Complex balanced equilibria of weakly reversible power law kinetic systems

• Main Authors: Talabis, Dylan Antonio S.J., Mendoza, Eduardo R., Jose, Editha C.
• Format: text
• Published: Animo Repository 2019
• Subjects: Chemical kinetics; Equilibrium; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/4485
• Institution: De La Salle University

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.