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

19 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 1 2004

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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