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(Radiology. 2000;217:179-187.)
© RSNA, 2000


Experimental Studies

CT of the Middiaphyseal Femur: Cortical Bone Mineral Density and Relation to Porosity1

Valérie Bousson, MD, Catherine Bergot, PhD, Alain Meunier, PhD, Frédérique Barbot, MD, Caroline Parlier-Cuau, MD, Anne-Marie Laval-Jeantet, PhD and Jean-Denis Laredo, MD

1 From the Laboratories of Experimental Radiology and Synovial Pathology (V.B., C.B., F.B., C.P.C., A.M.L.J., J.D.L.) and Orthopedic Research (Pr Laurent Sedel) (A.M.), Faculty of Medicine, Lariboisière-Saint-Louis, 10, avenue de Verdun, 75010 Paris, France; and the Department of Musculoskeletal Radiology, Assistance Publique-Hôpitaux de Paris, Hôpital Lariboisière, France (V.B., C.P.C., J.D.L.). Received September 15, 1999; revision requested October 21; revision received January 4, 2000; accepted February 11. Supported in part by the Assistance Publique-Hôpitaux de Paris, France, and the Centre National de la Recherche Scientifique, Paris, France. Address correspondence to V.B. (e-mail: vbousson@free.fr).


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
PURPOSE: To determine whether computed tomography (CT) can be used to quantify age- and site-related changes in cortical bone mineral density (cBMD) at the middiaphyseal femur and whether cBMD differences are related to intracortical porosity.

MATERIALS AND METHODS: Cortical bone specimens from 163 femurs were studied with CT and microradiography. Femurs were from 77 males and 86 females in a white anthropologic collection covering a broad age spectrum. In each sample, the cBMD was measured in the entire cortical width and in periosteal, midcortical, and endosteal subregions of interest. Age- and site-related changes in cBMD were tested for significance by using a two-way analysis of variance for both sexes. By using linear regression, cBMD was compared with porosity in the entire cortical width and in each subregion.

RESULTS: There were significant age-related differences in cBMD (P < .001 in females, P = .008 in males). In addition, cBMD values were significantly different between the three cortical subregions (P < .001 for both sexes), decreasing from the periosteum to the midcortex to the endosteum. The cBMD values were closely related to porosity, and porosity contributed to 71.6% of the variance in cBMD in the overall population.

CONCLUSION: CT is effective in the measurement of age- and site-related changes in cBMD. Decreases in cBMD are closely correlated with increased cortical porosity.

Index terms: Bones, mineralization, 444.1295, 444.56 • Bones, radiography, 444.123, 444.1292 • Computed tomography (CT), quantitative, 444.1211, 444.123 • Femur, CT, 444.1211 • Osteoporosis, 444.56


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Fracture of the proximal femur is an important public health problem and a major cause of morbidity and mortality in elderly persons (1). Decreased bone mineral density, as measured at dual-energy x-ray absorptiometry, appears to be a major determinant of bone fragility (24). However, there is considerable overlap in integral bone mineral density values measured at dual-energy x-ray absorptiometry between subjects with hip fractures and those without hip fractures (5). Computed tomography (CT) can also be used to measure bone mineral density, but, to our knowledge, there is no clinically accepted CT technique for hip densitometry (6). However, compared with dual-energy x-ray absorptiometry, CT provides additional information, including true (as opposed to projectional) volumetric density values and separate measurements of trabecular and cortical bone (7). Separate evaluation of the cortical bone of the proximal femur may be critical for predicting and understanding proximal femoral fractures. Mechanical testing of excised femoral necks has shown that the cortex contributes 40%–60% of the overall strength of the femur (8). Similarly, finite element modeling has suggested that, in the femoral neck region, cortical bone supports 50% of the stresses associated with normal gait (9). Also, hip fractures start in the cortical shell, not in the trabecular bone (10).

An important parameter of cortical bone strength is the percentage of void volume or porosity (1113). McCalden et al (13) showed that age-related deterioration of the mechanical properties in the proximal femoral cortex were highly related to increased porosity and that changes in porosity accounted for 76% of the reduction of strength in the proximal femur. In addition, several authors have found greater cortical porosity in patients with femoral neck fractures compared with age-matched control subjects without femoral neck fractures (1416).

To better define the contribution of CT in the evaluation of femoral cortical bone, we conducted an in vitro study. We first determined whether CT allowed us to measure age- and site-related changes in cortical bone mineral density (cBMD) values, and then we looked for a correlation between cBMD values and intracortical porosity in 163 specimens of human femoral cortex.


    MATERIALS AND METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Specimens
Femoral cortical bone specimens from 86 female and 77 male Caucasians (white people) who died between 1910 and 1935 were obtained from the Museum of Anthropology at the University of Coimbra, Portugal. The bones were from skeletons that had been dug up, cleaned, numbered, and stored in boxes at the end of burial plot terms of 5–10 years. The age of the subjects at death ranged from 11 to 96 years, with all decades represented. Details on age and sex distribution in each age group are given in Table 1. Mean age was not significantly different between males and females (Student t test, P = .11). Causes of death were available in every subject and included a mix of immediate and underlying causes, including bronchopulmonary disease (n = 51, including pneumonia and pulmonary tuberculosis), heart disease (n = 32), cerebrovascular disease (n = 14), neoplasms (n = 15), infections (n = 16), gastrointestinal disease (n = 8), cirrhosis (n = 2), renal disease (n = 4), cachexia (n = 3), seizures (n = 3), injuries (n = 3), drowning (n = 2), natural causes (n = 7), and other causes (n = 3).


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TABLE 1. Age Distribution of the Population
 
The femurs were subjected to gross examination (by C.B.) to rule out femoral fracture and severe hip arthritis and to radiographic examination (by V.B.) to rule out femoral tumor. Then, a trephine was used to remove an 8-mm-diameter bone cylinder, perpendicular to the shaft axis, from the anterior cortex of the middiaphysis of the right femur. The specimens were embedded in polyester plastic resin with a marker on the periosteal side and were cut in half at a right angle to the femoral shaft axis. Half of the specimen was used for this study. The specimens were macroscopically imaged at CT. A 100-µm-thick transverse section of each specimen, perpendicular to the axis of the femoral shaft, was cut by using a low-speed saw (Isomet 11-1180; Buehler, Evanston, Ill). The sections were microscopically imaged at microradiography.

Image Acquisition
CT.—All embedded specimens were imaged in air by using a fourth-generation CT scanner (Somatom Plus 4; Siemens, Erlangen, Germany) with the following operating parameters: small target, 80 kV, 225 mA, 1-second scanning time, and 1-mm section thickness. By using a scout image as a guide, a section passing through the center of the oriented specimen and parallel to the main axis of the femoral shaft was obtained in each specimen. To check for apparatus stability and to provide a calibration standard for CT number conversion, specimens were simultaneously imaged with a mineral reference phantom comprising two components, water-equivalent plastic and bone-equivalent plastic containing 200 mg calcium hydroxyapatite per milliliter (17). The phantom was placed under the specimen. A 1-cm-thick foam pad was placed between the specimen and phantom to avoid an air gap and, thereby, to limit beam hardening and radiation scattering. After acquisition, the images were reconstructed by using a pixel size of 97 µm (field of view, 50 x 50 mm; matrix, 512 x 512) and the SP 50 algorithm (Ramachandran-Lakshminarayanan kernel [18]). Calibration of the apparatus was performed before the first acquisition and then at intervals of 20 acquisitions.

Microradiography and microscopic measurement.—The 100-µm-thick sections were examined at microradiography by using an x-ray tube (CGR Sigma 2060; CGR-GE, Buc, France) operating with 12 kV, 5 mA, and a 15-minute exposition time. A high-spatial-resolution x-ray film (SO-343; Eastman Kodak, Rochester, NY) was placed 10 cm from the target. No aluminum step wedge was used. The exposed film was mounted on glass slides, and the microradiographs were digitized by using a camera (3CCD-Objective, Sony, Tokyo, Japan; AF micro NIKKOR 60 mm, Nikon, Champigny-Sur-Marne, France) linked to an image analysis system (Qwin; Leica Mikrosysteme Vertrieb; Bensheim, Germany). The full width of the specimen from the periosteum to the endosteum was contained within a field of 736 x 574 pixels. The system was calibrated by acquiring an image of a scale with 10 divisions at 1-mm intervals. Pixel size was 1.35 µm.

Image Analysis
CT.—Within each section, density was measured in three spherical subregions of interest, namely, the periosteal, the midcortical, and the endosteal subregions (Fig 1). In all specimens, each subregion of interest was marked once by the same author (V.B.). The midcortical subregion was in the center of the specimen, and the other two subregions were on either side of the midcortical subregion. Each subregion measured 1 mm2 in area and contained 83 pixels. The mean and SD of the pixel values were converted from Hounsfield units to bone units (milligrams of hydroxyapatite per milliliter) on each image and were, respectively, the cBMD and cBMD SD. In addition, the cBMD and cBMD SD were measured within a semiautomatically marked rectangular area that corresponded to the entire cortical width and that was placed inside the boundaries of the cortex. Accuracy in the placement of regions of interest was enhanced by using a threefold magnification of the image, and care was taken to avoid approaching the cortical rim.



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Figure 1. CT image obtained through the center of an embedded cortical bone specimen, which is orientated with periosteum on the right (*) and endosteum on the left, shows the spherical subregions of interest (arrows) in the periosteum (1), midcortex (2), and endosteum (3) with pixel values (mean and SD). CT phantom placed below the specimen with interposition of a 1-cm-thick cushion is not depicted, as the image is magnified for region-of-interest placement.

 
The reproducibility of cBMD values measured at CT was tested by one author (V.B.), who examined a series of 23 specimens twice, with an interval of 1 month. Coefficients of variation encompassed the scanning procedure and placement of regions of interest.

Microradiography and microscopic measurement.—Microradiographs were analyzed by using an image analysis system (Qwin; Leica) and a homemade program (Visual Basic; Microsoft, Redmond, Wash). The procedure was automated. To allow contour digitalization, the operator (V.B.) used the mouse to place several points on the periosteal and endosteal boundaries. Before the study began, a consensus was developed (by C.B., A.M., and V.B.) regarding placement of the endosteal boundary in specimens with an endosteal aspect that had trabeculae; bone areas with trabeculae at the endosteal aspect were not considered part of the cortex.

Measurements obtained within traced boundaries were cortical thickness (micrometers), area of cortex (square micrometer), area of cavities (square micrometer), and cavity to periosteum distance (micrometers). According to Laval-Jeantet et al (19), bone porosity is defined as the ratio of total cavity area (Haversian and vascular canals, lacunae) to entire area of the cortex. Separation of bone tissue from void was achieved with automatic thresholds. The operator could control the procedure and remove artifacts such as cracks that otherwise would have been considered cavities. All results were entered into a spreadsheet (EXCEL version 5.0; Microsoft). The percentage of void in the periosteal, midcortical, and endosteal subregions was calculated by dividing cortical thickness into three regions of equal width.

The reproducibility of these measurements was tested by one author (V.B.), who examined a series of 23 specimens twice, with an interval of 3 weeks.

Statistical Analysis
Coefficients of variation for cBMD values measured at CT and for microscopic parameters were calculated according to the procedures of Glüer et al (20).

All experimental data were separately compiled in females and males as the mean and SDs in 10-year age groups. Because there were only four men older than 80 years and three women older than 90 years, we used 70–99 years and 80–99 years as our oldest age groups in men and women, respectively.

The cBMD values were studied by using analysis of variance (ANOVA). For each subregion (periosteal, midcortical, and endosteal), two-way analysis of variance for two between factors (sex and 10-year age group) was used to investigate sex- and age- related differences in cBMD. In addition, for each sex, two-way analysis of variance for one within factor (cortical subregion) and one between factor (10-year age group) was used to investigate age- and site-related differences in cBMD and different age-dependent profiles among the three sites. For each sex, two-way analysis of variance for one within factor (cortical subregion) and one between factor (10-year age group) was also used to study age- and site-related differences in porosity.

Relationships between porosity were microscopically assessed in total cortex and in the endosteal, periosteal, and midcortical subregions; cBMD values within each of these four regions were assessed by means of linear regression.

Linear regression analysis was also performed to assess the relationship between cBMD and cBMD SD and to determine age trends in cBMD, cBMD SD, cortical thickness, and intracortical porosity. Values of r quoted for the regression analysis refer to the coefficient of correlation. All tests were two-sided with a significance level equal to .05, and analyses were performed by using STATVIEW 5.0 (Abacus Concepts, Berkeley, Calif).


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Cortical Density
Coefficients of variation for cBMD values measured at CT were 2.50% in the entire cortical width, 2.73% in the periosteal subregion, 1.84% in the midcortical subregion, and 3.32% in the endosteal subregion. The cBMD values measured at CT (mean and SD of the pixel values within the regions of interest) in each 10-year age group are listed in Table 2. Figures 2 and 3 show cBMD values in the three cortical subregions in each of the 10-year age groups for females and males, respectively.


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TABLE 2. Values of cBMD and cBMD SD
 


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Figure 2. Line graph depicts the mean cBMD for periosteal ({square}), midcortical (), and endosteal ({circ}) subregions in females in each age group. SDs are listed in Table 2. Periosteal cBMD values are higher than those of the other subregions (except in the 40-49-year age group), and endosteal cBMD values are lower than those of the other subregions. Thus, a cBMD gradient decreases from the periosteum to the endosteum. From the 4th decade, cBMD decreases with advancing age in all three subregions and is most marked in the endosteal subregion. HA = hydroxyapatite.

 


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Figure 3. Line graph depicts the mean cBMD for the periosteal ({square}), midcortical (), and endosteal ({circ}) subregions in males in each age group. SDs are listed in Table 2. As in the females, a cBMD gradient is observed from the periosteum to the endosteum. In all three subregions, age-related decrease in cBMD is less marked in males than in females. In contrast to the females, the males do not have a larger age-related cBMD decrease in the endosteal subregion compared with the other subregions. HA = hydroxyapatite.

 
In the three subregions, we found that (a) cBMD decreased with advancing age (all P < .001); (b) the effect of sex was not significant (periosteal subregion, P = .16; midcortical subregion, P = .60; endosteal subregion, P = .12); and (c) in the periosteal subregion, age-related differences in cBMD were different in males and females (P = .02).

In addition, when the age-dependent changes in the three sites were analyzed for each sex, analysis of variance in males demonstrated (a) age-related differences in cBMD (P = .008), (b) site-related differences in cBMD (P < .001), (c) no significantly different age-related changes in cBMD across the three subregions (P = .7 for the interaction). In females, age- and site-related differences were also found (P < .001 for both effects), but the age-related difference in cBMD varied significantly across the three subregions (P = .002 for the interaction); the decrease in cBMD with advancing age was larger in the endosteal subregion.

Relationships assessed by means of linear regression between age and cBMD values in the regions of interest are listed in Table 3. In both sexes in all regions of interest, cBMD values decreased significantly with advancing age. This decrease was less significant in males than in females. The relationship between cBMD and age was closest in the endosteal subregion in females (r = -0.65) (Fig 4) and in the midcortical subregion in males (r = -0.29).


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TABLE 3. Results of Linear Regression Analysis
 


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Figure 4. Plot of the linear regression model shows that endosteal cBMD decreases significantly with age. HA = hydroxyapatite.

 
In females, the cBMD SD in all subregions of interest increased significantly with advancing age (Table 3). In males, cBMD SD was not significantly correlated with age (Table 3). In both sexes in all regions, cBMD SD increased when cBMD decreased, with stronger correlations in females. Coefficients of regression in males and females, respectively, were -0.52 and -0.80 in the periosteal subregion, -0.63 and -0.64 in the midcortical subregion, -0.45 and -0.70 in the endosteal subregion, and -0.73 and -0.68 in the entire cortical width (all P < .001).

Intracortical Porosity and Cortical Thickness
Coefficients of variation for measurements of microscopic parameters were 0.86% for cortical thickness, 0.64% for the bone fraction (ie, fraction free of empty space), 5.32% for total cortical porosity, 12.55% for periosteal porosity, 13.06% for midcortical porosity, and 8.15% for endosteal porosity.

Mean total intracortical porosity and cortical thickness in each 10-year age group in females and males are listed in Table 4. Periosteal, midcortical, and endosteal porosity are shown in Figures 5 and 6.


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TABLE 4. Measured Values of Microscopic Parameters
 


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Figure 5. Bar graph depicts mean porosity of the periosteal (white bars), midcortical (black bars), and endosteal (gray bars) subregions in females in each age group. Porosity increases with age, especially in the endosteal and midcortical subregions.

 


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Figure 6. Bar graph depicts mean porosity of the periosteal (white bars), midcortical (black bars), and endosteal (gray bars) subregions in males in each age groups. Porosity increases with age in the three cortical subregions.

 
Analysis of variance in males and females demonstrated (a) age-related differences in porosity (P < .001), (b) site-related differences in cBMD (P < .001), and (c) no significantly different age-related changes in porosity across the three subregions (P = 0.31 and 0.15 for the interaction in males and females, respectively).

Total cortical porosity increased significantly with advancing age in females (r = 0.72; P < .001). A similar but weaker correlation was found in males (r = 0.37; P = .001).

An age-related decrease in cortical thickness was observed in females (r = -0.46; P < .001). In males, cortical thickness did not decrease significantly with advancing age (r = -0.19; P = .09). Coefficients of correlation are listed in Table 3.

Relation Between Density and Porosity
Correlations between age, microscopically assessed porosity, and cBMD values measured at CT in males and females are summarized in Table 3. With linear regression, all cBMD were found to be negatively correlated with porosity in both males and females (Table 3, Figs 79); correlations were closest in males. Total intracortical porosity accounted for 71.6% of the variance in cBMD values within the entire cortical width in the overall population. All cBMD SD values significantly increased with porosity in both females and males (Table 3).



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Figure 7. Linear regression plot shows that cBMD in the entire cortical width and total intracortical porosity in the overall population (n = 163) are closely and significantly correlated (P < .001). Porosity accounts for 71.6% of the variance in cBMD in the overall population. HA = hydroxyapatite.

 


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Figure 8. Linear regression plot shows that cBMD in the entire cortical width and total intracortical porosity in males are closely and significantly correlated (r = -0.86, P < .001). HA = hydroxyapatite.

 


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Figure 9. Linear regression plot shows that cBMD in the entire cortical width and total intracortical porosity in females are closely and significantly correlated (r = -0.83, P < .001). HA = hydroxyapatite.

 

    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
We found that CT was successful in the measurement of age- and site-related cBMD changes in the femoral cortex. The cBMD values decreased significantly with advancing age and varied significantly across the cortical subregions, decreasing from the periosteum to the endosteum. Furthermore, age- and site-related cBMD changes were closely correlated with intracortical porosity, and increased intracortical porosity contributed up to 71.6% of the variance in cBMD in the overall population.

Among the strengths of our study is that these results were obtained in a large number of specimens (n = 163) from a homogeneous population of subjects with a broad age range. In addition, to our knowledge, our study findings are the first to show that cBMD values measured at CT reflect intracortical porosity.

Our study has several limitations. First, the source of the study specimens was an anthropologic collection that may not reflect the current situation. However, the specimens were from a relatively recent and well-defined rural population; for each member, age, sex, and cause of death were available.

Second, the study specimens were removed from the anterior cortex at the middle of the femoral shafts, which is not the site at which hip fractures occur and which is not examined at dual-energy x-ray absorptiometry. Therefore, data concerning these specimens cannot offer new insights into the values established at dual-energy x-ray absorptiometry. We chose this site because it is free of muscular insertions and because it is easy to define (allowing reproducible extraction). In addition, the cortex is thick at this site, providing good conditions for CT measurements. The same site was also used in many earlier studies of femoral cortical bone (11,12,2125).

Third, the calibration phantom used in our study was not specifically designed for cBMD measurements, and the concentrations of bone equivalent in its two components were 0 and 200 mg/mL, which are different from cBMD values. However, similar phantoms have been widely used in the evaluation of cortical bone (7,22,26,27).

Fourth, coefficients of variation for microscopically assessed porosity were high. However, they corresponded to a relative precision error. The corresponding absolute precision errors were less than 0.6 % and did not affect the relationship between density and porosity.

The first point addressed by our study concerned the CT technique. Previous studies (28,29) focused on inaccuracies of cBMD values measured at CT; these inaccuracies were found to be caused mainly by limited spatial resolution and partial volume effects. These inaccuracies have limited the use of CT in the evaluation of the proximal femur, particularly the neck, where the cortex is relatively thin. At the proximal femur, there are large areas of trabecular bone, and it is relatively easy to select an adequate region of interest for obtaining a mean CT value in cancellous bone. The situation is different in cortical bone, which is subject to partial volume averaging effects. Partial volume effects tend to decrease CT numbers to the values corresponding to those of surrounding tissues (ie, cancellous bone and soft tissue). These effects are the main causes of inaccuracies in cBMD values measured at CT.

Partial volume effects explain the discrepancies among published data on the influence of age on cBMD. Studies of cross sections of vertebral bodies revealed that cBMD decreased with advancing age (7,3032). Similarly, Fujii et al (33) reported that the radius showed a statistically significant decrease in cBMD with advancing age in both females and males. Conversely, other study findings revealed no significant effect of age on cBMD at the femur or radius (28,34) and suggested that previously reported age-related decreases in cBMD were artifacts produced by increased partial volume effects due to cortical thinning (28,29). Hangartner and Gilsanz (28) demonstrated that a cortical thickness of at least 2.0–2.5 mm was necessary to allow accurate evaluation of cBMD. Below this threshold, cBMD values decreased linearly with cortical thickness. These results were obtained by using pixel sizes of 0.3 and 0.6 mm.

We optimized our CT protocol on the basis of the results of previous experimental studies (29,3537). We used a small target, a pixel size of about 100 µm, an appropriate algorithm, a correction for scanner drift, and frequent calibrations of the apparatus. Cortical thickness at the femoral middiaphysis was greater than 2 mm in all but seven subjects. In addition, the regions of interest, which contained more than 80 pixels, was placed entirely within the boundaries of the cortex. Placement of the midcortical subregion was entirely reliable and was not subject to partial volume effects. The external boundary of the cortex was well defined, and the periosteal subregion was also placed entirely within the cortex. Definition of the internal boundary of the cortex was less easy, since, with advancing age, formation of trabeculae in the internal aspect of the cortex occurs as a result of endosteal resorption. However, correlations between endosteal porosity and endosteal cBMD values in our study were similar to those of the periosteal and midcortical subregions.

Our technique was sensitive enough to demonstrate statistically significant age- and site-related variations in cBMD values. In females, cBMD values decreased significantly with advancing age. A smaller age-related decrease was found in the males; this finding was consistent with previous microscopic data indicating that, compared with females, males lose less cBMD as they age (21). In addition, cBMD decreased significantly from the periosteum to the endosteum; this effect was seen in both sexes but was most marked in females older than 50 years.

In longitudinal studies, techniques used to measure bone mineral density must be sufficiently sensitive to demonstrate continuing bone loss and effects of therapy (6,20). The sensitivity of techniques used to measure bone mineral density can be affected by precision errors (20). Short-term precision errors reflect the reproducibility of the techniques (20). In our study, the short-term precision error in cBMD measurements was low in the total cortex (2.50%), midcortical subregion (1.84%), and periosteal subregion (2.73%) and was higher in the endosteal subregion (3.32%).

With aging, the endosteal boundary of the cortex becomes less well defined as a result of endosteal resorption. A small displacement of the subregion of interest toward the endosteum or midcortex leads to variations in CT values. Although reproducibility problems related to placement of CT sections and regions of interest have been solved with trabecular spinal CT, they remain a challenge in the assessment of trabecular and cBMD in the hip because of the complex three-dimensional architecture of the proximal femur and the considerable variations in cBMD that occur across femoral sites (6). Development of simple automated methods to improve reproducibility of the acquisition of CT images and reproducibility of image analysis (22,34,38,39) is needed to allow reliable monitoring of changes in cortical bone status with CT. Whether the conclusions reached in the present study concerning the value of CT scanning in the evaluation of cBMD can be extended to examination of the proximal part of the femur (where cortical bone is thinner than it is at the middiaphysis) remains to be determined.

The second problem addressed by our study concerned the meaning of variations in cBMD. As measured at CT, cBMD is a mass per unit volume of whole bone (including empty spaces such as Haversian canals, blood vessels, and resorption cavities) (19,40). Thus, cBMD is an apparent mineral density that should be distinguished from true mineral density, which is defined as the weight of ash per unit volume of bone that is free of empty spaces. Therefore, cBMD reflects both the amount of bone (bone volume fraction) and the degree of bone mineralization. Since the degree of mineralization in adult cortical bone tissue seems to change little with age (13,19,41), changes in cBMD probably reflect changes in the bone volume fraction (13), which can be equated to bone porosity (13). In the present study, we found a close relationship between cBMD and porosity in the total cortex and in all three cortical subregions studied. In addition, the ranges of porosity and the age-related changes in porosity in males and females were in agreement with findings of previous microscopic studies (13,21).

To our knowledge, cBMD SD has not yet been studied. Concerning trabecular bone, Dougherty (42) suggested that the SD and coefficient of variation for trabecular CT numbers may reflect bone texture, since they help in the discrimination between subjects with and those without spinal fractures. On the contrary, Engelke et al (43) found that the trabecular SD provides no additional information, compared with bone mineral density values used in the distinction of subjects with osteoporosis and those without osteoporosis. In our study, the cBMD SDs within each of the three cortical subregions increased with age in females (r = 0.41–0.48). The cBMD SDs were moderately correlated with cBMD, since the SDs were larger with lower cBMD values, especially in females (r = -0.68 to -0.80). In addition, the cBMD SD increased with porosity (r = 0.65 in females for the entire cortical width). These data suggest that increased porosity, which resulted in a less homogeneous bone, was responsible for dispersion of pixel values.Practical application: Our in vitro data show that (a) age- and site-related changes in femoral cBMD can be detected by using a current CT scanner with an optimized protocol and (b) changes in cBMD values are closely correlated with cortical porosity, as measured microscopically. These findings further our understanding of the relationship between cortical bone strength and cBMD. Further studies are needed to demonstrate the clinical utility of this technique in the evaluation of hip fracture risk, particularly by establishing that (a) cBMD CT measurements can be used in the proximal part of the femur and (b) separate assessment of cortical and trabecular bone mineral density is better for the prediction of hip fracture than assessment of integral bone mineral density at dual-energy x-ray absorptiometry.


    ACKNOWLEDGMENTS
 
The authors thank the Department of Anthropology at the University of Coimbra, Portugal, especially Maria Augusta Tavares Rocha and Maria Helena Xavier Morais for their collaboration in the collection of cortical bone specimens; Eric Vicaut, MD, PhD, Department of Biophysics at the UFR Lariboisière-Saint-Louis (University Paris VII, France), who gave statistical advice; and Brigitte Le Bruno for her expert technical assistance.


    FOOTNOTES
 
Abbreviation: cBMD = cortical bone mineral density

Author contributions: Guarantors of integrity of entire study, V.B., J.D.L.; study concepts, V.B., J.D.L., F.B., C.P.C.; study design, V.B., C.B., A.M., J.D.L.; definition of intellectual content, V.B., J.D.L.; literature research, F.B., C.P.C., V.B.; experimental studies, V.B., C.B., A.M.; data acquisition, V.B., C.B., A.M.; data analysis, A.M., V.B.; statistical analysis, V.B., A.M.; manuscript preparation, V.B., J.D.L.; manuscript editing, C.B., J.D.L.; manuscript review, A.M.L.J., J.D.L., C.B., A.M.


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 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
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