Study of biodegradation of xenobiotic polymers with change of microbial population

Masaji Watanabe, Fusako Kawai

Abstract


Microbial depolymerization processes of polyethylene glycol are studied. A mathematical model, developed originally for endogenous type depolymerization processes, is applied to exogenous type depolymerization processes. An inverse problem is solved numerically to determine a degradation rate. An initial value problem is solved numerically to simulate the transition of weight distribution.

References
  • F. Kawai. Biodegradability and chemical structure of polyethers. Kobunshi Ronbunshu, 50(10):775--780, 1993. In Japanese.
  • F. Kawai. Breakdown of plastics and polymers by microorganisms. Advances in Biochemical Engineering/Biotechnology, 52:151--194, 1995.
  • F. Kawai. Microbial degradation of polyethers. Applied Microbiology and Biotechnology, 58:30--38, 2002. doi:10.1007/s00253-001-0850-2
  • F. Kawai. Xenobiotic polymers. In T. Imanaka, editor, Great Development of Microorganisms, pages 865--870, Tokyo, 2002. NTS. Inc. In Japanese.
  • F. Kawai, M. Watanabe, M. Shibata, S. Yokoyama, and Y. Sudate. Experimental analysis and numerical simulation for biodegradability of polyethylene. Polymer Degradation and Stability, 76:129--135, 2002. doi:10.1016/S0141-3910(02)00006-X
  • F. Kawai, M. Watanabe, M. Shibata, S. Yokoyama, Y. Sudate, and S. Hayashi. Comparative study on biodegradability of polyethylene wax by bacteria and fungi. Polymer Degradation and Stability, 86:105--114, 2004. doi:10.1016/j.polymdegradstab.2004.03.015
  • J. D. Lambert. Computational Methods in Ordinary Differential Equations. John Wiley and Sons, Chichester, 1973.
  • S. Matsumura, N. Tomizawa, A. Toki, K. Nishikawa, and K. Toshima. Novel poly(vinyl alcohol)-degrading enzyme and the degradation mechanism. Macromolecules, 32:7753--7761, 1999. doi:10.1021/ma990727b
  • M. Watanabe and F. Kawai. Numerical simulation of microbial depolymerization process of exogenous type. In Rob May and A. J. Roberts, editors, Proc. of 12th Computational Techniques and Applications Conference, CTAC-2004, Melbourne, Australia in September 2004, volume 46(E) of ANZIAM J., pages C1188--C1204, 2005. http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1014
  • M. Watanabe and F. Kawai. Mathematical modelling and computational analysis for enzymatic degradation of xenobiotic polymers. Applied Mathematical Modelling, 30:1497--1514, 2006. doi:10.1016/j.apm.2005.12.011
  • M. Watanabe and F. Kawai. Mathematical study of the biodegradation of xenobiotic polymers with experimental data introduced into analysis. In Andrew Stacey, Bill Blyth, John Shepherd, and A. J. Roberts, editors, Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference, EMAC-2005, Melbourne, volume 47 of ANZIAM J., pages C665--C681, 2007. http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1069
  • M. Watanabe and F. Kawai. Modeling and analysis of biodegradation of xenobiotic polymers based on experimental results. In Geoffry N. Mercer and A. J. Roberts, editors, Proceedings of the 8th Biennial Engineering Mathematics and Applications Conference, EMAC-2007, volume 49 of ANZIAM J., pages C457--C474, 2008. http://anziamj.austms.org.au/ojs/index.php/ANZIAM/article/view/361
  • M. Watanabe and F. Kawai. Mathematical analysis of microbial depolymerization processes of xenobiotic polymers. In Geoffry N. Mercer and A. J. Roberts, editors, Proceedings of the 14th Biennial Computational Techniques and Application Conference, CTAC2008, volume 50 of ANZIAM J., pages C930--C946, 2009. http://anziamj.austma.org.au/ojs/index.php/ANZIAMJ/article/view/1465
  • M. Watanabe and F. Kawai. Modeling and simulation of biodegradation of xenobiotic polymers based on experimental results. In BIOSIGNALS 2009, Second International Conference on Bio-inspired Systems and Signal Processing, Proceedings, Porto, Portugal, 14--17 January, 2009, pages 25--34. INSTICC Press, 2009.
  • M. Watanabe and F. Kawai. Effects of microbial population in degradation process of xenobiotic polymers. In P. Howlett, M. Nelson, and A. J. Roberts, editors, {Proceedings of the 9th Biennial Engineering Mathematics and Applications Conference, EMAC-2009}, volume 51 of ANZIAM J., pages C682--C696, 2010. http://anziamj.austma.org.au/ojs/index.php/ANZIAMJ/article/view/2433
  • M. Watanabe, F. Kawai, M. Shibata, S. Yokoyama, and Y. Sudate. Computational method for analysis of polyethylene biodegradation. Journal of Computational and Applied Mathematics, 161(1):133--144, December 2003. doi:10.1016/S0377-0427(03)0051-X
  • Masaji Watanabe and Fusako Kawai. Numerical simulation for enzymatic degradation of poly(vinyl alcohol). Polymer Degradation and Stability, 81:393--399, 2003. doi:10.1016/S0141-3910(03)00122-8
  • Masaji Watanabe, Fusako Kawai, Sadao Tsuboi, Shogo Nakatsu, and Hitomi Ohara. Study on enzymatic hydrolysis of polylactic acid by endogenous depolymerization model. {Macromolecular Theory and Simulations}, 16:619--626, 2007. doi:10.1002/mats.200700015

Keywords


biodegradation, mathematical model, numerical simulation

Full Text:

PDF BibTeX


DOI: http://dx.doi.org/10.21914/anziamj.v52i0.3965



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.