### 抄録

We propose a novel algorithm to select a model that is consistent with the time series of observed data. In the first step, the kinetics for describing a biological phenomenon is expressed by a system of differential equations, assuming that the relationships between the variables are linear. Simultaneously, the time series of the data are numerically fitted as a series of exponentials. In the next step, both the system of differential equations with the kinetic parameters and the series of exponentials fitted to the observed data are transformed into the corresponding system of algebraic equations, by the Laplace transformation. Finally, the two systems of algebraic equations are compared by an algebraic approach. The present method estimates the model's consistency with the observed data and the determined kinetic parameters. One of the merits of the present method is that it allows a kinetic model with cyclic relationships between variables that cannot be handled by the usual approaches. The plausibility of the present method is illustrated by the actual relationships between specific leaf area, leaf nitrogen and leaf gas exchange with the corresponding simulated data.

元の言語 | 英語 |
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ホスト出版物のタイトル | Computer Algebra in Scientific Computing - 10th International Workshop, CASC 2007, Proceedings |

ページ | 433-447 |

ページ数 | 15 |

出版物ステータス | 出版済み - 12 1 2007 |

イベント | 10th International Workshop Computer Algebra in Scientific Computing, CASC 2007 - Bonn, ドイツ 継続期間: 9 16 2007 → 9 20 2007 |

### 出版物シリーズ

名前 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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巻 | 4770 LNCS |

ISSN（印刷物） | 0302-9743 |

ISSN（電子版） | 1611-3349 |

### その他

その他 | 10th International Workshop Computer Algebra in Scientific Computing, CASC 2007 |
---|---|

国 | ドイツ |

市 | Bonn |

期間 | 9/16/07 → 9/20/07 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### これを引用

*Computer Algebra in Scientific Computing - 10th International Workshop, CASC 2007, Proceedings*(pp. 433-447). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 4770 LNCS).

**An algebraic-numeric algorithm for the model selection in kinetic networks.** / Yoshida, Hiroshi; Nakagawa, Koji; Anai, Hirokazu; Horimoto, Katsuhisa.

研究成果: 著書/レポートタイプへの貢献 › 会議での発言

*Computer Algebra in Scientific Computing - 10th International Workshop, CASC 2007, Proceedings.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 巻. 4770 LNCS, pp. 433-447, 10th International Workshop Computer Algebra in Scientific Computing, CASC 2007, Bonn, ドイツ, 9/16/07.

}

TY - GEN

T1 - An algebraic-numeric algorithm for the model selection in kinetic networks

AU - Yoshida, Hiroshi

AU - Nakagawa, Koji

AU - Anai, Hirokazu

AU - Horimoto, Katsuhisa

PY - 2007/12/1

Y1 - 2007/12/1

N2 - We propose a novel algorithm to select a model that is consistent with the time series of observed data. In the first step, the kinetics for describing a biological phenomenon is expressed by a system of differential equations, assuming that the relationships between the variables are linear. Simultaneously, the time series of the data are numerically fitted as a series of exponentials. In the next step, both the system of differential equations with the kinetic parameters and the series of exponentials fitted to the observed data are transformed into the corresponding system of algebraic equations, by the Laplace transformation. Finally, the two systems of algebraic equations are compared by an algebraic approach. The present method estimates the model's consistency with the observed data and the determined kinetic parameters. One of the merits of the present method is that it allows a kinetic model with cyclic relationships between variables that cannot be handled by the usual approaches. The plausibility of the present method is illustrated by the actual relationships between specific leaf area, leaf nitrogen and leaf gas exchange with the corresponding simulated data.

AB - We propose a novel algorithm to select a model that is consistent with the time series of observed data. In the first step, the kinetics for describing a biological phenomenon is expressed by a system of differential equations, assuming that the relationships between the variables are linear. Simultaneously, the time series of the data are numerically fitted as a series of exponentials. In the next step, both the system of differential equations with the kinetic parameters and the series of exponentials fitted to the observed data are transformed into the corresponding system of algebraic equations, by the Laplace transformation. Finally, the two systems of algebraic equations are compared by an algebraic approach. The present method estimates the model's consistency with the observed data and the determined kinetic parameters. One of the merits of the present method is that it allows a kinetic model with cyclic relationships between variables that cannot be handled by the usual approaches. The plausibility of the present method is illustrated by the actual relationships between specific leaf area, leaf nitrogen and leaf gas exchange with the corresponding simulated data.

UR - http://www.scopus.com/inward/record.url?scp=38149010446&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38149010446&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:38149010446

SN - 9783540751861

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 433

EP - 447

BT - Computer Algebra in Scientific Computing - 10th International Workshop, CASC 2007, Proceedings

ER -