Mathematical model for steady state current at ppo-modified micro-cylinder biosensors

K. Venugopal, A. Eswari, L. Rajendran

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DOI: 10.4236/jbise.2011.49079                

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.

Keywords

Non-Linear Reaction/Diffusion Equation; Biosensors; Polymer- Modified Micro-Cylinder Electrode; Polyphenol Oxidase; Homotopy Perturbation Method

Conflicts of Interest

The authors declare no conflicts of interest.

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