• MATHEMATICAL MODELING OF AMPEROMETRIC ENZYME ELECTRODES IN THE HOMOGENEOUS MEDIATED MECHANISM USING HOMOTOPY PERTURBATION METHOD

Abstract

A mathematical model of amperometric enzyme electrodes is re-studied using Homotopy perturbation method. An analysis of diffusion and kinetics in amperometric immobilized enzyme electrodes, containing a non-linear term related to Michaelis-Menten kinetics, for reaction of enzyme and substrate is presented. In this paper, we obtain approximate analytical solutions of non-linear equations, describing diffusion and reaction within the film, by employing the homotopy perturbation method (HPM). The obtained analytical results are compared with the available analytical and numerical results and found to be in satisfactory agreement.