An application of the Adomian decomposition method to the transient behavior of a model biochemical reaction

DOI10.1016/0022-247X(88)90202-8zbMath0635.92007MaRDI QIDQ1097846

Asok K. Sen

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Adomian decomposition methodapproximate analytical solutionpower series solutionbiochemistrynonlinear initial value problemiterated Shanks transformationtransient phase of the Michaelis-Menten reaction

Mathematics Subject Classification ID

Padé approximation (41A21) Numerical methods for initial value problems involving ordinary differential equations (65L05) Computational methods for problems pertaining to biology (92-08) Physiological, cellular and medical topics (92Cxx)

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Numerical solution for fuzzy enzyme kinetic equations by the Runge-Kutta method ⋮ Using shifted Legendre scaling functions for solving fractional biochemical reaction problem ⋮ Analytic solutions for nonlinear equations ⋮ Approximate solutions of the Michaelis-Menten nonlinear biochemical reaction model using sigmoid-weighted neural networks ⋮ Stochastic suicide substrate reaction model ⋮ Kashuri Fundo Decomposition Method for Solving Michaelis-Menten Nonlinear Biochemical Reaction Model ⋮ On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model ⋮ Modified step variational iteration method for solving fractional biochemical reaction model ⋮ Shooting type Laplace-Adomian decomposition algorithm for nonlinear differential equations with boundary conditions at infinity ⋮ Introducing variational iteration method to a biochemical reaction model ⋮ An approximate solution for the transient kinetic behavior of enzyme- catalyzed reactions: The irreversible Michaelis-Menten kinetics ⋮ Analytical-Algebraic Approach to Solving Chaotic System ⋮ Numerical Modeling for Nonlinear Biochemical Reaction Networks ⋮ Approximate analytical solution of fractional order biochemical reaction model and its stability analysis ⋮ Numerical treatment by using a hybrid efficient technique for the biochemical reaction model ⋮ Numerical different methods for solving the nonlinear biochemical reaction model

Cites Work

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• Coupled differential equations and coupled boundary conditions
• Systems of nonlinear partial differential equations
• A new approach to the heat equation - an application of the decomposition method
• A coupled nonlinear system
• Inversion of nonlinear stochastic operators

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