The Michaelis-Menten reaction at low substrate concentrations: pseudo-first-order kinetics and conditions for timescale separation

DOI10.1007/S11538-024-01295-ZzbMATH Open1539.9206MaRDI QIDQ6540667

Justin S. Eilertsen, Sebastian Walcher, Santiago Schnell

Publication date: 17 May 2024

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

zbMATH Keywords

comparison principletotal quasi-steady state approximationmonotone dynamical systempseudo-first-order kinetics

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Singular perturbations for ordinary differential equations (34E15) Monotone systems involving ordinary differential equations (34C12)

Cites Work

• Title not available (Why is that?)
• A constructive approach to quasi-steady state reductions
• Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II
• Extending the quasi-steady state approximation by changing variables
• On the anti-quasi-steady-state conditions of enzyme kinetics
• Introducing total substrates simplifies theoretical analysis at non-negligible enzyme concentrations: pseudo first-order kinetics and the loss of zero-order ultrasensitivity
• Mathematical physiology. I: Cellular physiology
• Monotone chemical reaction networks
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• The Quasi-Steady-State Assumption: A Case Study in Perturbation
• Parameter Estimation for Differential Equations: a Generalized Smoothing Approach
• Parameter Estimation for Differential Equation Models Using a Framework of Measurement Error in Regression Models
• The unreasonable effectiveness of the total quasi-steady state approximation, and its limitations

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