Modelling carbon nanotube based biosensor.

Baronas, Romas; Kulys, Juozas; Petrauskas, Karolis; Razumiene, Julija

This paper presents a two-dimensional-in-space mathematical model of an amperometric biosensor based on an enzyme-loaded carbon nanotubes layer deposited on a perforated membrane. The developed model is based on non-linear non-stationary reaction-diffusion equations. By changing input parameters the output results are numerically analysed with a special emphasis to the influence of the geometry and the catalytic activity of the biosensor to its response. The numerical simulation at transition and steady state conditions was carried out using the finite difference technique. The mathematical model and the numerical solution were validated by experimental data. The obtained agreement between the simulation results and experimental data was admissible at different concentrations of the substrate and the mediator.

BIOSENSORS; CARBON nanotubes; MATHEMATICAL models; CONDUCTOMETRIC analysis; ENZYMES; REACTION-diffusion equations; NUMERICAL analysis; CATALYSIS

Journal of Mathematical Chemistry, 2011, Vol 49, Issue 5, p995

0259-9791

Academic Journal

10.1007/s10910-010-9791-2