Finding complex balanced and detailed balanced realizations of chemical reaction networks

Details Finding complex balanced and detailed balanced realizations of chemical reaction networks Finding complex balanced and detailed balanced realizations of chemical reaction networks

2010-10-21

arxiv.org/abs/1010.4477v1

Journal of Mathematical Chemistry, Volume 49, Number 6, Pages 1163-1179, 2011

Biology

Quantitative Biology

Molecular Networks

submitted to J. Math. Chem

Scientific paper

10.1007/s10910-011-9804-9

Reversibility, weak reversibility and deficiency, detailed and complex balancing are generally not "encoded" in the kinetic differential equations but they are realization properties that may imply local or even global asymptotic stability of the underlying reaction kinetic system when further conditions are also fulfilled. In this paper, efficient numerical procedures are given for finding complex balanced or detailed balanced realizations of mass action type chemical reaction networks or kinetic dynamical systems in the framework of linear programming. The procedures are illustrated on numerical examples.

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