Analytical and computational techniques for exogenous depolymerization of xenobiotic polymers

Masaji Watanabe, Fusako Kawai, Masaru Shibata, Shigeo Yokoyama, Yasuhiro Sudate, Shizue Hayashi

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We analyze a mathematical model for exogenous depolymerization of xenobiotic polymers. We derive a sufficient condition for the solvability of its inverse problem to determine degradation rates. We also introduce a numerical technique to solve the inverse problem with an example to show how our numerical technique is applied to gel permeation chromatography data of polyethylene wax obtained before and after three-week cultivation of a fungus Aspergillus sp. AK-3. In addition, we present a numerical result which we obtained by applying the degradation rate based on the three week cultivation to simulate the transition of the weight distribution after cultivation of the fungus for five weeks.

Original languageEnglish
Pages (from-to)19-37
Number of pages19
JournalMathematical Biosciences
Volume192
Issue number1
DOIs
Publication statusPublished - Nov 2004

Fingerprint

Depolymerization
depolymerization
Computational Techniques
Xenobiotics
xenobiotics
Numerical Techniques
polymers
Inverse Problem
Polymers
Degradation
Fungi
polymer
inverse problem
Inverse problems
fungi
Weight Distribution
degradation
Waxes
Polyethylene
Aspergillus

Keywords

  • β-oxidation
  • Aspergillus
  • Biodegradation
  • Exogenous depolymerization
  • Xenobiotic polymers

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Analytical and computational techniques for exogenous depolymerization of xenobiotic polymers. / Watanabe, Masaji; Kawai, Fusako; Shibata, Masaru; Yokoyama, Shigeo; Sudate, Yasuhiro; Hayashi, Shizue.

In: Mathematical Biosciences, Vol. 192, No. 1, 11.2004, p. 19-37.

Research output: Contribution to journalArticle

Watanabe, M, Kawai, F, Shibata, M, Yokoyama, S, Sudate, Y & Hayashi, S 2004, 'Analytical and computational techniques for exogenous depolymerization of xenobiotic polymers', Mathematical Biosciences, vol. 192, no. 1, pp. 19-37. https://doi.org/10.1016/j.mbs.2004.06.006
Watanabe, Masaji ; Kawai, Fusako ; Shibata, Masaru ; Yokoyama, Shigeo ; Sudate, Yasuhiro ; Hayashi, Shizue. / Analytical and computational techniques for exogenous depolymerization of xenobiotic polymers. In: Mathematical Biosciences. 2004 ; Vol. 192, No. 1. pp. 19-37.
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