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Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method
Department of Mathematics, The Madura College (Autonomous), Madurai-625011, Tamil Nadu, India
Department of Mathematics, The Madura College (Autonomous), Madurai-625011, Tamil Nadu, India
Department of Mathematics, The Madura College (Autonomous), Madurai-625011, Tamil Nadu, India
- 1 Department of Mathematics, The Madura College (Autonomous), Madurai-625011, Tamil Nadu, India
- 2 Department of Mathematics, The Madura College (Autonomous), Madurai-625011, Tamil Nadu, India
- 3 Department of Mathematics, The Madura College (Autonomous), Madurai-625011, Tamil Nadu, India
American Journal of Analytical Chemistry·Volume 03 (2012)·Pages 495–502·Published 22 August 2012·DOI10.4236/ajac.2012.38066
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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 φ 2 s φ 2 s 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.
KeywordsMathematical ModelingNon-Linear EquationAdomian Decomposition MethodAmperometricBiosensorReaction-Diffusion SystemSubstrate Inhibition
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