A deficiency-one algorithm for power-law kinetic systems with reactant-determined interactions

DOI10.1007/s10910-018-0925-2zbMath1406.92800OpenAlexW2809554894WikidataQ114852358 ScholiaQ114852358MaRDI QIDQ1713969

Angelyn R. Lao, Noel T. Fortun, Luis F. Razon, Eduardo R. Mendoza

Publication date: 30 January 2019

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

Full work available at URL: https://doi.org/10.1007/s10910-018-0925-2

zbMATH Keywords

multiple equilibriapower-law kineticschemical reaction networkscarbon cycle modeldeficiency-one algorithmreactant-determined interactions

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20)

Related Items (8)

Positive equilibria of Hill-type kinetic systems ⋮ Common complexes of decompositions and complex balanced equilibria of chemical reaction networks ⋮ A network-based parametrization of positive steady states of power-law kinetic systems ⋮ Robustness in power-law kinetic systems with reactant-determined interactions ⋮ Comparative analysis of carbon cycle models via kinetic representations ⋮ Positive equilibria of weakly reversible power law kinetic systems with linear independent interactions ⋮ Independent decompositions of chemical reaction networks ⋮ A computational approach to multistationarity of power-law kinetic systems

Uses Software

• CoNtRol
• crntwin

Cites Work

• Biochemical systems theory: a review
• Reaction networks and kinetics of biochemical systems
• Chemical reaction network approaches to biochemical systems theory
• Strategies for representing metabolic pathways within biochemical systems theory: Reversible pathways
• Positive equilibria of a class of power-law kinetics
• The existence and uniqueness of steady states for a class of chemical reaction networks
• Multiple steady states for chemical reaction networks of deficiency one
• Power-Law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species
• Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces

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