Complex balanced equilibria of weakly reversible power law kinetic systems

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

Mathematics

Volume

82

Issue

3

First Page

601

Last Page

624

Publication Date

1-1-2019

Abstract

In this paper, we use the concept of kinetic reactant deficiency to determine the existence of complex balanced equilibria of power law kinetic systems. We previously introduced a class of power law kinetic systems whose kinetic order vectors (which we call “interactions”) are reactant-determined (i.e. reactions with the same reactant complex have identical vectors) and are linear independent per linkage class, denoted by PL-TIK systems. A subset of PL-TIK systems was found to admit a complex balanced equilibrium. In this work, we prove that zero kinetic reactant deficiency systems are precisely the PL-TIK systems. Our main result is the existence of complex balanced equilibria for weakly reversible systems with zero kinetic reactant deficiency (for any rate constant), hence, generalizing the previous study. © 2019 University of Kragujevac, Faculty of Science. All rights reserved.

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Disciplines

Mathematics

Keywords

Chemical kinetics; Equilibrium

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