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Muscle contraction: energy rate equations in relation to efficiency and step-size distance
Authors:Worthington C R  Elliott G F
Affiliation:

a Carnegie Mellon University, 4400 Fifth Avenue, Pittsburgh, PA 15213, USA

b Cardiff University, Redwood Building King Edward VII Avenue, Cardiff CFI0 3NB, UK

Abstract:We derive the energy rate equation for muscle contraction. Our equation has only two parameters m, the maintenance heat rate and 1/S, the shortening heat coefficient. The impulsive model (previously described in earlier papers) provides a physical basis for parameter 1/S as well as for constants a and b in Hill’s force–velocity equation. We develop new theory and relate the efficiency and the step-size distance to our energy rate equation. Correlation between the efficiency and the step-size distance is established. The various numbers are listed in Table 1: we use data from five different muscles in the literature. In summary, our analysis strongly supports the impulsive model as the correct model of contraction.
Keywords:Muscle contraction   Energy equation   Efficiency
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