Clarification on a 'muddy point' of the Force-
Velocity relationship
Muscles Active while Lengthening
Consider the example of ordinary exercise, lets say one of the running events in
the Olympics. Muscle functions to stop the motion of the athlete as often as it
does to start it. When a load larger than isometric tetanus tension To is applied to
a muscle in a tetanic state of activation, the muscle lengthens at a constant
speed. The surprising thing is that the steady speed of lengthening is much
smaller than would be expected from an extrapolation of the Hill equation (recall
the empirical hyperbolic relation) to the negative velocity region. In fact, Katz
(1939) found that -dT/dv, the negative slope of the force-velocity curve, is about
six times greater for slow lengthening than for slow shortening.
Another anomaly is that muscle 'gives', or increase length rapidly, when the load
is raised above a certain threshold (the plateau and ultimate demise of the F-V
curve). The 'give' becomes an an overwhelming effect, almost as if the muscle
had lost its ability to resist stretching, when the load is about 1.8 To.
? McMahon, T.A. Muscles, Reflexes and Locomotion. 1984. taken from pp.
16-17.
? Katz, B. The realation between force and speed in muscular contraction.
J. Physiol. 96:45-64. 1939.
? Hill, A.V. The maximum work and mechanical efficiency of human
muscles, and their most economical speed. J. Physiol. 56:19-41. 1922.
? The heat of shortening and the dynamic constants of muscle. Proc. Roy.
Soc. B. 126:136-195. 1938.