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

Hiroshi Yoshida, Koji Nakagawa, Hirokazu Anai, Katsuhisa Horimoto

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    3 Citations (Scopus)


    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.

    Original languageEnglish
    Title of host publicationComputer Algebra in Scientific Computing - 10th International Workshop, CASC 2007, Proceedings
    Number of pages15
    Publication statusPublished - Dec 1 2007
    Event10th International Workshop Computer Algebra in Scientific Computing, CASC 2007 - Bonn, Germany
    Duration: Sept 16 2007Sept 20 2007

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume4770 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349


    Other10th International Workshop Computer Algebra in Scientific Computing, CASC 2007

    All Science Journal Classification (ASJC) codes

    • Theoretical Computer Science
    • Computer Science(all)


    Dive into the research topics of 'An algebraic-numeric algorithm for the model selection in kinetic networks'. Together they form a unique fingerprint.

    Cite this