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A three-state model for oscillation in muscle: sinusoidal analysis.

M Murase, H Tanaka, K Nishiyama

    Journal of Muscle Research and Cell Motility
    |February 1, 1986
    PubMed
    Summary
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    This study models muscle oscillation using a three-state crossbridge mechanism, accurately predicting muscle mechanical properties and experimental results. The findings clarify the crossbridge dynamics responsible for oscillatory contractions in insect flight muscle.

    Area of Science:

    • Muscle Physiology
    • Biophysics
    • Theoretical Biology

    Background:

    • Insect flight muscle exhibits oscillatory contractions, a phenomenon not fully explained by existing models.
    • Understanding the crossbridge mechanism is crucial for elucidating muscle function and energetics.

    Purpose of the Study:

    • To theoretically investigate the crossbridge mechanism responsible for oscillatory contractions in insect flight muscle.
    • To validate a three-state model against experimental data for muscle mechanical properties.
    • To determine the crossbridge dynamics that produce positive power output during oscillation.

    Main Methods:

    • Utilized a three-state crossbridge model based on Nishiyama et al. (1977).
    • Selected rate constants to demonstrate oscillatory contraction and reproduce skeletal muscle properties.

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  • Compared theoretical predictions with experimental data from Kawai & Brandt (1980) and Steiger & Rüegg (1969).
  • Calculated spatio-temporal crossbridge distributions to analyze power output mechanisms.

    • Main Results:

    • The model successfully reproduces Hill's force-velocity relation and other skeletal muscle mechanical properties.
    • Theoretical results align well with experimental findings on Nyquist plots and power output/ATPase activity.
    • Identified delayed tension rise and fall during sinusoidal length changes due to crossbridge attachment and detachment dynamics.
    • Demonstrated that muscle stretch increasing attachment rate is not necessary for oscillatory properties.

    Conclusions:

    • The three-state crossbridge model provides a robust framework for understanding muscle oscillation.
    • The model accurately predicts muscle mechanical behavior and experimental observations.
    • Clarified the role of crossbridge attachment and detachment kinetics in generating oscillatory contractions and positive power output.