Steady-state current in product inhibition kinetics in an amperometric biosensor: Adomian decomposition and Taylor series method

摘要

Theoretical models of an amperometric biosensor with product inhibition kinetics are discussed. These models are based on non-stationary diffusion equations containing a non-linear term related to non-Michaelis-Menten kinetics of the enzymatic reaction. The approximate analytical representation of steady-state concentrations is provided for small values Thiele modulus and all other input variables. Here the Adomian decomposition method and Taylor series method are used to find the analytical expressions for the concentration of substrate, product, current and sensitivity. A comparison of our approximate analytical results with numerical simulation is also presented. A satisfactory agreement is noted. The effect of the parameters Michaelis - Menten constant, inhibition constant and bulk concentration of substrate on the biosensor sensitivity and resistance are discussed.