Mathematical modelling of a mono-enzyme dual amperometric biosensor for enzyme-catalyzed reactions using homotopy analysis and Akbari-Ganji methods

The mathematical model is described in this article as a mono-enzyme dual biosensor. This model involves coupling the enzyme-catalyzed reactions under steady-state conditions for a reaction-diffusion equation describing the substrate and product. Pseudo-experimental responses to chemical mixtures were produced using a computer model of a biocatalytic amperometric biosensor that used a mono-enzyme-catalyzed (nonspecific) competitive conversion of two substrates.The non-linear system of reaction-diffusion equations into an approximate analytical expression is solved by employing the Homotopy Analysis Method (HAM) and Akbari-Ganji Method (AGM) are used. These expressions are compared with numerical simulations carried out using MATLAB. Further, the biosensor's resistance, sensitivity, and current density were analytically expressed.