Introducing total substrates simplifies theoretical analysis at non-negligible enzyme concentrations: pseudo first-order kinetics and the loss of zero-order ultrasensitivity

DOI10.1007/s00285-009-0267-6zbMath1311.92095OpenAlexW2151492171WikidataQ51743570 ScholiaQ51743570MaRDI QIDQ2340012

Alberto Maria Bersani, Morten Gram Pedersen

Publication date: 15 April 2015

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

Full work available at URL: https://doi.org/10.1007/s00285-009-0267-6

zbMATH Keywords

metabolic control analysisfirst order kineticscovalent modificationGoldbeter-Koshland switchsubstrate sequestration

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

Related Items (10)

New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis-Menten paper ⋮ A kinetic analysis of coupled (or auxiliary) enzyme reactions ⋮ Zero-order ultrasensitivity: a study of criticality and fluctuations under the total quasi-steady state approximation in the linear noise regime ⋮ Approximation of enzyme kinetics for high enzyme concentration by a first order perturbation approach ⋮ Uniform Asymptotic Expansions beyond the tQSSA for the Goldbeter--Koshland Switch ⋮ Is there anything left to say on enzyme kinetic constants and quasi-steady state approximation? ⋮ Modeling the action of drugs on cellular enzymes by means of optimal control techniques ⋮ A perturbation solution of Michaelis-Menten kinetics in a ``total framework ⋮ A study case for the analysis of asymptotic expansions beyond the tQSSA for inhibitory mechanisms in enzyme kinetics. ⋮ Singular Perturbation Techniques and Asymptotic Expansions for Some Complex Enzyme Reactions

Cites Work

• Michaelis-Menten kinetics at high enzyme concentrations
• Quasi steady-state approximations in complex intracellular signal transduction networks - a word of caution
• The total quasi-steady-state approximation for complex enzyme reactions
• Extending the quasi-steady state approximation by changing variables
• The total quasi-steady-state approximation for fully competitive enzyme reactions
• The Quasi-Steady-State Assumption: A Case Study in Perturbation

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