Mathematical Modelling and Analysis of the Non-Linear Multi-Layer Amperometric Biosensor with Degradation of Concentrations Derived by Analytical Expressions in Chemical Sciences

A mathematical model has been developed to assess the multilayer heterogeneous biocatalytic system. A nonlinear system of the mathematical model's analytical expressions for the non-steady state conditions obtained by the new homotopy perturbation method (NHPM) has been computed. In the mathematical model, there are three scenarios: When the substrate degradation diffuses out of the biosensor, when the product diffuses for the biosensor and when both the substrate and product degradation diffuse for the biosensor. Profiles of how the substrate and product degradation rates do not affect the biosensor response have been created in three situations. The third situation is solved by the Akbari-Ganji method (AGM), which describes not effect of degradation rates' impact on the biosensor response. Furthermore, the numerical simulations of the problem are presented using MATLAB. These numerical results are compared with analytical results, and a good agreement is obtained. A graphical procedure is carried out for the degradation rates of species, kinetic parameters and current for steady and non-steady state conditions.