Steady-state substrate and product concentrations for non-michaelis-menten kinetics in an amperometric biosensor-hyperbolic function and padeapproximants method

Abstract

A theoretical model is presented for an amperometric biosensor with inhibition of the substrate. This model is based on the non-stationary diffusion equations which contains a non-linear term connected to the enzymatic reaction of non-Michaelis-Menten kinetics. This paper describes the analytical representation of concentrations for steady-state conditions and for all parameter values. Hyperbolic function and Pade approximants method are used to evaluate the analytical expressions of concentration of substrate, product, substrate flux and current. A comparison of our estimated analytical results with the numerical simulation and previous analytical results available is provided. This observed a good agreement.