Theoretical analysis of the steady-state responses of an innovative general flexible enzyme-electrode in potentiometric biosensors

Abstract

A mathematical model of potentiometric enzyme electrodes of general shape for a steady-state condition has been proposed. Two nonlinear reaction-diffusion equations for the Michaelis-Menten equation are employed to create the model. These equations describe the amounts of substrates and products in the catalytic layer. Analytical expressions for substrate and product concentrations and the related flux response have been generated for all parameters using the three analytical techniques. The analytical solutions generated thoroughly characterize two kinetic parameters: the unsaturation/saturation parameter and the reaction/diffusion parameter.

The influence of the parameters on the biosensor sensitivity is also discussed. Numerical simulation (Scilab/Matlab) has been performed to validate the new analytical results. There is a noticeable good agreement between the theoretical and numerical results.