title: Modelling carbon nanotubes-based mediatorless biosensor.
abstract: This paper presents a mathematical model of carbon nanotubes-based mediatorless biosensor. The developed model is based on nonlinear non-stationary reaction-diffusion equations. The model involves four layers (compartments): a layer of enzyme solution entrapped on a terylene membrane, a layer of the single walled carbon nanotubes deposited on a perforated membrane, and an outer diffusion layer. The biosensor response and sensitivity are investigated by changing the model parameters with a special emphasis on the mediatorless transfer of the electrons in the layer of the enzyme-loaded carbon nanotubes. The numerical simulation at transient 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 the experimental data was admissible at different concentrations of the substrate.
authors.affiliation: Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania. romas.baronas@mif.vu.lt
authors.forename: Romas
authors.initials: R
authors.lastname: Baronas
authors.forename: Juozas
authors.initials: J
authors.lastname: Kulys
authors.forename: Karolis
authors.initials: K
authors.lastname: Petrauskas
authors.forename: Julija
authors.initials: J
authors.lastname: Razumiene
mesh_terms: D015374:Biosensing Techniques; D020134:Catalytic Domain; D003198:Computer Simulation; D004058:Diffusion; D004798:Enzymes / Q000737:chemistry / Q000378:metabolism; D007700:Kinetics; D037742:Nanotubes, Carbon / Q000737:chemistry*
chemical_list: D004798:Enzymes; D037742:Nanotubes, Carbon