Abstract

This paper presents a mathematical model of carbon nanotubes-based mediatorless biosensor. The developed model is based on nonlinear non-stationary reaction-diffusion equations. The model involves four layers (compartments): a layer of enzyme solution entrapped on a terylene membrane, a layer of the single walled carbon nanotubes deposited on a perforated membrane, and an outer diffusion layer. The biosensor response and sensitivity are investigated by changing the model parameters with a special emphasis on the mediatorless transfer of the electrons in the layer of the enzyme-loaded carbon nanotubes. The numerical simulation at transient and steady state conditions was carried out using the finite difference technique. The mathematical model and the numerical solution were validated by experimental data. The obtained agreement between the simulation results and the experimental data was admissible at different concentrations of the substrate.

Highlights

  • Biosensors are devices mainly used to measure concentrations of substances [1,2]

  • The mathematical model for the mediated biosensor with the carbon nanotubes (CNT) electrode deposited on the perforated membrane was proposed recently [31]

  • This paper presents a mathematical model of the mediatorless amperometric biosensor based on the enzyme-loaded CNT electrode deposited on the outer perforated membrane

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Summary

Introduction

Biosensors are devices mainly used to measure concentrations of substances (analytes) [1,2]. One of the main obstacles in the development of the mediatorless biosensors is that only few enzymes can support the direct electron transfer [14]. Since the discovery of carbon nanotubes [15] they have been used in various applications Due to their unique structural and electric properties, carbon nanotubes (CNT) have been used to build highly sensitive biosensors [16,17,18]. The mathematical model for the mediated biosensor with the CNT electrode deposited on the perforated membrane was proposed recently [31]. This paper presents a mathematical model of the mediatorless amperometric biosensor based on the enzyme-loaded CNT electrode deposited on the outer perforated membrane.

Principal Structure of the Biosensor
Mathematical Model
Governing Equations
Boundary Conditions
Initial Conditions
Biosensor Response and Sensitivity
Effective Diffusion Coefficients
Digital Simulation
Simulation Technique
Experimental Validation
Results and Discussion
Impact of Enzyme Concentration
Impact of Electrochemical Reaction Rate
Conclusions
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