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S. J. Liao, “The Proposed Homotopy Analysis Technique for the Solution of Nonlinear Problems,” PhD Thesis, Shanghai Jiao Tong University, 1992.

has been cited by the following article:

• TITLE: New Solution of Substrate Concentration in the Biosensor Response by Discrete Homotopy Analysis Method

  AUTHORS: Seyyed Ali Madani Tonekaboni, Ali Shahbazi Mastan Abad, Shahab Karimi, Mitra Shabani

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

  JOURNAL NAME: World Journal of Engineering and Technology, Vol.1 No.3, September 6, 2013

  ABSTRACT: In this article, Discrete Homotopy Analysis Method (DHAM), as a new numerical method, 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 are obtained for different values of the dimensionless parameters described in the paper. The presented solution is then compared with the available actual and simulated results.