Author(s)

Kurunatha Perumal Thevar Preethi^1*, Velmurgan Meena², Rajaram Poovazhaki^1*

¹Department of Mathematics, E.M.G. Yadava Women’s College, Madurai, India.
¹Department of Mathematics, Madurai Kamaraj University Constitutional College, Madurai, India.
²Department of Mathematics, Madurai Kamaraj University Constitutional College, Madurai, India.

A mathematical modelling of diagnostic biosensors system at three basic types of enzyme kinetics is discussed in the presence of diffusion. Enzyme kinetics is adopted to be first order, Michaelis-Menten and ping-pong mechanism. In this paper, approximate analytical solutions are obtained for the non-linear equations under steady-state conditions by using the new Homotopy perturbation method. Simple and closed forms of analytical expressions for concentrations of substrate, product and co-substrate and corresponding current response have been derived for all possible values of parameters. Furthermore, the numerical simulation of the problem is also reported here by using Matlab program. Good agreement between analytical and numerical results is noted.

Diagnostic Biosensor, Bio Fuel, Enzyme, Kinetic, Non Linear Equations, Reaction/Diffusion Equation, Homotopy Perturbation Method

Preethi, K. , Meena, V. and Poovazhaki, R. (2017) Reliable Method for Steady-State Concentrations and Current over the Diagnostic Biosensor Transducers. American Journal of Analytical Chemistry, 8, 493-513. doi: 10.4236/ajac.2017.87036.