An exact analysis of the sliding motion in contractile system: A simplified model of muscle system |
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Authors: | Yoji Aizawa Hiroshi Shimizu |
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Institution: | (1) Faculté des Sciences, Université Libre de Bruxelles, Bruxelles, Belgium;(2) Faculty of Pharmaceutical Sciences, University of Tokyo, Bunkyo-ku, Tokyo 113, Japan;(3) Present address: Department of Physics, Faculty of Sciences, University of Kyoto, Japan |
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Abstract: | 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. |
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Keywords: | |
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