### Abstract

Mathematical techniques are applied to a microbial depolymerization process. A mathematical model for the transition of the weight distribution and the microbial population is described. Inverse problems for a molecular factor and a time factor of a degradation rate are derived. Numerical techniques to solve the inverse problems are illustrated, and numerical results are presented.

Original language | English |
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Title of host publication | Proceedings of the 7th SEAMS UGM International Conference on Mathematics and Its Applications 2015: Enhancing the Role of Mathematics in Interdisciplinary Research |

Publisher | American Institute of Physics Inc. |

Volume | 1707 |

ISBN (Electronic) | 9780735413542 |

DOIs | |

Publication status | Published - Feb 11 2016 |

Event | 7th SEAMS UGM International Conference on Mathematics and Its Applications: Enhancing the Role of Mathematics in Interdisciplinary Research - Yogyakarta, Indonesia Duration: Aug 18 2015 → Aug 21 2015 |

### Other

Other | 7th SEAMS UGM International Conference on Mathematics and Its Applications: Enhancing the Role of Mathematics in Interdisciplinary Research |
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Country | Indonesia |

City | Yogyakarta |

Period | 8/18/15 → 8/21/15 |

### Fingerprint

### Keywords

- Biodegradation
- inverse problems
- mathematical modeling
- numerical simulation
- polymer

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Proceedings of the 7th SEAMS UGM International Conference on Mathematics and Its Applications 2015: Enhancing the Role of Mathematics in Interdisciplinary Research*(Vol. 1707). [050019] American Institute of Physics Inc.. https://doi.org/10.1063/1.4940851

**Solutions of inverse problems for biodegradation of xenobiotic polymers.** / Watanabe, Masaji; Kawai, Fusako.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 7th SEAMS UGM International Conference on Mathematics and Its Applications 2015: Enhancing the Role of Mathematics in Interdisciplinary Research.*vol. 1707, 050019, American Institute of Physics Inc., 7th SEAMS UGM International Conference on Mathematics and Its Applications: Enhancing the Role of Mathematics in Interdisciplinary Research, Yogyakarta, Indonesia, 8/18/15. https://doi.org/10.1063/1.4940851

}

TY - GEN

T1 - Solutions of inverse problems for biodegradation of xenobiotic polymers

AU - Watanabe, Masaji

AU - Kawai, Fusako

PY - 2016/2/11

Y1 - 2016/2/11

N2 - Mathematical techniques are applied to a microbial depolymerization process. A mathematical model for the transition of the weight distribution and the microbial population is described. Inverse problems for a molecular factor and a time factor of a degradation rate are derived. Numerical techniques to solve the inverse problems are illustrated, and numerical results are presented.

AB - Mathematical techniques are applied to a microbial depolymerization process. A mathematical model for the transition of the weight distribution and the microbial population is described. Inverse problems for a molecular factor and a time factor of a degradation rate are derived. Numerical techniques to solve the inverse problems are illustrated, and numerical results are presented.

KW - Biodegradation

KW - inverse problems

KW - mathematical modeling

KW - numerical simulation

KW - polymer

UR - http://www.scopus.com/inward/record.url?scp=84984585688&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84984585688&partnerID=8YFLogxK

U2 - 10.1063/1.4940851

DO - 10.1063/1.4940851

M3 - Conference contribution

AN - SCOPUS:84984585688

VL - 1707

BT - Proceedings of the 7th SEAMS UGM International Conference on Mathematics and Its Applications 2015: Enhancing the Role of Mathematics in Interdisciplinary Research

PB - American Institute of Physics Inc.

ER -