Mathematical modeling of enzymes reaction-diffusion in immobilized biocatalysts using homotopy perturbation and numerical methods

فاقد چكيده فارسي

In this research, the enzymes concentration in a spherical immobilized biocatalyst through the reaction-diffusion equation has been investigated. The Michaelis-Menten type was utilized for kinetic mechanism of enzymes reaction. The obtained equation is a second order nonlinear ordinary differential equation (ODE) with variable coefficients. So, the homotopy perturbation method (HPM) and numerical method were utilized to solve the reaction-diffusion equation. The profiles of dimensionless substrate concentration and effectiveness factor versus dimensionless distance of biocatalyst for different values of Michaelis-Menten constant and Thiele modulus were obtained. Then, the amount of deviation from numerical solution for HPM has been analyzed.