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 language | English |
|---|---|
| Pages (from-to) | 19-37 |
| Number of pages | 19 |
| Journal | Mathematical Biosciences |
| Volume | 192 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Nov 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