Research ArticleOpen AccessGoogle Scholar indexed
Mathematical Modeling and Inverse Analysis for Microbial Depolymerization Processes of Xenobiotic Polymers
Faculty of Mathematics and Natural Sciences, Andalas Uniersity, Padang, Republic of Indonesia
Okayama University, Okayama, Japan
- 1 Faculty of Mathematics and Natural Sciences, Andalas Uniersity, Padang, Republic of Indonesia
- 2 Okayama University, Okayama, Japan
Journal of Materials Science and Chemical Engineering·Volume 07 (2019)·Pages 39–46·Published 10 December 2019·DOI10.4236/msce.2019.712005
Copy link · social · email
Abstract
Microbial depolymerization processes of xenobiotic polymers are discussed. A mathematical model is formulated and inverse problems for a time factor and a molecular factor of a degradation rate are described. Experimental outcomes are introduced in inverse analyses. Once the time factor and the molecular factor are obtained, the microbial depolymerization process is simu-lated. Numerical techniques are illustrated and numerical results are presented.
KeywordsMicrobial DepolymerizationPolyetylene Glycol 4000Mathematical ModelInverse ProblemNumerical Simulation
- Haines, J.R. amd Alexander, M. (1975) Microbial Degradation of Polyethylene Glycol. Applied Microbiology, 621-625.
- Dwyer, D.F. and Tiedje, J.M. (1983) Degradaton of Ethylene Glycol and Polyethylene Glycols by Methanogenic Consortia. Applied and Environmental Microbiology, 185-190.
- 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.
- 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. (2009) 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 ANZIAM J, 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 Modelling, 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. (2014) Simulation for Microbial Depolymerization Processes of Polyethylene Glycol. In: Gaol, F.L., Soewito, B., Bououdina, P., Chen, M.-S., Eds., Proceedings of the 2013 International Conference on Advances in Intelligent Systems in Bioinformatics, intel-13, Advances in Intelligent Systems Research, Atlantis Press, February 2014, 1951-6851. https://www.atlantis-press.com/proceedings/intel-13/11361 https://doi.org/10.2495/intelsys130111
- Watanabe, M. and Kawai, F. (2016) Simulation of Microbial Depolymerization Process with Exponential Consumption of Carbon Source. 2016 International Conference on Computer, Mechatronics and Electronic Engineering (CMEE 2016), DEStech Publications, Inc., Lancaster, Pennsylvania, 426-431. https://doi.org/10.12783/dtcse/cmee2016/5356
- Watanabe, M. and Kawai, F. (2017) Computational Analysis for Biodegradation of Exogenously Depolymerizable Polymer. 2017 The 5th International Conference on Mechanical Engineering, Material Science and Civil Engineering, December 2017, Kuala Lumpur, Malaysia, 012015, IOP Conference Series: Materials Science and Engineering, Published Online: 6 April 2018. IOP Publishing. https://doi.org/10.1088/1757-899x/324/1/012015