A mathematical modeling of an amperometric biosensor at mixed enzyme kinetics and
diffusion limitation in the case of substrate inhibition is developed. The model is based on
non-stationary diffusion equation containing a non-linear term related to non-Michaelis–
Menten kinetics of the enzymatic reaction. This paper presents the complex numerical
methods (He's variational iteration method and Homotopy perturbation method) to solve the
non-linear differential equations that describe the diffusion coupled with a non-linear …

In this paper, a mathematical model of an amperometric biosensor at mixed enzyme kinetics
and diffusion limitation in the case of substrate inhibition has been developed. The model is
based on time dependent reaction diffusion equation containing a non-linear term related to
non-Michaelis-Menten kinetics of the enzymatic reaction. Solution for the concentration of
the substrate has been derived for all values of parameters using the homotopy perturbation
method. All the approximate analytic expressions of substrate concentration are compared …