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Conceptual Model for the Force–Velocity Relation of Muscle (Hill's Equation)

Abstract

THE relationship between the velocity of shortening v and a constant load w on an excited striated muscle is given by Hill's equation: where P is the isometric tension and a, b are constants. Hill1 first derived this relation experimentally. Later work2 has shown that this relation accurately describes the force–velocity relation for many kinds of muscle. One of the main criticisms of Hill's equation has been that it does not directly suggest any conceptual model of a physico-chemical system2,3.

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References

  1. Hill, A. N., Proc. Roy. Soc., B, 126, 136 (1938).

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  2. Abbott, B. C., and Wilkie, D. R., J. Physiol., 120, 214 (1953).

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  3. Pringle, J. W. S., Symp. Soc. Exp. Biol., 14, 41 (1960).

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  4. Spencer, M., and Worthington, C. R., Nature, 187, 388 (1960).

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WORTHINGTON, C. Conceptual Model for the Force–Velocity Relation of Muscle (Hill's Equation). Nature 193, 1283–1284 (1962). https://doi.org/10.1038/1931283a0

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  • DOI: https://doi.org/10.1038/1931283a0

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