Abstract
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.
Highlights
A potentiometric biosensor is a type of chemical sensor that may be used to find the concentration of some components of the analyte
How to cite this paper: Saranya, J., Rajendran, L. and Maheswari, M.U. (2016) A Theoretical Model of pH-Based Potentiometric Biosensor Based on Immobilized Enzyme Membrane
The theoretical modeling of biosensors involves solving the system of linear/non-linear reaction-diffusion equations for substrate and product with a term containing a rate of biocatalytical transformation of substrate
Summary
A potentiometric biosensor is a type of chemical sensor that may be used to find the concentration of some components of the analyte. Meena and Rajendran (2010) discussed a theoretical model of a pH-based potentiometric biosensor immobilizing organophosphorus hydrolase (OPH) for steady state conditions [4]. Eswari and Rajendran [9] derived the concentration profile of the product of the enzyme reaction and the electrode current for all values of Michalis-Menten constant using the Homotopy perturbation method. No general analytical expressions of the concentrations of the substrate, hydrolysis products, added external buffer and hydrogen ions have been reported for all values of parameters The purpose of this communication is to derive an analytical expression of non-steady state concentrations of OPs and the deprotonation products for all values of reaction parameter using new homotopy perturbation method
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