(1) Dept. Mathematics & Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania;(2) Dept. Chemistry & Bioengineering, Vilnius Gediminas Technical University, Sauletekio Ave. 11, LT-10223 Vilnius, Lithuania;
Abstract:
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.