A theoretical and computational analysis of the concentration of substrate and product in enzyme-based electrochemical biosensors: Akbari-Ganji’s method

Abstract

A mathematical model for a two-compartment biocatalytic system has been discussed. The modelling biosensor has two layers, one composed of a membrane and the other of an enzyme layer. This model involves a set of nonlinear differential equations and matching boundary conditions. We can obtain the substrate and product concentration in the enzyme and membrane layer by solving the nonlinear equations analytically using Akbari-Ganji’s method and numerically using compact finite difference schemes for the first time. The impact of the diffusion module, ratio of thicknesses of the enzyme and membrane layers, saturation, and degradation parameters on the biosensor concentration have been discussed. A satisfactory level of agreement is found between our analytical results and the simulation outcomes. These formulae can be employed for monitoring the biosensor response.