Author(s)

Seyed Ali Madani Tonekaboni, Ali Shahbazi Mastan Abad, Amin Afshari, Ali Khalilzadeh, Shahab Karimi, Mitra Shabanisamghabady

School of Mechanical Engineering, University of Tehran, Tehran, Iran.
School of Mechanical Engineering, University of Waterloo, Waterloo, Canada.

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 concluded that the obtained solution can be considered as a promising one to investigate different aspects of the phenomena.

Homotopy Analysis Method; Amperometric Biosensor; Mathematical Modeling; Non-Michaelis-Menten Kinetics

Tonekaboni, S. , Abad, A. , Afshari, A. , Khalilzadeh, A. , Karimi, S. and Shabanisamghabady, M. (2013) Analytical Solution of Substrate Concentration in the Biosensor Response. Applied Mathematics, 4, 1603-1608. doi: 10.4236/am.2013.412217.