SIMULATION OF TIME-DEPENDENT ENZYME KINETICS BY AN EXPLICIT NUMERIC-ANALYTIC TECHNIQUE

I. Hashim (Malaysia) and M. S. Selamat (Malaysia)

Received August 7, 2007

Abstract

The total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is simulated by an adaptation of the classical Adomian decomposition method (ADM). The ADM is treated as an algorithm for approximating the solution of the reaction in a sequence of time intervals, i.e., the classical ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). Numerical comparisons with the combined ADM-Shanks, ADM-Padé and the classical fourth-order Runge-Kutta (RK4) methods are presented.

Keywords and phrases: Adomian decomposition method, nonlinear ODEs, biochemical reaction.