{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,28]],"date-time":"2026-09-28T18:58:42Z","timestamp":1790621922539,"version":"4.1.0"},"reference-count":67,"publisher":"Public Library of Science (PLoS)","issue":"9","license":[{"start":{"date-parts":[[2026,9,28]],"date-time":"2026-09-28T00:00:00Z","timestamp":1790553600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["NSF-2435227"],"award-info":[{"award-number":["NSF-2435227"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["NSF-2242763"],"award-info":[{"award-number":["NSF-2242763"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"name":"United States Department of Agriculture (USDA) - National Institute of Food and Agriculture (NIFA).","award":["2025-38502-45540"],"award-info":[{"award-number":["2025-38502-45540"]}],"id":[{"id":"https:\/\/ror.org\/05qx3fv49","id-type":"ROR","asserted-by":"crossref"}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"abstract":"<jats:p>\n                    Microbial cocultures exhibit complex population dynamics that are difficult to interpret because internal physiological states are only partially observable. In particular, active and dormant cell states can influence system-level behavior but are rarely resolved from standard fermentation measurements. In this study, we present a hybrid modeling framework that combines structured population-state reconstruction with sparse identification of nonlinear dynamics (SINDy) to analyze a\n                    <jats:italic>Clostridium acetobutylicum<\/jats:italic>\n                    -\n                    <jats:italic>Clostridium ljungdahlii<\/jats:italic>\n                    coculture under perfusion mode. The framework estimates active\n                    <jats:inline-formula id=\"pcbi.1014759.e001\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1014759.e001g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1014759.e001\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M1\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>C<\/mml:mi>\n                              <mml:mrow>\n                                <mml:mi>a<\/mml:mi>\n                                <mml:mi>c<\/mml:mi>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    and\n                    <jats:inline-formula id=\"pcbi.1014759.e002\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pcbi.1014759.e002g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pcbi.1014759.e002\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M2\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>C<\/mml:mi>\n                              <mml:mrow>\n                                <mml:mi>l<\/mml:mi>\n                                <mml:mi>j<\/mml:mi>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    biomass-equivalent trajectories from observable biomass and activity measurements, reconstructs dormant populations as model-constrained latent states, and uses these states to identify extracellular metabolite dynamics. After accounting for first-principles perfusion transport, SINDy identified sparse biological reaction terms associated with organic acid turnover, solvent formation, and acetone-to-isopropanol conversion. The resulting model captured active-biomass and metabolite trajectories and suggested that the coculture dynamics are consistent with acid-associated state transitions and sequential metabolic exchange. This framework provides a transparent strategy for interpreting partially observed microbial cocultures while explicitly treating dormant biomass as a latent reconstructed state.\n                  <\/jats:p>","DOI":"10.1371\/journal.pcbi.1014759","type":"journal-article","created":{"date-parts":[[2026,9,28]],"date-time":"2026-09-28T17:56:47Z","timestamp":1790618207000},"page":"e1014759","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":0,"title":["From observable fermentation data to hidden cell states: A modeling study of a mixotrophic Clostridium coculture under perfusion mode"],"prefix":"10.1371","volume":"22","author":[{"given":"Juhyeon","family":"Kim","sequence":"first","affiliation":[{"name":"Texas A&M University","place":["College Station, Texas, United States of America"],"department":["Artie McFerrin Department of Chemical Engineering"]},{"name":"Texas A&M University","place":["College Station, Texas, United States of America"],"department":["Texas A&M Energy Institute"]},{"name":"The Ohio State University","place":["Columbus, Ohio, United States of America"],"department":["William G. Lowrie Department of Chemical and Biomolecular Engineering"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9920-094X","authenticated-orcid":true,"given":"Hangjun","family":"Cho","sequence":"additional","affiliation":[{"name":"The Ohio State University","place":["Columbus, Ohio, United States of America"],"department":["William G. Lowrie Department of Chemical and Biomolecular Engineering"]},{"name":"Kongju National University","place":["Kongju, Republic of Korea"],"department":["Department of Mathematics Education"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jin Hong","family":"Mok","sequence":"additional","affiliation":[{"name":"Dongguk University\u2013Seoul","place":["Goyang-si, Gyeonggi-do, Republic of Korea"],"department":["Department of Food Science and Biotechnology"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hyeongmin","family":"Seo","sequence":"additional","affiliation":[{"name":"The University of Iowa","place":["Iowa City, Iowa, United States of America"],"department":["Department of Chemical and Biochemical Engineering"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7903-5681","authenticated-orcid":true,"given":"Joseph Sang-Il","family":"Kwon","sequence":"additional","affiliation":[{"name":"The Ohio State University","place":["Columbus, Ohio, United States of America"],"department":["William G. Lowrie Department of Chemical and Biomolecular Engineering"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2026,9,28]]},"reference":[{"issue":"2","key":"pcbi.1014759.ref001","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s40201-025-00946-0","article-title":"A review of biofuels and bioenergy production as a sustainable alternative: opportunities, challenges and future perspectives","volume":"23","author":"R Singh","year":"2025","journal-title":"J Environ Health Sci Eng"},{"key":"pcbi.1014759.ref002","first-page":"165","volume-title":"Sustainable production of bio-crude oil from algal biomass and its upgradation for enhanced fuel properties","author":"S Anand","year":"2025"},{"issue":"10","key":"pcbi.1014759.ref003","doi-asserted-by":"crossref","first-page":"14145","DOI":"10.1002\/er.6697","article-title":"Next\u2010generation biofuels and platform biochemicals from lignocellulosic 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