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T. Schulmeister and D. Pfeiffer, “Mathematical Modeling of Amperometric Enzyme Electrodes with Perforated Membranes,” Biosensors and Bioelectronics, Vol. 8, No. 2, 1993, pp. 75-79. doi:10.1016/0956-5663(93)80055-T

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.