TITLE:
Solution of non-linear boundary value problems in immobilized glucoamylase kinetics
AUTHORS:
Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan Rajendran
KEYWORDS:
Reaction-Diffusion System; Immobilized Enzyme; Adomian Decomposition Method; Homotopy Analysis Method; Boundary Value Problems
JOURNAL NAME:
Natural Science,
Vol.5 No.4,
April
19,
2013
ABSTRACT: A mathematical model
to describe the enzyme reaction, mass transfer and heat effects in the
calorimetric system is discussed. The model is based on non-stationary diffusion
Equation containing a nonlinear term related to immobilize liver esterase by
flow calorimetry. This paper presents the complex numerical methods (Adomian decomposition
method, Homotopy analysis and perturbation method) to solve the non-linear
differential Equations that depict the diffusion coupled with a non-linear
reaction terms. Approximate analytical expressions for substrate
concentration have been derived for all values of parameters α, β and γE. These analytical
results are compared with the available numerical results and are found to be
in good agreement.