dorsal/arxiv
View SchemaDuality, thermodynamics, and the linear programming problem in constraint-based models of metabolism
| Authors | Patrick B. Warren, Janette L. Jones |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0702021 |
| URL | https://arxiv.org/abs/q-bio/0702021 |
| DOI | 10.1103/PhysRevLett.99.108101 |
Abstract
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.
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"abstract": "It is shown that the dual to the linear programming problem that arises in\nconstraint-based models of metabolism can be given a thermodynamic\ninterpretation in which the shadow prices are chemical potential analogues, and\nthe objective is to minimise free energy consumption given a free energy drain\ncorresponding to growth. The interpretation is distinct from conventional\nnon-equilibrium thermodynamics, although it does satisfy a minimum entropy\nproduction principle. It can be used to motivate extensions of constraint-based\nmodelling, for example to microbial ecosystems.",
"arxiv_id": "q-bio/0702021",
"authors": [
"Patrick B. Warren",
"Janette L. Jones"
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"doi": "10.1103/PhysRevLett.99.108101",
"title": "Duality, thermodynamics, and the linear programming problem in constraint-based models of metabolism",
"url": "https://arxiv.org/abs/q-bio/0702021"
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