Nonnegative Linear Elimination for Chemical Reaction Networks

DOI10.1137/18M1197692zbMath1429.92076arXiv1807.00061OpenAlexW2996719774WikidataQ126584762 ScholiaQ126584762MaRDI QIDQ5205261

Meritxell Sáez, Elisenda Feliu, Carsten Wiuf

Publication date: 11 December 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00061

zbMATH Keywords

linear systempositive solutioneliminationnoninteractingspanning forest

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Systems biology, networks (92C42)

Related Items (2)

Critical parameters for singular perturbation reductions of chemical reaction networks ⋮ Symbolic Proof of Bistability in Reaction Networks

Cites Work

• Chemical reaction systems with toric steady states
• Graphical reduction of reaction networks by linear elimination of species
• Toric dynamical systems
• The rational parameterisation theorem for multisite post-translational modification systems
• Graphical criteria for positive solutions to linear systems
• The existence and uniqueness of steady states for a class of chemical reaction networks
• Variable elimination in post-translational modification reaction networks with mass-action kinetics
• Power-Law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species
• Variable Elimination in Chemical Reaction Networks with Mass-Action Kinetics
• Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces

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