Periodic Lyapunov differential equation for noise evaluation in oscillatory genetic networks

Sho Ichikawa, Yohei Ito, Kenko Uchida*

*この研究の対応する著者

    研究成果: Conference contribution

    4 被引用数 (Scopus)

    抄録

    The Lyapunov equation, which describes stochastic variations of systems as a covariance equation, plays a central role in evaluation and prediction of behavior of genetic regulatory networks fluctuated by molecular noises. When the genetic network is an autonomously oscillatory system, the Lyapunov equation becomes a periodic differential equation that has generally unbounded solutions. We discuss orbital stability and periodicity properties of the solutions to the periodic Lyapunov differential equation by using Floquet-Lyapunov theory, and propose two global measures for evaluating stochastic fluctuations of the whole periodic trajectory. We also provide an evaluation formula for the period fluctuation.

    本文言語English
    ホスト出版物のタイトルProceedings of the IEEE International Conference on Control Applications
    ページ83-88
    ページ数6
    DOI
    出版ステータスPublished - 2009
    イベント2009 IEEE International Conference on Control Applications, CCA '09 - Saint Petersburg
    継続期間: 2009 7月 82009 7月 10

    Other

    Other2009 IEEE International Conference on Control Applications, CCA '09
    CitySaint Petersburg
    Period09/7/809/7/10

    ASJC Scopus subject areas

    • 制御およびシステム工学
    • コンピュータ サイエンスの応用
    • 数学 (全般)

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