Numerical simulation of the biosensors in a trigger mode based on Michaelis-Menten enzymatic reaction

An amperometric biosensor in trigger mode is a type of biosensor which is used to improve the sensitivity and specificity of the detection event by coupling different enzymes. In this paper, we study a numerical scheme to solve the one-dimensional diffusion-reaction equations with a nonlinear term related to Michaelis-Menten kinetics of the enzymatic reactions. In order to simulate numerically the model under study, we discretize the time variable with a   semi-implicit backward Euler approach. Also, we use the meshfree collocation method based on thin plate spline radial basis function for the discretization of the spatial derivative. The biosensor response with and without amplification has been compared. The influence of  the normalized Michaelis constant, the maximal enzymatic rate and substrate concentration on the  triggering biosensor response is investigated.