First published online September 5, 2008
Journal of Experimental Biology 211, 3001-3008 (2008)
Published by The Company of Biologists 2008
doi: 10.1242/jeb.021204
Is a parallel elastic element responsible for the enhancement of steady-state muscle force following active stretch?
S. R. Bullimore*,
B. R. MacIntosh and
W. Herzog
Human Performance Lab, Faculty of Kinesiology, University of Calgary,
2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4

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Fig. 1. Schematic illustrating how residual force enhancement (rFE) could be
generated by a parallel elastic component (PEC) that increases in stiffness
when the muscle is activated. The solid line is the force–length
relationship of the PEC in a relaxed muscle. The broken line is the
force-length relationship of the PEC when the muscle is activated with the PEC
at the length LA. The stiffness of the PEC, but not the
force, increases upon activation. If an isometric contraction is performed
when the PEC is at LB, it exerts a force
F1. However, if the muscle is activated when the PEC is at
LA and is then stretched until the PEC reaches
LB, the PEC force will be F2. The rFE
is F2–F1.
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Fig. 2. Example of raw data for stress against time (A) and length against time (B)
for one set of three contractions with a shortening distance equal to 100% of
stretch distance. Lopt=optimal length.
Isometric-shortening contraction–thick, solid, light-grey line; purely
isometric contraction–thick, broken, dark-grey line; stretch-shortening
contraction–thin, solid, black line. Force is transiently negative after
shortening because of damped oscillations, which may have been caused by
vibrations in the wire hook attached to the force transducer. Vertical broken
lines indicate the period over which mean force was calculated before the
stiffness test. Inset shows expansion of force records between broken lines,
with double-headed arrows indicating the force enhancement calculated by two
different methods (rFE1,rFE2) and the force depression (FD).
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Fig. 3. Force depression (% isometric force) induced by rapid shortening through
various distances (shortening distance expressed as a percentage of stretch
distance in the corresponding stretch-shortening contraction for consistency
with the other figures). Top axis gives corresponding final fibre length
relative to optimal length (Lopt). Error bars indicate
means ± s.e.m. Labels give number of fibres (N) when this was
less than six. *Different from zero, P<0.05.
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Fig. 4. Residual force enhancement remaining after rapid shortening by various
distances (shortening distance expressed as a percentage of stretch distance).
Force enhancement is calculated in two different ways: (A) relative to a
contraction without stretch but with shortening (solid line); and (B) relative
to a purely isometric contraction (broken line). These two methods represent
maximum and minimum bounds, respectively, for the true residual force
enhancement. In both cases, force enhancement was significantly greater than
zero when shortening distance was 100% of stretch distance. The first data
point shows the residual force enhancement without shortening. Top axis gives
corresponding final fibre length relative to optimal length
(Lopt). Error bars indicate means ± s.e.m. Labels
give number of fibres (N) when this was less than six.
*Different from zero, P<0.05.
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Fig. 5. Effect of altering stimulation rate and number of periods of force
redevelopment on the force depression in two muscle fibres. `Control', same
conditions as in the rest of the study with shortening 1500 ms into activation
so that there were two periods of force development; `+10Hz', same as
`Control' except for a 10 Hz increase in stimulation frequency; `ES'
(early-shortening), shortening performed 20 ms into activation so that there
was only one period of force development; `DS' (double-shortening), shortening
broken into two equal steps with a 1000 ms gap so that there were three
periods of force development; `TS' (triple-shortening), shortening broken into
three equal steps with 500 ms gaps so that there were four periods of force
development (only performed on fibre 2). For all trials performed on each
fibre, total shortening distance and final length were the same. However,
shortening distance and final length were different in the two fibres (see
Materials and methods), which may explain the different magnitudes of force
depression observed. Force depression increased when stimulation frequency was
increased, in contrast to what would be expected for the `movement effect'
(Edman, 1975 ;
Edman, 1980 ). Force depression
increased as the number of periods of force development was increased but the
relationship was not linear.
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© The Company of Biologists Ltd 2008