Rigorous estimates for the quasi-steady state approximation of the Michaelis-Menten reaction mechanism at low enzyme concentrations

DOI10.1016/j.nonrwa.2024.104088zbMATH Open1548.92022MaRDI QIDQ6553019

S. Schnell, Sebastian Walcher, Justin S. Eilertsen

Publication date: 11 June 2024

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsordinary differential equationserror analysisphase plane analysisdifferential inequalitiestimescales

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Singular perturbations of ordinary differential equations (34D15)

Cites Work

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• Michaelis-Menten kinetics at high enzyme concentrations
• Enzyme kinetics at high enzyme concentration
• On the validity of the steady state assumption of enzyme kinetics
• Geometric singular perturbation theory for ordinary differential equations
• Enzyme kinetics far from the standard quasi-steady-state and equilibrium approximations
• Extending the quasi-steady state approximation by changing variables
• On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism
• On the anti-quasi-steady-state conditions of enzyme kinetics
• Determining ``small parameters for quasi-steady state
• Properties of the Michaelis-Menten mechanism in phase space
• Quasi-steady state in the Michaelis-Menten system
• The Quasi-Steady-State Assumption: A Case Study in Perturbation
• The Lambert W Function
• Noise-Induced Phenomena in Slow-Fast Dynamical Systems
• Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks

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