• MATHEMATICAL MODEL FOR OLIGOSACCHARIDE HYDROLYSIS: HOMOTOPY ANALYSIS METHOD

Abstract

A mathematical model for oligosaccharide hydrolysis is discussed. This model is based on system of differential equations contains a non-linear term related to kinetics of the enzymatic reactions. Homotopy analysis method (HAM) is employed to solve the system of reaction equations for the steady-state condition. Simple and approximate analytical expressions for concentrations of isomaltohexaose (C₆), isomaltotetraose (C₄), isomaltotriose (C₃) and isomaltose (C₂) are derived for all values of kinetic constants, (K_m and V_max) and the selectivity coefficient ( ). Furthermore, in this work the numerical solution of the problem is also reported using Scilab/Matlab program. The analytical results have been extended numerically and are found to be in good agreement in each other.