Complex Balanced Equilibria of Weakly Reversible Power Law Kinetic Systems

Talabis, Dylan Antonio S. J.; Mendoza, Eduardo R. und Jose, Editha C. (2019): Complex Balanced Equilibria of Weakly Reversible Power Law Kinetic Systems. In: Match-Communications in Mathematical and in Computer Chemistry, Vol. 82, No. 3: pp. 601-624

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.

• Item Type: Journal article
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 0340-6253
• Language: English