Finding complex balanced and detailed balanced realizations of chemical reaction networks
Molecular Networks
2011-05-11 v1 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1010.4477,
title = {Finding complex balanced and detailed balanced realizations of chemical reaction networks},
author = {Gabor Szederkenyi and Katalin M. Hangos},
journal= {arXiv preprint arXiv:1010.4477},
year = {2011}
}
Comments
submitted to J. Math. Chem