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Numerical Study on Microbial Depolymerization Process of Xenobiotic Polymer
Okayama University, Okayama, Japan
Okayama University, Okayama, Japan
- 1 Okayama University, Okayama, Japan
- 2 Okayama University, Okayama, Japan
Journal of Materials Science and Chemical Engineering·Volume 09 (2021)·Pages 43–50·Published 19 January 2021·DOI10.4236/msce.2021.91004
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Abstract
This study demonstrates mathematical analysis of biodegradation processes of xenobiotic polymers. A model for microbial population is based on the fact that growth rate of microorganisms is proportional to the microbial population and consumption rate of parts of carbon sources. The model is paired with a model for weight distribution. Those models lead to inverse problems for a molecular factor and a time factor of degradation rate. Solution of the inverse problems allows us to simulate the biodegra-dation process.
KeywordsBiodegradationPolymerMathematical ModelInverse ProblemNumeri-cal Simulation
- Haines, J.R. and Alexander, M. (1975) Microbial Degradation of Polyethylene Glycol. Applied Microbiology, 621-625. https://doi.org/10.1128/AM.29.5.621-625.1975
- Dwyer, D.F. and Tiedje, J.M. (1983) Degradaton of Ethylene Glycol and Polyethylene Glycols by Methanogenic Consortia. Applied and Environmental Microbiology, 185-190. https://doi.org/10.1128/AEM.46.1.185-190.1983
- Obradors, N. and Aguilar, J. (1991) Efficient Biodgradation of High-Molecular-Weight Polyethylene Glycols by Pure Cultures of Pseudomonas Stutzeri. Applied and Environmental Microbiology, 2383-2388. https://doi.org/10.1128/AEM.57.8.2383-2388.1991
- Watanabe, M., Kawai, F., Shibata, M., Yokoyama, S., Sudate, Y. and Hayashi, S. (2004) Analytical and Computational Techniques for Exogenous Depolymerization of Xenobiotic Polymers. Mathematical Biosciences, 192, 19-37. https://doi.org/10.1016/j.mbs.2004.06.006
- Watanabe, M. and Kawai, F. (2010) Effects of Microbial Population in Degradation Process of Xenobiotic Polymers. In Howlett, P., Nelson, M. and Roberts, A.J., Eds., Proceedings of the 9th Biennial Engineering Mathematics and Applications Conference (EMAC-2009), Vol. 51, c682-c96. http://journal.austms.org.au/ojs/index.php/anziamj/article/view/2433 https://doi.org/10.21914/anziamj.v51i0.2433
- Watanabe, M. and Kawai, F. (2006) Mathematical Modelling and Computational Analysis of Enzymatic Degradation of Xenobiotic Polymers. Applied Mathematical Modeling, 30, 1497-1514. https://doi.org/10.1016/j.apm.2005.12.011
- Watanabe, M., Kawai, F., Tsuboi, S., Nakatsu, S. and Ohara, H. (2007) Study on Enzymatic Hydrolysis of Polylactic Acid by Endogenous Depolymerization Model. Macromolecular Theory and Simulations, 16, 619-626. https://doi.org/10.1002/mats.200700015
- Watanabe, M. and Kawai, F. (2019) Exponential Approximation of Consumption Rate of Carbon Source in Numerical Simulation of Microbial Depolymerization Process. International Journal of Advances in Science Engineering and Technology, 7, 2321-8991. http://www.ijaseat.iraj.in/volume.php?Volume_id=553
- Watanabe, M. and Kawai, F. (2019) Mathematical Modeling and Inverse Analysis for Microbial Depolymerization Processes of Xenobiotic Polymers. Journal of Materials Science and Chemical Engineering, 7, 39-46. https://doi.org/10.4236/msce.2019.712005
- Watanabe, M. and Kawai, F. (2018) Numerical Study of Microbial Depolymerization Process with Weight Distributions before and after Microbial Cultivation for One Week. Proceedings of the IRES International Conference, August 2018, Kuala Lumpur, 1-5.