title: Modelling Amperometric Biosensors Based on Chemically Modified Electrodes.
abstract: The response of an amperometric biosensor based on a chemically modified electrode was modelled numerically. A mathematical model of the biosensor is based on a system of non-linear reaction-diffusion equations. The modelling biosensor comprises two compartments: an enzyme layer and an outer diffusion layer. In order to define the main governing parameters the corresponding dimensionless mathematical model was derived. The digital simulation was carried out using the finite difference technique. The adequacy of the model was evaluated using analytical solutions known for very specific cases of the model parameters. By changing model parameters the output results were numerically analyzed at transition and steady state conditions. The influence of the substrate and mediator concentrations as well as of the thicknesses of the enzyme and diffusion layers on the biosensor response was investigated. Calculations showed complex kinetics of the biosensor response, especially when the biosensor acts under a mixed limitation of the diffusion and the enzyme interaction with the substrate.
authors.affiliation: Department of Software Engineering, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania. romas.baronas@mif.vu.lt.|Institute of Mathematics and Informatics, Akademijos 4, LT-08663 Vilnius, Lithuania. romas.baronas@mif.vu.lt.
authors.forename: Romas
authors.initials: R
authors.lastname: Baronas
authors.affiliation: Department of Chemistry and Bioengineering, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania. juozas.kulys@fm.vgtu.lt.
authors.forename: Juozas
authors.initials: J
authors.lastname: Kulys
keywords: biosensor; chemically modified electrode; modelling; simulation.