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

K. Venugopal, A. Eswari, L. Rajendran
2011 Journal of Biomedical Science and Engineering  
A Mathemataical model for a modified microcylinder 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
more » ... ffusion 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.
doi:10.4236/jbise.2011.49079 fatcat:dciaa6a2ozhvfcyhiyjbznzceq