Analytical solution of steady state current at a microdisk biosensor

被引:19
作者
Eswari, A. [1 ]
Rajendran, L. [1 ]
机构
[1] Madura Coll, Dept Math, Madurai 625011, Tamil Nadu, India
关键词
Amperometry; Microdisk biosensors; Michaelis-Menten kinetics; Mathematical modeling; Enzyme electrode; HOMOTOPY PERTURBATION METHOD; ELECTRODES;
D O I
10.1016/j.jelechem.2010.01.015
中图分类号
O65 [分析化学];
学科分类号
070302 ; 081704 ;
摘要
The steady state concentration and current occurring at a microdisk enzyme electrode when a product from an immobilized enzyme reacts with the electrode is derived. A closed form of an analytical expression of concentration for the full range of enzyme activities has been derived. A simple approximate analytical expression of current in terms of all dimensionless parameters for film thickness r(1)/r(0) and enzyme kinetic chi r(0) for all values of Michaelis-Menten constant is also reported. Available limiting case results are compared with our results and are found to be in good agreement. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:35 / 44
页数:10
相关论文
共 29 条
[1]  
Amatore C., 2006, Nonlinear Analysis Modelling and Control, V11, P345
[2]   Equivalence between microelectrodes of different shapes: Between myth and reality [J].
Amatore, C ;
Fosset, B .
ANALYTICAL CHEMISTRY, 1996, 68 (24) :4377-4388
[3]   SCANNING ELECTROCHEMICAL MICROSCOPY .12. THEORY AND EXPERIMENT OF THE FEEDBACK MODE WITH FINITE HETEROGENEOUS ELECTRON-TRANSFER KINETICS AND ARBITRARY SUBSTRATE SIZE [J].
BARD, AJ ;
MIRKIN, MV ;
UNWIN, PR ;
WIPF, DO .
JOURNAL OF PHYSICAL CHEMISTRY, 1992, 96 (04) :1861-1868
[4]   Computational modelling of biosensors with perforated and selective membranes [J].
Baronas, R ;
Kulys, J ;
Ivanauskas, F .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2006, 39 (02) :345-362
[5]  
Baronas R, 2007, 21ST EUROPEAN CONFERENCE ON MODELLING AND SIMULATION ECMS 2007, P214, DOI 10.7148/2007-0214
[6]  
Basha CA, 2006, INT J ELECTROCHEM SC, V1, P268
[7]   Scanning electrochemical microscopy .33. Application to the study of ECE/DISP reactions [J].
Demaille, C ;
Unwin, PR ;
Bard, AJ .
JOURNAL OF PHYSICAL CHEMISTRY, 1996, 100 (33) :14137-14143
[8]   ELECTROCATALYSIS AT A MICRODISK ELECTRODE MODIFIED WITH A REDOX SPECIES [J].
DONG, SJ ;
CHE, GL .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1991, 309 (1-2) :103-114
[9]  
Fleischmann M., 1987, Ultramicroelectrodes
[10]   Modelling the steady-state current at the inlaid disc microelectrode for homogeneous mediated enzyme catalysed reactions [J].
Galceran, J ;
Taylor, SL ;
Bartlett, PN .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 2001, 506 (02) :65-81