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3-D
Morphology of the Distal Femur Viewed in Virtual Reality
(AAOS 2001 annual
meeting - Scientific Exhibit No. SE28)
Donald G Eckhoff, MD, Denver, CO
Thomas F Dwyer, MD, Denver, CO
Joel M Bach, PhD, Aurora, CO
Victor M Spitzer, PhD, Aurora, CO
Karl D Reinig, PhD, Aurora, CO
Introduction:
The morphologic shape of the distal femur dictates the shape,
orientation and kinematics of prosthetic replacement in total
knee arthroplasty. Traditional prosthetic designs incorporate
symmetric femoral condyles with a centered trochlear groove.
Traditional surgical techniques center the femoral component
to the distal femur and position it relative to variable bone
landmarks. However, failure patterns documented in retrieval
studies13,15, case series 9, and kinematic studies demonstrate
how traditional design and surgical technique reflect a poor
understanding of distal femoral morphology and knee kinematics.
It
has been shown that the flexion/extension (F/E) axis of the
knee is fixed within the femur and that the articular surfaces
of the condyles are circular in profile11,12. Ligament length
patterns are significantly altered by abnormal axis alignment
when using a hinged knee brace 14. It is expected that a malaligned
femoral component would have the same effect in TKA.
The
purpose of this exhibit is to demonstrate with conventional
images and with interactive animations in virtual reality
the three-dimensional shape of the naturally asymmetric distal
femur, illustrating the sulcus axis of the trochlear groove
and flexion axis of the condyles relative to conventional
axes (mechanical, anatomic, epicondylar & posterior condylar
axes). Correlations between the morphologically determined
rotation axes and experimentally determined kinematic axes
are illustrated.
Methods:
Eighty-five mummified cadaveric knees (fig.
1 below left) were measured with a stereotactic micrometer
(fig. 2 below center). The location and orientation of the
sulcus were obtained by repeated horizontal passes of the
stereotactic stylus over the distal femur beginning at the
top of the articular surface and progressing down to the intercondylar
notch (fig.3 below right). With each horizontal pass, the
lowest depression of the trochlea (sulcus) was identified
by the stereotactic stylus and the coordinates were recorded.
After each horizontal pass, the stereotactic device was lowered
by 2 mm to provide sequential horizontal tracings.
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85
cadavers from the University of Colorado Department of Anthropology
collection of skeletal remains were naturally mummified by
burial in natron clay
(fig. 1 above left).
The
stereotactic micrometer, originally designed to localize intra-cranial
lesions in neurosurgery, was modified to hold cadaveric femora
for topographical mapping of the condyles and trochlear groove
(fig.2 above center).
The
stylus of the micrometer moves horizontally and vertically
in millimeter increments to allow measures of depth in millimeters
of the articular surface of the condyles and trochlea in the
horizontal plane
(fig.3 above right).
Ten
cadaveric knees were studied using a 6-degree-of-freedom motion
analysis apparatus1 (fig. 4-7 below) based on a floating coordinate
system10. Initial alignment of the flexion/extension (F/E)
axes of the specimens with the corresponding axis of the apparatus
was performed using the trans-epicondylar axis.
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A
side view of the knee simulator with the femoral unit on the
left and the tibial on the right. The knee is oriented with
the patella pointed down and the tibia parallel to the horizontal.
The femoral carriage swings through a vertical plane to allow
flexion/extension
(fig.
4 above left).
An end view of the knee simulator
looking at the tibial unit from distal to proximal. Movement
of the tibial carriage to the left or right allows for abduction/adduction.
The three large wheels in this image have been replaced by
air bearings to further reduce friction. A downward motion
represents anterior tibial displacement whereas upwards would
be posterior (fig.
5 above, 2nd from left).
Schematic representation of the knee
simulator. The upper image is a top view oriented from posterior
to anterior. The lower image is a side view with the tibial
unit on the left and the femoral on the right (fig.
6 above 2nd
from right).
A
side view of the knee simulator focusing on the details of
the flexion/extension actuation. The hamstring muscle actuator
can also be seen in the upper-right. The axial rotation actuator
can be seen in the foreground to the lower left of the image
(fig.
7 above right).
The
specimens were then passively flexed between -5 (hyperextension)
and 120 under physiologic loads (fig.8 below) while six-degree-of-freedom
(6-DOF) kinematics were measured.
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A
table showing the design load capabilities of the knee simulator.
The design external loads are capable of disrupting the structures
of the healthy knee joint. The muscle loads approach physiologic
levels
(fig. 8 above).
The
femur position was interactively adjusted in the alignment
fixture while observing the coupled abduction/adduction (A/A)
and compression/distraction (C/D) motion during F/E (fig.9
below).
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An
image of the femoral unit of the knee simulator with the femoral
alignment fixture installed. This alignment fixture allows
6-DOF adjustment of the femur with respect to the femoral
unit (fig. 9 above). There is a similar alignment fixture
for the tibia (not shown).
Following
this functional alignment 1,2, passive flexion of the specimens
between -5 (hyperextension) and 120 was repeated while 6-DOF
kinematics were measured. The kinematics of the two alignment
conditions were compared.
Seventy-four
patient knees (fig.10 below left, 11 below right) and 34 volunteer
knees (68 control knees) were evaluated with computed tomography
(CT) 3-5,7-8.
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40
patients (40 knees) with medial compartment osteoarthritis
presenting for total knee arthroplasty were measured by computed
tomography and compared to 40 age matched normal knees (fig.
10 above left)
34 patients (34 knees) with anterior
knee pain were measured by computed tomography and compared
to 34 age matched normal knees
(fig. 11 above right)
A
CT scan of the femoral condyles, immediately proximal to the
notch, and the tibial plateau, immediately proximal to the
tubercle, was obtained in each knee in full extension (fig.12
below left, 13 below right). The extended knee was selected
because this is the only position in which the tibia assumes
a reproducible position in rotation relative to the femur.
Additional CT cuts were obtained through the femoral head,
femoral shaft at the lesser trochanter, and across the malleoli
to determine limb rotation.
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Computed
tomographic scans were performed with the knee in extension
by transversely "cutting" the femur proximal to
the intercondylar notch and the tibia proximal to the tubercle
(fig.
12 above left)
The distal femora and proximal tibial computed tomography
"cuts" were superimposed to measure relative translation
and rotation. The proximal and distal femoral cuts were superimposed
to measure femoral version (fig.
13 above right)
The
morphologic and biomechanical characteristics of the knee
defined in these studies were measured in cyberspace and illustrated
with a computer visualization program as an Interactive Anatomic
Animation (IAA) in three additional cadaveric specimens. These
three cadaveric knees were sectioned with CT into 0.1-1.0
mm slices, digitized, and reconstructed in virtual space (fig.
14-16 below).
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The
transverse image in figure 14a is one of the 1,877, 1 mm spaced,
transverse images of the Visible Human Male. The collection
of 1,877 images forms a volume of photographic data. This
volume can be resliced at any angle to form other cross-sectional
images like the coronal cross-section in figure 14b and the
sagittal cross-section in figure 14c.) (fig.
14 a,b,c above)
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transverse image in figure 15a is a portion of one of the 5,189,
0.33 mm spaced, transverse images of the Visible Human Female.
This transverse image is comparable in resolution to that of
the male in figure 14. Like the male volume, this volume can
also be "resliced" at any angle to form other cross-sectional
images like the coronal cross-section in figure 15b and the
sagittal cross-section in figure 15c. These "resliced"
images are more than three times higher in resolution than the
male counterpart because of the thinner slice thickness for
the female. (fig.
15 a,b,c above) |
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The
transverse image in figure 16a is one of the 2,500, 0.10 mm
spaced, transverse images of a right knee specimen. Like the
whole body volumes, this knee volume can also be "resliced"
at any angle to form other cross-sectional images like the
coronal cross-section in figure 16b and the sagittal cross-section
in figure 16c. These "resliced" images are more
than 90 times higher in resolution than the male and nearly
30 times higher in resolution than the female counterparts
because of thinner slice thickness and higher "in-plane"
resolution. (fig.
16 a,b,c above)
Computer
generated cylinders were "grown" within the confines
of the articular surface of the distal femur to confirm and
illustrate the cylindrical geometry of the condyles as well
as demonstrate the position of the cylindrical axis relative
to conventional axes (mechanical, anatomic, epicondylar &
posterior condylar axes). (fig.
17 below)
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The
femur of the Visible Human Male has been extracted from the
volumetric computed tomography data represented in figure
14. A cylinder was then fit to the osseous surface of the
distal femur. Note that the radius of the cylinder fit to
the medial femoral condyle is slightly larger in radius compared
to the cylinder fit to the lateral femoral condyle but the
center of each cylinder lies on a single axis. (fig. 17 above)
Results:
The sulcus of the trochlear groove lies lateral to the mid-plane
and is oriented between the mechanical and anatomic axes of
the femur (fig. 18 below left,19 below right).
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The
sulcus (lowest point) is a near-linear depression in the trochlear
groove that lies lateral to the midplane defined as the plane
perpendicular to the posterior condylar axis. (fig.
18 above left)
The sulcus is oriented between the traditional mechanical
axis (line joining center of femoral head and center of knee)
and anatomic axis (center of femoral shaft). (fig.
19 above right)
The
cross-sectional center of the femur lies medial and anterior
to the cross-sectional center of the tibia (fig.20 below).
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The
cross-sectional centers of the distal femur and proximal tibia
are not superimposed, but are translated 4+6 mm anteroposterior
and 5+4 mm mediolateral in both normal and pathologic knees
(ostheoarthritic and anterior knee pain). (fig.
20 above)
The tibia is not rotated relative
to the femur in the normal knee but is externally rotated
in the osteoarthritic knee and the knee with anterior pain
(fig. 21 below left). Femoral version is decreased in the
osteoarthritic knee and increased in the knee with anterior
pain when compared to the normal knee (fig. 22 below center,
23 below right).
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In
the extended pathologic knee, there is a rotation of the tibia
to the femur fixed in soft-tissue, a "rotation"
contracture. The tibia is externally rotated to the femur
in both the osteoarthritic knee (4+1 degrees) and the knee
with anterior knee pain (7+1 degrees). There is no rotation
of the tibia to the femur or rotation contracture in the normal
knee. (fig.
21 above left)
The
distal femur is malrotated relative to the proximal femur
in the osteoarthritic knee and the knee with anterior pain
when compared to the normal knee. (fig.
22 above center)
The distal femur of the knee with anterior pain viewed here
by computed tomography is rotated when the proximal femur
is normally oriented to the acetabulum. (fig.
23 above right)
Kinematic analysis demonstrated that
when the coupled A/A motion was eliminated, the functional
F/E axis of the femur was parallel to the F/E axis of the
apparatus. Subsequently, when the coupled C/D motion was eliminated,
the functional F/E axis of the femur was coincident with the
F/E axis of the apparatus. Variability was extremely small
(fig. 24 below).
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Experimental
data for 8 cadaveric knees. This data shows the coupled axial
rotation of the tibial during flexion/extension of the femur
following functional alignment. Note the extremely small variability
attributable to the alignment procedures. (fig.
24 above)
The medial and lateral femoral condyles geometrically approximate
cylinders. Although the medial condyle has a larger radius than
the lateral condyle, both cylinders are oriented around a common
axis. This common "cylindrical" axis represents a
single, fixed, flexion/extension axis in the human knee, which
is distinct from other conventional axes (mechanical, anatomic,
epicondylar & posterior condylar axes).
(fig. 25 below) |
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One
view of the Interactive Animation of the distal femur demonstrated
in this exhibit illustrates the 3-D relationship between the
epicondylar axis (green line) and the "cylindrical axis"
(red line) defined by the center of the cylinders which most
closely reproduce the geometry of the condyles.
(fig.
25 above)
Discussion
and Conclusion:
This study carefully documents the asymmetric
morphologic features of the distal femur and correlates these
features with the kinematics of the knee. The location and
orientation of the femoral sulcus is lateral to the midplane
between the femoral condyles and oriented between the anatomic
and mechanical axes of the femur. The center of the femur
in cross-section is off-set, medial and anterior, to the center
of the tibia. These asymmetric, off-set morphologic features
of distal femur should be incorporated in the design (fig.
26 below) and positioning of prosthetic replacements in the
knee.
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A
femoral component designed with asymmetrical features (patents
#5,681,354 & #5,728,162) addresses the natural asymmetry
of human knee. (fig.
26 above)
This study further documents the asymmetric cylindrical shape
of the condyles and establishes the cylindrical axis of rotation
of the condyles about which the tibia rotates. The measured
kinematic data supports the morphologic findings for a fixed,
cylindrical flexion/extension axis of rotation. This study
provides kinematic and morphologic validation for a single
cylindrical flexion/extension axis of the knee. This scientific
exhibit is the first to illustrate these observations in 3-D
stereo using interactive animations and virtual reality.
(This Project has been funded in whole or in part with Federal
funds from the National Library of Medicine under Contract
No. N01-LM-0-3507.)
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