LONG TERM EFFECTS OF FES-ASSISTED WALKING
ON DYNAMIC STIFFNESS OF SPASTIC ANKLE
M.M.Mirbagheri1,2,3, M.Ladouceur4, H.Barbeau4, and R.E.Kearney1
1Dept. of Biomedical Engineering, McGill University,
Canada, 2Dept. of Physical Medicine and Rehabilitation, Northwestern
University, USA, 3SMPP, Rehab Institute of Chicago, and 4School
of Physical and Occupational Therapy, McGill University, Canada
The effects of long-term
Functional Electrical Stimulation (FES) assisted walking on ankle dynamic stiffness
were examined in spinal cord injured (SCI) subjects with incomplete motor
function loss. A parallel-cascade system identification method was used to
identify intrinsic and reflex contributions to dynamic ankle stiffness at
different positions with subjects instructed to remain relaxed. Intrinsic
stiffness dynamics were well modeled by a linear second-order model relating
intrinsic torque to joint position. Reflex stiffness dynamics were accurately
described by a linear, third order model relating half-wave rectified velocity
to reflex torque. We examined four SCI subjects before and after long-term use
FES-assisted walking (>16 months). Both reflex and intrinsic stiffness
decreased in
Functional Electrical Stimulation (FES) has been used to replace lost
descending control and restore a variety of movements, including walking.
A number of studies have examined the therapeutic effects of long-term
Recently, we presented a method for distinguishing the relative contributions of intrinsic and reflex mechanisms to overall mechanics. The modulation of reflex stiffness with level of tonic contraction and with ankle position [5] indicated that ankle mechanics are abnormal in SCI subjects and pathological muscle tone is due to enhanced reflex gain and intrinsic stiffness.
The objective of this study was to use this quantitative, objective method to examine the effects of long-term FES-assisted walking on intrinsic and reflex dynamic stiffness in spastic subjects.
Nine SCI
subjects (4 females, 5 males) were initially included in this study. Following
a four-week initiation program on the proper use of the
The CPN stimulation was provided by one of three
stimulators, depending on the required number of channels and availability of
the devices. When the subject required stimulations of the quadriceps or
stimulation of both CPN the subjects were provided with a Quadstim stimulator
(Biomotion Inc.). If the subject needed only one channel of stimulation the
subjects were fitted with either a Unistim (Biomotion Inc.) or Mikrofes (
The perturbation amplitude that produced the maximum reflex torque was
determined for each subject. A series of pseudorandom binary sequences with
this amplitude (varied between 0.025 rad and 0.035 rad) and a
switching-interval of 125ms were applied to perturb the ankle at different
angles in the range of motion when subjects remained relax.
Intrinsic and reflex contributions to the ankle stiffness dynamics were separated using a new parallel-cascade identification method [6] in which:
(1) Intrinsic stiffness dynamics were estimated in terms of linear, dynamic impulse response functions (IRF) relating position and torque. This IRF was convolved with the position signal to predict the intrinsic torque, which was subtracted from the observed torque to leave the reflex torque.
(2) Reflex stiffness dynamics were estimated by determining the IRF between half-wave rectified velocity and the reflex-torque as the output, using Hammerstein identification methods [6].
Non-linear least squares methods were used to fit parametric models to the IRFs as follows:
(1) The intrinsic compliance dynamics were
computed from the intrinsic stiffness IRF and well defined by a linear,
second-order high pass system
(2) The linear, dynamics of the reflex
stiffness were well described by a third order system.
Intrasubject
reliability was generally high (r>80), indicating that the method can be
used to track changes in ankle mechanic with time.
Only three of the seven intrinsic and reflex stiffness parameters
changed consistently with FES; intrinsic stiffness gain (K), viscosity (B)
and reflex stiffness gain (
). Figure 1 shows the variation with position of these
parameters for one FES subject. All
parameters were significantly larger before (pre-FES) than after (post-FES)
long-term FES-assisted walking (p<0.002). As reported previously, these
parameters increased monotonically with dorsiflexion [5].
The percentage changes in parameters were shown to demonstrate the
effects of FES-assisted walking. Percentage changes in K and B were
obtained by dividing the pre-post difference by the pre-FES value. Figure
3&4 show these changes as a function of position for all five subjects. K
decreased at all position for FES subjects by an average of 45%±12% (Figure 2), whereas it decreased by the
average of only 8%±16% for the control subject.
Similarly, B decreased by an average of 25%±20% for FES subjects, but increased by 80%±43% in the control subject (Figure 3).

Figure 1: Intrinsic
stiffness gain (K) and viscosity (B) and reflex stiffness gain
for Pre- and Post-FES
as a function of position one FES subject.

Figure 2:
Percentage change in intrinsic stiffness gain (K), following
FES-assisted walking, as a function of position in all subjects

Figure 3:
Percentage change in intrinsic viscous parameter (B), following
FES-assisted walking, as a function of position in all subjects.
Figure 4 shows the percentage change in GR as a
function of position in all subjects. GR decreased through
ROM in the FES subjects by an average of 53%±10%, whereas it increased by 45%±55% for the control subject.
This study is the only investigation we aware of examining the effects of long term FES-assisted walking on intrinsic and reflex dynamic stiffness in spastic subjects. The system identification method used here quantifies joint mechanical properties objectively, and separates the intrinsic and reflex components. The major finding was that both reflex and intrinsic stiffness decreased following FES-assisted walking.
The decrease in
reflex and intrinsic gain could be due to a variety mechanisms related to FES
(CPN stimulation) and/or walking. CPN stimulation could act through reciprocal
inhibitory mechanisms by increasing the activity of tibialis anterior muscle.
This would not only prevent hypoactivity of this muscle but also decrease
hyperactivity of triceps surae muscles. Hence, as found in this study, the
intrinsic properties of triceps surae muscle could change because of changes in
the activity of those muscles caused by long term FES-assisted walking.
The findings suggest that FES-assisted walking, originally designed to facilitate locomotion, may have therapeutic applications since its use appears to reduce abnormal joint stiffness.

Figure 4:
Percentage change in reflex stiffness gain
, following FES-assisted walking, as a function of position
in all subjects.
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Supported
by a grant from the MRC of Canada and NSERC.