SPINE Volume 26, Number 12, pp E253–E260
©2001, Lippincott Williams & Wilkins, Inc.
Load Sharing Within a Human Lumbar Vertebral Body
Using the Finite Element Method
Khoa D. Cao, MS, Michele J. Grimm, PhD, and King-Hay Yang, PhD
Study Design. A finite element parametric study was
performed to investigate the structural roles of the verte-
bral cortical shell and the trabecular centrum.
Objectives. To address the debated issue of the rela-
tive load-carrying role of the vertebral cortical shell.
Summary of Background Data. Several experimental
and computational studies have been aimed at quantify-
ing the load-carrying roles of the human vertebral cortical
shell and trabecular centrum. These studies, however,
have supported no consensus.
Methods. A finite element model of three lumbar ver-
tebral bodies was developed to predict the fraction of the
total compressive load acting on the lumbar vertebral
body, under two different loading conditions, that was
supported by the cortical shell. Parametric variations in
vertebral material and geometric properties were exam-
ined to determine how this fraction was influenced by
such changes.
Results. The fraction of the compressive load sup-
ported by the cortical shell was found to be strongly
dependent on the distance from the endplate, increasing
from about 34% at either endplate to approximately 63%
at the midtransverse plane. This fraction was indepen-
dent of the loading characteristics, proportional to the
properties of the cortex, and inversely proportional to the
modulus of the centrum. Additionally, the cortical shell
force fraction was affected significantly by changes in the
overall vertebral geometry.
Conclusions. Our findings indicate that the structural
dominance of the cortical shell and centrum alternate
depending on the location within the vertebral body.
However, as age-related bone loss progresses, the load-
carrying role of the cortical shell could increase
significantly. [Key words: biomechanics, vertebrae, lum-
bar spine, cortical shell, trabecular centrum, cortical cur-
vature, endplate curvature] Spine 2001;26:E253–E260
Increases in fracture incidence are generally accepted as
the consequence of the decrease in overall vertebral
strength that occurs with aging.
14
This decrease in the
overall vertebral strength is commonly attributed to the
reduction in trabecular bone mass, or osteopenia; hence,
most efforts to diagnose spinal osteoporosis have focused
on monitoring the bone mineral density of the centrum.
9
However, the loss of bone strength has been observed to
occur with age much faster than the loss of bone mass,
indicating that other factors are also important to frac-
ture risk assessments.
15
It has been demonstrated that
individuals (both men and women) with a vertebral os-
teoporotic fracture have significantly thinner cortices
than those of the same age who have not sustained one.
31
Furthermore, age-related changes in both material and
geometric properties of the cortical shell and endplates,
such as thinning of the cortical shell and endplates, dia-
metric expansion of the vertebral body (in men), and
increases in endplate curvature, have been observed by
many researchers.
2,14,15,28,37
Fracture occurs when the stresses generated by ap-
plied loads exceed the vertebral ultimate strength. The
loads experienced by the lumbar vertebrae have been
shown to be more than two times body weight during
routine functional activities.
17
These loads are trans-
ferred from one vertebra to the inferiorly adjacent one
via two paths: the major portion through the interverte-
bral disc that connects the two vertebral bodies and the
remainder by the facet joints at the articular process-
es.
1,19,29,36
Within the vertebral body the vertebral loads
are mainly distributed between the cortical shell and tra-
becular centrum. In other words, the overall strength of
the vertebral body depends on the structural contribu-
tion of both components. Hence, understanding their
relative roles and relevance to age-related changes is
helpful in assessing the effect of any medical intervention
on fracture risk. Despite its importance, results from sev-
eral studies, both by experimental and analytic means,
have supported no consensus. The cortical shell force
fraction has been suggested to be as low as 10% and as
high as 75% for healthy individuals and generally higher
for osteoporotic persons.
7,12,13,27,32,37,38
These conflict-
ing results can be partially explained by the difference in
experimental protocols and variations in biologic speci-
mens or analytic assumptions and approaches. Some of
the results by previous studies are summarized as
follows.
Rockoff et al
21
reported that the cortical shell contrib-
uted approximately 45–75% of the vertebral strength
and that more force was transmitted via the cortical shell
in old individuals than in younger ones. This was done by
repeated testing of the specimens before and after the
cortical shell or centrum had been removed at the
midtransverse plane. Although the load used in the ex-
periments was nondestructive, it was not certain if resid-
ual damages had any effect on the findings. Moreover,
the bone had been removed by grinding; therefore, it was
difficult to determine if unintended bone removal had
occurred. Using a different experimental procedure,
McBroom et al
12
reported that the removal of the corti-
cal shell reduced the failure load by approximately 10%,
From the Bioengineering Center, Wayne State University, Detroit,
Michigan.
Acknowledgment date: February 21, 2000.
First revision date: June 6, 2000.
Acceptance date: February 13, 2001.
Device status category: 1.
Conflict of interest category: 12.
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