Microbial depolymerization processes of exogenous type are studied for biodegradation of polyethylene glycol. The time factor of a degradation rate is the microbial population which grows on degraded monomer units as the carbon source. Numerical simulation shows that our model is of practical use. References 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 Fusako Kawai and Shogo Enokibara. Symbiotic degradation of polyethylene glycol (peg) 20,000-phthalate polyester by phthalate ester- and peg 20,000-utilizing bacteria. Journal of Fermentation and Bioengineering, 82(6):575--579, 1996. M. Watanabe and F. Kawai. Numerical simulation of microbial depolymerization process of exogenous type. ANZIAM J., 46(E):C1188--C1204, 2005. Proc. of 12th Computational Techniques and Applications Conference, CTAC-2004, Melbourne, Australia in September 2004, Editors: Rob May and A. J. Roberts http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1014 M. Watanabe and F. Kawai. Mathematical study of the biodegradation of xenobiotic polymers with experimental data introduced into analysis. ANZIAM J., 47:C665--C681, 2007. Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference, EMAC-2005, Melbourne, Editors: Andrew Stacey and Bill Blyth and John Shepherd and A. J. Roberts, http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1069 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. Study on effects of microorganism in depolymerization process of xenobiotic polymers by modeling and simulation. In Ana Fred, Joaquim Filipe, and Hugo Gamboa, editors, Proceedings of the First International Conference on Bioinformatics, Valencia, Spain, January 20--23, 2010, pages 181--186. 2010 INSTICC, Institute for Systems and Technologies of Information, Control and Communication, 2010. 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 M. Watanabe, F. Kawai, M. Shibata, S. Yokoyama, Y. Sudate, and S. Hayashi. Analytical and computational techniques for exogenous depolymerization of xenobiotic polymers. Mathematical Biosciences, 192:19--37, 2004. doi:10.1016/j.mbs.2004.06.006
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