Journal of Mathematical Chemistry

, Volume 34, Issue 3–4, pp 227–242 | Cite as

Modelling of Amperometric Biosensors with Rough Surface of the Enzyme Membrane

  • R. Baronas
  • F. Ivanauskas
  • J. Kulys
  • M. Sapagovas


A two-dimensional-in-space mathematical model of amperometric biosensors has been developed. The model is based on the diffusion equations containing a nonlinear term related to the Michaelis–Menten kinetic of the enzymatic reaction. The model takes into consideration two types of roughness of the upper surface (bulk solution/membrane interface) of the enzyme membrane, immobilised onto an electrode. Using digital simulation, the influence of the geometry of the roughness on the biosensor response was investigated. Digital simulation was carried out using the finite-difference technique.

reaction–diffusion modelling biosensor rough surface 


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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • R. Baronas
    • 1
  • F. Ivanauskas
    • 1
  • J. Kulys
    • 2
  • M. Sapagovas
    • 3
  1. 1.Faculty of Mathematics and InformaticsVilnius UniversityVilniusLithuania
  2. 2.Institute of BiochemistryVilniusLithuania
  3. 3.Institute of Mathematics and InformaticsVilniusLithuania

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