<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="review-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-23-6835-2026</article-id><title-group><article-title>Reviews and syntheses: Snow algae on the move – biased motility and snowpack interaction from a biophysics perspective</article-title><alt-title>Snow algae on the move</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>de Vries</surname><given-names>Caitlin S.</given-names></name>
          <email>c.s.devries2@newcastle.ac.uk</email>
        <ext-link>https://orcid.org/0009-0008-7862-3554</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Sandells</surname><given-names>Melody J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4120-5163</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Davey</surname><given-names>Matthew P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Caldwell</surname><given-names>Gary S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Croze</surname><given-names>Ottavio A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1906-0532</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Geography and Natural Sciences, Northumbria University, Newcastle upon Tyne, NE1 8ST, United Kingdom</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Scottish Association for Marine Science, Oban, Argyll, PA37 1QA, United Kingdom</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Natural and Environmental Sciences, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Caitlin S. de Vries (c.s.devries2@newcastle.ac.uk)</corresp></author-notes><pub-date><day>5</day><month>October</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>19</issue>
      <fpage>6835</fpage><lpage>6855</lpage>
      <history>
        <date date-type="received"><day>15</day><month>April</month><year>2026</year></date>
           <date date-type="rev-request"><day>5</day><month>May</month><year>2026</year></date>
           <date date-type="rev-recd"><day>5</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>31</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Caitlin S. de Vries et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026.html">This article is available from https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e138">Snow algae are psychrophilic and psychrotolerant photosynthetic microorganisms found on every continent, predominantly in polar and alpine environments. Along with contributing to terrestrial carbon cycling and food webs, colourful snow algal blooms formed on snow surfaces can substantially reduce albedo and accelerate snowmelt. Despite their ecological importance, the mechanisms governing snow algae motility and migration within snow remain poorly understood. This review synthesises current knowledge of snow algae migration, spanning microscopic cell-level motility to macroscopic population-level redistribution within snowpacks. We consider snow algae as biologically active particles within the framework of active matter physics, exploring their non-equilibrium dynamics and self-propelled motion in response to environmental stimuli. Particular attention is given to directional behaviours in response to light, temperature and chemical gradients, gravity and fluid flow. Where data gaps exist, we draw parallels from studies on a model motile microalga, <italic>Chlamydomonas reinhardtii</italic>. Finally, we identify key knowledge gaps and highlight future research directions, with implications for understanding cryosphere processes, microswimmer tactic behaviour, and the development of emerging biotechnologies.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>UK Research and Innovation</funding-source>
<award-id>NE/S007512/1</award-id>
<award-id>NE/V000764/1</award-id>
<award-id>NE/Y006321/1</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e153">Snow algae, which give rise to the terms blood snow and watermelon snow, are visually striking and ecologically significant photosynthetic microalgae (Fig. <xref ref-type="fig" rid="F1"/>). Found on every continent, primarily in polar and alpine environments <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx114" id="paren.1"/>, these keystone primary producers act as terrestrial carbon sinks <xref ref-type="bibr" rid="bib1.bibx50" id="paren.2"/>, facilitate nutrient cycling <xref ref-type="bibr" rid="bib1.bibx130" id="paren.3"/>, influence microbial community dynamics <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx141" id="paren.4"/>, and provide nutrition for higher organisms <xref ref-type="bibr" rid="bib1.bibx97 bib1.bibx135" id="paren.5"/>. Through a reduction in albedo, snow algae can accelerate snow melt rates <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx70 bib1.bibx119 bib1.bibx139" id="paren.6"/>, potentially contributing to shifts in local hydrology <xref ref-type="bibr" rid="bib1.bibx62" id="paren.7"/>. Snow algal proliferation is linked to meltwater presence and the subsequent release of nutrients <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx61" id="paren.8"/>. How these relationships may respond under future climate change scenarios remains an important question and requires further investigation. Despite snow algae's global significance, the mechanics behind how they actively migrate through complex, porous and evolving snowpacks, their primary habitat, remains poorly understood.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e185">Surface snow algal blooms in Antarctica. <bold>(a)</bold> A surface green algal bloom, Ryder Bay, Antarctic Peninsula. Photo credit: Matthew Davey. <bold>(b)</bold> Surface red and green snow algal blooms, Antarctic Peninsula. Photo supplied by the National Snow and Ice Data Center, University of Colorado, Boulder. Photo credit: Bob Gilmore.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f01.jpg"/>

      </fig>

      <p id="d2e200">Partly due to their psychrophilic (optimum temperature range of 0–10 °C) and psychrotolerant (tolerate temperature ranges up to <inline-formula><mml:math id="M1" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 °C) nature <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx58 bib1.bibx91 bib1.bibx136" id="paren.9"/>, snow algal communities are attracting attention from the agri- and biotechnology sectors for potential outdoor cultivation in low-temperature climates <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx75 bib1.bibx123" id="paren.10"/>, where their growth reduces or eliminates the energy input typically required to maintain optimal temperatures for mesophilic species. Taxa such as <italic>Sanguina</italic> sp. <xref ref-type="bibr" rid="bib1.bibx106" id="paren.11"/> are rich in the red keto-carotenoid astaxanthin <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx74" id="paren.12"/> – a high value pigment within nutraceutical and aquaculture industries <xref ref-type="bibr" rid="bib1.bibx95" id="paren.13"/>. Snow algae are also being explored as candidate livestock feed supplements <xref ref-type="bibr" rid="bib1.bibx120" id="paren.14"/>. Additionally, the motility of microalgae in porous media has facilitated advances in medical technology, specifically pertaining to medical nanorobotics in targeted drug delivery using phototaxis (motion in response to light) and magneto-taxis (motion in response to a magnetic field), with applications for cancer treatment <xref ref-type="bibr" rid="bib1.bibx155 bib1.bibx156" id="paren.15"/>.</p>
      <p id="d2e236">Motile microalgae, including many species of snow algae, are considered self-propelled Brownian particles, falling under active matter (a class of non-equilibrium soft matter), whose motion, unlike most other particles', cannot be explained solely by equilibrium physics. Instead, their behaviours must be understood within a non-equilibrium physics framework as they harness energy from their environment and convert it into directed motion <xref ref-type="bibr" rid="bib1.bibx12" id="paren.16"/>. Active particles derive propulsion from biological, chemical, or physical processes, and exhibit emergent collective behaviours on macroscopic scales (e.g. bioconvection patterns) <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx36" id="paren.17"/>. Motile microalgae propel themselves through flagellar-beating, a biological process where adenosine triphosphate (ATP) is converted into adenosine diphosphate (ADP) which releases usable energy to power the alga's flagella via microtubule sliding <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx89" id="paren.18"/>. The aforementioned propulsion process can be contrasted with synthetic active particles such as catalytic Janus particles, which self-propel by catalysing chemical reactions on one of their two differently coated hemispheres. This reaction generates local concentration gradients in the surrounding fluid producing an uneven distribution of molecules around the particle, leading to interfacial pressure differences that drive its motion <xref ref-type="bibr" rid="bib1.bibx35" id="paren.19"/>. Mechanisms such as this one which enable microscopic particles to be propelled within a fluid without externally applied fields are called self-diffusiophoresis <xref ref-type="bibr" rid="bib1.bibx44" id="paren.20"/>.</p>
      <p id="d2e254">Although active matter is a rapidly expanding area of study in theoretical and experimental physics, its biological and environmental applications remain largely underexplored. Snow algae therefore offer a unique opportunity to study active matter in a natural complex and porous environment, snow.</p>
      <p id="d2e257">This review focuses on the motility mechanisms of snow algae and their migration within snowpacks at both macroscopic (e.g. centimetre) and microscopic (e.g. micron) scales. Particular emphasis is be placed on directional responses (taxes) to environmental stimuli, including phototaxis, movement in response to a light gradient <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx67" id="paren.21"/>; chemotaxis, movement in response to a chemical gradient <xref ref-type="bibr" rid="bib1.bibx87" id="paren.22"/>; gravitaxis, movement in response to gravitational forces <xref ref-type="bibr" rid="bib1.bibx55" id="paren.23"/>; gyrotaxis, movement resulting from a combination of gravitational forces and viscous torque in a fluid <xref ref-type="bibr" rid="bib1.bibx140" id="paren.24"/>; and thermotaxis, movement in response to a temperature gradient <xref ref-type="bibr" rid="bib1.bibx125" id="paren.25"/>. Although snow algae species are the focus of this review, data gaps exist, particularly in relation to motility in response to environmental stimuli. Where data are deficient, we draw parallels based on taxis behaviours of the freshwater species <italic>Cd. reinhardtii</italic> <xref ref-type="bibr" rid="bib1.bibx118" id="paren.26"/> – a well studied model motile microalga. <italic>Cd. reinhardtii</italic> although more commonly written as <italic>C. reinhardtii</italic>, will be written as such for the purpose of distinguishing between multiple genera beginning with the same letter.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Snow algae physiology and taxonomy</title>
      <p id="d2e296">The term snow algae covers a broad range of microalgal species and strains <xref ref-type="bibr" rid="bib1.bibx62" id="paren.27"/>. Historically, one of the most extensively documented species of snow algae was classified as <italic>Chlamydomonas nivalis</italic> <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx147 bib1.bibx157" id="paren.28"><named-content content-type="pre">e.g.</named-content></xref>. Prior to the widespread availability of DNA barcoding, the majority of red and green, spherical snow algal cells were assigned to <italic>Cd. nivalis</italic> based on visual morphology. Many algae which were previously classified as the original <italic>Cd. nivalis</italic> have since been shown to be genetically differentiable, leading the <italic>Chlamydomonas</italic> genus to be recognised as polyphyletic <xref ref-type="bibr" rid="bib1.bibx84 bib1.bibx37 bib1.bibx106 bib1.bibx111" id="paren.29"/>. Polyphyly is where a group of organisms are deemed to have multiple distinct ancestral groups as opposed to a single common ancestor, making it no longer appropriate to classify them in the same taxonomic group; a genus in the case of <italic>Cd. nivalis</italic>.</p>
      <p id="d2e326">In recent years, two novel genera, <italic>Rosetta</italic> <xref ref-type="bibr" rid="bib1.bibx37" id="paren.30"/> and <italic>Sanguina</italic> <xref ref-type="bibr" rid="bib1.bibx106" id="paren.31"/>, have been characterised, expanding the known diversity of snow algal taxa associated with red snow blooms. These blooms are now recognised to be primarily associated with several genera, including the aforementioned <italic>Rosetta</italic> and <italic>Sanguina</italic> as well as <italic>Chlainomonas</italic> <xref ref-type="bibr" rid="bib1.bibx93" id="paren.32"/>, <italic>Chloromonas</italic> <xref ref-type="bibr" rid="bib1.bibx85" id="paren.33"/> and <italic>Limnomonas</italic> <xref ref-type="bibr" rid="bib1.bibx138" id="paren.34"/>, in no particular order.</p>
      <p id="d2e367">Snow algae species can also be responsible for creating yellow/golden-brown, orange and green blooms in snow, for example <italic>Kremastochrysopsis austriaca</italic> and <italic>americana</italic> <xref ref-type="bibr" rid="bib1.bibx115" id="paren.35"/> can create yellow blooms, <italic>Chloromonas krienitzii</italic> <xref ref-type="bibr" rid="bib1.bibx107" id="paren.36"/> can create orange blooms and <italic>Chloromonas kaweckae</italic> <xref ref-type="bibr" rid="bib1.bibx108" id="paren.37"/> green blooms. The colour of a snow algal bloom depends on cyst maturity and the astaxanthin to chlorophyll-a ratio present within the cells <xref ref-type="bibr" rid="bib1.bibx107" id="paren.38"/>; impacts on snow albedo and melt rate have been shown to differ amongst snow algal bloom colours <xref ref-type="bibr" rid="bib1.bibx70" id="paren.39"/>. Astaxanthin is an antioxidant which provides algal cells with protection from damage brought on by intense solar radiation and oxidative stress at the snowpack surface <xref ref-type="bibr" rid="bib1.bibx48" id="paren.40"/>, not necessarily specific protection from ultra-violet radiation as once thought <xref ref-type="bibr" rid="bib1.bibx39" id="paren.41"/>.</p>
      <p id="d2e404">Additionally, although there are species of non-motile psychrophilic and psychrotolerant snow algae which can be found in algal blooms on snowpacks (e.g. <italic>Chlorella</italic> sp.) <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx131" id="paren.42"/>, this review will focus on motile snow algae with biflagellated and quadriflagellated stages e.g.: <italic>Chloromonas typhlos</italic>, <italic>Chlainomonas rubra</italic>, <italic>Limnomonas spitsbergensis</italic> and <italic>Sanguina nivaloides</italic>.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Use of flagella</title>
      <p id="d2e434">Motile microorganisms, sometimes referred to as microswimmers, have evolved a range of methods of self-propulsion, including flagellar action typically involving the waving or breast-stroke like motion of flagella <xref ref-type="bibr" rid="bib1.bibx102" id="paren.43"/>, which are elongated structural extensions to the cell (the appendages attached to the cell bodies in Fig. <xref ref-type="fig" rid="F2"/>). The motile snow algae focused on in this review are biflagellated, meaning they have two flagella <xref ref-type="bibr" rid="bib1.bibx110" id="paren.44"/>.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e447">Images taken of cryophilic microalgal species using a scanning electron microscope. WD <inline-formula><mml:math id="M2" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Working Distance, BI <inline-formula><mml:math id="M3" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Beam Intensity, MAG = Magnification. <bold>(a)</bold> <italic>Chlorominima collina</italic> cell. The microalgal cell has two flagella that it uses to swim. Culture ordered from the Culture Collection of Algae and Protozoa: CCAP 6/1. Strain isolated from Collins Glacier, King George Island, South Shetland Islands. WD: 9.97 mm, BI: 7.00, SEM MAG: 12.7 kx. Photo credit: Caitlin de Vries. <bold>(b)</bold> <italic>Limnomonas</italic> sp. cell. The microalgal cell has two flagella that it uses to swim. Culture ordered from the Culture Collection of Algae and Protozoa: CCAP 6/3 <xref ref-type="bibr" rid="bib1.bibx26" id="paren.45"/>. Strain isolated from Rothera Point, Ryder Bay, Adelaide Island, Antarctic Peninsula. WD: 10.00 mm, BI: 7.00, SEM MAG: 10.5 kx. Photo credit: Caitlin de Vries.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f02.jpg"/>

        </fig>

      <p id="d2e486">Motile algal cells of the same species can be identified by the distinct gait that they exhibit due to factors such as the symmetry of their flagella and the fibres which attach the flagella to the basal body <xref ref-type="bibr" rid="bib1.bibx145" id="paren.46"/>. For example, the model species <italic>Cd. reinhardtii</italic> has two physically symmetric flagella. The flagella's basal apparatus is structured so that it results in a non-planar, three-dimensional, flagellar beat <xref ref-type="bibr" rid="bib1.bibx151" id="paren.47"/>. Flagellar beating has been proven to be critical to phototactic response in <italic>Cd. reinhardtii</italic> <xref ref-type="bibr" rid="bib1.bibx146" id="paren.48"/> and is hypothesized to be relevant to other tactic responses, although this has not yet been proven. This, combined with the flagella having different phases, controls <italic>Cd. reinhardtii</italic>'s helical swimming pattern <xref ref-type="bibr" rid="bib1.bibx24" id="paren.49"/>. Microalgae can also have morphologically asymmetric flagella. Golden snow algae from the genus <italic>Hydrurus</italic> such as <italic>H. nivalis</italic> and <italic>H. svalbardensis</italic> have physically asymmetric flagella, one long and one very short, only a fraction of the size of the other <xref ref-type="bibr" rid="bib1.bibx109" id="paren.50"/>, though little is known about <italic>Hydrurus</italic>'s swimming pattern as many of the species have only recently been characterised.</p>
      <p id="d2e528">This motility enables the microalgae to navigate complex environments such as snow, where their movement is heavily influenced by fluid dynamics, interactions with the medium's structure, and external stimuli. Understanding microalgal movement therefore requires consideration of the hydrodynamic regime within which microalgae operate.</p>
      <p id="d2e531">In fluid mechanics, the Reynolds number (<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:math></inline-formula>) is used as a dimensionless parameter to characterise the relative importance of inertial and viscous forces and to predict whether a flow will be laminar (viscous forces are dominant, <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) or turbulent (inertial forces are dominant, <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>≫</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). For swimming microalgae in a fluid, Reynolds numbers are extremely low due to their small size, meaning that inertial forces are negligible compared to viscous forces. A Reynolds number is denoted by:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M9" display="block"><mml:mrow><mml:mi>R</mml:mi><mml:mi>e</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>L</mml:mi><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mi mathvariant="italic">μ</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is fluid density, <inline-formula><mml:math id="M11" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is the characteristic length of the flow, which one can assume is the length of the algal cell body, <inline-formula><mml:math id="M12" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> the dynamic viscosity of the fluid and <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the swimming or flow speed.</p>
      <p id="d2e643">For a contextual example using the model algal species <italic>Cd. reinhardtii</italic>, assuming a mean swimming speed of <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">130</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m s<sup>−1</sup> <xref ref-type="bibr" rid="bib1.bibx52" id="paren.51"/>, a cell length <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mi>L</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m <xref ref-type="bibr" rid="bib1.bibx82" id="paren.52"/>, water density <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> kg m<sup>−3</sup> and dynamic viscosity <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>≈</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/></mml:mrow></mml:math></inline-formula>kg m<sup>−1</sup> s<sup>−1</sup>, the Reynolds number is calculated as:

                <disp-formula specific-use="align"><mml:math id="M24" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>R</mml:mi><mml:msub><mml:mi>e</mml:mi><mml:mi mathvariant="normal">alga</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">130</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e924">For an average human swimmer in the same environment (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mi>L</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>):

                <disp-formula id="Ch1.Ex3"><mml:math id="M27" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>R</mml:mi><mml:msub><mml:mi>e</mml:mi><mml:mi mathvariant="normal">human</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1078">The Reynolds number corresponding to the human swimmer is roughly <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> times larger than that of the alga. In the case of the alga, viscous forces dominate and for the human swimmer, inertial forces dominate <xref ref-type="bibr" rid="bib1.bibx41" id="paren.53"/>. The high ratio of viscous to inertial forces makes it difficult for microalgae to use the symmetrical swimming strategies employed by larger organisms like humans. For swimmers with low Reynolds numbers like microalgae, due to negligible inertial forces, reciprocal or symmetrical strokes are rendered ineffective for propulsion and produce no net motion. Instead, algae have evolved unique swimming techniques, such as the use of a helical flagellum and whip-like motions to navigate their environments effectively <xref ref-type="bibr" rid="bib1.bibx36" id="paren.54"/>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Migration within a snowpack</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Snow</title>
      <p id="d2e1114">The structure of a snowpack, shaped by the arrangement and size of individual snow crystals, plays a key role in determining how motile algae navigate and colonise its interstitial spaces. Snow crystals primarily form when water vapor condenses onto tiny foreign particles, typically around one micron in size, known as cloud condensation nuclei, which include dust, sea salt, soot, pollen, and bacteria <xref ref-type="bibr" rid="bib1.bibx134" id="paren.55"/>. This process occurs in a supersaturated atmosphere. Although the unit cell structure of ice is tetrahedral due to the 104.5° angle of oxygen-hydrogen covalent bonding at the molecular level, snow crystal's hexagonal symmetry arises from the way the molecules stack together in a repeating pattern, creating a six-sided crystal lattice. Snow crystals will take on different morphologies e.g. dendrites, plates, needles or columns depending on the climatic and meteorological conditions under which they grow <xref ref-type="bibr" rid="bib1.bibx77" id="paren.56"/>.</p>
      <p id="d2e1123">Snow crystals fall to the ground and accumulate to form snowpacks. Within these snowpacks, the crystals undergo continuous metamorphic changes driven by variations in pressure and temperature gradients. As a result, the structure of the snowpack evolves over time and varies spatially throughout its depth. During this process, bonds develop between individual snow crystals through the exchange of water between vapour and solid phases. Low temperature gradients produce rounded snow crystals when the temperature gradient is <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> °C per 10 cm, while high gradients <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> °C per 10 cm create faceted ones <xref ref-type="bibr" rid="bib1.bibx78 bib1.bibx132" id="paren.57"/>. Rounded crystals are commonly found in the upper portions of the snowpack. At the base, specifically under high temperature gradient conditions, repeated sublimation and recrystallisation will form large depth hoar crystals. In melting snow, where snow algae thrive, water films form around and between crystals, binding them into clusters.</p>
      <p id="d2e1153">Common snow algae species such as <italic>C. typhlos</italic>, <italic>Chl. collina</italic>, <italic>S. nivaloides</italic> and <italic>S. aurantia</italic> fall into a size range of approximately 5–40 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m in length <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx106 bib1.bibx114" id="paren.58"/>. Individual snow crystals typically range from <inline-formula><mml:math id="M32" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.5 to 3 mm, depending on crystal type (e.g. rounded crystals are smaller, while depth hoar crystals are larger) <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx86" id="paren.59"/>, making snow crystals up to three orders of magnitude larger than the microalgae navigating around them, as seen in Fig. <xref ref-type="fig" rid="F3"/>.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e1195">In-situ photography of red snow algae cells within the snowpack, Robert Island, Antarctica <xref ref-type="bibr" rid="bib1.bibx139" id="paren.60"/>. Photo credit: Andrew Gray.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f03.jpg"/>

        </fig>

      <p id="d2e1207">Fresh snow reflects more than 90 % of incoming visible radiation, making it the most reflective natural surface on Earth. Consequently, snow albedo represents one of the cryosphere's most significant influences on Earth's climate <xref ref-type="bibr" rid="bib1.bibx4" id="paren.61"/>. The albedo of freshly fallen snow is <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn></mml:mrow></mml:math></inline-formula>, a unit-less measure of the fraction of incident solar radiation reflected by a surface (i.e. the ratio of upwelling to downwelling short-wave radiation) <xref ref-type="bibr" rid="bib1.bibx28" id="paren.62"/>, described by the equation:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M34" display="block"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mo>↑</mml:mo></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mo>↓</mml:mo></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is the albedo, <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mo>↑</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is the upwelling (reflected) solar radiation, and <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mo>↓</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is the downwelling (incoming) solar radiation <xref ref-type="bibr" rid="bib1.bibx121" id="paren.63"/>. From this, the amount of solar radiation absorbed by the surface, <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>net</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, is:

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M39" display="block"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mtext>net</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo><mml:msup><mml:mi>S</mml:mi><mml:mo>↓</mml:mo></mml:msup></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1323">Radiative forcing associated with snow arises from changes in the surface energy balance caused by reductions in snow albedo. This occurs through enhanced absorption of solar irradiance as the snow surface is darkened by light-absorbing particles, including snow algae, dust, and black carbon <xref ref-type="bibr" rid="bib1.bibx128" id="paren.64"/>.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Microalgal migration in a snowpack at the macroscopic scale</title>
      <p id="d2e1336">At the macroscopic scale, microalgal migration within snowpacks reflects the combined influence of environmental gradients, dispersal processes, and seasonal dynamics, shaping both the spatial distribution and timing of blooms. An original overview by <xref ref-type="bibr" rid="bib1.bibx59" id="text.65"/> described snow algae participating in a cyclical process where they overwinter as dormant cysts on a summer snowpack surface and/or the soil-snowpack interface. Current knowledge suggests that with the onset of spring snow melt, the cysts germinate into green, motile flagellated cells which respond to spring meltwater, light and the subsequent release of nutrients by migrating upward toward the newly accumulated snow surface formed during autumn and winter, as shown in Fig. <xref ref-type="fig" rid="F4"/>. At the snow surface, or from another environmental cue, the microalgae transform into non-motile cells once again, appearing in colours including green, yellow, gold, orange and red. There is evidence for this lifecycle in the <italic>Chloromonas</italic> genus (e.g. <xref ref-type="bibr" rid="bib1.bibx113 bib1.bibx124" id="altparen.66"/>), as well as a similar lifecycle in the <italic>Chlainomonas</italic> genus (though habitat specific in a snowy lake environment) <xref ref-type="bibr" rid="bib1.bibx83" id="paren.67"/>, but it has been only theorised for other algae genera and species.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e1359">Sub-surface green and red snow algae blooms, Ryder Bay, Antarctic Peninsula. Photo credit: Matthew Davey.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f04.jpg"/>

          </fig>

      <p id="d2e1368">Snow algae have been shown to reduce snow albedo up to 44 % <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx80" id="paren.68"/>. <xref ref-type="bibr" rid="bib1.bibx70" id="text.69"/> quantified how differently coloured snow algal blooms influence snow albedo in the Antarctic Peninsula using field observations, spectral reflectance measurements, and pigment analysis. Compared to a control site without visible algae (0.85 <inline-formula><mml:math id="M40" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.043), albedo was substantially reduced in algae-covered areas: 0.44 <inline-formula><mml:math id="M41" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12 for green-dominated sites, 0.65 <inline-formula><mml:math id="M42" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09 for red-dominated sites, and 0.58 <inline-formula><mml:math id="M43" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.064 for mixed communities. This corresponds to an approximate 40 % reduction in snow albedo caused by green algal blooms and a 20 % reduction in snow albedo caused by red, with red communities also absorbing more light per unit pigment, particularly in the green wavelengths.</p>
      <p id="d2e1409">The temporal aspect of snow algal migration and lifecycle in <italic>Chlamydomonas</italic> and <italic>Chloromonas</italic> species has been described by <xref ref-type="bibr" rid="bib1.bibx72" id="text.70"/>, having found snow algae at a study site in the Giant Mountains, Czech Republic to complete their entire lifecycle within a snowpack in a span of several weeks. <xref ref-type="bibr" rid="bib1.bibx119" id="text.71"/> reported that the formation of red algal blooms (when snow algal cells reach their non-motile, red cyst phase on a snowpack surface) in the European Alps requires the presence of liquid water throughout the whole snow column for at least 46 d. One would hypothesise that this value would differ for differing species.</p>
      <p id="d2e1424"><xref ref-type="bibr" rid="bib1.bibx76" id="text.72"/> used high-resolution Sentinel-1 and Sentinel-2 satellite data to examine relationships between temperature, melt patterns, and snow algal biomass. Their multi-year analysis showed that algal biomass peaks about two months before maximum melt and temperature, likely because algae emerge early in the melt season when warming creates interstitial water for growth. The study also found that inconsistent intraseasonal temperatures hinder bloom development.</p>
      <p id="d2e1429">To investigate life cycle linked migration, during summer, <xref ref-type="bibr" rid="bib1.bibx113" id="text.73"/> applied a bleach-containing mat to the surface of a subsection of an Alaskan ice field snowpack colonised by snow algae. Cell abundance beneath the mat, in the untreated areas surrounding the mat, and at a distant control site was measured the following summer after the treatment. The researchers defined two pathways for algae to recolonise the snow each year: active resurfacing and passive dispersal. Active resurfacing was hypothesised to occur when algal cysts germinate at the bottom of the snowpack entering the green motile phase in response to light and nutrient gradients, then transforming into non-motile, red cysts once again on top of the snowpack, dividing clonally (exhibiting mitosis and reproducing a genetically identical daughter cell). Passive dispersal was described as algal cells being introduced through passive transportation methods such as wind, water and birds. The authors concluded that at the peak of the growing season actively resurfacing cells were responsible for 65 % of microalgal surface abundance and that passive dispersion accounted for the remaining 35 %. The authors stated that no effort was made to classify the cells beyond being members of the <italic>Chlamydomonadaceae</italic> family.</p>
      <p id="d2e1438">These findings are consistent with <xref ref-type="bibr" rid="bib1.bibx119" id="text.74"/>, where Sentinel-2 satellite data from the European Alps displayed red algal blooms that persisted in environments where the ground was not permanently frozen. This pattern is notable in light of evidence that <italic>S. nivaloides</italic> cysts irreversibly lose photosynthetic capacity when exposed to <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> °C <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx119" id="paren.75"/>. Although the relationship remains speculative,  inhibited photosynthetic ability would presumably impact upwards swimming behaviour motivated by phototaxis. If the active resurfacing pathway is curtailed, bloom dynamics should be similarly impacted.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Microalgal migration in a snowpack at the microscopic scale</title>
      <p id="d2e1468">On a microscopic scale, snow algae have been thought to inhabit the quasi-liquid layer <xref ref-type="bibr" rid="bib1.bibx51" id="paren.76"/>, a thin film of liquid water that surrounds snow crystals and persists at sub-zero temperatures, forming on the crystal surface within approximately 20 Kelvin of the melting point <xref ref-type="bibr" rid="bib1.bibx152" id="paren.77"/>. This naturally raises the question of whether algae are able to actively swim within this layer. Early observations that appeared to support this idea were reported by <xref ref-type="bibr" rid="bib1.bibx148" id="text.78"/>, who examined metamorphosed snow crystals transported from remote regions in the United States. They identified structures thought to be red snow algae spores located just beneath the uppermost water film on the crystals, which could be revealed by etching away a few microns of ice from the surface.</p>
      <p id="d2e1480">However, the physical structure of liquid water within snowpacks may limit this possibility. In non-melting snow, the liquid water content is typically around 4 %–5 %. Due to surface tension, approximately 80 % of this water is held in menisci which form at contact points between snow crystal grains (Fig. <xref ref-type="fig" rid="F5"/>) <xref ref-type="bibr" rid="bib1.bibx18" id="paren.79"/>. The remaining 20 % exists as a quasi-liquid layer coating the snow crystals.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e1490">A visualisation of the distribution of liquid water in snow with a high liquid water content, taken from <xref ref-type="bibr" rid="bib1.bibx18" id="text.80"/>.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f05.png"/>

          </fig>

      <p id="d2e1503">This quasi-liquid layer is extremely thin, ranging from only a few molecular layers (<inline-formula><mml:math id="M45" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.37 nm per layer; <xref ref-type="bibr" rid="bib1.bibx122" id="altparen.81"/>) up to around 10 nm as temperature increases <xref ref-type="bibr" rid="bib1.bibx129 bib1.bibx152" id="paren.82"/>. In contrast, motile snow algae cells in their flagellated phase are several orders of magnitude larger, typically measuring 6–20 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx106 bib1.bibx114" id="paren.83"/>, and up to 40 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m for species in some larger genera such as <italic>Chlainomonas</italic> <xref ref-type="bibr" rid="bib1.bibx83" id="paren.84"/>. The large size disparity suggests that active microalgal swimming behaviour within the quasi-liquid layer is unlikely. Instead, it may help explain why snow algae migration and bloom development tend to peak during snowmelt, when larger, interconnected water channels form that are sufficient to support cellular movement.</p>
      <p id="d2e1545"><xref ref-type="bibr" rid="bib1.bibx39" id="text.85"/>, using X-ray tomography at a <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m resolution and focused-ion-beam scanning-electron-microscopy, observed field samples of <italic>S. nivaloides</italic> and found that dormant red cysts from this species were only present in the liquid water fraction of the snowpack, none appearing within the ice grain cores. These findings contrast with those of <xref ref-type="bibr" rid="bib1.bibx96" id="text.86"/>, who reported that non-motile snow algal cysts were not transported through meltwater channels between snow crystals during daylight hours when snowmelt and channels of liquid water would have likely occurred. It is possible that <xref ref-type="bibr" rid="bib1.bibx96" id="text.87"/> were focused on migration at a macroscopic scale, with their most shallow samples being taken three centimetres from the snowpack surface, whereas <xref ref-type="bibr" rid="bib1.bibx39" id="text.88"/> were doing up to a subcellular resolution of sample investigation. This could mean that there was potentially cell transport from percolation and cells present in liquid channels occurring in both studies, just not reported at a fine enough resolution for comparison purposes in the <xref ref-type="bibr" rid="bib1.bibx96" id="paren.89"/> study. Additionally, the difference in findings could be related to potential melt and refreezing during sample transport during the <xref ref-type="bibr" rid="bib1.bibx39" id="text.90"/> study. Or, lastly, the difference could also relate to the timescales of the studies or the environment that the microalgae were observed in, which could modify the microstructure of the snow, as we continue to discuss below.</p>
      <p id="d2e1577">Preferential flow paths within snowpacks form channels with flow velocities which have been observed to have speeds between 12 and 30 mm s<sup>−1</sup> <xref ref-type="bibr" rid="bib1.bibx47" id="paren.91"/>. The now polyphyletic snow alga <italic>Cd. nivalis</italic>, has a reported mean swimming speed of 0.061 mm s<sup>−1</sup>, negligible in comparison <xref ref-type="bibr" rid="bib1.bibx57" id="paren.92"/>. However, snowpacks may not always support flow.</p>
      <p id="d2e1613">The characteristic viscous diffusion timescale <inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, which determines how quickly momentum diffuses across a channel of width <inline-formula><mml:math id="M52" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>, is given by:

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M53" display="block"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>∼</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mi mathvariant="italic">ν</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M54" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is the width of a channel of flowing liquid within the snowpack (Fig. <xref ref-type="fig" rid="F6"/>) and <inline-formula><mml:math id="M55" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> is the kinematic viscosity of the melting snow and ice. Here <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> is the dynamic viscosity of the melting snow and ice and <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is its density.</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e1699">A diagram of water channels within a snowpack, where L1 <inline-formula><mml:math id="M59" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> L2. Water flowing in the narrower channel (L1) has a shorter viscous diffusion timescale than water flowing in the wider channel (L2). Created in BioRender  <xref ref-type="bibr" rid="bib1.bibx29" id="paren.93"/>.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f06.png"/>

          </fig>

      <p id="d2e1719">This quantity measures how quickly momentum is transported through the action of viscosity from the boundaries towards the centre of a channel. This indicates that in narrow channels or high-viscosity regions, the timescale <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> can be long, and snowpack flow may be effectively stagnant on the timescale of algal swimming.  Wider channels are able to support sustained, fast-moving water, as momentum diffusion from the boundaries occurs over short timescales. Consequently, microalgae within these channels are likely to be passively transported by advection rather than actively swimming against the flow (however, swimming may still play a role due to cell rotation by shear and gravity, see Sect. <xref ref-type="sec" rid="Ch1.S4.SS4"/> on gyrotaxis). When snow becomes fully saturated with liquid water, such as in capillary zones that form above impermeable layers like ice, water movement becomes negligible as <inline-formula><mml:math id="M61" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is very small (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> s for a 100 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m-wide channel filled with water). These zones can reach thicknesses of up to approximately 20 cm <xref ref-type="bibr" rid="bib1.bibx23" id="paren.94"/>, providing an environment in which microalgae can move independently of bulk water flow <xref ref-type="bibr" rid="bib1.bibx15" id="paren.95"/>. However, the limited thickness of these saturated regions suggests that additional transport must explain the presence of snow algae at greater heights within deeper snowpacks <xref ref-type="bibr" rid="bib1.bibx124" id="paren.96"/>.</p>
      <p id="d2e1768">Snow algae can also enhance their opportunity for migration through interfacial pre-melting. Interfacial pre-melting occurs when an active particle or organism is embedded within a host solid, such as ice, near its bulk melting temperature, where surface intermolecular forces induce the formation of a thin melted film at the interface of the particle and the host <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx142" id="paren.97"/>. The thickness of the film around the active particle (e.g. snow algae) is dependent on temperature, impurities, material properties and geometry. This pre-melting also contributes to thermal regelation, which is the lowering of the melting point of a substance under pressure, and refreezing once this pressure is reduced. For example, as the ice or snow pre-melts against the algal cell, the imposition of a temperature gradient will cause the particle to move by a process of melting and refreezing. The alga will continue migrating towards comparatively warmer areas in the solid due to pressure differences caused by temperature gradient, the warmer areas experiencing lower pressure <xref ref-type="bibr" rid="bib1.bibx71" id="paren.98"/>. Active particles such as biota have also developed unique survival strategies when trapped in ice, such as producing exopolymeric substances and antifreeze glycoproteins which increase interfacial melting, enhancing their motility and survival ability in harsh, icy conditions e.g. <xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx116" id="text.99"/>. It has also been shown that motile microalgae in the genus <italic>Chlamydomonas</italic> can produce ice-binding proteins <xref ref-type="bibr" rid="bib1.bibx112" id="paren.100"/>, which bind to the surfaces of ice crystals and hinder their growth <xref ref-type="bibr" rid="bib1.bibx6" id="paren.101"/>. Particle bio-locomotion can also be directed by nutrient availability in ice and snowpacks. Therefore, bio-enhanced thermal regelation and chemically directed bio-locomotion work together to govern algal motility in ice and snow <xref ref-type="bibr" rid="bib1.bibx142" id="paren.102"/>.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Tactic behaviour</title>
      <p id="d2e1803">Tactic behaviour is a bias in swimming direction towards or away from a stimulus of biological, chemical or physical origins. For snow algae, these taxes in combination govern the cell's movement. We can model this using an agent based model, following what has been done for other algal species <xref ref-type="bibr" rid="bib1.bibx65" id="paren.103"/>. From the perspective of a cell, the following are equations of motion describing the orientation dynamics influenced by taxes.</p>
      <p id="d2e1809">The algal cell position evolves according to:

          <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M64" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>∈</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the local velocity of any flow in the liquid layers within the snowpack, <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>∈</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> denotes the algal cell's position, <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>∈</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is its orientation unit vector, and <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the constant swimming speed.</p>
      <p id="d2e1923">The algal cell's change in orientation with respect to time is given by:

          <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M69" display="block"><mml:mrow><mml:mtable class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>d</mml:mi><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>B</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:mo>[</mml:mo><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>(Gravitaxis term)</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>(</mml:mo><mml:mi>I</mml:mi><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">d</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>I</mml:mi><mml:mo>)</mml:mo><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mtext>(Phototaxis term)</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="bold-italic">ω</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mtext>(Flow term)</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="bold-italic">χ</mml:mi><mml:mo>(</mml:mo><mml:mi>c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>c</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>(Chemotaxis term)</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="bold-italic">η</mml:mi><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>(Thermotaxis term)</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="bold-italic">ξ</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mtext>(Rotational noise term)</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2129">Here, the first term denotes gravitactic reorientation, with timescale <inline-formula><mml:math id="M70" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>, towards the vertical direction denoted by the unit vector <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>∈</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. We see that when <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow></mml:math></inline-formula>, there is no contribution to the reorientation due to gravitaxis: cells swim upward <xref ref-type="bibr" rid="bib1.bibx102" id="paren.104"/>. The second term denotes phototactic reorientation. We write this in the general form of a linear combination of reorientation toward direction of the light, with intensity <inline-formula><mml:math id="M73" display="inline"><mml:mi>I</mml:mi></mml:math></inline-formula>, given by the unit vector <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">d</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>I</mml:mi></mml:mrow><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>I</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>∈</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and reorientation in response to the intensity gradient <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx149" id="paren.105"/>. Here <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are constants and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>(</mml:mo><mml:mi>I</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is a general function of light intensity <inline-formula><mml:math id="M79" display="inline"><mml:mi>I</mml:mi></mml:math></inline-formula>. If <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, phototactic reorientation will stop when <inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="bold-italic">p</mml:mi></mml:math></inline-formula> is aligned with the intensity gradient, while if <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, cells will no longer reorient when <inline-formula><mml:math id="M83" display="inline"><mml:mi mathvariant="bold-italic">p</mml:mi></mml:math></inline-formula> is aligned with <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">d</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The third term in Eq. (<xref ref-type="disp-formula" rid="Ch1.E6"/>) models reorientation by a flow with vorticity <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">ω</mml:mi><mml:mo>∈</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. For simplicity we here assume cells are spherical and ignore their ellipsoidal shape; the effect of the flow for nonspherical cells can be modelled using a rate of strain tensor <xref ref-type="bibr" rid="bib1.bibx102" id="paren.106"/>. The combination of the first and third term is known as gyrotaxis, which will be described in Sect.<xref ref-type="sec" rid="Ch1.S4.SS4"/>. The fourth term models reorientation by chemotaxis, expressed by a general vector function <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">χ</mml:mi><mml:mo>(</mml:mo><mml:mi>c</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>c</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M87" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is a concentration of chemoattractant/chemorepellant and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula> is its gradient. Similarly, reorientation by thermotaxis, is given by <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">η</mml:mi><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M90" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the temperature of the local environment and <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> its gradient. These taxes are expressed as general vector functions because they have not been mathematically modelled and remain, to the best of our knowledge, not well understood in microalgae, snow or otherwise. Understanding them may, in analogy with other microorganisms, involve spatial or temporal sensing, memory and adaptation <xref ref-type="bibr" rid="bib1.bibx98 bib1.bibx137" id="paren.107"/>. The final term models the reorientation of the cell due to noise, e.g. due to stochasticity in the flagellar beat <xref ref-type="bibr" rid="bib1.bibx145" id="paren.108"/>. Lastly, <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">ξ</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>∈</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is a 3D Gaussian white noise vector.</p>
      <p id="d2e2458">In addition to the assumptions mentioned, we should highlight that the agent based modelling framework above assumes that there is no coupling between taxes. An alternative approach to modelling populations of swimming microalgae is via continuum models, where differential equations for the probability density <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of finding microalgae at position <inline-formula><mml:math id="M94" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and time <inline-formula><mml:math id="M95" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> are solved to evaluate the distribution of algae in space and time. We will not review these models here, but we refer the reader to the literature: <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx100 bib1.bibx102" id="text.109"/>.</p>
      <p id="d2e2496">The following subsections examine what is known of each of the taxes listed in Eq. (<xref ref-type="disp-formula" rid="Ch1.E6"/>).</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Phototaxis</title>
      <p id="d2e2508">Phototaxis is the movement of organisms in response to light stimuli. Positive phototaxis occurs when an organism migrates towards a light source, and negative when away <xref ref-type="bibr" rid="bib1.bibx14" id="paren.110"/>. It is a key behavioural trait in many snow algae <xref ref-type="bibr" rid="bib1.bibx27" id="paren.111"/>. One of the most studied algae with regards to phototaxis is the freshwater microalga <italic>Cd. reinhardtii</italic>, with a recent review covering the details of this species' phototactic behaviour <xref ref-type="bibr" rid="bib1.bibx65" id="paren.112"/>. Like other microalgae, some snow algae exhibit positive phototaxis under low to moderate light intensities, enabling movement toward light sources to optimise photosynthesis <xref ref-type="bibr" rid="bib1.bibx27" id="paren.113"/>. However, when light intensity exceeds a critical threshold, negative phototaxis is exhibited. For example, <xref ref-type="bibr" rid="bib1.bibx96" id="text.114"/> observed motile snow algae at the snowpack surface switching to negative phototaxis when solar radiation reached approximately 170 W m<sup>−2</sup>. This shift to negative phototaxis likely serves as a protective response, allowing cells to avoid light-induced stress such as photooxidation – a process in which intense light and oxygen lead to the degradation of chlorophyll and cellular organelles <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx36 bib1.bibx40" id="paren.115"/>.</p>
      <p id="d2e2545">Ciliate microalgae sense light using eyespots and channelrhodopsins (Fig. <xref ref-type="fig" rid="F7"/>) <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx127" id="paren.116"/>. Photoreceptor activation modulates intracellular calcium currents, inducing asymmetric flagellar beating and thereby steering cell movement toward or away from light sources <xref ref-type="bibr" rid="bib1.bibx103" id="paren.117"/>. <italic>Cd. reinhardtii</italic> swims in a helical path, so that its eyespot experiences an alternation of light and shade, which is used to control swimming direction towards the light, see Fig. <xref ref-type="fig" rid="F7"/>.  Interestingly, some snow algae without a visible eyespot have been shown to exhibit phototaxis as well <xref ref-type="bibr" rid="bib1.bibx27" id="paren.118"><named-content content-type="pre">e.g. <italic>C. hindakii</italic> in</named-content></xref>. <xref ref-type="bibr" rid="bib1.bibx27" id="text.119"/> examined phototaxis under varied temperature conditions in snow algal species <italic>L. spitsbergensis</italic>, <italic>Gloeocystsis</italic> sp., <italic>S. nivaloides</italic>, <italic>C. hindakii</italic>, <italic>Chrysophyceae</italic> sp., and <italic>Chloromonas</italic> sp. using a 540 nm green LED at 40 <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on one side of a Petri dish. Three of the species (<italic>S. nivaloides</italic>, <italic>C. hindakii</italic> and <italic>Chloromonas</italic> sp.) did not have a visible eyespot. Despite this, <italic>C. hindakii</italic> still exhibited phototactic behaviour whereas <italic>S. nivaloides</italic> and <italic>Chloromonas</italic> sp. did not. The remaining species had visible eyespots and performed phototaxis. This study brings into question how certain snow species navigate light intensity in snowpacks and how cell-light interactions function without eyespots. In this context, <xref ref-type="bibr" rid="bib1.bibx94" id="text.120"/> described a new species of snow algae in the <italic>Chloromonas</italic> genus, <italic>C. fuhrii</italic>, which among other unique defining characteristics does not have an eyespot (or a stigma as referred to in this study). The two nearest relatives of <italic>C. fuhrii</italic> reported, <italic>C.</italic> cf. <italic>platystigma</italic> and <italic>C. muramotoi</italic> both have eyespots, suggesting that its loss was recent. The authors speculated that the higher frequency of eyespot absence in species such as those from the <italic>Chloromonas</italic> genus which live in snow versus other habitats is potentially due to the dynamic of response to light in snow, suggesting that cells may need to avoid confusing signals from light reflecting from numerous directions off snow crystals. Eyespots are helpful for phototactic precision but have been proven to be unnecessary for phototactic behaviour itself as shown using <italic>Chlamydomonas</italic> mutants with no eyespot <xref ref-type="bibr" rid="bib1.bibx90" id="paren.121"/>.</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e2671">Orientation A: A visualisation of a <italic>Chlamydomonas</italic> sp. cell swimming in a helical motion, oriented in a direction adjacent to a light source. As the cell swims helically <xref ref-type="bibr" rid="bib1.bibx24" id="paren.122"/>, the cell's singular eyespot rotates and perceives a sinusoidally varying light signal. Orientation B: A visualisation of a <italic>Chlamydomonas</italic> sp. cell swimming in a helical motion oriented towards a light source. The cell's singular eyespot experiences continuous, direct exposure to the light source. The time elapsed between orientation A and B is a few seconds <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx45" id="paren.123"/>. The time elapsed between orientation scenario A and B is negligible, otherwise one would see an increase in light intensity. Created in BioRender <xref ref-type="bibr" rid="bib1.bibx30" id="paren.124"/>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f07.png"/>

        </fig>

      <p id="d2e2696"><xref ref-type="bibr" rid="bib1.bibx96" id="text.125"/> documented diurnal vertical migration of motile snow algae in an alpine forest snowpack in northern Japan. Motile algae ascended nearly to the snowpack surface towards nutrients and light in lower light hours and descended 10–20 cm into the snowpack during periods of peak solar radiation (a maximum of <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mn mathvariant="normal">755</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) to avoid its intensity and remain at an optimal position for photosynthesis. Motile microalgal cell density at the surface layer was negatively correlated with solar radiation and air temperature (values ranging from <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">−</mml:mi><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="normal">−</mml:mi></mml:math></inline-formula>0.64, <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>); there was no correlation for non-motile microalgae. Despite solute and nutrient gradients throughout the snowpack, no day–night variation in solute distribution was detected, suggesting that light rather than nutrient availability drove migration. Additionally, algae have been shown to migrate away from predation by sensing infochemicals (kairomones) released from predators <xref ref-type="bibr" rid="bib1.bibx73" id="paren.126"/>. However, in the <xref ref-type="bibr" rid="bib1.bibx96" id="text.127"/> study, tardigrades and rotifers, which are potential snow algae predators, migrated before the snow algae when solar intensity increased, eliminating predator-induced chemotaxis as a potential driver of migration.</p>
      <p id="d2e2761"><xref ref-type="bibr" rid="bib1.bibx54" id="text.128"/> described the effects of solar U.V.-B radiation on photo-orientation and motility in three flagellated species, including the now polyphyletic <italic>Cd. nivalis</italic>. <italic>Cd. nivalis</italic>, in its original growth medium, was exposed to solar radiation in two growth chambers: one with unfiltered sunlight and one with sunlight with U.V.-B cut-off filters and supplemented with ozone. <italic>Cd. nivalis</italic> exhibited high sensitivity to U.V.-B, although it did not demonstrate any clear phototactic orientation under unfiltered sunlight nor any initial positive light-induced swimming speed increase (photokinesis). After exposure, videotracking microscopy was used to quantify deviation from the stimulus direction.  Under unfiltered light, after approximately 70 min of exposure, cell velocity quickly dropped and after approximately 90 min of exposure most cells were non motile. Motility stayed higher at all exposure times under the reduced U.V.-B radiation treatment. Motility increased with increasing filter wavelength, measured with 280, 295, 305 and 320 nm filters. The results suggest that UV-B acts mainly as a physiological stressor limiting motility, rather than a directional cue influencing phototaxis.</p>
      <p id="d2e2775">Algal phototaxis has also been demonstrated using <italic>Cd. reinhardtii</italic> under laboratory conditions in media containing a matrix of spherical obstacles (glass beads) <xref ref-type="bibr" rid="bib1.bibx105" id="paren.129"/>. The experiment, inspired by industrial purpose, attempted to maximise the quantity of microalgae at the medium's surface for ease of harvest. <italic>Cd. reinhardtii</italic> exhibited phototaxis under blue light (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mn mathvariant="normal">150</mml:mn><mml:mtext>–</mml:mtext><mml:mn mathvariant="normal">160</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the researchers were able to maximise algal density by incorporating 425–600<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> beads and a mesh with <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mn mathvariant="normal">350</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> pores within the liquid medium which significantly reduced bioconvective losses. This experiment provides valuable insight into how porous microstructures (as a proxy for snow crystals in snowpacks) can influence algal distribution in response to light gradients.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Chemotaxis</title>
      <p id="d2e2855">Chemotaxis is the directional movement of an organism along a chemical gradient, particularly in a positive direction towards nutrient sources <xref ref-type="bibr" rid="bib1.bibx1" id="paren.130"/> (Fig. <xref ref-type="fig" rid="F8"/>) or in a negative direction away from toxic compounds <xref ref-type="bibr" rid="bib1.bibx154" id="paren.131"/>. Chemotaxis is also demonstrated in mating and predation scenarios <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx73" id="paren.132"/>. Microalgae use receptors in their cell membrane to detect chemical cues, including ions and organic compounds, present in their surrounding environment <xref ref-type="bibr" rid="bib1.bibx5" id="paren.133"/>.</p>

      <fig id="F8"><label>Figure 8</label><caption><p id="d2e2874">A visualisation (not to scale) of snow algae navigating through a subsection of a snowpack with a chemical gradient present, denoted by <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>C</mml:mi></mml:mrow></mml:math></inline-formula>, caused by a source at the top of the snowpack, exhibiting positive chemotaxis as they swim towards the nutrient source in the direction of the gradient's increase. Created in BioRender <xref ref-type="bibr" rid="bib1.bibx31" id="paren.134"/>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f08.png"/>

        </fig>

      <p id="d2e2896">Snow algae inhabit snowpacks which are classified as oligotrophic environments where essential nutrients are often scarce and unevenly distributed <xref ref-type="bibr" rid="bib1.bibx81" id="paren.135"/>. Since nutrients such as nitrogen and phosphorus are required for algal growth and metabolism <xref ref-type="bibr" rid="bib1.bibx133" id="paren.136"/>, their spatial distribution may influence the movement of motile snow algal cells. Chemotaxis therefore represents a potential mechanism by which snow algae could respond to localised nutrient gradients.</p>
      <p id="d2e2906">Phosphorus is a limiting nutrient for the snow alga <italic>C. typhlos</italic>, whereas nitrogen deposition is hypothesized to have a limited effect on bloom occurrence and size <xref ref-type="bibr" rid="bib1.bibx3" id="paren.137"/>. This conclusion is based on a 38 d incubation experiment at <inline-formula><mml:math id="M106" display="inline"><mml:mn mathvariant="normal">4.5</mml:mn></mml:math></inline-formula> °C using 24 nitrogen-to-phosphorus (N : P) treatments representative of nutrient availability in snow. Maximum biomass occurred at N : P molar ratios of 4–7, indicating that phosphorus availability is more important for optimising <italic>C. typhlos</italic> growth, although blooms developed across a wide range of nutrient conditions. Snow algal nutrient preference will vary across species, environment and lifecycle phase. Motile microalgae have been shown to exhibit chemotaxis toward metabolically relevant compounds, such as the movement of <italic>Cd. reinhardtii</italic> towards bicarbonate <xref ref-type="bibr" rid="bib1.bibx21" id="paren.138"/> and ammonium/methylammonium  <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx92" id="paren.139"/> gradients. Such responses suggest that chemical gradients may guide algal movement toward favourable growth conditions. Given the apparent importance of phosphorus for snow algal growth in <italic>C. typhlos</italic>, phosphorus gradients may represent a potential driver of chemotactic behaviour, although this possibility has not yet been directly tested in snow algae.</p>
      <p id="d2e2939">It is also worth noting that snow algae have demonstrated plasticity in response to the nutrient conditions available to them <xref ref-type="bibr" rid="bib1.bibx16" id="paren.140"/>. For example, <xref ref-type="bibr" rid="bib1.bibx16" id="text.141"/> demonstrated considerable stoichiometric plasticity across multiple snow algal strains, with cellular C:N ratios varying substantially under nitrate concentrations representative of natural snowpacks. Despite reduced growth under nutrient-limited conditions, the algae maintained growth across a broad range of nitrate availabilities, suggesting an ability to acclimate to nutrient-poor environments rather than relying solely on movement towards more favourable conditions. This has particular implications for the portion of cells belonging to motile snow algal species which are immobile either temporarily due to lifecycle stage, environmental stressors or other reasons.</p>
      <p id="d2e2948">As mentioned in the phototaxis section, a study by <xref ref-type="bibr" rid="bib1.bibx96" id="text.142"/> described the migration of microalgae within a snowpack on a mountain in Japan in response to solar radiation and nutrients. Motile snow algae were shown to migrate 10–20 cm downwards into the snowpack during times of intense solar radiation, returning nearer to the snowpack surface outside of these periods, presumably to benefit from available nutrients. The upper 23 cm of the snowpack were divided into one <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> cm layer (layer I) and four subsequently deeper <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> cm layers (II, III, IV and V). The upper layers (I–III) were characterised by higher concentrations of bioavailable nutrients such as ammonium (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>), phosphate (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>), and potassium (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>); the surface layer contained the highest proportions of <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (23.5 %), <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (20.8 %), and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (19.8 %). In contrast, deeper layers (IV–V) showed lower concentrations of nutrients which support algal growth, with <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> accounting for more than 60 % of total solutes below 15 cm depth. Meltwater did not redistribute the nutrient ratios with respect to snowpack layers and there was no significant difference between the solute distribution in the daytime (09:00–17:00 Japan Standard Time (JST), UTC<inline-formula><mml:math id="M117" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>9, solar radiation <inline-formula><mml:math id="M118" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 150 W m<sup>−2</sup>) and nighttime <xref ref-type="bibr" rid="bib1.bibx96" id="paren.143"/>. The phenomenon observed in this study reinforces previously documented knowledge that the level of influence of phototaxis exceeds that of chemotaxis, but in the absence of solar radiation chemotaxis allows for vital nutrient uptake.</p>
      <p id="d2e3111"><italic>Cd. reinhardtii</italic> has been shown to exhibit chemotaxis toward ammonium in vitro <xref ref-type="bibr" rid="bib1.bibx92" id="paren.144"/>. In a Petri dish assay containing two agarose blocks, a <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">mM</mml:mi></mml:mrow></mml:math></inline-formula> sink and a <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">mM</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula> source, cells migrated toward the ammonium enriched block within three hours, demonstrating chemotactic movement along the nutrient gradient. Using a wild-type strain (typical form of the species) the authors demonstrated enhanced chemotactic responses under light exposure; curiously, two phototaxis-incompetent mutant strains (<italic>eye3-2</italic> and <italic>ptx1</italic>) still exhibited normal chemotaxis, showing that at least in this genus, chemotaxis and phototaxis pathways are independent. The lengthscale of the chemical gradient <inline-formula><mml:math id="M122" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula> in these and other lab-based studies was <inline-formula><mml:math id="M123" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1–10 mm, while in the field study of <xref ref-type="bibr" rid="bib1.bibx96" id="text.145"/>, it was <inline-formula><mml:math id="M124" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 cm. Chemotactic sensing on the scale of a snowpack depth may not be possible if <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mo>≫</mml:mo><mml:mi>D</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M126" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> is the diameter of the algae, as the algae need to be able to compare significantly different concentrations as they swim. However, it seems possible that the microalgae will be able to chemotax up or down local gradients with smaller lengthscales, as depicted in Fig. <xref ref-type="fig" rid="F8"/>.</p>
      <p id="d2e3202">Another instance of chemotactic behaviour in the <italic>Chlamydomonas</italic> genus is the detection and migration of opposite mating type gametes (mt<inline-formula><mml:math id="M127" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>, mt<inline-formula><mml:math id="M128" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>) in  <italic>Cd. allensowrthii</italic> which is driven by gradients of sexual pheromones. Gametes are haploid cells specialised for sexual reproduction which fuse to form a zygote, and in this species both mating types are motile; however, only the mt<inline-formula><mml:math id="M129" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> gametes (ancestral male) exhibit chemotactic behaviour towards the mt<inline-formula><mml:math id="M130" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (ancestral female). The ability to detect the pheromone is growth stage specific, with vegetative cells being unstimulated and gametes only becoming chemotactic after gametogenesis (i.e. the process by which vegetative cells develop into reproductive gamete cells) <xref ref-type="bibr" rid="bib1.bibx49" id="paren.146"/>. Sexual reproduction can facilitate genetic diversity and adaptability under certain environmental conditions <xref ref-type="bibr" rid="bib1.bibx2" id="paren.147"/>. Chemotaxis may therefore play an important role in snow algae life histories under conditions including high solar radiation, temperature extremes, and low nutrient availability.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Gravitaxis</title>
      <p id="d2e3254">Gravitaxis (also referred to as geotaxis) is a direct response to gravity resulting in either the upward (negative gravitaxis) or downward (positive gravitaxis) orientation of a motile cell <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx102 bib1.bibx65" id="paren.148"/>. The mechanism driving gravitaxis has long been debated, with evidence supporting both passive physical processes <xref ref-type="bibr" rid="bib1.bibx69" id="paren.149"/> and active physiological sensing <xref ref-type="bibr" rid="bib1.bibx56" id="paren.150"/>. Biological responses which can govern gravitaxis include the activation of a gravity “sensor” like the use of mechanosensitive channels which intake chemicals at certain locations in the cell body <xref ref-type="bibr" rid="bib1.bibx55" id="paren.151"/> or sedimenting statoliths, of which most protists do not utilise in their gravity orientations due to their small sizes <xref ref-type="bibr" rid="bib1.bibx53" id="paren.152"/>. The earliest passive explanation, the “bottom-heavy” hypothesis, posits that an asymmetrical mass distribution causes the cell to orient itself upwards like a buoy, an idea first suggested by <xref ref-type="bibr" rid="bib1.bibx144" id="text.153"/> and later modelled mathematically by <xref ref-type="bibr" rid="bib1.bibx69" id="text.154"/>. An alternative passive model proposes that a cell's geometry (cell body plus flagella) leads to reorientation through a process of “differential sedimentation” where differences in gravitational settling rates between the cell body and flagella, generate a torque that reorients the cell <xref ref-type="bibr" rid="bib1.bibx99 bib1.bibx117" id="paren.155"/>.</p>
      <p id="d2e3282">In the passive framework, a bottom-heavy cell is reoriented by a combination of a gravitational torque, <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">T</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, due to gravity and a viscous torque, <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">T</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, corresponding to resistance to rotation by the viscous fluid, see Fig. <xref ref-type="fig" rid="F9"/>. At low Reynolds numbers inertia is negligible and the net torque on the body must be zero. As shown in <xref ref-type="bibr" rid="bib1.bibx102" id="text.156"/>, this implies that the cell orientation <inline-formula><mml:math id="M133" display="inline"><mml:mi mathvariant="bold-italic">p</mml:mi></mml:math></inline-formula> reorients according to

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M134" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>B</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo mathsize="1.1em">[</mml:mo><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo mathsize="1.1em">]</mml:mo></mml:mrow></mml:math></disp-formula>

          where, as previously, <inline-formula><mml:math id="M135" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> represents the characteristic reorientation time due to graviatxis and <inline-formula><mml:math id="M136" display="inline"><mml:mi mathvariant="bold-italic">k</mml:mi></mml:math></inline-formula> is a unit vector pointing upwards. To get an idea of how this equation allows to predict the gravitactic reorientation, we shall derive a simpler two-dimensional version. In this case, <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>,</mml:mo><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> is the angle measured from the upwards unit vector <inline-formula><mml:math id="M140" display="inline"><mml:mi mathvariant="bold-italic">k</mml:mi></mml:math></inline-formula> as shown in Fig. <xref ref-type="fig" rid="F9"/>. Thus, substituting <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="bold-italic">p</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="bold-italic">k</mml:mi></mml:math></inline-formula> into Eq. (<xref ref-type="disp-formula" rid="Ch1.E7"/>) and noting <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>=</mml:mo><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:math></inline-formula>, we obtain

            <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M144" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>B</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo mathsize="1.1em">[</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>,</mml:mo><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo><mml:mo mathsize="1.1em">]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>B</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msup><mml:mi>sin⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          Then, differentiating <inline-formula><mml:math id="M145" display="inline"><mml:mi mathvariant="bold-italic">p</mml:mi></mml:math></inline-formula> with respect to <inline-formula><mml:math id="M146" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>:

            <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M147" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          Equating components of Eqs. (<xref ref-type="disp-formula" rid="Ch1.E8"/>) and (<xref ref-type="disp-formula" rid="Ch1.E9"/>), gives the equation for the change in orientation angle due to gravitaxis:

            <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M148" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>B</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          We can solve this equation for the orientation to the vertical of a gravitactic swimmer in 2D. The equilibrium orientation, <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">eq</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, occurs when <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, that is when <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mi>sin⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">eq</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>⇒</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">eq</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, the vertical upwards direction. We note that this passive model is deterministic, i.e. it does not account for random reorientaion of gravitactic swimmers, which can be modelled in three-dimensions by a rotational noise term, as in Eq. (<xref ref-type="disp-formula" rid="Ch1.E6"/>).</p>

      <fig id="F9"><label>Figure 9</label><caption><p id="d2e3816">Visualisation of change in orientation of a <italic>Chlamydomonas</italic> sp. cell due to gravitaxis and gyrotaxis. The diagram on the left represents pure gravitaxis: the cell body is reoriented by a torque <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">T</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> due to gravity and a resistive viscous torque <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">T</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M154" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> represents the characteristic reorientation time scale due to graviatxis, <inline-formula><mml:math id="M155" display="inline"><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula> is a unit vector pointing in the direction of the cell's current orientation, <inline-formula><mml:math id="M156" display="inline"><mml:mi mathvariant="bold-italic">k</mml:mi></mml:math></inline-formula> is the vertical unit vector defining the preferred upward direction for negative gravitaxis by convention, corresponding in two dimensions to <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. The diagram on the right represents gyrotaxis. Here the viscous torque also includes rotation by a shear flow with vorticity <inline-formula><mml:math id="M158" display="inline"><mml:mi mathvariant="bold-italic">ω</mml:mi></mml:math></inline-formula>. As described in the main text, in two dimensions the preferred orientation with gyrotaxis is <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, that is the cell is oriented at an angle to the vertical. Created in BioRender <xref ref-type="bibr" rid="bib1.bibx32" id="paren.157"/>.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f09.png"/>

        </fig>

      <p id="d2e3914">It is still debated whether active or passive mechanisms are primarily responsible for gravitaxis in microalgae, appearing to be genera/species dependent as well as dependent on factors such as stress and age <xref ref-type="bibr" rid="bib1.bibx56" id="paren.158"/>. <xref ref-type="bibr" rid="bib1.bibx68" id="text.159"/> examined gravitactic behaviour in <italic>Cd. reinhardtii</italic>, testing whether it relies on Ca<sup>2+</sup> dependent pathways for gravitaxis. This was done using gadolinium and diltiazem which use different mechanisms to block a cell's Ca<sup>2+</sup> channels, normally located at the cell's base and used as a mechanism for sensing orientation. It was found that the incorporation of neither chemical impacted <italic>Cd. reinhardtii</italic>'s gravitational orientation, the population while exposed to said inhibitors still moved in a negatively gravitactic motion upwards, although gadolinium and diltiazem were found to reduce swimming speed. The phototaxis mutant <italic>ptx1</italic> which, because of a defect in its flagellar apparatus, cannot reorient phototactically or chemotactically <xref ref-type="bibr" rid="bib1.bibx63" id="paren.160"/> exhibited normal gravitaxis as well. The authors concluded that <italic>Chlamydomonas</italic>'s response to gravity is independent of calcium-mediated biochemical signal transduction and that calcium-mediated gravitaxis originated in an organism more “evolutionarily advanced”.</p>
      <p id="d2e3963">Evidence from mutant studies suggests that gravitaxis in <italic>Cd. reinhardtii</italic> is primarily an active, signal-transduction-driven process <xref ref-type="bibr" rid="bib1.bibx153" id="paren.161"/>. Yoshimura et al. investigated gravitaxis using a range of motility-, phototaxis-, and gravitaxis-related mutants. Mutants that swim only backwards (<italic>mbo1</italic>, <italic>mbo2</italic>) did not exhibit directed movement relative to gravity and instead sank at the same rate as non-motile cells, suggesting that passive factors such as cell density, shape, or random reorientation cannot fully explain gravitactic behaviour. Gravitaxis-deficient mutants (<italic>gtx1</italic>, <italic>gtx2</italic>) displayed normal motility but lacked gravitactic orientation, indicating that cells can swim normally yet fail to respond to gravitational cues. The authors further showed that impaired gravitaxis was associated with defects in membrane excitability, the ability of the cell membrane to undergo electrical changes through ion fluxes that regulate flagellar activity. For example, the phototaxis mutant <italic>ptx3</italic>, which has reduced membrane excitability, exhibited weakened gravitaxis, whereas <italic>ptx1</italic>, defective only in Ca<sup>2+</sup>-dependent flagellar dominance involved in phototaxis, retained normal gravitaxis. Together, these findings suggest that gravitaxis in <italic>Chlamydomonas</italic> relies on active physiological signalling rather than being solely a passive consequence of cell morphology or mass distribution.</p>
      <p id="d2e4006">Predictions derived from continuum and agent-based models which assume passive, torque driven reorientation of microalgae show good qualitative agreement with experimental observations <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx126" id="paren.162"/>. In cases where an alga lacks an active sensing mechanism, passive gravitactic reorientation provides a useful and informed initial approach for studying snow algae.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Gyrotaxis</title>
      <p id="d2e4020">When a microalgal cell is in a fluid flow it experiences a viscous torque caused by viscous drag, which is a drag force experienced by the organism due to the viscosity of the fluid surrounding it. Gyrotaxis refers to when the orientation of swimming microorganisms is governed by such viscous torques in combination with those due to gravity <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx102" id="paren.163"/>.</p>
      <p id="d2e4026">Gyrotactic reorientation can be shown, similarly to the derivation of gravitaxis, to be given by <xref ref-type="bibr" rid="bib1.bibx102" id="paren.164"/>

            <disp-formula id="Ch1.E11" content-type="numbered"><label>11</label><mml:math id="M163" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="bold-italic">p</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>B</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo mathsize="1.1em">[</mml:mo><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">k</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo mathsize="1.1em">]</mml:mo><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mi mathvariant="bold-italic">ω</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M164" display="inline"><mml:mi mathvariant="bold-italic">ω</mml:mi></mml:math></inline-formula> is the flow vorticity. Here for simplicity we neglect the effect of flow strain <xref ref-type="bibr" rid="bib1.bibx102" id="paren.165"/>. To appreciate how Eq. (<xref ref-type="disp-formula" rid="Ch1.E11"/>) predicts gyrotactic cell orientation, we can consider two-dimensional dynamics of a swimmer in a 2D flow with vorticity <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">ω</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M166" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> is the magnitude of the <inline-formula><mml:math id="M167" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>-component of the vorticity. In this case, recalling <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>,</mml:mo><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and noting that <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">ω</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="bold-italic">p</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>(</mml:mo><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, following similar steps as for the derivation of Eq. (<xref ref-type="disp-formula" rid="Ch1.E10"/>), the reorientation rate of a gyrotactic swimmer is given by:

            <disp-formula id="Ch1.E12" content-type="numbered"><label>12</label><mml:math id="M170" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>B</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M171" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> is the orientation angle as measured from the vertical. We note that for gyrotaxis the equilibrium orientation is not necessarily upwards. By setting <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, Eq. (<xref ref-type="disp-formula" rid="Ch1.E12"/>) provides:

            <disp-formula id="Ch1.E13" content-type="numbered"><label>13</label><mml:math id="M173" display="block"><mml:mrow><mml:mi>sin⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">eq</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>B</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          so that <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">eq</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> only in the absence of flow (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>). In general, cells swim at an angle to the vertical (<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">eq</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>). We note that Eq. (<xref ref-type="disp-formula" rid="Ch1.E13"/>) is only satisfied for <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>B</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, outside these bounds, there is no equilibrium and cells will tumble rather that orderly orient <xref ref-type="bibr" rid="bib1.bibx102" id="paren.166"/>. As for our discussion of gravitaxis, we have neglected reorientations due to rotational noise, which we included in Eq. (<xref ref-type="disp-formula" rid="Ch1.E6"/>). When these reorientations are included, gyrotactic cells still swim at an angle to the vertical in a shear flow, but this angle is not the one predicted by Eq. (<xref ref-type="disp-formula" rid="Ch1.E13"/>). The mean orientation can be predicted in 3D by advanced models beyond the scope of this review, see e.g. Fig. 1a, b of <xref ref-type="bibr" rid="bib1.bibx11" id="text.167"/>, which shows the components of the mean orientation of a gyrotactic swimmer.</p>
      <p id="d2e4379">Gyrotactic microorganisms are typically bottom-heavy, meaning their centre of mass lies below their geometric centre due to uneven internal mass distribution. This offset creates a gravitational torque when the cells swim horizontally, leading cells to swim upwards on average and accumulate at the surface of a suspension, leading to Rayleigh-Taylor instabilities when the motile organisms have a higher density than the surrounding media <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx117 bib1.bibx143" id="paren.168"/>.</p>
      <p id="d2e4385"><xref ref-type="bibr" rid="bib1.bibx13" id="text.169"/> investigated gyrotactic behaviour in bioconvective patterns formed by suspensions of the polyphyletic <italic>Cd. nivalis</italic>. To isolate gyrotaxis, phototactic responses were eliminated by illuminating the suspension from below with low-intensity red light, to which this species does not respond <xref ref-type="bibr" rid="bib1.bibx40" id="paren.170"/>. Under these conditions, pattern formation arose from the interaction between gyrotaxis and negative gravitaxis. Bioconvection occurs when biased swimming by motile microorganisms generates unstable cell concentration gradients, producing convective flows and spatial patterning within the suspension <xref ref-type="bibr" rid="bib1.bibx104" id="paren.171"/>, as seen in Fig. <xref ref-type="fig" rid="F10"/>.</p>

      <fig id="F10"><label>Figure 10</label><caption><p id="d2e4404">Bioconvective patterns formed by microalgae. A: model mesophilic model species <italic>Cd. reinhardtii</italic> and B: snow algae <italic>C. typhlos</italic> in Petri dishes illuminated by deep red light (660 nm) to avoid a phototactic response <xref ref-type="bibr" rid="bib1.bibx40" id="paren.172"/>. Both the suspensions were well mixed prior to the spontaneous development of the patterns and had an average concentration <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> cells mL<sup>−1</sup>. Photo credit: Ottavio Croze.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6835/2026/bg-23-6835-2026-f10.png"/>

        </fig>

      <p id="d2e4447">The dynamics of gyrotactic orientation can be described using two key parameters: the cell reorientation time B which represents the characteristic time required for a cell to realign with gravity after being displaced, and the directional correlation time <inline-formula><mml:math id="M180" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, which describes how long a cell maintains its swimming direction before random rotational diffusion causes it to lose memory of its initial orientation. Earlier theoretical work predicted that bioconvective instability occurs when these parameters are <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo>≈</mml:mo></mml:mrow></mml:math></inline-formula> 1.25 s and <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>≈</mml:mo></mml:mrow></mml:math></inline-formula> 5 s <xref ref-type="bibr" rid="bib1.bibx101" id="paren.173"/>. The experimental Rayleigh numbers generated in the <xref ref-type="bibr" rid="bib1.bibx13" id="text.174"/> study exceeded the critical threshold for instability predicted using these parameters. The results therefore provided experimental support for theoretical models of gyrotactic bioconvection, demonstrating that gyrotaxis alone can generate the regular, periodic bioconvective plumes observed <xref ref-type="bibr" rid="bib1.bibx13" id="paren.175"/>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e4490">The specifications, optimal temperatures (for maximum swimming speed), the maximum speed and phototactic behaviour of select psychrophilic, psychrotolerant and mesophilic microalgae species. The microalgae were observed on a Peltier cooled microscope stage. Adapted from <xref ref-type="bibr" rid="bib1.bibx27" id="text.176"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Algae</oasis:entry>
         <oasis:entry colname="col2">Thermal Preference</oasis:entry>
         <oasis:entry colname="col3">Source</oasis:entry>
         <oasis:entry colname="col4">Optimal Temperature</oasis:entry>
         <oasis:entry colname="col5">Maximum Speed</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(°C)</oasis:entry>
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m s<sup>−1</sup>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Cd. reinhardtii</italic></oasis:entry>
         <oasis:entry colname="col2">Mesophilic</oasis:entry>
         <oasis:entry colname="col3">MA (USA)</oasis:entry>
         <oasis:entry colname="col4">27.6</oasis:entry>
         <oasis:entry colname="col5">67.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>C. reticulata</italic></oasis:entry>
         <oasis:entry colname="col2">Psychrotolerant</oasis:entry>
         <oasis:entry colname="col3">Nordland (Norway)</oasis:entry>
         <oasis:entry colname="col4">23.0</oasis:entry>
         <oasis:entry colname="col5">88.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Chlorococcum</italic> sp.</oasis:entry>
         <oasis:entry colname="col2">Psychrotolerant</oasis:entry>
         <oasis:entry colname="col3">Nordland (Norway)</oasis:entry>
         <oasis:entry colname="col4">23.3</oasis:entry>
         <oasis:entry colname="col5">133.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>L. spitsbergensis</italic></oasis:entry>
         <oasis:entry colname="col2">Psychrophilic</oasis:entry>
         <oasis:entry colname="col3">Spitsbergen (Svalbard)</oasis:entry>
         <oasis:entry colname="col4">4.9</oasis:entry>
         <oasis:entry colname="col5">50.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Chloromonas</italic> sp.</oasis:entry>
         <oasis:entry colname="col2">Psychrophilic</oasis:entry>
         <oasis:entry colname="col3">Nordland (Norway)</oasis:entry>
         <oasis:entry colname="col4">1.9</oasis:entry>
         <oasis:entry colname="col5">28.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Gloeocystis</italic> sp.</oasis:entry>
         <oasis:entry colname="col2">Psychrophilic</oasis:entry>
         <oasis:entry colname="col3">Nordland (Norway)</oasis:entry>
         <oasis:entry colname="col4">7.1</oasis:entry>
         <oasis:entry colname="col5">59.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>S. nivaloides</italic></oasis:entry>
         <oasis:entry colname="col2">Psychrophilic</oasis:entry>
         <oasis:entry colname="col3">Nordland (Norway)</oasis:entry>
         <oasis:entry colname="col4">3.2</oasis:entry>
         <oasis:entry colname="col5">21.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>C. hindakii</italic></oasis:entry>
         <oasis:entry colname="col2">Psychrophilic</oasis:entry>
         <oasis:entry colname="col3">High Tatras Mountain (Poland)</oasis:entry>
         <oasis:entry colname="col4">2.7</oasis:entry>
         <oasis:entry colname="col5">35.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Chrysophyceae</italic> sp.</oasis:entry>
         <oasis:entry colname="col2">Psychrophilic</oasis:entry>
         <oasis:entry colname="col3">Nordland (Norway)</oasis:entry>
         <oasis:entry colname="col4">9.9</oasis:entry>
         <oasis:entry colname="col5">33.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e4747">In a later study, <xref ref-type="bibr" rid="bib1.bibx150" id="text.177"/> analysed the bioconvection patterns created by the gyrotactic snow algae <italic>Cd. augustae</italic> (previously listed as <italic>Cd. nivalis</italic>) in a well-mixed suspension under varied cell concentration and illumination scenarios. The phototactic, gyrotactic, and gravitactic responses were investigated during these instabilities using Fourier analysis to define pattern wavelength (the spacing between algal plumes in the bioconvective pattern) as a function of both cell concentration and light intensity. One of the experimental designs involved illuminating the algae suspension from above with white light, the most relevant arrangement for snow algae in a snowpack. The bioconvective pattern wavelength changed non-monotonically with light intensity. At low light intensities (645–1330 lux or <inline-formula><mml:math id="M185" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 11–25 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<sup>−2</sup> s<sup>−1</sup>), cells exhibited strong phototaxis, swimming towards the light and reinforcing negative gravitaxis. The combined effect generated large overturning instabilities and broad, long wavelength patterns. Phototaxis weakened as intensity increased (1330–3000 lux or <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula>–56 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The orientational distribution of cells broadened due to weaker phototactic behaviour, making them more susceptible to viscous torques, so gyrotaxis became increasingly influential. Instabilities during this scenario were therefore less dominated by large overturning motion and instead began to show the influence of more localised, short-wavelength plumes. Near the critical intensity (3000 lux or <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">53</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), cells near the top of the suspension exhibited negative phototaxis, swimming away from the intense light. Those lower in the suspension still swam upward as shading reduced the local intensity they experienced, creating a dense cell sublayer within the suspension where photo-gyrotactic instabilities produced small, fine-scale wavelength patterns. Outside of a laboratory environment, mathematical models assuming passive reorientation by gravity, have also made successful predictions for gyrotactic dispersion <xref ref-type="bibr" rid="bib1.bibx25" id="paren.178"/> and photogyrotactic bioconvection patterns <xref ref-type="bibr" rid="bib1.bibx149 bib1.bibx150" id="paren.179"/>.</p>
      <p id="d2e4883">A final observation is that gyrotaxis may play a role in melting snow at the onset of the formation of draining flows through the snow. Cells advected by these downward flows may be gyrotactically focused toward the centre of the flow, where they drift down faster than the mean flow velocity <xref ref-type="bibr" rid="bib1.bibx25" id="paren.180"/>. By this mechanism gyrotaxis may increase the transport of swimming algae to the bottom of the snowpack.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Thermotaxis and temperature sensitivity</title>
      <p id="d2e4898">Thermotaxis is the directional movement of an organism in response to a temperature gradient. Temperature-dependent motility (or thermokinesis) is when a motile cell has an ambient temperature range preference which governs its ability to demonstrate motility. Psychrophilic species of snow algae display maximum swimming speeds at colder temperatures than mesophilic species <xref ref-type="bibr" rid="bib1.bibx27" id="paren.181"/>. To the best of our knowledge, no known studies on the thermotactic behaviour of snow algal species have been published, although limited literature exists on mesophilic species like <italic>Cd. reinhardtii</italic> <xref ref-type="bibr" rid="bib1.bibx125" id="paren.182"/>.</p>
      <p id="d2e4910">Snow algal species are normally classified as psychrophilic, with an optimum growth range of 0–10 °C or psychrotolerant, capable of growing across a broader temperature range of up to <inline-formula><mml:math id="M193" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 °C) <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx46 bib1.bibx62" id="paren.183"/>. <xref ref-type="bibr" rid="bib1.bibx27" id="text.184"/> assessed the motility of six psychrophilic microalgal species/strains, two psychrotolerant and one mesophilic control under varied temperature conditions. The psychrophilic algae in this study included <italic>Limnomonas spitsbergensis</italic>, <italic>Chloromonas</italic> sp., <italic>Gleocystis</italic> sp., <italic>S. nivaloides</italic>, <italic>C. hindakii</italic> and, <italic>Chrysophyceae</italic> sp.. The psychrotolerant/mesophilic algae included <italic>Cd. reinhardtii</italic>, <italic>C. reticulata</italic> and <italic>Chlorococcum</italic> sp. (Table <xref ref-type="table" rid="T1"/>). Strong temperature-dependent motility responses were observed. All psychrophilic microalgae demonstrated an optimal temperature for maximum swimming speed of below <inline-formula><mml:math id="M194" display="inline"><mml:mn mathvariant="normal">10</mml:mn></mml:math></inline-formula> °C and all psychrotolerant and mesophilic algae demonstrated optimal temperatures for maximum swimming speed of above <inline-formula><mml:math id="M195" display="inline"><mml:mn mathvariant="normal">20</mml:mn></mml:math></inline-formula> °C.</p>
      <p id="d2e4971">Additionally, <xref ref-type="bibr" rid="bib1.bibx125" id="text.185"/> observed that the model alga <italic>Cd. reinhardtii</italic> responded to thermal gradients between <inline-formula><mml:math id="M196" display="inline"><mml:mn mathvariant="normal">10</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M197" display="inline"><mml:mn mathvariant="normal">30</mml:mn></mml:math></inline-formula> °, with the microalgae migrating towards lower temperatures regardless of the temperature that they were cultivated at. The thermotactic behaviour was due to membrane excitation and was governed by intracellular redox conditions (i.e. the cell's internal chemical state reflecting the balance of molecules that either gain or lose electrons, influencing stress and signaling pathways). The study showed that <italic>Cd. reinhardtii</italic> uses redox signals to adjust or even shut off its thermotactic behaviour, likely to prioritise other responses (such as phototaxis) when under conditions such as a lack of available nutrients or oxidative stress <xref ref-type="bibr" rid="bib1.bibx125" id="paren.186"/>.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e5011">Recorded observations of snow algae navigating snowpacks in field and laboratory settings, macroscopically and microscopically, are limited in occurrence and understanding. Although the cyclical, seasonal process of snow algae overwintering as cysts and becoming flagellated to access light and nutrients is agreed upon, the interaction with quasi-liquid layers on snow crystals, navigation through meltwater channels, responses to snowpack evolution and behaviour under flow conditions have not been quantitatively documented from a biophysical perspective. There is a large knowledge gap surrounding the tactic behaviour of snow algae species, particularly concerning gyrotaxis and thermotaxis. Literature on phototaxis and chemotaxis largely pertains to genera that include some snow algae species (e.g. <italic>Chloromonas</italic>), rather than psychrophilic species specifically. Further developing equations describing the biomechanics of snow algae motility, informed by experimental results at  single cell and population levels of resolution would enable deeper understanding and improved prediction of snow algal blooms and their drivers. This new knowledge could further the understanding of microswimmer behaviour in active matter physics, aid in the protection of vulnerable habitats and species, improve the accuracy of hydrological and cryospheric models, and contribute to advances in biotechnology and medicine.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e5021">No code was generated or used within this manuscript.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e5027">No data were generated or used within this manuscript.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5033">CSdV: Conceptualisation, Visualisation, Writing – original draft, Writing – review &amp; editing, MJS: Supervision, Writing – review &amp; editing, MPD: Writing – review &amp; editing, GSC: Writing – review &amp; editing, OAC: Conceptualisation, Visualisation, Supervision, Writing – review and editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5039">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e5045">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e5051">The high resolution images of snow algal cells included in this review were taken using the scanning electron microscopy facilities at Newcastle University. Illustration diagrams in this manuscript (Figs. 6, 7, 8 and 9) were created with BioRender.com <xref ref-type="bibr" rid="bib1.bibx29" id="paren.187"/>.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5059">The first author (CSdV) acknowledges funding from the Natural Environment Research Council (NERC) through a UK Research and Innovation (UKRI) Doctoral Training Partnership (NE/S007512/1). The third author (MPD) acknowledges support from a UKRI NERC grant (NE/V000764/1) and from UKRI CCAP facilities under grant (NE/Y006321/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5065">This paper was edited by Susanne Liebner and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Adler et al.(1973)Adler, Hazelbauer, and Dahl</label><mixed-citation>Adler, J., Hazelbauer, G. L., and Dahl, M. M.: Chemotaxis toward sugars in <italic>Escherichia coli</italic>, J. Bacteriol., 115, 824–847, <ext-link xlink:href="https://doi.org/10.1128/jb.115.3.824-847.1973" ext-link-type="DOI">10.1128/jb.115.3.824-847.1973</ext-link>, 1973.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Agrawal(2012)</label><mixed-citation>Agrawal, S. C.: Factors controlling induction of reproduction in algae – review: the text, Folia Microbiol., 57, 387–407, <ext-link xlink:href="https://doi.org/10.1007/s12223-012-0147-0" ext-link-type="DOI">10.1007/s12223-012-0147-0</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Almela et al.(2024)Almela, Elser, Giersch, Hotaling, Rebbeck, and Hamilton</label><mixed-citation>Almela, P., Elser, J. J., Giersch, J. J., Hotaling, S., Rebbeck, V., and Hamilton, T. L.: Laboratory experiments suggest a limited impact of increased nitrogen deposition on snow algae blooms, Env. Microbiol. Rep., 16, e70 052, <ext-link xlink:href="https://doi.org/10.1111/1758-2229.70052" ext-link-type="DOI">10.1111/1758-2229.70052</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Almela et al.(2025)Almela, Elser, Giersch, Hotaling, and Hamilton</label><mixed-citation>Almela, P., Elser, J. J., Giersch, J. J., Hotaling, S., and Hamilton, T. L.: Influence of snow cover on albedo reduction by snow algae, mBio, 16, e03630-24, <ext-link xlink:href="https://doi.org/10.1128/mbio.03630-24" ext-link-type="DOI">10.1128/mbio.03630-24</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Amaral et al.(2023)Amaral, Duci, Cotta, Bacellar, Oliveira, Verret, Asadi, Vandamme, Reis, Bryant, Tosh, Mouget, Perkins, and Rocha</label><mixed-citation>Amaral, R., Duci, D., Cotta, F. C., Bacellar, F. L., Oliveira, S., Verret, F., Asadi, K., Vandamme, L. K., Reis, N. M., Bryant, L. D., Tosh, D., Mouget, J.-L., Perkins, R., and Rocha, P. R.: Ion-driven communication and acclimation strategies in microalgae, Chem. Eng. J., 473, 144985, <ext-link xlink:href="https://doi.org/10.1016/j.cej.2023.144985" ext-link-type="DOI">10.1016/j.cej.2023.144985</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Bar Dolev et al.(2016)Bar Dolev, Braslavsky, and Davies</label><mixed-citation>Bar Dolev, M., Braslavsky, I., and Davies, P. L.: Ice-Binding Proteins and Their Function, Annu. Rev. Biochem., 85, 515–542, <ext-link xlink:href="https://doi.org/10.1146/annurev-biochem-060815-014546" ext-link-type="DOI">10.1146/annurev-biochem-060815-014546</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Baran et al.(2025)Baran, Llombart, and MacDowell</label><mixed-citation>Baran, Ł., Llombart, P., and MacDowell, L. G.: Understanding Interfacial Ice Premelting: Structure, Adhesion, and Nucleation, J, Phys. Chem. C, 129, 4614–4631, <ext-link xlink:href="https://doi.org/10.1021/acs.jpcc.4c07328" ext-link-type="DOI">10.1021/acs.jpcc.4c07328</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Barry et al.(2015)Barry, Rusconi, Guasto, and Stocker</label><mixed-citation>Barry, M. T., Rusconi, R., Guasto, J. S., and Stocker, R.: Shear-induced orientational dynamics and spatial heterogeneity in suspensions of motile phytoplankton, J. Roy. Soc. Interface, 12, 20150791, <ext-link xlink:href="https://doi.org/10.1098/rsif.2015.0791" ext-link-type="DOI">10.1098/rsif.2015.0791</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Barsanti et al.(2025)Barsanti, Birindelli, Di Garbo, and Gualtieri</label><mixed-citation>Barsanti, L., Birindelli, L., Di Garbo, A., and Gualtieri, P.: Bioconvection in microalgae: review of mathematical models, Appl. Sci., 15, 2708, <ext-link xlink:href="https://doi.org/10.3390/app15052708" ext-link-type="DOI">10.3390/app15052708</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Bean(1977)</label><mixed-citation>Bean, B.: Geotactic behavior of <italic>Chlamydomonas</italic>,  J. Protozool., 24, 394–401, <ext-link xlink:href="https://doi.org/10.1111/j.1550-7408.1977.tb04759.x" ext-link-type="DOI">10.1111/j.1550-7408.1977.tb04759.x</ext-link>, 1977.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Bearon et al.(2012)Bearon, Bees, and Croze</label><mixed-citation>Bearon, R. N., Bees, M. A., and Croze, O. A.: Biased swimming cells do not disperse in pipes as tracers: A population model based on microscale behaviour, Phys. Fluids, 24, 121902, <ext-link xlink:href="https://doi.org/10.1063/1.4772189" ext-link-type="DOI">10.1063/1.4772189</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Bechinger et al.(2016)</label><mixed-citation>Bechinger, C., Di Leonardo, R., Löwen, H., Reichhardt, C., Volpe, G., and Volpe, G.: Active particles in complex and crowded environments, Rev. Modern Phys., 88, 045006, <ext-link xlink:href="https://doi.org/10.1103/RevModPhys.88.045006" ext-link-type="DOI">10.1103/RevModPhys.88.045006</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Bees and Hill(1997)</label><mixed-citation>Bees, M. A. and Hill, N. A.: Wavelengths of bioconvection patterns, J. Exp. Biol., 200, 1515–1526, <ext-link xlink:href="https://doi.org/10.1242/jeb.200.10.1515" ext-link-type="DOI">10.1242/jeb.200.10.1515</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Bendix(1960)</label><mixed-citation>Bendix, S. W.: Phototaxis,   Bot. Rev., 26, 145–208, <ext-link xlink:href="https://doi.org/10.1007/BF02860529" ext-link-type="DOI">10.1007/BF02860529</ext-link>, 1960.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Bischoff(2007)</label><mixed-citation>Bischoff, Y.: Diversité et mobilitédes algues de neige dans les Alpes suisses, PhD thesis, Université de Genée, <ext-link xlink:href="https://doi.org/10.13097/ARCHIVE-OUVERTE/UNIGE:516" ext-link-type="DOI">10.13097/ARCHIVE-OUVERTE/UNIGE:516</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Broadwell et al.(2023)Broadwell, Pickford, Perkins, Sgouridis, and Williamson</label><mixed-citation>Broadwell, E. L. M., Pickford, R. E., Perkins, R. G., Sgouridis, F., and Williamson, C. J.: Adaptation versus plastic responses to temperature, light, and nitrate availability in cultured snow algal strains, FEMS Microbiol. Ecol., 99, fiad088, <ext-link xlink:href="https://doi.org/10.1093/femsec/fiad088" ext-link-type="DOI">10.1093/femsec/fiad088</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Brown et al.(2015)Brown, Olson, and Jumpponen</label><mixed-citation>Brown, S. P., Olson, B. J., and Jumpponen, A.: Fungi and algae co-occur in snow: an issue of shared habitat or algal facilitation of heterotrophs?, Arct. Antarct. Alp. Res., 47, 729–749, <ext-link xlink:href="https://doi.org/10.1657/AAAR0014-071" ext-link-type="DOI">10.1657/AAAR0014-071</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Brzoska et al.(1998)Brzoska, ColÃ©ou, and Lesaffre</label><mixed-citation>Brzoska, J.-B., Coléou, C., and Lesaffre, B.: Thin-sectioning of wet snow after flash-freezing, J. Glaciol., 44, 54–62, <ext-link xlink:href="https://doi.org/10.3189/S0022143000002343" ext-link-type="DOI">10.3189/S0022143000002343</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Cheloni and Slaveykova(2018)</label><mixed-citation>Cheloni, G. and Slaveykova, V.: Photo-Oxidative Stress in Green Algae and Cyanobacteria, Reactive Oxygen Species, <uri>https://archive-ouverte.unige.ch/unige:102840</uri> (last access: 24 September 2026), 2018.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Chen et al.(2015)Chen, Heymann, Fraden, Nicastro, and Dogic</label><mixed-citation>Chen, D., Heymann, M., Fraden, S., Nicastro, D., and Dogic, Z.: ATP consumption of eukaryotic flagella measured at a single-cell level, Biophys. J., 109, 2562–2573, <ext-link xlink:href="https://doi.org/10.1016/j.bpj.2015.11.003" ext-link-type="DOI">10.1016/j.bpj.2015.11.003</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Choi et al.(2016)Choi, Kim, Kwak, Sung, and Sim</label><mixed-citation>Choi, H. I., Kim, J. Y. H., Kwak, H. S., Sung, Y. J., and Sim, S. J.: Quantitative analysis of the chemotaxis of a green alga, <italic>Chlamydomonas reinhardtii</italic>, to bicarbonate using diffusion-based microfluidic device, Biomicrofluidics, 10, 014121, <ext-link xlink:href="https://doi.org/10.1063/1.4942756" ext-link-type="DOI">10.1063/1.4942756</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Choudhary et al.(2025)Choudhary, Ma, Baskaran, and Sharma</label><mixed-citation>Choudhary, S. K., Ma, Y., Baskaran, A., and Sharma, P.: Transient state dynamics of <italic>Chlamydomonas reinhardtii</italic> cells during phototaxis, Phys. Rev. Res., 7, 033282, <ext-link xlink:href="https://doi.org/10.1103/l53n-2kg1" ext-link-type="DOI">10.1103/l53n-2kg1</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Coléou et al.(1999)</label><mixed-citation>Coléou, C., Xu, K., Lesaffre, B., and Brzoska, J.-B.: Capillary rise in snow, Hydrol. Process., 13, 1721–1732, <ext-link xlink:href="https://doi.org/10.1002/(SICI)1099-1085(199909)13:12/13&lt;1721::AID-HYP852&gt;3.0.CO;2-D" ext-link-type="DOI">10.1002/(SICI)1099-1085(199909)13:12/13&lt;1721::AID-HYP852&gt;3.0.CO;2-D</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Cortese and Wan(2021)</label><mixed-citation>Cortese, D. and Wan, K. Y.: Control of Helical Navigation by Three-Dimensional Flagellar Beating, Phys. Rev. Lett., 126, 088003, <ext-link xlink:href="https://doi.org/10.1103/PhysRevLett.126.088003" ext-link-type="DOI">10.1103/PhysRevLett.126.088003</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Croze et al.(2017)Croze, Bearon, and Bees</label><mixed-citation>Croze, O. A., Bearon, R. N., and Bees, M. A.: Gyrotactic swimmer dispersion in pipe flow: testing the theory, J. Fluid Mech., 816, 481–506, <ext-link xlink:href="https://doi.org/10.1017/jfm.2017.90" ext-link-type="DOI">10.1017/jfm.2017.90</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Davey et al.(2019)</label><mixed-citation>Davey, M. P., Norman, L., Sterk, P.,  Huete-Ortega, M., Bunbury, F., Loh, B. K. W., Stockton, S., Peck, L. S., Convey, P., Newsham, K. K., and Smith, A. G.: Snow algae communities in Antarctica: metabolic and taxonomic composition, New Phytol., 222, 1242–1255, <ext-link xlink:href="https://doi.org/10.1111/nph.15701" ext-link-type="DOI">10.1111/nph.15701</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Détain et al.(2025)</label><mixed-citation>Détain, A., Suzuki, H., Wijffels, R. H., Leborgne-Castel, N., and Hulatt, C. J.: Snow algae exhibit diverse motile behaviors and thermal responses, mBio,  e02954-24, <ext-link xlink:href="https://doi.org/10.1128/mbio.02954-24" ext-link-type="DOI">10.1128/mbio.02954-24</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>De Vrese et al.(2021)De Vrese, Stacke, Caves Rugenstein, Goodman, and Brovkin</label><mixed-citation>De Vrese, P., Stacke, T., Caves Rugenstein, J., Goodman, J., and Brovkin, V.: Snowfall-albedo feedbacks could have led to deglaciation of snowball Earth starting from mid-latitudes, Commun. Earth Environ., 2, 91, <ext-link xlink:href="https://doi.org/10.1038/s43247-021-00160-4" ext-link-type="DOI">10.1038/s43247-021-00160-4</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>de Vries et al.(2026a)</label><mixed-citation>de Vries,  C. S.: A diagram of water channels within a snowpack, where L1 <inline-formula><mml:math id="M198" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> L2. Water flowing in the narrower channel (L1) has a shorter viscous diffusion timescale than water flowing in the wider channel (L2), <uri>https://BioRender.com/1oc2605</uri> (last access: 5 August 2026), 2026a.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>de Vries et al.(2026b)</label><mixed-citation>de Vries,  C. S.: Orientation A: A visualisation of a Chlamydomonas sp. cell swimming in a helical motion, oriented in a direction adjacent to a light source. As the cell swims helically (Cortese and Wan, 2021), the cell’s singular eyespot rotates and perceives a sinusoidally varying light signal. Orientation B: A visualisation of a Chlamydomonas sp. cell swimming in a helical motion oriented towards a light source. The cell’s singular eyespot experiences continuous, direct exposure to the light source. The time elapsed between orientation A and B is a few seconds (Choudhary et al., 2025; Goldstein, 2015). The time elapsed between orientation scenario A and B is negligible, otherwise one would see an increase in light intensity, <uri>https://BioRender.com/r06ua93</uri> (last access: 5 August 2026), 2026b.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>de Vries et al.(2026c)</label><mixed-citation>de Vries,  C. S.: A visualisation (not to scale) of snow algae navigating through a subsection of a snowpack with a chemical gradient present, denoted by ∇C, caused by a source at the top of the snowpack, exhibiting positive chemotaxis as they swim towards the nutrient source in the direction of the gradient’s increase, <uri>https://BioRender.com/inc0hfl</uri> (last access: 5 August 2026), 2026c.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>de Vries et al.(2026d)</label><mixed-citation>de Vries,  C. S.: A two-dimensional (for simplicity) visualisation of change in orientation of a Chlamydomonas sp. cell due to gravitaxis and flow of surrounding medium. The diagram on the left represents pure gravitaxis: the cell body is reoriented by a torque Tg due to gravity and a resistive viscous torque Tv. B represents the characteristic reorientation time scale due to graviatxis, <sup>∧</sup>p is a unit vector pointing in the direction of the cell’s current orientation, k is the vertical unit vector defining the preferred upward direction for negative gravitaxis by convention, corresponding in 2D to <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. The diagram on the right represents gyrotaxis. Here the viscous torque also includes rotation by a shear flow with vorticity <inline-formula><mml:math id="M201" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>. The prefereed orientation is now at an angle, <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:math></inline-formula>c, to the vertical, <uri>https://BioRender.com/duylke2</uri> (last access: 5 August 2026), 2026d.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Desai and Ardekani(2017)</label><mixed-citation>Desai, N. and Ardekani, A. M.: Modeling of active swimmer suspensions and their interactions with the environment, Soft Matter, 13, 6033–6050, <ext-link xlink:href="https://doi.org/10.1039/C7SM00766C" ext-link-type="DOI">10.1039/C7SM00766C</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Duval et al.(1999)Duval, Shetty, and Thomas</label><mixed-citation>Duval, B., Shetty, K., and Thomas, W. H.: Phenolic compounds and antioxidant properties in the snow alga <italic>Chlamydomonas nivalis</italic> after exposure to UV light, J. Appl. Phycol., 11, 559–566, <ext-link xlink:href="https://doi.org/10.1023/A:1008178208949" ext-link-type="DOI">10.1023/A:1008178208949</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Ebbens and Gregory(2018)</label><mixed-citation>Ebbens, S. J. and Gregory, D. A.: Catalytic janus colloids: controlling trajectories of chemical microswimmers, Accounts Chem. Res., 51, 1931–1939, <ext-link xlink:href="https://doi.org/10.1021/acs.accounts.8b00243" ext-link-type="DOI">10.1021/acs.accounts.8b00243</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Elgeti et al.(2015)Elgeti, Winkler, and Gompper</label><mixed-citation>Elgeti, J., Winkler, R. G., and Gompper, G.: Physics of microswimmers – single particle motion and collective behavior: A review, Rep. Prog. Phys., 78, 056601, <ext-link xlink:href="https://doi.org/10.1088/0034-4885/78/5/056601" ext-link-type="DOI">10.1088/0034-4885/78/5/056601</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Engstrom et al.(2024)Engstrom, Raymond, Albeitshawish, Bogdanovic, and Quarmby</label><mixed-citation>Engstrom, C. B., Raymond, B. B., Albeitshawish, J., Bogdanovic, A., and Quarmby, L. M.: <italic>Rosetta</italic> gen. nov. (<italic>Chlorophyta</italic>): Resolving the identity of red snow algal rosettes, J. Phycol., 60, 275–298, <ext-link xlink:href="https://doi.org/10.1111/jpy.13438" ext-link-type="DOI">10.1111/jpy.13438</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Ermilova et al.(2007)</label><mixed-citation>Ermilova, E. V., Nikitin, M. M., and Fernández, E.: Chemotaxis to ammonium/methylammonium in Chlamydomonas reinhardtii: the role of transport systems for ammonium/methylammonium, Planta, 226, 1323–1332, <ext-link xlink:href="https://doi.org/10.1007/s00425-007-0568-1" ext-link-type="DOI">10.1007/s00425-007-0568-1</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Ezzedine et al.(2023)</label><mixed-citation>Ezzedine, J. A., Uwizeye, C., Si Larbi, G., Villain, G., Louwagie, M., Schilling, M., Hagenmuller, P., Gallet, B., Stewart, A., Petroutsos, D., Devime, F., Salze, P., Liger, L., Jouhet, J., Dumont, M., Ravanel, S., Amato, A., Valay, J.-G., Jouneau, P.-H., Falconet, D., and Maréchal, E.: Adaptive traits of cysts of the snow alga <italic>Sanguina nivaloides</italic> unveiled by 3D subcellular imaging, Nat. Commun., 14, 7500, <ext-link xlink:href="https://doi.org/10.1038/s41467-023-43030-7" ext-link-type="DOI">10.1038/s41467-023-43030-7</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Foster and Smyth(1980)</label><mixed-citation>Foster, K. W. and Smyth, R. D.: Light antennas in phototactic algae, Microbiol. Rev., 44, 572–630, <ext-link xlink:href="https://doi.org/10.1128/mr.44.4.572-630.1980" ext-link-type="DOI">10.1128/mr.44.4.572-630.1980</ext-link>, 1980.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Freund et al.(2012)Freund, Goetz, Hill, and Vermot</label><mixed-citation>Freund, J. B., Goetz, J. G., Hill, K. L., and Vermot, J.: Fluid flows and forces in development: functions, features and biophysical principles, Development, 139, 1229–1245, <ext-link xlink:href="https://doi.org/10.1242/dev.073593" ext-link-type="DOI">10.1242/dev.073593</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Gálvez et al.(2021)</label><mixed-citation>Gálvez, F. E., Saldarriaga-Córdoba, M., Huovinen, P., Silva, A. X., and Gómez, I.: Revealing the characteristics of the Antarctic snow alga <italic>Chlorominima collina</italic> gen. et sp. nov. through taxonomy, physiology, and transcriptomics, Front. Plant Sci., 12, 662298, <ext-link xlink:href="https://doi.org/10.3389/fpls.2021.662298" ext-link-type="DOI">10.3389/fpls.2021.662298</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Ganey et al.(2017)Ganey, Loso, Burgess, and Dial</label><mixed-citation>Ganey, G. Q., Loso, M. G., Burgess, A. B., and Dial, R. J.: The role of microbes in snowmelt and radiative forcing on an Alaskan icefield, Nat. Geosci., 10, 754–759, <ext-link xlink:href="https://doi.org/10.1038/ngeo3027" ext-link-type="DOI">10.1038/ngeo3027</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Ganguly et al.(2023)Ganguly, Alessio, and Gupta</label><mixed-citation>Ganguly, A., Alessio, B. M., and Gupta, A.: Diffusiophoresis: a novel transport mechanism – fundamentals, applications, and future opportunities, Frontiers in Sensors, 4, 1322906, <ext-link xlink:href="https://doi.org/10.3389/fsens.2023.1322906" ext-link-type="DOI">10.3389/fsens.2023.1322906</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Goldstein(2015)</label><mixed-citation>Goldstein, R. E.: Green algae as model organisms for biological fluid dynamics, Annu. Rev. Fluid Mech., 47, 343–375, <ext-link xlink:href="https://doi.org/10.1146/annurev-fluid-010313-141426" ext-link-type="DOI">10.1146/annurev-fluid-010313-141426</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Gonzalez et al.(2026)Gonzalez, Grigg, Thomas, Thomson, MacPherson, Dillon, Gober, Smith, Cockell, Convey, and Davey</label><mixed-citation>Gonzalez, C. R., Grigg, V., Thomas, N., Thomson, A. I., MacPherson, E., Dillon, L., Gober, E., Smith, A. G., Cockell, C., Convey, P., and Davey, M. P.: Antarctic snow algal responses to temperature – potential implications of climate change, Sustainable Microbiology, 3, qvag023, <ext-link xlink:href="https://doi.org/10.1093/sumbio/qvag023" ext-link-type="DOI">10.1093/sumbio/qvag023</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Wakahama(1968)</label><mixed-citation>Wakahama, G.: The metamorphism of wet snow, in: General Assembly of Bern 1967 – Snow and Ice, vol. 79 of International Association of Scientific Hydrology Publication,  370–379, <uri>https://iahs.info/uploads/dms/079035.pdf</uri> (last access: 24 September 2026), 1968.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Gorton et al.(2007)Gorton, Williams, and Vogelmann</label><mixed-citation>Gorton, H. L., Williams, W. E., and Vogelmann, T. C.: The Light Environment and Cellular Optics of the Snow Alga Chlamydomonas nivalis (Bauer) Wille, Photochem. Photobiol., 73, 611–620, <ext-link xlink:href="https://doi.org/10.1562/0031-8655(2001)0730611TLEACO2.0.CO2" ext-link-type="DOI">10.1562/0031-8655(2001)0730611TLEACO2.0.CO2</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Govorunova and Sineshchekov(2005)</label><mixed-citation>Govorunova, E. G. and Sineshchekov, O. A.: Chemotaxis in the green flagellate alga <italic>Chlamydomonas</italic>, Biochemistry (Moscow), 70, 717–725, <ext-link xlink:href="https://doi.org/10.1007/s10541-005-0176-2" ext-link-type="DOI">10.1007/s10541-005-0176-2</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Gray et al.(2020)Gray, Krolikowski, Fretwell, Convey, Peck, Mendelova, Smith, and Davey</label><mixed-citation>Gray, A., Krolikowski, M., Fretwell, P., Convey, P., Peck, L. S., Mendelova, M., Smith, A. G., and Davey, M. P.: Remote sensing reveals Antarctic green snow algae as important terrestrial carbon sink, Nat. Commun., 11, 2527, <ext-link xlink:href="https://doi.org/10.1038/s41467-020-16018-w" ext-link-type="DOI">10.1038/s41467-020-16018-w</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Grinde(1983)</label><mixed-citation>Grinde, B.: Vertical distribution of the snow alga <italic>Chlamydomonas nivalis</italic> (<italic>Chlorophyta</italic>, <italic>Volvocales</italic>), Polar Biol., 2, 159–162, <ext-link xlink:href="https://doi.org/10.1007/BF00448965" ext-link-type="DOI">10.1007/BF00448965</ext-link>, 1983.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Guasto et al.(2010)Guasto, Johnson, and Gollub</label><mixed-citation>Guasto, J. S., Johnson, K. A., and Gollub, J. P.: Measuring Oscillatory Velocity Fields Due to Swimming Algae, arXiv [preprint], <ext-link xlink:href="https://doi.org/10.48550/arxiv.1010.1787" ext-link-type="DOI">10.48550/arxiv.1010.1787</ext-link>,   2010.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Häder and Hemmersbach(2018)</label><mixed-citation>Häder, D.-P. and Hemmersbach, R.: Gravitaxis in flagellates and ciliates, in: Gravitational Biology I,  Springer International Publishing, Cham, 27–45, ISBN 978-3-319-93893-6 978-3-319-93894-3, <ext-link xlink:href="https://doi.org/10.1007/978-3-319-93894-3_3" ext-link-type="DOI">10.1007/978-3-319-93894-3_3</ext-link>,   2018.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Häder and Häder(1989)</label><mixed-citation>Häder, D.-P. and Häder, M. A.: Effects of solar u.v.-B irradiation on photomovement and motility in photosynthetic and colorless flagellates, Environ. Exp. Bot., 29, 273–282, <ext-link xlink:href="https://doi.org/10.1016/0098-8472(89)90059-2" ext-link-type="DOI">10.1016/0098-8472(89)90059-2</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Häder and Lebert(2001)</label><mixed-citation>Häder, D.-P. and Lebert, M.: Graviperception and gravitaxis in algae, Adv. Space Res., 27, 861–870, <ext-link xlink:href="https://doi.org/10.1016/S0273-1177(01)00149-1" ext-link-type="DOI">10.1016/S0273-1177(01)00149-1</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>Häder et al.(2017)</label><mixed-citation>Häder, D.-P., Braun, M., Grimm, D., and Hemmersbach, R.: Gravireceptors in eukaryotes – a comparison of case studies on the cellular level, npj Microgravity, 3, 13, <ext-link xlink:href="https://doi.org/10.1038/s41526-017-0018-8" ext-link-type="DOI">10.1038/s41526-017-0018-8</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Hill and Häder(1997)</label><mixed-citation>Hill, N. and Häder, D.-P.: A biased random walk model for the trajectories of swimming micro-organisms, J. Theor. Biol., 186, 503–526, <ext-link xlink:href="https://doi.org/10.1006/jtbi.1997.0421" ext-link-type="DOI">10.1006/jtbi.1997.0421</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Hoham(1975)</label><mixed-citation>Hoham, R. W.: Optimum Temperatures and Temperature Ranges for Growth of Snow Algae, Arct. Alp. Res., 7, 13–24, <ext-link xlink:href="https://doi.org/10.1080/00040851.1975.12003805" ext-link-type="DOI">10.1080/00040851.1975.12003805</ext-link>, 1975.</mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Hoham and Duval(2001)</label><mixed-citation> Hoham, R. W. and Duval, B.: Snow ecology: an interdisciplinary examination of snow-covered ecosystems, in: Snow Ecology: An Interdisciplinary Examination of Snow-Covered Ecosystems,  Cambridge University Press, Cambridge, 168–228,  ISBN13: 9780521188890, ISBN10: 052118889X, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>Hoham and Ling(2000)</label><mixed-citation>Hoham, R. W. and Ling, H. U.: Snow Algae: The Effects of Chemical and Physical Factors on Their Life Cycles and Populations, in: Journey to Diverse Microbial Worlds, edited by Seckbach, J., Springer Netherlands, Dordrecht, 131–145, ISBN 978-94-010-5850-6 978-94-011-4269-4, <ext-link xlink:href="https://doi.org/10.1007/978-94-011-4269-4_10" ext-link-type="DOI">10.1007/978-94-011-4269-4_10</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Hoham and Mullet(1977)</label><mixed-citation>Hoham, R. W. and Mullet, J. E.: The life history and ecology of the snow alga Chloromonas cryophila sp. nov. (Chlorophyta, Volvocales), Phycologia, 16, 53–68, <ext-link xlink:href="https://doi.org/10.2216/i0031-8884-16-1-53.1" ext-link-type="DOI">10.2216/i0031-8884-16-1-53.1</ext-link>, 1977.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>Hoham and Remias(2020)</label><mixed-citation>Hoham, R. W. and Remias, D.: Snow and glacial algae: A review, J. Phycol., 56, 264–282, <ext-link xlink:href="https://doi.org/10.1111/jpy.12952" ext-link-type="DOI">10.1111/jpy.12952</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>Horst and Witman(1993)</label><mixed-citation>Horst, C. J. and Witman, G. B.: ptx1, a nonphototactic mutant of <italic>Chlamydomonas</italic>, lacks control of flagellar dominance,   J. Cell Biol., 120, 733–741, <ext-link xlink:href="https://doi.org/10.1083/jcb.120.3.733" ext-link-type="DOI">10.1083/jcb.120.3.733</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx64"><label>Hulatt et al.(2017)Hulatt, Berecz, Egeland, Wijffels, and Kiron</label><mixed-citation>Hulatt, C. J., Berecz, O., Egeland, E. S., Wijffels, R. H., and Kiron, V.: Corrigendum to “polar snow algae as a valuable source of lipids?”, Bioresource Technol., 241, 1208, <ext-link xlink:href="https://doi.org/10.1016/j.biortech.2017.06.119" ext-link-type="DOI">10.1016/j.biortech.2017.06.119</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx65"><label>Ishikawa et al.(2025)Ishikawa, Sato, Omori, and Yoshimura</label><mixed-citation>Ishikawa, T., Sato, K., Omori, T., and Yoshimura, K.: Physics of microbial taxis and behaviours in response to various physical stimuli, Philos. T. R. Soc. A, 383, 20240264, <ext-link xlink:href="https://doi.org/10.1098/rsta.2024.0264" ext-link-type="DOI">10.1098/rsta.2024.0264</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx66"><label>Ishizaka(1993)</label><mixed-citation>Ishizaka, M.: An accurate measurement of densities of snowflakes using 3-D microphotographs, Ann. Glaciol., 18, 92–96, <ext-link xlink:href="https://doi.org/10.3189/S0260305500011319" ext-link-type="DOI">10.3189/S0260305500011319</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx67"><label>Jékely(2009)</label><mixed-citation>Jékely, G.: Evolution of phototaxis, Philos. T. R. Soc. B, 364, 2795–2808, <ext-link xlink:href="https://doi.org/10.1098/rstb.2009.0072" ext-link-type="DOI">10.1098/rstb.2009.0072</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx68"><label>Kam et al.(1999)Kam, Moseyko, Nemson, and Feldman</label><mixed-citation>Kam, V., Moseyko, N., Nemson, J., and Feldman, L. J.: Gravitaxis in <italic>Chlamydomonas reinhardtii</italic> : characterization using video microscopy and computer analysis, Int. J. Plant Sci., 160, 1093–1098, <ext-link xlink:href="https://doi.org/10.1086/314205" ext-link-type="DOI">10.1086/314205</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx69"><label>Kessler(1985)</label><mixed-citation>Kessler, J. O.: Hydrodynamic focusing of motile algal cells, Nature, 313, 218–220, <ext-link xlink:href="https://doi.org/10.1038/313218a0" ext-link-type="DOI">10.1038/313218a0</ext-link>, 1985.</mixed-citation></ref>
      <ref id="bib1.bibx70"><label>Khan et al.(2021)Khan, Dierssen, Scambos, HÃ¶fer, and Cordero</label><mixed-citation>Khan, A. L., Dierssen, H. M., Scambos, T. A., Höfer, J., and Cordero, R. R.: Spectral characterization, radiative forcing and pigment content of coastal Antarctic snow algae: approaches to spectrally discriminate red and green communities and their impact on snowmelt, The Cryosphere, 15, 133–148, <ext-link xlink:href="https://doi.org/10.5194/tc-15-133-2021" ext-link-type="DOI">10.5194/tc-15-133-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx71"><label>Kreimer(2009)</label><mixed-citation>Kreimer, G.: The green algal eyespot apparatus: a primordial visual system and more?, Curr. Genet., 55, 19–43, <ext-link xlink:href="https://doi.org/10.1007/s00294-008-0224-8" ext-link-type="DOI">10.1007/s00294-008-0224-8</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx72"><label>Kvíderová(2010)</label><mixed-citation>Kvíderová, J.: Characterization of the Community of Snow Algae and Their Photochemical Performance <italic>in situ</italic> in the Giant Mountains, Czech Republic, Arct. Antarct. Alp. Res., 42, 210–218, <ext-link xlink:href="https://doi.org/10.1657/1938-4246-42.2.210" ext-link-type="DOI">10.1657/1938-4246-42.2.210</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx73"><label>Latta Iv et al.(2009)Latta Iv, O'Donnell, and Pfrender</label><mixed-citation>Latta Iv, L. C., O'Donnell, R. P., and Pfrender, M. E.: Vertical distribution of <italic>Chlamydomonas</italic> changes in response to grazer and predator kairomones, Oikos, 118, 853–858, <ext-link xlink:href="https://doi.org/10.1111/j.1600-0706.2009.17352.x" ext-link-type="DOI">10.1111/j.1600-0706.2009.17352.x</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx74"><label>Leya(2022)</label><mixed-citation>Leya, T.: The CCCryo Culture Collection of Cryophilic Algae as a valuable bioresource for algal biodiversity and for novel, industrially marketable metabolites, Appl. Phycol., 3, 167–188, <ext-link xlink:href="https://doi.org/10.1080/26388081.2020.1753572" ext-link-type="DOI">10.1080/26388081.2020.1753572</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx75"><label>Leya et al.(2009)</label><mixed-citation>Leya, T., Rahn, A., Lütz, C., and Remias, D.: Response of arctic snow and permafrost algae to high light and nitrogen stress by changes in pigment composition and applied aspects for biotechnology: Pigment change in snow algae, FEMS Microbiol. Ecol., 67, 432–443, <ext-link xlink:href="https://doi.org/10.1111/j.1574-6941.2008.00641.x" ext-link-type="DOI">10.1111/j.1574-6941.2008.00641.x</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx76"><label>Liang et al.(2025)Liang, Zhang, Cheng, Zhu, Liu, Bashir, Kong, and Kong</label><mixed-citation>Liang, D., Zhang, L., Cheng, Q., Zhu, Q., Liu, Y., Bashir, B., Kong, W., and Kong, L.: Seasonal cycles of snow algal blooms intensify surface melting on Antarctic ice shelves, Sci. Rep., 15, 23139, <ext-link xlink:href="https://doi.org/10.1038/s41598-025-05129-3" ext-link-type="DOI">10.1038/s41598-025-05129-3</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx77"><label>Libbrecht(2001)</label><mixed-citation> Libbrecht, K. G.: Morphogenesis on ice: The physics of snow crystals, Engineering and Science, 64.1, 10–19, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx78"><label>Libbrecht(2019)</label><mixed-citation>Libbrecht, K. G.: A quantitative physical model of the snow crystal morphology diagram, arXiv [preprint], <ext-link xlink:href="https://doi.org/10.48550/arxiv.1910.09067" ext-link-type="DOI">10.48550/arxiv.1910.09067</ext-link>,   2019.</mixed-citation></ref>
      <ref id="bib1.bibx79"><label>Liu et al.(2020)Liu, Wu, and Zeng</label><mixed-citation>Liu, F., Wu, Y., and Zeng, L.: Swimming characteristics of <italic>Chlamydomonas reinhardtii</italic>, J. Coastal Res., 104, <ext-link xlink:href="https://doi.org/10.2112/JCR-SI104-081.1" ext-link-type="DOI">10.2112/JCR-SI104-081.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx80"><label>Lutz et al.(2016)Lutz, Anesio, Raiswell, Edwards, Newton, Gill, and Benning</label><mixed-citation>Lutz, S., Anesio, A. M., Raiswell, R., Edwards, A., Newton, R. J., Gill, F., and Benning, L. G.: The biogeography of red snow microbiomes and their role in melting arctic glaciers, Nat. Commun., 7, 11968, <ext-link xlink:href="https://doi.org/10.1038/ncomms11968" ext-link-type="DOI">10.1038/ncomms11968</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx81"><label>Maccario et al.(2015)Maccario, Sanguino, Vogel, and Larose</label><mixed-citation>Maccario, L., Sanguino, L., Vogel, T. M., and Larose, C.: Snow and ice ecosystems: not so extreme, Res. Microbiol., 166, 782–795, <ext-link xlink:href="https://doi.org/10.1016/j.resmic.2015.09.002" ext-link-type="DOI">10.1016/j.resmic.2015.09.002</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx82"><label>Marshall(2024)</label><mixed-citation>Marshall, W. F.: Chlamydomonas as a model system to study cilia and flagella using genetics, biochemistry, and microscopy, Frontiers in Cell and Developmental Biology, 12, 1412641, <ext-link xlink:href="https://doi.org/10.3389/fcell.2024.1412641" ext-link-type="DOI">10.3389/fcell.2024.1412641</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx83"><label>Matsumoto et al.(2024)</label><mixed-citation>Matsumoto, M., Hanneman, C., Camara, A. G., Krueger-Hadfield, S. A., Hamilton, T. L., and Kodner, R. B.: Hypothesized life cycle of the snow algae Chlainomonas sp. (<italic>Chlamydomonadales</italic>, Chlorophyta) from the Cascade Mountains, USA, Journal of Phycology, 60, 724–740, <ext-link xlink:href="https://doi.org/10.1111/jpy.13454" ext-link-type="DOI">10.1111/jpy.13454</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx84"><label>Matsuzaki et al.(2015)Matsuzaki, Kawai-Toyooka, Hara, and Nozaki</label><mixed-citation>Matsuzaki, R., Kawai-Toyooka, H., Hara, Y., and Nozaki, H.: Revisiting the taxonomic significance of aplanozygote morphologies of two cosmopolitan snow species of the genus <italic>Chloromonas</italic> (<italic>Volvocales</italic>, <italic>Chlorophyceae</italic> ), Phycologia, 54, 491–502, <ext-link xlink:href="https://doi.org/10.2216/15-33.1" ext-link-type="DOI">10.2216/15-33.1</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx85"><label>Matsuzaki et al.(2019)Matsuzaki, Nozaki, Takeuchi, Hara, and Kawachi</label><mixed-citation>Matsuzaki, R., Nozaki, H., Takeuchi, N., Hara, Y., and Kawachi, M.: Taxonomic re-examination of “<italic>Chloromonas nivalis</italic> (<italic>Volvocales</italic>, <italic>Chlorophyceae</italic>) zygotes” from Japan and description of <italic>C. muramotoi</italic> sp. nov., Plos One, 14, e0210986, <ext-link xlink:href="https://doi.org/10.1371/journal.pone.0210986" ext-link-type="DOI">10.1371/journal.pone.0210986</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx86"><label>Mätzler(2002)</label><mixed-citation>Mätzler, C.: Relation between grain-size and correlation length of snow, J. Glaciol., 48, 461–466, <ext-link xlink:href="https://doi.org/10.3189/172756502781831287" ext-link-type="DOI">10.3189/172756502781831287</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx87"><label>McCutcheon(1946)</label><mixed-citation>McCutcheon, M.: Chemotaxis in leukocytes, Physiol. Rev., 26, 319–336, <ext-link xlink:href="https://doi.org/10.1152/physrev.1946.26.3.319" ext-link-type="DOI">10.1152/physrev.1946.26.3.319</ext-link>, 1946.</mixed-citation></ref>
      <ref id="bib1.bibx88"><label>Meiners et al.(2003)Meiners, Gradinger, Fehling, Civitarese, and Spindler</label><mixed-citation>Meiners, K., Gradinger, R., Fehling, J., Civitarese, G., and Spindler, M.: Vertical distribution of exopolymer particles in sea ice of the Fram Strait (Arctic) during autumn, Mar. Ecol. Prog. Ser., 248, 1–13, <ext-link xlink:href="https://doi.org/10.3354/meps248001" ext-link-type="DOI">10.3354/meps248001</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx89"><label>Mitchell et al.(2005)Mitchell, Pedersen, Feely, Rosenbaum, and Mitchell</label><mixed-citation>Mitchell, B. F., Pedersen, L. B., Feely, M., Rosenbaum, J. L., and Mitchell, D. R.: ATP Production in <italic>Chlamydomonas reinhardtii</italic> flagella by glycolytic enzymes, Mol. Biol. Cell, 16, 4509–4518, <ext-link xlink:href="https://doi.org/10.1091/mbc.e05-04-0347" ext-link-type="DOI">10.1091/mbc.e05-04-0347</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx90"><label>Morel-Laurens and Feinleib(1983)</label><mixed-citation>Morel-Laurens, N. M. L. and Feinleib, M. E.: PHOTOMOVEMENT IN AN “EYELESS” MUTANT OF Chlamydomonas, Photochem. Photobiol., 37, 189–194, <ext-link xlink:href="https://doi.org/10.1111/j.1751-1097.1983.tb04457.x" ext-link-type="DOI">10.1111/j.1751-1097.1983.tb04457.x</ext-link>, 1983.</mixed-citation></ref>
      <ref id="bib1.bibx91"><label>Moyer et al.(2017)Moyer, Eric Collins, and Morita</label><mixed-citation>Moyer, C. L., Eric Collins, R., and Morita, R. Y.: Psychrophiles and psychrotrophs, in: Reference Module in Life Sciences, Elsevier, ISBN 978-0-12-809633-8, <ext-link xlink:href="https://doi.org/10.1016/B978-0-12-809633-8.02282-2" ext-link-type="DOI">10.1016/B978-0-12-809633-8.02282-2</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx92"><label>Nelson et al.(2023)Nelson, Strain, Isu, Rahnama, Wakabayashi, Melvin, and Kato</label><mixed-citation>Nelson, G., Strain, A., Isu, A., Rahnama, A., Wakabayashi, K.-i., Melvin, A. T., and Kato, N.: Cells collectively migrate during ammonium chemotaxis in <italic>Chlamydomonas reinhardtii</italic>, Sci. Rep., 13, 10781, <ext-link xlink:href="https://doi.org/10.1038/s41598-023-36818-6" ext-link-type="DOI">10.1038/s41598-023-36818-6</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx93"><label>Novis et al.(2008)Novis, Hoham, Beer, and Dawson</label><mixed-citation>Novis, P. M., Hoham, R. W., Beer, T., and Dawson, M.: TWO SNOW SPECIES OF THE QUADRIFLAGELLATE GREEN ALGA <italic>CHLAINOMONAS</italic> (CHLOROPHYTA, VOLVOCALES): ULTRASTRUCTURE AND PHYLOGENETIC POSITION WITHIN THE CHLOROMONAS CLADE, J. Phycol., 44, 1001–1012, <ext-link xlink:href="https://doi.org/10.1111/j.1529-8817.2008.00545.x" ext-link-type="DOI">10.1111/j.1529-8817.2008.00545.x</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx94"><label>Novis et al.(2024)Novis, Kodner, Podolyan, and Leya</label><mixed-citation>Novis, P. M., Kodner, R. B., Podolyan, A., and Leya, T.: <italic>Chloromonas fuhrii sp. nov</italic>. (Chlorophyceae), a cosmopolitan alga from colored snow, Phycologia, 63, 211–224, <ext-link xlink:href="https://doi.org/10.1080/00318884.2024.2313780" ext-link-type="DOI">10.1080/00318884.2024.2313780</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx95"><label>Novoveská et al.(2019)NovoveskÃ¡, Ross, Stanley, Pradelles, Wasiolek, and Sassi</label><mixed-citation>Novoveská, L., Ross, M. E., Stanley, M. S., Pradelles, R., Wasiolek, V., and Sassi, J.-F.: Microalgal carotenoids: a review of production, current markets, regulations, and future direction, Mar. Drugs, 17, 640, <ext-link xlink:href="https://doi.org/10.3390/md17110640" ext-link-type="DOI">10.3390/md17110640</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx96"><label>Ono and Takeuchi(2025)</label><mixed-citation>Ono, M. and Takeuchi, N.: The diel vertical migration of microbes within snowpacks driven by solar radiation and nutrients, Arct. Antarct. Alp. Res., 57, 2460253, <ext-link xlink:href="https://doi.org/10.1080/15230430.2025.2460253" ext-link-type="DOI">10.1080/15230430.2025.2460253</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx97"><label>Ono et al.(2021)Ono, Takeuchi, and Zawierucha</label><mixed-citation>Ono, M., Takeuchi, N., and Zawierucha, K.: Snow algae blooms are beneficial for microinvertebrates assemblages (Tardigrada and Rotifera) on seasonal snow patches in Japan, Sci. Rep., 11, 5973, <ext-link xlink:href="https://doi.org/10.1038/s41598-021-85462-5" ext-link-type="DOI">10.1038/s41598-021-85462-5</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx98"><label>Othmer et al.(2013)Othmer, Xin, and Xue</label><mixed-citation>Othmer, H., Xin, X., and Xue, C.: Excitation and Adaptation in Bacteria – a Model Signal Transduction System that Controls Taxis and Spatial Pattern Formation, Int. J. Mol. Sci., 14, 9205–9248, <ext-link xlink:href="https://doi.org/10.3390/ijms14059205" ext-link-type="DOI">10.3390/ijms14059205</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx99"><label>O'Malley and Bees(2012)</label><mixed-citation>O'Malley, S. and Bees, M. A.: The Orientation of Swimming Biflagellates in Shear Flows, B. Math. Biol., 74, 232–255, <ext-link xlink:href="https://doi.org/10.1007/s11538-011-9673-1" ext-link-type="DOI">10.1007/s11538-011-9673-1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx100"><label>Pedley(2026)</label><mixed-citation>Pedley, T.: Continuum or individual models for suspensions of swimming micro-organisms?, Eur. J. Mech.-B Fluids, 118, 204484, <ext-link xlink:href="https://doi.org/10.1016/j.euromechflu.2026.204484" ext-link-type="DOI">10.1016/j.euromechflu.2026.204484</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx101"><label>Pedley and Kessler(1990)</label><mixed-citation>Pedley, T. J. and Kessler, J. O.: A new continuum model for suspensions of gyrotactic micro-organisms, J. Fluid Mech., 212, 155–182, <ext-link xlink:href="https://doi.org/10.1017/S0022112090001914" ext-link-type="DOI">10.1017/S0022112090001914</ext-link>, 1990.</mixed-citation></ref>
      <ref id="bib1.bibx102"><label>Pedley and Kessler(1992)</label><mixed-citation>Pedley, T. J. and Kessler, J. O.: Hydrodynamic phenomena in suspensions of swimming microorganisms, Annu. Rev. Fluid Mech., 24, 313–358, <ext-link xlink:href="https://doi.org/10.1146/annurev.fl.24.010192.001525" ext-link-type="DOI">10.1146/annurev.fl.24.010192.001525</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx103"><label>Pivato and Ballottari(2021)</label><mixed-citation>Pivato, M. and Ballottari, M.: <italic>Chlamydomonas reinhardtii</italic> cellular compartments and their contribution to intracellular calcium signalling, J. Exp. Bot., 72, 5312–5335, <ext-link xlink:href="https://doi.org/10.1093/jxb/erab212" ext-link-type="DOI">10.1093/jxb/erab212</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx104"><label>Platt(1961)</label><mixed-citation>Platt, J. R.: “Bioconvection patterns” in cultures of free-swimming organisms, Science, 133, 1766–1767, <ext-link xlink:href="https://doi.org/10.1126/science.133.3466.1766" ext-link-type="DOI">10.1126/science.133.3466.1766</ext-link>, 1961.</mixed-citation></ref>
      <ref id="bib1.bibx105"><label>Prakash and Croze(2021)</label><mixed-citation>Prakash, P. and Croze, O. A.: Photogyrotactic concentration of a population of swimming microalgae across a porous layer, Frontiers in Physics, 9, 744428, <ext-link xlink:href="https://doi.org/10.3389/fphy.2021.744428" ext-link-type="DOI">10.3389/fphy.2021.744428</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx106"><label>Procházková et al.(2019)</label><mixed-citation>Procházková, L., Leya, T., Křížková, H., and Nedbalová, L.: <italic>Sanguina nivaloides</italic> and <italic>Sanguina aurantia</italic> gen. et spp. nov. (<italic>Chlorophyta</italic>): the taxonomy, phylogeny, biogeography and ecology of two newly recognised algae causing red and orange snow, FEMS Microbiol. Ecol., 95, fiz064, <ext-link xlink:href="https://doi.org/10.1093/femsec/fiz064" ext-link-type="DOI">10.1093/femsec/fiz064</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx107"><label>Procházková et al.(2020)</label><mixed-citation>Procházková,, L., Remias, D., Bilger, W., Krǐžková, H., Řezanka, T., and Nedbalová, L.: Cysts of the snow alga <italic>Chloromonas krienitzii</italic> (<italic>Chlorophyceae</italic>) show increased tolerance to ultraviolet radiation and elevated visible light, Front. Plant Sci., 11, 617250, <ext-link xlink:href="https://doi.org/10.3389/fpls.2020.617250" ext-link-type="DOI">10.3389/fpls.2020.617250</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx108"><label>Procházková et al.(2023)</label><mixed-citation>Procházková, L., Matsuzaki, R., Řezanka, T., Nedbalová, L., and Remias, D.: The snow alga <italic>Chloromonas kaweckae</italic> sp. nov. (Volvocales, Chlorophyta) causes green surface blooms in the high tatras (Slovakia) and tolerates high irradiance, J. Phycol., 59, 236–248, <ext-link xlink:href="https://doi.org/10.1111/jpy.13307" ext-link-type="DOI">10.1111/jpy.13307</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx109"><label>Procházková et al.(2026)</label><mixed-citation>Procházková, L., Andersen, R. A., Leya, T., Řezanka, T., Lukeš, M., Nedbalová, L., and Remias, D.: Novel <italic>Hydrurus</italic> species (Chrysophyceae) and their adaptations to high-altitude European and Arctic snowfields, J. Phycol., 62, 818–845, <ext-link xlink:href="https://doi.org/10.1111/jpy.70162" ext-link-type="DOI">10.1111/jpy.70162</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx110"><label>Raymond et al.(2022)Raymond, Engstrom, and Quarmby</label><mixed-citation>Raymond, B. B., Engstrom, C. B., and Quarmby, L. M.: The underlying green biciliate morphology of the orange snow alga Sanguina aurantia, Curr. Biol., 32, 934–936, <ext-link xlink:href="https://doi.org/10.1016/j.cub.2022.02.030" ext-link-type="DOI">10.1016/j.cub.2022.02.030</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx111"><label>Raymond et al.(2024)Raymond, Guenzi-Tiberi, MarÃ©chal, and Quarmby</label><mixed-citation>Raymond, B. B., Guenzi-Tiberi, P., Maréchal, E., and Quarmby, L. M.: Snow alga <italic>Sanguina aurantia</italic> as revealed through de novo genome assembly and annotation, G3: Genes, Genomes, Genetics,   jkae181, <ext-link xlink:href="https://doi.org/10.1093/g3journal/jkae181" ext-link-type="DOI">10.1093/g3journal/jkae181</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx112"><label>Raymond and Morgan-Kiss(2017)</label><mixed-citation>Raymond, J. A. and Morgan-Kiss, R.: Multiple ice-binding proteins of probable prokaryotic origin in an Antarctic lake alga, <italic>Chlamydomonas</italic> sp. ICE-MDV (Chlorophyceae), J. Phycol., 53, 848–854, <ext-link xlink:href="https://doi.org/10.1111/jpy.12550" ext-link-type="DOI">10.1111/jpy.12550</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx113"><label>Rea and Dial(2024)</label><mixed-citation>Rea, M. E. and Dial, R. J.: An experimental assessment of active and passive dispersal of red snow algae on the Harding Icefield, southcentral Alaska, Arct. Antarct.  Alp. Res., 56, 2370905, <ext-link xlink:href="https://doi.org/10.1080/15230430.2024.2370905" ext-link-type="DOI">10.1080/15230430.2024.2370905</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx114"><label>Remias et al.(2005)</label><mixed-citation>Remias, D., Lütz-Meindl, U., and Lütz, C.: Photosynthesis, pigments and ultrastructure of the alpine snow alga <italic>Chlamydomonas nivalis</italic>, Eur. J. Phycol., 40, 259–268, <ext-link xlink:href="https://doi.org/10.1080/09670260500202148" ext-link-type="DOI">10.1080/09670260500202148</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx115"><label>Remias et al.(2020)</label><mixed-citation>Remias, D., Procházková, L., Nedbalová, L., Andersen, R. A., and Valentin, K.: Two New <italic>Kremastochrysopsis</italic> species, <italic>K. austriaca</italic> sp. nov. and <italic>K. americana</italic> sp. nov. (Chrysophyceae), J. Phycol., 56, 135–145, <ext-link xlink:href="https://doi.org/10.1111/jpy.12937" ext-link-type="DOI">10.1111/jpy.12937</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx116"><label>Riedel et al.(2006)Riedel, Michel, and Gosselin</label><mixed-citation>Riedel, A., Michel, C., and Gosselin, M.: Seasonal study of sea-ice exopolymeric substances on the Mackenzie shelf: implications for transport of sea-ice bacteria and algae, Aquat. Microb. Ecol., 45, 195–206, <ext-link xlink:href="https://doi.org/10.3354/ame045195" ext-link-type="DOI">10.3354/ame045195</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx117"><label>Roberts(2006)</label><mixed-citation>Roberts, A. M.: Mechanisms of gravitaxis in <italic>Chlamydomonas</italic>, Biol. Bull., 210, 78–80, <ext-link xlink:href="https://doi.org/10.2307/4134597" ext-link-type="DOI">10.2307/4134597</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx118"><label>Rolland et al.(2009)Rolland, Atteia, Decottignies, Garin, Hippler, Kreimer, Lemaire, Mittag, and Wagner</label><mixed-citation>Rolland, N., Atteia, A., Decottignies, P., Garin, J., Hippler, M., Kreimer, G., Lemaire, S. D., Mittag, M., and Wagner, V.: <italic>Chlamydomonas</italic> proteomics, Curr. Opin. Microbiol., 12, 285–291, <ext-link xlink:href="https://doi.org/10.1016/j.mib.2009.04.001" ext-link-type="DOI">10.1016/j.mib.2009.04.001</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx119"><label>Roussel et al.(2024)</label><mixed-citation>Roussel, L., Dumont, M., Gascoin, S., Monteiro, D., Bavay, M., Nabat, P., Ezzedine, J. A., Fructus, M., Lafaysse, M., Morin, S., and Maréchal, E.: Snowmelt duration controls red algal blooms in the snow of the European Alps, P. Natl. Acad. Sci. USA, 121, e2400362121, <ext-link xlink:href="https://doi.org/10.1073/pnas.2400362121" ext-link-type="DOI">10.1073/pnas.2400362121</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx120"><label>Saadaoui et al.(2021)Saadaoui, Rasheed, Aguilar, Cherif, Al Jabri, Sayadi, and Manning</label><mixed-citation>Saadaoui, I., Rasheed, R., Aguilar, A., Cherif, M., Al Jabri, H., Sayadi, S., and Manning, S. R.: Microalgal-based feed: promising alternative feedstocks for livestock and poultry production, J. Anim. Sci. Biotechno., 12, 76, <ext-link xlink:href="https://doi.org/10.1186/s40104-021-00593-z" ext-link-type="DOI">10.1186/s40104-021-00593-z</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx121"><label>Sandells and Flocco(2022)</label><mixed-citation>Sandells, M. and Flocco, D.: Introduction to the physics of the cryosphere, second edn., IOP Publishing, ISBN 978-0-7503-3647-5 978-0-7503-3645-1, <ext-link xlink:href="https://doi.org/10.1088/978-0-7503-3647-5" ext-link-type="DOI">10.1088/978-0-7503-3647-5</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx122"><label>Sazaki et al.(2012)Sazaki, Zepeda, Nakatsubo, Yokomine, and Furukawa</label><mixed-citation>Sazaki, G., Zepeda, S., Nakatsubo, S., Yokomine, M., and Furukawa, Y.: Quasi-liquid layers on ice crystal surfaces are made up of two different phases, P. Natl. Acad. Sci. USA, 109, 1052–1055, <ext-link xlink:href="https://doi.org/10.1073/pnas.1116685109" ext-link-type="DOI">10.1073/pnas.1116685109</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx123"><label>Schoeters et al.(2022)Schoeters, Spit, Azizah, and Van Miert</label><mixed-citation>Schoeters, F., Spit, J., Azizah, R. N., and Van Miert, S.: Pilot-scale cultivation of the snow alga <italic>Chloromonas typhlos</italic> in a photobioreactor, Frontiers in Bioengineering and Biotechnology, 10, 896261, <ext-link xlink:href="https://doi.org/10.3389/fbioe.2022.896261" ext-link-type="DOI">10.3389/fbioe.2022.896261</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx124"><label>Schuler and Mikucki(2023)</label><mixed-citation>Schuler, C. G. and Mikucki, J. A.: Microbial ecology and activity of snow algae within a Pacific Northwest snowpack, Arct. Antarct. Alp. Res., 55, 2233785, <ext-link xlink:href="https://doi.org/10.1080/15230430.2023.2233785" ext-link-type="DOI">10.1080/15230430.2023.2233785</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx125"><label>Sekiguchi et al.(2018)Sekiguchi, Kameda, Kurosawa, Yoshida, and Yoshimura</label><mixed-citation>Sekiguchi, M., Kameda, S., Kurosawa, S., Yoshida, M., and Yoshimura, K.: Thermotaxis in <italic>Chlamydomonas</italic> is brought about by membrane excitation and controlled by redox conditions, Sci. Rep., 8, 16114, <ext-link xlink:href="https://doi.org/10.1038/s41598-018-34487-4" ext-link-type="DOI">10.1038/s41598-018-34487-4</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx126"><label>Sengupta et al.(2017)Sengupta, Carrara, and Stocker</label><mixed-citation>Sengupta, A., Carrara, F., and Stocker, R.: Phytoplankton can actively diversify their migration strategy in response to turbulent cues, Nature, 543, 555–558, <ext-link xlink:href="https://doi.org/10.1038/nature21415" ext-link-type="DOI">10.1038/nature21415</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx127"><label>Sineshchekov et al.(2009)Sineshchekov, Govorunova, and Spudich</label><mixed-citation>Sineshchekov, O. A., Govorunova, E. G., and Spudich, J. L.: Photosensory functions of channelrhodopsins in native algal cells, Photochem. Photobiol., 85, 556–563, <ext-link xlink:href="https://doi.org/10.1111/j.1751-1097.2008.00524.x" ext-link-type="DOI">10.1111/j.1751-1097.2008.00524.x</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx128"><label>Skiles et al.(2018)Skiles, Flanner, Cook, Dumont, and Painter</label><mixed-citation>Skiles, S. M., Flanner, M., Cook, J. M., Dumont, M., and Painter, T. H.: Radiative forcing by light-absorbing particles in snow, Nat. Clim. Change, 8, 964–971, <ext-link xlink:href="https://doi.org/10.1038/s41558-018-0296-5" ext-link-type="DOI">10.1038/s41558-018-0296-5</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx129"><label>Slater and Michaelides(2019)</label><mixed-citation>Slater, B. and Michaelides, A.: Surface premelting of water ice, Nat. Rev.  Chem., 3, 172–188, <ext-link xlink:href="https://doi.org/10.1038/s41570-019-0080-8" ext-link-type="DOI">10.1038/s41570-019-0080-8</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx130"><label>Sommers et al.(2026)Sommers, Traver, Orthel, Fountain, Klancher, and Schmidt</label><mixed-citation>Sommers, P., Traver, E., Orthel, A., Fountain, A. G., Klancher, J., and Schmidt, S. K.: Microbial communities and biogeochemistry of a melting Rocky Mountain glacier, Arct. Antarct. Alp. Res., 58, 2600126, <ext-link xlink:href="https://doi.org/10.1080/15230430.2025.2600126" ext-link-type="DOI">10.1080/15230430.2025.2600126</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx131"><label>Souliès et al.(2016)SouliÃ¨s, Pruvost, Castelain, and Burghelea</label><mixed-citation>Souliès, A., Pruvost, J., Castelain, C., and Burghelea, T.: Microscopic flows of suspensions of the green non-motile <italic>Chlorella</italic> micro-alga at various volume fractions: Applications to intensified photobioreactors, J. Non-Newton. Fluid, 231, 91–101, <ext-link xlink:href="https://doi.org/10.1016/j.jnnfm.2016.03.012" ext-link-type="DOI">10.1016/j.jnnfm.2016.03.012</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx132"><label>Srivastava et al.(2010)Srivastava, Mahajan, Satyawali, and Kumar</label><mixed-citation>Srivastava, P., Mahajan, P., Satyawali, P., and Kumar, V.: Observation of temperature gradient metamorphism in snow by X-ray computed microtomography: measurement of microstructure parameters and simulation of linear elastic properties, Ann. Glaciol., 51, 73–82, <ext-link xlink:href="https://doi.org/10.3189/172756410791386571" ext-link-type="DOI">10.3189/172756410791386571</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx133"><label>Stibal et al.(2009)Stibal, Anesio, Blues, and Tranter</label><mixed-citation>Stibal, M., Anesio, A. M., Blues, C. J. D., and Tranter, M.: Phosphatase activity and organic phosphorus turnover on a high Arctic glacier, Biogeosciences, 6, 913–922, <ext-link xlink:href="https://doi.org/10.5194/bg-6-913-2009" ext-link-type="DOI">10.5194/bg-6-913-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx134"><label>Sturm(2020)</label><mixed-citation>Sturm, M.: Field guide to snow, University of Alaska Press, <uri>https://www.jstor.org/stable/j.ctv21fqgnp</uri> (last access: 24 September 2026), 2020.</mixed-citation></ref>
      <ref id="bib1.bibx135"><label>Sugden et al.(2025)Sugden, Serrouya, Neufeld, Schwantje, St. Clair, Stein, and Spribille</label><mixed-citation>Sugden, S., Serrouya, R., Neufeld, L., Schwantje, H., St. Clair, C. C., Stein, L., and Spribille, T.: Endangered deep-snow mountain caribou have a distinct winter diet and gut microbiome that may be altered by maternal penning, Mol. Ecol., 34, e17783, <ext-link xlink:href="https://doi.org/10.1111/mec.17783" ext-link-type="DOI">10.1111/mec.17783</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx136"><label>Suzuki et al.(2023)</label><mixed-citation>Suzuki, H., Détain, A., Park, Y., Viswanath, K., Wijffels, R. H., Leborgne-Castel, N., Procházková, L., and Hulatt, C. J.: Phylogeny and lipid profiles of snow-algae isolated from Norwegian red-snow microbiomes, FEMS Microbiol. Ecol., 99, fiad057, <ext-link xlink:href="https://doi.org/10.1093/femsec/fiad057" ext-link-type="DOI">10.1093/femsec/fiad057</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx137"><label>Tan and Chiam(2018)</label><mixed-citation>Tan, R. Z. and Chiam, K.-H.: A computational model for how cells choose temporal or spatial sensing during chemotaxis, PLOS Comput. Biol., 14, e1005966, <ext-link xlink:href="https://doi.org/10.1371/journal.pcbi.1005966" ext-link-type="DOI">10.1371/journal.pcbi.1005966</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx138"><label>Tesson and Pröschold(2022)</label><mixed-citation>Tesson, S. V. M. and Pröschold, T.: Description of Limnomonas gen. nov., L. gaiensis sp. nov. and L. spitsbergensis sp. nov. (Chlamydomonadales, Chlorophyta), Diversity, 14, 481, <ext-link xlink:href="https://doi.org/10.3390/d14060481" ext-link-type="DOI">10.3390/d14060481</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx139"><label>Thomson et al.(2025)Thomson, Gray, Colesie, Thomas, Moulton, Convey, Smith, Fretwell, Peck, and Davey</label><mixed-citation>Thomson, A. I., Gray, A., Colesie, C., Thomas, N., Moulton, H., Convey, P., Smith, A. G., Fretwell, P., Peck, L., and Davey, M. P.: Surface darkening by abundant and diverse algae on an Antarctic ice cap, Nat. Commun., 16, 2647, <ext-link xlink:href="https://doi.org/10.1038/s41467-025-57725-6" ext-link-type="DOI">10.1038/s41467-025-57725-6</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx140"><label>Timm and Okubo(1994)</label><mixed-citation>Timm, U. and Okubo, A.: Gyrotaxis: A plume model for self-focusing micro-organisms, B. Math. Biol., 56, 187–206, <ext-link xlink:href="https://doi.org/10.1016/S0092-8240(05)80255-1" ext-link-type="DOI">10.1016/S0092-8240(05)80255-1</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx141"><label>Tucker and Brown(2022)</label><mixed-citation>Tucker, A. E. and Brown, S. P.: Sampling a gradient of red snow algae bloom density reveals novel connections between microbial communities and environmental features, Sci. Rep., 12, 10536, <ext-link xlink:href="https://doi.org/10.1038/s41598-022-13914-7" ext-link-type="DOI">10.1038/s41598-022-13914-7</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx142"><label>Vachier and Wettlaufer(2022)</label><mixed-citation>Vachier, J. and Wettlaufer, J. S.: Biolocomotion and premelting in ice, Frontiers in Physics, 10, 904836, <ext-link xlink:href="https://doi.org/10.3389/fphy.2022.904836" ext-link-type="DOI">10.3389/fphy.2022.904836</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx143"><label>Vincent and Hill(1996)</label><mixed-citation>Vincent, R. V. and Hill, N. A.: Bioconvection in a suspension of phototactic algae, J. Fluid Mech., 327, 343–371, <ext-link xlink:href="https://doi.org/10.1017/S0022112096008579" ext-link-type="DOI">10.1017/S0022112096008579</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx144"><label>Wager(1911)</label><mixed-citation>Wager, H. W. T.: On the effect of gravity upon the movements and aggregation of <italic>Euglena viridis</italic>, <italic>Ehrb.</italic>, and other micro-organisms, Philos. T. R. Soc. Lond.  B, 201, 333–390, <ext-link xlink:href="https://doi.org/10.1098/rstb.1911.0007" ext-link-type="DOI">10.1098/rstb.1911.0007</ext-link>, 1911.</mixed-citation></ref>
      <ref id="bib1.bibx145"><label>Wan and Goldstein(2016)</label><mixed-citation>Wan, K. Y. and Goldstein, R. E.: Coordinated beating of algal flagella is mediated by basal coupling, P. Natl. Acad. Sci. USA, 113, <ext-link xlink:href="https://doi.org/10.1073/pnas.1518527113" ext-link-type="DOI">10.1073/pnas.1518527113</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx146"><label>Wang et al.(2026)Wang, Bentley, Li, Wan, and Tsang</label><mixed-citation>Wang, Z., Bentley, S. A., Li, J., Wan, K. Y., and Tsang, A. C.: Light-Dependent Switching of Circling Handedness in Microswimmer Navigation, Phys. Rev. Lett., 136, 078301, <ext-link xlink:href="https://doi.org/10.1103/6cdq-1nvv" ext-link-type="DOI">10.1103/6cdq-1nvv</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx147"><label>Weiss(1983)</label><mixed-citation>Weiss, R. L.: Fine structure of the snow alga (<italic>Chlamydomonas nivalis</italic>) and associated bacteria, J. Phycol., 19, 200–204, <ext-link xlink:href="https://doi.org/10.1111/j.0022-3646.1983.00200.x" ext-link-type="DOI">10.1111/j.0022-3646.1983.00200.x</ext-link>, 1983.</mixed-citation></ref>
      <ref id="bib1.bibx148"><label>Wergin et al.(1996)Wergin, Rango, Erbe, and Murphy</label><mixed-citation>Wergin, W. P., Rango, A., Erbe, E. F., and Murphy, C. A.: Low temperature SEM of precipitated and metamorphosed snow crystals collected and transported from remote sites, Microsc. Microanal., 2, 99–112, <ext-link xlink:href="https://doi.org/10.1017/S1431927696210992" ext-link-type="DOI">10.1017/S1431927696210992</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx149"><label>Williams and Bees(2011a)</label><mixed-citation>Williams, C. R. and Bees, M. A.: Photo-gyrotactic bioconvection, J. Fluid Mech., 678, 41–86, <ext-link xlink:href="https://doi.org/10.1017/jfm.2011.100" ext-link-type="DOI">10.1017/jfm.2011.100</ext-link>, 2011a.</mixed-citation></ref>
      <ref id="bib1.bibx150"><label>Williams and Bees(2011b)</label><mixed-citation>Williams, C. R. and Bees, M. A.: A tale of three taxes: photo-gyro-gravitactic bioconvection, J. Exp. Biol., 214, 2398–2408, <ext-link xlink:href="https://doi.org/10.1242/jeb.051094" ext-link-type="DOI">10.1242/jeb.051094</ext-link>, 2011b.</mixed-citation></ref>
      <ref id="bib1.bibx151"><label>Wilson and Bees(2025)</label><mixed-citation>Wilson, L. G. and Bees, M. A.: Asymmetries in the three-dimensional beat of <italic>Chlamydomonas reinhardtii</italic> flagella revealed by holographic microscopy, J. Cell Sci., 138, jcs263946, <ext-link xlink:href="https://doi.org/10.1242/jcs.263946" ext-link-type="DOI">10.1242/jcs.263946</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx152"><label>Yasuda et al.(2024)Yasuda, Endo, Arai, and Yasuoka</label><mixed-citation>Yasuda, I., Endo, K., Arai, N., and Yasuoka, K.: In-layer inhomogeneity of molecular dynamics in quasi-liquid layers of ice, Commun. Chem., 7, 117, <ext-link xlink:href="https://doi.org/10.1038/s42004-024-01197-0" ext-link-type="DOI">10.1038/s42004-024-01197-0</ext-link>, 2024. </mixed-citation></ref>
      <ref id="bib1.bibx153"><label>Yoshimura et al.(2003)Yoshimura, Matsuo, and Kamiya</label><mixed-citation>Yoshimura, K., Matsuo, Y., and Kamiya, R.: Gravitaxis in <italic>Chlamydomonas reinhardtii</italic> studied with novel mutants, Plant Cell Physiol., 44, 1112–1118, <ext-link xlink:href="https://doi.org/10.1093/pcp/pcg134" ext-link-type="DOI">10.1093/pcp/pcg134</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx154"><label>Young and Mitchell(1973)</label><mixed-citation>Young, L. Y. and Mitchell, R.: Negative chemotaxis of marine bacteria to toxic chemicals, Applied Microbiol., 25, 972–975, <ext-link xlink:href="https://doi.org/10.1128/am.25.6.972-975.1973" ext-link-type="DOI">10.1128/am.25.6.972-975.1973</ext-link>, 1973.</mixed-citation></ref>
      <ref id="bib1.bibx155"><label>Zhang et al.(2022)Zhang, Li, Duan, Abbas, Mundaca-Uribe, Yin, Luan, Gao, Fang, Zhang, and Wang</label><mixed-citation>Zhang, F., Li, Z., Duan, Y., Abbas, A., Mundaca-Uribe, R., Yin, L., Luan, H., Gao, W., Fang, R. H., Zhang, L., and Wang, J.: Gastrointestinal tract drug delivery using algae motors embedded in a degradable capsule, Science Robotics, 7, <ext-link xlink:href="https://doi.org/10.1126/scirobotics.abo4160" ext-link-type="DOI">10.1126/scirobotics.abo4160</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx156"><label>Zhang et al.(2024)Zhang, Guo, Li, Luan, Yu, Zhu, Ding, Gao, Fang, Zhang, and Wang</label><mixed-citation>Zhang, F., Guo, Z., Li, Z., Luan, H., Yu, Y., Zhu, A. T., Ding, S., Gao, W., Fang, R. H., Zhang, L., and Wang, J.: Biohybrid microrobots locally and actively deliver drug-loaded nanoparticles to inhibit the progression of lung metastasis, Science Advances, 10, eadn6157, <ext-link xlink:href="https://doi.org/10.1126/sciadv.adn6157" ext-link-type="DOI">10.1126/sciadv.adn6157</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx157"><label>Zheng et al.(2020)Zheng, Xue, Chen, He, and Wang</label><mixed-citation>Zheng, Y., Xue, C., Chen, H., He, C., and Wang, Q.: Low-temperature adaptation of the snow alga <italic>Chlamydomonas nivalis</italic> is associated with the photosynthetic system regulatory process, Front. Microbiol., 11, 1233, <ext-link xlink:href="https://doi.org/10.3389/fmicb.2020.01233" ext-link-type="DOI">10.3389/fmicb.2020.01233</ext-link>, 2020.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Reviews and syntheses: Snow algae on the move – biased motility and snowpack interaction from a biophysics perspective</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Adler et al.(1973)Adler, Hazelbauer, and
Dahl</label><mixed-citation>
      
Adler, J., Hazelbauer, G. L., and Dahl, M. M.: Chemotaxis toward sugars in
<i>Escherichia coli</i>, J. Bacteriol., 115, 824–847,
<a href="https://doi.org/10.1128/jb.115.3.824-847.1973" target="_blank">https://doi.org/10.1128/jb.115.3.824-847.1973</a>, 1973.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Agrawal(2012)</label><mixed-citation>
      
Agrawal, S. C.: Factors controlling induction of reproduction in
algae – review: the text, Folia Microbiol., 57, 387–407,
<a href="https://doi.org/10.1007/s12223-012-0147-0" target="_blank">https://doi.org/10.1007/s12223-012-0147-0</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Almela et al.(2024)Almela, Elser, Giersch, Hotaling, Rebbeck, and
Hamilton</label><mixed-citation>
      
Almela, P., Elser, J. J., Giersch, J. J., Hotaling, S., Rebbeck, V., and
Hamilton, T. L.: Laboratory experiments suggest a limited impact of increased
nitrogen deposition on snow algae blooms, Env. Microbiol. Rep.,
16, e70&thinsp;052, <a href="https://doi.org/10.1111/1758-2229.70052" target="_blank">https://doi.org/10.1111/1758-2229.70052</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Almela et al.(2025)Almela, Elser, Giersch, Hotaling, and
Hamilton</label><mixed-citation>
      
Almela, P., Elser, J. J., Giersch, J. J., Hotaling, S., and Hamilton, T. L.:
Influence of snow cover on albedo reduction by snow algae, mBio, 16,
e03630-24, <a href="https://doi.org/10.1128/mbio.03630-24" target="_blank">https://doi.org/10.1128/mbio.03630-24</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Amaral et al.(2023)Amaral, Duci, Cotta, Bacellar, Oliveira, Verret,
Asadi, Vandamme, Reis, Bryant, Tosh, Mouget, Perkins, and
Rocha</label><mixed-citation>
      
Amaral, R., Duci, D., Cotta, F. C., Bacellar, F. L., Oliveira, S., Verret, F.,
Asadi, K., Vandamme, L. K., Reis, N. M., Bryant, L. D., Tosh, D., Mouget,
J.-L., Perkins, R., and Rocha, P. R.: Ion-driven communication and
acclimation strategies in microalgae, Chem. Eng. J., 473,
144985, <a href="https://doi.org/10.1016/j.cej.2023.144985" target="_blank">https://doi.org/10.1016/j.cej.2023.144985</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Bar Dolev et al.(2016)Bar Dolev, Braslavsky, and
Davies</label><mixed-citation>
      
Bar Dolev, M., Braslavsky, I., and Davies, P. L.: Ice-Binding Proteins and
Their Function, Annu. Rev. Biochem., 85, 515–542,
<a href="https://doi.org/10.1146/annurev-biochem-060815-014546" target="_blank">https://doi.org/10.1146/annurev-biochem-060815-014546</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Baran et al.(2025)Baran, Llombart, and
MacDowell</label><mixed-citation>
      
Baran, Ł., Llombart, P., and MacDowell, L. G.: Understanding Interfacial
Ice Premelting: Structure, Adhesion, and Nucleation, J,
Phys. Chem. C, 129, 4614–4631, <a href="https://doi.org/10.1021/acs.jpcc.4c07328" target="_blank">https://doi.org/10.1021/acs.jpcc.4c07328</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Barry et al.(2015)Barry, Rusconi, Guasto, and
Stocker</label><mixed-citation>
      
Barry, M. T., Rusconi, R., Guasto, J. S., and Stocker, R.: Shear-induced
orientational dynamics and spatial heterogeneity in suspensions of motile
phytoplankton, J. Roy. Soc. Interface, 12, 20150791,
<a href="https://doi.org/10.1098/rsif.2015.0791" target="_blank">https://doi.org/10.1098/rsif.2015.0791</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Barsanti et al.(2025)Barsanti, Birindelli, Di Garbo, and
Gualtieri</label><mixed-citation>
      
Barsanti, L., Birindelli, L., Di Garbo, A., and Gualtieri, P.: Bioconvection in
microalgae: review of mathematical models, Appl. Sci., 15, 2708,
<a href="https://doi.org/10.3390/app15052708" target="_blank">https://doi.org/10.3390/app15052708</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Bean(1977)</label><mixed-citation>
      
Bean, B.: Geotactic behavior of <i>Chlamydomonas</i>,  J.
Protozool., 24, 394–401, <a href="https://doi.org/10.1111/j.1550-7408.1977.tb04759.x" target="_blank">https://doi.org/10.1111/j.1550-7408.1977.tb04759.x</a>, 1977.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Bearon et al.(2012)Bearon, Bees, and
Croze</label><mixed-citation>
      
Bearon, R. N., Bees, M. A., and Croze, O. A.: Biased swimming cells do not
disperse in pipes as tracers: A population model based on microscale
behaviour, Phys. Fluids, 24, 121902, <a href="https://doi.org/10.1063/1.4772189" target="_blank">https://doi.org/10.1063/1.4772189</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Bechinger et al.(2016)</label><mixed-citation>
      
Bechinger, C., Di Leonardo, R., Löwen, H., Reichhardt, C., Volpe, G., and
Volpe, G.: Active particles in complex and crowded environments, Rev.
Modern Phys., 88, 045006, <a href="https://doi.org/10.1103/RevModPhys.88.045006" target="_blank">https://doi.org/10.1103/RevModPhys.88.045006</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Bees and Hill(1997)</label><mixed-citation>
      
Bees, M. A. and Hill, N. A.: Wavelengths of bioconvection patterns, J.
Exp. Biol., 200, 1515–1526, <a href="https://doi.org/10.1242/jeb.200.10.1515" target="_blank">https://doi.org/10.1242/jeb.200.10.1515</a>, 1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Bendix(1960)</label><mixed-citation>
      
Bendix, S. W.: Phototaxis,   Bot. Rev., 26, 145–208,
<a href="https://doi.org/10.1007/BF02860529" target="_blank">https://doi.org/10.1007/BF02860529</a>, 1960.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Bischoff(2007)</label><mixed-citation>
      
Bischoff, Y.: Diversité et mobilitédes algues de neige dans les Alpes
suisses, PhD thesis, Université de Genée,
<a href="https://doi.org/10.13097/ARCHIVE-OUVERTE/UNIGE:516" target="_blank">https://doi.org/10.13097/ARCHIVE-OUVERTE/UNIGE:516</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Broadwell et al.(2023)Broadwell, Pickford, Perkins, Sgouridis, and
Williamson</label><mixed-citation>
      
Broadwell, E. L. M., Pickford, R. E., Perkins, R. G., Sgouridis, F., and
Williamson, C. J.: Adaptation versus plastic responses to temperature, light,
and nitrate availability in cultured snow algal strains, FEMS Microbiol.
Ecol., 99, fiad088, <a href="https://doi.org/10.1093/femsec/fiad088" target="_blank">https://doi.org/10.1093/femsec/fiad088</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Brown et al.(2015)Brown, Olson, and
Jumpponen</label><mixed-citation>
      
Brown, S. P., Olson, B. J., and Jumpponen, A.: Fungi and algae co-occur in
snow: an issue of shared habitat or algal facilitation of heterotrophs?,
Arct. Antarct. Alp. Res., 47, 729–749,
<a href="https://doi.org/10.1657/AAAR0014-071" target="_blank">https://doi.org/10.1657/AAAR0014-071</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Brzoska et al.(1998)Brzoska, ColÃ©ou, and
Lesaffre</label><mixed-citation>
      
Brzoska, J.-B., Coléou, C., and Lesaffre, B.: Thin-sectioning of wet snow
after flash-freezing, J. Glaciol., 44, 54–62,
<a href="https://doi.org/10.3189/S0022143000002343" target="_blank">https://doi.org/10.3189/S0022143000002343</a>, 1998.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Cheloni and Slaveykova(2018)</label><mixed-citation>
      
Cheloni, G. and Slaveykova, V.: Photo-Oxidative Stress in Green Algae
and Cyanobacteria, Reactive Oxygen Species, <a href="https://archive-ouverte.unige.ch/unige:102840" target="_blank"/> (last access: 24 September 2026),
2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Chen et al.(2015)Chen, Heymann, Fraden, Nicastro, and
Dogic</label><mixed-citation>
      
Chen, D., Heymann, M., Fraden, S., Nicastro, D., and Dogic, Z.: ATP
consumption of eukaryotic flagella measured at a single-cell level,
Biophys. J., 109, 2562–2573, <a href="https://doi.org/10.1016/j.bpj.2015.11.003" target="_blank">https://doi.org/10.1016/j.bpj.2015.11.003</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Choi et al.(2016)Choi, Kim, Kwak, Sung, and
Sim</label><mixed-citation>
      
Choi, H. I., Kim, J. Y. H., Kwak, H. S., Sung, Y. J., and Sim, S. J.:
Quantitative analysis of the chemotaxis of a green alga,
<i>Chlamydomonas reinhardtii</i>, to bicarbonate using diffusion-based
microfluidic device, Biomicrofluidics, 10, 014121, <a href="https://doi.org/10.1063/1.4942756" target="_blank">https://doi.org/10.1063/1.4942756</a>,
2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Choudhary et al.(2025)Choudhary, Ma, Baskaran, and
Sharma</label><mixed-citation>
      
Choudhary, S. K., Ma, Y., Baskaran, A., and Sharma, P.: Transient state
dynamics of <i>Chlamydomonas reinhardtii</i> cells during phototaxis,
Phys. Rev. Res., 7, 033282, <a href="https://doi.org/10.1103/l53n-2kg1" target="_blank">https://doi.org/10.1103/l53n-2kg1</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Coléou et al.(1999)</label><mixed-citation>
      
Coléou, C., Xu, K., Lesaffre, B., and Brzoska, J.-B.: Capillary rise in snow,
Hydrol. Process., 13, 1721–1732,
<a href="https://doi.org/10.1002/(SICI)1099-1085(199909)13:12/13&lt;1721::AID-HYP852&gt;3.0.CO;2-D" target="_blank">https://doi.org/10.1002/(SICI)1099-1085(199909)13:12/13&lt;1721::AID-HYP852&gt;3.0.CO;2-D</a>,
1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Cortese and Wan(2021)</label><mixed-citation>
      
Cortese, D. and Wan, K. Y.: Control of Helical Navigation by
Three-Dimensional Flagellar Beating, Phys. Rev. Lett., 126,
088003, <a href="https://doi.org/10.1103/PhysRevLett.126.088003" target="_blank">https://doi.org/10.1103/PhysRevLett.126.088003</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Croze et al.(2017)Croze, Bearon, and
Bees</label><mixed-citation>
      
Croze, O. A., Bearon, R. N., and Bees, M. A.: Gyrotactic swimmer dispersion in
pipe flow: testing the theory, J. Fluid Mech., 816, 481–506,
<a href="https://doi.org/10.1017/jfm.2017.90" target="_blank">https://doi.org/10.1017/jfm.2017.90</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Davey et al.(2019)</label><mixed-citation>
      
Davey, M. P., Norman, L., Sterk, P.,  Huete-Ortega, M., Bunbury, F., Loh, B.
K. W., Stockton, S., Peck, L. S., Convey, P., Newsham, K. K., and Smith,
A. G.: Snow algae communities in Antarctica: metabolic and taxonomic
composition, New Phytol., 222, 1242–1255, <a href="https://doi.org/10.1111/nph.15701" target="_blank">https://doi.org/10.1111/nph.15701</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Détain et al.(2025)</label><mixed-citation>
      
Détain, A., Suzuki, H., Wijffels, R. H., Leborgne-Castel, N., and Hulatt,
C. J.: Snow algae exhibit diverse motile behaviors and thermal responses,
mBio,  e02954-24, <a href="https://doi.org/10.1128/mbio.02954-24" target="_blank">https://doi.org/10.1128/mbio.02954-24</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>De Vrese et al.(2021)De Vrese, Stacke, Caves Rugenstein, Goodman, and
Brovkin</label><mixed-citation>
      
De Vrese, P., Stacke, T., Caves Rugenstein, J., Goodman, J., and Brovkin, V.:
Snowfall-albedo feedbacks could have led to deglaciation of snowball Earth
starting from mid-latitudes, Commun. Earth Environ., 2, 91,
<a href="https://doi.org/10.1038/s43247-021-00160-4" target="_blank">https://doi.org/10.1038/s43247-021-00160-4</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>de Vries et al.(2026a)</label><mixed-citation>
      
de Vries,  C. S.: A diagram of water channels within a snowpack, where L1&thinsp; &lt; &thinsp;L2. Water flowing in the narrower channel (L1) has a shorter viscous diffusion timescale than water flowing in the wider channel (L2), <a href="https://BioRender.com/1oc2605" target="_blank"/> (last access: 5 August 2026), 2026a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>de Vries et al.(2026b)</label><mixed-citation>
      
de Vries,  C. S.: Orientation A: A visualisation of a Chlamydomonas sp. cell swimming in a helical motion, oriented in a direction adjacent to a light source. As the cell swims helically (Cortese and Wan, 2021), the cell’s singular eyespot rotates and perceives a sinusoidally varying light signal. Orientation B: A visualisation of a Chlamydomonas sp. cell swimming in a helical motion oriented towards a light source. The cell’s singular eyespot experiences continuous, direct exposure to the light source. The time elapsed between orientation A and B is a few seconds (Choudhary et al., 2025; Goldstein, 2015). The time elapsed between orientation scenario A and B is negligible, otherwise one would see an increase in light intensity, <a href="https://BioRender.com/r06ua93" target="_blank"/> (last access: 5 August 2026), 2026b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>de Vries et al.(2026c)</label><mixed-citation>
      
de Vries,  C. S.: A visualisation (not to scale) of snow algae navigating through a subsection of a snowpack with a chemical gradient present, denoted by ∇C, caused by a source at the top of the snowpack, exhibiting positive chemotaxis as they swim towards the nutrient source in the direction of the gradient’s increase, <a href="https://BioRender.com/inc0hfl" target="_blank"/> (last access: 5 August 2026), 2026c.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>de Vries et al.(2026d)</label><mixed-citation>
      
de Vries,  C. S.: A two-dimensional (for simplicity) visualisation of change in orientation of a Chlamydomonas sp. cell due to gravitaxis and flow of surrounding medium. The diagram on the left represents pure gravitaxis: the cell body is reoriented by a torque Tg due to gravity and a resistive viscous torque Tv. B represents the characteristic reorientation time scale due to graviatxis, <sup><mo>∧</mo></sup>p is a unit vector pointing in the direction of the cell’s current orientation, k is the vertical unit vector defining the preferred upward direction for negative gravitaxis by convention, corresponding in 2D to <i>θ</i> = 0. The diagram on the right represents gyrotaxis. Here the viscous torque also includes rotation by a shear flow with vorticity <i>ω</i>. The prefereed orientation is now at an angle, <i>θ</i> = <i>θ</i>c, to the vertical, <a href="https://BioRender.com/duylke2" target="_blank"/> (last access: 5 August 2026), 2026d.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Desai and Ardekani(2017)</label><mixed-citation>
      
Desai, N. and Ardekani, A. M.: Modeling of active swimmer suspensions and their
interactions with the environment, Soft Matter, 13, 6033–6050,
<a href="https://doi.org/10.1039/C7SM00766C" target="_blank">https://doi.org/10.1039/C7SM00766C</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Duval et al.(1999)Duval, Shetty, and
Thomas</label><mixed-citation>
      
Duval, B., Shetty, K., and Thomas, W. H.: Phenolic compounds and antioxidant
properties in the snow alga <i>Chlamydomonas nivalis</i> after exposure
to UV light, J. Appl. Phycol., 11, 559–566,
<a href="https://doi.org/10.1023/A:1008178208949" target="_blank">https://doi.org/10.1023/A:1008178208949</a>, 1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Ebbens and Gregory(2018)</label><mixed-citation>
      
Ebbens, S. J. and Gregory, D. A.: Catalytic janus colloids: controlling
trajectories of chemical microswimmers, Accounts Chem. Res., 51,
1931–1939, <a href="https://doi.org/10.1021/acs.accounts.8b00243" target="_blank">https://doi.org/10.1021/acs.accounts.8b00243</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Elgeti et al.(2015)Elgeti, Winkler, and
Gompper</label><mixed-citation>
      
Elgeti, J., Winkler, R. G., and Gompper, G.: Physics of microswimmers – single
particle motion and collective behavior: A review, Rep. Prog.
Phys., 78, 056601, <a href="https://doi.org/10.1088/0034-4885/78/5/056601" target="_blank">https://doi.org/10.1088/0034-4885/78/5/056601</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Engstrom et al.(2024)Engstrom, Raymond, Albeitshawish, Bogdanovic,
and Quarmby</label><mixed-citation>
      
Engstrom, C. B., Raymond, B. B., Albeitshawish, J., Bogdanovic, A., and
Quarmby, L. M.: <i>Rosetta</i> gen. nov. (<i>Chlorophyta</i>):
Resolving the identity of red snow algal rosettes, J. Phycol.,
60, 275–298, <a href="https://doi.org/10.1111/jpy.13438" target="_blank">https://doi.org/10.1111/jpy.13438</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Ermilova et al.(2007)</label><mixed-citation>
      
Ermilova, E. V., Nikitin, M. M., and Fernández, E.: Chemotaxis to
ammonium/methylammonium in Chlamydomonas reinhardtii: the role of transport
systems for ammonium/methylammonium, Planta, 226, 1323–1332,
<a href="https://doi.org/10.1007/s00425-007-0568-1" target="_blank">https://doi.org/10.1007/s00425-007-0568-1</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Ezzedine et al.(2023)</label><mixed-citation>
      
Ezzedine, J. A., Uwizeye, C., Si Larbi, G., Villain, G., Louwagie, M.,
Schilling, M., Hagenmuller, P., Gallet, B., Stewart, A., Petroutsos, D.,
Devime, F., Salze, P., Liger, L., Jouhet, J., Dumont, M., Ravanel, S., Amato,
A., Valay, J.-G., Jouneau, P.-H., Falconet, D., and Maréchal, E.: Adaptive
traits of cysts of the snow alga <i>Sanguina nivaloides</i> unveiled by
3D subcellular imaging, Nat. Commun., 14, 7500,
<a href="https://doi.org/10.1038/s41467-023-43030-7" target="_blank">https://doi.org/10.1038/s41467-023-43030-7</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Foster and Smyth(1980)</label><mixed-citation>
      
Foster, K. W. and Smyth, R. D.: Light antennas in phototactic algae,
Microbiol. Rev., 44, 572–630, <a href="https://doi.org/10.1128/mr.44.4.572-630.1980" target="_blank">https://doi.org/10.1128/mr.44.4.572-630.1980</a>,
1980.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Freund et al.(2012)Freund, Goetz, Hill, and
Vermot</label><mixed-citation>
      
Freund, J. B., Goetz, J. G., Hill, K. L., and Vermot, J.: Fluid flows and
forces in development: functions, features and biophysical principles,
Development, 139, 1229–1245, <a href="https://doi.org/10.1242/dev.073593" target="_blank">https://doi.org/10.1242/dev.073593</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Gálvez et al.(2021)</label><mixed-citation>
      
Gálvez, F. E., Saldarriaga-Córdoba, M., Huovinen, P., Silva, A. X., and
Gómez, I.: Revealing the characteristics of the Antarctic snow alga
<i>Chlorominima collina</i> gen. et sp. nov. through taxonomy,
physiology, and transcriptomics, Front. Plant Sci., 12, 662298,
<a href="https://doi.org/10.3389/fpls.2021.662298" target="_blank">https://doi.org/10.3389/fpls.2021.662298</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Ganey et al.(2017)Ganey, Loso, Burgess, and
Dial</label><mixed-citation>
      
Ganey, G. Q., Loso, M. G., Burgess, A. B., and Dial, R. J.: The role of
microbes in snowmelt and radiative forcing on an Alaskan icefield, Nat.
Geosci., 10, 754–759, <a href="https://doi.org/10.1038/ngeo3027" target="_blank">https://doi.org/10.1038/ngeo3027</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Ganguly et al.(2023)Ganguly, Alessio, and
Gupta</label><mixed-citation>
      
Ganguly, A., Alessio, B. M., and Gupta, A.: Diffusiophoresis: a novel transport
mechanism – fundamentals, applications, and future opportunities, Frontiers
in Sensors, 4, 1322906, <a href="https://doi.org/10.3389/fsens.2023.1322906" target="_blank">https://doi.org/10.3389/fsens.2023.1322906</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Goldstein(2015)</label><mixed-citation>
      
Goldstein, R. E.: Green algae as model organisms for biological fluid dynamics,
Annu. Rev. Fluid Mech., 47, 343–375,
<a href="https://doi.org/10.1146/annurev-fluid-010313-141426" target="_blank">https://doi.org/10.1146/annurev-fluid-010313-141426</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Gonzalez et al.(2026)Gonzalez, Grigg, Thomas, Thomson, MacPherson,
Dillon, Gober, Smith, Cockell, Convey, and
Davey</label><mixed-citation>
      
Gonzalez, C. R., Grigg, V., Thomas, N., Thomson, A. I., MacPherson, E., Dillon,
L., Gober, E., Smith, A. G., Cockell, C., Convey, P., and Davey, M. P.:
Antarctic snow algal responses to temperature – potential implications of
climate change, Sustainable Microbiology, 3, qvag023,
<a href="https://doi.org/10.1093/sumbio/qvag023" target="_blank">https://doi.org/10.1093/sumbio/qvag023</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Wakahama(1968)</label><mixed-citation>
      
Wakahama, G.: The metamorphism of wet snow, in: General Assembly of Bern
1967 – Snow and Ice, vol. 79 of International Association of
Scientific Hydrology Publication,  370–379, <a href="https://iahs.info/uploads/dms/079035.pdf" target="_blank"/> (last access: 24 September 2026), 1968.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Gorton et al.(2007)Gorton, Williams, and
Vogelmann</label><mixed-citation>
      
Gorton, H. L., Williams, W. E., and Vogelmann, T. C.: The Light Environment
and Cellular Optics of the Snow Alga Chlamydomonas nivalis
(Bauer) Wille, Photochem. Photobiol., 73, 611–620,
<a href="https://doi.org/10.1562/0031-8655(2001)0730611TLEACO2.0.CO2" target="_blank">https://doi.org/10.1562/0031-8655(2001)0730611TLEACO2.0.CO2</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Govorunova and
Sineshchekov(2005)</label><mixed-citation>
      
Govorunova, E. G. and Sineshchekov, O. A.: Chemotaxis in the green flagellate
alga <i>Chlamydomonas</i>, Biochemistry (Moscow), 70, 717–725,
<a href="https://doi.org/10.1007/s10541-005-0176-2" target="_blank">https://doi.org/10.1007/s10541-005-0176-2</a>, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Gray et al.(2020)Gray, Krolikowski, Fretwell, Convey, Peck,
Mendelova, Smith, and Davey</label><mixed-citation>
      
Gray, A., Krolikowski, M., Fretwell, P., Convey, P., Peck, L. S., Mendelova,
M., Smith, A. G., and Davey, M. P.: Remote sensing reveals Antarctic green
snow algae as important terrestrial carbon sink, Nat. Commun., 11,
2527, <a href="https://doi.org/10.1038/s41467-020-16018-w" target="_blank">https://doi.org/10.1038/s41467-020-16018-w</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Grinde(1983)</label><mixed-citation>
      
Grinde, B.: Vertical distribution of the snow alga <i>Chlamydomonas
nivalis</i> (<i>Chlorophyta</i>, <i>Volvocales</i>), Polar Biol., 2,
159–162, <a href="https://doi.org/10.1007/BF00448965" target="_blank">https://doi.org/10.1007/BF00448965</a>, 1983.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Guasto et al.(2010)Guasto, Johnson, and
Gollub</label><mixed-citation>
      
Guasto, J. S., Johnson, K. A., and Gollub, J. P.: Measuring Oscillatory
Velocity Fields Due to Swimming Algae, arXiv [preprint],
<a href="https://doi.org/10.48550/arxiv.1010.1787" target="_blank">https://doi.org/10.48550/arxiv.1010.1787</a>,   2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Häder and
Hemmersbach(2018)</label><mixed-citation>
      
Häder, D.-P. and Hemmersbach, R.: Gravitaxis in flagellates and ciliates, in:
Gravitational Biology I,  Springer International Publishing,
Cham, 27–45, ISBN 978-3-319-93893-6 978-3-319-93894-3,
<a href="https://doi.org/10.1007/978-3-319-93894-3_3" target="_blank">https://doi.org/10.1007/978-3-319-93894-3_3</a>,   2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Häder and Häder(1989)</label><mixed-citation>
      
Häder, D.-P. and Häder, M. A.: Effects of solar u.v.-B irradiation on
photomovement and motility in photosynthetic and colorless flagellates,
Environ. Exp. Bot., 29, 273–282,
<a href="https://doi.org/10.1016/0098-8472(89)90059-2" target="_blank">https://doi.org/10.1016/0098-8472(89)90059-2</a>, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Häder and Lebert(2001)</label><mixed-citation>
      
Häder, D.-P. and Lebert, M.: Graviperception and gravitaxis in algae, Adv. Space Res., 27, 861–870, <a href="https://doi.org/10.1016/S0273-1177(01)00149-1" target="_blank">https://doi.org/10.1016/S0273-1177(01)00149-1</a>, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Häder et al.(2017)</label><mixed-citation>
      
Häder, D.-P., Braun, M., Grimm, D., and Hemmersbach, R.: Gravireceptors in
eukaryotes – a comparison of case studies on the cellular level, npj
Microgravity, 3, 13, <a href="https://doi.org/10.1038/s41526-017-0018-8" target="_blank">https://doi.org/10.1038/s41526-017-0018-8</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Hill and Häder(1997)</label><mixed-citation>
      
Hill, N. and Häder, D.-P.: A biased random walk model for the trajectories of
swimming micro-organisms, J. Theor. Biol., 186, 503–526,
<a href="https://doi.org/10.1006/jtbi.1997.0421" target="_blank">https://doi.org/10.1006/jtbi.1997.0421</a>, 1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Hoham(1975)</label><mixed-citation>
      
Hoham, R. W.: Optimum Temperatures and Temperature Ranges for Growth of
Snow Algae, Arct. Alp. Res., 7, 13–24,
<a href="https://doi.org/10.1080/00040851.1975.12003805" target="_blank">https://doi.org/10.1080/00040851.1975.12003805</a>, 1975.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Hoham and Duval(2001)</label><mixed-citation>
      
Hoham, R. W. and Duval, B.: Snow ecology: an interdisciplinary examination of
snow-covered ecosystems, in: Snow Ecology: An Interdisciplinary
Examination of Snow-Covered Ecosystems,  Cambridge
University Press, Cambridge, 168–228,  ISBN13: 9780521188890, ISBN10: 052118889X, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Hoham and Ling(2000)</label><mixed-citation>
      
Hoham, R. W. and Ling, H. U.: Snow Algae: The Effects of Chemical and
Physical Factors on Their Life Cycles and Populations, in:
Journey to Diverse Microbial Worlds, edited by Seckbach, J.,
Springer Netherlands, Dordrecht, 131–145, ISBN 978-94-010-5850-6
978-94-011-4269-4, <a href="https://doi.org/10.1007/978-94-011-4269-4_10" target="_blank">https://doi.org/10.1007/978-94-011-4269-4_10</a>, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Hoham and Mullet(1977)</label><mixed-citation>
      
Hoham, R. W. and Mullet, J. E.: The life history and ecology of the snow alga
Chloromonas cryophila sp. nov. (Chlorophyta, Volvocales), Phycologia,
16, 53–68, <a href="https://doi.org/10.2216/i0031-8884-16-1-53.1" target="_blank">https://doi.org/10.2216/i0031-8884-16-1-53.1</a>, 1977.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Hoham and Remias(2020)</label><mixed-citation>
      
Hoham, R. W. and Remias, D.: Snow and glacial algae: A review, J.
Phycol., 56, 264–282, <a href="https://doi.org/10.1111/jpy.12952" target="_blank">https://doi.org/10.1111/jpy.12952</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Horst and Witman(1993)</label><mixed-citation>
      
Horst, C. J. and Witman, G. B.: ptx1, a nonphototactic mutant of
<i>Chlamydomonas</i>, lacks control of flagellar dominance,   J.
Cell Biol., 120, 733–741, <a href="https://doi.org/10.1083/jcb.120.3.733" target="_blank">https://doi.org/10.1083/jcb.120.3.733</a>, 1993.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Hulatt et al.(2017)Hulatt, Berecz, Egeland, Wijffels, and
Kiron</label><mixed-citation>
      
Hulatt, C. J., Berecz, O., Egeland, E. S., Wijffels, R. H., and Kiron, V.:
Corrigendum to “polar snow algae as a valuable source of lipids?”,
Bioresource Technol., 241, 1208, <a href="https://doi.org/10.1016/j.biortech.2017.06.119" target="_blank">https://doi.org/10.1016/j.biortech.2017.06.119</a>,
2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Ishikawa et al.(2025)Ishikawa, Sato, Omori, and
Yoshimura</label><mixed-citation>
      
Ishikawa, T., Sato, K., Omori, T., and Yoshimura, K.: Physics of microbial
taxis and behaviours in response to various physical stimuli, Philos.
T. R. Soc. A, 383, 20240264, <a href="https://doi.org/10.1098/rsta.2024.0264" target="_blank">https://doi.org/10.1098/rsta.2024.0264</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Ishizaka(1993)</label><mixed-citation>
      
Ishizaka, M.: An accurate measurement of densities of snowflakes using 3-D
microphotographs, Ann. Glaciol., 18, 92–96,
<a href="https://doi.org/10.3189/S0260305500011319" target="_blank">https://doi.org/10.3189/S0260305500011319</a>, 1993.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Jékely(2009)</label><mixed-citation>
      
Jékely, G.: Evolution of phototaxis, Philos. T. R.
Soc. B, 364, 2795–2808,
<a href="https://doi.org/10.1098/rstb.2009.0072" target="_blank">https://doi.org/10.1098/rstb.2009.0072</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Kam et al.(1999)Kam, Moseyko, Nemson, and
Feldman</label><mixed-citation>
      
Kam, V., Moseyko, N., Nemson, J., and Feldman, L. J.: Gravitaxis in
<i>Chlamydomonas reinhardtii</i> : characterization using video
microscopy and computer analysis, Int. J. Plant Sci.,
160, 1093–1098, <a href="https://doi.org/10.1086/314205" target="_blank">https://doi.org/10.1086/314205</a>, 1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Kessler(1985)</label><mixed-citation>
      
Kessler, J. O.: Hydrodynamic focusing of motile algal cells, Nature, 313,
218–220, <a href="https://doi.org/10.1038/313218a0" target="_blank">https://doi.org/10.1038/313218a0</a>, 1985.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Khan et al.(2021)Khan, Dierssen, Scambos, HÃ¶fer, and
Cordero</label><mixed-citation>
      
Khan, A. L., Dierssen, H. M., Scambos, T. A., Höfer, J., and Cordero, R. R.: Spectral characterization, radiative forcing and pigment content of coastal Antarctic snow algae: approaches to spectrally discriminate red and green communities and their impact on snowmelt, The Cryosphere, 15, 133–148, <a href="https://doi.org/10.5194/tc-15-133-2021" target="_blank">https://doi.org/10.5194/tc-15-133-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>Kreimer(2009)</label><mixed-citation>
      
Kreimer, G.: The green algal eyespot apparatus: a primordial visual system and
more?, Curr. Genet., 55, 19–43, <a href="https://doi.org/10.1007/s00294-008-0224-8" target="_blank">https://doi.org/10.1007/s00294-008-0224-8</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>Kvíderová(2010)</label><mixed-citation>
      
Kvíderová, J.: Characterization of the Community of Snow Algae and
Their Photochemical Performance <i>in situ</i> in the Giant
Mountains, Czech Republic, Arct. Antarct. Alp. Res., 42,
210–218, <a href="https://doi.org/10.1657/1938-4246-42.2.210" target="_blank">https://doi.org/10.1657/1938-4246-42.2.210</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>Latta Iv et al.(2009)Latta Iv, O'Donnell, and
Pfrender</label><mixed-citation>
      
Latta Iv, L. C., O'Donnell, R. P., and Pfrender, M. E.: Vertical distribution
of <i>Chlamydomonas</i> changes in response to grazer and predator
kairomones, Oikos, 118, 853–858, <a href="https://doi.org/10.1111/j.1600-0706.2009.17352.x" target="_blank">https://doi.org/10.1111/j.1600-0706.2009.17352.x</a>,
2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>Leya(2022)</label><mixed-citation>
      
Leya, T.: The CCCryo Culture Collection of Cryophilic Algae as a
valuable bioresource for algal biodiversity and for novel, industrially
marketable metabolites, Appl. Phycol., 3, 167–188,
<a href="https://doi.org/10.1080/26388081.2020.1753572" target="_blank">https://doi.org/10.1080/26388081.2020.1753572</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>Leya et al.(2009)</label><mixed-citation>
      
Leya, T., Rahn, A., Lütz, C., and Remias, D.: Response of arctic snow and
permafrost algae to high light and nitrogen stress by changes in pigment
composition and applied aspects for biotechnology: Pigment change in snow
algae, FEMS Microbiol. Ecol., 67, 432–443,
<a href="https://doi.org/10.1111/j.1574-6941.2008.00641.x" target="_blank">https://doi.org/10.1111/j.1574-6941.2008.00641.x</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>Liang et al.(2025)Liang, Zhang, Cheng, Zhu, Liu, Bashir, Kong, and
Kong</label><mixed-citation>
      
Liang, D., Zhang, L., Cheng, Q., Zhu, Q., Liu, Y., Bashir, B., Kong, W., and
Kong, L.: Seasonal cycles of snow algal blooms intensify surface melting on
Antarctic ice shelves, Sci. Rep., 15, 23139,
<a href="https://doi.org/10.1038/s41598-025-05129-3" target="_blank">https://doi.org/10.1038/s41598-025-05129-3</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>Libbrecht(2001)</label><mixed-citation>
      
Libbrecht, K. G.: Morphogenesis on ice: The physics of snow crystals,
Engineering and Science, 64.1, 10–19, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>Libbrecht(2019)</label><mixed-citation>
      
Libbrecht, K. G.: A quantitative physical model of the snow crystal morphology
diagram, arXiv [preprint], <a href="https://doi.org/10.48550/arxiv.1910.09067" target="_blank">https://doi.org/10.48550/arxiv.1910.09067</a>,   2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>Liu et al.(2020)Liu, Wu, and
Zeng</label><mixed-citation>
      
Liu, F., Wu, Y., and Zeng, L.: Swimming characteristics of
<i>Chlamydomonas reinhardtii</i>, J. Coastal Res., 104,
<a href="https://doi.org/10.2112/JCR-SI104-081.1" target="_blank">https://doi.org/10.2112/JCR-SI104-081.1</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>Lutz et al.(2016)Lutz, Anesio, Raiswell, Edwards, Newton, Gill, and
Benning</label><mixed-citation>
      
Lutz, S., Anesio, A. M., Raiswell, R., Edwards, A., Newton, R. J., Gill, F.,
and Benning, L. G.: The biogeography of red snow microbiomes and their role
in melting arctic glaciers, Nat. Commun., 7, 11968,
<a href="https://doi.org/10.1038/ncomms11968" target="_blank">https://doi.org/10.1038/ncomms11968</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>Maccario et al.(2015)Maccario, Sanguino, Vogel, and
Larose</label><mixed-citation>
      
Maccario, L., Sanguino, L., Vogel, T. M., and Larose, C.: Snow and ice
ecosystems: not so extreme, Res. Microbiol., 166, 782–795,
<a href="https://doi.org/10.1016/j.resmic.2015.09.002" target="_blank">https://doi.org/10.1016/j.resmic.2015.09.002</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>Marshall(2024)</label><mixed-citation>
      
Marshall, W. F.: Chlamydomonas as a model system to study cilia and flagella
using genetics, biochemistry, and microscopy, Frontiers in Cell and
Developmental Biology, 12, 1412641, <a href="https://doi.org/10.3389/fcell.2024.1412641" target="_blank">https://doi.org/10.3389/fcell.2024.1412641</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>Matsumoto et al.(2024)</label><mixed-citation>
      
Matsumoto, M., Hanneman, C., Camara, A. G., Krueger-Hadfield, S. A.,
Hamilton, T. L., and Kodner, R. B.: Hypothesized life cycle of the snow algae Chlainomonas sp. (<i>Chlamydomonadales</i>, Chlorophyta) from the Cascade Mountains, USA,
Journal of Phycology, 60, 724–740, <a href="https://doi.org/10.1111/jpy.13454" target="_blank">https://doi.org/10.1111/jpy.13454</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>Matsuzaki et al.(2015)Matsuzaki, Kawai-Toyooka, Hara, and
Nozaki</label><mixed-citation>
      
Matsuzaki, R., Kawai-Toyooka, H., Hara, Y., and Nozaki, H.: Revisiting the
taxonomic significance of aplanozygote morphologies of two cosmopolitan snow
species of the genus <i>Chloromonas</i> (<i>Volvocales</i>,
<i>Chlorophyceae</i> ), Phycologia, 54, 491–502, <a href="https://doi.org/10.2216/15-33.1" target="_blank">https://doi.org/10.2216/15-33.1</a>,
2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>Matsuzaki et al.(2019)Matsuzaki, Nozaki, Takeuchi, Hara, and
Kawachi</label><mixed-citation>
      
Matsuzaki, R., Nozaki, H., Takeuchi, N., Hara, Y., and Kawachi, M.: Taxonomic
re-examination of “<i>Chloromonas nivalis</i> (<i>Volvocales</i>,
<i>Chlorophyceae</i>) zygotes” from Japan and description of
<i>C. muramotoi</i> sp. nov., Plos One, 14, e0210986,
<a href="https://doi.org/10.1371/journal.pone.0210986" target="_blank">https://doi.org/10.1371/journal.pone.0210986</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>Mätzler(2002)</label><mixed-citation>
      
Mätzler, C.: Relation between grain-size and correlation length of snow,
J. Glaciol., 48, 461–466, <a href="https://doi.org/10.3189/172756502781831287" target="_blank">https://doi.org/10.3189/172756502781831287</a>, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>McCutcheon(1946)</label><mixed-citation>
      
McCutcheon, M.: Chemotaxis in leukocytes, Physiol. Rev., 26, 319–336,
<a href="https://doi.org/10.1152/physrev.1946.26.3.319" target="_blank">https://doi.org/10.1152/physrev.1946.26.3.319</a>, 1946.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>Meiners et al.(2003)Meiners, Gradinger, Fehling, Civitarese, and
Spindler</label><mixed-citation>
      
Meiners, K., Gradinger, R., Fehling, J., Civitarese, G., and Spindler, M.:
Vertical distribution of exopolymer particles in sea ice of the Fram
Strait (Arctic) during autumn, Mar. Ecol. Prog. Ser., 248,
1–13, <a href="https://doi.org/10.3354/meps248001" target="_blank">https://doi.org/10.3354/meps248001</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>Mitchell et al.(2005)Mitchell, Pedersen, Feely, Rosenbaum, and
Mitchell</label><mixed-citation>
      
Mitchell, B. F., Pedersen, L. B., Feely, M., Rosenbaum, J. L., and Mitchell,
D. R.: ATP Production in <i>Chlamydomonas reinhardtii</i> flagella by
glycolytic enzymes, Mol. Biol. Cell, 16, 4509–4518,
<a href="https://doi.org/10.1091/mbc.e05-04-0347" target="_blank">https://doi.org/10.1091/mbc.e05-04-0347</a>, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>Morel-Laurens and
Feinleib(1983)</label><mixed-citation>
      
Morel-Laurens, N. M. L. and Feinleib, M. E.: PHOTOMOVEMENT IN AN
“EYELESS” MUTANT OF Chlamydomonas, Photochem.
Photobiol., 37, 189–194, <a href="https://doi.org/10.1111/j.1751-1097.1983.tb04457.x" target="_blank">https://doi.org/10.1111/j.1751-1097.1983.tb04457.x</a>, 1983.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>Moyer et al.(2017)Moyer, Eric Collins, and
Morita</label><mixed-citation>
      
Moyer, C. L., Eric Collins, R., and Morita, R. Y.: Psychrophiles and
psychrotrophs, in: Reference Module in Life Sciences, Elsevier, ISBN
978-0-12-809633-8, <a href="https://doi.org/10.1016/B978-0-12-809633-8.02282-2" target="_blank">https://doi.org/10.1016/B978-0-12-809633-8.02282-2</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>Nelson et al.(2023)Nelson, Strain, Isu, Rahnama, Wakabayashi, Melvin,
and Kato</label><mixed-citation>
      
Nelson, G., Strain, A., Isu, A., Rahnama, A., Wakabayashi, K.-i., Melvin,
A. T., and Kato, N.: Cells collectively migrate during ammonium chemotaxis in
<i>Chlamydomonas reinhardtii</i>, Sci. Rep., 13, 10781,
<a href="https://doi.org/10.1038/s41598-023-36818-6" target="_blank">https://doi.org/10.1038/s41598-023-36818-6</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>Novis et al.(2008)Novis, Hoham, Beer, and
Dawson</label><mixed-citation>
      
Novis, P. M., Hoham, R. W., Beer, T., and Dawson, M.: TWO SNOW SPECIES
OF THE QUADRIFLAGELLATE GREEN ALGA <i>CHLAINOMONAS</i>
(CHLOROPHYTA, VOLVOCALES): ULTRASTRUCTURE AND PHYLOGENETIC
POSITION WITHIN THE CHLOROMONAS CLADE, J.
Phycol., 44, 1001–1012, <a href="https://doi.org/10.1111/j.1529-8817.2008.00545.x" target="_blank">https://doi.org/10.1111/j.1529-8817.2008.00545.x</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>Novis et al.(2024)Novis, Kodner, Podolyan, and
Leya</label><mixed-citation>
      
Novis, P. M., Kodner, R. B., Podolyan, A., and Leya, T.: <i>Chloromonas
fuhrii sp. nov</i>. (Chlorophyceae), a cosmopolitan alga from colored snow,
Phycologia, 63, 211–224, <a href="https://doi.org/10.1080/00318884.2024.2313780" target="_blank">https://doi.org/10.1080/00318884.2024.2313780</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>Novoveská et al.(2019)NovoveskÃ¡, Ross, Stanley, Pradelles,
Wasiolek, and Sassi</label><mixed-citation>
      
Novoveská, L., Ross, M. E., Stanley, M. S., Pradelles, R., Wasiolek, V., and
Sassi, J.-F.: Microalgal carotenoids: a review of production, current
markets, regulations, and future direction, Mar. Drugs, 17, 640,
<a href="https://doi.org/10.3390/md17110640" target="_blank">https://doi.org/10.3390/md17110640</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>Ono and Takeuchi(2025)</label><mixed-citation>
      
Ono, M. and Takeuchi, N.: The diel vertical migration of microbes within
snowpacks driven by solar radiation and nutrients, Arct. Antarct.
Alp. Res., 57, 2460253, <a href="https://doi.org/10.1080/15230430.2025.2460253" target="_blank">https://doi.org/10.1080/15230430.2025.2460253</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>Ono et al.(2021)Ono, Takeuchi, and
Zawierucha</label><mixed-citation>
      
Ono, M., Takeuchi, N., and Zawierucha, K.: Snow algae blooms are beneficial for
microinvertebrates assemblages (Tardigrada and Rotifera) on seasonal snow
patches in Japan, Sci. Rep., 11, 5973,
<a href="https://doi.org/10.1038/s41598-021-85462-5" target="_blank">https://doi.org/10.1038/s41598-021-85462-5</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>Othmer et al.(2013)Othmer, Xin, and
Xue</label><mixed-citation>
      
Othmer, H., Xin, X., and Xue, C.: Excitation and Adaptation in Bacteria – a
Model Signal Transduction System that Controls Taxis and
Spatial Pattern Formation, Int. J. Mol. Sci.,
14, 9205–9248, <a href="https://doi.org/10.3390/ijms14059205" target="_blank">https://doi.org/10.3390/ijms14059205</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>O'Malley and
Bees(2012)</label><mixed-citation>
      
O'Malley, S. and Bees, M. A.: The Orientation of Swimming Biflagellates
in Shear Flows, B. Math. Biol., 74, 232–255,
<a href="https://doi.org/10.1007/s11538-011-9673-1" target="_blank">https://doi.org/10.1007/s11538-011-9673-1</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib100"><label>Pedley(2026)</label><mixed-citation>
      
Pedley, T.: Continuum or individual models for suspensions of swimming
micro-organisms?, Eur. J. Mech.-B Fluids, 118, 204484,
<a href="https://doi.org/10.1016/j.euromechflu.2026.204484" target="_blank">https://doi.org/10.1016/j.euromechflu.2026.204484</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib101"><label>Pedley and Kessler(1990)</label><mixed-citation>
      
Pedley, T. J. and Kessler, J. O.: A new continuum model for suspensions of
gyrotactic micro-organisms, J. Fluid Mech., 212, 155–182,
<a href="https://doi.org/10.1017/S0022112090001914" target="_blank">https://doi.org/10.1017/S0022112090001914</a>, 1990.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib102"><label>Pedley and
Kessler(1992)</label><mixed-citation>
      
Pedley, T. J. and Kessler, J. O.: Hydrodynamic phenomena in suspensions of
swimming microorganisms, Annu. Rev. Fluid Mech., 24, 313–358,
<a href="https://doi.org/10.1146/annurev.fl.24.010192.001525" target="_blank">https://doi.org/10.1146/annurev.fl.24.010192.001525</a>, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib103"><label>Pivato and
Ballottari(2021)</label><mixed-citation>
      
Pivato, M. and Ballottari, M.: <i>Chlamydomonas reinhardtii</i> cellular
compartments and their contribution to intracellular calcium signalling,
J. Exp. Bot., 72, 5312–5335, <a href="https://doi.org/10.1093/jxb/erab212" target="_blank">https://doi.org/10.1093/jxb/erab212</a>,
2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib104"><label>Platt(1961)</label><mixed-citation>
      
Platt, J. R.: “Bioconvection patterns” in cultures of free-swimming
organisms, Science, 133, 1766–1767, <a href="https://doi.org/10.1126/science.133.3466.1766" target="_blank">https://doi.org/10.1126/science.133.3466.1766</a>,
1961.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib105"><label>Prakash and
Croze(2021)</label><mixed-citation>
      
Prakash, P. and Croze, O. A.: Photogyrotactic concentration of a population of
swimming microalgae across a porous layer, Frontiers in Physics, 9, 744428,
<a href="https://doi.org/10.3389/fphy.2021.744428" target="_blank">https://doi.org/10.3389/fphy.2021.744428</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib106"><label>Procházková et al.(2019)</label><mixed-citation>
      
Procházková, L., Leya, T., Křížková, H., and Nedbalová, L.:
<i>Sanguina nivaloides</i> and <i>Sanguina aurantia</i> gen. et spp.
nov. (<i>Chlorophyta</i>): the taxonomy, phylogeny, biogeography and
ecology of two newly recognised algae causing red and orange snow, FEMS
Microbiol. Ecol., 95, fiz064, <a href="https://doi.org/10.1093/femsec/fiz064" target="_blank">https://doi.org/10.1093/femsec/fiz064</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib107"><label>Procházková et al.(2020)</label><mixed-citation>
      
Procházková,, L., Remias, D., Bilger, W., Krǐžková, H., Řezanka, T., and
Nedbalová, L.: Cysts of the snow alga <i>Chloromonas krienitzii</i>
(<i>Chlorophyceae</i>) show increased tolerance to ultraviolet radiation
and elevated visible light, Front. Plant Sci., 11, 617250,
<a href="https://doi.org/10.3389/fpls.2020.617250" target="_blank">https://doi.org/10.3389/fpls.2020.617250</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib108"><label>Procházková et al.(2023)</label><mixed-citation>
      
Procházková, L., Matsuzaki, R., Řezanka, T., Nedbalová, L., and Remias, D.:
The snow alga <i>Chloromonas kaweckae</i> sp. nov. (Volvocales,
Chlorophyta) causes green surface blooms in the high tatras (Slovakia)
and tolerates high irradiance, J. Phycol., 59, 236–248,
<a href="https://doi.org/10.1111/jpy.13307" target="_blank">https://doi.org/10.1111/jpy.13307</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib109"><label>Procházková et al.(2026)</label><mixed-citation>
      
Procházková, L., Andersen, R. A., Leya, T., Řezanka, T., Lukeš, M.,
Nedbalová, L., and Remias, D.: Novel <i>Hydrurus</i> species
(Chrysophyceae) and their adaptations to high-altitude European and
Arctic snowfields, J. Phycol., 62, 818–845,
<a href="https://doi.org/10.1111/jpy.70162" target="_blank">https://doi.org/10.1111/jpy.70162</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib110"><label>Raymond et al.(2022)Raymond, Engstrom, and
Quarmby</label><mixed-citation>
      
Raymond, B. B., Engstrom, C. B., and Quarmby, L. M.: The underlying green
biciliate morphology of the orange snow alga Sanguina aurantia, Curr.
Biol., 32, 934–936, <a href="https://doi.org/10.1016/j.cub.2022.02.030" target="_blank">https://doi.org/10.1016/j.cub.2022.02.030</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib111"><label>Raymond et al.(2024)Raymond, Guenzi-Tiberi, MarÃ©chal, and
Quarmby</label><mixed-citation>
      
Raymond, B. B., Guenzi-Tiberi, P., Maréchal, E., and Quarmby, L. M.: Snow alga
<i>Sanguina aurantia</i> as revealed through de novo genome assembly and
annotation, G3: Genes, Genomes, Genetics,   jkae181,
<a href="https://doi.org/10.1093/g3journal/jkae181" target="_blank">https://doi.org/10.1093/g3journal/jkae181</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib112"><label>Raymond and
Morgan-Kiss(2017)</label><mixed-citation>
      
Raymond, J. A. and Morgan-Kiss, R.: Multiple ice-binding proteins of probable prokaryotic origin in an Antarctic lake alga, <i>Chlamydomonas</i> sp. ICE-MDV (Chlorophyceae), J. Phycol., 53, 848–854,
<a href="https://doi.org/10.1111/jpy.12550" target="_blank">https://doi.org/10.1111/jpy.12550</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib113"><label>Rea and Dial(2024)</label><mixed-citation>
      
Rea, M. E. and Dial, R. J.: An experimental assessment of active and passive
dispersal of red snow algae on the Harding Icefield, southcentral
Alaska, Arct. Antarct.  Alp. Res., 56, 2370905,
<a href="https://doi.org/10.1080/15230430.2024.2370905" target="_blank">https://doi.org/10.1080/15230430.2024.2370905</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib114"><label>Remias et al.(2005)</label><mixed-citation>
      
Remias, D., Lütz-Meindl, U., and Lütz, C.: Photosynthesis, pigments and
ultrastructure of the alpine snow alga <i>Chlamydomonas nivalis</i>,
Eur. J. Phycol., 40, 259–268, <a href="https://doi.org/10.1080/09670260500202148" target="_blank">https://doi.org/10.1080/09670260500202148</a>,
2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib115"><label>Remias et al.(2020)</label><mixed-citation>
      
Remias, D., Procházková, L., Nedbalová, L., Andersen, R. A., and Valentin,
K.: Two New <i>Kremastochrysopsis</i> species, <i>K. austriaca</i>
sp. nov. and <i>K. americana</i> sp. nov.
(Chrysophyceae), J. Phycol., 56, 135–145,
<a href="https://doi.org/10.1111/jpy.12937" target="_blank">https://doi.org/10.1111/jpy.12937</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib116"><label>Riedel et al.(2006)Riedel, Michel, and
Gosselin</label><mixed-citation>
      
Riedel, A., Michel, C., and Gosselin, M.: Seasonal study of sea-ice
exopolymeric substances on the Mackenzie shelf: implications for transport
of sea-ice bacteria and algae, Aquat. Microb. Ecol., 45, 195–206,
<a href="https://doi.org/10.3354/ame045195" target="_blank">https://doi.org/10.3354/ame045195</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib117"><label>Roberts(2006)</label><mixed-citation>
      
Roberts, A. M.: Mechanisms of gravitaxis in <i>Chlamydomonas</i>,
Biol. Bull., 210, 78–80, <a href="https://doi.org/10.2307/4134597" target="_blank">https://doi.org/10.2307/4134597</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib118"><label>Rolland et al.(2009)Rolland, Atteia, Decottignies, Garin, Hippler,
Kreimer, Lemaire, Mittag, and Wagner</label><mixed-citation>
      
Rolland, N., Atteia, A., Decottignies, P., Garin, J., Hippler, M., Kreimer, G.,
Lemaire, S. D., Mittag, M., and Wagner, V.: <i>Chlamydomonas</i>
proteomics, Curr. Opin. Microbiol., 12, 285–291,
<a href="https://doi.org/10.1016/j.mib.2009.04.001" target="_blank">https://doi.org/10.1016/j.mib.2009.04.001</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib119"><label>Roussel et al.(2024)</label><mixed-citation>
      
Roussel, L., Dumont, M., Gascoin, S., Monteiro, D., Bavay, M., Nabat, P.,
Ezzedine, J. A., Fructus, M., Lafaysse, M., Morin, S., and Maréchal, E.:
Snowmelt duration controls red algal blooms in the snow of the European
Alps, P. Natl. Acad. Sci. USA, 121, e2400362121,
<a href="https://doi.org/10.1073/pnas.2400362121" target="_blank">https://doi.org/10.1073/pnas.2400362121</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib120"><label>Saadaoui et al.(2021)Saadaoui, Rasheed, Aguilar, Cherif, Al Jabri,
Sayadi, and Manning</label><mixed-citation>
      
Saadaoui, I., Rasheed, R., Aguilar, A., Cherif, M., Al Jabri, H., Sayadi, S.,
and Manning, S. R.: Microalgal-based feed: promising alternative feedstocks
for livestock and poultry production, J. Anim. Sci.
Biotechno., 12, 76, <a href="https://doi.org/10.1186/s40104-021-00593-z" target="_blank">https://doi.org/10.1186/s40104-021-00593-z</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib121"><label>Sandells and
Flocco(2022)</label><mixed-citation>
      
Sandells, M. and Flocco, D.: Introduction to the physics of the cryosphere,
second edn., IOP Publishing, ISBN 978-0-7503-3647-5 978-0-7503-3645-1,
<a href="https://doi.org/10.1088/978-0-7503-3647-5" target="_blank">https://doi.org/10.1088/978-0-7503-3647-5</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib122"><label>Sazaki et al.(2012)Sazaki, Zepeda, Nakatsubo, Yokomine, and
Furukawa</label><mixed-citation>
      
Sazaki, G., Zepeda, S., Nakatsubo, S., Yokomine, M., and Furukawa, Y.:
Quasi-liquid layers on ice crystal surfaces are made up of two different
phases, P. Natl. Acad. Sci. USA, 109, 1052–1055,
<a href="https://doi.org/10.1073/pnas.1116685109" target="_blank">https://doi.org/10.1073/pnas.1116685109</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib123"><label>Schoeters et al.(2022)Schoeters, Spit, Azizah, and
Van Miert</label><mixed-citation>
      
Schoeters, F., Spit, J., Azizah, R. N., and Van Miert, S.: Pilot-scale
cultivation of the snow alga <i>Chloromonas typhlos</i> in a
photobioreactor, Frontiers in Bioengineering and Biotechnology, 10, 896261,
<a href="https://doi.org/10.3389/fbioe.2022.896261" target="_blank">https://doi.org/10.3389/fbioe.2022.896261</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib124"><label>Schuler and Mikucki(2023)</label><mixed-citation>
      
Schuler, C. G. and Mikucki, J. A.: Microbial ecology and activity of snow algae
within a Pacific Northwest snowpack, Arct. Antarct. Alp.
Res., 55, 2233785, <a href="https://doi.org/10.1080/15230430.2023.2233785" target="_blank">https://doi.org/10.1080/15230430.2023.2233785</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib125"><label>Sekiguchi et al.(2018)Sekiguchi, Kameda, Kurosawa, Yoshida, and
Yoshimura</label><mixed-citation>
      
Sekiguchi, M., Kameda, S., Kurosawa, S., Yoshida, M., and Yoshimura, K.:
Thermotaxis in <i>Chlamydomonas</i> is brought about by membrane
excitation and controlled by redox conditions, Sci. Rep., 8,
16114, <a href="https://doi.org/10.1038/s41598-018-34487-4" target="_blank">https://doi.org/10.1038/s41598-018-34487-4</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib126"><label>Sengupta et al.(2017)Sengupta, Carrara, and
Stocker</label><mixed-citation>
      
Sengupta, A., Carrara, F., and Stocker, R.: Phytoplankton can actively
diversify their migration strategy in response to turbulent cues, Nature,
543, 555–558, <a href="https://doi.org/10.1038/nature21415" target="_blank">https://doi.org/10.1038/nature21415</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib127"><label>Sineshchekov et al.(2009)Sineshchekov, Govorunova, and
Spudich</label><mixed-citation>
      
Sineshchekov, O. A., Govorunova, E. G., and Spudich, J. L.: Photosensory
functions of channelrhodopsins in native algal cells, Photochem.
Photobiol., 85, 556–563, <a href="https://doi.org/10.1111/j.1751-1097.2008.00524.x" target="_blank">https://doi.org/10.1111/j.1751-1097.2008.00524.x</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib128"><label>Skiles et al.(2018)Skiles, Flanner, Cook, Dumont, and
Painter</label><mixed-citation>
      
Skiles, S. M., Flanner, M., Cook, J. M., Dumont, M., and Painter, T. H.:
Radiative forcing by light-absorbing particles in snow, Nat. Clim.
Change, 8, 964–971, <a href="https://doi.org/10.1038/s41558-018-0296-5" target="_blank">https://doi.org/10.1038/s41558-018-0296-5</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib129"><label>Slater and Michaelides(2019)</label><mixed-citation>
      
Slater, B. and Michaelides, A.: Surface premelting of water ice, Nat. Rev.  Chem., 3, 172–188, <a href="https://doi.org/10.1038/s41570-019-0080-8" target="_blank">https://doi.org/10.1038/s41570-019-0080-8</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib130"><label>Sommers et al.(2026)Sommers, Traver, Orthel, Fountain, Klancher, and
Schmidt</label><mixed-citation>
      
Sommers, P., Traver, E., Orthel, A., Fountain, A. G., Klancher, J., and
Schmidt, S. K.: Microbial communities and biogeochemistry of a melting
Rocky Mountain glacier, Arct. Antarct. Alp. Res., 58,
2600126, <a href="https://doi.org/10.1080/15230430.2025.2600126" target="_blank">https://doi.org/10.1080/15230430.2025.2600126</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib131"><label>Souliès et al.(2016)SouliÃ¨s, Pruvost, Castelain, and
Burghelea</label><mixed-citation>
      
Souliès, A., Pruvost, J., Castelain, C., and Burghelea, T.: Microscopic flows
of suspensions of the green non-motile <i>Chlorella</i> micro-alga at
various volume fractions: Applications to intensified photobioreactors,
J. Non-Newton. Fluid, 231, 91–101,
<a href="https://doi.org/10.1016/j.jnnfm.2016.03.012" target="_blank">https://doi.org/10.1016/j.jnnfm.2016.03.012</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib132"><label>Srivastava et al.(2010)Srivastava, Mahajan, Satyawali, and
Kumar</label><mixed-citation>
      
Srivastava, P., Mahajan, P., Satyawali, P., and Kumar, V.: Observation of
temperature gradient metamorphism in snow by X-ray computed
microtomography: measurement of microstructure parameters and simulation of
linear elastic properties, Ann. Glaciol., 51, 73–82,
<a href="https://doi.org/10.3189/172756410791386571" target="_blank">https://doi.org/10.3189/172756410791386571</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib133"><label>Stibal et al.(2009)Stibal, Anesio, Blues, and
Tranter</label><mixed-citation>
      
Stibal, M., Anesio, A. M., Blues, C. J. D., and Tranter, M.: Phosphatase activity and organic phosphorus turnover on a high Arctic glacier, Biogeosciences, 6, 913–922, <a href="https://doi.org/10.5194/bg-6-913-2009" target="_blank">https://doi.org/10.5194/bg-6-913-2009</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib134"><label>Sturm(2020)</label><mixed-citation>
      
Sturm, M.: Field guide to snow, University of Alaska Press,
<a href="https://www.jstor.org/stable/j.ctv21fqgnp" target="_blank"/> (last access: 24 September 2026), 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib135"><label>Sugden et al.(2025)Sugden, Serrouya, Neufeld, Schwantje, St. Clair,
Stein, and Spribille</label><mixed-citation>
      
Sugden, S., Serrouya, R., Neufeld, L., Schwantje, H., St. Clair, C. C., Stein,
L., and Spribille, T.: Endangered deep-snow mountain caribou have a
distinct winter diet and gut microbiome that may be altered by maternal
penning, Mol. Ecol., 34, e17783, <a href="https://doi.org/10.1111/mec.17783" target="_blank">https://doi.org/10.1111/mec.17783</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib136"><label>Suzuki et al.(2023)</label><mixed-citation>
      
Suzuki, H., Détain, A., Park, Y., Viswanath, K., Wijffels, R. H.,
Leborgne-Castel, N., Procházková, L., and Hulatt, C. J.: Phylogeny and
lipid profiles of snow-algae isolated from Norwegian red-snow microbiomes,
FEMS Microbiol. Ecol., 99, fiad057, <a href="https://doi.org/10.1093/femsec/fiad057" target="_blank">https://doi.org/10.1093/femsec/fiad057</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib137"><label>Tan and Chiam(2018)</label><mixed-citation>
      
Tan, R. Z. and Chiam, K.-H.: A computational model for how cells choose
temporal or spatial sensing during chemotaxis, PLOS Comput. Biol.,
14, e1005966, <a href="https://doi.org/10.1371/journal.pcbi.1005966" target="_blank">https://doi.org/10.1371/journal.pcbi.1005966</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib138"><label>Tesson and Pröschold(2022)</label><mixed-citation>
      
Tesson, S. V. M. and Pröschold, T.: Description of Limnomonas gen. nov.,
L. gaiensis sp. nov. and L. spitsbergensis sp. nov. (Chlamydomonadales,
Chlorophyta), Diversity, 14, 481, <a href="https://doi.org/10.3390/d14060481" target="_blank">https://doi.org/10.3390/d14060481</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib139"><label>Thomson et al.(2025)Thomson, Gray, Colesie, Thomas, Moulton, Convey,
Smith, Fretwell, Peck, and Davey</label><mixed-citation>
      
Thomson, A. I., Gray, A., Colesie, C., Thomas, N., Moulton, H., Convey, P.,
Smith, A. G., Fretwell, P., Peck, L., and Davey, M. P.: Surface darkening by
abundant and diverse algae on an Antarctic ice cap, Nat. Commun.,
16, 2647, <a href="https://doi.org/10.1038/s41467-025-57725-6" target="_blank">https://doi.org/10.1038/s41467-025-57725-6</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib140"><label>Timm and Okubo(1994)</label><mixed-citation>
      
Timm, U. and Okubo, A.: Gyrotaxis: A plume model for self-focusing
micro-organisms, B. Math. Biol., 56, 187–206,
<a href="https://doi.org/10.1016/S0092-8240(05)80255-1" target="_blank">https://doi.org/10.1016/S0092-8240(05)80255-1</a>, 1994.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib141"><label>Tucker and Brown(2022)</label><mixed-citation>
      
Tucker, A. E. and Brown, S. P.: Sampling a gradient of red snow algae bloom
density reveals novel connections between microbial communities and
environmental features, Sci. Rep., 12, 10536,
<a href="https://doi.org/10.1038/s41598-022-13914-7" target="_blank">https://doi.org/10.1038/s41598-022-13914-7</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib142"><label>Vachier and Wettlaufer(2022)</label><mixed-citation>
      
Vachier, J. and Wettlaufer, J. S.: Biolocomotion and premelting in ice,
Frontiers in Physics, 10, 904836, <a href="https://doi.org/10.3389/fphy.2022.904836" target="_blank">https://doi.org/10.3389/fphy.2022.904836</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib143"><label>Vincent and
Hill(1996)</label><mixed-citation>
      
Vincent, R. V. and Hill, N. A.: Bioconvection in a suspension of phototactic
algae, J. Fluid Mech., 327, 343–371,
<a href="https://doi.org/10.1017/S0022112096008579" target="_blank">https://doi.org/10.1017/S0022112096008579</a>, 1996.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib144"><label>Wager(1911)</label><mixed-citation>
      
Wager, H. W. T.: On the effect of gravity upon the movements and aggregation of
<i>Euglena viridis</i>, <i>Ehrb.</i>, and other micro-organisms,
Philos. T. R. Soc. Lond.  B, 201, 333–390,
<a href="https://doi.org/10.1098/rstb.1911.0007" target="_blank">https://doi.org/10.1098/rstb.1911.0007</a>, 1911.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib145"><label>Wan and Goldstein(2016)</label><mixed-citation>
      
Wan, K. Y. and Goldstein, R. E.: Coordinated beating of algal flagella is
mediated by basal coupling, P. Natl. Acad. Sci. USA,
113, <a href="https://doi.org/10.1073/pnas.1518527113" target="_blank">https://doi.org/10.1073/pnas.1518527113</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib146"><label>Wang et al.(2026)Wang, Bentley, Li, Wan, and
Tsang</label><mixed-citation>
      
Wang, Z., Bentley, S. A., Li, J., Wan, K. Y., and Tsang, A. C.:
Light-Dependent Switching of Circling Handedness in Microswimmer
Navigation, Phys. Rev. Lett., 136, 078301,
<a href="https://doi.org/10.1103/6cdq-1nvv" target="_blank">https://doi.org/10.1103/6cdq-1nvv</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib147"><label>Weiss(1983)</label><mixed-citation>
      
Weiss, R. L.: Fine structure of the snow alga (<i>Chlamydomonas
nivalis</i>) and associated bacteria, J. Phycol., 19, 200–204,
<a href="https://doi.org/10.1111/j.0022-3646.1983.00200.x" target="_blank">https://doi.org/10.1111/j.0022-3646.1983.00200.x</a>, 1983.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib148"><label>Wergin et al.(1996)Wergin, Rango, Erbe, and
Murphy</label><mixed-citation>
      
Wergin, W. P., Rango, A., Erbe, E. F., and Murphy, C. A.: Low temperature SEM
of precipitated and metamorphosed snow crystals collected and transported
from remote sites, Microsc. Microanal., 2, 99–112,
<a href="https://doi.org/10.1017/S1431927696210992" target="_blank">https://doi.org/10.1017/S1431927696210992</a>, 1996.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib149"><label>Williams and
Bees(2011a)</label><mixed-citation>
      
Williams, C. R. and Bees, M. A.: Photo-gyrotactic bioconvection, J.
Fluid Mech., 678, 41–86, <a href="https://doi.org/10.1017/jfm.2011.100" target="_blank">https://doi.org/10.1017/jfm.2011.100</a>, 2011a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib150"><label>Williams and Bees(2011b)</label><mixed-citation>
      
Williams, C. R. and Bees, M. A.: A tale of three taxes: photo-gyro-gravitactic
bioconvection, J. Exp. Biol., 214, 2398–2408,
<a href="https://doi.org/10.1242/jeb.051094" target="_blank">https://doi.org/10.1242/jeb.051094</a>, 2011b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib151"><label>Wilson and Bees(2025)</label><mixed-citation>
      
Wilson, L. G. and Bees, M. A.: Asymmetries in the three-dimensional beat of
<i>Chlamydomonas reinhardtii</i> flagella revealed by holographic
microscopy, J. Cell Sci., 138, jcs263946,
<a href="https://doi.org/10.1242/jcs.263946" target="_blank">https://doi.org/10.1242/jcs.263946</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib152"><label>Yasuda et al.(2024)Yasuda, Endo, Arai, and
Yasuoka</label><mixed-citation>
      
Yasuda, I., Endo, K., Arai, N., and Yasuoka, K.: In-layer inhomogeneity of
molecular dynamics in quasi-liquid layers of ice, Commun. Chem.,
7, 117, <a href="https://doi.org/10.1038/s42004-024-01197-0" target="_blank">https://doi.org/10.1038/s42004-024-01197-0</a>, 2024.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib153"><label>Yoshimura et al.(2003)Yoshimura, Matsuo, and
Kamiya</label><mixed-citation>
      
Yoshimura, K., Matsuo, Y., and Kamiya, R.: Gravitaxis in
<i>Chlamydomonas reinhardtii</i> studied with novel mutants, Plant
Cell Physiol., 44, 1112–1118, <a href="https://doi.org/10.1093/pcp/pcg134" target="_blank">https://doi.org/10.1093/pcp/pcg134</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib154"><label>Young and Mitchell(1973)</label><mixed-citation>
      
Young, L. Y. and Mitchell, R.: Negative chemotaxis of marine bacteria to toxic
chemicals, Applied Microbiol., 25, 972–975,
<a href="https://doi.org/10.1128/am.25.6.972-975.1973" target="_blank">https://doi.org/10.1128/am.25.6.972-975.1973</a>, 1973.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib155"><label>Zhang et al.(2022)Zhang, Li, Duan, Abbas, Mundaca-Uribe, Yin, Luan,
Gao, Fang, Zhang, and Wang</label><mixed-citation>
      
Zhang, F., Li, Z., Duan, Y., Abbas, A., Mundaca-Uribe, R., Yin, L., Luan, H.,
Gao, W., Fang, R. H., Zhang, L., and Wang, J.: Gastrointestinal tract drug
delivery using algae motors embedded in a degradable capsule, Science
Robotics, 7, <a href="https://doi.org/10.1126/scirobotics.abo4160" target="_blank">https://doi.org/10.1126/scirobotics.abo4160</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib156"><label>Zhang et al.(2024)Zhang, Guo, Li, Luan, Yu, Zhu, Ding, Gao, Fang,
Zhang, and Wang</label><mixed-citation>
      
Zhang, F., Guo, Z., Li, Z., Luan, H., Yu, Y., Zhu, A. T., Ding, S., Gao, W.,
Fang, R. H., Zhang, L., and Wang, J.: Biohybrid microrobots locally and
actively deliver drug-loaded nanoparticles to inhibit the progression of lung
metastasis, Science Advances, 10, eadn6157, <a href="https://doi.org/10.1126/sciadv.adn6157" target="_blank">https://doi.org/10.1126/sciadv.adn6157</a>,
2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib157"><label>Zheng et al.(2020)Zheng, Xue, Chen, He, and
Wang</label><mixed-citation>
      
Zheng, Y., Xue, C., Chen, H., He, C., and Wang, Q.: Low-temperature adaptation
of the snow alga <i>Chlamydomonas nivalis</i> is associated with the
photosynthetic system regulatory process, Front. Microbiol., 11,
1233, <a href="https://doi.org/10.3389/fmicb.2020.01233" target="_blank">https://doi.org/10.3389/fmicb.2020.01233</a>, 2020.

    </mixed-citation></ref-html>--></article>
