期刊
SIAM JOURNAL ON APPLIED MATHEMATICS
卷 72, 期 6, 页码 1926-1947出版社
SIAM PUBLICATIONS
DOI: 10.1137/110847056
关键词
chemical reaction network theory; generalized mass action kinetics; complex balancing; generalized Birch's theorem; oriented matroids
资金
- Austrian Science Fund (FWF) [J3030-N18]
Mass action systems capture chemical reaction networks in homogeneous and dilute solutions. We suggest a notion of generalized mass action systems that admits arbitrary power-law rate functions and serves as a more realistic model for reaction networks in intracellular environments. In addition to the complexes of a network and the related stoichiometric subspace, we introduce corresponding kinetic complexes, which represent the exponents in the rate functions and determine the kinetic-order subspace. We show that several results of chemical reaction network theory carry over to the case of generalized mass action kinetics. Our main result essentially states that if the sign vectors of the stoichiometric and kinetic-order subspace coincide, there exists a unique complex balancing equilibrium in every stoichiometric compatibility class. However, in contrast to classical mass action systems, multiple complex balancing equilibria in one stoichiometric compatibility class are possible in general.
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