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

Patrick B. Warren·Janette L. Jones
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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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Patrick B. Warren, Janette L. Jones. 2007-08-24. Duality, thermodynamics, and the linear programming problem in constraint-based models of metabolism. https://doi.org/10.1103/physrevlett.99.108101

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