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 language | English |
|---|---|
| Pages (from-to) | 5343-5358 |
| Number of pages | 16 |
| Journal | Applied Mathematical Modelling |
| Volume | 37 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 01-04-2013 |
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All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Modelling and Simulation
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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 journal › Article
TY - JOUR
T1 - Analytical expressions for the concentrations of substrate, oxygen and mediator in an amperometric enzyme electrode
AU - Indira, K.
AU - Rajendran, L.
PY - 2013/4/1
Y1 - 2013/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84872611581&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84872611581&partnerID=8YFLogxK
U2 - 10.1016/j.apm.2012.10.021
DO - 10.1016/j.apm.2012.10.021
M3 - Article
VL - 37
SP - 5343
EP - 5358
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
SN - 0307-904X
IS - 7
ER -