Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species

DOI10.1137/20M1364503zbMath1496.92029arXiv1908.11270OpenAlexW2971087731MaRDI QIDQ5072971

Elisenda Feliu, Sebastian Walcher, Carsten Wiuf, Christian Lax

Publication date: 5 May 2022

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

Full work available at URL: https://arxiv.org/abs/1908.11270

zbMATH Keywords

mass action kineticspredator-prey systemchemical reaction networkrate constantMichaelis-Menten systemstoichiometric matrixblanket conditionsdirected multidigraphnoninteracting graphnoninteracting speciespost-translational modification (PTM) systemquasi-steady state reductionsingular perturbation reductiontwo-substrate mechanism

Mathematics Subject Classification ID

Applications of graph theory (05C90) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Population dynamics (general) (92D25) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Singular perturbations for ordinary differential equations (34E15) Systems biology, networks (92C42) Chemical graph theory (05C92)

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Fast reactions with non-interacting species in stochastic reaction networks

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