### 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.

Original language | English |
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Title of host publication | BIOSIGNALS 2009 - Proceedings of the 2nd International Conference on Bio-Inspired Systems and Signal Processing |

Pages | 25-34 |

Number of pages | 10 |

Publication status | Published - 2009 |

Event | 2nd International Conference on Bio-Inspired Systems and Signal Processing, BIOSIGNALS 2009 - Porto, Portugal Duration: Jan 14 2009 → Jan 17 2009 |

### Other

Other | 2nd International Conference on Bio-Inspired Systems and Signal Processing, BIOSIGNALS 2009 |
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Country | Portugal |

City | Porto |

Period | 1/14/09 → 1/17/09 |

### Fingerprint

### Keywords

- Biodegradation
- Mathematical modeling
- Numerical simulation
- Polyethylene Glycol

### ASJC Scopus subject areas

- Signal Processing
- Biomedical Engineering
- Control and Systems Engineering

### Cite this

*BIOSIGNALS 2009 - Proceedings of the 2nd International Conference on Bio-Inspired Systems and Signal Processing*(pp. 25-34)

**Modeling and simulation of biodegradation of xenobiotic polymers based on experimental results.** / Watanabe, Masaji; Kawai, Fusako.

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

*BIOSIGNALS 2009 - Proceedings of the 2nd International Conference on Bio-Inspired Systems and Signal Processing.*pp. 25-34, 2nd International Conference on Bio-Inspired Systems and Signal Processing, BIOSIGNALS 2009, Porto, Portugal, 1/14/09.

}

TY - GEN

T1 - Modeling and simulation of biodegradation of xenobiotic polymers based on experimental results

AU - Watanabe, Masaji

AU - Kawai, Fusako

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Biodegradation

KW - Mathematical modeling

KW - Numerical simulation

KW - Polyethylene Glycol

UR - http://www.scopus.com/inward/record.url?scp=67650526362&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67650526362&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:67650526362

SN - 9789898111654

SP - 25

EP - 34

BT - BIOSIGNALS 2009 - Proceedings of the 2nd International Conference on Bio-Inspired Systems and Signal Processing

ER -