Numerical study of the effect of some mathematical modeling parameters of single enzyme biosensor based on Michaelis-Menten enzymatic reaction

With the development of biosensor technology in various sciences, mathematical modeling of biosensors seems to be an important and necessary issue. In this paper, we present the numerical simulation of the mathematical model of amperometric biosensor based on the enzyme. This model is based on reaction-diffusion equations containing a nonlinear term of the Michaelis-Menten enzymatic reaction. The governing equations are discretized with the multi-quadric radial basis functions collocation method in space variable and semi-implicit backward Euler scheme in time. The effect of the reaction- diffusion parameter on other parameters of the mathematical model and biosensor response is investigated. The direct relationship, the current density with the maximal enzymatic rate, and the coefficient of reaction- diffusion are studied. The more stable effect of biosensor behavior with a thicker of enzyme layer than its similar type with a thinner layer has also been shown. In this study, the maximal enzymatic rate and thickness of the enzymatic layer are considered in the range of 10^-9 to 10^-3 and 0.005 to 0.09 , respectively.