# Wavelet-Based Analytical Algorithm for Solving Steady-State Concentration in Immobilized Glucose Isomerase of Packed-Bed Reactor Model

Wavelet-Based Analytical Algorithm for Solving Steady-State Concentration in Immobilized Glucose... Wavelet method is a recently developed tool in applied mathematics. The mathematical model of the steady-state immobilized enzyme electrodes is discussed. This theoretical model is based on one-dimensional heat conduction equations containing a non-linear term related to Michaelis–Menten kinetics. An efficient Chebyshev wavelet-based technique is applied to solve the non-linear diffusion equation for the steady-state condition. A simple expression of the substrate concentration is obtained as a function of the Thiele modulus $$(\phi _\mathrm{p})$$ ( ϕ p ) and $$\beta$$ β (kinetic parameter). The wavelet results are compared with the numerical and HPM solutions and found to be in good agreement. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Membrane Biology Springer Journals

# Wavelet-Based Analytical Algorithm for Solving Steady-State Concentration in Immobilized Glucose Isomerase of Packed-Bed Reactor Model

, Volume 249 (4) – May 9, 2016
10 pages

Publisher
Springer US
Subject
Life Sciences; Biochemistry, general; Human Physiology
ISSN
0022-2631
eISSN
1432-1424
D.O.I.
10.1007/s00232-016-9905-2
Publisher site
See Article on Publisher Site

### Abstract

Wavelet method is a recently developed tool in applied mathematics. The mathematical model of the steady-state immobilized enzyme electrodes is discussed. This theoretical model is based on one-dimensional heat conduction equations containing a non-linear term related to Michaelis–Menten kinetics. An efficient Chebyshev wavelet-based technique is applied to solve the non-linear diffusion equation for the steady-state condition. A simple expression of the substrate concentration is obtained as a function of the Thiele modulus $$(\phi _\mathrm{p})$$ ( ϕ p ) and $$\beta$$ β (kinetic parameter). The wavelet results are compared with the numerical and HPM solutions and found to be in good agreement.

### Journal

The Journal of Membrane BiologySpringer Journals

Published: May 9, 2016

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