2011
DOI: 10.1007/s12010-011-9362-4
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A Fractal-Like Kinetic Equation to Investigate Temperature Effect on Cellulose Hydrolysis by Free and Immobilized Cellulase

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(2)>0.99). The fitted h value is estimated as a constant (0.6148) in these tested temperatures. The fitt… Show more

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Cited by 22 publications
(27 citation statements)
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“…3. h values are of the same order of magnitude as values obtained by Väljamäe et al (2003) or Zhang et al (2012), for cellulose hydrolysis. To our knowledge, similar models have not been applied before to starch hydrolysis, and then we did not find numerical values of h for starch hydrolysis in the literature.…”
Section: Can Fractal-like Kinetics Describe Starch Granule Hydrolysissupporting
confidence: 74%
“…3. h values are of the same order of magnitude as values obtained by Väljamäe et al (2003) or Zhang et al (2012), for cellulose hydrolysis. To our knowledge, similar models have not been applied before to starch hydrolysis, and then we did not find numerical values of h for starch hydrolysis in the literature.…”
Section: Can Fractal-like Kinetics Describe Starch Granule Hydrolysissupporting
confidence: 74%
“…Manganese ions can enhance cell growth (Xue et al 2008;Pereira et al 2010) and increase the activity of cellulase (Guerfali et al 2011;El-Gindy et al 2015). Cellulase enzyme production is relatively costly, which requires the enzyme to be used as fully as possible (Zhang et al 2012). Therefore, further research on manganese supplementation is needed to optimize the process of manganese catalyzed ethanol production.…”
Section: Introductionmentioning
confidence: 99%
“…The study of fermentation kinetic parameters is important for understanding the impacts of process parameters on ethanol production (Wang and Feng 2010;Zhang et al 2012). Moreover, a mathematical model is both an important tool for understanding the mechanism of a complex reaction and the base for largescale process model development (Wang and Feng 2010).…”
Section: Introductionmentioning
confidence: 99%
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