Author(s)

R. Malini Devi¹, O. M. Kirthiga², L. Rajendran²

¹Department of Mathematics, The Standard Fireworks Rajaratnam College for Women, Sivakasi, India.
²Department of Mathematics, The Madura College, Madurai, India.

In this paper, an approximate analytical method to solve the non-linear differential equations in an immobilized enzyme film is presented. Analytical expressions for concentrations of substrate and product have been derived for all values of dimensionless parameter. Dimensionless numbers that can be used to study the effects of enzyme loading, enzymatic gel thickness, and oxidation/ reduction kinetics at the electrode in biosensor/biofuel cell performance were identified. Using the dimensionless numbers identified in this paper, and the plots representing the effects of these dimensionless numbers on concentrations and current in biosensor/biofuel cell are discussed. Analytical results are compared with simulation results and satisfactory agreement is noted.

Michaelis-Menten Kinetics, Biofuel and Biosensor, Homotopy Perturbation Method, Immobilized Enzyme Systems

Devi, R. , Kirthiga, O. and Rajendran, L. (2015) Analytical Expression for the Concentration of Substrate and Product in Immobilized Enzyme System in Biofuel/Biosensor. Applied Mathematics, 6, 1148-1160. doi: 10.4236/am.2015.67105.