Analytical expressions for the concentrations of substrate, oxygen and mediator in an amperometric enzyme electrode

K. Indira, L. Rajendran

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The theoretical model of Martens and Hall [N. Martens, E.A.H. Hall, Model for an immobilized oxidase enzyme electrode in the presence of two oxidants, Anal. Chem. 66 (1994) 2763-2770] in an immobilized oxidase enzyme electrodes is discussed. This model contains a non-linear term related to enzyme reaction system. In this paper, we obtain approximate analytical solutions for the non-linear equations under steady-state condition by using the homotopy perturbation method (HPM) and homotopy analysis method (HAM). Simple and approximate polynomial expressions for the concentration of substrate, oxygen, reduced mediator and current were obtained in terms of Thiele moduli and the normalized surface concentrations of species. Furthermore, in this work the numerical simulation of the problem is also reported using Scilab/Matlab program. An agreement between analytical and numerical results is noted.

Original languageEnglish
Pages (from-to)5343-5358
Number of pages16
JournalApplied Mathematical Modelling
Volume37
Issue number7
DOIs
Publication statusPublished - 01-04-2013

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Enzyme electrodes
Mediator
Electrode
Oxygen
Enzymes
Substrate
Substrates
Homotopy Analysis Method
Homotopy Perturbation Method
Oxidants
Nonlinear equations
Theoretical Model
MATLAB
Modulus
Analytical Solution
Nonlinear Equations
Polynomials
Numerical Simulation
Numerical Results
Polynomial

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Modelling and Simulation

Cite this

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Analytical expressions for the concentrations of substrate, oxygen and mediator in an amperometric enzyme electrode. / Indira, K.; Rajendran, L.

In: Applied Mathematical Modelling, Vol. 37, No. 7, 01.04.2013, p. 5343-5358.

Research output: Contribution to journalArticle

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