Hill's model
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2008-06-14T19:57:41Z
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'''Hill's model''' refers to either Hill's equation for [[tetanized muscle]], or to the 3-element model.
==Hill's equation==
Derived by a famous physiologist named [[Archibald Vivian Hill]], this is a popular [[state equation]] applicable to [[skeletal muscle]] that has been stimulated to show [[tetanus]]. It relates tension to velocity. The equation is
:<math>\left(v+b\right)(P+a) = b(P_0+a)</math>
where
* ''P'' is the load or tension in the muscle
* ''v'' is the velocity of contraction
* ''P<sub>0</sub>'' is the maximum load or tension generated in the muscle
* ''a'' and ''b'' are constants
Although Hill's equation looks very much like the [[van der Waals equation]], the former has units of energy [[dissipation]], while the latter has units of [[energy]]. Hill's equation demonstrates that the relationship between P and v is hyperbolic. Therefore, the higher the load applied to the muscle, the lower the contraction velocity. Similarly, the higher the contraction velocity, the lower the tension in the muscle.
==References==
<div class="references-small">
* [[Yuan-Cheng Fung|Fung YC]]. ''[[Biomechanics]]'', 2nd ed. Springer-Verlag, New York (1993). ISBN 0-387-97947-6
</div>
[[Category:Equations]]
[[Category:Biomechanics]]
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