4.5 Article

Chemical reaction network approaches to Biochemical Systems Theory

期刊

MATHEMATICAL BIOSCIENCES
卷 269, 期 -, 页码 135-152

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2015.08.022

关键词

Chemical reaction network; Generalized mass action; Reactant-determined kinetics; Complex balanced steady states; Complex factorizable kinetics

资金

  1. German Federal Ministry of Education and Research (BMBF) Whitsun the e:Bio initiative

向作者/读者索取更多资源

This paper provides a framework to represent a Biochemical Systems Theory (BST) model (in either GMA or S-system form) as a chemical reaction network with power law kinetics. Using this representation, some basic properties and the application of recent results of Chemical Reaction Network Theory regarding steady states of such systems are shown. In particular, Injectivity Theory, including network concordance [36] and the Jacobian Determinant Criterion [43], a Lifting Theorem for steady states [26] and the comprehensive results of Muller and Regensburger [31] on complex balanced equilibria are discussed. A partial extension of a recent Emulation Theorem of Cardelli for mass action systems [3] is derived for a subclass of power law kinetic systems. However, it is also shown that the GMA and S-system models of human purine metabolism [10] do not display the reactant-determined kinetics assumed by Muller and Regensburger and hence only a subset of BST models can be handled with their approach. Moreover, since the reaction networks underlying many BST models are not weakly reversible, results for non-complex balanced equilibria are also needed. (C) 2015 Elsevier Inc. All rights reserved.

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