cycles. The premise of the test was that the
velocities of the CM is governed by the ground
forces and hence the force-time integral (Impulse)
equals the difference in Momenta ∆ (the
Impulse-momentum theorem):
(1)
over a full cycle, should be zero, as illustrated in
Figure 1. Since the GRFs are vectors, the antero-
posterior (A-P) force component was selected as the
most adequate to be used for such validation of the
results.
According to Newton’s 2
nd
Law, for a system,
the ground reaction forces and the gravitational force
are driving the center of mass of the body;
∑
G
(2)
Since the impulse of the driving forces equals the
difference in mass times velocity, the force-time
integral between those two points, in rhythmic gait,
must be zero. Nevertheless, small variations between
cycles are expected and therefore absolute zero is
not a feasible expectation.
The decision to use the A-P component for
validation of the consistency is due to the authors’
observation that human gait is less cyclical in the
medio-lateral (M-L) and the measured vertical force
is inconvenient to use, because of the body weight
superposition. Moreover, because the A-P force is
responsible for the forward progression of the body
it is more likely to reflect deviations from rhythmic
steady state gait due to environmental biases.
Previously reported results of the study were
obtained from 28 adults with normal and
pathological gait. Consistency was defined as the
sum of the A-P impulse over one full gait cycle
divided by the absolute values of impulse for both
the braking and propulsion forces, Figure 1 and
Equation (2) describe the calculation:
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(3)
When looking at Figure 1 and Equation (3) it is clear
that the contribution of impulse 1; the impulse of the
right foot from the time of the left foot heel strike to
when the right foot toes off, is not accounted for in
the calculation.
This is because only 2 force plates were available
and the assumption made was that the areas denoted
as 1 and the dashed part of area D are almost
equivalent. The consistency threshold value was
determined to be 7.3% meaning that values greater
than 7.3% for the gait cycle would be considered
Figure 1: The GRFs in the A-P direction during two force
plate strikes of an able bodied individual. HS stands for
heel strike and TO for toe off. ‘l’ and ‘r’ stand for the left
and right sides. T represents the time of duration of the
gait cycle.As depicted in the illustration of figure (1),
consistency was calculated over two force plate strikes, for
both legs, left and right.
inconsistent and should be removed from further
analyses. Clinical gait analysis is commonly
performed in children with cerebral palsy (CP), and
even though the GRF data is typically relatively
underutilized in comparison to kinematic data it can
provide a useful tool for ensuring the data used is
representative. Currently the method used for
ensuring representability is by averaging a number,
usually three, trials of gait analysis. In the current
study, the above approach was applied to three
groups of children: typically developed children
(TD), children with diplegic CP (DCP) and children
with hemiplegic CP (HCP) to determine the utility
of the gait consistency test.
2 METHODS
Subjects: Retrospective data from a sample of 53
ambulatory children who underwent gait analysis
testing at Shriners Hospital for Children (SHC) –
Philadelphia, Motion Analysis Laboratory from
2001-2006 was used in this analysis. The first group,
TD, consisted of 8 males and 8 females, 7-17 years
of age (Mean=11.2, SD= ±2.1). The second group,
DCP), consisted of 8 males and 8 females, 9-17
years of age (Mean=12.5, SD= ±2.0). The third
group, HCP, with left (n=8) or right (n=13) sides
affected, consisted of 10 males and 11 females, 10-
17 years of age (Mean=12.9, SD= ±2.3). The
analysis included 2 walking trials for each subject
and an average of 2 gait cycles per trial.
Data Collection: Data were obtained from
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