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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Microbiol.</journal-id>
<journal-title>Frontiers in Microbiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Microbiol.</abbrev-journal-title>
<issn pub-type="epub">1664-302X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmicb.2023.1126030</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Microbiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Highlighting the potential of <italic>Synechococcus elongatus</italic> PCC 7942 as platform to produce &#x03B1;-linolenic acid through an updated genome-scale metabolic modeling</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Santos-Merino</surname>
<given-names>Mar&#x00ED;a</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<xref rid="fn0001" ref-type="author-notes"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/657412/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gargantilla-Becerra</surname>
<given-names>&#x00C1;lvaro</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1939640/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>de la Cruz</surname>
<given-names>Fernando</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Nogales</surname>
<given-names>Juan</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
<xref rid="c002" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/110865/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Instituto de Biomedicina y Biotecnolog&#x00ED;a de Cantabria, Universidad de Cantabria&#x2014;CSIC</institution>, <addr-line>Santander, Cantabria</addr-line>, <country>Spain</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Systems Biology, Centro Nacional de Biotecnolog&#x00ED;a (CSIC)</institution>, <addr-line>Madrid</addr-line>, <country>Spain</country></aff>
<aff id="aff3"><sup>3</sup><institution>Interdisciplinary Platform for Sustainable Plastics towards a Circular Economy-Spanish National Research Council (SusPlast-CSIC)</institution>, <addr-line>Madrid</addr-line>, <country>Spain</country></aff>
<author-notes>
<fn id="fn0002" fn-type="edited-by"><p>Edited by: Xiaoming Tan, Hubei University, China</p></fn>
<fn id="fn0003" fn-type="edited-by"><p>Reviewed by: Weiwen Zhang, Tianjin University, China; Fei Gan, University of California, Berkeley, United States</p></fn>
<corresp id="c001">&#x002A;Correspondence: Mar&#x00ED;a Santos-Merino, <email>santosm7@msu.edu</email></corresp>
<corresp id="c002">Juan Nogales, <email>j.nogales@csic.es</email></corresp>
<fn id="fn0001" fn-type="present-address"><p><sup>&#x2020;</sup>Present address: Mar&#x00ED;a Santos-Merino, MSU-DOE Plant Research Laboratory, Michigan State University, East Lansing, MI, United States</p></fn>
<fn id="fn0004" fn-type="other"><p>This article was submitted to Microbial Physiology and Metabolism, a section of the journal Frontiers in Microbiology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1126030</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>01</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>02</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Santos-Merino, Gargantilla-Becerra, de la Cruz and Nogales.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Santos-Merino, Gargantilla-Becerra, de la Cruz and Nogales</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>Cyanobacteria are prokaryotic organisms that capture energy from sunlight using oxygenic photosynthesis and transform CO<sub>2</sub> into products of interest such as fatty acids. <italic>Synechococcus elongatus</italic> PCC 7942 is a model cyanobacterium efficiently engineered to accumulate high levels of omega-3 fatty acids. However, its exploitation as a microbial cell factory requires a better knowledge of its metabolism, which can be approached by using systems biology tools. To fulfill this objective, we worked out an updated, more comprehensive, and functional genome-scale model of this freshwater cyanobacterium, which was termed <italic>i</italic>MS837. The model includes 837 genes, 887 reactions, and 801 metabolites. When compared with previous models of <italic>S. elongatus</italic> PCC 7942, <italic>i</italic>MS837 is more complete in key physiological and biotechnologically relevant metabolic hubs, such as fatty acid biosynthesis, oxidative phosphorylation, photosynthesis, and transport, among others. <italic>i</italic>MS837 shows high accuracy when predicting growth performance and gene essentiality. The validated model was further used as a test-bed for the assessment of suitable metabolic engineering strategies, yielding superior production of non-native omega-3 fatty acids such as &#x03B1;-linolenic acid (ALA). As previously reported, the computational analysis demonstrated that <italic>fabF</italic> overexpression is a feasible metabolic target to increase ALA production, whereas deletion and overexpression of <italic>fabH</italic> cannot be used for this purpose. Flux scanning based on enforced objective flux, a strain-design algorithm, allowed us to identify not only previously known gene overexpression targets that improve fatty acid synthesis, such as Acetyl-CoA carboxylase and &#x03B2;-ketoacyl-ACP synthase I, but also novel potential targets that might lead to higher ALA yields. Systematic sampling of the metabolic space contained in <italic>i</italic>MS837 identified a set of ten additional knockout metabolic targets that resulted in higher ALA productions. <italic>In silico</italic> simulations under photomixotrophic conditions with acetate or glucose as a carbon source boosted ALA production levels, indicating that photomixotrophic nutritional regimens could be potentially exploited <italic>in vivo</italic> to improve fatty acid production in cyanobacteria. Overall, we show that <italic>i</italic>MS837 is a powerful computational platform that proposes new metabolic engineering strategies to produce biotechnologically relevant compounds, using <italic>S. elongatus</italic> PCC 7942 as non-conventional microbial cell factory.</p>
</abstract>
<kwd-group>
<kwd>cyanobacteria</kwd>
<kwd><italic>Synechococcus elongatus</italic> PCC 7942</kwd>
<kwd>genome-scale metabolic model</kwd>
<kwd>strain-designing algorithms</kwd>
<kwd>&#x03B1;-linolenic acid</kwd>
</kwd-group>
<counts>
<fig-count count="8"/>
<table-count count="4"/>
<equation-count count="6"/>
<ref-count count="78"/>
<page-count count="16"/>
<word-count count="11245"/>
</counts>
</article-meta>
</front>
<body>
<sec id="sec1" sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>Cyanobacteria are promising host organisms for the production of compounds with biotechnological applications (<xref ref-type="bibr" rid="ref57">Santos-Merino et al., 2019</xref>). Their ability to utilize solar energy to fix CO<sub>2</sub> makes them particularly attractive, especially in an era where the urge of development of sustainable biotechnological processes has gained an increased attention (<xref ref-type="bibr" rid="ref51">Rajneesh et al., 2017</xref>). As bioproduction platforms, cyanobacteria offer several advantages when compared to plants and algae, such as higher photosynthetic efficiencies (<xref ref-type="bibr" rid="ref77">Zahra et al., 2020</xref>) and ease of genetic manipulation (<xref ref-type="bibr" rid="ref3">Berla et al., 2013</xref>). The model cyanobacterium <italic>Synechococcus elongatus</italic> PCC 7942 has been widely explored as a cell factory to produce several value-added compounds, including 2,3-butanediol (<xref ref-type="bibr" rid="ref44">Oliver et al., 2013</xref>; <xref ref-type="bibr" rid="ref42">Nozzi and Atsumi, 2015</xref>) and omega-3 fatty acids (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>, <xref ref-type="bibr" rid="ref56">2022</xref>), among others.</p>
<p>Cyanobacteria are able to naturally produce short-chain omega-3 fatty acids, such as alpha-linolenic acid (ALA) and stearidonic acid (SDA). In the quest to find more sustainable, suitable, and economically viable hosts for the production of omega-3 fatty acids, cyanobacteria, and microalgae have emerged as alternative organisms to native (i.e., fish and plant oils and oleaginous microorganisms) and non-native sources (e.g., genetic engineering organisms) (<xref ref-type="bibr" rid="ref17">Gal&#x00E1;n et al., 2019</xref>; <xref ref-type="bibr" rid="ref49">Patel et al., 2020</xref>). By contrast, cyanobacteria are preferred organisms over microalgae due to their small genomes that generally facilitates manipulation and the availability of a large number of advanced genome editing tools for cyanobacterial genetic engineering (<xref ref-type="bibr" rid="ref67">Vavitsas et al., 2021</xref>). In the last years, extensive research efforts have been focused on the metabolic engineering of cyanobacterial strains to enhance ALA and SDA production (<xref ref-type="bibr" rid="ref11">Dong et al., 2016</xref>; <xref ref-type="bibr" rid="ref76">Yoshino et al., 2017</xref>; <xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>; <xref ref-type="bibr" rid="ref50">Poole et al., 2020</xref>; <xref ref-type="bibr" rid="ref56">Santos-Merino et al., 2022</xref>). In many of the cases, the enzymes directly involved in the synthesis of omega-3 fatty acids (i.e., desaturases) have been overexpressed to increase the production yields. There are only a couple of reports where other targets have been exploited to increase omega-3 fatty acids, such as enzymes involved in the saturated fatty acid synthesis (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>, <xref ref-type="bibr" rid="ref56">2022</xref>) and the vesicle-inducing protein in plastids (Vipp1), a thylakoid membrane formation enhancer (<xref ref-type="bibr" rid="ref50">Poole et al., 2020</xref>). Limited exploration has been done to identify additional targets in other competitive metabolic pathways with the aim to increase omega-3 fatty acid titers. One of the major obstacles to make omega-3 fatty acid production by engineered cyanobacteria practical and cost-effective is the low productivity levels achieved in these engineered strains (<xref ref-type="bibr" rid="ref61">Shinde et al., 2022</xref>). Traditional metabolic engineering strategies are the most common avenues used to increase production yields in cyanobacteria. However, since these classical technologies are expensive, time-consuming, and labor-intensive processes, computational biology strategies are emerging as powerful tools to overcome these limitations (<xref ref-type="bibr" rid="ref73">Xu C. et al., 2013</xref>; <xref ref-type="bibr" rid="ref21">Gudmundsson and Nogales, 2021</xref>).</p>
<p>Genome-scale models (GEMs) are based on the annotated genome sequence and describe metabolic pathways as stoichiometric coefficients and mass balances of participating metabolites (<xref ref-type="bibr" rid="ref20">Gudmundsson and Nogales, 2015</xref>). They can be used as computational test-bed to estimate metabolic fluxes using numerical optimization, thus offering a systems-biology tool not only to link genotype to phenotype but also to analyze and contextualize the metabolic capabilities of organisms (<xref ref-type="bibr" rid="ref43">Oberhardt et al., 2009</xref>). GEMs have been successfully applied to analyze and guide the metabolism of cyanobacteria for production of several target compounds from CO<sub>2</sub> (<xref ref-type="bibr" rid="ref40">Nogales et al., 2013</xref>; <xref ref-type="bibr" rid="ref57">Santos-Merino et al., 2019</xref>; <xref ref-type="bibr" rid="ref22">Hendry et al., 2020</xref>). To date, three GEMs have been developed for <italic>S. elongatus</italic> PCC 7942: <italic>i</italic>Syf715 (<xref ref-type="bibr" rid="ref65">Triana et al., 2014</xref>), <italic>i</italic>JB785 (<xref ref-type="bibr" rid="ref4">Broddrick et al., 2016</xref>), and <italic>i</italic>JB792 (<xref ref-type="bibr" rid="ref5">Broddrick et al., 2019</xref>). However, these existing models have paid little attention to fatty acid biosynthetic pathways, making it harder to use them as tool to analyze the potential of <italic>S. elongatus</italic> PCC 7942 toward the production of omega-3 fatty acids and related compounds. Then, an updated GEM with a high-quality annotation of fatty acid biosynthetic pathways is urgently required for accurately contextualizing fatty acid metabolism while predicting nutritional, physiological, and genetic scenarios for overproducing omega-3 fatty acids.</p>
<p>Full-facing this challenge, we present here <italic>i</italic>MS837, an updated GEM of <italic>S. elongatus</italic> PCC 7942 using <italic>i</italic>JB792 as a foundation (<xref ref-type="bibr" rid="ref5">Broddrick et al., 2019</xref>). We validate the accuracy of our GEM using growth performance and gene essentiality predictions. The validated GEM was subsequently used to assess the production of omega-3 fatty, identifying the overexpression of <italic>fabF</italic> as key metabolic target to increase ALA production in agreement with published experimental data (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>). Next, we used the model to predict possible engineered metabolic targets to enhance ALA production, identifying a set of ten additional knock-out metabolic targets that resulted in higher yields of this omega-3 fatty acid, albeit not growth-coupled. In addition, mixotrophic conditions using different carbon sources (i.e., glucose and acetate) were evaluated <italic>in silico</italic>, boosting the ALA yields obtained in both cases. These predictions will serve as a starting point for future efforts to design strains and conditions that will potentially improve omega-3 fatty acid production in cyanobacteria.</p>
</sec>
<sec id="sec2" sec-type="results">
<label>2.</label>
<title>Results</title>
<sec id="sec3">
<label>2.1.</label>
<title>Properties of the <italic>i</italic>MS837 GEM metabolic network</title>
<p><italic>i</italic>MS837 was constructed using as a template the previously published GEM, <italic>i</italic>JB792 (<xref ref-type="bibr" rid="ref5">Broddrick et al., 2019</xref>). We expanded <italic>i</italic>JB792 by adding new content, including 46 genes, 24 metabolites, and 29 reactions by means of a detailed manual curation based on literature legacy and by comparison with other published high-quality GEMs from cyanobacteria [i.e., <italic>i</italic>JN678 from <italic>Synechocystis</italic>, sp. PCC 6803 (<xref ref-type="bibr" rid="ref39">Nogales et al., 2012</xref>)] and from heterotrophic bacteria [i.e., <italic>i</italic>JN1462 from <italic>Pseudomonas putida</italic> KT2440 (<xref ref-type="bibr" rid="ref41">Nogales et al., 2020</xref>)] (<xref rid="tab1" ref-type="table">Table 1</xref>; <xref ref-type="supplementary-material" rid="SM5">Supplementary Table S1</xref>). Overall, the largest portion of the new metabolic content of <italic>i</italic>MS837 was related with the fatty acid metabolism including 22 new reactions related to this subsystem (<xref rid="fig1" ref-type="fig">Figure 1A</xref>). In addition, other 11 reactions were included in <italic>i</italic>MS837, whereas four reactions related to the intracellular demands were removed. These new reactions demonstrate the uniqueness of <italic>i</italic>MS837, especially regarding the modeling of the fatty acid biosynthesis.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Properties of the different GEM models of <italic>S. elongatus</italic> PCC 7942.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th>Values for</th>
</tr>
<tr>
<th align="center" valign="top"><italic>i</italic>MS837</th>
<th align="center" valign="top"><italic>i</italic>JB792</th>
<th align="center" valign="top"><italic>i</italic>JB785</th>
<th align="center" valign="top"><italic>i</italic>Syf715</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Metabolites</td>
<td align="center" valign="middle">801</td>
<td align="center" valign="top">777</td>
<td align="center" valign="middle">768</td>
<td align="center" valign="middle">838</td>
</tr>
<tr>
<td align="left" valign="middle">Reactions</td>
<td align="center" valign="middle">887</td>
<td align="center" valign="top">858</td>
<td align="center" valign="middle">850</td>
<td align="center" valign="middle">851</td>
</tr>
<tr>
<td align="left" valign="middle">Genes</td>
<td align="center" valign="middle">837</td>
<td align="center" valign="top">791</td>
<td align="center" valign="middle">785</td>
<td align="center" valign="middle">715</td>
</tr>
<tr>
<td align="left" valign="middle">Reference</td>
<td align="center" valign="middle">This work</td>
<td align="center" valign="top">
<xref ref-type="bibr" rid="ref5">Broddrick et al. (2019)</xref>
</td>
<td align="center" valign="middle">
<xref ref-type="bibr" rid="ref4">Broddrick et al. (2016)</xref>
</td>
<td align="center" valign="middle">
<xref ref-type="bibr" rid="ref65">Triana et al. (2014)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Distribution of reactions and genes added and removed to <italic>i</italic>MS837 based on functional subsystems. <bold>(A)</bold> Summary of reactions added and removed to <italic>i</italic>MS837. <bold>(B)</bold> Summary of genes added to <italic>i</italic>MS837. In both cases, the subsystems where changes have been made are only represented.</p>
</caption>
<graphic xlink:href="fmicb-14-1126030-g001.tif"/>
</fig>
<p>Beyond the important metabolic expansion done, the gene&#x2013;protein-reaction (GPR) associations of several reactions were updated while others were corrected in order to improve the model accuracy (<xref ref-type="supplementary-material" rid="SM2">Supplementary Dataset 1</xref>). For example, reactions involved in glycogen synthesis and degradation were corrected while reactions related to electron transport chain (e.g., Cytochrome <italic>b<sub>6</sub>f</italic> complex, Cytochrome aa3 oxidase, Ferredoxin:NADPH oxidoreductase) were updated, among others. In addition, a meticulous analysis of orphan reactions included in <italic>i</italic>JB792 was carried out in order to identify the genes responsible for such reactions. We manually added 20 new GPRs, which were mainly involved in photosynthesis, respiration, and photorespiration processes (<xref rid="fig1" ref-type="fig">Figure 1B</xref>). The rest of the added genes (i.e., 26) belong to a large variety of subsystems as shown in <xref rid="fig1" ref-type="fig">Figure 1B</xref>. Finally, the biomass objective function (BOF) of <italic>i</italic>JB792 was also updated in <italic>i</italic>MS837 by removing those metabolites that were not necessary for growth (<xref ref-type="supplementary-material" rid="SM2">Supplementary Dataset 1</xref>). The modification of the BOF had associated changes in: (i) pigments and xanthophylls, (ii) cofactor pools, and (iii) lipids.</p>
<p>MEMOTE is a platform that has been developed to promote standardization of GEMs, as well as to assess quality control metrics in order to improve model reproducibility and applicability (<xref ref-type="bibr" rid="ref32">Lieven et al., 2020</xref>). Therefore, we used MEMOTE tool in order to define the completeness, consistency, and interoperability of <italic>i</italic>MS837 when compared with previous models while analyzing potential flaws or shortcomings (<xref ref-type="supplementary-material" rid="SM3">Supplementary Dataset 2</xref>). The overall score for the model was 75% over the 20% estimated for <italic>i</italic>JB792, which suggest a very good level of completeness. The scores in annotation subcategories were increased by adding annotations and Systems Biology Ontology (SBO) terms to metabolites, reactions, and genes in the updated GEM which were not previously included in <italic>i</italic>JB792. The model scored 55% for the critical category of consistency, which represents accuracy in reaction stoichiometry, mass and charge balances, connectivity of metabolites, and reaction cycles. A major gap was found due the lack of annotation of outside references for some genes, metabolites, and reactions. This limitation only will have some impact when using automated tools or scripts; however, its accuracy and usability should not be affected. Taking together, the MEMOTE analysis demonstrated that <italic>i</italic>MS837 is a highly complete and detailed model that can be used as a reference for other GEM constructions.</p>
</sec>
<sec id="sec4">
<label>2.2.</label>
<title>Model validation using gene essentiality prediction</title>
<p>An increase in the number of genes, reactions and metabolites does not always indicate a higher-quality GEM. In order to validate the quality of <italic>i</italic>MS837, we conducted an extensive gene essentiality analysis of the genes included in this GEM by comparing the predicted results <italic>in silico</italic> with available essentiality experimental data for <italic>S. elongatus</italic> PCC 7942 (<xref ref-type="bibr" rid="ref53">Rubin et al., 2015</xref>; <xref rid="fig2" ref-type="fig">Figure 2</xref>). We performed single-gene knockout simulations in <italic>i</italic>MS837 using COBRApy (<xref ref-type="bibr" rid="ref12">Ebrahim et al., 2013</xref>). The model-based gene essentiality predictions showed an overall high-level of accuracy, 85.5% (<xref rid="fig2" ref-type="fig">Figure 2B</xref>). More specifically, the model was able to correctly assign 330 and 333 as essential and non-essential genes, respectively (<xref rid="fig2" ref-type="fig">Figure 2A</xref>; <xref ref-type="supplementary-material" rid="SM6">Supplementary Table S2</xref>). On the contrary, the level of discrepancy found between the predictions of <italic>i</italic>MS837 and the experimental data was pretty low. For instance, 75 genes were incorrectly predicted as essential while only 37 genes were predicted as essential but were found non-essential <italic>in vivo</italic>. Gene essentiality accuracy assignment in GEMs is often biased due large number of non-essential genes (<xref ref-type="bibr" rid="ref70">Wei et al., 2013</xref>). Therefore, to avoid potential bias caused by such effect, we proceed to additionally compute the sensitivity (i.e., proportion of essential genes that have been correctly identified), specificity (i.e., proportion of true negatives that have been correctly predicted), and precision (i.e., the probability that the essential genes were predicted as essential) of our gene essentially prediction (<xref rid="fig2" ref-type="fig">Figure 2B</xref>). We found very high values for all these parameters, suggesting no significant bias, and corroborating the high capacity of <italic>i</italic>MS837 when predicting gene essentiality.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Comparison of gene essentially predictions to experimental results. <bold>(A)</bold> Contingency table of the results obtained for gene essentially predictions using <italic>i</italic>MS837. <bold>(B)</bold> Parameters used to estimate the performance of gene essentially predictions for all GEM of <italic>Synechococcus elongatus</italic> PCC 7942. Gene essentially results obtained <italic>in silico</italic> revealed a high level of accuracy (85.5%), sensitivity (81.5%), specificity (90%) and precision (89.9%) of <italic>i</italic>MS837. Genes with ambiguous essentiality results and not-analyzed <italic>in vivo</italic> were excluded from this analysis (<xref ref-type="supplementary-material" rid="SM6">Supplementary Table S2</xref>).</p>
</caption>
<graphic xlink:href="fmicb-14-1126030-g002.tif"/>
</fig>
<p>On the other hand, when comparing the level of accuracy of <italic>i</italic>MS837 with that from previous <italic>S. elongatus</italic> PCC 7942 GEMs, <italic>i</italic>JB792 (<xref ref-type="bibr" rid="ref5">Broddrick et al., 2019</xref>), <italic>i</italic>JB785 (<xref ref-type="bibr" rid="ref4">Broddrick et al., 2016</xref>), and <italic>i</italic>Syf715 (<xref ref-type="bibr" rid="ref65">Triana et al., 2014</xref>), we found that <italic>i</italic>MS837 scored the highest in terms of accuracy, sensitivity, specificity, and precision (<xref rid="fig2" ref-type="fig">Figure 2B</xref>). Whereas <italic>i</italic>JB792, <italic>i</italic>JB785, and <italic>i</italic>Syf715 were able to correctly assign the 80.3, 79.2, and 60.1% of the genes included in the model as true essential and nonessential, the 80.3, 79.2, and 60.1% of the genes included in the model, <italic>i</italic>MS837 outperforms better that these three GEMs by correctly predicting 85.5% (<xref rid="fig2" ref-type="fig">Figure 2B</xref>; <xref ref-type="supplementary-material" rid="SM6">Supplementary Table S2</xref>). Overall, these results indicate that we have not only expanded the last published GEM of <italic>S. elongatus</italic> PCC 7942 by adding new reactions, metabolites and genes, but also, we have improved its accuracy by increasing its completeness.</p>
</sec>
<sec id="sec5">
<label>2.3.</label>
<title>System evaluation of <italic>S. elongatus</italic> PCC 7942 as a cell factory toward the production of omega-3 fatty acids</title>
<p>The capability of a GEM to provide accurate predictions of experimentally supported data of a target organism&#x2019;s functional states is a key feature in order to assess the accuracy and completeness of the final reconstruction. Once <italic>i</italic>MS837&#x2019;s accuracy and completeness were assessed, the model was ready to be used to characterize metabolic states underlying observed phenotypic functions and as a computational framework for metabolic engineering endeavors. In this regard, we further used <italic>i</italic>MS837 as a test-bed to systematically analyze <italic>S. elongatus</italic> PCC 7942 as a cell factory toward the production of ALA. In order to do that, we first included the non-native ALA synthesis pathways in the GEM of <italic>S. elongatus</italic> PCC 7942, a non-natural ALA producer strain. We used <italic>i</italic>JN678, a well-developed GEM from <italic>Synechocystis</italic> sp. PCC 6803 (<xref ref-type="bibr" rid="ref39">Nogales et al., 2012</xref>) that includes this biosynthetic pathway, since this cyanobacterium is able to naturally produce omega-3 fatty acids (<xref ref-type="bibr" rid="ref63">Tasaka et al., 1996</xref>). A total of 34 reactions and 28 metabolites were added to <italic>i</italic>MS837 in order to produce ALA and accumulate this omega-3 fatty acid in its membranes (<xref ref-type="supplementary-material" rid="SM7">Supplementary Table S3</xref>; <xref ref-type="supplementary-material" rid="SM2">Supplementary Dataset 1</xref>). Among the added reactions to produce ALA in <italic>S. elongatus</italic> PCC 7942, we included the desaturases DesA and DesB (&#x0394;12- and &#x0394;15-desaturases) and all the reactions involved in integrating this omega-3 in the phospholipids of cellular membranes.</p>
<p><italic>In silico</italic>, the production capabilities of a given strain can be shown using production envelope plots, which represent all possible production rates of a selected metabolite and their associated feasible growth rates (<xref ref-type="bibr" rid="ref30">Lewis et al., 2012</xref>). Production envelope for ALA production showed that, although feasible under a real nutritional scenario, the production of this omega-3 fatty acid is not coupled to growth (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S1</xref>). In other words, for all the possible levels of ALA production, the model predicted a decrease in the maximal growth rate. This is not surprising since the synthesis of fatty acids is one of the most energetically expensive process among all the lipid membranes components (<xref ref-type="bibr" rid="ref78">Zhang and Rock, 2009</xref>), and the heterologous production of ALA directly compete with cell growth (<xref ref-type="bibr" rid="ref7">Chen et al., 2014</xref>). Cyanobacteria only produced unsaturated fatty acids in respond to drops in temperature to compensate for the decrease in membrane fluidity, conditions where they do not normally growth. In addition, it is well-established that cyanobacteria are only able to accumulate fatty acids at low temperatures, where the transcripts for <italic>desA</italic> and <italic>desB</italic> desaturases are more abundant (<xref ref-type="bibr" rid="ref54">Sakamoto et al., 1997</xref>; <xref ref-type="bibr" rid="ref33">Ludwig and Bryant, 2012</xref>).</p>
<p>Once demonstrated that the model was able to predict ALA production fluxes, we decided to explore <italic>in silico</italic> previously identified genetic interventions that led to a decrease and an increase in ALA yield (i.e., <italic>fabH</italic> deletion and <italic>fabF</italic> overexpression, respectively) (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>). We used Markov chain Monte Carlo sampling to establish potential differences in the metabolic states between strains by comparing the allowed specific metabolic solution spaces (<xref ref-type="bibr" rid="ref58">Schellenberger and Palsson, 2009</xref>). This flux sampling methodology allowed us to explore the feasible flux solutions in our metabolic network by generating probability distributions of steady-state reaction fluxes (<xref ref-type="bibr" rid="ref23">Herrmann et al., 2019</xref>). We analyzed the fluxes of the reactions involved in the saturated and unsaturated fatty acid synthesis and their probability in each strain.</p>
<p>Firstly, we explored the flux distributions for strains with increased levels of FabF enzyme (3OAS180 reaction in <italic>i</italic>MS837): (i) FabF-UP-2x, with double flux for FabF reaction than the control strain; and (ii) FabF-UP-4x, with quadruple flux for FabF reaction than the control strain (<xref rid="fig3" ref-type="fig">Figure 3</xref>). We observed an overall increase in the flux of reactions involved in the saturated fatty acid synthesis pathway, proportional to the value of FabF flux. Same effect was observed in the flux of the DesC desaturase (DESAT18a). In addition, a large flux for DesA and DesB desaturases (DES::12 and DES::15, respectively) was observed for FabF-UP-4x, but the probability was lower than the minor fluxes observed FabF-UP-2x. These results agree with <italic>in vivo</italic> experimental data linking the overexpression of <italic>fabF</italic> with increased levels of C18:1 (the product of DESAT18a reaction) and ALA (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Flux sampling distributions of main reactions of ALA synthesis for <italic>in silico</italic> FabF overexpression mutants and predicted using <italic>i</italic>MS837. For each reaction, a plot of the probability density versus the predicted flux of the specific reaction is represented. In green, the results obtained for <italic>i</italic>MS837_ALA are represented (Control); in orange, an <italic>in silico</italic> designed strain that has double flux for FabF reaction (3OAS180) than <italic>i</italic>MS837_ALA (FabF-UP-2x); and in blue, an <italic>in silico</italic> designed strain that has quadruple flux for FabF reaction (3OAS180) than <italic>i</italic>MS837_ALA (FabF-UP-4x).</p>
</caption>
<graphic xlink:href="fmicb-14-1126030-g003.tif"/>
</fig>
<p>As a second scenario, we analyzed <italic>in silico</italic> the flux distributions for strains harboring down- and up-regulation of FabH fluxes (KAS15 reaction in <italic>i</italic>MS837) that we denominated FabH-DOWN and FabH-UP, respectively (<xref rid="fig4" ref-type="fig">Figure 4</xref>). For the FabH-UP sampling, it was predicted an increase in the flux of the reactions involved in the elongation cycle (FabF, FabG, FabZ, and FabI). As could be expected, we computed an increase of these fluxes for FabH-DOWN sampling. On the other hand, the flux of DesC desaturase (DESAT18a) was increased in FabH-UP, while it was almost zero for FabH-DOWN. Finally, FabH-UP and FabH-DOWN failed to increase the fluxes through DesA and DesB desaturases (DES::12 and DES::15, respectively). Overall, these results mainly agree with <italic>in vivo</italic> observations, showing no increased in ALA yields after modifications of the expression of <italic>fabH</italic> (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Flux sampling distributions of main reactions of ALA synthesis for <italic>in silico</italic> FabH overexpression and downregulation mutants and predicted using <italic>i</italic>MS837. For each reaction, a plot of the probability density versus the predicted flux of the specific reaction is represented. In green, the results obtained for <italic>i</italic>MS837_ALA are represented (Control); in purple, an <italic>in silico</italic> designed strain that has double flux for FabH reaction (KAS15) than <italic>i</italic>MS837_ALA (FabH-UP); and in yellow, an <italic>in silico</italic> designed strain that has half flux for FabH reaction (KAS15) than <italic>i</italic>MS837_ALA (FabH-DOWN).</p>
</caption>
<graphic xlink:href="fmicb-14-1126030-g004.tif"/>
</fig>
</sec>
<sec id="sec6">
<label>2.4.</label>
<title>Identification of potential gene overexpression targets to increase ALA yields</title>
<p>GEM gives us the advantage of speeding up the exploration and redesign of the metabolism of an organism toward the production of a given metabolite. In most cases, the upregulation of certain fluxes directly or indirectly involved in the biosynthetic pathway of a desired compound, results in improved yields. With the aim of identifying fluxes that could be upregulated to increase ALA production, we used flux scanning based on enforced objective function (FSEOF) (<xref ref-type="bibr" rid="ref48">Park et al., 2012</xref>). This method scans changes in metabolic fluxes in response to an artificially enforced objective flux of the desired product formation. Using this algorithm, up to 70 target reactions were identified as a result of gradually increments in the ALA production reaction and the acceptance of up to 20% reduction in the biomass-producing reaction (<xref ref-type="supplementary-material" rid="SM8">Supplementary Table S4</xref>).</p>
<p>The FSEOF simulation results revealed that ALA production increased with the enhancement of the fatty acid biosynthetic pathways (<xref rid="fig5" ref-type="fig">Figure 5</xref>). All the reactions involved in the unsaturation and desaturation steps in the fatty acid biosynthesis were identified as potential overexpression targets. Following the logic of increasing the intermediates of ALA synthesis, we have previously overproduced <italic>in vivo</italic> FabF, FabH, FabD, FabZ, and FabG with the aim to improve ALA yields (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>, <xref ref-type="bibr" rid="ref56">2022</xref>), with the exception of FabI. The overexpression of most of them did not increase C18:1 levels, the substrate for the sequential activity of DesA and DesB desaturases. Only the overproduction of FabF was able to successfully increase ALA yields. Little known of the regulation of fatty acid synthesis in cyanobacteria, that could affect to our experimental interventions in this pathway, as well as the <italic>in silico</italic> predictive capability of <italic>i</italic>MS837, which does not include information about regulation. Acetyl-CoA carboxylase, which catalyzes the first step of the saturated fatty acid biosynthesis, was also identified as a potential overexpression target to increase ALA production. Overexpression of this enzyme has been proven to be an effective way to increase the rate of saturated fatty acid synthesis in <italic>Synechocystis</italic> sp. PCC 6803 (<xref ref-type="bibr" rid="ref15">Eungrasamee et al., 2019</xref>), as well as other Acetyl-CoA derived compounds, such as alkanes and alkenes (<xref ref-type="bibr" rid="ref62">Tan et al., 2011</xref>; <xref ref-type="bibr" rid="ref69">Wang et al., 2013</xref>). All together indicates that overexpression of Acetyl-CoA could be a feasible strategy to be implemented <italic>in vivo</italic> with the aim to increase ALA yields.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Distribution of reactions obtained with FSEOF algorithm based on functional subsystems. The reactions included in each subsystem are depicted in <xref ref-type="supplementary-material" rid="SM8">Supplementary Table S4</xref>.</p>
</caption>
<graphic xlink:href="fmicb-14-1126030-g005.tif"/>
</fig>
<p>In addition, the increase in the fluxes through the components of the photosynthetic electron transport chain was the second category of reactions that showed an increase in ALA production. It has been experimentally demonstrated that an increase in the light intensity leads to an increase in omega-3 fatty acids in <italic>Synechococcus</italic> sp. PCC 7002 (<xref ref-type="bibr" rid="ref54">Sakamoto et al., 1997</xref>). Then, it is not surprising that reactions related to photosynthesis are the second-most represented in the results obtained with FSEOF. The third category of reactions that can be upregulated to increase ALA yields is the amino acid metabolism (<xref rid="fig5" ref-type="fig">Figure 5</xref>), including reactions involved in the synthesis of alanine, serine, glutamate, glutamine, and aspartate (<xref ref-type="supplementary-material" rid="SM8">Supplementary Table S4</xref>). In <italic>Arthrospira platensis</italic>, the supplementation of cultures with aspartate stimulated the accumulation of saturated fatty acids, possibly through enhanced <italic>de novo</italic> fatty acid biosynthesis (<xref ref-type="bibr" rid="ref16">Fekrat et al., 2022</xref>). An increase of the <italic>in silico</italic> flux of reactions associated with amino acid metabolism could have the same role. Finally, it is important to highlight that in the category of reactions related to pyruvate metabolism and tricarboxylic acid cycle (TCA), the only reaction which flux should be increased is the one for the Acetyl-CoA synthetase (<xref ref-type="supplementary-material" rid="SM8">Supplementary Table S4</xref>). Acetyl-CoA is a key metabolic intermediate that links many metabolic processes, including the TCA cycle, amino acid metabolism, and fatty acid metabolism (<xref ref-type="bibr" rid="ref37">Mills et al., 2020</xref>). It is possible that in order to increase the direct flux of Acetyl-CoA into the fatty acid synthesis, the flux of this key intermediate should be increased to avoid the competition between all the pathways that use it.</p>
</sec>
<sec id="sec7">
<label>2.5.</label>
<title>Identification of potential genetic interventions to improve ALA production</title>
<p>In addition to upregulation of reaction fluxes, gene knockout is one the most common strategies to improve microbial strains for producing desirable compounds. OptKnock (<xref ref-type="bibr" rid="ref6">Burgard et al., 2003</xref>) and GDLS (<xref ref-type="bibr" rid="ref34">Lun et al., 2009</xref>) are strain design algorithms commonly used to predict genetic manipulations for target overproduction. Both methods are based on constraint-based optimization processes to suggest reaction knockout interventions (constraining the metabolic flux of a reaction to zero) to increase targeted compound production while optimizing biomass yield and product yield. Once identified, the suggested reactions can be eliminated <italic>in vivo</italic> by knocking out one or more of the genes encoding the enzymes catalyzing the reaction.</p>
<p>Unfortunately, the application of GDLS and OptKnock algorithms failed identifying suitable knockout strategies for coupling ALA production to biomass synthesis. However, both algorithms were able to identify partial strategies harboring an increasing number of knockouts putatively resulting in ALA overproduction (<xref rid="fig6" ref-type="fig">Figure 6</xref>). Overall, and as could be expected, a higher number of knockouts resulted in a higher ALA production due the removal of competing pathways. Interestingly, Optknock was shown as the most efficient algorithm under the condition tested being able to identify more potential knockout target reactions than GDLS (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S2</xref>; <xref rid="tab2" ref-type="table">Table 2</xref>). Among the six reactions identified as potential target to improve ALA production by both algorithms, four of them were related to amino acid metabolism (ALAD_L, PSERT, PGCD, and PSP_L) and two were involved in the oxidative branch of the Pentose Phosphate Pathway (G6PDH2r and GND, respectively. As mentioned in the previous section, the synthesis of these amino acids outcompetes for Acetyl-CoA necessary for fatty acid biosynthesis. A similar explanation could be attributed to the other two common reactions obtained using OptKnock and GDLS, G6PDH2r and GND, since they are diverting glucose away to the formation of Acetyl-CoA. OptKnock was able to identify a reaction involved in the fatty acid synthesis as a potential target to be knocked out, ACOATA (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S2</xref>; <xref rid="tab2" ref-type="table">Table 2</xref>). This reaction is performed for FabH, an enzyme that failed <italic>in silico</italic> (<xref rid="fig4" ref-type="fig">Figure 4</xref>) and experimentally to increase ALA production (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>).</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Production envelope for <italic>S. elongatus</italic> PCC 7942 mutants with enhanced ALA production obtained with GDLS and OptKnock. Maximum optimal production rate (mmol gDW<sup>&#x2212;1</sup> h<sup>&#x2212;1</sup>) of ALA achievable with <bold>(A)</bold> two knockouts; <bold>(B)</bold> three knockouts; <bold>(C)</bold> four knockouts; and <bold>(D)</bold> five knockouts.</p>
</caption>
<graphic xlink:href="fmicb-14-1126030-g006.tif"/>
</fig>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Comparison of the reactions suggested by OptKnock and GDLS to be deleted in order to increase the production of ALA.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Method</th>
<th align="center" valign="top">Suggested reactions</th>
<th align="center" valign="top">Enzyme name</th>
<th align="center" valign="top">Pathway</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">ACOATA</td>
<td align="center" valign="middle">Acetyl-CoA ACP transacylase</td>
<td align="center" valign="middle">Fatty acid biosynthesis</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">AGDI</td>
<td align="center" valign="middle">Agmatine deiminase</td>
<td align="center" valign="middle">Amino acid metabolism</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS/OptKnock</td>
<td align="center" valign="middle">ALAD_L</td>
<td align="center" valign="middle">L-alanine dehydrogenase</td>
<td align="center" valign="middle">Amino acid metabolism</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS</td>
<td align="center" valign="middle">ALCD1</td>
<td align="center" valign="middle">Alcohol dehydrogenase (glycerol)</td>
<td align="center" valign="middle">Glycolysis/Gluconeogenesis</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">FALGTHLs</td>
<td align="center" valign="middle">Formaldehyde glutathione ligase</td>
<td align="center" valign="middle">Cofactor biosynthesis</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">FBA</td>
<td align="center" valign="middle">Fructose-bisphosphate aldolase</td>
<td align="center" valign="middle">Glycolysis/Gluconeogenesis</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">FUM</td>
<td align="center" valign="middle">Fumarase</td>
<td align="center" valign="middle">Amino acid metabolism</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS/OptKnock</td>
<td align="center" valign="middle">G6PDH2r</td>
<td align="center" valign="middle">Glucose 6-phosphate dehydrogenase</td>
<td align="center" valign="middle">Calvin cycle/Pentose phosphate pathway</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">GART</td>
<td align="center" valign="middle">GAR transformylase-T</td>
<td align="center" valign="middle">Purine and Pyrimidine Biosynthesis</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">GHMT2r</td>
<td align="center" valign="middle">Glycine hydroxymethyltransferase</td>
<td align="center" valign="middle">Amino acid metabolism</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS/ OptKnock</td>
<td align="center" valign="middle">GND</td>
<td align="center" valign="middle">Phosphogluconate dehydrogenase</td>
<td align="center" valign="middle">Calvin cycle/Pentose phosphate pathway</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">H2CO3_NAt_syn</td>
<td align="center" valign="middle">Sodium/bicarbonate symporter (SbtA)</td>
<td align="center" valign="middle">Transport: Inner Membrane</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">PDS2</td>
<td align="center" valign="middle">Phytofluene dehydrogenase</td>
<td align="center" valign="middle">Carotenoid biosynthesis</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS/OptKnock</td>
<td align="center" valign="middle">PGCD</td>
<td align="center" valign="middle">Phosphoglycerate dehydrogenase</td>
<td align="center" valign="middle">Amino acid metabolism</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS/OptKnock</td>
<td align="center" valign="middle">PGL</td>
<td align="center" valign="middle">6-phosphogluconolactonase</td>
<td align="center" valign="middle">Calvin cycle/Pentose phosphate pathway</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS/OptKnock</td>
<td align="center" valign="middle">PSERT</td>
<td align="center" valign="middle">Phosphoserine transaminase</td>
<td align="center" valign="middle">Amino acid metabolism</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS</td>
<td align="center" valign="middle">PSP_L</td>
<td align="center" valign="middle">Phosphoserine phosphatase (L-serine)</td>
<td align="center" valign="middle">Amino acid metabolism</td>
</tr>
<tr>
<td align="left" valign="middle">OptKnock</td>
<td align="center" valign="middle">PYK</td>
<td align="center" valign="middle">Pyruvate kinase</td>
<td align="center" valign="middle">Pyruvate metabolism/TCA Reactions</td>
</tr>
<tr>
<td align="left" valign="middle">GDLS</td>
<td align="center" valign="middle">VALTA</td>
<td align="center" valign="middle">Valine transaminase</td>
<td align="center" valign="middle">Amino acid metabolism</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The optimal solutions for most of the single, double, triple, and quadruple knockouts were different for OptKnock and GDLS predictions (<xref ref-type="supplementary-material" rid="SM9">Supplementary Table S5</xref>; <xref rid="fig6" ref-type="fig">Figures 6A</xref>&#x2013;<xref rid="fig6" ref-type="fig">C</xref>). Only in the case of some triple knockouts, the knockouts in the identified reactions gave identical optimal changes in the flux distribution (<xref ref-type="supplementary-material" rid="SM9">Supplementary Table S5</xref>; <xref rid="fig6" ref-type="fig">Figure 6B</xref>). In addition, only the GDLS algorithm was able to suggest optimal solutions by knocking out five reactions (<xref ref-type="supplementary-material" rid="SM9">Supplementary Table S5</xref>; <xref rid="fig6" ref-type="fig">Figure 6D</xref>). Finally, none of the algorithms was able to provide optimal solutions by applying single reaction knockout strategies.</p>
<p>Although growth coupled overproducing strategies are challenging due the low metabolic robustness of cyanobacteria (<xref ref-type="bibr" rid="ref40">Nogales et al., 2013</xref>; <xref ref-type="bibr" rid="ref20">Gudmundsson and Nogales, 2015</xref>), which could result in unfeasible genetic designs under the current scenario, we cannot rule out the possibility that the lack of success using GDLS and OptKnock is due to an insufficiently scrutinized metabolic space. To address a more systematic search, we performed a new strain designing analysis by using gcFront (<xref ref-type="bibr" rid="ref29">Legon et al., 2022</xref>). gcFront is an algorithm that explores knockout strategies maximizing not only cell growth and product synthesis, but also the strength of production-to-growth coupling using a tri-level optimization. The incorporation of this last optimization parameter significantly reduces the search time with respect other strain designing algorithms such as OptKnock or GDLS, thus significantly speeding up the process. In addition, gcFront is based on a genetic algorithm approach, thus, it allows to perform a larger search in terms of number of knockouts. Unfortunately, we were not able to find growth-coupled ALA overproducing strategies even allowing up to 30 knockouts (data not shown). Taking together, these results confirmed the limited chance of designing growth-coupled ALA overproducing phenotypes using cyanobacteria under photoautotrophic conditions.</p>
</sec>
<sec id="sec8">
<label>2.6.</label>
<title>Exploring the production of ALA in <italic>S. elongatus</italic> PCC 7942 beyond photoautotrophic conditions</title>
<p>The lack of growth coupled ALA designs under photoautotrophic conditions encouraging us to explore alternative nutritional regimens, such as photomixotrophy. It has been previously demonstrated that photomixotrophic conditions can enhance growth performance of <italic>S. elongatus</italic> PCC 7942 while provide, at least in theory, a more robust metabolism increasing the metabolic space suitable to flux rerouting (<xref ref-type="bibr" rid="ref75">Yan et al., 2012</xref>; <xref ref-type="bibr" rid="ref40">Nogales et al., 2013</xref>). To address this goal, we constructed a set of condition-specific GEMs using as constraint the uptake of inorganic and organic carbon sources previously reported (<xref ref-type="bibr" rid="ref75">Yan et al., 2012</xref>), as detailed in methods. Following this procedure, we construct a photoautotrophic model and two photomixotrophic GEMs harboring acetate and glucose consumption systems, respectively. The ALA production envelope of the condition-specific models revealed a significant higher metabolic space bounded by photomixotrophic conditions (<xref rid="fig7" ref-type="fig">Figure 7A</xref>). Glucose provided the highest metabolic solution space with up to double production of ALA and growth rate, whereas acetate provided a slightly chance of ALA production although it was not growth-coupled. This improved phenotypic performance under photomixotrophic conditions was not only due the presence of organic carbons as additional nutrients, but also to improved photosynthetic efficiencies (<xref rid="fig7" ref-type="fig">Figure 7B</xref>). In fact, we computed significant higher fluxes through Photosystem I and II reactions as well as a higher oxygen evolution and photon uptake under photomixotrophic conditions, completely agreeing experimental data (<xref ref-type="bibr" rid="ref75">Yan et al., 2012</xref>). Subsequently, we used this expanded metabolic space to search for growth-coupled strategies using gcFront following identical setup than used under autotrophic conditions. Despite several attempts performed, we were not able to identify growth-coupled ALA-overproducing <italic>S. elongatus</italic> PCC 7942 strains neither using glucose nor acetate as organic carbon sources (data not shown). Therefore, we concluded that the single use of knockout strategy is not feasible to reroute carbon flux toward the production of ALA.</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Exploration of the metabolic space under photomixotrophic conditions. <bold>(A)</bold> ALA production envelopes in photoautotrophic and photomixotrophic conditions using acetate or glucose as carbon source. The solution space increases under photomixotrophic conditions. <bold>(B)</bold> Evaluation of photosynthetic activity under photoautotrophic and photomixotrophic conditions. The flux of the reactions associated with the activity of Photosystem I and II (PSIum and PSIIum, respectively), the production of oxygen (EX_o2_e) and the flux oh photons (Photon_uptake) under photomixotrophic were simulated and normalized to the values obtained under photoautotrophic conditions.</p>
</caption>
<graphic xlink:href="fmicb-14-1126030-g007.tif"/>
</fig>
<p>To gain further insights on this hypothesis, we analyzed the metabolic flux of the reactions from central metabolism including Calvin&#x2013;Benson&#x2013;Bassham (CBB) cycle and TCA and those directly involved in ALA synthesis under photoautotrophic and photomixotrophic conditions (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figures S3</xref>&#x2013;<xref ref-type="supplementary-material" rid="SM1">S5</xref>). The detailed analysis of this flux distribution identified that the synthesis of ALA is limited since Acetyl-CoA pool is funneled almost exclusively to the synthesis of fatty acids. In fact, the metabolism of fatty acids <italic>via</italic> Acetyl-CoA is not connected with the production of other components of the biomass. Compounding the problem, the complete list of genes involved in fatty acid biosynthesis are essential under the three nutritional regimens analyzed, excluding the possibility to reroute carbon flux from fatty acid biosynthesis to ALA production <italic>via</italic> removing competitive pathways. Taking together, the reduced connectivity of Acetyl-CoA and the essentiality of genes surrounding fatty acid biosynthesis and ALA production explains, at great extent, the unfeasibility of designing growth coupled ALA overproducer <italic>S. elongatus</italic> PCC 7942 strains.</p>
<p>As a direct consequence, the only solution found increasing ALA production was the increase of the flux through the &#x0394;12-desaturase (DES::12) reaction (<xref rid="fig8" ref-type="fig">Figure 8</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3</xref>), as it has been demonstrated <italic>in vivo</italic> (<xref ref-type="bibr" rid="ref54">Sakamoto et al., 1997</xref>; <xref ref-type="bibr" rid="ref7">Chen et al., 2014</xref>; <xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>). Interestingly, while under photoautotrophic and glucose-driven photomixotrophic conditions the increase in DES::12 flux negatively impacted <italic>S. elongatus</italic> PCC 7942 growth rate (<xref rid="fig8" ref-type="fig">Figure 8</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S5</xref>), we observed an increase in ALA production without any negative effect over the biomass using acetate-driven photomixotrophic conditions (<xref rid="fig8" ref-type="fig">Figure 8</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>). This is because, the drainage of the Acetyl-CoA pool toward the ALA production is replenished by increasing the uptake of acetate conditions. Therefore, our computational analysis expanding the metabolic space by feeding <italic>S. elongatus</italic> PCC 7942 with organic carbon sources, strongly suggested that such photomixotrophic conditions, especially using acetate as a carbon source, seem to be a promising strategy to increase ALA production in <italic>S. elongatus</italic> PCC 7942. However, these results will need to be further validated experimentally.</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Flux variability analysis of &#x0394;12-desaturase (DES::12) overexpression in different nutritional conditions. Impact of DES::12 overexpression on growth rate (BOF), ALA production (DM_ALA), and organic carbon uptake (Carbon Source Uptake) under photoautotrophic (left panel), photomixotrophic with acetate (middle panel), and photomixotrophic with glucose (right panel) conditions. Fluxes through some reactions of the fatty acid synthesis (ACCOAC) and TCA cycle (CS) were measured.</p>
</caption>
<graphic xlink:href="fmicb-14-1126030-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="sec9" sec-type="discussions">
<label>3.</label>
<title>Discussion</title>
<p>We generated an updated GEM of <italic>S. elongatus</italic> PCC 792 with considerable improvements in model annotation and accuracy of essentiality prediction. The metabolic reaction and genome coverage of the reconstruction was expanded, the format and annotations were updated to be consistent with current best practices. Model improvements were quantified through various metrics such as accuracy of growth yield and ALA yield predictions as well as MEMOTE benchmarking. Overall, <italic>i</italic>MS837 has increased the coverage of the metabolic functionality of <italic>S. elongatus</italic> PCC 7942 and is one of the highest-quality cyanobacterial GEMs. While the updates included in <italic>i</italic>MS837 largely improved the model accuracy, there were still incorrect predictions about gene essentiality that were not able to be addressed. In <italic>S. elongatus</italic> PCC 7942, a significant proportion of genes has still an unknown function (<xref ref-type="bibr" rid="ref27">Labella et al., 2020</xref>), with many of them presumably involved in processes relevant to the metabolism of the cyanobacteria. It makes it difficult to include new metabolic genes in the model, since there is a lack of information between GPR associations that will allow their identification. In addition, <italic>i</italic>MS837 only contains a small portion of the total genes of <italic>S. elongatus</italic> PCC 7942 genome (837 of 2,772 genes; <xref rid="tab1" ref-type="table">Table 1</xref>) with an absence of regulation that could influence the correct prediction of their essentiality. However, despite all this missing information, <italic>i</italic>MS837 was able to achieve a high overall accuracy for predicting gene essentiality phenotypes (i.e., 85.5%) that is comparable to the performance of the well-curated <italic>E</italic>. <italic>coli</italic> models, <italic>i</italic>JO1366 (i.e., 93.4%) (<xref ref-type="bibr" rid="ref45">Orth et al., 2011</xref>) and <italic>i</italic>ML1515 (i.e., 93.4%) (<xref ref-type="bibr" rid="ref38">Monk et al., 2017</xref>).</p>
<p>Although <italic>i</italic>MS837 only captures 30.2% of the protein coding genes of <italic>S. elongatus</italic> PCC 7942, this metabolic reconstruction was able to make correct computational predictions related to experimental data (i.e., gene essentiality and fatty acid biosynthesis). The correct functional annotation of the genes encoding metabolic enzymes involved in the fatty acid biosynthetic pathway helped with prediction involving enzymes of this pathway (<xref ref-type="supplementary-material" rid="SM2">Supplementary Dataset 1</xref>). An experimental effort to identify unknown GPR associations, as well as a constant improvement and updating of the GEM of <italic>S. elongatus</italic> PCC 7942 will improve its prediction capabilities and its use to generate new hypotheses and to identify promising targets for bioengineering applications (<xref ref-type="bibr" rid="ref14">Esvelt and Wang, 2013</xref>). Integration of kinetics and omics data in GEMs will broaden their quality and application scopes to better understanding the metabolism of cyanobacteria (<xref ref-type="bibr" rid="ref19">Gu et al., 2019</xref>). On the other hand, the incorporation of accurate and well-developed GEMs into Design-Build-Test-Learn cycles, together with the use of machine learning, will lead to a very powerful toolset for guiding metabolic engineering of cyanobacteria (<xref ref-type="bibr" rid="ref31">Liao et al., 2022</xref>).</p>
<p>Metabolic models through the implementation of different algorithms are powerful tools to predict potential interventions that may improve the production of a specific compound. FSEOF and GDLS/OptKnock turned out as efficient systems to predict which gene overexpressions and knockouts, respectively, that might be potential targets to increase ALA production. FSEOF results suggest that the availability of saturated fatty acid pools is important for the synthesis of ALA (<xref rid="fig5" ref-type="fig">Figure 5</xref>; <xref ref-type="supplementary-material" rid="SM8">Supplementary Table S4</xref>). This hypothesis was tested previously <italic>in vivo</italic> demonstrated that FabF seems to be the limiting-rate step in this pathway (<xref ref-type="bibr" rid="ref55">Santos-Merino et al., 2018</xref>). All the solutions obtained with GDLS, OptKnock and gcFront algorithms failed to produce mutants where ALA production is coupled with growth under photoautotrophic conditions (<xref rid="fig6" ref-type="fig">Figure 6</xref>).</p>
<p>It has been previously demonstrated that the carbon flux rerouting to obtain growth-coupled producer strains is more challenging under autotrophic conditions than under mixotrophic or heterotrophic conditions in cyanobacteria (<xref ref-type="bibr" rid="ref40">Nogales et al., 2013</xref>; <xref ref-type="bibr" rid="ref68">Wan et al., 2015</xref>). Photomixotrophic culture conditions has been successfully applied in <italic>S. elongatus</italic> PCC 7942 to efficiently increase the production of 2,3-butanediol (<xref ref-type="bibr" rid="ref36">McEwen et al., 2013</xref>; <xref ref-type="bibr" rid="ref24">Kanno et al., 2017</xref>), which has been also tested <italic>in silico</italic> using <italic>i</italic>JB792 (<xref ref-type="bibr" rid="ref5">Broddrick et al., 2019</xref>). In addition, the use of acetate as carbon source has allowed to increase the production of poly-3-hydroxybutyrate (PHB) in different cyanobacterial strains (<xref ref-type="bibr" rid="ref9">de Philippis et al., 1992</xref>; <xref ref-type="bibr" rid="ref71">Wu et al., 2002</xref>; <xref ref-type="bibr" rid="ref60">Sharma and Mallick, 2005</xref>; <xref ref-type="bibr" rid="ref47">Panda et al., 2006</xref>; <xref ref-type="bibr" rid="ref25">Khetkorn et al., 2016</xref>; <xref ref-type="bibr" rid="ref64">Towijit et al., 2018</xref>). Here, we successfully demonstrated that the production of ALA can be also boosted <italic>in silico</italic> under photomixotrophic conditions using acetate or glucose as carbon sources (<xref rid="fig7" ref-type="fig">Figure 7A</xref>), and this strategy could be employed <italic>in vivo</italic> likely leading to the same result. The synthesis of PHB and ALA requires the same precursor, Acetyl-CoA. The stimulatory effect of acetate on ALA synthesis could be explained by the direct utilization of acetate to increase the intracellular Acetyl-CoA pool, as it has been previously speculated for PHB (<xref ref-type="bibr" rid="ref9">de Philippis et al., 1992</xref>; <xref ref-type="bibr" rid="ref25">Khetkorn et al., 2016</xref>).</p>
<p>Overall, we were able to find potential solutions <italic>in silico</italic> that were feasible to increase ALA production in <italic>S. elongatus</italic> PCC 7942 under phototrophic conditions, but in all the cases, they have a negative cost for the cells, negatively impacting their ability to grow. Omega-3 fatty acid synthesis takes place under a continuous supply of Acetyl-CoA and NADPH, which limits carbon flux through the biomass synthesis (<xref ref-type="bibr" rid="ref10">Diao et al., 2020</xref>). Using <italic>i</italic>MS837, we were able to predict that there is a limitation of the flux of Acetyl-CoA that impedes maximizing ALA production without decreasing biomass yields (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3</xref>). Contrary to heterotrophic conditions, phototrophic growth promotes low level of Acetyl-CoA since reducing equivalents are provided by photosynthesis instead of TCA <italic>via</italic> oxidation of Acetyl-CoA. Therefore, Acetyl-CoA is mainly used as building block for fatty acids resulting a narrow window for ALA production (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3</xref>). The use of an organic carbon substrate to stimulate the production of Acetyl-CoA, such as acetate, was the only alternative option to balance the production of ALA and biomass. The utilization of acetate by <italic>S. elongatus</italic> PCC 7942 does not compete with TCA cycle and CO<sub>2</sub> fixation activities (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>), but also it seems to stimulate <italic>S. elongatus</italic> PCC 7942 photosynthetic activity (<xref rid="fig7" ref-type="fig">Figure 7B</xref>), and potentially the NADPH production, needed for fatty acid production.</p>
</sec>
<sec id="sec10" sec-type="conclusions">
<label>4.</label>
<title>Conclusion</title>
<p>In this study, we provided and updated GEM of <italic>S. elongatus</italic> PCC 7942 by using information from the scientific literature and openly available databases, as well as data from well-annotated GEMs from other bacteria. The updated model, <italic>i</italic>MS837, comprised 837 genes, 887 reactions, and 801 metabolites. Following a series of growth simulations, the model was found to agree with published literature. The application of the updated GEM to investigate ALA production recapitulated phenotypes observed in literature, and the use of algorithms to identify potential reactions target to be overexpressed or eliminated can offer systematic strategies that would be difficult to delineate experimentally. In addition, photomixotrophic conditions were also identified as potential target to boost ALA production. This application of the updated reconstruction serves as an example of how GEMs can provide insights into non-intuitive metabolic engineering strategies to improve the production of industrially important metabolites. Ultimately, our computational in-depth analysis of <italic>i</italic>MS837 for ALA production provides an example of the systems-biology science iteration paradigm, by producing further hypothesis that need experimental follow-up to be validated.</p>
</sec>
<sec id="sec11" sec-type="materials|methods">
<label>5.</label>
<title>Materials and methods</title>
<sec id="sec12">
<label>5.1.</label>
<title>Development of an upgraded GEM of <italic>S. elongatus</italic> PCC 7942 named <italic>i</italic>MS837</title>
<p>The <italic>i</italic>MS837 model was developed using the published <italic>i</italic>JB792 model (<xref ref-type="bibr" rid="ref5">Broddrick et al., 2019</xref>) as a starting point (<xref ref-type="supplementary-material" rid="SM4">Supplementary Dataset 3</xref>). Updates in <italic>i</italic>JB792 were made using Python and the COBRApy package (<xref ref-type="bibr" rid="ref12">Ebrahim et al., 2013</xref>). A detailed description of all these changes can be found in the <xref ref-type="supplementary-material" rid="SM2">Supplementary Dataset 1</xref> and <xref ref-type="supplementary-material" rid="SM5">Supplementary Table S1</xref>. The new generated model was denominated <italic>i</italic>MS837. All the scripts used in the methods section can be found in GitHub repository (<ext-link xlink:href="https://github.com/MariaS87/GEM-Synechococcus-elongatus-PCC-7942-iMS837.git" ext-link-type="uri">https://github.com/MariaS87/GEM-Synechococcus-elongatus-PCC-7942-iMS837.git</ext-link>).</p>
</sec>
<sec id="sec13">
<label>5.2.</label>
<title>Flux balance analysis</title>
<p>Flux Balanced Analysis (FBA) uses linear programming to maximize an objective function while assuming no metabolite accumulation during cellular growth. We used FBA to evaluate the biomass production (growth prediction) once the biomass reaction was fixed as the objective function (BOF, Biomass Objective Function) (<xref ref-type="bibr" rid="ref46">Orth et al., 2010</xref>). The result when executing FBA was the growth rate (h<sup>&#x2212;1</sup>) predicted under the specified media conditions.</p>
</sec>
<sec id="sec14">
<label>5.3.</label>
<title>Model manipulation to produce ALA</title>
<p><italic>i</italic>MS837 was modified to introduce the required reactions to produce ALA. A detailed list of the reactions and metabolites added is included in <xref ref-type="supplementary-material" rid="SM7">Supplementary Table S3</xref>. The new generated model was denominated <italic>i</italic>MS837_ALA (<xref ref-type="supplementary-material" rid="SM4">Supplementary Dataset 3</xref>).</p>
</sec>
<sec id="sec15">
<label>5.4.</label>
<title>Metabolic network simulations</title>
<p><italic>i</italic>MS837 and <italic>i</italic>MS837_ALA models were analyzed using COBRA Toolbox v2.0 (<xref ref-type="bibr" rid="ref59">Schellenberger et al., 2011</xref>) within the MATLAB environment (The MathWorks Inc.). Tomlab CPLEX (Tomlab Optimization Inc., San Diego, CA) and Gurobi (Gurobi Optimization Inc., Houston, TX) were used for solving the linear programming problems.</p>
</sec>
<sec id="sec16">
<label>5.5.</label>
<title>Gene essentiality predictions of <italic>i</italic>MS837</title>
<p>For growth simulation, the biomass equation (BOF) was set as the objective function. The analysis of gene essentiality was performed using the &#x201C;single_gene_deletion&#x201D; function of COBRApy (<xref ref-type="supplementary-material" rid="SM2">Supplementary Dataset 1</xref>; <xref ref-type="bibr" rid="ref12">Ebrahim et al., 2013</xref>). If the growing rate of the knockout strain was lower than 10<sup>&#x2212;3</sup>, the gene was defined as essential.</p>
<p>To evaluate the performance of our GEM to correctly predict gene essentiality, we employed a variety of statistical index-based methods, including: accuracy, sensitivity, specificity, precision, F1-score, and Cohen&#x2019;s Kappa coefficient (<xref ref-type="bibr" rid="ref66">van Stralen et al., 2009</xref>; <xref ref-type="bibr" rid="ref1">Aromolaran et al., 2021</xref>). All the statistical metrics were computed based on the scores from true positives (TP), true negatives (TN), false positives (FP), and false negatives (FN). TP and TN occur when both the model prediction and the experimental data agree that a gene is essential and non-essential, respectively. FP occur when the model says a gene is essential, but experiments suggest otherwise, whereas FN occur when the model says a gene is non-essential, but experiments indicate that it is essential (<xref ref-type="bibr" rid="ref2">Becker and Palsson, 2008</xref>). The aforementioned statistical index-based metrics are described from <xref ref-type="disp-formula" rid="EQ1">Equations 1</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ6">6</xref> as follows:</p>
<disp-formula id="EQ1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:mi>%</mml:mi><mml:mi mathvariant="normal">accuracy</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">TN</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">TN</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FP</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FN</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x22C5;</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></disp-formula>
<disp-formula id="EQ2"><label>(2)</label><mml:math id="M2"><mml:mrow><mml:mi>%</mml:mi><mml:mi mathvariant="normal">sensitivity</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">TP</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FN</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x22C5;</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></disp-formula>
<disp-formula id="EQ3"><label>(3)</label><mml:math id="M3"><mml:mrow><mml:mi>%</mml:mi><mml:mi mathvariant="normal">specificity</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">TN</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">TN</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FP</mml:mi><mml:mspace width="thickmathspace"/></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x22C5;</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></disp-formula>
<disp-formula id="EQ4"><label>(4)</label><mml:math id="M4"><mml:mrow><mml:mi>%</mml:mi><mml:mi mathvariant="normal">precision</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">TP</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FP</mml:mi><mml:mspace width="thickmathspace"/></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x22C5;</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></disp-formula>
<disp-formula id="EQ5"><label>(5)</label><mml:math id="M5"><mml:mrow><mml:mi mathvariant="normal">F</mml:mi><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mi mathvariant="normal">score</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">TP</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FP</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FN</mml:mi><mml:mspace width="thickmathspace"/></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<disp-formula id="EQ6"><label>(6)</label><mml:math id="M6"><mml:mrow><mml:mi mathvariant="normal">Kappa</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x22C5;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">TN</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi mathvariant="normal">FN</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">FP</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mspace width="thickmathspace"/></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">FN</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">FP</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">TP</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">TN</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FN</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">FN</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FN</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">TN</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FP</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">FP</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">FP</mml:mi><mml:mo>&#x22C5;</mml:mo><mml:mi mathvariant="normal">TN</mml:mi></mml:mtd></mml:mtr></mml:mtable><mml:mo>)</mml:mo></mml:mrow><mml:mspace width="thickmathspace"/></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<p>The accuracy measures the degree of correctness of a model with respect to both positive and negative classes. The sensitivity estimates the proportion of essential genes that have been correctly identified, whereas the specificity measures the proportion of true negatives that have been correctly predicted. The precision calculates the probability that the essential genes are correctly predicted. The F1-score represents the harmonic mean between precision and sensitivity, combining these two parameters into a single measure (<xref ref-type="bibr" rid="ref18">Ghasemian et al., 2022</xref>). Lastly, Cohen&#x2019;s Kappa coefficient measures the degree of agreement between the output of experimental versus predicted essentiality data. If Kappa&#x2009;=&#x2009;1, then the predictions are in perfect agreement with experimental data, and Kappa&#x2009;=&#x2009;0 means there is no agreement between predictions and experimental data (<xref ref-type="bibr" rid="ref1">Aromolaran et al., 2021</xref>).</p>
</sec>
<sec id="sec17">
<label>5.6.</label>
<title>Monte Carlo flux sampling</title>
<p>The distribution of feasible fluxes in the condition-specific models was calculated by Markov chain Monte Carlo sampling (<xref ref-type="bibr" rid="ref58">Schellenberger and Palsson, 2009</xref>) implemented in COBRA package (<xref ref-type="bibr" rid="ref59">Schellenberger et al., 2011</xref>).</p>
</sec>
<sec id="sec18">
<label>5.7.</label>
<title>Identification of gene overexpression targets for ALA overproduction</title>
<p>The identification of gene amplification targets was based on the strategy of flux scanning based on enforced objective flux (FSEOF) (<xref ref-type="bibr" rid="ref8">Choi et al., 2010</xref>). We first simulated the growth behavior of the strain using FBA and set the biomass-producing reaction as the objective function. Then, the maximum theoretical ALA production was obtained by setting the ALA exchange reaction (EX_ALA(e)) as the objective function. In the next steps, this reaction was raised stepwise to reach 80% of the theoretical maximum.</p>
</sec>
<sec id="sec19">
<label>5.8.</label>
<title>Identification of potential knockout targets for ALA overproduction</title>
<p>OptKnock (<xref ref-type="bibr" rid="ref6">Burgard et al., 2003</xref>) and GDLS (<xref ref-type="bibr" rid="ref34">Lun et al., 2009</xref>) algorithms were implemented to predict potential genetic knockout manipulations that can lead to ALA overproduction. Whereas OptKnock uses bi-level optimization strategies to solve the conflict of cell growth and maximum bioengineering objective, the GDLS algorithm employs reduced metabolic models and predicts gene knockouts based on Gene&#x2013;Protein-Reaction associations (<xref ref-type="bibr" rid="ref74">Xu Z. et al., 2013</xref>). Before using these two algorithms, GEM was reduced, including only nonblocked reactions catalyzed by proteins whose genes are nonessential, reactions not involved in transport and reactions with known GPR associations. This step generated a &#x2018;reduced&#x2019; model. These methods were accessible through the COBRA Toolbox v2.0 in MATLAB. For both optimization methods, ALA production flux was set as the optimization target. Each reaction elimination design solution was examined by making the identified changes on bounds to the reactions obtained with OptKnock or GDLS, and were plotted using metabolic production envelope that represents the accessible flux space onto the plane of growth rate versus the target&#x2019;s production rate (<xref ref-type="bibr" rid="ref13">Edwards et al., 2002</xref>). The suggested reactions obtained with these algorithms can be removed <italic>in vivo</italic> by knocking out one or more of the genes encoding the enzymes catalyzing the reaction.</p>
<p>In addition, the recently developed gcFront algorithm was also used to identify knockouts that growth-couple synthesis (<xref ref-type="bibr" rid="ref29">Legon et al., 2022</xref>). gcFront uses a multiobjective genetic algorithm that identifies a Pareto front of designs that maximize growth rate, product synthesis and coupling strength and finds combinations of gene/reaction knockouts that will enforce growth coupling (<xref ref-type="bibr" rid="ref29">Legon et al., 2022</xref>). Before applying this algorithm, GEMs need to be pre-processed to reduce the search space of reaction by removing the biomass reactions not assigned as objective and blocked reactions. All blocked reactions were identified using flux variability analysis (FVA) (<xref ref-type="bibr" rid="ref35">Mahadevan and Schilling, 2003</xref>) as reactions unable to carry flux when the biomass was constraint to 20%. To reduce computation time by gcFront algorithm, the list of reactions previously identified with Optknock screening with 1&#x2013;5 maximum number of knockouts was used. Then, gcFront was executed for each nutritional condition (i.e., phototrophic, photomixotrophic with acetate and photomixotrophic with glucose) using the parameter setup described in <xref rid="tab3" ref-type="table">Table 3</xref>.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>List of parameters used with gcFront algorithm.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Parameters</th>
<th align="center" valign="top" colspan="3">Values for</th>
</tr>
<tr>
<th align="center" valign="top"><italic>i</italic>MS837</th>
<th align="center" valign="top"><italic>i</italic>MS837_acetate</th>
<th align="center" valign="top"><italic>i</italic>MS837_glucose</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">biomassrxn</td>
<td align="center" valign="top">BOF_photoautotrophy</td>
<td align="center" valign="middle">BOF_acetate_mixotrophy</td>
<td align="center" valign="middle">BOF_glucose_mixotrophy</td>
</tr>
<tr>
<td align="left" valign="middle">mingrowth</td>
<td align="center" valign="middle">0.003</td>
<td align="center" valign="middle">0.006</td>
<td align="center" valign="middle">0.008</td>
</tr>
<tr>
<td align="left" valign="middle">skipreduction</td>
<td align="center" valign="middle">True</td>
<td align="center" valign="middle">True</td>
<td align="center" valign="middle">True</td>
</tr>
<tr>
<td align="left" valign="middle">maxreductionsize</td>
<td align="center" valign="top">30</td>
<td align="center" valign="middle">30</td>
<td align="center" valign="middle">30</td>
</tr>
<tr>
<td align="left" valign="middle">ignorelistrxns</td>
<td align="center" valign="middle">R-C</td>
<td align="center" valign="middle">R-C</td>
<td align="center" valign="middle">R-C</td>
</tr>
<tr>
<td align="left" valign="middle">popsize</td>
<td align="center" valign="middle">1,000</td>
<td align="center" valign="middle">1,000</td>
<td align="center" valign="middle">1,000</td>
</tr>
<tr>
<td align="left" valign="middle">genlimit</td>
<td align="center" valign="middle">100,000</td>
<td align="center" valign="middle">100,000</td>
<td align="center" valign="middle">100,000</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec20">
<label>5.9.</label>
<title>Generation of specific GEMs for photomixotrophic conditions from <italic>i</italic>MS837_ALA</title>
<p>Reactions for the uptake of glucose and acetate were added to <italic>i</italic>MS837_ALA. The experimental data obtained under photomixotrophic conditions with acetate and glucose <italic>in vivo</italic> (<xref ref-type="bibr" rid="ref75">Yan et al., 2012</xref>) were used to introduce constraints to <italic>i</italic>MS837_ALA to simulate these conditions <italic>in silico</italic>. A summary of these constraints is depicted in <xref rid="tab4" ref-type="table">Table 4</xref>. In addition, a biomass equation was specifically generated for photomixotrophic conditions with acetate and glucose, denominated BOF_acetate_photomixotrophy and BOF_glucose_photomixotrophy, respectively. In order to do that, a previously published protocol to generate biomass objective functions from experimental data was used (<xref ref-type="bibr" rid="ref28">Lachance et al., 2019</xref>). Condition-specific macromolecular data related to protein, lipid, carbohydrate, and photosynthetic pigment composition were obtained for previously published data (<xref ref-type="bibr" rid="ref75">Yan et al., 2012</xref>). In addition, transcriptomic data and lipid profiles were also needed and obtained from different literature sources (<xref ref-type="bibr" rid="ref52">R&#x00F3;s et al., 2013</xref>; <xref ref-type="bibr" rid="ref72">Xiong et al., 2015</xref>).</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Values of the lower and upper bounds used to generate condition-specific GEMs.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Reactions</th>
<th align="center" valign="top" colspan="3">Bound values for</th>
</tr>
<tr>
<th align="center" valign="top">Photoautotrophy</th>
<th align="center" valign="top">Acetate photomixotrophy</th>
<th align="center" valign="top">Glucose photomixotrophy</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">RBPCcx</td>
<td align="center" valign="top">(1.46, 1,000)</td>
<td align="center" valign="middle">(1.8, 1,000)</td>
<td align="center" valign="middle">(1.73, 1,000)</td>
</tr>
<tr>
<td align="left" valign="middle">ACtex</td>
<td align="center" valign="top">(0, 1,000)</td>
<td align="center" valign="middle">(0.257, 1,000)</td>
<td align="center" valign="middle">(0, 1,000)</td>
</tr>
<tr>
<td align="left" valign="middle">GLCtex</td>
<td align="center" valign="top">(0, 1,000)</td>
<td align="center" valign="middle">(0, 1,000)</td>
<td align="center" valign="middle">(0.175, 1,000)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec21">
<label>5.10.</label>
<title>Generation of pathway maps for visualization of metabolic fluxes</title>
<p>Escher was used for visualizing the fluxes of the metabolic pathways involved in ALA synthesis (<xref ref-type="bibr" rid="ref26">King et al., 2015</xref>). The Escher website was used to draw all the metabolic maps.</p>
</sec>
</sec>
<sec id="sec22" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref rid="sec26" ref-type="sec">Supplementary material</xref>, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="sec23">
<title>Author contributions</title>
<p>MS-M and JN conceived and designed the study. MS-M and JN prepared the first draft of the manuscript. MS-M performed the metabolic network reconstruction. MS-M and AG-B performed model simulations. All the authors discussed the results and participated in the writing process.</p>
</sec>
<sec id="sec24" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by the European Union&#x2019;s Horizon 2020 Research and Innovation Programme under Grant agreement no. 101000733 (Promicon) by the Spanish Ministry of Science and Innovation (MICINN) grants RobExplode PID2019-108458RB-I00 (AEI/10.13039/501100011033) and TED2021-130689B-C33 to JN, and PID2020-117923GB-I00 to FdlC. Funding was likewise provided by CSIC&#x2019;s Interdisciplinary Platform for Sustainable Plastics toward a Circular Economy+ (PTI-SusPlast+). MS-M was the recipient of a Ph.D. fellowship (BES-2012-057387) from Spanish Ministry of Economy and Competitiveness (MINECO).</p>
</sec>
<sec id="conf1" 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="sec100" 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>
</body>
<back>
<ack>
<p>The authors wish to thank David San Le&#x00F3;n Granado for his help with <xref rid="fig2" ref-type="fig">Figure 2</xref>.</p>
</ack>
<sec id="sec26" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fmicb.2023.1126030/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fmicb.2023.1126030/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.DOCX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Data_Sheet_1.ZIP" id="SM2" mimetype="application/zip" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Data_Sheet_2.ZIP" id="SM3" mimetype="application/zip" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Data_Sheet_3.ZIP" id="SM4" mimetype="application/zip" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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</sec>
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