An exact analysis of the sliding motion in contractile system: A simplified model of muscle system

Yoji Aizawa*, Hiroshi Shimizu

*この研究の対応する著者

    研究成果: Article査読

    3 被引用数 (Scopus)

    抄録

    A system involving two kinds of sliding filaments is analysed with special attention to the actomyosin system. Rigorous results are obtained about the statistical effect originating from many active sites distributed on both filaments. It is necessary for the occurrence of smooth motion in sliding filament that the spatial periods of active sites on both filaments are relatively incommensurable, and that the number of active sites on each filament is large enough. Sufficient conditions for smooth contraction are derived under the assumption that both filaments are rigid; this is called rigid rod approximation in the present paper. The elastic mode of the filaments, during the sliding process, is analysed by perturbation theory based on the rigid rod approximation. A stochastic theory is briefly discussed in reference to the cooperative generation of contractile force, which is concerned in Hill's relation of muscle contraction.

    本文言語English
    ページ(範囲)813-828
    ページ数16
    ジャーナルBulletin of Mathematical Biology
    41
    6
    DOI
    出版ステータスPublished - 1979 11

    ASJC Scopus subject areas

    • 農業および生物科学(全般)
    • 薬理学
    • 神経科学(全般)
    • 数学 (全般)
    • 免疫学
    • 環境科学(全般)
    • 計算理論と計算数学
    • 生化学、遺伝学、分子生物学(全般)

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