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        <datestamp>2026-09-28T17:57:40Z</datestamp>
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        <oai_dc:dc xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"  xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
          <dc:title>&lt;p&gt;Overview of the proposed modeling framework.&lt;/p&gt;</dc:title>
          <dc:creator>Juhyeon Kim (3796651)</dc:creator>
          <dc:creator>Hangjun Cho (24418434)</dc:creator>
          <dc:creator>Jin Hong Mok (25132877)</dc:creator>
          <dc:creator>Hyeongmin Seo (7504133)</dc:creator>
          <dc:creator>Joseph Sang-Il Kwon (6894362)</dc:creator>
          <dc:subject>Biochemistry</dc:subject>
          <dc:subject>Medicine</dc:subject>
          <dc:subject>Biotechnology</dc:subject>
          <dc:subject>Environmental Sciences not elsewhere classified</dc:subject>
          <dc:subject>Chemical Sciences not elsewhere classified</dc:subject>
          <dc:subject>Ecology</dc:subject>
          <dc:subject>Biological Sciences not elsewhere classified</dc:subject>
          <dc:subject>Mathematical Sciences not elsewhere classified</dc:subject>
          <dc:subject>sequential metabolic exchange</dc:subject>
          <dc:subject>reconstructs dormant populations</dc:subject>
          <dc:subject>div &gt;&lt; p</dc:subject>
          <dc:subject>combines structured population</dc:subject>
          <dc:subject>internal physiological states</dc:subject>
          <dc:subject>hidden cell states</dc:subject>
          <dc:subject>dormant cell states</dc:subject>
          <dc:subject>constrained latent states</dc:subject>
          <dc:subject>standard fermentation measurements</dc:subject>
          <dc:subject>associated state transitions</dc:subject>
          <dc:subject>principles perfusion transport</dc:subject>
          <dc:subject>observable fermentation data</dc:subject>
          <dc:subject>clostridium ljungdahlii &lt;/</dc:subject>
          <dc:subject>clostridium acetobutylicum &lt;/</dc:subject>
          <dc:subject>hybrid modeling framework</dc:subject>
          <dc:subject>organic acid turnover</dc:subject>
          <dc:subject>framework estimates active</dc:subject>
          <dc:subject>clostridium &lt;/</dc:subject>
          <dc:subject>framework provides</dc:subject>
          <dc:subject>state reconstruction</dc:subject>
          <dc:subject>activity measurements</dc:subject>
          <dc:subject>perfusion mode</dc:subject>
          <dc:subject>partially observable</dc:subject>
          <dc:subject>transparent strategy</dc:subject>
          <dc:subject>sparse identification</dc:subject>
          <dc:subject>solvent formation</dc:subject>
          <dc:subject>rarely resolved</dc:subject>
          <dc:subject>nonlinear dynamics</dc:subject>
          <dc:subject>modeling study</dc:subject>
          <dc:subject>metabolite trajectories</dc:subject>
          <dc:subject>level behavior</dc:subject>
          <dc:subject>isopropanol conversion</dc:subject>
          <dc:subject>influence system</dc:subject>
          <dc:subject>equivalent trajectories</dc:subject>
          <dc:description>&lt;div&gt;&lt;p&gt;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 &lt;i&gt;Clostridium acetobutylicum&lt;/i&gt;-&lt;i&gt;Clostridium ljungdahlii&lt;/i&gt; coculture under perfusion mode. The framework estimates active  and  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.&lt;/p&gt;&lt;/div&gt;</dc:description>
          <dc:date>2026-09-28T17:57:36Z</dc:date>
          <dc:type>Image</dc:type>
          <dc:type>Figure</dc:type>
          <dc:identifier>10.1371/journal.pcbi.1014759.g001</dc:identifier>
          <dc:relation>https://figshare.com/articles/figure/_p_Overview_of_the_proposed_modeling_framework_p_/34017905</dc:relation>
          <dc:rights>CC BY 4.0</dc:rights>
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