An alternative approach to Michaelis-Menten kinetics that is based on the renormalization group

DOI10.1016/j.mbs.2017.11.012zbMath1393.92017OpenAlexW2771809944WikidataQ47590153 ScholiaQ47590153MaRDI QIDQ1642113

Enrico Bersani, Barbara Coluzzi, Alberto Maria Bersani

Publication date: 20 June 2018

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2017.11.012

zbMATH Keywords

singular perturbationperturbation expansionenzyme kineticsrenormalization group approach

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

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• A perturbation solution of Michaelis-Menten kinetics in a ``total framework
• On the Lambert \(w\) function
• Extending the quasi-steady state approximation by changing variables
• The total quasi-steady-state approximation is valid for reversible enzyme kinetics
• Quasi-steady-state kinetics at enzyme and substrate concentrations in excess of the Michaelis-Menten constant
• On the validity and errors of the pseudo-first-order kinetics in ligand-receptor binding
• New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis-Menten paper
• The Renormalization Group: A Perturbation Method for the Graduate Curriculum
• Renormalization Group Theory for Global Asymptotic Analysis
• The Quasi-Steady-State Assumption: A Case Study in Perturbation
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
• Singular Perturbations on the Infinite Interval

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