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A physical model for muscular behavior.

J T Apter, W W Graessley

    Biophysical Journal
    |June 1, 1970
    PubMed
    Summary
    This summary is machine-generated.

    A new model, generalizing polymer physics, accurately simulates muscle behavior under various conditions. This offers a quantitative approach to understanding both smooth and striated muscle mechanics.

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    Area of Science:

    • Biophysics
    • Muscle Physiology
    • Materials Science

    Background:

    • Understanding the complex mechanical behavior of muscle, encompassing both smooth and striated types, is crucial for numerous physiological and pathological conditions.
    • Existing models often struggle to capture the full spectrum of muscle responses, including viscoelasticity, contraction dynamics, and environmental influences.

    Purpose of the Study:

    • To develop a generalized mathematical model for muscular behavior by extending principles of polymeric viscoelasticity.
    • To simulate and quantitatively predict muscle responses during stretch, loading, and stimulation.
    • To establish a framework for unifying the understanding of diverse muscle types.

    Main Methods:

    • Generalized laws of viscoelastic behavior from polymeric materials to create a muscle model.

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  • Solved equations of motion using an analogue computer for various perturbations.
  • Fitted model parameters to experimental stress-relaxation data.

    • Main Results:

    • Generated stress, strain, and strain rate curves that accurately reflect muscle behavior.
    • Predicted frequency dependence of dynamic modulus and phase angle within experimental error.
    • Computed results closely matched experimental data for contraction velocity, isometric tension, force-velocity relationships, and temperature-tension dynamics.

    Conclusions:

    • The developed model provides a unified and quantitative approach to understanding the behavior of various muscle types.
    • This generalized model highlights the relationship between polymer physics and muscle mechanics.
    • Opens new avenues for quantifying muscular behavior and its underlying principles.