Variations in Cortical Material Properties Throughout the
Human Dentate Mandible
C.L. Schwartz-Dabney
1
and P.C. Dechow
2
*
1
Division of Oral and Maxillofacial Surgery, University of Texas Southwestern Medical Center,
Dallas, Texas 75390-9109
2
Department of Biomedical Sciences, Baylor College of Dentistry, Texas A&M University System Health Science
Center, Dallas, Texas 75246
KEY WORDS ultrasound; bone; biomechanics; development; function
ABSTRACT Material properties and their variations
in individual bone organs are important for understand-
ing bone adaptation and quality at a tissue level, and are
essential for accurate mechanical models. Yet material
property variations have received little systematic study.
Like all other material property studies in individual bone
organs, studies of the human mandible are limited by a
low number of both specimens and sampled regions. The
aims of this study were to determine: 1) regional variabil-
ity in mandibular material properties, 2) the effect of this
variability on the modeling of mandibular function, and 3)
the relationship of this variability to mandibular struc-
ture and function. We removed 31 samples on both facial
and lingual cortices of 10 fresh adult dentate mandibles,
measured cortical thickness and density, determined the
directions of maximum stiffness with a pulse transmission
ultrasonic technique, and calculated elastic properties
from measured ultrasonic velocities. Results showed that
each of these elastic properties in the dentate human
mandible demonstrates unique regional variation. The
direction of maximum stiffness was near parallel to the
occlusal plane within the corpus. On the facial ramus, the
direction of maximum stiffness was more vertically ori-
ented. Several sites in the mandible did not show a con-
sistent direction of maximum stiffness among specimens,
although all specimens exhibited significant orthotropy.
Mandibular cortical thickness varied significantly (P
0.001) between sites, and decreased from 3.7 mm (SD =
0.9) anteriorly to 1.4 mm posteriorly (SD = 0.1). The
cortical plate was also significantly thicker (P 0.003) on
the facial side than on the lingual side. Bone was 50 –100%
stiffer in the longitudinal direction (E
3
, 20 –30 GPa) than
in the circumferential or tangential directions (E
2
or E
1
;
P 0.001). The results suggest that material properties
and directional variations have an important impact on
mandibular mechanics. The accuracy of stresses calcu-
lated from strains and average material properties varies
regionally, depending on variations in the direction of
maximum stiffness and anisotropy. Stresses in some parts
of the mandible can be more accurately calculated than in
other regions. Limited evidence suggests that the orienta-
tions and anisotropies of cortical elastic properties corre-
spond with features of cortical bone microstructure, al-
though the relationship with functional stresses and strains
is not clear. Am J Phys Anthropol 120:252–277, 2003.
© 2003 Wiley-Liss, Inc.
The deficit of information on cortical material
properties and on their directional and regional
variations in the human mandible creates problems
in interpreting the results of experimental and mod-
eling approaches to mandibular function. While lim-
ited information exists on material property vari-
ability in the cortices of human long bones (Cowin,
1989; Katz and Meunier, 1987; Weiner et al., 1999;
Wirtz et al., 2000), less information is available for
the craniofacial skeleton. Studies of mandibular cor-
tical material properties (Arendts and Sigolotto,
1990; Ashman and van Buskirk, 1987; Carter, 1989;
Dechow et al., 1992, 1993) have small numbers of
specimens from limited anatomical regions.
Inadequate information on material properties
complicates the interpretation of mandibular finite
element models (Kabel et al., 1999; Korioth et al.,
1992). Some mandibular finite element models
(Kaewsuriyathumrong and Soma, 1993; Meijer et
al., 1993) assume that cortical and cancellous bone
is isotropic (material properties do not vary by di-
rection), homogeneous, and linearly elastic (linear
relationship between stress and strain is invariant
with changes in time and frequency of loading).
Other models (Hart et al., 1992; Korioth et al., 1992)
incorporate material properties, even though the as-
sumptions about those properties are speculative,
including: 1) direction of maximum stiffness, 2) lack
Grant sponsor: VA Dental Research Fellowship; Grant sponsor:
NIH; Grant numbers: DE05691, DE07256.
*Correspondence to: Paul C. Dechow, Ph.D., Department of Bio-
medical Sciences, Baylor College of Dentistry, 3302 Gaston Ave.,
Dallas, TX 75246. E-mail: pdechow@tambcd.edu
Received 28 June 2001; accepted 29 March 2002.
DOI 10.1002/ajpa.10121
Published online in Wiley InterScience (www.interscience.wiley.
com).
AMERICAN JOURNAL OF PHYSICAL ANTHROPOLOGY 120:252–277 (2003)
© 2003 WILEY-LISS, INC.