### 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 - Jul 21 2009 |

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

### Publication series

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

### Keywords

- Biodegradation
- Mathematical modeling
- Numerical simulation
- Polyethylene Glycol

### ASJC Scopus subject areas

- Signal Processing
- Biomedical Engineering
- Control and Systems Engineering

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## Cite this

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