• NEW APPROACH OF HOMOTOPY PERTURBATION METHOD TO SOLVE THE NON-LINEAR EQUATION IN BIOSENSOR

K. P. V. PREETHI, J. VISUVASAM, T. ISHWARYA, L. RAJENDRAN*

Abstract


Theoretical models of diagnostic biosensors system at two basic types of enzyme kinetics is discussed in the presence of diffusion. The models are based on non stationary diffusion equation containing a non linear term related to Michaelis-Menten and ping-pong kinetics. 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 values of kinetics parameters. The numerical solution of the problem is also reported here by using Scilab program. Good agreement between analytical and simulation results is noted.


Keywords


Biosensor, Enzyme kinetic, Non-linear equations, Reaction/diffusion equation, New Homotopy perturbation method.

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