Rescue of the Quasi‐Steady‐State Approximation in a Model for Oscillations in an Enzymatic Cascade

DOI10.1137/060654359zbMath1191.34071OpenAlexW2118076131MaRDI QIDQ3435014

Thomas Erneux, Albert Goldbeter

Publication date: 3 May 2007

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

Full work available at URL: https://doi.org/10.1137/060654359

zbMATH Keywords

singular perturbationenzyme reactionsquasi-steady-state approximationlimit-cycle oscillations

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle ⋮ Effects of quasi-steady-state reduction on biophysical models with oscillations ⋮ Asymptotic analysis of a target-mediated drug disposition model: algorithmic and traditional approaches ⋮ Glycolysis in saccharomyces cerevisiae: algorithmic exploration of robustness and origin of oscillations ⋮ Quasi steady state and partial equilibrium approximations: their relation and their validity

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