Duality, thermodynamics, and the linear programming problem in constraint-based models of metabolism

It is shown that the dual to the linear programming problem that arises in constraint-based models of metabolism can be given a thermodynamic interpretation in which the shadow prices are chemical potential analogues, and the objective is to minimise free energy consumption given a free energy drain...

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Bibliographic Details
Published inarXiv.org
Main Authors Warren, Patrick B, Jones, Janette L
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.08.2007
Subjects
Chemical potential
Constraint modelling
Energy consumption
Free energy
Linear programming
Mathematical programming
Metabolism
Microorganisms
Nonequilibrium thermodynamics
Organic chemistry
Shadow prices
Thermodynamic equilibrium
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Summary:It is shown that the dual to the linear programming problem that arises in constraint-based models of metabolism can be given a thermodynamic interpretation in which the shadow prices are chemical potential analogues, and the objective is to minimise free energy consumption given a free energy drain corresponding to growth. The interpretation is distinct from conventional non-equilibrium thermodynamics, although it does satisfy a minimum entropy production principle. It can be used to motivate extensions of constraint-based modelling, for example to microbial ecosystems.
ISSN:2331-8422
DOI:10.48550/arxiv.0702021