A simple model represents oscillatory movements such as many animals u
se for running, swimming or flight. A plate is oscillated in a fluid b
y a pair of muscles that exert the forces needed to overcome its inert
ia and hydrodynamic drag. The muscles have spring-like tendons. Empiri
cally-based equations that take account of the force exerted by a musc
le and the rate at which it is shortening are used to estimate the met
abolic energy cost of the oscillation. The maximum shortening speed (v
(max)) of the muscles and the elastic compliance of their tendons are
varied to find the optimum combination that minimizes metabolic cost.
If hydrodynamic forces predominate (as in swimming), the cost is highl
y sensitive to muscle speed (which should be relatively high) but less
sensitive to compliance. If inertial forces predominate (as in runnin
g) the cost is highly sensitive to tendon compliance, and less sensiti
ve to muscle speed (which should preferably be low). The muscles that
power the locomotion of various animals are discussed in the light of
these conclusions. (C) 1997 Academic Press Limited.