An amperometric biosensor and its steady state current in the case of substrate and product inhibition: Taylors series method and Adomian decomposition method

Abstract

In this paper, an amperometric biosensor model with substrate and product inhibition kinetics is analysed. This model is a steady-state system of reaction-diffusion equations with non-linear terms related to non-Michaelis-Menten kinetics of an enzymatic reaction. We present the approximate analytical expression of the substrate and product concentrations using well-founded methods, namely the Taylors series method (TSM) and the Adomian decomposition method (ADM). These methods proved that they fit for all values of parameters in this model. The steady-state biosensor current, biosensor substrate sensitivity and resistance are also discussed. We also present the numerical solution of the described model using MATLAB programming, and it is noted that there is satisfactory agreement in comparing the analytical solution with numerical results for all possible values of parameters. The effects of the parameters, such as inhibition constants, diffusion parameters, bulk concentration and Michaelis-Menten constant on the sensitivity and the resistance of the biosensor are analysed.