Mathematical Analysis for Electron Transfer Mediator/ Heterogeneous Catalyst Composites in Polymer Modified Electrodes

Abstract

Mathematical models of transport and kinetics of electrons and reactants in the layer of a modified electrode are discussed theoretically. The model comprises a system of reaction-diffusion equations that are nonlinearly connected. In this paper, the nonlinear differential equations that describe diffusion with a reaction term are solved using a highly accurate and conveniently accessible analytical method (AGM). A simple and closed approximate polynomial expression of substrate and mediator concentration and current has been developed for all parameter values. Furthermore, the numerical simulation of the topic is carried out in this paper utilizing a Matlab function. Simulated data and previously published limiting cases are used to validate the new analytical results. A reasonable agreement is observed.