Revealing regions of multiple steady states in heterogeneous catalytic chemical reaction networks using Gröbner basis

DOI10.1016/j.jsc.2016.07.024zbMath1405.92315OpenAlexW2485799720MaRDI QIDQ1711987

José Martín Méndez González

Publication date: 21 January 2019

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2016.07.024

zbMATH Keywords

Gröbner basischemical reaction networkscatalysisdeficiency analysis

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items

An algebraic method to calculate parameter regions for constrained steady-state distribution in stochastic reaction networks, Symbolic analysis of multiple steady states in a MAPK chemical reaction network, The number of equilibrium points of perturbed nonlinear positive dynamical systems

Uses Software

• Maple
• Mathematica
• crntwin

Cites Work

• Chemical reaction systems with toric steady states
• Gröbner bases for polynomial systems with parameters
• Bistability and oscillations in chemical reaction networks
• Ideals, Varieties, and Algorithms