Results
Title

A Fractal-Like Kinetic Equation to Investigate Temperature Effect on Cellulose Hydrolysis by Free and Immobilized Cellulase.

Authors

Zhang, Yu; Xu, Jing-Liang; Qi, Wei; Yuan, Zhen-Hong; Zhuang, Xin-Shu; Liu, Yun; He, Min-Chao

Abstract

According to fractal-like theory in the heterogeneous system, a cellulase-catalyzed kinetic equation that contained two parameters (rate constant k and fractal dimension h) was deduced. The equation described directly the mathematical relationship between reducing sugar concentration and hydrolytic time, and accurately fitted the experimental data of free/immobilized cellulase at 37, 40, 44, 47, and 50 °C ( R > 0.99). The fitted h value is estimated as a constant (0.6148) in these tested temperatures. The fitted k value increased with temperature increase, and the relationship agreed with Arrhenius equation ( R > 0.98). The fractal-like equation could predict accurately the experimental data at low temperature 34 °C for free/immobilized cellulase and high temperature 53 °C for immobilized cellulase, but the prediction at 53 °C for free cellulase was not accurate enough due to its lower stability than immobilized cellulase. The application of fractal-like theory in cellulase kinetics is successful.

Subjects

CELLULOSE; HYDROLYSIS; CELLULASE; ARRHENIUS equation; HIGH temperatures; DYNAMICS

Publication

Applied Biochemistry & Biotechnology, 2012, Vol 168, Issue 1, p144

ISSN

0273-2289

Publication type

Academic Journal

DOI

10.1007/s12010-011-9362-4