One-Dimensional Modelling Of A Carbon Nanotube-Based Biosensor

Abstract

This paper presents a one-dimensional-in-space mathematical model of an amperometric biosensor based on a carbon nanotube electrode deposited on a perforated membrane. The developed model is based on nonlinear reaction-diffusion equations. The conditions at which the one-dimensional mathematical model can be applied to an accurate simulation of the biosensor response are investigated. The accuracy of the response simulated by using one-dimensional model is evaluated by the response simulated by the corresponding two-dimensional model. The mathematical model and the numerical solution are also validated by an experimental data. The obtained agreement between the simulation results and experimental data is admissible for different configurations of the biosensor operation. The numerical simulation was carried out using the finite difference technique.