Contract grant sponsor: University Grants Commission, New Delhi, India.
Approximate Analytical Expressions for the Steady-State Concentration of Substrate and Cosubstrate over Amperometric Biosensors for Different Enzyme Kinetics
Article first published online: 27 MAR 2013
© 2013 Wiley Periodicals, Inc.
International Journal of Chemical Kinetics
Volume 45, Issue 5, pages 322–336, May 2013
How to Cite
Rasi, M., Indira, K. and Rajendran, L. (2013), Approximate Analytical Expressions for the Steady-State Concentration of Substrate and Cosubstrate over Amperometric Biosensors for Different Enzyme Kinetics. Int. J. Chem. Kinet., 45: 322–336. doi: 10.1002/kin.20768
Contract grant number: 39-58/2010(SR).
- Issue published online: 27 MAR 2013
- Article first published online: 27 MAR 2013
- Manuscript Accepted: 7 NOV 2012
- Manuscript Revised: 31 OCT 2012
- Manuscript Received: 9 MAY 2012
- University Grants Commission, New Delhi, India. Grant Number: 39-58/2010(SR)
Mathematical models of amperometric biosensors at three basic types of enzyme kinetics in nonstationary diffusion conditions are discussed. The models are based on nonstationary diffusion equations containing a linear term related to the first-order and nonlinear term related to the Michaelis–Menten and ping–pong of the enzymatic reaction mechanism. In this paper, we obtain approximate closed-form analytical solutions for the nonlinear equations under steady-state condition by using the homotopy analysis method. Analytical expressions for concentrations of substrate and cosubstrate and corresponding current response have been derived for all possible values of parameters. 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.