S. Majumdar et al., HIGH-RESOLUTION MAGNETIC-RESONANCE-IMAGING - 3-DIMENSIONAL TRABECULARBONE ARCHITECTURE AND BIOMECHANICAL PROPERTIES, Bone, 22(5), 1998, pp. 445-454
The purpose of this study was to use high-resolution magnetic resonanc
e (MR) imaging combined with image analysis to investigate the three-d
imensional (3D) trabecular structure, anisotropy, and connectivity of
human vertebral, femoral, and calcaneal specimens. The goal was to det
ermine whether: (a) MR-derived measures depict known skeletal-site-spe
cific differences in architecture and orientation of trabeculae; (b) 3
D architectural parameters combined with bone mineral density (BMD) im
prove the prediction of the elastic modulus using a fabric tensor form
ulation; (c) MR-derived 3D architectural parameters combined with BMD
improve the prediction of strength using a multiple regression model,
and whether these results corresponded to the results obtained using h
igher resolution depictions of trabecular architecture. A total of 94
specimens (12 x 12 x 12 mm cubes) consisting of trabecular bone only w
ere obtained, of which there were 7 from the calcaneus, 15 from distal
femur, 47 from the proximal femur, and 25 from the vertebral bodies.
MR images were obtained using a 1.5 Tesla MR scanner at a spatial reso
lution of 117 x 117 x 300 mu m. Additionally, BMD was determined using
quantitative computed tomography (QCT), and the specimens were nondes
tructively tested and the elastic modulus (YM) was measured along thre
e orthogonal axes corresponding to the anatomic superior-inferior (axi
al), medial-lateral (sagittal), and anterior-posterior (coronal) direc
tions, ii subset of the specimens (n = 67) was then destructively test
ed in the superior-inferior (axial) direction to measure the ultimate
compressive strength. The MR images were segmented into bone and marro
w phases and then analyzed in 3D. Ellipsoids were fitted to the mean i
ntercept lengths, using single value decomposition and the primary ori
entation of the trabeculae and used to calculate the anisotropy of tra
becular architecture. Stereological measures were derived using a prev
iously developed model and measures such as mean trabecular width, spa
cing, and number were derived. Because the spatial resolution of NBR i
mages is comparable to trabecular bone dimensions, these measures may
be subject to partial volume effects and were thus treated as apparent
measures, such as BV/TV, Tb.Sp, Tb.N, and Tb.Th rather than absolute
measures, as would be derived from histomorphometry. In addition, in a
subset of specimens, the Euler number per unit volume was determined
to characterize the connectivity of the trabecular network. There were
significant differences in the BMD, trabecular architectural measures
, elastic modulus, and strength at the different skeletal sites. The p
rimary orientation axes for most of the specimens was the anatomic sup
erior-inferior (axial) direction. Using the fabric tensor formulation,
in addition to BMD, improved the prediction of YM (SI), while includi
ng some of the architectural parameters significantly improved the pre
diction of strength. In comparing MR-derived 3D measures with those ob
tained from 20 mu m optical images (n = 18; 9 vertebrae, 9 femur speci
mens), good correlations were found for the apparent Tb.Sp and Tb.N, m
oderate correlation was seen for the apparent BV/TV, and poor correlat
ion was found for the apparent Tb.Th. Using these higher resolution im
ages, the fabric tensor formulation for predicting the elastic modulus
also showed improved correlation between the measured and calculated
modulus in the axial (SI) direction. In summary, high-resolution MR im
ages may be used to assess 3D architecture of trabecular bone, and the
inclusion of some of the 3D architectural measures provides an improv
ed assessment of biomechanical properties. Further studies are clearly
warranted to establish the role of architecture in predicting overall
bone quality, and the role of trabecular architecture measures in cli
nical practice. Currently, MR techniques may not be used instead of hi
stomorphometry; however, they may provide an ideal platform for assess
ing trabecular architecture in vivo, at multiple skeletal sites longit
udinally, and assist in understanding the etiology of osteoporotic and
aging changes, for studying osteoporosis progression and therapeutic
efficacy. (C) 1998 by Elsevier Science Inc. All rights reserved.