TITLE:
Analytical Solution of Substrate Concentration in the Biosensor Response
AUTHORS:
Seyed Ali Madani Tonekaboni, Ali Shahbazi Mastan Abad, Amin Afshari, Ali Khalilzadeh, Shahab Karimi, Mitra Shabanisamghabady
KEYWORDS:
Homotopy Analysis Method; Amperometric Biosensor; Mathematical Modeling; Non-Michaelis-Menten Kinetics
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.12,
November
8,
2013
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 concluded that the
obtained solution can be considered as a promising one to investigate different
aspects of the phenomena.