### 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 | Biomedical Engineering Systems and Technologies |

Subtitle of host publication | International Joint Conference, BIOSTEC 2009 Porto, Portugal, January 14-17, 2009, Revised Selected Papers |

Editors | Ana Fred, Hugo Gamboa, Joaquim Filipe |

Pages | 145-157 |

Number of pages | 13 |

DOIs | |

Publication status | Published - Apr 8 2010 |

### Publication series

Name | Communications in Computer and Information Science |
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Volume | 52 |

ISSN (Print) | 1865-0929 |

### Keywords

- Biodegradation
- Mathematical modeling
- Numerical simulation
- Polyethylene Glycol

### ASJC Scopus subject areas

- Computer Science(all)
- Mathematics(all)

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## Cite this

*Biomedical Engineering Systems and Technologies: International Joint Conference, BIOSTEC 2009 Porto, Portugal, January 14-17, 2009, Revised Selected Papers*(pp. 145-157). (Communications in Computer and Information Science; Vol. 52). https://doi.org/10.1007/978-3-642-11721-3_11