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

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

2007-02-09

arxiv.org/abs/q-bio/0702021v2

Biology

Quantitative Biology

Subcellular Processes

4 pages, 2 figures, 1 table, RevTeX 4, final accepted version

Scientific paper

10.1103/PhysRevLett.99.108101

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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