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

Hiroshi Yoshida, Koji Nakagawa, Hirokazu Anai, Katsuhisa Horimoto

研究成果: 著書/レポートタイプへの貢献会議での発言

3 引用 (Scopus)

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
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 20079 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)
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
ドイツ
Bonn
期間9/16/079/20/07

Fingerprint

Numerics
Model Selection
Kinetics
Kinetic parameters
Time series
Differential equations
Leaves
System of Differential Equations
Algebraic Equation
Biological Phenomena
Nitrogen
Gas Exchange
Gases
Laplace Transformation
Series
Algebraic Approach
Kinetic Model
Model
Estimate
Relationships

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

これを引用

Yoshida, H., Nakagawa, K., Anai, H., & Horimoto, K. (2007). An algebraic-numeric algorithm for the model selection in kinetic networks. : 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.

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

研究成果: 著書/レポートタイプへの貢献会議での発言

Yoshida, H, Nakagawa, K, Anai, H & Horimoto, K 2007, An algebraic-numeric algorithm for the model selection in kinetic networks. : 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.
Yoshida H, Nakagawa K, Anai H, Horimoto K. An algebraic-numeric algorithm for the model selection in kinetic networks. : Computer Algebra in Scientific Computing - 10th International Workshop, CASC 2007, Proceedings. 2007. p. 433-447. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Yoshida, Hiroshi ; Nakagawa, Koji ; Anai, Hirokazu ; Horimoto, Katsuhisa. / An algebraic-numeric algorithm for the model selection in kinetic networks. Computer Algebra in Scientific Computing - 10th International Workshop, CASC 2007, Proceedings. 2007. pp. 433-447 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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