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Analytical Solution of Substrate Concentration in the Biosensor Response
School of Mechanical Engineering, University of Waterloo, Waterloo, Canada
School of Mechanical Engineering, University of Tehran, Tehran, Iran
School of Mechanical Engineering, University of Tehran, Tehran, Iran
School of Mechanical Engineering, University of Tehran, Tehran, Iran
School of Mechanical Engineering, University of Tehran, Tehran, Iran
School of Mechanical Engineering, University of Tehran, Tehran, Iran
- 1 School of Mechanical Engineering, University of Waterloo, Waterloo, Canada
- 2 School of Mechanical Engineering, University of Tehran, Tehran, Iran
- 3 School of Mechanical Engineering, University of Tehran, Tehran, Iran
- 4 School of Mechanical Engineering, University of Tehran, Tehran, Iran
- 5 School of Mechanical Engineering, University of Tehran, Tehran, Iran
- 6 School of Mechanical Engineering, University of Tehran, Tehran, Iran
Applied Mathematics·Volume 04 (2013)·Pages 1603–1608·Published 8 November 2013·DOI10.4236/am.2013.412217
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Abstract
Homotopy analysis method (HAM) is employed to investigate amperometric biosensor at mixed enzyme kinetics and diffusion limitation. Mathematical modeling of the problem is developed utilizing non-Michaelis - Menten kinetics of the enzymatic reaction. Different results of the problem are obtained for different values of the dimensionless parameters. Accuracy of the obtained results is verified by comparing them with the available actual and simulated ones. It is con cluded that the obtained solution can be considered as a promising one to investigate different aspects of the phenom ena.
KeywordsHomotopy Analysis MethodAmperometric BiosensorMathematical ModelingNon-Michaelis-Menten Kinetics
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