Bone 32 (2003) 316 –323 www.elsevier.com/locate/bone Constant mineralization density distribution in cancellous human bone P. Roschger,a,* H.S. Gupta,a,b A. Berzlanovich,c G. Ittner,d D.W. Dempster,e,f P. Fratzl,b F. Cosman,e,g M. Parisien,f R. Lindsay,e,g J.W. Nieves,e,h and K. Klaushofera a Ludwig Boltzmann Institute of Osteology, 4th Medical Department, Hanusch Hospital & UKH-Meidling, Vienna, Austria Erich Schmid Institute of Materials Science, Austrian Academy of Sciences and University of Leoben, Leoben, Austria c Institute of Forensic Medicine, University of Vienna, Vienna, Austria d Traumatology Hospital Meidling, Vienna, Austria e Helen Hayes Hospital, New York State Department of Health, West Haverstraw, NY, USA f Department of Pathology, Columbia University, New York, NY, USA g Department of Medicine, Columbia University, New York, NY, USA h Department of Epidemiology, Columbia University, New York, NY, USA b Received 19 April 2002; revised 15 November 2002; accepted 19 November 2002 Abstract The degree of mineralization of bone matrix is an important factor in determining the mechanical competence of bone. The remodeling and modeling activities of bone cells together with the time course of mineralization of newly formed bone matrix generate a characteristic bone mineralization density distribution (BMDD). In this study we investigated the biological variance of the BMDD at the micrometer level, applying a quantitative backscattered electron imaging (qBEI) method. We used the mean calcium concentration (CaMean), the most frequent calcium concentration (CaPeak), and full width at half maximum (CaWidth) to characterize the BMDD. In none of the BMDD parameters were statistically significant differences found due to ethnicity (15 African–American vs. 27 Caucasian premenopausal women), skeletal site variance (20 ilium, 24 vertebral body, 13 patella, 13 femoral neck, and 13 femoral head), age (25 to 95 years), or gender. Additionally, the interindividual variance of CaMean and CaPeak, irrespective of biological factors, was found to be remarkably small (SD ⬍ 2.1% of means). However, there are significant changes in the BMDD in the case of bone diseases (e.g., osteomalacia) or following clinical treatment (e.g., alendronate). From the lack of intraindividual changes among different skeletal sites we conclude that diagnostic transiliac biopsies can be used to determine the BMDD variables of cancellous bone for the entire skeleton of the patient. In order to quantify deviations from normal mineralization, a reference BMDD for adult humans was calculated using bone samples from 52 individuals. Because we find the BMDD to be essentially constant in healthy adult humans, qBEI provides a sensitive means to detect even small changes in mineralization due to bone disease or therapeutic intervention. © 2003 Elsevier Science (USA). All rights reserved. Keywords: Bone mineralization density distribution; Cancellous human bone; Adult human bone; Quantitative backscattered electron imaging Introduction The mechanical properties of bone are established by the structural organization at different hierarchical levels, including organ, tissue, and material level [1]. It has been shown that bone diseases can affect different levels of bone * Corresponding author. Ludwig Boltzmann-Institute of Osteology, UKH-Meidling, Kundratstrasse 37, A-1120 Vienna, Austria. E-mail address: [email protected] (P. Roschger). structure, such as trabecular architecture in osteoporosis [2,3], the degree of mineralization in osteomalacia [4], and the nanostructure of the composite material in osteogenesis imperfecta [5–7,40]. Clinical evaluations of biochemical markers, radiography, DEXA, QCT, pQCT, and NMR are not always sufficient to make correct clinical diagnoses. In such cases, bone biopsies (usually transiliac bone) are taken from the patients for histological studies. Additionally, these bone biopsies provide the opportunity to examine the bone quality at different hierarchical levels by other physical methods, e.g., (a) CT and magnetic resonance micro- 8756-3282/03/$ – see front matter © 2003 Elsevier Science (USA). All rights reserved. doi:10.1016/S8756-3282(02)00973-0 P. Roschger et al. / Bone 32 (2003) 316 –323 imaging (MRI) [3,8,41], which are powerful tools to evaluate 3D-structural parameters of trabecular bone, (with a spatial resolution down to 15 m achievable by commercially available CT-scanners); (b) microradiography [9 –12] and quantitative backscattered electron imaging (qBEI) [4,13–15], which quantify the degree of mineralization within sectioned bone regions; (c) synchrotron radiation microtomography, which permits the analysis of the 3D structure together with degree of mineralization [16] in bone; (d) scanning small angle X-ray scattering (scanningSAXS) [17,18], which enables the determination of mineral particle size, shape, and orientation; (e) Fourier transform infrared microspectroscopy (microFTIR) [19 –21], which can provide local information on variations in mineral: matrix ratios, in carbonate:phosphate ratios of the mineral, in crystallinity, and in collagen cross-linking; and (f) Raman spectroscopy [22], which provides insight into molecular variations in the structure of the mineral. We focus on the assessment of the local calcium distribution within the trabecular bone matrix using qBEI [4,23]. The degree of mineralization is a crucial factor for bone quality, because it modifies the elastic modulus of the matrix material—the higher the degree of mineralization, the higher the stiffness of the material [24]. As is shown by microradiography [10 –12] and backscattered electron imaging [4,13,15,23], the bone matrix is not uniformly mineralized, but exhibits a range of mineral concentration, which is determined primarily by the duration of secondary mineralization of the individual bone packets. The differences in the degree of mineralization within a certain bone region can be quantified by measurement of the frequency distributions of calcium concentrations detected. We designated such a distribution as the bone mineralization density distribution (BMDD), synonymous to bone mineral density distribution used previously [4]. For the reasons noted above, BMDD indirectly provides information on the bone turnover rate. For instance, a high bone turnover rate will result in a higher contribution of less mineralized matrix and will shift the distribution to lower mineral concentration values. Additionally, the distribution will get broader, because of the increase in the heterogeneity in mineralization [25,26]. In contrast, when bone turnover is reduced, e.g., by treatment with an antiresorptive drug [19,27,28], the distribution shifts to higher calcium concentration values and becomes more narrow, the sharpening indicating that the mineralization is more homogeneous. To gain insight into the mineralization pattern of normal bone and to establish the BMDD as a diagnostic tool to detect deviations from normality, we studied the BMDD of trabecular bone from different skeletal sites from healthy individuals of variable ethnicity, gender, and age by quantitative backscattered electron imaging (qBEI) [4] in the scanning electron microscope. 317 Materials and methods Samples Human bone biopsies were obtained from the sources listed below. No evidence of metabolic bone disease or post mortal alterations in mineralized tissue was present in any of the groups of bone samples designated P1 to P4 in the following: P1: transiliac bone samples from autopsies of 20 individuals (7 males, 13 females, ages 30 – 85 years) from a previous study [4]; P2: L4-vertebral samples from autopsies of 24 individuals (16 males, 11 females, ages 5–95 years); and P3: transiliac biopsies from a previous study [29] of 42 premenopausal women (volunteer; 27 white, 15 black) of similar ages (ages 26 –37 years). Subjects were within 20% of ideal weight for height, and had no endocrine, renal, hepatic, or other disorders. They also had low or moderate alcohol and tobacco use (P4: cancellous bone samples of patella, femoral head, and femoral neck, from 13 individuals each (nine males and four females, aged 39 – 65 years)). Additionally, an example of severe deviations from the normal BMDD in a transiliac biopsy from a patient (female, 39 years) with osteomalacia caused by celiac disease is shown. A case with only subtle changes in BMDD is represented by the BMDD from an osteoporotic patient (female, 63 years) treated for 2 years with alendronate (10 mg/day) (for more details see recent work [28]). The study was approved by the Institutional Ethical Review Board (Institute of Forensic Medicine, Vienna, Austria) for the autopsy samples P1, P2, and P4, and by the Institutional Ethical Review Boards of Helen Hayes Hospital, Columbia—Presbyterian, Mount Sinai, and St. Lukes—Roosevelt Medical Centers for P3 [29]. The samples were fixed in 70% ethanol (P3) or ethanol/ formalin solution 70:30 v/v (P1, P2, and P4) and dehydrated in a graded series of ethanol solutions [4]. Subsequently, they were embedded in polymethylmethacrylate (PMMA), and the surfaces were made planar and parallel to each other by grinding and polishing (PM5 Logitech, Glasgow, Scotland). A thin carbon layer was deposited by vacuum evaporation (Argar SEM Carbon coater, Argar Scientific Limited, Essex, UK) for qBEI analysis. Bone mineralization density distribution (BMDD) measurements The mineral content of bone in these samples was measured by a quantitative backscattered electron imaging (qBEI) method [4,23]. This technique relies on the fact that the amount of electrons backscattered from a thin surface layer (1–2 microns thick) of a sectioned bone region is directly proportional to the weight concentration of calcium within the underlying interaction volume of the beam electrons. The samples were analyzed using a digital scanning electron microscope with a four-quadrant semiconductor backscattered electron detector (DSM 962, Zeiss, 318 P. Roschger et al. / Bone 32 (2003) 316 –323 frequency (given as percentage of bone area) of occurrence of pixels of a certain gray level, or Ca concentration (Fig. 1b). These histograms, designated as BMDD, have a bin width of a single grey level step resulting in a resolution in Ca concentration of 0.17 wt%. In order to perform quantitative comparisons and statistical analysis from different BMDDs, we made a further data reduction and discarded the information of each single histogram bin and introduced BMDD parameters characterizing the total distribution: the weighted mean calcium concentration (CaMean), the most frequent Ca concentration (CaPeak), and the width of the distribution (CaWidth) (Fig. 1b). For the determination of CaMean, a technical precision (interassay variance) of 0.3% was achieved by this method [4]. Statistical analysis Fig. 1. (a) An example of a digital gray level backscattered electron image of a trabecular bone sample (iliac crest, black woman (age 33 years). (b) Corresponding bone mineralization density distribution (BMDD) including the BMDD parameters. Cai, Fi are coordinates of a histogram data point; Cai is showing the calcium weight percent of the ith histogram bin (on the x axis); and Fi the corresponding bin height, the frequency of appearance (at the y axis). The peak indicates the most frequently occurring calcium concentration and its coordinates are CaPeak and FPeak. CaWidth ⫽ the full width at half maximum of the histogram. CaMean ⫽ weighted mean Ca concentration. In order to examine the effect of different biological variables on the BMDD systematically, we investigated the influence of individuality, ethnicity (African–Americans vs. Caucasians), skeletal site (ilium, vertebra, patella, femoral neck, and femoral head), age (25 to 95 years), and gender on BMDD using the qBEI method. Unpaired t tests were used to test for equality of means. Significance for nonequality was set at P ⬍ 0.05. ANOVA of repeated measurements usually applied to cases for analysis of treatment effects in an individual at different time points was employed to search for differences between the three skeletal sites studied within an individual at one time point. Linear regression analysis with age was performed for BMDD variables in the age range from 25 to 97 years. Statistical analyses were carried out with the R 1.2.2 package for statistical computation [30] and the statistical software StatView 4.5 (Abacus Concepts, Inc. Berkeley, CA, USA). Results Interindividual variance Oberkochen, Germany), at a working distance of 15 mm. Probe current was adjusted to 110 ⫾ 0.4 pA and electron beam energy to 20 keV. The pixel resolution of the digital image was 4 microns/pixel at magnification of 50⫻, with a resolution of 256 gray levels. For each sample, 5– 6 regions of the same size (2 ⫻ 2.5 mm wide) were scanned, using a scan speed of 100 s per frame. Carbon and aluminum were used for gray level references and osteoid and hydroxyapatite were employed as references to convert gray level values into calcium wt% values. Thus, the single digital backscattered electron (BE) images display the specific spatial variations of Ca concentration within the imaged bone region (Fig. 1a). In order to get more general quantitative data about the variations of mineralization in the bone matrix, we discarded the spatial information and produced gray level histograms from the BE images to show the The BMDD variables for 27 premenopausal white females (group P3) of approximately the same age, similar weights, and with similar health status were determined at the same skeletal site (iliac crest) and were averaged (Table 1). The standard deviations were less than 2.3% for CaMean and CaPeak, and less than 12.5% for CaWidth for this group of individuals. Ethnic origin influence A group of 27 white and 14 black (age range 26 to 37 years) premenopausal females (group P3) was analyzed. Fig. 2 compares the average BMDD for white and black women. t Tests between the BMDD parameters in the two ethnic groups showed no significant difference in CaMean, P. Roschger et al. / Bone 32 (2003) 316 –323 319 Table 2 Intraindividual skeletal site influence on BMDD Table 1 Interindividual and ethnic origin influence on BMDD BMDD parametera Whiteb Blackb Pc Skeletal sitea CaMean [wt% Ca] CaPeak [wt% Ca] CaWidth [wt% Ca] CaMean (wt% Ca) CaPeak (wt% Ca) CaWidth (wt% Ca) 21.87 (⫾2.29%) 22.67 (⫾2.16%) 3.62 (⫾12.15%) 21.87 (⫾1.60%) 22.60 (⫾1.42%) 3.35 (⫾10.15%) 0.99 0.66 0.34 Patella Femoral neck Femoral head 22.35 (⫾2.28%) 22.32 (⫾1.79%) 22.96 (⫾1.79%) 22.89 (⫾1.40%) 3.01 (⫾10.30%) 2.99 (⫾6.35%) 22.38 (⫾1.92%) 22.92 (⫾1.75%) 2.92 (⫾10.96%) a Mean values with SD given as percentage of means in parentheses. Two groups of premenopausal women, 27 white and 15 black. c t Test P values indicating no significance between groups. b CaPeak, and CaWidth (Table 1). The differences between means were found to be less than 0.3% for CaMean and CaPeak and 7.5% for CaWidth. Intraindividual skeletal site influence a Three skeletal sites from the same individual, studied in 13 cases: one-way repeated measures ANOVA revealed no statistically significant differences among sites (P ⫽ 0.87). Mean values with SD given as percentage of means in parentheses. no significant change within this age range (Table 3 and Fig. 4). Gender influence To test for differences in BMDD of cancellous bone among different skeletal sites within the same individual, the BMDDs from patella, femoral head, and femoral neck were measured from 13 individuals (group P4). ANOVA of repeated measurements revealed no significant differences (P ⫽ 0.87) between the different skeletal sites (Table 2). The similarity between the BMDDs at different skeletal sites is demonstrated for one single individual in Fig. 3. Because we observed no significant age dependence for any of the BMDD parameters for males and females taken as separate groups or taken as a combined group, the same data set used in the previous analysis was now tested for differences due to gender. t Tests revealed no significant difference in population means between these two sets of 22 females and 13 males (Table 4). Age influence Iliac vs. vertebral bone Because there was no ethnicity or skeletal site influence in the BMDD variables, we included bone samples from different ethnic origin and skeletal sites in this investigation. The changes of CaMean, CaPeak, and CaWidth with age were studied for a combination of sample groups P1, P2, and P3. Twenty-two females (13 subjects from P1, five from P2, four from P3) and 13 males (seven subjects from P1 and six from P2) were used. Only subjects aged 25 years or older were included. Linear regressions vs. age were fit for each BMDD parameter. For both male and female, as well as combined populations, CaMean, CaPeak, and CaWidth showed To determine if a transiliac biopsy is representative of trabecular bone in the spine, we compared CaMean, CaPeak, and CaWidth between a set of transiliac bone samples (P1), and a subset of the L4-vertebral samples (P2: 11 samples, subjects older than 25 years). No significant difference in BMDD between these two skeletal sites was detected (Table 5). Fig. 2. Comparison of BMDD between black and white American women: averaged BMDD histograms of iliac crest samples from 15 black and 27 white premenopausal women of mean age 32 years. Reference BMDD Because we found no statistically significant influence due to biological factors in the BMDD parameters between adult individuals, we calculated a typical BMDD for the Fig. 3. Comparison of BMDD histograms from different skeletal sites within a single individual. 320 P. Roschger et al. / Bone 32 (2003) 316 –323 Table 3 Age (25–97 years) influence on BMDD: linear regression analysis with age Variable Gender combinationa Intercept [wt% Ca] CaMean Male ⫹ female Male Female 21.71 21.58 21.49 CaPeak Male ⫹ female Male Female CaWidth Male ⫹ female Male Female a b R2 Pb 0.0076 0.0084 0.0144 0.1079 0.1683 0.1657 0.054 0.16 0.09 22.66 22.60 22.53 0.0054 0.0059 0.0075 0.0752 0.0960 0.1152 0.11 0.30 0.17 3.46 3.40 3.54 ⫺0.0001 ⫺0.0001 ⫺0.0007 0.0002 0.0000 0.0023 0.97 0.98 0.85 Slope [wt% Ca]/year Population of 22 females and 13 males. P values from ANOVA statistics for the regression. None of the variables were significantly correlated with age. trabecular bone of normal adult human by averaging the BMDDs of 52 samples without regard to age, gender, ethnicity, or skeletal site, as a reference with which pathological samples can be compared visually (Fig. 5). For averaging the BMDDs, all 20 samples from P1, 11 from P2 (five female, six male), eight from P3 (four black and four white), and 13 femoral head samples from P4 (nine males, four females) were used. Further, we calculated the means and standard deviations of the 52 individual BMDD variables to use as normative BMDD values for quantitative comparisons with pathological samples (Table 6). This allows deviations from normal- ity to be quantified in terms of multiples of the SD of the normative values. In order to have a parameter that is especially sensitive to changes in the BMDD in the range of low degree of mineralization, we introduced a low mineralization cutoff in the calcium concentration, in analogy to a 95% confidence interval in statistics, such that 95% of the bone area in a “normal” bone has a higher calcium concentration than this cutoff concentration. This cutoff value at the fifth percentile of our reference BMDD was found to be 17.68 wt% Ca (Fig. 5). Accidentally, this value lies in the range of Ca concentrations, which are achieved during primary mineralization of newly formed bone matrix [12,26]. Consequently, a new BMDD parameter CaLow was defined as the percentage of bone area which is mineralized less than 17.68 wt% Ca. Thus, CaLow for “normal” bone is ⬃5% (Table 6). To demonstrate the utility of the normative BMDD together with the BMDD parameters CaLow, as well as CaMean, CaPeak, and CaWidth, in quantifying deviations from normal BMDD, a case of osteomalacia and a case of osteoporosis treated with alendronate [28] are shown in Fig. 5 and Table 6. In the case of osteomalacia, an increase of CaLow (19.7 SD) and CaWidth (8.8 SD) combined with a decrease in CaMean (⫺9.8 SD) and CaPeak (⫺8.3 SD) could be detected. In contrast, the osteoporotic patient treated with alendronate exhibited only minor differences in BMDD compared to healthy individuals. Table 4 Gender influence on BMDD Fig. 4. Changes in the BMDD parameters CaMean, CaPeak, and CaWidth with age for cancellous bone: iliac and L4-vertebral bone from a group of 22 females and 13 males aged ⬎ 25 years were studied. Solid lines are linear regressions with age of combined male and female data. Ninety-five percent confidence intervals for the regression are shown by dashed lines (corresponding regression analysis data are given in Table 3). Variablea Male (n ⫽ 13) Female (n ⫽ 22) Pb CaMean [wt% Ca] CaPeak [wt% Ca] CaWidth [wt% Ca] 22.08 (⫾2.08%) 22.95 (⫾1.83%) 3.40 (⫾5.88%) 22.17 (⫾2.21%) 22.98 (⫾1.74%) 3.49 (⫾7.74%) 0.61 0.89 0.32 a Mean values with SD given as percentage of means in parentheses. t Test P values indicating no statistically significant differences between groups. b P. Roschger et al. / Bone 32 (2003) 316 –323 Table 5 Comparison of BMDD between iliacal and vertebral bone BMDD parametera Iliac crest (n ⫽ 20) L4-vertebra (n ⫽ 11) Pb CaMean [wt% Ca] CaPeak [wt% Ca] CaWidth [wt% Ca] 22.20 (⫾2.21%) 23.05 (⫾1.56%) 3.41 (⫾7.04%) 21.98 (⫾2.27%) 22.81 (⫾2.10%) 3.56 (⫾6.74%) 0.23 0.13 0.10 a Mean values with SD given as percentage of means in parentheses. t Test P values indicating no statistically significant differences between sites. b Discussion Numerous studies at organ and tissue levels have shown that bone variables like bone mineral density (BMD), bone mineral content (BMC), cortical bone area relative to trabecular area, bone volume, trabecular thickness, osteoid perimeter, and thickness can exhibit distinct variations with ethnicity [31–34], gender [2,35], age [2,31,32,36], and menopausal status [31,32]. In contrast, at the material level, we found that the BMDD is strikingly constant for trabecular bone. None of the biological factors such as interindividual variability, ethnic origin, skeletal site, age, or gender were found to cause significant alterations in BMDD. To our knowledge, this is the first systematic study of BMDD that covers all these essential biological factors. The few previous studies [4,10,13,14,37] on this topic are consistent with the present results for cancellous bone. However, BMDD in cortical bone can have remarkable variations even within a single skeletal site (data not shown and Portigliatti Barbos et al. [38]). The highly heterogeneous osteonal structures found in cortical bone might be responsible for these variations. These are most likely generated by locally different levels of bone turnover, perhaps as a response to exposure to varying mechanical stress. For the systematical investigation of the normal cortical BMDD with respect to all these biological factors, a suitable BMDD evaluation method taking into account the heterogeneity of osteonal structure has to be developed. Ethnicity (African–American vs. white Americans) does not seem to affect the material level. This makes it unlikely that differences at the bone material level are contributing essentially to the lower incidence for osteoporosis [38,42] and hip fracture [39] in blacks compared to whites. Numerous studies comparing BMD and bone histomorphometry between ethnic groups have been carried out in an attempt to explain the difference in fracture incidence [29,31–34], but the results are not conclusive. In a previous histomorphometric study [29], on the same bone samples used in the present study, the authors found no difference in bone volume, microstructure, or turnover, but the bone formation period and mineralization lag time were longer in blacks compared to whites. However, surprisingly, these differences in dynamics of bone formation seem to have no significant impact on the BMDD parameters measured in trabecular bone. 321 The similarity of BMDD observed in cancellous bone at different skeletal sites (patella, femoral neck, femoral head, vertebral body, and iliac crest) is surprising. This suggests that bone modeling and remodeling is biologically controlled in such a way that under physiological conditions trabecular bone of similar mineralization pattern is produced, independent of the skeletal site and despite differences in mechanical loading conditions. In consequence, deviations of BMDD as measured by qBEI in iliac crest give strong evidence of pathological changes in the entire skeleton, which confirms the feasibility of iliac crest as a skeletal site for a routine diagnostic biopsy. Unfortunately we could not directly compare the iliac vs. the vertebral sites within the same individual but only between different individuals. However, because the interindividual variability was so small, we believe the conclusion is valid. Strikingly small changes at the bone material level were found in the age range 25 to 97 years. This is in strong contrast to the tissue level, where mass and microarchitecture are strongly age dependent. We found that CaMean, CaPeak, and CaWidth did not significantly change within the age range of 25 to 90 years. This is consistent with previous findings [4,10,13]. In recent work [18], we demonstrated that 70% of the overall increase in degree of mineralization during life occurs within the first 4 years. For this reason, it is not surprising that we did not find a significant age dependence from 25 to 97 years in this work. Interestingly, gender is also not a factor influencing bone at the material level, but clearly is so at the tissue level. Fig. 5. BMDD for 52 normal, adult humans and examples of deviations caused by diseased bone: (a) The solid line indicates the average BMDD for 52 individuals. Dashed lines show the 1 SD boundaries. CaLow is a newly defined BMDD parameter and describes the percentage of bone area, which is mineralized less than 17.68 wt% Ca (vertical dashed line). At this cutoff Ca concentration the mean CaLow for the reference population is ⬃5% (see Table 6). (b) Solid line: reference BMDD; gray circles: BMDD of a patient with osteomalacia; white triangles: BMDD of a patient with osteoporosis treated with alendronate [28]. 322 P. Roschger et al. / Bone 32 (2003) 316 –323 Table 6 Reference BMDD values and examples of deviations by disease (osteomalacia) or treatment (alendronate (ALN)) BMDD parameter Referencea ⫾ SD Osteomalaciab ALN-treated osteoporosisb CaMean [wt% Ca] CaPeak [wt% Ca CaWidth [wt% Ca] CaLow [%] 22.20 ⫾ 0.45 22.94 ⫾ 0.39 3.35 ⫾ 0.34 4.93 ⫾ 1.57 17.79 19.72 6.34 35.89 22.12 22.53 2.95 4.29 a b (⫺9.8 SD) (⫺8.3 SD) (8.8 SD) (19.7 SD) (⫺0.15 SD) (⫺1.1 SD) (⫺1.36 SD) (⫺0.45 SD) Mean values with SD; n ⫽ 52. Deviations from reference are given in units of SD of reference in parentheses. However, it has been shown that males lose less trabecular bone than females [2] at the tissue level, and cortical bone area in males tends to remain constant, while in females a reduction occurs [35]. In contrast, there appears to be no gender-specific difference in the biological control of bone matrix mineralization pattern. The preceding results demonstrate the striking similarity of the BMDDs of normal adults irrespective of ethnic groups, skeletal site, age, and gender. Hence we have calculated reference values for the BMDD of healthy trabecular bone. These reference values can be used for comparison with values from abnormal bone samples, and thereby the amount of deviations from normality can be given in units of SD values of the reference BMDD parameters. The new parameter, CaLow, was introduced to provide an additional tool to detect subtle alterations in the low range of mineralization. The variance of CaMean and CaPeak based on a set of 52 bone samples was found to be remarkably small (SD ⬍ 2.1%). This small variability of BMDD makes it especially suited to detect even small changes induced by alterations in bone metabolism as illustrated by a patient receiving an alendronate treatment. The distinct reduction in CaWidth (⫺1.4 SD) is typical for an antiresorptive drug [27,28] and reflects the highly significant (P ⬍ 0.001) effect on the group of alendronate-treated osteoporotic patients measured in the previous study [28]. Additionally, the lack of any hypermineralization (CaMean ⫽ ⫺0.15 SD) of this individual patient is also consistent with the behavior of the entire group of patients [28]. Unfortunately, we had no bone samples available to demonstrate the effect of alendronate directly on the BMDDs before and after treatment on the same individual. However, it can be expected, that in a paired study, even smaller changes can be detected, because no variations in base line characteristics can obscure a potential effect of the treatment. The crucial factors that are likely to be responsible for the observed constancy of BMDD in trabecular bone are the time course of the mineralization process of the organic matrix up to a certain level of saturation and the regulation of bone turnover within a relatively narrow range. The mineralization of the organic matrix takes place in two phases, with a rapid primary phase and a much slower, secondary phase. Because the secondary phase takes approximately 6 months, the degree of mineralization also reflects the age of the newly formed bone. Thus, the BMDD can be considered also as an age distribution of the bone matrix. It is remarkable that this dynamically generated mineralization density pattern in trabecular bone was found to have such low variation and therefore seems to be a nearly constant biological parameter in normal adult humans. Acknowledgments We thank G. Dinst and P. Messmer for excellent technical assistance, and Dr. B.M. 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