椎体松质骨的三维构筑学成像研究

目的研究骨量和松质骨显微结构的变化,及其与骨质疏松症骨折发生之间的关系。方法研究采用相对较为成熟的螺旋CT扫描三维重建,并借助工程学上的Euler定律,以活体无创三维成像方法,对小梁骨的结构和连接性进行观察和分析。结果随着年龄的增长,横向排列的骨小梁逐渐消失,纵向骨小梁变细,与周围的小梁逐步失去其连接性;二维横断面图像在小梁连接性描述上有一定的局限性,原因是小梁骨在垂直方向的走向并非规律有序。由于松质骨的显微结构具有不同的类型,它们之间不能等同比较。结论三维结构连接性和连接密度的结果显示板状型的小梁具有较高的连接密度和较小的连接性;而杆状型的小梁则连接密度较低和连接性较好。     

Matrix Concentration of Insulin-like Growth Factor I (IGF-I) is Negatively Associated with Biomechanical Properties of Human Tibial Cancellous Bone Within Individual Subjects

Insulin-like growth factor-I (IGF-I), abundant in bone matrix, is believed to play an important role during bone development and remodeling. To our knowledge, however, few studies have addressed the relationship between the concentration of IGF-I in bone matrix and the biomechanical properties of bone tissue. In this study, forty-five cylindrical specimens of cancellous bone were harvested from six human tibiae and scanned using microcomputed tomography (μCT). The bone volume fraction (BV/TV) was calculated from three-dimensional (3D) μCT images. Mechanical tests were then performed on a servohydraulic testing system to determine the strength and stiffness of cancellous bone. Following mechanical testing, the concentration of IGF-I in bone matrix was measured by using an enzyme-linked immunoabsorbent assay (ELISA). Within each subject, the concentration of IGF-I in bone matrix had significant (P < 0.01) negative correlations with the bone volume fraction, strength, and stiffness of cancellous bone. In particular, the anterior quadrant of the proximal tibia was significantly (P < 0.02) greater in IGF-I matrix concentration and marginally significantly lower in strength (P = 0.053) and stiffness (P = 0.059) than the posterior quadrant. The negative correlations between the cancellous bone matrix concentration of IGF-I and cancellous bone biomechanical properties within subjects found in this study may help us understand the variation of the biomechanical properties of cancellous bone in proximal human tibiae.     

High-Resolution Computed Tomography for Architectural Characterization of Human Lumbar Cancellous Bone: Relationships with Histomorphometry and Biomechanics

The aim of the present study on human vertebral cancellous bone was to validate structural parameters measured with high-resolution (150 μm) computed tomography (HRCT) by referring to histomorphometry and to try to predict mechanical properties of bone using HRCT. Two adjacent vertical cores were removed from the central part of human L2 vertebral body taken after necropsy in 22 subjects aged 47–95 years (10 women, 12 men; mean age 79 ± 14 years). The right core was used for structural analysis performed by both HRCT and histomorphometry. Two cancellous bone specimens were extracted from the left core: a cube for HRCT and a compression test, and a cylinder for a shear test. Significant correlations were found between HRCT and histomorphometric measurements (BV/TV, trabecular thickness, separation and number, and node-strut analysis), but with higher values for most of the tomographic parameters (BV/TV and trabecular thickness determined by HRCT were overestimated by a factor 3.5 and 2.5 respectively, as compared with histomorphometry). The maximum compressive strength and Young’s modulus were highly correlated (ρ= 0.99, p<0.0005). Significant correlation was obtained between bone mineral density (determined using dual-energy X-ray absorptiometry) and the maximum compressive strength (ρ= 0.64, p= 0.002). In addition the maximum compressive strength and architectural parameters determined by HRCT or histomorphometry showed significant correlations (e.g., for HRCT, BV/TV: ρ = 0.88, p<0.0005, N.Nd/TV: ρ= 0.73, p<0.001). The shear strength was significantly correlated with BV/TV (ρ= 0.62, p= 0.002), Tb.Sp (ρ=−0.58, p= 0.004) and TSL (ρ= 0.55, p= 0.006) measured by HRCT. In conclusion, an HRCT system with 150 μm resolution is not sufficient to predict the true values of the structural parameters measured by histomorphometry, although high correlations were found between the two methods. However, we showed that a resolution of 150 μm allowed us to predict the mechanical properties of human cancellous bone. In vivo peripheral systems with such a resolution should be of interest and would deliver an acceptable radiation dose to the patient. Received: 13 October 1998 / Accepted: 16 March 1999     

Maintenance of cancellous bone connectivity in primary hyperparathyroidism: trabecular strut analysis.

We previously demonstrated an increase in cancellous bone volume and trabecular number in patients with mild primary hyperparathyroidism (PHPT). To test the hypothesis that this increase is due to preservation of cancellous bone architecture, we conducted a trabecular strut analysis using a new method that measures trabecular connectivity. Iliac crest biopsies from 37 patients with PHPT, 14 men (28-68 years) and 23 women (26-68 years), were examined histomorphometrically and compared to cadaveric samples from 24 age-matched subjects, 17 men and 7 women. Two-dimensional indices of cancellous structure--node number (N.Nd), terminus number (N.Tm), node to node (Nd.Nd), node to terminus (Nd.Tm), and terminus to terminus (Tm.Tm) strut lengths, and total strut length (TSL)--were measured and the ratio of node number to terminus number (N.Nd/N.Tm) calculated. TSL, N.Nd, and Nd.Nd were significantly higher in patients than in controls. TSL and Nd.Nd, but not N.Nd or Nd/Tm, decreased significantly with age in PHPT, indicating that age-related bone loss in PHPT occurs without significant loss of trabecular connectivity. Two-dimensional indices reflecting connectivity or the amount of bone, that is, N.Nd, Nd.Nd, N.Nd/N.Tm, and TSL, correlated positively with cancellous bone volume (BV/TV) and trabecular number (Tb.N) and negatively with trabecular spacing (Tb.Sp) in both PHPT and controls. Trabecular thickness (Tb.Th) correlated positively with Nd.Nd and Tb.N and negatively with Tm.Tm in PHPT but not in controls. The present data show that in PHPT there is not only greater cancellous bone volume and trabecular number but preserved trabecular connectivity as well. The data further support the hypothesis that in PHPT cancellous bone architecture is maintained.     

Bone Parameters are Improved with Intermittent Dosing of Vitamin D<Subscript>3</Subscript> and Calcitonin

Intermittent combination of an anabolic agent to promote bone formation and an antiresorptive agent that would prevent further bone loss is a theoretically attractive approach for restoring bone mass. We tested the potential of intermittently dosed calcitriol and calcitonin (CT) to restore bone properties in ovariectomized (Ovx) rats. Rats had Ovx or sham surgery at 8 weeks old and 4 weeks later were assigned to experimental groups: (1) sham vehicle, (2) Ovx vehicle, (3) Ovx + parathyroid hormone (PTH, 40 μg/kg), and (4) Ovx + calcitriol (2 μg/kg) + CT (2 μg/kg). Group 3 received PTH every week throughout the study, and group 4 received calcitriol at weeks 1, 3, 5, and 7 and CT at weeks 2, 4, 6, and 8. Dosing was carried out for 8 weeks with serum, and micro-computed tomographic analysis was done at 0, 4, and 8 weeks. Femurs and tibias were used for radiological analyses and for mechanical testing. Dosing with PTH improved bone mass and structure of cancellous bone at metaphyses of tibias and femurs as well as properties of cortical bone including geometry and strength. Intermittent dosing with calcitriol and CT was less potent in correcting loss of cancellous bone relative to treatment with PTH and had no effect on cortical bone parameters. However, intermittent dosing with calcitriol and CT was robust enough to improve cancellous bone mass and structure through bone formation without causing deleterious side effects. Our data provide additional evidence that therapies can be devised to ameliorate the skeletal defects associated with established osteoporosis.     

Cancellous Bone Properties and Matrix Content of TGF-β2 and IGF-I in Human Tibia: A Pilot Study

Transforming and insulin-like growth factors are important in regulating bone mass. Thus, one would anticipate correlations between matrix concentrations of growth factors and functional properties of bone. We therefore investigated the relationships of (1) TGF-β2 and (2) IGF-I matrix concentrations with the trabecular microstructure, stress distribution, and mechanical properties of tibial cancellous bone from six male human cadavers. Trabecular stress amplification (VMExp/σ_app) and variability (VMCOV) were calculated using microcomputed tomography (μCT)-based finite element simulations. Bone volume fraction (BV/TV), surface/volume ratio (BS/BV), trabecular thickness (Tb.Th), number (Tb.N) and separation (Tb.Sp), connectivity (Eu.N), and anisotropy (DA) were measured using 3-D morphometry. Bone stiffness and strength were measured by mechanical testing. Matrix concentrations of TGF-β2 and IGF-I were measured by ELISA. We found higher matrix concentrations of TGF-β2 were associated with higher Tb.Sp and VMExp/σ_app for pooled data and within subjects. Similarly, a higher matrix concentration of IGF-I was associated with lower stiffness, strength, BV/TV and Tb.Th and with higher BS/BV, Tb.Sp, VMExp/σ_app and VMCOV for pooled data and within subjects. IGF-I and Tb.N were negatively associated within subjects. It appears variations of the stress distribution in cancellous bone correlate with the variation of the concentrations of TGF-β2 and IGF-I in bone matrix: increased local matrix concentrations of growth factors are associated with poor biomechanical and architectural properties of tibial cancellous bone.     

Histomorphometric Evaluation of the Recovering Effect of Human Parathyroid Hormone (1–34) on Bone Structure and Turnover in Streptozotocin-Induced Diabetic Rats

The purpose of this study was to determine whether human parathyroid hormone (h-PTH) enhances trabecular bone mass and connectivities that were reduced by streptozotocin (STZ)-induced diabetes in rats. Seven-month-old female Wistar rats were injected with STZ or its vehicle intraperitoneally. All vehicle-injected normal controls were sacrificed 0, 4, 6, 8, 12, 14, and 16 weeks after injection, and one-third of the STZ-injected rats were sacrificed as the baseline controls 4, 6, and 8 weeks after the injection. Eight-week h-PTH (6.0 μg/kg, 6 times a week) or its vehicle treatment by subcutaneous injection for residual diabetic rats was started 4, 6, or 8 weeks after the STZ injection. The rats' proximal right tibiae were processed for undecalcified Villanueva bone staining sections for bone histomorphometry. Furthermore, changes in trabecular connectivities were determined by node-strut analysis. The decreased cancellous bone volume (BV/TV) and turnover in diabetic rats were recovered in all PTH-treated groups. In node-strut analysis, the node-related parameters (N.Nd/TV, NdNd/TV) were significantly increased by PTH when it was administered 4 weeks after STZ injection but were not increased when administration was started after 6 weeks. The results indicated that PTH enhanced bone turnover and bone mass but not trabecular connectivity in the late stage of diabetes in rats. Early treatment of osteoporosis is important in preventing fractures caused by decreased bone strength resulting from decreased trabecular connectivity. Received: 11 May 1999 / Accepted: 20 September 1999     

Relationships between bone structure in the iliac crest and bone structure and strength in the lumbar spine

The purpose of this study was to examine the relationship between histomorphometric variables of cancellous bone structure and ultimate compressive strength (UCS) in the second lumbar vertebra (L2) and to determine whether structural variables in the iliac crest are predictive of the same variables and of UCS in L2. At autopsy, 7.5 mm diameter cores were removed from the iliac crest and from L2 of 29 subjects who had died suddenly without bone disease. Cancellous bone volume (BV/TV, %) was significantly lower in L2 than in iliac crest due to lower trabecular number (Tb.N, per mm) and thickness (Tb.Th, µm). There were significant correlations between iliac crest and L2 for BV/TV, Tb.N and trabecular separation (Tb.Sp, µm), but not for Tb.Th. BV/TV was negatively correlated, and Tb.Sp was positively correlated with age at both sites. Tb.Th was not significantly correlated with age in the iliac crest, but a significant negative correlation was observed in L2. The UCS of vertebral cores was negatively correlated with age. BV/TV and Tb.Th in L2 were positively correlated with UCS in L2. Cortical width and BV/TV in iliac crest were positively correlated with UCS in L2. We conclude that: (1) cancellous bone volume in the iliac crest is higher than in the lumbar spine due to thicker, more closely spaced trabecular plates, (2) the changes in structural variables with age are generally similar in the iliac crest and lumbar vertebra, but trabecular thinning with age is more evident in the spine than in the ilium, and (3) the compressive strength of cancellous bone in the lumbar spine is correlated with histomorphometric variables of bone structure, as measured both in the lumbar spine and in the iliac crest.     

Relationship Between Computed Tomographic Image Analysis and Histomorphometry for Microarchitectural Characterization of Human Calcaneus

The present study aimed to characterize the relationships between several variables reflecting bone microarchitecture assessed by both computed tomographic (CT) image analysis and histomorphometry (conventional CT system) at the calcaneus. A total of 24 cadaveric specimens were studied. The mean age at death was 78 ± 10 years (range, 53–93 years). A total of 15 sagittal sections (1 mm in width and spaced 2 mm apart) were selected for CT analysis; 6 undecalcified sections (7 m) were analyzed for histomorphometry. The histomorphometric analysis was performed on a Leica Quantimet Q570 image analyzer. Features measured by both methods were: bone volume/tissue volume (BV/TV), trabecular thickness (Tb.Th), trabecular separation (Tb.Sp), trabecular number (Tb.N), interconnectivity index (ICI), number of nodes (N Nd), number of terminus (N Tm), node-to-node strut count (NNS), node-to-terminus strut count (NTS), terminus-to-terminus strut count (TTS), marrow space star volume (SV), Euler number (EN), and fractal dimension (FD). The coefficient of correlations values (simple linear regression) between histomorphometry and CT image analysis varied according to the parameters selected. R values were high for BV/TV, Tb.N, and Tb.Sp (range, 0.69–0.90; P < 0.01). R values were less significant for some variables also obtained from the binary image: SV (0.5, P < 0.05) and EN (0.43, P < 0.05). Finally R values were also significant for (two) variables obtained from skeletonized images, i.e., N Nd (0.4, P < 0.05) and N Tm (0.61, P < 0.01). Other correlations were not statistically significant. Moreover, for some variables the relationships between the two methods (CT analysis and histomorphometry) seemed best-described by using nonlinear models. For example, a logarithmic model was more appropriate for SV (r = 0.71, P < 0.01), N Nd (r = 0.52, P < 0.01). Finally the relationship between apparent (App) N Tm and N Tm was most satisfying when using an exponential model (r = 0.64, P < 0.01). In conclusion, trabecular bone structure measures determined on CT images show highly significant correlations with those determined using histomorphometry. The level of correlation varies according to the type of method used for characterizing bone structure, however, and the strongest correlations were found for the most basic features (Parfitts parameters). Finally, for some variables, nonlinear models seem more appropriate.     

Spinal cord injury causes more damage to bone mass, bone structure, biomechanical properties and bone metabolism than sciatic neurectomy in young rats

Introduction Although both spinal cord injury (SCI) and sciatic neurectomy (NX) can cause osteopaenia in young rats, the effects of these two injuries on cortical and cancellous bone may differ. The objective of this study was to compare the effects of SCI and NX on bone weight, bone material property, bone mass, bone geometry, trabecular microarchitecture, mechanical strength and bone turnover in young rats.Materials and methods Thirty six-week-old male Sprague-Dawley rats were randomised into three groups (10 per group): SCI, bilateral sciatic NX and untreated control (CON). All rats were killed on day 21. Bone mineral density (BMD) was studied using dual-energy X-ray absorptiometry (DXA). At death, the right proximal tibial metaphysis and the fourth lumbar vertebra were examined for bone structural geometric analysis by micro-computed tomography (CT) and then processed for histomorphometry to assess bone cell activity. Serum N-terminal telopeptide of type I collagen (NTX) and osteocalcin (OC) levels were analysed by enzyme-linked immunosorbent assay (ELISA). Biomechanical strength properties of the femur and humerus were measured by three-point bending, and the third lumbar vertebra and the proximal end of tibia were tested by compression.Results BMD in the sublesional areas of SCI rats was significantly lower than that of NX rats (proximal tibia, 0.176±0.018 g/cm² vs. 0.224±0.015 g/cm², P<0.001). Bone volume (BV/TV), trabecular number (Tb.N) and thickness (Tb.Th) in the tibial second spongiosa of SCI rats were significantly less than those in NX rats (BV/TV: 7.15±1.18% vs. 12.32±1.83%, P<0.001; Tb.N: 1.23±0.22 vs. 2.38±0.45, P<0.001; Tb.Th: 33.73±5.15 μm vs. 42.80±7.44 μm, P<0.01) and trabecular separation (Tb.Sp: 1,053.37±164.24 μm vs. 748.32±129.36 μm, P<0.01) was significantly greater than in NX rats. Furthermore, poorer trabecular connectivity was found in SCI rats than in NX rats (number of nodes, N.Nd/TV: 1.04±0.09 vs. 3.29±0.53; number of terminus, N.Tm/TV: 28.53±3.17 vs. 21.64±2.31, P<0.01). The bone formation rate of the tibial second spongiosa in SCI rats was significantly higher than in NX rats (2.06±0.13 vs. 1.53±0.09, P<0.001) and, also, the eroded surface in SCI rats was significantly higher than in NX rats (13.42±1.24 vs. 10.36±1.07, P<0.001). In addition, biomechanical tests showed that SCI rats had poorer biomechanical properties of the femur, proximal tibia and fourth lumbar vertebra than in NX rats. There were significantly higher levels of OC in SCI rats compared with NX rats (30.19±1.17 vs. 21.15±1.76, P<0.001). Also, serum NTX levels were significantly higher than in NX rats (51.60±2.61 vs. 33.85±1.93, P<0.001).Conclusion SCI caused more damage to bone mass, bone structure, biomechanical properties and bone metabolism than NX in young rats. This suggests that different mechanisms may underlie osteopaenia following SCI and NX.     

Bone structure of the calcaneus: analysis with magnetic resonance imaging and correlation with histomorphometric study

The purpose of this study was to compare structural measurements obtained from MR images of the calcaneus with those obtained from conventional histomorphometry. Sagittal magnetic resonance (MR) images of the calcaneus of 24 fresh human cadaveric feet were obtained at a spatial resolution achievable in vivo. A three-dimensional gradient echo-sequence was used with a slice thickness of 700 m and in plane resolution of 172×172 m. Structural analysis (four histomorphometric parameters; seven connectivity parameters) was performed in the superior region of the calcaneus. Bone biopsy specimens were obtained in the same area and were sectioned for histomorphometric study. Most of the MR histomorphometric parameters were overestimated (by a factor ranging from 0.8 to 3), as compared with histomorphometry. However, significant (P<0.05) correlations were found between MR imaging and histomorphometric measurements for bone volume/tissue volume, trabecular separation, trabecular number, star volume of the marrow space, node count and terminus count. MR histomorphometric parameters correlated much better with histomorphometry than connectivity parameters. This study suggests that structural parameters characterizing cancellous bone in the calcaneus can be derived from MR images in the limited spatial resolution regime applicable in vivo.     

Dynamic histomorphometric evaluation of human fetal bone formation

We have evaluated dynamic and static parameters of bone formation in femoral metaphyses collected from two human fetuses at 19 weeks of gestation. Tetracycline was administered to the mother at set intervals (2-5-2 day schedule) before interruption of pregnancy. Labels were distinct and sharply linear, suggesting a well organized calcification front at this early stage of mineralization. Mineral apposition rate (MAR) was fastest (4.1 ± 0.3 μm/d) in the periosteal (Ps) envelope, and about half that value in the endosteal envelopes (endocortical: 2.5 ± 0.1, cancellous 2.1 ± 0.1 μm/d). Because cellular activities may vary throughout the metaphyseal area, sections were arbitrarily separated in 0.75 mm layers starting from the growth plate. Three measured parameters decreased rapidly with increasing distance from the physis: Ps MAR: 4.9 to 2.3 μm/d, trabecular osteoid thickness: 5.9 to 1.2 μm, and cartilage volume (CgV/TV): 5.4% to 1.2%. Others did not vary significantly along the metaphysis. Comparison of several static parameters with those measured in five autopsy specimens from full-term infants showed that bone and cartilage volume, and trabecular thickness increased while osteoid thickness and parameters of resorption decreased in the second half of the gestation period. The study indicates that fetal bone matrix mineralization is already highly organized at mid-gestation, and validates the use of histomorphometry to assess bone maturation during early skeletal development.     

Preserved three-dimensional cancellous bone structure in mild primary hyperparathyroidism

By conventional 2-dimensional, histomorphometric analysis, we and others have previously shown that cancellous bone architecture is preserved in mild primary hyperparathyroidism (PHPT). We have now extended these observations to a 3-dimensional analysis using microcomputed tomography (microCT). Iliac crest bone biopsies were analyzed from the following subjects with PHPT: 22 postmenopausal women; 7 premenopausal women; similar numbers of normal pre- and postmenopausal women served as controls. Fifteen men with PHPT were also studied. Postmenopausal women with PHPT demonstrated features of preserved cancellous bone as shown by smaller age-related declines in cancellous bone volume (BV/TV) and connectivity density (Conn.D) and no change in bone surface/total volume (BS/TV) as compared to normal women. In postmenopausal women with PHPT, cancellous bone volume (BV/TV), bone surface/total volume, and connectivity density (Conn.D) were all higher, and trabecular separation (Tb.Sp) was lower than in postmenopausal controls. In sharp contrast to the findings in normal women, no structural variables in PHPT women were correlated with age. Also of note, there was no difference in any 3-dimensional index between women and men with PHPT. We conclude that three-dimensional, cancellous bone microarchitecture is preserved in patients with mild primary hyperparathyroidism.     

松质骨显微结构参数与表观力学强度关系研究进展

通过双能X射线吸收法测量受试者的骨密度,是目前公认的诊断骨质疏松症的方法。然而,越来越多的基础和临床研究发现,骨密度的改变并不能完全解释患者骨强度的改变。大量的骨组织显微结构研究发现,松质骨的骨强度主要由骨密度、骨结构等因素决定。近年来的研究表明,在决定松质骨骨骼强度方面,骨组织的显微结构可以作为独立于骨密度之外的决定性参数。研究松质骨的力学属性和显微结构之间的关系,对于更好的理解骨质疏松的发生和对骨质疏松的诊断具有十分重要的意义。根据文献回顾,松质骨显微结构参数和表观力学强度之间关联性最为显著的为BV／TV、Tb．N、连接性、各向异性、结构模型指数等。同时笔者也对目前这些研究结果在临床上高分辨率CT上的应用情况做一总结。     

Effect of Voxel Size on 3D Micro-CT Analysis of Cortical Bone Porosity

This study examines the impact of voxel size on 3D micro-CT analysis of human cortical bone porosity. The study is based on computed microtomography scans of 10 human anterior femoral midshaft specimens acquired at 5, 10, and 15 μm voxel sizes. Artificial voxel sizes (10, 20, and 40 μm) were generated from the smallest scan voxel size (5 μm) in order to compare actual scanning with artificial degradation, a method employed in other similar studies. Canal volume fraction (CaV/TV), canal surface to volume ratio (CaS/CaV), mean canal diameter (CaDm), mean canal separation (CaSp), canal number (CaN), degree of anisotropy (DA), and canal connectivity density (CaConnD) were calculated from matching volumes of interest for all datasets. Qualitatively, the clarity of the actual scan datasets deteriorated rapidly as voxel size increased. In contrast, within the artificially generated datasets, the clarity of cortical pores was better maintained until the largest voxel size (40 μm). Mean absolute percent error values, correlation coefficients, and paired t-tests revealed a pattern of increasing, and generally significant, differences between the smallest and progressively larger voxel sizes (both scanned and artificial). Relative to the actual scans, however, the artificial datasets were less sensitive to changing voxel size. These findings indicated that subtle changes in voxel size, within the range examined, have a considerable effect on human cortical porosity structural parameters. Additionally, the use of artificially increased voxel sizes should be viewed with caution as they may not reflect what can actually be obtained by scanning.     

Microstructure of the trabecula and cortex of iliac bone in primary hyperparathyroidism patients determined using histomorphometry and node–strut analysis

The purpose of this study was to use histomorphometry to compare the microstructure of trabecular and cortical bone in patients with primary hyperparathyroidism (PH) with that seen in osteoporosis. Histomorphometric and node–strut analyses of iliac bones were performed on 11 female patients with PH (61.3 ± 8.0 years old) and 61 age-matched female patients with involutional osteoporosis (OP) (63.6 ± 5.6 years old). Cancellous bone volume (BV/TV), trabecular thickness (Tb.Th), trabecular number (Tb.N), trabecular separation (Tb.Sp), and wall thickness (W.Th) were not significantly different in these two groups. The bone formation rate (BFR) tended to be higher in the PH group than in the OP group. The number of nodes (N.Nd/TV) and node-to-node strut length (Nd.Nd/TV) were significantly higher in the PH group than in the OP group. The number of termini (N.Tm/TV) and terminus-to-terminus strut length/total strut length (Tm.Tm/TSL) were significantly lower in the PH group; cortical porosity was significantly higher in the PH group than in the OP group. No correlation was found between age and N.Nd in the PH group, but there was a negative correlation between age and N.Nd in the OP group. Our results show that trabecular connectivity was maintained while cortical porosity deteriorated in patients with PH compared with OP. These results suggest that there are microstructural differences between PH and OP in cancellous and cortical bone that result from the bone remodeling sequence in humans. Received: Nov. 20, 1998 / Accepted: March 12, 1999     

Relationship between compressive properties of human os calcis cancellous bone and microarchitecture assessed from 2D and 3D synchrotron microtomography

The aim of this study was to determine the contribution of 2D and 3D microarchitectural characteristics in the assessment of the mechanical strength of os calcis cancellous bone. A sample of cancellous bone was removed in a medio-lateral direction from the posterior body of calcaneus, taken at autopsy in 17 subjects aged 61-91 years. The sample was first used for the assessment of morphological parameters from 2D morphometry and 3D synchrotron microtomography (microCT) (spatial resolution=10 microm). The 2D morphometry was obtained from three slices extracted from the 3D microCT images. Very good concordance was shown between 3D microCT slices and the corresponding physical histologic slices. In 2D, the standard histomorphometric parameters, fractal dimension, mean intercept length, and connectivity were computed. In 3D, histomorphometric parameters were computed using both the 3D mean intercept length method and model-independent techniques. The 3D fractal dimension and the 3D connectivity, assessed by Euler density, were also evaluated. The cubic samples were subjected to elastic compressive tests in three orthogonal directions (X, Y, Z) close to the main natural trabecular network directions. A test was performed until collapse of trabecular network in the main direction (Z). The mechanical properties were significantly correlated to most morphological parameters resulting from 2D and 3D analysis. In 2D, the correlation between the mechanical strength and bone volume/tissue volume was not significantly improved by adding structural parameters or connectivity parameter (nodes number/tissue volume). In 3D, one architectural parameter (the trabecular thickness, Tb.Th) permitted to improve the estimation of the compressive strength from the bone volume/tissue volume alone. However, this improvement was minor since the correlation with the BV/TV alone was high (r=0.96). In conclusion, which is in agreement with the statistic's rules, we found, in this study, that the determination of the os calcis bone compressive strength using the 3D bone volume fraction cannot be improved by adding 3D architectural parameters.     

Relationships Between Static Histomorphometry and Ultrasound in the Human Calcaneus

The aim of this study was to explore the relationship(s) between histomorphometric measurements of cancellous bone structure and ultrasound. Ultrasonic measurements were made using a CUBA research system consisting of a pair of 1 Mhz unfocused transducers. Speed of sound (SOS) and broadband ultrasonic attenuation (BUA) were determined in 15 human cadaveric heels, with mean precision for all measurements coefficients of variation (CV) = 0.6% and 12%, respectively. The calcaneus was dissected and a 7.5 mm transcortical cylinder was removed from the path of ultrasound (US) transmission. The cortices were removed and the remaining cancellous core was sectioned into approximately 5 mm blocks, numbered from 1 to 6 (medial-lateral). Histomorphometric measurements were performed on decalcified, 5 μm-thick sections from blocks 1–6 using an automatic color image analysis system. There were significant differences between blocks 1 and 3–6 for BS/TV, BV/TV, Tb.N, and Tb.Sp (all P < 0.001), all decreasing in a medial-lateral direction (except Tb.Sp), implying that the medial portion of the calcaneus had more trabeculae with less spacing between them than the lateral portion. Furthermore, Tb.Th and BS/BV variables were uniform across the calcaneus, suggesting that individual trabeculae were of similar dimension. We found no significant correlations between US and histomorphometric parameters either averaged over all blocks or by using each block region separately. In conclusion, this study does not support the notion that US measurements of SOS and BUA through the heel reflect calcaneal cancellous bone structure, however, further studies using larger sample sizes may be warranted. Received: 20 August 1998 / Accepted: 1 November 1998