Wavelet method for steady state immobilized enzyme kinetic model: an operational matrix approach. (English) Zbl 1471.92138

Hariharan, G.; Padma, S.

J. Math. Chem. 59, No. 9, 1994-2008 (2021).

Summary: This paper discusses a mathematical model of the diffusion and reaction in amperometric biosensor response with immobilized enzyme electrodes within a uniform film. This model contains a nonlinear differential equation related to Michaelis-Menten kinetics. In this paper, shifted Legendre wavelet method (SLWM) has been applied to obtain the mediator and substrate concentrations. The efficiency of the method is confirmed by means of the computational run time. The obtained approximate solutions are compared with the available results. Satisfactory agreement with homotopy perturbation method (HPM) and relaxation method (RM) is observed. Moreover, the shifted Legendre wavelet method is found to be simple, efficient and computationally attractive.

MSC:

92C45	Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
92C47	Biosensors (not for medical applications)

Keywords:

amperometric enzyme electrodes; Michaelis-Menten kinetics; shifted Legendre wavelet method; homotopy perturbation method (HPM)

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