Skip to main content
SpringerLink
Log in

Study on Biodegradation Process of Polyethylene Glycol with Exponential Glowth of Microbial Population

  • Conference paper
Biomedical Engineering Systems and Technologies (BIOSTEC 2009)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 52))

Abstract

Biodegradation of polyethylene glycol is studied mathematically. A mathematical model for depolymerization process of exogenous type is described. When a degradation rate is a product of a time factor and a molecular factor, a time dependent model can be transformed into a time independent model, and techniques developed in previous studies can be applied to the time independent model to determine the molecular factor. The time factor can be determined assuming the exponential growth of the microbial population. Those techniques are described, and numerical results are presented. A comparison between a numerical result and an experimental result shows that the mathematical method is appropriate for practical applications.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Potts, J.E., Clendinning, R.A., Ackart, W.B., Niegishi, W.D.: The biodegradability of synthetic polymers. Polym. Preprints 13, 629–634 (1972)

    Google Scholar 

  2. Haines, J.R., Alexander, M.: Microbial degradation of high-molecular-weight alkanes. Appl. Microbiol. 28, 1084–1085 (1974)

    Google Scholar 

  3. Albertsson, A.-C., Andersson, S.O., Karlsson, S.: The mechanism of bioidegradation of plyethylene. Polym. Degrad. Stab. 18, 73–87 (1987)

    Article  Google Scholar 

  4. Kawai, F., Watanabe, M., Shibata, M., Yokoyama, S., Sudate, Y.: Experimental analysis and numerical simulation for biodegradability of polyethylene. Polym. Degrad. Stab. 76, 129–135 (2002)

    Article  Google Scholar 

  5. Watanabe, M., Kawai, F., Shibata, M., Yokoyama, S., Sudate, Y.: Computational method for analysis of polyethylene biodegradation. Journal of Computational and Applied Mathematics 161, 133–144 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  6. Kawai, F.: Biodegradability and chemical structure of polyethers. Kobunshi Ronbunshu 50(10), 775–780 (1993) (in Japanese)

    Google Scholar 

  7. Kawai, F.: Breakdown of plastics and polymers by microorganisms. Advances in Biochemical Engineering/Biotechnology 52, 151–194 (1995)

    Article  MathSciNet  Google Scholar 

  8. Kawai, F.: Microbial degradation of polyethers. Applied Microbiology and Biotechnology 58, 30–38 (2002)

    Article  Google Scholar 

  9. Lambert, J.D.: Computational Methods in Ordinary Differential Equations. John Wiley & Sons, Chichester (1973)

    MATH  Google Scholar 

  10. Kawai, F., Watanabe, M., Shibata, M., Yokoyama, S., Sudate, Y., Hayashi, S.: Comparative study on biodegradability of polyethylene wax by bacteria and fungi. Polym. Degrad. Stab. 86, 105–114 (2004)

    Article  Google Scholar 

  11. Watanabe, M., Kawai, F., Shibata, M., Yokoyama, S., Sudate, Y., Hayashi, S.: Analytical and computational techniques for exogenous depolymerization of xenobiotic polymers. Mathematical Biosciences 192, 19–37 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  12. Kawai, F.: Xenobiotic polymers. In: Imanaka, T. (ed.) Great Development of Microorganisms, pp. 865–870. NTS. Inc., Tokyo (2002) (in Japanese)

    Google Scholar 

  13. Watanabe, M., Kawai, F.: Numerical simulation of microbial depolymerization process of exogenous type. In: May, R., Roberts, A.J. (eds.) Proc. of 12th Computational Techniques and Applications Conference, CTAC 2004, Melbourne, Australia (September 2004); ANZIAM J. 46(E), C1188–C1204 (2005), http://anziamj.austms.org.au/V46/CTAC2004/Wata

  14. Watanabe, M., Kawai, F.: Mathematical study of the biodegradation of xenobiotic polymers with experimental data introduced into analysis. In: Stacey, A., Blyth, B., Shepherd, J., Roberts, A.J. (eds.) Proceedings of the 7th Biennial Engineering Mathematics and Applications Conference, EMAC 2005, Melbourne (2005); ANZIAM J. 47, C665–C681 (2007), http://anziamj.austms.org.au/V47EMAC2005/Watanabe

  15. Watanabe, M., Kawai, F.: Numerical study of biodegradation of xenobiotic polymers based on exogenous depolymerization model with time dependent degradation rate. Journal of the Faculty of Environmental Science and Technology, Okayama University 12, 1–6 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Graduate School of Environmental Science, Okayama University, 1-1, Naka 3-chome, Tsushima, Kita-ku, Okayama, 700-8530, Japan

    Masaji Watanabe

  2. R & D center of Bio-based materials, Kyoto Institute of Technology, Hashigami-cho 1, Matsugasaki, Sakyo-ku, Kyoto, 606-8585, Japan

    Fusako Kawai

Authors
  1. Masaji Watanabe
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fusako Kawai
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Instituto de Telecomunicaçöes, IST - Instituto Superior Técnico, Av. Rovisco Pais, 1, 1049-001, Portugal, Lisbon

    Ana Fred

  2. Departament of Systems and Informatics, Polytechnic Institute of Setúbal – INSTICC, Rua do Vale de Chaves - Estefanilha, 2910-761, Setúbal, Portugal

    Joaquim Filipe

  3. Institute of Telecommunications, Av. Rovisco Pais, 1, 1049-001, Lisboa, Portugal

    Hugo Gamboa

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Watanabe, M., Kawai, F. (2010). Study on Biodegradation Process of Polyethylene Glycol with Exponential Glowth of Microbial Population. In: Fred, A., Filipe, J., Gamboa, H. (eds) Biomedical Engineering Systems and Technologies. BIOSTEC 2009. Communications in Computer and Information Science, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11721-3_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-11721-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11720-6

  • Online ISBN: 978-3-642-11721-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation