A Theoretical Model for an Immobilized Oxidase ...

A theoretical model of an immobilized oxidase enzyme electrode is discussed. The model is based on three reaction/diffusion equations containing a non-linear reaction term under the steady state conditions. An analytical expression pertaining to concentrations of the immobilization of three enzyme substrates are obtained. Furthermore, we employ Homotopy perturbation method (HPM) to solve the system of non-linear reaction/diffusion equations. Simple and an approximate polynomial expression of concentration of substrate, oxygen and oxidized mediator and current were obtained in terms of the Thiele moduli and the small values of parameters Bs (normalized surface concentration of substrate), Bo (normalized surface concentration of oxygen) and Bm (normalized surface concentration of oxidized mediator). The minimum value of the dimensionless concentration of Fs, Fo and Fm in terms of parameter is also reported. Furthermore, in this work the numerical simulation of the problem is also reported using Matlab program. An agreement between analytical expressions and numerical results is observed.