### Abstract

Microbial depolymerization processes of polyethylene glycol are studied using a model for general depolymerization processes. The model involves a degradation rate that is a product of a time factor and a molecular factor. An inverse problem is solved numerically to determine the time factor using weight distributions with respect to the molecular weight before and after cultivation of a microbial consortium. The time factor is the microbial population whose carbon source is the liberated monomers. An initial value problem is solved numerically to simulate the transition of the weight distribution and the microbial population.

Original language | English |
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Journal | ANZIAM Journal |

Volume | 53 |

Issue number | SUPPL |

Publication status | Published - 2011 |

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### ASJC Scopus subject areas

- Mathematics (miscellaneous)

### Cite this

**Study on microbial depolymerization processes of xenobiotic polymers with mathematical modelling and numerical simulation.** / Watanabe, Masaji; Kawai, Fusako.

Research output: Contribution to journal › Article

*ANZIAM Journal*, vol. 53, no. SUPPL.

}

TY - JOUR

T1 - Study on microbial depolymerization processes of xenobiotic polymers with mathematical modelling and numerical simulation

AU - Watanabe, Masaji

AU - Kawai, Fusako

PY - 2011

Y1 - 2011

N2 - Microbial depolymerization processes of polyethylene glycol are studied using a model for general depolymerization processes. The model involves a degradation rate that is a product of a time factor and a molecular factor. An inverse problem is solved numerically to determine the time factor using weight distributions with respect to the molecular weight before and after cultivation of a microbial consortium. The time factor is the microbial population whose carbon source is the liberated monomers. An initial value problem is solved numerically to simulate the transition of the weight distribution and the microbial population.

AB - Microbial depolymerization processes of polyethylene glycol are studied using a model for general depolymerization processes. The model involves a degradation rate that is a product of a time factor and a molecular factor. An inverse problem is solved numerically to determine the time factor using weight distributions with respect to the molecular weight before and after cultivation of a microbial consortium. The time factor is the microbial population whose carbon source is the liberated monomers. An initial value problem is solved numerically to simulate the transition of the weight distribution and the microbial population.

UR - http://www.scopus.com/inward/record.url?scp=84897902198&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84897902198&partnerID=8YFLogxK

M3 - Article

VL - 53

JO - ANZIAM Journal

JF - ANZIAM Journal

SN - 1446-1811

IS - SUPPL

ER -