Analytical solution of non-linear enzyme reaction equations arising in mathematical chemistry

DOI10.1007/s10910-011-9853-0zbMath1303.92154OpenAlexW2157714885MaRDI QIDQ645176

M. Uma Maheswari, L. Rajendran

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1007/s10910-011-9853-0

zbMATH Keywords

Michaelis-Menten kineticshomotopy perturbation methodenzyme reactionnon-linear reaction equations

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Biochemistry, molecular biology (92C40) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (7)

Approximation of enzyme kinetics for high enzyme concentration by a first order perturbation approach ⋮ Multistage homotopy perturbation method for nonlinear reaction networks ⋮ The polymerase chain reaction model analyzed by the homotopy perturbation method ⋮ On approximate analytical solutions of differential equations in enzyme kinetics using homotopy perturbation method ⋮ A transformed time-dependent Michaelis-Menten enzymatic reaction model and its asymptotic stability ⋮ Solution method for the transformed time-dependent Michaelis-Menten enzymatic reaction model ⋮ Irreversible linear pathways in enzymatic reactions: analytical solution using the homotopy perturbation method

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A reliable treatment of homotopy perturbation method for Klein-Gordon equations
• He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind
• Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method
• Modified homotopy perturbation method for solving Fredholm integral equations
• A simple perturbation approach to Blasius equation
• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

This page was built for publication: Analytical solution of non-linear enzyme reaction equations arising in mathematical chemistry