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

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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 fitted k value increased with temperature increase, and the relationship agreed with Arrhenius equation (R 2 > 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.

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Acknowledgments

This work was funded by the Knowledge Innovation Program of the Chinese Academy of Sciences (KSCX-YW-11-A3) and National Key Technology R&D Program (2011BAD22B01).

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Authors and Affiliations

  1. Key Laboratory of Renewable Energy and Gas Hydrate, Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, No. 2, Nengyuan Road, Wushan, Tianhe, Guangzhou, 510640, China

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

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  1. Yu Zhang
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  2. Jing-Liang Xu
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  3. Wei Qi
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  4. Zhen-Hong Yuan
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  5. Xin-Shu Zhuang
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  6. Yun Liu
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  7. Min-Chao He
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Correspondence to Zhen-Hong Yuan.

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Zhang, Y., Xu, JL., Qi, W. et al. A Fractal-Like Kinetic Equation to Investigate Temperature Effect on Cellulose Hydrolysis by Free and Immobilized Cellulase. Appl Biochem Biotechnol 168, 144–153 (2012). https://doi.org/10.1007/s12010-011-9362-4

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  • DOI: https://doi.org/10.1007/s12010-011-9362-4

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