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

Yoji Aizawa*, Hiroshi Shimizu

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)813-828
    Number of pages16
    JournalBulletin of Mathematical Biology
    Issue number6
    Publication statusPublished - 1979 Nov

    ASJC Scopus subject areas

    • Agricultural and Biological Sciences(all)
    • Pharmacology
    • Neuroscience(all)
    • Mathematics(all)
    • Immunology
    • Environmental Science(all)
    • Computational Theory and Mathematics
    • Biochemistry, Genetics and Molecular Biology(all)


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