A mathematical model describing the reduction of Hydrogen peroxide (H 2 O 2 ) to water in a metal dispersed conducting polymer film is discussed. The model is based on a system of reaction-diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reaction. The approximate analytical expressions corresponding to the concentration of substrate and product for steady and non-steady state conditions have been obtained using a new approach to homotopy perturbation method (HPM). Approximate analytical expressions of the electrochemical oxidation current are also presented for steady and non-steady state conditions. The numerical simulation (Matlab program) response for concentration profiles was carried out and compared with the analytical results of this work and are found to be in good agreement. The influence of initial substrate concentration, the thickness of the film as well as the diffusion layer and kinetic parameters on the current response were investigated. A graphical procedure for estimating the kinetic parameters from the expression of the current response is also proposed.
This paper presents the non steady state model of a microdisk enzyme based biosensor where the enzyme reacts directly on the electrode itself. The model is based on diffusion equation containing a non-linear term related to Michaelis-Menten kinetics of enzymatic reaction. We have reported for the first time the utilization of new approaches of the homotopy perturbation method (HPM) to solve nonlinear partial differential equations in microdisk biosensor. Our analytical solution was also compared with numerical solutions and satisfactory agreement was noted. The influence of various parameters on the concentration are also discussed.
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