### 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 | Communications in Computer and Information Science |

Pages | 145-157 |

Number of pages | 13 |

Volume | 52 |

DOIs | |

Publication status | Published - 2010 |

### Publication series

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

ISSN (Print) | 18650929 |

### Fingerprint

### Keywords

- Biodegradation
- Mathematical modeling
- Numerical simulation
- Polyethylene Glycol

### ASJC Scopus subject areas

- Computer Science(all)

### Cite this

*Communications in Computer and Information Science*(Vol. 52, pp. 145-157). (Communications in Computer and Information Science; Vol. 52). https://doi.org/10.1007/978-3-642-11721-3_11

**Study on biodegradation process of polyethylene glycol with exponential glowth of microbial population.** / Watanabe, Masaji; Kawai, Fusako.

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

*Communications in Computer and Information Science.*vol. 52, Communications in Computer and Information Science, vol. 52, pp. 145-157. https://doi.org/10.1007/978-3-642-11721-3_11

}

TY - CHAP

T1 - Study on biodegradation process of polyethylene glycol with exponential glowth of microbial population

AU - Watanabe, Masaji

AU - Kawai, Fusako

PY - 2010

Y1 - 2010

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=77950356864&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950356864&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-11721-3_11

DO - 10.1007/978-3-642-11721-3_11

M3 - Chapter

AN - SCOPUS:77950356864

SN - 9783642117206

VL - 52

T3 - Communications in Computer and Information Science

SP - 145

EP - 157

BT - Communications in Computer and Information Science

ER -