Access the full text.
Sign up today, get DeepDyve free for 14 days.
B. Horrocks (2000)
Advances in Electrochemical Science and EngineeringElectrochimica Acta, 46
G. Hariharan, K. Kannan (2011)
A comparative study of Haar Wavelet Method and Homotopy Perturbation Method for solving one-dimensional Reaction-Diffusion EquationsInternational Journal of Applied Mathematics and Computation, 3
M. Lyons, J. Greer, C. Fitzgerald, T. Bannon, P. Barlett (1996)
Reaction/diffusion with Michaelis–Menten kinetics in electroactive polymer films. Part 1. The steady-state amperometric responseAnalyst, 121
M. Lyons (1990)
Chapter 5. Electrochemistry. Novel interfaces and macromolecular electroactive systems, 87
G. Rahamathunissa, Lakshmanan Rajendran (2008)
Application of He’s variational iteration method in nonlinear boundary value problems in enzyme– substrate reaction diffusion processes: part 1. The steady-state amperometric responseJournal of Mathematical Chemistry, 44
(1990)
Biosens Bioelectron
R. Alkire, H. Gerischer, D. Kolb, C. Tobias (1990)
Advances in electrochemical science and engineering
(2012)
Numerical solution of the nonlinear Fredholm integro differential equation of second kind using Chebyshev wavelets
L. Mell, J. Maloy (1976)
Amperometric response enhancement of the immobilized glucose oxidase enzyme electrode.Analytical chemistry, 48 11
S. Wring, J. Hart (1992)
Chemically modified, carbon-based electrodes and their application as electrochemical sensors for the analysis of biologically important compounds. A reviewAnalyst, 117
R. Linford (1987)
Electrochemical science and technology of polymers
R. Baronas, J. Kulys, Karolis Petrauskas, J. Razumiene (2011)
Modelling carbon nanotube based biosensorJournal of Mathematical Chemistry, 49
G. Hariharan (2013)
Wavelet Method for a Class of Fractional Klein-Gordon EquationsJournal of Computational and Nonlinear Dynamics, 8
G. Hariharan, V. Ponnusami, R. Srikanth (2012)
Wavelet method to film-pore diffusion model for methylene blue adsorption onto plant leaf powdersJournal of Mathematical Chemistry, 50
W. Albery, A. Cass, Z. Shu (1990)
Inhibited enzyme electrodes. Part 1: Theoretical model.Biosensors & bioelectronics, 5 5
P. Bartlett, P. Birkin, E. Wallace (1997)
Oxidation of β-nicotinamide adenine dinucleotide (NADH) at poly(aniline)-coated electrodesJournal of the Chemical Society, Faraday Transactions, 93
A. Hillman (1987)
Polymer Modified Electrodes: Preparation and Characterisation
H. Haran, K. Kannan (2010)
A comparison of Haar wavelet and Adomain decomposition method for solving one-dimensional reaction-diffusion equationsInternational Journal of Applied Mathematics and Computation, 2
R. Martin, M. Pierre (1992)
Nonlinear Reaction-Diffusion SystemsMathematics in science and engineering, 185
Leland Clark, C. Lyons (1962)
ELECTRODE SYSTEMS FOR CONTINUOUS MONITORING IN CARDIOVASCULAR SURGERYAnnals of the New York Academy of Sciences, 102
R. Baronas, F. Ivanauskas, J. Kulys, M. Sapagovas (2003)
Modelling of Amperometric Biosensors with Rough Surface of the Enzyme MembraneJournal of Mathematical Chemistry, 34
G. Evans (1990)
The Electrochemistry of Conducting Polymers
G. Hariharan, K. Kannan, K. Sharma (2009)
Haar wavelet method for solving Fisher's equationAppl. Math. Comput., 211
A. Bhrawy, A. Bhrawy, A. Alofi (2013)
The operational matrix of fractional integration for shifted Chebyshev polynomialsAppl. Math. Lett., 26
The mathematical model of Rahamathunissa and Rajendran (J Math Chem 44:849–861, 2008) in an amperometric biosensor response is discussed. In this paper, we have applied the shifted second kind Chebyshev wavelets (CW) to obtain the numerical solutions of reaction–diffusion equations containing a nonlinear term related to Michaelis–Menton kinetics of the enzymatic reaction. The application of the shifted second kind CW operational matrices for solving initial and boundary value problems is presented. The obtained numerical results demonstrate efficient and applicability of the proposed method. The power of the manageable method is confirmed. Moreover the use of shifted second kind CW method is found to be simple, efficient, accurate, small computation cost, and computationally attractive.
The Journal of Membrane Biology – Springer Journals
Published: Jan 21, 2014
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.