Analytical Solution of Steady State Substrate Concentration of an Immobilized Enzyme Kinetics by Laplace Transform Homotopy Perturbation Method
Subject Areas : International Journal of Mathematical Modelling & Computations
Devipriya
Ganeshan
1
(Department of Mathematics,
Stella Maris College,
Chennai - 600 086)
Keywords: numerical simulation, Nonlinear Differential Equation, Approximate Solution, Laplace Transform Homotopy Perturbation Method,
Abstract :
The nonlinear dynamical system modeling the immobilized enzyme kinetics with Michaelis-Menten mechanism for an irreversible reaction without external mass transfer resistance is considered. Laplace transform homotopy perturbation method is used to obtain the approximate solution of the governing nonlinear differential equation, which consists in determining the series solution convergent to the exact solution or enabling to built the approximate solution of the problem. Numerical solutions are obtained and the results are discussed graphically. The method allows to determine the solution in form of the continuous function, which is significant for the analysis of the steady state dimensionless substrate concentration with dimensionless distance on the different support materials.