Abstract

In this paper, an approximate analytical method to solve the non-linear differential equations in an immobilized enzyme film is presented. Analytical expressions for concentrations of substrate and product have been derived for all values of dimensionless parameter. Dimensionless numbers that can be used to study the effects of enzyme loading, enzymatic gel thickness, and oxidation/ reduction kinetics at the electrode in biosensor/biofuel cell performance were identified. Using the dimensionless numbers identified in this paper, and the plots representing the effects of these dimensionless numbers on concentrations and current in biosensor/biofuel cell are discussed. Analytical results are compared with simulation results and satisfactory agreement is noted.

Highlights

  • Biosensors and biofuel cells are commonly used for industrial, environmental and medical applications

  • There are no clear guidelines for the design of electrochemical biosensors or biofuel cells employing immobilized enzymes that will produce a targeted linear range, limit of detection and sensitivity

  • The result of the Equations (2)-(3) in immobilized enzyme system is relevant because its solution describes important applications such as biosensors, bioreactors, and biofuel cells, among others

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Summary

Introduction

Biosensors and biofuel cells are commonly used for industrial, environmental and medical applications. There are no clear guidelines for the design of electrochemical biosensors or biofuel cells employing immobilized enzymes that will produce a targeted linear range, limit of detection and sensitivity. Such guidelines can be provided using analytical simulation tools that assess sensor feasibility prior to extensive development. Electrochemical biosensors and biofuel cell especially desirable for use in field applications because of their compact design, ease of manufacture, real time response, sensitivity and selectivity [3]-[6] They are used in many applications ranging from glucose detection to detection of neurotoxic agents [1] [6] [7]. The result of the Equations (2)-(3) in immobilized enzyme system is relevant because its solution describes important applications such as biosensors, bioreactors, and biofuel cells, among others

Mathematical Formulation of the Problem
Discussion
Estimation of Kinetic Parameters
Conclusion
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