Theoretical Analysis of the Enzyme Reaction Processes Within the Multiscale Porous Biocatalytic Electrodes: Akbari–Ganji's and Taylor’s Series Method.

We discuss a theoretical model that describes glucose oxidation in a multiscale porous biocatalytic electrode. The model under consideration consists of two nonlinear differential equations that describe diffusion and reaction in the hydrogel film. The Akbari–Ganji's and Taylor series methods have been used in this communication to obtain the analytical expressions for the concentrations of the oxidized mediator, Glucose, and current. Additionally, the optimal electrode thickness of the film is calculated analytically. The impact of parameters on current is also explored. The parameter with the most significant effect on the current is the ratio of the oxidized mediator's diffusion to the enzymatic process occurring within the film. The numerical solution (Matlab) validates our analytical results.