### Abstract

A microbial depolymerization proces of exogenous type is studied with experimental data introduced into the analysis. A mathematical model for exogenous depolymerization processes is described together with the numerical techniques to analyze it. Given an initial weight distribution of polyethylene glycol with respect to the molecular weight and its final weight distribution obtained after cultivation of a microbial consortium E1, an inverse problem of an initial value problem determines an oxidation rate. Given the oxidation rate, the initial value problem was solved to simulate the transition of weight distribution. A numerical simulation shows that the mathematical method of analysis of an exogenous depolymerization process is practically acceptable. The numerical techniques illustrated here are applicable to the analyses of other exogenous depolymerization processes.

Original language | English |
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Journal | ANZIAM Journal |

Volume | 46 |

Issue number | 5 ELECTRONIC SUPPL. |

Publication status | Published - 2004 |

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### ASJC Scopus subject areas

- Mathematics (miscellaneous)

### Cite this

*ANZIAM Journal*,

*46*(5 ELECTRONIC SUPPL.).

**Numerical simulation of microbial depolymerization process of exogenous type.** / Watanabe, Masaji; Kawai, F.

Research output: Contribution to journal › Article

*ANZIAM Journal*, vol. 46, no. 5 ELECTRONIC SUPPL..

}

TY - JOUR

T1 - Numerical simulation of microbial depolymerization process of exogenous type

AU - Watanabe, Masaji

AU - Kawai, F.

PY - 2004

Y1 - 2004

N2 - A microbial depolymerization proces of exogenous type is studied with experimental data introduced into the analysis. A mathematical model for exogenous depolymerization processes is described together with the numerical techniques to analyze it. Given an initial weight distribution of polyethylene glycol with respect to the molecular weight and its final weight distribution obtained after cultivation of a microbial consortium E1, an inverse problem of an initial value problem determines an oxidation rate. Given the oxidation rate, the initial value problem was solved to simulate the transition of weight distribution. A numerical simulation shows that the mathematical method of analysis of an exogenous depolymerization process is practically acceptable. The numerical techniques illustrated here are applicable to the analyses of other exogenous depolymerization processes.

AB - A microbial depolymerization proces of exogenous type is studied with experimental data introduced into the analysis. A mathematical model for exogenous depolymerization processes is described together with the numerical techniques to analyze it. Given an initial weight distribution of polyethylene glycol with respect to the molecular weight and its final weight distribution obtained after cultivation of a microbial consortium E1, an inverse problem of an initial value problem determines an oxidation rate. Given the oxidation rate, the initial value problem was solved to simulate the transition of weight distribution. A numerical simulation shows that the mathematical method of analysis of an exogenous depolymerization process is practically acceptable. The numerical techniques illustrated here are applicable to the analyses of other exogenous depolymerization processes.

UR - http://www.scopus.com/inward/record.url?scp=70549101026&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70549101026&partnerID=8YFLogxK

M3 - Article

VL - 46

JO - ANZIAM Journal

JF - ANZIAM Journal

SN - 1446-1811

IS - 5 ELECTRONIC SUPPL.

ER -