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.

Highlights

  • Biosensors are analytical devices converting a biochemical recognition reaction into a measurable effect [1, 2]

  • Peculiarities of the biosensor action has been investigated at different values of the model parameters

  • In the cases when CM electrode (CME) acts under limitation of the enzyme-mediator interaction, the biosensor sensitivity BS practically does not depend on the diffusion modulus

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Summary

Introduction

Biosensors are analytical devices converting a biochemical recognition reaction into a measurable effect [1, 2]. A large part of commercially available and disposable biosensors is prepared by screen-printing technology [1, 6,7,8] They usually contain chemically modified (CM) graphite together with an enzyme [9–. Mathematical modelling has been successfully applied for specific sensors based on CME [6, 27,28,29,30,31] The goal of this investigation was to make a model allowing an effective computer simulation of amperometric biosensors based on CME as well as to investigate the influence of the physical and kinetic parameters on the biosensor response. By changing input parameters the output results were numerically analyzed at transition and steady state conditions

Mathematical Model
Governing Equations
Initial Conditions
Boundary Conditions
Biosensor Response
Numerical Solution
Model Validation
Dimensionless Model
The Dynamics of the Biosensor Action
The Impact of the Diffusion Modulus
The Impact of the Thickness of the External Diffusion Layer
The Impact of the Outer Substrate Concentration
Conclusions
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