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A. Majid Wazwaz and A. Gorguis, “An Analytic Study of Fisher’s Equation by Using Adomian Decomposition Method,” Applied Mathematics and Computation, Vol. 154, No. 3, 2004, pp. 609-620. doi:10.1016/S0096-3003(03)00738-0

has been cited by the following article:

• TITLE: Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method

  AUTHORS: Anandan Anitha, Shunmugham Loghambal, Lakshmanan Rajendran

  KEYWORDS: Mathematical Modeling; Non-Linear Equation; Adomian Decomposition Method; AmperometricBiosensor; Reaction-Diffusion System; Substrate Inhibition

  JOURNAL NAME: American Journal of Analytical Chemistry, Vol.3 No.8, August 27, 2012

  ABSTRACT: A mathematical model of an amperometric biosensor with the substrate inhibition for steady-state condition is discussed. The model is based on the system of non-stationary diffusion equation containing a non-linear term related to non-Michaelis–Menten kinetics of the enzymatic reaction. This paper presents the analytical expression of concentrations and current for all values of parameters φ2s φ2s α and β . Here the Adomian decomposition method (ADM) is used to find the analytical expressions for substrate, product concentration and current. A comparison of the analytical approximation and numerical simulation is also presented. A good agreement between theoretical predictions and numerical results is observed.