On approximate analytical solutions of differential equations in enzyme kinetics using homotopy perturbation method

DOI10.1007/S10910-012-0121-8zbMath1402.92225OpenAlexW2028778495MaRDI QIDQ1945518

D. Vogt

Publication date: 8 April 2013

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

Full work available at URL: https://doi.org/10.1007/s10910-012-0121-8

zbMATH Keywords

enzyme kineticshomotopy perturbation methodnon-linear reaction equations

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items (7)

Analytical solutions for the rate equations of irreversible two-step consecutive processes with mixed second order later steps ⋮ The polymerase chain reaction model analyzed by the homotopy perturbation method ⋮ A transformed time-dependent Michaelis-Menten enzymatic reaction model and its asymptotic stability ⋮ Model predictive control based on Kalman filter for constrained Hammerstein-Wiener systems ⋮ Analytical solutions for the rate equations of irreversible two-step consecutive processes with second order later steps ⋮ Solution method for the transformed time-dependent Michaelis-Menten enzymatic reaction model ⋮ Kinetics of irreversible consecutive processes with first order second steps: analytical solutions

Cites Work

• Analytical solution of non-linear enzyme reaction equations arising in mathematical chemistry
• Enzyme kinetics at high enzyme concentration
• Mathematical biology. Vol. 1: An introduction.
• Homotopy perturbation technique
• Mathematical physiology. I: Cellular physiology
• The Quasi-Steady-State Assumption: A Case Study in Perturbation
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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