First published online September 14, 2007
Journal of Experimental Biology 210, 3361-3373 (2007)
Published by The Company of Biologists 2007
doi: 10.1242/jeb.003970
Muscles do more positive than negative work in human locomotion
Paul DeVita*,
Joseph Helseth and
Tibor Hortobagyi
Biomechanics Laboratory, Department of Exercise and Sport Science,
East Carolina University, Greenville, NC 27858, USA

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Fig. 1. Joint powers in shoulder (A) and squat (B) movements. Both cyclic
activities had positive and negative joint powers that were associated with
lowering and raising either one upper extremity or all body mass above the
ankles. (C) Total positive and negative joint work were virtually identical in
the negative and positive phases of the shoulder and squat tasks (i.e.
differences were less than 1%). These data strongly suggest that positive and
negative joint and muscle work can be equivalent in certain uni- and
multi-joint, cyclic movements.
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Fig. 2. (A,C) Summed joint torque (A) and joint power (C) and (B,D) individual hip
(broken line), knee (solid line) and ankle (dotted line) joint torques (B) and
joint powers (D) during the stance phase of level walking averaged across all
subjects. Positive torques are extensors and positive powers are energy
generation. Summed torque showed extensor bias throughout most of stance that
was produced primarily by hip and knee extensor torques in early stance and
ankle plantarflexor torque in late stance. Individual joint powers showed that
each joint torque generated and dissipated energy during the stance phase.
Summed joint power showed alternating positive and negative work phases, with
the largest power magnitude being the positive power in late stance.
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Fig. 3. Mean hip, knee, ankle and total joint work in level walking across all
subjects. Values are means ± s.d. Muscles at each joint produced both
negative and positive work during the stance phase of level walking. Net work
was negative at the knee but positive at the hip and ankle. Total net work was
positive at 16.2 J. The magnitudes of negative and positive work were
significantly different at each joint; the asterisk indicates the larger value
(P<0.010).
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Fig. 4. Individual and summed joint torque (A) and power (B) curves during the
stance phases of ramp descent (broken lines) and ascent (solid lines) walking,
averaged across all subjects. Positive torques are extensors and positive
powers are energy generation. Summed torques were similar in shape and
magnitude and showed that both gaits were produced by net extensor torques
across all joints. Hip and ankle extensor torques were larger in ascent
vs descent, whereas knee extensor torque was larger in descent.
Summed powers in ramp descent and ascent were nearly entirely negative and
positive, respectively. The individual joint powers, however, showed that
muscles crossing each joint contributed both negative and positive power and
work to both movements. Negative power occurred primarily at the knee and then
ankle joints in descent whereas positive power occurred primarily at the ankle
and hip joints in ascent. Ramp descent had a 15% shorter stance phase,
partially leading to reduced area under the joint power curves and reduced
muscle work compared to ramp ascent.
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Fig. 5. Mean joint work in ramp gait across all subjects. Values are means ±
s.d. Knee muscles were the primary energy dissipaters in ramp descent,
performing 58% and 81% of the negative and net muscular work, respectively.
Ankle and hip muscles were the primary energy generators in ramp ascent
combining to perform 86% and 95% of the positive and net work, respectively.
Negative work in ramp ascent was relatively evenly distributed among the
muscle groups, whereas positive work in descent was produced primarily (i.e.
62%) by the ankle muscles.
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Fig. 6. Individual and summed joint torque (A) and power (B) curves during the
stance phases of stair descent (broken lines) and ascent (solid lines) walking
averaged across all subjects. Positive torques are extensors and positive
powers are energy generation. Summed torques were similar in shape and showed
that both gaits were produced by net extensor torques across all joints. Hip
and ankle torques were similar in the stair gaits, whereas knee torque had one
larger extensor phase in ascent and two smaller extensor phases in descent. As
in ramp gait, summed powers in stair descent and ascent were nearly entirely
negative and positive, respectively. In contrast to ramp gait, there was
minimal power and work at the hip on the stairs. Energy dissipation in stair
descent was done at the ankle joint in early stance and at the knee joint in
later stance. Stair ascent was produced by positive power and work at the knee
joint in early stance and at the ankle joint in later stance. Stair descent
had an 8% shorter stance phase, partially leading to reduced area under the
joint power curves and reduced muscle work compared to stair ascent.
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Fig. 7. Mean joint work in stair gait across all subjects. Values are means
± s.d. Knee and ankle muscles were the primary energy dissipators and
generators in stair descent and ascent. They performed 92% and 95% of the
negative and net muscular work in descent, respectively and 85% and 87% of the
positive and net muscular work in ascent, respectively. As in ramp walking,
negative work in ramp ascent was relatively evenly distributed among the
muscle groups, whereas positive work in descent was produced primarily (i.e.
73%) by the ankle muscles.
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Fig. 8. Mean total joint work in both ascending and descending gaits (in
|J| m–1 for ramp, and |J|
step–1 for stairs) across all subjects. Values are means
± s.d. Ascent work was 25% (*P<0.010) and 43%
(*P<0.000) greater than descent work in ramp and stair
gait, respectively.
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Fig. 9. Mean normal GRFs (N) for ramp and stairway walking averaged across all
subjects. Descending gaits had larger first maximum forces and greater rates
of force application during the initial portion of the stance phase. These
forces produced higher accelerations of the body mass compared to those in the
ascending gaits.
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© The Company of Biologists Ltd 2007