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<journal-id journal-id-type="publisher-id">Front. Ecol. Evol.</journal-id>
<journal-title>Frontiers in Ecology and Evolution</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Ecol. Evol.</abbrev-journal-title>
<issn pub-type="epub">2296-701X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fevo.2024.1505025</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Ecology and Evolution</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Seeing through the gray box: an integrated approach to physiological modeling of phytoplankton stoichiometry</article-title>
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<contrib contrib-type="author" corresp="yes" equal-contrib="yes">
<name>
<surname>Jones</surname>
<given-names>Catriona L. C.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<xref ref-type="author-notes" rid="fn004">
<sup>&#x2021;</sup>
</xref>
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<name>
<surname>Camps-Castella</surname>
<given-names>Judith</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<xref ref-type="author-notes" rid="fn004">
<sup>&#x2021;</sup>
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<name>
<surname>Smykala</surname>
<given-names>Mike</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<xref ref-type="author-notes" rid="fn004">
<sup>&#x2021;</sup>
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<name>
<surname>Sobol</surname>
<given-names>Morgan S.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<xref ref-type="author-notes" rid="fn004">
<sup>&#x2021;</sup>
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<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Inomura</surname>
<given-names>Keisuke</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<xref ref-type="author-notes" rid="fn004">
<sup>&#x2021;</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Forestry and Natural Resources, Purdue University</institution>, <addr-line>W. Lafayette, IN</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Departament de Biologia Evolutiva, Ecologia i Ci&#xe8;ncies Ambientals, Facultat de Biologia</institution>, <addr-line>Universitat de Barcelona, Barcelona</addr-line>, <country>Spain</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Institute for Chemistry and Biology of the Marine Environment (ICBM)</institution>, <addr-line>Carl von Ossietzky Universit&#xe4;t Oldenburg, Oldenburg</addr-line>, <country>Germany</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Bacteriology, University of Wisconsin-Madison</institution>, <addr-line>Madison, WI</addr-line>, <country>United States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Graduate School of Oceanography, University of Rhode Island</institution>, <addr-line>Narragansett, RI</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Giovanna Battipaglia, University of Campania Luigi Vanvitelli, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Timothy Ferdelman, Max Planck Society, Germany</p>
<p>Punidan D. Jeyasingh, Oklahoma State University, United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Catriona L. C. Jones, <email xlink:href="mailto:jone2425@purdue.edu">jone2425@purdue.edu</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work</p>
</fn>
<fn fn-type="other" id="fn004">
<p>&#x2021;ORCID: Catriona L. C. Jones, <uri xlink:href="https://orcid.org/0000-0002-0225-6371">orcid.org/0000-0002-0225-6371</uri>; Camps-Castella J., <uri xlink:href="https://orcid.org/0000-0001-7360-4102">orcid.org/0000-0001-7360-4102</uri>; Smykala M., <uri xlink:href="https://orcid.org/0009-0004-7439-8514">orcid.org/0009-0004-7439-8514</uri>; Sobol M. S., <uri xlink:href="https://orcid.org/0000-0002-9990-8507">orcid.org/0000-0002-9990-8507</uri>; Inomura K., <uri xlink:href="https://orcid.org/0000-0001-9232-7032">orcid.org/0000-0001-9232-7032</uri>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>12</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1505025</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>10</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>11</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Jones, Camps-Castella, Smykala, Sobol and Inomura</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Jones, Camps-Castella, Smykala, Sobol and Inomura</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The &#x2018;black boxes&#x2019; of ecological stoichiometry, planktonic microbes, have long been recognized to have considerable effects on global biogeochemical cycles. Significant progress has been made in studying these effects and expanding our understanding of microbial stoichiometry. However, the &#x2018;black box&#x2019; has not been completely cracked open; there remain gaps in our knowledge of the fate of elements within the phytoplankton cell, and the effect of external processes on nutrient fluxes through their metabolism and into macromolecules and biomass - the eponymous &#x2018;gray box&#x2019;. In this review paper, we describe the development of an integrative modeling approach that involves a stoichiometrically explicit model of Macromolecular Allocation and Genome-scale Metabolic Analysis (MAGMA) to gain insights into the intra- and extracellular fluxes of nutrients using the cyanobacterium <italic>Parasynechococcus marenigrum</italic> WH8102 as a target model organism. We then describe an example of the genome-scale resources for <italic>P. marenigrum</italic> that can be used to build such an integrated modeling tool to see through the gray box of phytoplankton stoichiometry and improve our understanding of the effects of resource supplies and other environmental drivers, especially temperature, on C:N:P demand, acquisition, and allocation at the cellular level.</p>
</abstract>
<kwd-group>
<kwd>cyanobacteria</kwd>
<kwd>flux balance analysis</kwd>
<kwd>MAGMA</kwd>
<kwd>macromolecular model</kwd>
<kwd>macromolecules</kwd>
<kwd>microbes</kwd>
<kwd>pangenome</kwd>
<kwd>stoichiometry</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="1"/>
<equation-count count="0"/>
<ref-count count="128"/>
<page-count count="15"/>
<word-count count="7104"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Ecophysiology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Redfield and the stoichiometry of marine phytoplankton</title>
<p>In 1934, Alfred Redfield observed that the molar ratio of carbon (C), nitrogen (N), and phosphorus (P) in phytoplankton biomass was approximately 106:16:1. This pattern was found to be consistent throughout the world&#x2019;s oceans, from surface waters to deep dissolved nutrient pools (<xref ref-type="bibr" rid="B87">Redfield, 1934</xref>). Redfield proposed that this ratio was shaped by intracellular processes in phytoplankton, a hypothesis supported by further research (<xref ref-type="bibr" rid="B78">Pahlow, 2005</xref>; <xref ref-type="bibr" rid="B52">Loladze and Elser, 2011</xref>).</p>
<p>Although the Redfield ratio demonstrates a pronounced central tendency of 106:16:1, the existence of variation around these canonical values remains relevant and important to understand in order to distinguish stochastic variability in phytoplankton stoichiometry from more extreme changes that may indicate significant disturbances in global biogeochemical cycling. Shifts in cellular stoichiometry are frequently associated with specific growth rate, as at low growth rates, organisms tend to reflect the stoichiometry of their surrounding environment (&#x201c;you are what you have available to eat&#x201d;), whereas, at high growth rates, the stoichiometry of organisms deviate from the environment and converge towards a narrow range of values (&#x201c;you eat what you need&#x201d;) (<xref ref-type="bibr" rid="B44">Klausmeier et&#xa0;al., 2004a</xref>; <xref ref-type="bibr" rid="B83">Persson et&#xa0;al., 2010</xref>). Indeed, at maximum growth rate, cellular elemental composition reaches a species-specific ratio, often similar to the established Redfield Ratio of C:N:P 106:16:1 (<xref ref-type="bibr" rid="B87">Redfield, 1934</xref>; <xref ref-type="bibr" rid="B89">Rhee and Gotham, 1981</xref>; <xref ref-type="bibr" rid="B104">Sterner and Elser, 2003</xref>; <xref ref-type="bibr" rid="B44">Klausmeier et&#xa0;al., 2004a</xref>; <xref ref-type="bibr" rid="B5">Bi et&#xa0;al., 2012</xref>).</p>
<p>There is also a significant spatial component to the observed variation around the canonical Redfield Ratio in the oceans. Latitudinal variation in phytoplankton stoichiometry was identified in a model-data synthesis by <xref ref-type="bibr" rid="B122">Weber and Deutsch (2010)</xref> and subsequently supported by field sampling and further data synthesis from <xref ref-type="bibr" rid="B59">Martiny et&#xa0;al. (2013)</xref>. The strongest deviations from Redfield were found in the warm, low-latitude, low-nutrient ocean gyres, which were found to have both higher C:N and higher N:P ratios (195:28:1), while ratios more closely resembling Redfield (78:13:1) were found in the colder, nutrient-rich, high-latitude waters. There is also spatial variation due to depth with most of the variation in stoichiometric ratios found in the surface while the deep ocean N:P was typically closer to the Redfield ratio, regulated by net export of production (<xref ref-type="bibr" rid="B31">Gruber and Deutsch, 2014</xref>).</p>
<p>Taxonomic differences are also relevant. For example, N-sensitive species (i.e., those with low C:N and high N:P ratios, which are therefore primarily N-limited) show higher C and lower N under N limitation, whereas insensitive species maintain stable C:N ratios (<xref ref-type="bibr" rid="B28">Goldman and Peavey, 1979</xref>; <xref ref-type="bibr" rid="B25">Garcia et&#xa0;al., 2016</xref>). Diurnal cycles (<xref ref-type="bibr" rid="B73">Olson et&#xa0;al., 1986</xref>) and light availability also affects stoichiometry, with C content increasing in some lineages (<xref ref-type="bibr" rid="B49">Leonardos and Geider, 2004</xref>) but less in others (<xref ref-type="bibr" rid="B57">MacIntyre et&#xa0;al., 2002</xref>), and N content decreasing with increasing light in certain lineages (<xref ref-type="bibr" rid="B23">Finkel et&#xa0;al., 2006</xref>). Much of what we see at the whole cellular level in C:N:P variation of planktonic microbes may be linked to metabolic and biochemical shifts at a subcellular level.Under high light and nutrient limitation, the N-rich light-harvesting apparatus is down-regulated, while the C-rich energy reserves increase (<xref ref-type="bibr" rid="B48">Kromkamp, 1987</xref>; <xref ref-type="bibr" rid="B27">Geider et&#xa0;al., 1996</xref>), leading to high C:N ratios. This is reversed under low light conditions (<xref ref-type="bibr" rid="B7">Bouman et&#xa0;al., 2006</xref>). Macromolecular allocation also varies diurnally, with photosynthetic proteins being expressed during the day, cell division proteins near sunset, and carbohydrate metabolism proteins at night, causing variations in nucleic acid, pigment, and protein contents (<xref ref-type="bibr" rid="B116">Vaulot et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B60">Matallana-Surget et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B53">Lopez et&#xa0;al., 2016</xref>) and resulting in diurnally variable C:N:P ratios. Under P limitation, phytoplankton upregulate proteins involved in phosphate regulation to increase P uptake or access organically bound P (<xref ref-type="bibr" rid="B112">Torriani-Gorini, 1987</xref>; <xref ref-type="bibr" rid="B121">Wanner, 1993</xref>), which can increase total cellular protein content (<xref ref-type="bibr" rid="B51">Liefer et&#xa0;al., 2019</xref>). Under N limitation, N uptake proteins are also upregulated (<xref ref-type="bibr" rid="B34">Herrero et&#xa0;al., 1985</xref>; <xref ref-type="bibr" rid="B111">Tolonen et&#xa0;al., 2006</xref>), but to a lesser extent than under P limitation, resulting in more modest changes in protein content (<xref ref-type="bibr" rid="B51">Liefer et&#xa0;al., 2019</xref>).</p>
</sec>
<sec id="s2">
<title>Gray boxes and the complexity of cellular processes</title>
<p>Despite their fundamental role at the base of the food web exerting bottom up controls on the ecosystem, planktonic microbes, including bacteria and phytoplankton, have historically been considered as &#x201c;black boxes&#x201d; (<xref ref-type="bibr" rid="B90">Riley, 1946</xref>), due to the inherent complexity and limited understanding of the underlying biochemistry at the microscopic scale. In fact, microbial communities encompass a wide range of metabolic pathways and can rapidly adapt to changing environmental conditions, with important implications for biogeochemical cycling. However, extensive work has been carried out to unlock this black box to better understand the role of planktonic microbes in global biogeochemical cycles and to incorporate this information into stoichiometric models of nutrient cycling. Thus, the microbial black box from the early days of marine biogeochemistry is now much more transparent but knowledge gaps do remain. We therefore argue that the microbial black box has become a semi-transparent &#x201c;gray box&#x201d; (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), involving a mixture of known and unknown aspects of cellular physiology. These improvements in understanding are due to the application of new methods, such as advanced elemental analysis techniques such as XRMA and Raman microscopy that have allowed researchers to quantify the C:N:P ratios of individual phytoplankton cells (<xref ref-type="bibr" rid="B33">Hall et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B98">Segura-Noguera et&#xa0;al., 2016</xref>). Mechanistic models of elemental allocation have also provided vital insights into how phytoplankton cells build biomass and allocate to macromolecular pools under varying resource supply (<xref ref-type="bibr" rid="B40">Inomura et&#xa0;al., 2020a</xref>; <xref ref-type="bibr" rid="B2">Armin and Inomura, 2021</xref>). Meanwhile, genome-scale metabolic modeling has been applied, to name but a few, to studying the evolution of phosphorus metabolism (<xref ref-type="bibr" rid="B11">Casey et&#xa0;al., 2016</xref>), the balance of nitrogen and sulfur in diatom-mediated redox equilibrium in the oceans (<xref ref-type="bibr" rid="B115">van Tol and Armbrust, 2021</xref>), the dynamics of carbon storage and nutrient release in marine cyanobacteria (<xref ref-type="bibr" rid="B72">Ofaim et&#xa0;al., 2021</xref>), and dynamic nitrogen metabolism in a model diatom (<xref ref-type="bibr" rid="B101">Smith et&#xa0;al., 2019</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Diagram showing fluxes of carbon, nitrogen, and phosphorus between the atmosphere, the oceans, and primary producers and between macromolecular pools within the phytoplankton &#x2018;gray box&#x2019;. The colors represent different elements involved in nutrient cycling: red indicates nitrogen, yellow represents carbon, and blue corresponds to phosphorus.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1505025-g001.tif"/>
</fig>
</sec>
<sec id="s3">
<title>Additional abiotic drivers of ecological stoichiometry</title>
<p>In addition to the clear roles of resource supply and taxonomic variation in determining the elemental balance of an ecosystem and its biota, other abiotic features of the environment can also have a significant effect on the balance and flow of nutrients through an ecosystem. Of particular concern are abiotic factors that are changing rapidly, radically, and on a global scale, as a result of human activities, and therefore have the potential to alter global biogeochemical cycles in unpredictable and non-additive ways (<xref ref-type="bibr" rid="B117">Velthuis et&#xa0;al., 2022</xref>).</p>
<p>Combinations of modeling, field sampling, and controlled experiments have generated important hypotheses about the role of the abiotic environment as a driver of stoichiometric variation. Ocean acidification for example, caused by increased aqueous pCO<sub>2</sub> concentrations, has been mechanistically linked to stochastic changes in C:N ratios in particulate organic matter through <italic>in situ</italic> mesocosm experiments (<xref ref-type="bibr" rid="B107">Taucher et&#xa0;al., 2021</xref>) with modeling approaches also hypothesizing interactive effects of nutrient availability on responses to acidification (<xref ref-type="bibr" rid="B118">Verspagen et&#xa0;al., 2014</xref>). Meanwhile, both experimental and modeling approaches have demonstrated a highly interactive relationship between nutrient supply and temperature, with strongly temperature-dependent effects of nutrient supply on producer (<xref ref-type="bibr" rid="B118">Verspagen et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B14">DeVries, 2018</xref>; <xref ref-type="bibr" rid="B71">O'Donnell et al., 2021</xref>) and consumer (<xref ref-type="bibr" rid="B102">Starke et&#xa0;al., 2021</xref>) growth rates. A recent meta-analysis has also found strong interactions among temperature, biogeography and phenotype on determining the stoichiometry of marine phytoplankton (<xref ref-type="bibr" rid="B126">Yvon-Durocher et&#xa0;al., 2015</xref>).</p>
<p>Temperature can also influence macromolecular allocation, with higher temperatures leading to lower ribosome allocation (<xref ref-type="bibr" rid="B35">Hochachka and Somero, 1984</xref>; <xref ref-type="bibr" rid="B113">Toseland et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B126">Yvon-Durocher et&#xa0;al., 2015</xref>) and thus lower RNA content (<xref ref-type="bibr" rid="B108">Tempest and Hunter, 1965</xref>; <xref ref-type="bibr" rid="B125">Yun et&#xa0;al., 1996</xref>). Such decreases should increase cellular C:P and N:P. <xref ref-type="bibr" rid="B113">Toseland et&#xa0;al. (2013)</xref> also found that in low-latitude environments (&lt;30&#xb0;N/S), phytoplankton rates of protein synthesis were increased even though ribosomal production was decreased, indicating that phytoplankton require a lower density of ribosomes for protein synthesis at higher temperatures and a higher density at lower temperatures.</p>
<p>What many of the temperature-based studies (<xref ref-type="bibr" rid="B126">Yvon-Durocher et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B62">Moorthi et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B102">Starke et&#xa0;al., 2021</xref>) have in common is that they have identified and characterized the role of the temperature in determining organismal stoichiometry from a population, community, or whole-organism perspective. They have hypothesized that temperature-dependent processes occurring at a subcellular level, such as metabolism, play a key role in driving organismal stoichiometry at global scales, highlighting the benefit of incorporating omics data into ecological stoichiometry.</p>
</sec>
<sec id="s4">
<title>The utility of &#x2018;omics in ecological stoichiometry studies</title>
<p>Omics data have been successfully integrated into lab- and field studies of ecological stoichiometry through the measurement of bulk pools of key metabolites in response to resource supply and other environmental drivers (<xref ref-type="bibr" rid="B99">Singh and Tiwari, 2000</xref>; <xref ref-type="bibr" rid="B120">Wagner and Frost, 2012</xref>; <xref ref-type="bibr" rid="B127">Zhang et&#xa0;al., 2022</xref>). These experiments have provided vital insights into the molecular processes determining organismal stoichiometry. For example, metabolomic analysis of a marine dinoflagellates demonstrated that the allocation of key macromolecular precursors, such as amino acids (i.e., N-rich) and soluble sugars (i.e., C-rich), are highly temperature-dependent, with increased allocation to C-pools (sugars) at high temperatures and increased allocation to N-pools (amino acids) at low temperatures (<xref ref-type="bibr" rid="B99">Singh and Tiwari, 2000</xref>; <xref ref-type="bibr" rid="B120">Wagner and Frost, 2012</xref>; <xref ref-type="bibr" rid="B127">Zhang et&#xa0;al., 2022</xref>). The enzyme alkaline phosphatase has been found to play a key role in cellular responses to varying phosphorus supply in both planktonic microbes (<xref ref-type="bibr" rid="B99">Singh and Tiwari, 2000</xref>) and metazoans (<xref ref-type="bibr" rid="B120">Wagner and Frost, 2012</xref>).</p>
<p>While invaluable, a drawback of quantifying bulk metabolite pools experimentally is the limited ability to study dynamic fluxes of metabolites. This can be achieved at a population level through sampling of the population at discrete time intervals, in a chemostat for example, but these measurements are complicated by potential effects of dilution on population stoichiometry (<xref ref-type="bibr" rid="B45">Klausmeier et&#xa0;al., 2004b</xref>) and still represent only snapshots in time rather a truly dynamic view of metabolite flux. Carrying out metabolomic analysis on individual cells meanwhile can only produce a single static measurement of metabolite concentration and composition under a single set of conditions.</p>
<p>
<italic>In silico</italic> modeling approaches that integrate omics data into stoichiometric models allow for the dynamic quantification of metabolites and biomass composition, even at the level of an individual cell. These omic- and stoichiometric-explicit models have provided fascinating insights into the highly temporally dynamic nature of phytoplankton stoichiometry (<xref ref-type="bibr" rid="B32">Hagstrom et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B74">Omta et&#xa0;al., 2024</xref>). Moreover, they have suggested a potential hypothesis to account for discrepancies in field observations of phytoplankton, such as those observed in North Atlantic N:C stoichiometry datasets (<xref ref-type="bibr" rid="B94">Sauterey and Ward, 2022</xref>).</p>
</sec>
<sec id="s5">
<title>Elucidating phytoplankton subcellular physiological responses to environment</title>
<p>When developing models that integrate stoichiometry and omics, cellular physiology can be considered from (at least) two different perspectives: metabolic fluxes and macromolecular allocations. On one hand, a phytoplankton cell is a machine consisting of thousands of reactions that maintain the cell and eventually produce new biomass. Most reactions are mediated by enzymatic activities, and their presence can be informed by the presence of a gene, its transcript, or, more importantly, the protein itself. While this reaction-centric approach is a view highly focused on metabolic fluxes, the macromolecular viewpoint focuses on the net outcome of these fluxes: the amounts and relative allocations of different macromolecules. The need for a robust model integrating omics and stoichiometry for phytoplankton arises from the limitations of our current understanding of physiological responses and microbial contributions to nutrient dynamics in marine ecosystems. Models have been developed that embrace these two different perspectives but do so separately (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). Genome-scale metabolic modeling (GSM) reconstructs a detailed metabolic network based on `omics information, informing about the presence and absence of each metabolic step. The key in such models is the choice of the objective function. Typically this is the biomass objective function (<xref ref-type="bibr" rid="B22">Feist and Palsson, 2010</xref>). In GSMs, biomass stoichiometry must be predefined and is typically represented as a fixed composition of macromolecules in terms of their elemental components like C:N:P. This fixed representation of stoichiometry means that GSMs cannot inherently capture changes in the elemental composition of biomass that may occur under different environmental conditions or nutrient availability. Flux balance analysis (FBA) complements GSM by solving a linear function that is used to find the optimal distribution of metabolic fluxes that satisfy all the constraints, such as mass balance, and optimize a particular objective, such as maximizing biomass production. With the biomass stoichiometry given, FBA can predict fluxes for the precursors of macromolecules. The stoichiometric coefficients of each reaction constrain the flow of metabolites through the GSM in two ways. First, system boundaries are established to ensure that, at steady state, the total production of any given compound is equal to its total consumption. Second, each reaction is assigned upper and lower bounds that define the maximum and minimum allowable fluxes. These checks and balances determine the range of possible flux distributions within the system, specifying the rates at which metabolites are produced and consumed by each reaction. It is essential that these rates are physiologically relevant (<xref ref-type="bibr" rid="B76">Orth et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B19">Fang et&#xa0;al., 2020</xref>). FBA is highly standardized and is increasingly used as a tool in the analysis of `omics data (e.g. <xref ref-type="bibr" rid="B66">Nishimura and Yoshizawa, 2022</xref>; <xref ref-type="bibr" rid="B80">Paoli et&#xa0;al., 2022</xref>) and has proven useful in the bioengineering world, where models of phytoplankton and other microbes have been used extensively (e.g., <xref ref-type="bibr" rid="B65">Nambou et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B3">Banerjee et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B119">Vikromvarasiri et&#xa0;al., 2023</xref>) to help identify optimal growth parameters and biomass production for economically important species.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Schematic of MAGMA. Two complementary models for simulating phytoplankton physiology and C:N:P stoichiometry and how these may be integrated toward MAGMA. Left and right schematic describes the macromolecular model and detailed metabolic model respectively. The bullet points describe complementary features of each model. In the macromolecular model schematic, arrows describe metabolic fluxes and boxes represent pools of molecules and elements, except that the green box represents a cell. In the schematic of the detailed metabolic model, nodes represent metabolite and lines represent metabolic fluxes. The black arrows show information provided from one model to the other, demonstrating how these two models may complement each other toward MAGMA. Source: Right panel adapted from <xref ref-type="bibr" rid="B39">Inomura et al. (2020b)</xref> under <uri xlink:href="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0 license</uri>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1505025-g002.tif"/>
</fig>
<p>FBA, however, treats the cell as a discrete unit, which limits the ability of the model to communicate with the external environment and reduces our ability to incorporate and explore ecologically relevant relationships and feedback between the cell and the ecosystem. To allow FBA to accommodate a range of environmental conditions, a conditional version of FBA (cFBA) was developed (<xref ref-type="bibr" rid="B93">R&#xfc;gen et&#xa0;al., 2015</xref>). This introduces discrete time intervals into the model cycle, during which flux distributions can be captured without optimization. The approach was developed initially to study the effects of varying light availability in cyanobacteria, but has since been adapted to predict the impact of temperature on metabolic fluxes (<xref ref-type="bibr" rid="B77">P&#xe1;ez-Watson et&#xa0;al., 2023</xref>).</p>
<p>Macromolecular models resolve and simulate the actual mass and allocation of macromolecules in phytoplankton (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). There are a variety of methods and most of these are based on empirically informed equations (e.g., <xref ref-type="bibr" rid="B40">Inomura et&#xa0;al., 2020a</xref>, <xref ref-type="bibr" rid="B38">2022</xref>; <xref ref-type="bibr" rid="B75">Omta et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B106">Sullivan et&#xa0;al., 2024</xref>). Given the fixed elemental stoichiometry of macromolecules, modeling of macromolecular allocation can readily lead to modeling of elemental stoichiometry of the entire cell. While macromolecular models typically do not resolve detailed metabolic fluxes, they do include key metabolic processes such as photosynthesis, respiration, and growth that are related to macromolecular allocation. This simplicity increases computational efficiency, allowing these models to be run at the scale of the global ocean (e.g., <xref ref-type="bibr" rid="B38">Inomura et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B106">Sullivan et&#xa0;al., 2024</xref>). Macromolecular models may interact with the external environment, as embedded in the ocean simulation (<xref ref-type="bibr" rid="B38">Inomura et&#xa0;al., 2022</xref>) and provide empirically supported physiological acclimation. However, macromolecular models alone do not typically represent the detailed metabolic fluxes that can be informed by the vast accumulation of &#x2018;omics data.</p>
</sec>
<sec id="s6">
<title>A combined modeling approach: MAGMA</title>
<p>To integrate these two approaches, we envision a combination that entails a stoichiometrically explicit model of macromolecular allocations with a genome-informed quantitative kinetic FBA: MAGMA (Macromolecular Allocation and Genome-scale Metabolic Analysis) (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).The first step in developing such an integrated model is to use a macromolecular model to predict elemental stoichiometry based on the typical elemental stoichiometry of each macromolecule based on environmental factors (light, nutrients) (e.g., <xref ref-type="bibr" rid="B40">Inomura et&#xa0;al., 2020a</xref>). In the second step, the predicted elemental stoichiometry is used to constrain the FBA. This will allow the FBA to predict metabolic fluxes with varying elemental stoichiometry under various environmental conditions. The FBA can provide the allocation of precursor molecules for various macromolecular allocations, which can then be compared with the output of a macromolecular allocation model (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). In <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, we demonstrate how integrating omics data into macromolecular allocation modeling may be used to test hypotheses about the role of temperature-dependent subcellular processes in determining phytoplankton stoichiometry ratios in the ocean (e.g.,<xref ref-type="bibr" rid="B126">Yvon-Durocher et&#xa0;al., 2015</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Hypothesized effects of warming on C:N:P allocation to major macromolecular pools (lipids, carbohydrates, and proteins) and description of MAGMA-based hypothesis test.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Macromolecular pools</th>
<th valign="top" align="center">Hypothesized effects of warming</th>
<th valign="top" align="center">MAGMA hypothesis test</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Lipids</td>
<td valign="top" align="left">
<italic>Hypothesis 1:</italic> Phosphorus allocation to lipids is sensitive to temperature.<break/>
<italic>Hypothesis 2:</italic> The effect of temperature on P allocation to lipids varies by lipid function.<break/>
<italic>Prediction 1:</italic> Higher allocation of P to lipids under warming<break/>
<italic>Prediction 2:</italic> Overall C:P ratios of lipid pool will be driven by allocation to membrane lipids specifically.<break/>
<italic>Rationale:</italic> There is evidence Guschina and Harwood (2006) that organisms modify their membrane lipid composition in response to temperature changes (e.g., increasing unsaturated fatty acids in colder conditions), while Ga&#x161;parovi&#x107; et&#xa0;al. (2023)found that both temperature and, paradoxically, P-limitation increased the relative amount of phospholipids in the cell membrane which they linked with the higher production of saturated fatty acids under stress conditions.</td>
<td valign="top" align="left">Predict C:N:P allocation to lipids under range of temperatures; constrain model using allocation data; calculate the contribution of lipid-based biomass formed by membrane lipids and fluxes of P into fatty acid synthesis pathway</td>
</tr>
<tr>
<td valign="top" align="left">Carbohydrates</td>
<td valign="top" align="left">
<italic>Hypothesis 1:</italic> Carbon allocation to carbohydrates shows a bell-curve response to warming<break/>
<italic>Hypothesis 2:</italic> Molecular thermal stress responses drive N allocation to carbohydrate production<break/>
<italic>Prediction:</italic> C:N and C:P ratios will initially increase upon temperature increases but will decrease when temperature hits an upper threshold outside of their normal temperature range.<break/>
<italic>Prediction 2:</italic> Decreased C:N ratios at high temperatures will be driven both by decrease photosynthetic activity and increased N allocation to antenna proteins (i.e., PsbU and PsbV)<break/>
<italic>Rationale:</italic> There is evidence that photosynthetic efficiency (PE) has a bell-curve response to temperature (<xref ref-type="bibr" rid="B127">Zhang et&#xa0;al., 2022</xref>), with a moderate temperature increase causing a spike in PE and an increase in carbon allocation to the carbohydrate pool (<xref ref-type="bibr" rid="B124">Young et&#xa0;al., 2015</xref>) while a more extreme temperature increase may cause damage to the photosynthetic apparatus, a decrease in PE and carbon allocation (<xref ref-type="bibr" rid="B58">Mai et&#xa0;al., 2021</xref>) and increased production of antennae proteins PsbU and PsbV to protect photosystem from damage (<xref ref-type="bibr" rid="B30">Grettenberger et&#xa0;al., 2024</xref>).</td>
<td valign="top" align="left">Predict temperature-dependent effects on photosynthesis and allocation to carbohydrates; constrain model using allocation data; track the production and N allocation to antennae proteins PsbU and PsbV under different temperature-dependent rates of photosynthesis.</td>
</tr>
<tr>
<td valign="top" align="left">Proteins</td>
<td valign="top" align="left">
<italic>Hypothesis:</italic> N allocation to protein synthesis is dependent on both rates of synthesis and temperature-dependent amino acid composition.<break/>
<italic>Prediction 1:</italic> At high temperatures, allocation of N to proteins will be driven by rates of protein synthesis while at low temperatures, allocation of N to proteins will be driven by amino acid composition.<break/>
<italic>Prediction 2:</italic> There will be a breakpoint temperature at which protein synthesis and amino acid composition switch places as key drivers of N:P.<break/>
<italic>Rationale:</italic> There is evidence that rates of protein synthesis increase under warming, while overall ribosome concentration decreases, which causes increased N:P ratios of phytoplankton (<xref ref-type="bibr" rid="B113">Toseland et&#xa0;al., 2013</xref>l; Yvon-Durocher et&#xa0;al., 2017). Phytoplankton have also been demonstrated to divert N into N-rich amino acids (asparagine, glutamine, and aspartic acid) under lower temperatures (<xref ref-type="bibr" rid="B127">Zhang et&#xa0;al., 2022</xref>).</td>
<td valign="top" align="left">Predict temperature-dependent allocation of C:N:P to proteins under varying temperatures;<break/>constrain the protein production of the model using these data and track amino acid composition of protein in biomass at different temperatures.</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>It is important to note that FBA models, like other &#x201c;omics-based models,&#x201d; (e.g., <xref ref-type="bibr" rid="B1">Antoniewicz, 2020</xref>; <xref ref-type="bibr" rid="B21">Faure et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B61">McDaniel et&#xa0;al., 2022</xref>) are subject to substantial uncertainty. This is due to the fact that they are only as powerful as the available omics resources used to construct them. A significant number of phytoplankton genomes and metagenomes are incomplete, with a considerable number of metabolic reactions remaining unassigned. Additionally, there are species-specific variations and functions that have yet to be characterized (<xref ref-type="bibr" rid="B56">Lv et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B21">Faure et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B20">Faria et&#xa0;al., 2023</xref>). A number of resources are available for this purpose, including Prodigal (<xref ref-type="bibr" rid="B37">Hyatt et&#xa0;al., 2010</xref>), Prokka (<xref ref-type="bibr" rid="B97">Seemann, 2014</xref>), MetaGeneAnnotator (<xref ref-type="bibr" rid="B68">Noguchi et&#xa0;al., 2008</xref>), and GeneMark.hmm (<xref ref-type="bibr" rid="B55">Lukashin and Borodovsky, 1998</xref>), which can predict the functional annotation of uncharacterized genes by making comparisons to curated, characterized genomes. However, experimental work, such as knock-out studies (e.g., <xref ref-type="bibr" rid="B95">Schroer et&#xa0;al., 2023</xref>), is required to fully characterize these reactions and their variations. The MAGMA approach may prove beneficial in improving the accuracy of functional annotations and informing hypothesis formation in experimental annotation studies. It offers a biological context, in the form of mechanistic simulations, for understanding the behavior of these genes, their associated proteins, and the pathways in which they are involved, under varying resource supply and macromolecule production conditions. Because it includes extensive sets of equations for mechanistically simulating macromolecular allocation, the MAGMA approach can be differentiated from a recent integrative study (<xref ref-type="bibr" rid="B10">Casey et&#xa0;al., 2022</xref>), which predicts macromolecular allocation based on an optimization search bounded by empirical data.</p>
</sec>
<sec id="s7">
<title>Current availability of genome-scale resources for modeling</title>
<p>Despite the exponential growth of genomic data, the availability of high-quality GSMs is limited for most microbial taxa. This is especially true for aquatic microorganisms. The intricate nature of microbial metabolism necessitates the development of <italic>de novo</italic> GSMs (<xref ref-type="bibr" rid="B110">Thiele and Palsson, 2010</xref>; <xref ref-type="bibr" rid="B70">Norsigian et&#xa0;al., 2020</xref>). The BiGG database (<xref ref-type="bibr" rid="B43">King et&#xa0;al., 2016</xref>), a prominent repository for GSMs, currently includes a model for the marine diatom <italic>Phaeodactylum tricornutum</italic> CCAP 1055/1 (<xref ref-type="bibr" rid="B50">Levering et&#xa0;al., 2016</xref>). In addition, GSMs have been developed for other microorganisms, including freshwater cyanobacteria such as <italic>Synechococcus elongatus</italic> PCC 7942 (<xref ref-type="bibr" rid="B8">Broddrick et&#xa0;al., 2016</xref>) and <italic>Synechocystis</italic> sp. PCC 6803 (<xref ref-type="bibr" rid="B67">Nogales et&#xa0;al., 2012</xref>), as well as the freshwater alga <italic>Chlamydomonas reinhardtii</italic> (<xref ref-type="bibr" rid="B12">Chang et&#xa0;al., 2011</xref>). In addition to the BiGG database, other marine GSMs include <italic>Synechococcus</italic> sp. PCC 7002 (<xref ref-type="bibr" rid="B84">Qian et&#xa0;al., 2017</xref>), <italic>Prochlorococcus</italic> MED4 (<xref ref-type="bibr" rid="B72">Ofaim et&#xa0;al., 2021</xref>), <italic>Synechococcus</italic> sp. PCC 11901 (<xref ref-type="bibr" rid="B86">Ravindran et&#xa0;al., 2024</xref>). and the marine diatom <italic>Thalassiosira pseudonana</italic> CCMP 1335 (<xref ref-type="bibr" rid="B115">van Tol and Armbrust, 2021</xref>). Other examples of freshwater cyanobacteria include <italic>Synechococcus</italic> sp. UTEX 2973 (<xref ref-type="bibr" rid="B64">Mueller et&#xa0;al., 2017</xref>), <italic>Arthrospira platensis</italic> NIES-39 (<xref ref-type="bibr" rid="B123">Yoshikawa et&#xa0;al., 2015</xref>), and <italic>Nostoc</italic> sp. PCC 7120 (<xref ref-type="bibr" rid="B69">Norena-Caro et&#xa0;al., 2021</xref>). Cyanobacteria-specific models are particularly challenging because of the vast number of genes that remain unidentified or hypothetical (<xref ref-type="bibr" rid="B56">Lv et&#xa0;al., 2015</xref>). Consequently, to function they require a comprehensive process of gap-filling reactions (<xref ref-type="bibr" rid="B20">Faria et&#xa0;al., 2023</xref>).</p>
<p>More recently, the use of GSMs for marine picocyanobacteria, such as <italic>Prochlorococcus</italic>, has facilitated a deeper understanding of their metabolic processes and ecological role within the global ocean. Marine picocyanobacteria <italic>Prochlorococcus</italic> and <italic>Synechococcus</italic> are estimated to constitute approximately 10% of the total marine picoplankton population in the upper 200m of the world&#x2019;s oceans, contributing up to 25% of the ocean&#x2019;s net primary productivity (<xref ref-type="bibr" rid="B24">Flombaum et&#xa0;al., 2013</xref>). Furthermore, their C:P and N:P ratios can span a range exceeding one order of magnitude larger than that observed in other phytoplankton taxa in the marine environment (<xref ref-type="bibr" rid="B25">Garcia et&#xa0;al., 2016</xref>).</p>
<p>Using an extended genome-scale metabolic model of <italic>Prochlorococcus</italic> strain MED4 coupled with FBA, <xref ref-type="bibr" rid="B72">Ofaim et&#xa0;al. (2021)</xref> investigated the relationships among key nutrients (C, N, P, and light), carbon storage, and excretion, in both static and dynamic settings. Under N-limited conditions, glycogen storage and organic acid exudation were favored, whereas amino acid exudation was the dominant process under P-limitation. Building upon this methodology, <xref ref-type="bibr" rid="B10">Casey et&#xa0;al. (2022)</xref> constructed a pan-GSM from 69 <italic>Prochlorococcus</italic> isolates to investigate strain-specific dynamics across an Atlantic Ocean transect (<xref ref-type="bibr" rid="B10">Casey et&#xa0;al., 2022</xref>). By optimizing the pan-GSM to align with local physical and chemical conditions, the authors were able to predict strain-specific growth rates, metabolic configurations, and niche adaptations. These predictions were then linked to the observed ecotype abundances and ecosystem organization. Most recently in a preprint by <xref ref-type="bibr" rid="B88">R&#xe9;gimbeau et&#xa0;al. (2023)</xref>, the <italic>Prochlorococcus</italic> strain MED4 GSM (<xref ref-type="bibr" rid="B72">Ofaim et&#xa0;al., 2021</xref>) was integrated into Earth System Models (ESMs) to bridge the gap between current ESMs understanding of nutrient limitations, phenotypic, traits, and the available genome-centered information (<xref ref-type="bibr" rid="B88">R&#xe9;gimbeau et&#xa0;al., 2023</xref>). By incorporating the metabolic diversity of <italic>Prochlorococcus</italic>, the study explores the impact of nutritional constraints on phytoplankton physiology and biogeochemical functions, emphasizing the potential of genome-enabled ESMs to more accurately quantify contributions to dissolved organic carbon production.</p>
<p>The creation of a single-celled stoichiometric mass balance model of these major primary producers would assist in elucidating the influence of changes in nutrient availability on cellular processes, elemental composition, and growth, which in turn impact global carbon, nitrogen, and phosphorus budgets. Accordingly, this proof-of-concept MAGMA model could be applied to other ecologically important organisms and used in disparate ecosystems.</p>
</sec>
<sec id="s8">
<title>Example developmental process for MAGMA</title>
<p>We next present a methodology for developing a joint GSM-macromolecular allocation model, MAGMA, for the cyanobacterium <italic>Parasynechococcus marenigrum</italic> (formerly known as <italic>Synechococcus</italic> sp. WH8102), to represent one of the most abundant phytoplankton genera in the ocean (<xref ref-type="bibr" rid="B13">Coutinho et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B25">Garcia et&#xa0;al., 2016</xref>). This organism constitutes a major and pervasive component of marine ecosystems (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>), inhabiting a range of habits from coastal to pelagic waters from subtropical to high latitudes (<xref ref-type="bibr" rid="B4">Bertilsson et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B92">Rost et&#xa0;al., 2003</xref>). Furthermore, a substantial body of research has evaluated the elemental stoichiometry of <italic>P. marenigrum</italic>&#x2019;s under diverse nutrient conditions, making it an optimal model organism for assessing the feasibility of our MAGMA approach (<xref ref-type="bibr" rid="B105">Su et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B109">Tetu et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B47">Kretz et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B63">Mouginot et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B25">Garcia et&#xa0;al., 2016</xref>). The WH8102 strain has been established as a model organism due to the availability of its fully sequenced genome and its capacity for genetic manipulation (<xref ref-type="bibr" rid="B79">Palenik et&#xa0;al., 2003</xref>). As indicated by the Genome Taxonomy Database (GTDB), the species cluster for <italic>P. marenigrum</italic> WH8012 encompasses seven high-quality (<xref ref-type="bibr" rid="B81">Parks et&#xa0;al., 2022</xref>) representative marine genomes from disparate geographical regions (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>). The remaining representative genomes of this cluster include: WH8103, which was isolated from the Sargasso Sea; A18-40 and A18-46.1, which were isolated in the Atlantic Ocean; BOUM118, which was isolated from the Mediterranean Sea; RS9915, which was isolated from the Indian Ocean; and YX04-3, which was isolated in the South China Sea. The type strain of the species is WH8102, a strain isolated from the Sargasso Sea in the Atlantic Ocean. The creation of a <italic>P. marenigrum</italic> pan-GSM from these seven genomes would be advantageous for the purpose of capturing the diverse functions exhibited by the organisms across different marine environments. However, there is currently no GSM resource available for WH8102, nor for a closely related cyanobacteria GSM, as their average nucleotide identities (ANI) are less than 97% similar (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Comparison of <italic>Parasynechococcus marenigrum</italic> WH8102 distribution and GSM. <bold>(A)</bold> Isolation location of <italic>P. marenigrum</italic> strains mapped onto global ocean N:P of total phytoplankton biomass. <bold>(B)</bold> Average nucleotide identity (ANI) between <italic>P. marenigrum</italic> strains and current existing GSMs of freshwater cyanobacteria <italic>S. elongatus</italic> PCC 7942 and <italic>Synechocystis</italic> sp. PCC6803, and marine <italic>Prochlorococcus</italic> MED4. <bold>(C)</bold> Unique and shared KEGG reactions between the WH8102 draft pan-GSM and <italic>S. elongatus</italic> PCC 7942 and <italic>Synechocystis</italic> sp. PCC6803. Source: <bold>(A)</bold> adapted from <xref ref-type="bibr" rid="B75">Inomura et al. (2022)</xref> under <uri xlink:href="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0 license</uri>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1505025-g003.tif"/>
</fig>
<sec id="s8_1">
<title>Step 1: reconstructing a pangenome-scale metabolic model</title>
<p>Seven high-quality genomes representing the <italic>P. marenigrum</italic> species cluster were obtained from the GTDB, release 220 (<xref ref-type="bibr" rid="B81">Parks et&#xa0;al., 2022</xref>). The ANI was determined in relation to strain WH8102 using fastANI (<xref ref-type="bibr" rid="B41">Jain et&#xa0;al., 2018</xref>). The genomes of the <italic>P</italic>. <italic>marenigrum</italic> strains exhibited ANI values exceeding 97% (with an average of 98.37% &#xb1; 0.46%), as indicated in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>. These values were observed in comparison to the reference genome of <italic>P</italic>. <italic>marenigrum</italic> WH8102 (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>). The genomes were annotated with Prokka (<xref ref-type="bibr" rid="B97">Seemann, 2014</xref>) using the default settings and with <italic>-genus Synechococcus</italic>. The average size of the seven genomes was 2.42 Mb &#xb1; 0.047 Mb, with an average of approximately 2,690 &#xb1; 46 proteins.</p>
<p>A pangenome-scale metabolic model was constructed using gapseq v. 1.3.1 (<xref ref-type="bibr" rid="B128">Zimmermann et&#xa0;al., 2021</xref>) with the &#x2018;<italic>doall&#x2019;</italic> command using the protein fasta file derived from all genomes. Reaction identifiers and names that were absent from the data set were manually curated from the Kyoto Encyclopedia of Genes and Genomes (KEGG) (<xref ref-type="bibr" rid="B42">Kanehisa et&#xa0;al., 2021</xref>), BiGG (<xref ref-type="bibr" rid="B43">King et&#xa0;al., 2016</xref>), and ModelSeed (<xref ref-type="bibr" rid="B96">Seaver et&#xa0;al., 2020</xref>) databases.</p>
</sec>
<sec id="s8_2">
<title>Step 2: tuning and validating a robust GSM for the WH8102 strain cluster</title>
<p>To build on the basic pangenome-scale model and produce a model that can accurately carry flux through the network to produce realistic estimates of biomass production, macromolecular composition, and biomass stoichiometry, a multi-stage workflow that involves multiple rounds of literature review, gap filling, refinement and validation is necessary (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>) (<xref ref-type="bibr" rid="B110">Thiele and Palsson, 2010</xref>; <xref ref-type="bibr" rid="B46">Knoop et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B70">Norsigian et&#xa0;al., 2020</xref>). The existence of other balanced and experimentally validated cyanobacterial GSMs, such as iJN678 for <italic>Synechocystis</italic> PCC6803 (<xref ref-type="bibr" rid="B46">Knoop et&#xa0;al., 2013</xref>) and iJB785 for <italic>Synechococcus</italic> PCC7942 (<xref ref-type="bibr" rid="B8">Broddrick et&#xa0;al., 2016</xref>), provides an excellent foundation for the construction of the WH8102 model, given that they are all within the Synechococcales order (<xref ref-type="bibr" rid="B114">Trautmann et&#xa0;al., 2012</xref>). However, the global distribution of the Synechococcales in marine and freshwater environments (<xref ref-type="bibr" rid="B9">Callieri et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B18">Dvo&#x159;&#xe1;k et&#xa0;al., 2014</xref>) suggests that they likely differ significantly in their nutrient utilization and metabolic pathways. Indeed, considerable variation is evident not only in their genetic similarity (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>) but also metabolically (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3C</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5A</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Flow chart showing the suggested workflow for building and tuning the pan-WH8102 GSM ready for use in cFBA. We approximate 6-8 months to complete the workflow, depending on the availability of necessary data and amount of QA/QC required.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1505025-g004.tif"/>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>
<bold>(A)</bold> Comparison of biomass composition as macromolecular precursors between the <italic>P. marenigrum WH8102</italic> pangenome, <italic>S. elongatus</italic> PCC 7942, <italic>Synechocystis</italic> sp. PCC6803, and <italic>Prochlorococcus</italic> sp. MED4 GSM. <bold>(B)</bold> Biomass precursor C:N:P stoichiometry and total biomass C:N:P stoichiometry estimated from GSM metabolite formulas and reaction stoichiometry for the three published models.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-12-1505025-g005.tif"/>
</fig>
<p>While our proposed integrated modeling approach will facilitate this process by establishing realistic bounds for macromolecular allocation and biomass composition, additional detailed information is required regarding the specific metabolites and reactions from which the macromolecules are produced.</p>
</sec>
<sec id="s8_3">
<title>Step 3: accounting for strain/species-specific metabolism</title>
<p>A comparison of the <italic>Synechocystis</italic> PCC6803 (iJN678), <italic>Synechococcus elongatus</italic> PCC7942 (iJB785) and <italic>Prochlorococcus MED4</italic> (iJC581) models&#x2019; metabolic pathways (using KEGG IDs) with our WH8102 pangenome model reveals that approximately 19% of the metabolic reactions present in the models are shared among all four of the strains/strain clusters (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3C</bold>
</xref>). Furthermore, additional pairwise overlaps of metabolic reactions were observed between the strains, representing approximately 10% to 20% of the reactions. Additionally, the <italic>Synechocystis</italic> PCC6803, <italic>Synechococcus</italic> PCC7942, and <italic>Prochlorococcus</italic> MED4 models exhibited approximately 2 to 20% of reactions that were exclusive to their respective models. In contrast, the WH8102 pan genome model displayed a higher proportion of unique metabolic reactions, with approximately 27% of its reactions not shared by either of the other strains. This reflects significant variations in habitat, as well as in the acquisition, use, and storage of carbon, nitrogen, and phosphorus (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A, B</bold>
</xref>). These differences must be taken into account when developing the pan-WH8102 model and constructing the cluster-specific biomass objective function. For instance, <italic>Synechocystis</italic> PCC6803 is a facultative photoautotroph whereas <italic>Synechococcus</italic> PCC7942 and WH8102 are both obligate photoautotrophs (<xref ref-type="bibr" rid="B79">Palenik et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B100">Six et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B6">Billis et&#xa0;al., 2014</xref>). This distinction implies that the iJN678 biomass objective function is, in fact, composed of three discrete biomass reactions, representing three distinct trophic states and carbon metabolic pathways for autotrophy, heterotrophy, and mixotrophy. Accordingly, the iJB785 model would be the more appropriate model to inform the construction of the photosynthetically-dependent components of the biomass objective function for pan-WH8102, although key differences in photophysiology would also need to be considered.</p>
<p>Freshwater strains of cyanobacteria, such as <italic>Synechococcus</italic> PCC 7942, possess the ability to adjust the ratios of phycocyanin and phycoerythrin in their pigment composition in response to changes in light color. In contrast, the marine <italic>P</italic>. <italic>marenigrum</italic> WH8102 strain is unable to adapt its pigment composition in response to changes in light color, and instead exhibits a pigment composition similar to other marine strains, which possess unique phycobilisome components not found in freshwater species.</p>
<p>These components include R-phycocyanin II and two forms of phycoerythrin (PEI and PEII). Marine strains also exhibit a higher light tolerance, which allows them to adapt to the varying light conditions present in the deep, oligotrophic ocean (<xref ref-type="bibr" rid="B100">Six et&#xa0;al., 2004</xref>). This is in contrast to <italic>Prochlorococcus</italic> MED4, which is adapted to high light levels at the ocean surface (<xref ref-type="bibr" rid="B103">Steglich et&#xa0;al., 2006</xref>) and has a unique pigment composition (<xref ref-type="bibr" rid="B82">Partensky et&#xa0;al., 1999</xref>). It is therefore essential to exercise caution with regard to the light- and pigment-dependent aspects of the model, including the pigment composition specified in the final biomass objective function.</p>
<p>In addition to differences in photophysiology, key differences in nutrient metabolism will also need to be addressed because the strategies employed for the acquisition, processing, and allocating of nitrogen and phosphorus likely reflect the scarcity observed in the oligotrophic ocean in comparison to fresh and coastal waters. Indeed, the <italic>P. marenigrum</italic> strain cluster used in our pangenome model inhabits the nutrient-poor open ocean, a habitat also shared by <italic>Prochlorococcus</italic> MED4 while the freshwater (<italic>Synechocystis</italic> sp 6803, <italic>Synechococcus</italic> sp. 7942) and brackish/coastal (<italic>Synechococcus</italic> sp. 7002) species for which GSMs have been developed are adapted to shallower, nutrient-rich coastal and inland waters.</p>
<p>The open ocean strains (MED4 and WH8102) lack the ability to fix nitrogen and instead rely on urea as their primary N source, with occasional NOx/NH3 inputs (<xref ref-type="bibr" rid="B79">Palenik et&#xa0;al., 2003</xref>). They primarily scavenge for inorganic P with high-affinity phosphate-binding proteins (<xref ref-type="bibr" rid="B85">Ranjit et&#xa0;al., 2024</xref>). MED4 on the other hand is unable to utilize NO<sub>x</sub> and is entirely reliant on urea and NH<sub>4</sub> as N sources (<xref ref-type="bibr" rid="B26">Garc&#xed;a-Fern&#xe1;ndez et&#xa0;al., 2004</xref>). The utilization of urea as a primary nitrogen source renders these marine strains susceptible to limitation by nickel, which is a vital component of Ni-containing urease (<xref ref-type="bibr" rid="B17">Dupont et&#xa0;al., 2008</xref>). Furthermore, compelling genomic evidence indicates that the WH8102 strain in particular has obligate requirements for Ni even when obtaining N as NOx or NH<sub>4</sub> (<xref ref-type="bibr" rid="B17">Dupont et&#xa0;al., 2008</xref>). While there are notable similarities between MED4 and WH8102 as open ocean species adapted to oligotrophic environments (<xref ref-type="bibr" rid="B82">Partensky et&#xa0;al., 1999</xref>), WH8102 is more tolerant of varying nutrient conditions (<xref ref-type="bibr" rid="B79">Palenik et&#xa0;al., 2003</xref>) whereas MED4 is more specifically adapted to low nutrient conditions (<xref ref-type="bibr" rid="B91">Rocap et&#xa0;al., 2003</xref>). This has resulted in MED4 having a considerably smaller and more streamlined genome and metabolism with a paucity of regulatory genes (<xref ref-type="bibr" rid="B16">Dufresne et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B26">Garc&#xed;a-Fern&#xe1;ndez et&#xa0;al., 2004</xref>).</p>
<p>Finally, in order to study temperature-dependent effects using a constrained FBA, it is necessary to identify biologically and thermodynamically (or enzymatically and energetically) realistic temperature-dependent responses in the metabolic reactions and formulation of biomass. This then would allow the reaction bounds of the model to be constrained in a way that is consistent with the observed responses. The current temperature-dependent cFBA models for microbes were developed for polyphosphate- and glycogen-accumulating organisms (PAO and GAO) in wastewater (<xref ref-type="bibr" rid="B54">Lopez-Vazquez et&#xa0;al., 2009</xref>). The temperature coefficients may be of broad relevance in providing thermodynamically reasonable bounds. However, metabolism and allocation of resources of the organisms in question differ substantially. Integration with the macromolecular allocation model would be advantageous in this area. While it is not feasible to adjust temperature-coefficients for every reaction, temperature-based macromolecular data could serve as an independent dataset for validating the cFBA predictions and could be employed to develop broader level temperature constraints on biomass reaction formation, growth, photosynthetic reactions, uptake and assimilation rates, and cellular maintenance. In other words, the data can be combined to validate energetic constraints on select reactions/pathways using more general values, and species-specific macromolecular allocation data can be used to validate temperature-dependent biological constraints.</p>
</sec>
</sec>
<sec id="s9" sec-type="discussion">
<title>Discussion</title>
<p>A comprehensive understanding of the effects of global change on the oceans and their biogeochemical cycles requires an examination of these effects at all levels of biological organization. A considerable proportion of the currently unknown or poorly characterized effects of temperature on nutrient flux (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) occur at the individual and molecular level. These instances underscore the knowledge gap that our MAGMA model would help to bridge, helping to understand how microbes evolve resource allocation strategies in response to shifting environmental pressures and providing insight into the metabolic adaptations that drive ecological and evolutionary dynamics.</p>
<p>The combined model in MAGMA has the potential to advance various fields, including, microbiology, ecology, biogeochemistry and global change sciences. This integration allows the metabolic network to operate within physiological and ecological constraints that are responsive to environmental conditions (such as nutrient availability and temperature), as opposed to utilizing fixed or arbitrary constraints. This integration thus bridges the gap between whole-cell stoichiometry (addressed by the macromolecular model) and detailed metabolic pathways (captured by FBA), allowing us to connect cellular-scale elemental allocation patterns to specific metabolic fluxes. This provides a more comprehensive understanding of cellular stoichiometry in response to environmental changes and leads to more reliable estimates of growth rates, nutrient uptake, and byproduct formation under different scenarios.</p>
<p>Furthermore, MAGMA would also allow the examination of how trade-offs at the macromolecular level (e.g., allocation to proteins vs. lipids) are reflected in specific metabolic trade-offs (e.g., energy allocation to different biosynthetic pathways) and elucidate the mechanisms by which environmental changes (such as warming or nutrient limitation) impact cellular composition. For example, one could trace how a change in P availability affects lipid allocation in the macromolecular model, and then see how this cascades through various metabolic pathways in the FBA. Alternatively, we could explore how changes in protein:lipid ratios under different nutrient regimes affect energy metabolism or nutrient acquisition capabilities. By predicting the impact of environmental conditions on cellular composition and metabolism in more detail, this integrated approach could provide more realistic inputs for ecosystem-level models of nutrient cycling and energy flow.</p>
<p>The MAGMA framework is sufficiently general to accommodate a range of &#x2018;omics data. For instance, genomic and metagenomic data may offer a suite of community members to be analyzed with MAGMA to link inputs and outputs of resources shared across an ecosystem. Likewise, information from closely related species and/or strains can be used to see how genomic variations, across spatial scales, manifest into observable phenotypic traits, such as nutrient uptake rates or stress tolerance. Transcriptomic, metabolomic, lipidomic, and proteomic data will provide more precise measurements of expression regulation and actual metabolic fluxes. These are crucial components in understanding the &#x201c;bio&#x201d; in biogeochemical cycling, as well as in understanding how these processes respond to changing environments.</p>
<p>We note that MAGMA need not be applied only to steady-state systems but preferably to dynamic ones. For instance, if fluctuations of environmental parameters such as light and nutrients are known, these may be incorporated into the model to predict time-varying macromolecular allocation, elemental stoichiometry, growth rate, and metabolic fluxes. Both macromolecular (<xref ref-type="bibr" rid="B74">Omta et&#xa0;al., 2024</xref>) and FBA (<xref ref-type="bibr" rid="B36">H&#xf6;ffner et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B29">Gomez et&#xa0;al., 2014</xref>) models have dynamic versions, and these frameworks may be applied to MAGMA to accommodate the dynamic nature of the environment and cellular responses to it. Moreover, time-variant &#x2018;omics data may enable MAGMA to progressively narrow down the potential fluxes for different time points. The resulting macromolecular allocation and elemental stoichiometry may be compared with time-variant data for these parameters.</p>
<p>Moreover, once implemented in comprehensive ocean simulations, MAGMA offers a distinctive instrument for examining a range of significant unresolved biogeochemical questions. For example, elucidating which factors contribute to the maintenance of deep ocean N:P:O<sub>2</sub> ratios approaching the Redfield ratio (<xref ref-type="bibr" rid="B31">Gruber and Deutsch, 2014</xref>). Additionally, it would be beneficial to ascertain the resilience of this to anthropogenic perturbations, such as the application of fertilizers. The MAGMA model may facilitate an investigation into the potential regulation of the stoichiometry of export production at the ecophysiological level and the extent to which it may contribute to the resilience of deep ocean stoichiometry under anthropogenic influences.</p>
<p>To build MAGMA, biochemical and metabolic data are essential. The useful measurements include, elemental mass and ratios, macromolecular measurements, metabolic rates, especially major ones including carbon fixation, respiration, and nutrient uptake. At the same time, environmental data are highly informative, as they help the model to pin down the relationship between biochemistry and environment. These data include temperature, nutrient concentration, concentration of other inorganic molecules (e.g., O<sub>2</sub>) and light intensity. These environmental parameters may also inversely estimate elemental stoichiometry related values (e.g., <xref ref-type="bibr" rid="B15">DeVries and Deutsch, 2014</xref>). Ultimately, MAGMA will facilitate the linkage between theoretical, experimental, and observational studies to provide valuable insights into the impacts of global change on marine ecosystems, particularly in terms of species-specific responses, complex feedbacks, and the potential for nutrient imbalances.</p>
</sec>
</body>
<back>
<sec id="s10" sec-type="author-contributions">
<title>Author contributions</title>
<p>CLCJ: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. JC-C: Data curation, Investigation, Methodology, Project administration, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. MS: Data curation, Investigation, Methodology, Project administration, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. MSS: Data curation, Formal analysis, Investigation, Methodology, Project administration, Resources, Software, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. KI: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s11" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by the Simons Foundation (LS-ECIAMEE-00001549 to KI) and the U.S. National Science Foundation (OCE-2048373, subaward SUB0000525 from Princeton University to KI). MSS is supported by the NASA Astrobiology Postdoctoral Program, administered by Oak Ridge Associated Universities under contract with NASA. CLCJ is supported by the EPA&#x2019;s Great Lakes Restoration Initiative (GLRI). MS is supported by the German Research Foundation (DFG, 379417748; research unit, FOR 2716). We thank these foundations for their support.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We thank the AWI for providing access to the guest research facilities of the Biologische Anstalt Helgoland during the Woodstoich Workshop, grant number AWI_BAH_34. We thank everyone who supported and enabled Woodstoich 5 workshop, especially C&#xe9;dric Meunier and Maarten Boersma for organizing a productive and groovy event for early career researchers. We thank Jim Elser for his constructive feedback on the manuscript and mentorship through the process. We thank Eric Pelletier for useful discussions and Dieter Wolf-Gladrow for insightful comments on the manuscript drafts. We thank the reviewers, whose comments and suggestions led to substantial improvements on this manuscript.</p>
</ack>
<sec id="s12" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s13" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s14" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fevo.2024.1505025/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fevo.2024.1505025/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.csv" id="SM1" mimetype="text/csv"/>
</sec>
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