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Ghasemi, M., Kajani, T.M. and Babolian, E. (2007) Numerical Solutions of the Nonlinear Volterra-Fredholm Integral Equations by Using Homotopy Perturbation Method. Applied Mathematics and Computation, 188, 446-449.
http://dx.doi.org/10.1016/j.amc.2006.10.015

has been cited by the following article:

• TITLE: Analytical Expression for the Concentration of Substrate and Product in Immobilized Enzyme System in Biofuel/Biosensor

  AUTHORS: R. Malini Devi, O. M. Kirthiga, L. Rajendran

  KEYWORDS: Michaelis-Menten Kinetics, Biofuel and Biosensor, Homotopy Perturbation Method, Immobilized Enzyme Systems

  JOURNAL NAME: Applied Mathematics, Vol.6 No.7, June 23, 2015

  ABSTRACT: In this paper, an approximate analytical method to solve the non-linear differential equations in an immobilized enzyme film is presented. Analytical expressions for concentrations of substrate and product have been derived for all values of dimensionless parameter. Dimensionless numbers that can be used to study the effects of enzyme loading, enzymatic gel thickness, and oxidation/ reduction kinetics at the electrode in biosensor/biofuel cell performance were identified. Using the dimensionless numbers identified in this paper, and the plots representing the effects of these dimensionless numbers on concentrations and current in biosensor/biofuel cell are discussed. Analytical results are compared with simulation results and satisfactory agreement is noted.