A decomposition-based approach for deriving positive steady states of a class of chemical reaction networks with non-mass-action kinetics

DOI10.46793/match.92-2.483hzbMath1544.92055MaRDI QIDQ6562224

Patrick Vincent N. Lubenia, Bryan S. Hernandez

Publication date: 26 June 2024

Published in: MATCH - Communications in Mathematical and in Computer Chemistry (Search for Journal in Brave)

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Cites Work

• Translated chemical reaction networks
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• Foundations of chemical reaction network theory
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• Computing weakly reversible deficiency zero network translations using elementary flux modes
• Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents (Invited Talk)
• Existence of Positive Steady States for Weakly Reversible Mass-Action Systems
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• Independent, Incidence Independent and Weakly Reversible Decompositions of Chemical Reaction Networks
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• Derivation of Steady State Parametrizations of Chemical Reaction Networks with n Independent and Identical Subnetworks
• Comparative analysis of kinetic realizations of insulin signaling

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