Theoretical Analysis of an Amperometric Biosensor Based on Parallel Substrates Conversion

T Praveen,L Rajendran

doi:10.1155/2014/816789

Abstract

The behaviour of an amperometric biosensor based on parallel substrates conversion for steady-state condition has been discussed. This analysis contains a nonlinear term related to enzyme kinetics. Simple and closed form of analytical expressions of concentrations and of biosensor current is derived. This model was originally reported by Vytautas Aseris and his team (2012). Concentrations of substrate and product are expressed in terms of single dimensionless parameter. A new approach to Homotopy perturbation method (HPM) is employed to solve the system of nonlinear reaction diffusion equations. Furthermore, in this work, the numerical solution of the problem is also reported using Matlab program. The analytical results are compared with the numerical results. The analytical result provided is reliable and efficient to understand the behavior of the system.

Highlights

A biosensor is an analytical device, used for the detection of an analyte, which combines a biological component with a physiochemical detector [1]
We present the simple and closed form of the analytical expressions for the concentrations of substrate and of product using new Homotopy perturbation method (HPM) [28]
The kinetic response of a biosensor depends on the concentration species

Summary

Introduction

A biosensor is an analytical device, used for the detection of an analyte, which combines a biological component with a physiochemical detector [1]. The mathematical modeling is rather widely used to improve the efficiency of the biosensors design and to optimize their configuration [5,6,7,8]. Nonlinear mathematical models have been developed for amperometric two-enzyme biosensors with different enzymes [17, 18]. The numerical method of solving partial differential equations is to make calculation at all intervals of substrates concentration and at different diffusion and enzymatic reaction rates. To the best of our knowledge, there is no simple analytical expression for steady-state concentrations and current of amperometric-based biosensor utilizing parallel substrates conversion for all values of parameters. We present the simple and closed form of the analytical expressions for the concentrations of substrate and of product using new Homotopy perturbation method (HPM) [28]. The current density was determined corresponding to all possible values of the parameters

Mathematical Formulation of the Problem and Analysis

A New Approach to Homotopy Perturbation Method and Its Advantages

Discussion

Conclusion