Author(s)

Jeganathan Saranya¹, Lakshmanan Rajendran^2*, Mariappan Uma Maheswari³

¹Department of Mathematics, Mother Teresa Women’s University, Kodaikanal, India.
²Department of Mathematics, Sethu Institute of Technology, Kariapatti, India.
³Department of Mathematics, Kamaraj College of Engineering and Technology, Virudhunagar, India.

A theoretical model for the non steady-state response of a pH-based potentiometric biosensor immobilizing organophosphorus hydrolase (OPH) is discussed. The model is based on a system of five coupled nonlinear reaction-diffusion equations under non steady-state conditions for enzyme reactions occurring in potentiometric biosensor that describes the concentration of substrate and hydrolysis products within the membrane. New approximate analytical expressions for the concentration of the substrate (organophosphorus pesticides (OPs)) and products are derived for all values of Thiele modulus and buffer concentration using new approach of homotopy perturbation method. The analytical results are also compared with numerical ones and a good agreement is obtained. The obtained results are valid for the whole solution domain.

Mathematical Modeling, Reaction-Diffusion, pH-Based Potentiometric Biosensor, Asymptotic Methods, New Homotopy Perturbation Method

Saranya, J. , Rajendran, L. and Maheswari, M. (2016) A Theoretical Model of pH-Based Potentiometric Biosensor Based on Immobilized Enzyme Membrane. American Journal of Analytical Chemistry, 7, 363-377. doi: 10.4236/ajac.2016.74035.