title: Modelling amperometric enzyme electrode with substrate cyclic conversion.
abstract: A mathematical model of amperometric enzyme electrodes in which chemical amplification by cyclic substrate conversion takes place in a single enzyme membrane has been developed. The model is based on non-stationary diffusion equations containing a non-linear term related to Michaelis-Menten kinetic of the enzymatic reaction. The digital simulation was carried out using the finite difference technique. The influence of the substrate concentration, the maximal enzymatic rate as well as the membrane thickness on the biosensor response was investigated. The numerical experiments demonstrate significant (up to dozens of times) gain in biosensor sensitivity at low concentrations of substrate when the biosensor response is under diffusion control.
authors.affiliation: Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 2600 Vilnius, Lithuania. romas.baronas@maf.vu.lt
authors.forename: Romas
authors.initials: R
authors.lastname: Baronas
authors.forename: Juozas
authors.initials: J
authors.lastname: Kulys
authors.forename: Feliksas C
authors.initials: FC
authors.lastname: Ivanauskas
mesh_terms: D015374:Biosensing Techniques / Q000295:instrumentation* / Q000379:methods*; D003198:Computer Simulation; D017076:Computer-Aided Design; D004563:Electrochemistry / Q000295:instrumentation* / Q000379:methods*; D004798:Enzymes / Q000737:chemistry*; D004800:Enzymes, Immobilized; D004867:Equipment Design; D019544:Equipment Failure Analysis / Q000379:methods*; D007700:Kinetics; D008956:Models, Chemical; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013379:Substrate Specificity
chemical_list: D004798:Enzymes; D004800:Enzymes, Immobilized