A computational approach to multistationarity of power-law kinetic systems

DOI10.1007/s10910-019-01072-7zbMath1432.92044arXiv1902.02306OpenAlexW3100915626WikidataQ114852353 ScholiaQ114852353MaRDI QIDQ2299049

Eduardo R. Mendoza, Aurelio A. de los Reyes V, Bryan S. Hernandez

Publication date: 20 February 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02306

zbMATH Keywords

power-law kineticschemical reaction network theorymultistationarityanaerobic yeast fermentation pathwayglobal carbon cycle modelhigher deficiency algorithm

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biotechnology (92C75)

Related Items (8)

Positive equilibria of Hill-type kinetic systems ⋮ Complex Balanced Equilibria of Weakly Reversible Poly-Pl Systems: Existence, Stability, and Robustness ⋮ Common complexes of decompositions and complex balanced equilibria of chemical reaction networks ⋮ Weakly reversible CF-decompositions of chemical kinetic systems ⋮ A network-based parametrization of positive steady states of power-law kinetic systems ⋮ Positive equilibria of power law kinetics on networks with independent linkage classes ⋮ Comparative analysis of carbon cycle models via kinetic representations ⋮ Independent decompositions of chemical reaction networks

Uses Software

• crntwin

Cites Work

• Unnamed Item
• Reaction networks and kinetics of biochemical systems
• Chemical reaction network approaches to biochemical systems theory
• Positive equilibria of a class of power-law kinetics
• A deficiency-one algorithm for power-law kinetic systems with reactant-determined interactions
• Comparative characterization of the fermentation pathway of Saccharomyces cerevisiae using biochemical systems theory and metabolic control analysis: Model definition and nomenclature
• The existence and uniqueness of steady states for a class of chemical reaction networks
• Multiple steady states for chemical reaction networks of deficiency one
• Linear conjugacy of chemical kinetic systems
• Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces

This page was built for publication: A computational approach to multistationarity of power-law kinetic systems