Quasi-steady-state approximations derived from the stochastic model of enzyme kinetics

DOI10.1007/s11538-019-00574-4zbMath1415.92093arXiv1711.02791OpenAlexW2963640910WikidataQ91524293 ScholiaQ91524293MaRDI QIDQ2417511

Wasiur R. KhudaBukhsh, Heinz Koeppl, Hye-Won Kang, Grzegorz A. Rempała

Publication date: 12 June 2019

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02791

zbMATH Keywords

multiscale approximationMichaelis-Menten kineticsQSSAstochastic reaction network

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Systems biology, networks (92C42) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (11)

Fast reactions with non-interacting species in stochastic reaction networks ⋮ Variability, transients and excitement in a stochastic model of enzyme kinetics ⋮ Stochastic enzyme kinetics and the quasi-steady-state reductions: application of the slow scale linear noise approximation à la Fenichel ⋮ Embracing noise in chemical reaction networks ⋮ Comparison theorems for stochastic chemical reaction networks ⋮ On the validity of the stochastic quasi-steady-state approximation in open enzyme catalyzed reactions: timescale separation or singular perturbation? ⋮ Accuracy analysis of hybrid stochastic simulation algorithm on linear chain reaction systems ⋮ Multiscale stochastic reaction-diffusion algorithms combining Markov chain models with stochastic partial differential equations ⋮ Discrepancies between extinction events and boundary equilibria in reaction networks ⋮ Accuracy of Multiscale Reduction for Stochastic Reaction Systems ⋮ Hunting $\varepsilon$: The Origin and Validity of Quasi-Steady-State Reductions in Enzyme Kinetics

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