TITLE:
Mathematical model for steady state current at ppo-modified micro-cylinder biosensors
AUTHORS:
K. Venugopal, A. Eswari, L. Rajendran
KEYWORDS:
Non-Linear Reaction/Diffusion Equation; Biosensors; Polymer- Modified Micro-Cylinder
Electrode; Polyphenol Oxidase; Homotopy Perturbation Method
JOURNAL NAME:
Journal of Biomedical Science and Engineering,
Vol.4 No.9,
September
30,
2011
ABSTRACT: A Mathemataical model for a modified micro-
cylinder electrode in which polyphenol oxidase ( PPO) occurs for all values of the concentration of catechol and o-quinone is analysed. This model is based on system of reaction-diffusion Equations containing a non-linear term related to Michaelis Menten kinetics of the enzymatic reaction. Here a new analytical technique Homotopy Perturbation Method is used to solve the system of non-linear differential Equations that describe the diffusion coupled with a Michaelis-Menten kinetics law. Here we report an analytical expressions pretaining to the concentration of catechol and o-quinone and corresponding current in terms of dimensionless reaction-diffusion parameters in closed form. An excellent agreement with available limiting case is noticed.