Complex balanced equilibria of weakly reversible poly-Pl systems: Existence, stability, and robustness
College
College of Science
Department/Unit
Mathematics and Statistics Department
Document Type
Article
Source Title
arXiv Preprint
Volume
2112
Publication Date
2021
Abstract
Poly-PL kinetic systems (PYK) are kinetic systems consisting of nonnegative linear combinations of power law functions. In this contribution, we analyze these kinetic systems using two main approaches: (1) we define a canonical power law representation of a poly-PL system, and (2) we transform a poly-PL system into a dynamically equivalent power law kinetic system that preserves the stoichiometric subspace of the system. These approaches led us to establish results that concern important dynamical properties of poly-PL systems that extend known results for generalized mass actions systems (GMAS) such as existence, uniqueness and parametrization of complex balanced steady states, and linear stability of complex balanced equilibria. Furthermore, the paper discusses subsets of poly-PL systems that exhibit two types of concentration robustness in some species namely absolute concentration robustness and balanced concentration robustness.
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Recommended Citation
Jose, E. C., Mendoza, E. R., & Talabis, D. S. (2021). Complex balanced equilibria of weakly reversible poly-Pl systems: Existence, stability, and robustness. arXiv Preprint, 2112 Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/14318
Disciplines
Physical Sciences and Mathematics
Keywords
Chemical kinetics
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