Modelling amperometric enzyme electrode with substrate cyclic conversion.

Biosens Bioelectron

Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 2600 Vilnius, Lithuania.

Published: March 2004

AI Article Synopsis

  • A mathematical model for amperometric enzyme electrodes was created, focusing on chemical amplification via cyclic substrate conversion in a single enzyme membrane.
  • It utilizes non-stationary diffusion equations and incorporates a non-linear term based on Michaelis-Menten kinetics for the enzymatic reaction.
  • Digital simulations revealed that varying substrate concentration, maximum enzymatic rate, and membrane thickness greatly influence biosensor responsiveness, showing a substantial increase in sensitivity at low substrate concentrations when diffusion controls the response.

Article 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.

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http://dx.doi.org/10.1016/j.bios.2003.08.022DOI Listing

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