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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Recommended Citation
Talabis, D. S., Mendoza, E. R., & Jose, E. C. (2019). Complex balanced equilibria of weakly reversible power law kinetic systems. Mathematics, 82 (3), 601-624. Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/4485
Disciplines
Mathematics
Keywords
Chemical kinetics; Equilibrium
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