Analytical approach to a mathematical model of an enzyme-catalysed substrate conversion in a microbioreactor

Abstract

The paper presents a non-linear mathematical model for analytical solution of an enzyme loaded porous microbioreactor. The model is based on a system of reaction-diffusion equations, containing a non-linear term related to the Michaelis-Menten kinetics. A simple and most accurate closed form of an analytical expression pertaining to the substrate concentration profile for all possible values of Thiele modulus φ is derived. Moreover, here in we have employed Homotopy perturbation method (HPM) to solve the non-linear reaction-diffusion equations in a microbioreactor system. These analytical results were found to be in good agreement with numerical simulation result obtained by MATLAB software.