Theoretical analysis and steady-state responses of the multienzyme amperometric biosensor system for nonlinear reaction-diffusion equations

In this study, a mathematical model for a multienzyme biosensor system is presented. This system identifies analytes by chemical conversion into the signal response. It is based on nonlinear reaction-diffusion equations for a bisubstrate amperometric system under steady-state conditions. A precise parametric analysis is crucial for a better understanding of the nonlinear multienzyme biosensor. The Akbari-Ganji method is used to solve the system of nonlinear differential equations. AGM is already utilized to solve differential equations in heat transfer science. In this study, it is employed for the first time to approximate the solution of a nonlinear multienzyme biosensor. An approximate analytical expression for the concentration of substrate, inhibitor, co-substrate, product 1, product 3 and current are obtained. Furthermore, the current is used to determine the sensitivity and resistance of a biosensor. This study uses the MATLAB tool to describe the numerical simulation of the problem. A satisfactory level of agreement was found between the analytical and simulation results for the experimental parameter values. The influence of the parameters on sensitivity, resistance and current are also investigated using sensitivity analysis. Current and sensitivity are strongly influenced by the substrate concentration in the bulk solution and the glucose reaction constant, respectively. The most significant factor influencing biosensor resistance is membrane thickness. This work serves as a resource for further research into concentration models and sheds light on relevant applications, such as food safety, biomedicine, and environmental research.