Reaction/Diffusion Equation with Michaelis-Menten Kinetics in Microdisk Biosensor: Homotopy Perturbation Method Approach

摘要

This paper presents the non steady state model of a microdisk enzyme based biosensor wherethe enzyme reacts directly on the electrode itself. The model is based on diffusion equation containinga non-linear term related to Michaelis-Menten kinetics of enzymatic reaction. We have reported for thefirst time the utilization of new approaches of the homotopy perturbation method (HPM) to solvenonlinear partial differential equations in microdisk biosensor. Our analytical solution was alsocompared with numerical solutions and satisfactory agreement was noted. The influence of variousparameters on the concentration are also discussed.