Abstract
This study was designed to determine the effectiveness of whole-body vibration (WBV) and intermittent parathyroid hormone (iPTH) in combination against estrogen deficiency-induced osteoporosis. Female C57BL/6J mice were bilaterally ovariectomized (OVX, n = 40) or sham-operated (sham-OVX, n = 8) at 9 weeks of age. Two weeks later, the OVX mice were randomly divided into four groups (n = 10 each): the control group (c-OVX) and groups treated with iPTH (p-OVX), WBV (w-OVX) and both (pw-OVX). The p-OVX and pw-OVX groups were given human PTH (1–34) at a dose of 30 µg/kg/day. The w-OVX and pw-OVX groups were exposed to WBV at an acceleration of 0.3 g and 45 Hz for 20 min/day. All mice were euthanized after the 18-day treatment, and the left tibiae were harvested. The proximal metaphyseal region was µCT-scanned, and its cortical bone cross-section was analyzed by Fourier transform infrared microspectroscopy and nanoindentation testing. A single application of iPTH or WBV to OVX mice had no effect on bone structure or material properties of cortical bone, which were compromised in comparison to those in sham-OVX mice. The combination of iPTH and WBV improved trabecular bone volume, thickness, and connectivity in OVX mice. Although the combined treatment failed to improve cortical bone structure, its mineral maturity and hardness were restored to the levels observed in sham-OVX mice. There was no evidence of interaction between the two treatments, and the combined effects seemed to be additive. These results suggest combining WBV with iPTH has great potential for treating postmenopausal osteoporosis.
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Introduction
With the global aging population, osteoporosis has become an ever more important healthcare issue in the elderly. Postmenopausal women, in particular, are frequently susceptible to osteoporosis owing to a low peak bone mass coupled with menopausal bone loss. Worldwide there are more than 200 million women with postmenopausal osteoporosis [1, 2]. The X-ray diagnosis of the lumbar spine and the femoral neck in a large-scale population-based cohort study in Japan [3, 4] revealed that 9.8 million women aged 40 years and above suffered from osteoporosis. Osteoporosis increases bone fragility and susceptibility to fracture, and leads to increased morbidity and mortality as well as decreased functional ability or quality of life. Therefore, the prevention and treatment of osteoporosis in postmenopausal women have economic and health benefits.
In early postmenopausal women, estrogen deficiency increases bone turnover with a prevalence of bone resorption over formation [5, 6]. A number of studies have focused on the efficacy of anti-resorptive or anabolic pharmacological treatments for postmenopausal osteoporosis [7–9]. Of these treatments, parathyroid hormone (PTH) is the first bone anabolic drug to be approved by the Food and Drug Administration [10]. When injected once daily, PTH produces anabolic effects on the skeleton by activating pro-differentiating and pro-survival signaling in osteoblastic cells [11]. This so-called intermittent PTH (iPTH) induces an anabolic response in postmenopausal women [12, 13], and also in ovariectomized (OVX) rodents [14, 15], which mimic postmenopausal bone loss [16].
Estrogen deficiency in postmenopausal osteoporosis alters estrogen receptor expressions [17, 18], thereby elevating bone mechano-responsiveness. Thus, mechanical stimuli may be potent nonpharmacological alternatives for treating postmenopausal osteoporosis. In particular, whole-body vibration (WBV), which exposes subjects to low-intensity (<1 × g in general; g = 9.81 m/s2), high-frequency mechanical stimuli for short durations [19, 20], is more accessible than other loading modalities for some elderly patients for whom exercising is contraindicated or difficult. Some evidence has been reported for the mechano-responsiveness of sensitized bone to WBV [21] and for the effectiveness of WBV against bone loss in OVX rodents [22, 23]. Postmenopausal women can also benefit from WBV although its therapeutic outcome appears to be less pronounced in elderly than in younger patients [24, 25].
Several studies have indicated that iPTH also sensitizes bone cells to mechanical stimuli and lowers the bone-modeling threshold of mechanical strain, thereby enhancing mechanically stimulated bone formation [26–28]. Furthermore, mechanical stimulation is thought to increase bone strength in an efficient manner by localizing the anabolic effects of iPTH to biomechanically relevant sites [29, 30]. Considering these benefits of using iPTH and mechanical stimuli in combination, it is anticipated that the concurrent use of WBV and iPTH will exert a synergistic or additive effect in preventing postmenopausal bone loss. To our knowledge, however, there has been no study on the effect of WBV combined with iPTH on postmenopausal osteoporosis. To address this shortcoming, we evaluated the effect of WBV, iPTH, and their combination on OVX-induced osteoporosis in mice. Microcomputed tomography (µCT), Fourier transform infrared microspectroscopy (FTIR-MS), and nanoindentation testing were used to assess bone structural, chemical, and mechanical properties, respectively.
Method and Materials
General Procedures
Experiments were conducted in accordance with the guiding principles of the American Physiological Society, and with the approval of the Animal Research Committee of Osaka University Graduate School of Engineering Science.
Female C57BL/6J mice (CLEA Japan, Tokyo, Japan) were bilaterally ovariectomized (OVX, n = 40) or sham-operated (sham-OVX, n = 8) under anesthesia by an intraperitoneal injection of ketamine (100 mg/kg) and xylazine (10 mg/kg) at the age of 9 weeks. Mice were then single-housed in a plastic cage under controlled conditions (12-hour light/dark cycle, 25 °C, 60 % humidity) and allowed free access to a standard diet (CE-2; CLEA Japan) and tap water.
Two weeks later, the OVX mice were randomly divided into four groups (n = 10 each): the control group (c-OVX) and the groups treated with WBV (w-OVX), iPTH (p-OVX), and WBV/iPTH (pw-OVX). The p-OVX and pw-OVX groups were subcutaneously administered recombinant human PTH (1–34) (Bachem California, Inc., Torrance, CA) dissolved in a vehicle of 0.2 % bovine serum albumin and 0.1 % 1 mN hydrochloric acid in 0.9 % saline to form a solution of 10 µg/ml for delivery [31], at a dose of 30 µg/kg/day. The c-OVX, w-OVX, and sham-OVX groups received the delivery vehicle only at an equal volume to the p-OVX and pw-OVX groups. Additionally, mice in the w-OVX and pw-OVX groups were exposed daily to 20-min of vertical WBV (45 Hz, 0.3 g, sine wave). Six mice at a time were put in a compartmented cage that was firmly screw-fixed to a rigid vibration platform. The platform was driven by an electromagnetic actuator connected to a power supply/amplifier/controller (Big-Wave; Asahi Seisakujo, Tokyo, Japan). Using data received from an accelerometer (P51SC; Fuji Ceramics, Tokyo, Japan) attached to the platform, the vibration controller generated the input signal, which controlled the gain of the amplifier to produce the required sine-wave vibration. The actual vibration displacement at the cage bottom d L was measured at a sampling rate of 5 kHz using a laser displacement sensor (LK-H052/G5000 V; Keyence, Osaka, Japan) and compared with the target displacement d T for confirmation of amplitude and frequency. The average |d L−d T|/AT, where AT [0.3 g/(2π × 45 Hz)2 = 36.8 µm] is the displacement amplitude, was only 3.0 %. Mice in the c-OVX, p-OVX, and sham-OVX groups were placed on the vibration platform for 20 min but in a nonoperating state. The vehicle or PTH was administered 30 min before each WBV session. These interventions were introduced once daily at the same hour. After 18 days of treatment (1 month after OVX), mice were euthanized by an overdose of pentobarbital sodium. The left tibiae were harvested, dissected free of soft tissue, wrapped with moistened saline gauze, and stored at −30 °C until analysis.
µCT Analysis
The specimens were slowly thawed and then encapsulated in an acrylic tube filled with saline. Next, the proximal part of the tibiae was scanned using a µCT system (SMX-1000/VCT; Shimadzu, Kyoto, Japan). The scanning parameters were: 90 keV, 110 µA, 600-ms integration time, and 1200 projections over 360°. Image reconstruction was carried out for a 1.5-mm-long section of the metaphysis distal to the growth plate (Fig. 1a), providing 167 contiguous slice images of cross section composed of 512 × 512, 9-µm cubic voxels with an 8-bit gray-scale resolution. Bone was segmented from background, marrow or soft tissue residues by binarization using Otsu’s method [32]. The outer and inner borders of the cortical bone were determined by raster scanning in multiple directions after filling all bone pores, and the trabecular and cortical compartments were segmented (Fig. 1b). The following structural indices were determined: cortical bone area (Ct.Ar, mm2), medullary area (Ma.Ar, mm2), cortical bone thickness (Ct.Th, µm), trabecular bone volume fraction (BV/TV, %), trabecular bone thickness (Tb.Th, µm), trabecular bone number (Tb.N, mm−1), and trabecular bone connectivity density (Conn.D, mm−3). A three-dimensional method [33] was used for computing Ct.Th, Tb.Th, and Tb.N. The BoneJ plugin 1.3.14 [34] for ImageJ 1.49v was used for calculating these indices.
FTIR-MS
After µCT, the proximal epi-metaphyseal portion of the specimen was embedded in polymethylmethacrylate (PMMA) without ethanol fixation to avoid possible deterioration of collagen [35]. The longitudinal position showing the midsection of the metaphysis (Fig. 1a) was marked on the cortical surface prior to embedding. After polymerization, using an 800-grit SiC abrasive paper disk, the proximal surface of an embedded specimen was sanded perpendicularly to the tibial long axis in deionized water until the position mark was reached. The surface was further polished sequentially with 1200- and 4000-grit abrasive paper disks, 1-µm diamond suspension (DP-Spray P; Struers, Ballerup, Denmark), and finally with 0.05-µm alumina suspension (AP-D; Struers, Ballerup, Denmark) to a state close to a mirror surface. The proximal cross section was ultrasonically cleaned to remove surface debris and heated at 50 °C for 24 h in ambient air to prevent the enzymatic degradation of collagen [35].
The mirror-polished cortical cross section was analyzed for chemicals using an FTIR-MS system (IRPrestige-21/AIM-8800; Shimadzu, Kyoto, Japan) in reflection mode. Spectra were collected from three 30 × 30-µm2 regions, each at the anterior, posterior, medial, and lateral cortices (Fig. 2a) under the conditions of 4 cm−1 spectral resolution and 50 scans per point. The data obtained were corrected for background and converted to absorbance units by the Kramers–Kronig transformation (Fig. 2b). The following chemical indices were determined: mineral/matrix ratio, estimated as the integrated area ratio of the phosphate band (1200–930 cm−1, baseline: 1200–930 cm−1) to the amide I band (1720–1600 cm−1, baseline: 1720–1600 cm−1); mineral maturity (the ratio of apatitic to nonapatitic phosphate), estimated as the area ratio 1030 cm−1 over 1020 cm−1 peaks (baseline: 1200–930 cm−1); and collagen maturity (the ratio of nonreducible to reducible collagen crosslinks), estimated as the area ratio 1,660 cm−1 over 1,690 cm−1 peaks (baseline: 1720–1600 cm−1). To resolve overlapping bands, the spectra were processed using PEAKFIT 4.12 (SeaSolve, San Jose, CA). Second derivative spectra, accompanied by 9-datapoint Savitsky–Golay smoothing, were calculated to identify the peak wavenumbers of component bands in the spectra. These wavenumbers, which are in close agreement with published data [36, 37], were used for curve fitting with Gaussian component peaks. The position, half-bandwidth, and amplitude of the peaks were altered until the resulting bands shifted by no more than 3 cm−1 from the initial parameters, and good agreements between the sum of all components and the experimental spectra were achieved (r 2 > 0.999).
Nanoindentation testing
The PMMA-embedded specimens were subjected to nanoindentation testing by a dynamic ultra-micro-hardness tester (DUH-201S; Shimadzu, Kyoto, Japan) equipped with a diamond Berkovich tip; curvature radius <100 nm. Three points were placed, maintaining a small distance from each other, in each square region where the chemical data were collected (Fig. 2a), and were tested with a trapezoidal loading waveform (Fig. 2c) having a maximum load of 6 mN with a loading/unloading rate of 300 µN/s, giving a time-to-peak force of 20 s and a 100-s holding period at the maximum load [38]. Mechanical indices were calculated from the resulting force (P)–displacement (h) curve according to the method of Oliver and Pharr [39].
The indentation modulus, as a function of the local elastic modulus E specimen and Poisson ratio ν specimen of the specimen, is given by
where E tip (1131 GPa) and ν tip (0.07) are the elastic modulus and Poisson ratio of the diamond indenter, respectively, and E r is the reduced modulus. The latter was derived from the slope of a tangent S at the point of initial unloading (h = h max) and the contact area A c, which have a direct relationship with E r,
The ratio of maximum force P max (P at h = h max) to A c gives hardness, interpreted as a measure of strength, specifically resistance to nonelastic deformation under compression, i.e.,
Statistics
Data are presented as mean ± standard deviation. Chemical and mechanical indices were averaged over measurement points in each specimen. One-way analysis of variance (ANOVA) with Tukey’s post hoc test was performed to analyze the difference between groups and two-way ANOVA to analyze the potential interaction between iPTH and WBV. Bartlett’s test and the F-test showed no statistical differences in variances between groups in all data sets. All data were analyzed by Prism 6 (GraphPad Software; San Diego, CA), and a value of P < 0.05 was considered statistically significant.
Results
On the first day of interventions (2 weeks post-OVX), the c-OVX, p-OVX, w-OVX, pw-OVX, and sham-OVX mice weighed 22.5 ± 0.8, 22.8 ± 0.6, 23.2 ± 0.9, 23.1 ± 0.8 and 20.7 ± 1.0 g, respectively. Average body mass was 11 % higher in OVX mice (c-OVX, p-OVX, w-OVX, pw-OVX) than in sham-OVX mice. On the last day of interventions (1 month post-OVX), the c-OVX, p-OVX, w-OVX, and pw-OVX mice weighed 22.8 ± 1.1, 22.8 ± 0.6, 23.0 ± 0.8 and 23.3 ± 0.9 g, respectively, showing an average body mass 7 % higher than the sham-OVX mice, which weighed 21.6 ± 0.5 g. Body mass did not differ between c-OVX, p-OVX, w-OVX, and pw-OVX, indicating no impact of iPTH, WBV and their combination on body mass.
The representative three-dimensional reconstruction of tibial bone structure is illustrated for each group in Fig. 1b, and the bone structural data are summarized in Table 1. All structural indices were smaller in the c-OVX than in the sham-OVX mice. Compared with sham-OVX, p-OVX, and w-OVX still showed smaller values in all indices except for Conn.D in p-OVX, which, however, was similar to that in c-OVX. No differences were found in Tb.Th and Conn.D between sham-OVX and pw-OVX, although BV/TV, Tb.N, and all cortical structural indices were still smaller in pw-OVX than in sham-OVX. Furthermore, pw-OVX showed higher BV/TV and Conn.D and a tendency of higher Ct.Ar (P = 0.07) than did c-OVX. There was no significant interaction between WBV and iPTH for any structural index.
Table 2 presents chemical and mechanical properties of cortical bone. There were no intergroup differences in mineral/matrix ratio or collagen maturity. Compared with sham-OVX, c-OVX and p-OVX showed less mineral maturity. Mineral maturity was similar in w-OVX, pw-OVX, and sham-OVX and was higher in pw-OVX than in c-OVX. Indentation modulus did not differ between groups but showed a decreased tendency in c-OVX compared with sham-OVX (P = 0.07). Hardness was smaller in c-OVX, p-OVX, and w-OVX than in sham-OVX, higher in pw-OVX than in c-OVX, and similar in sham-OVX and pw-OVX. No significant interaction was found between WBV and iPTH for any chemical or mechanical index.
Figure 3 shows the plots of the mineral maturity and hardness for each specimen. Linear regression analysis found a significant correlation in the pooled data of all groups but not within any single group. No correlation was found in any of the other pairs of chemical and mechanical indices in any group or the pooled data.
Discussion
This study was undertaken to determine whether the concurrent use of WBV and iPTH might have therapeutic potential against osteoporosis in a synergistic or additive manner. A single application of WBV or iPTH was not effective against osteoporotic bone loss in OVX mice. When the two treatments were combined, however, OVX-induced reductions in trabecular bone volume and connectivity abated. The efficacy of WBV and iPTH in combination was also observed in cortical bone hardness and mineral maturity, both of which reduced in OVX mice but recovered to the healthy control levels. Considering there was no interaction between the two treatments in any structure, chemical, or mechanical index, the combined treatment might be additive rather than synergistic.
Compared with sham-OVX mice, OVX mice showed smaller trabecular bone volume fraction, thickness, number density, and connectivity density. Cortical bone and medullary tissue areas, and cortical thickness were also smaller in OVX mice than in sham-OVX mice. These declines in bone structural indices in parallel with the increased body mass are in line with previous studies using OVX mice [14, 40–43], confirming the onset of osteoporosis 1 month after OVX treatment. In addition, OVX-induced decreases in mineral maturity and hardness with a trend toward a declined indentation modulus were observed at metaphyseal cortical bone. The increased proportion of immature crystals observed here was also found in women during menopause [44], although there has been no study documenting these chemical and mechanical properties in OVX mouse bone. The short-term effects of OVX on intrinsic bone material properties have been examined only in femoral cortical bone of rabbits at 4 weeks post-OVX [45], which included a smaller mineral/matrix ratio, higher mineral maturity, higher collagen maturity, lower indentation modulus, and lower hardness compared with the age-matched healthy rabbits. Differences to the present results, most notably the opposite trend for mineral maturity, could be due to OVX models of different ages and species (young adult mice vs. mature adult rabbits) or skeletal site-specific effects of OVX (tibial proximal metaphysis vs. femoral diaphysis) [46]. There are also inconsistencies between other reports on the longer-term OVX effect on mineral maturity [45, 47, 48].
No significant difference was found in any structure, chemical, or mechanical index between untreated and iPTH-treated OVX mice, showing the insufficient anabolic effect of iPTH alone. In OVX mice of the same strain, however, iPTH improved tibial bone mineral and structure [41, 49, 50]. In these studies, the daily PTH (1–34) dose (40–80 µg/kg) was slightly higher, and durations to onset of iPTH after OVX (4–6 weeks) and of iPTH treatment (3–4 weeks) were longer than those in the current study (2 weeks after OVX to onset of 30-µg/kg/day PTH over 18 days). On the other hand, a daily dose of 100-µg/kg PTH (1–84), equivalent to 40-µg/kg PTH (1–34), over 2 weeks after the introduction of OVX, did not affect tibial bone structure in OVX mice of the same strain [51]. Differences in experimental time frame or OVX-induced estrogen status [52] may be responsible for the variable anabolic efficacy of iPTH in OVX mice.
Likewise, 18-day WBV alone was not effective against osteoporosis, although bone mechano-responsiveness will be elevated in OVX-induced estrogen deficiency [21–23]. There have been no studies investigating the effect of WBV in OVX mice. In a study exposing 8-week-old female BALB/c mice to WBV (15 min/day, 5 day/week) with the same vibration settings as in the present work, Xie et al. [53] showed a decline in osteoclastic activity in tibial trabecular bone and an increase in bone formation rate on the tibial endocortical surface during the first 3 weeks. They also reported that another 3 weeks were needed for the same daily WBV to yield significant effects in cortical bone geometry [54]. Chen et al. treated 8-week-old OVX rats with a similar WBV protocol (45–55 Hz, 0.3 g; 20 min/day, 5 day/week), starting the day after OVX introduction, and observed no effect during the first 4 weeks followed by improvement of tibial trabecular bone structure during the next 8 weeks [55]. Thus, at least in the current daily WBV protocol, a longer-term application would be required to produce skeletal changes in a detectable fashion.
There has been only one study on the therapeutic potential of combining WBV with iPTH against low-bone mass [56], in which 4- or 8-week concurrent use of WBV (90 Hz, 0.3 g; 15 min/day, 5 day/week) and iPTH (1–34) (10- or 40-µg/kg/day) was shown to be no more effective than either single use alone in tibiae of 7-month-old male BALB/c mice. In contrast, the present 18-day treatment of WBV and iPTH in combination for OVX mice reduced osteoporotic trabecular bone loss and disconnectivity, and restored cortical bone hardness and mineral maturity to the healthy control levels although either treatment alone showed no skeletal effect. These outcomes may be due to the simultaneous elevation of osteoblast number [11] and bone mechano-responsiveness [21–23] caused by iPTH and OVX-induced low estrogen levels. The discrepancy between the two studies may also be attributed to differences in WBV frequency, strains, and age [57–59]. Cortical bone structure remained unaffected, even by the combined treatment. A different metabolic turnover, which is faster for trabecular than for cortical bone [60], may play a role in the different treatment outcomes in trabecular and cortical bones. The periosteal bone might be responsive to the combined treatment because WBV/iPTH-treated OVX mice showed a tendency of larger cortical bone area and a similar medullar area compared with untreated OVX mice. A longer-term study is needed to confirm the combined action of WBV and iPTH on cortical bone structure.
We administered PTH 30 min prior to each WBV session according to the protocol used in previous studies, where the bone anabolic action of iPTH combined with cyclic mechanical loading [30] or WBV [56] was investigated in mice. However, this time sequence would not be entirely suitable for exploiting full potential of the combined treatment of iPTH and WBV. Bone anabolic responses to iPTH and mechanical stimuli are both associated with reduced expression of sclerostin, an osteocyte-derived negative regulator of bone formation [61, 62]. Early in vivo studies showed a transient down-regulation of sclerostin expression a few to several hours after PTH injection [63, 64]. That is, a time lapse of 30 min after PTH injection and before WBV might not allow these treatments to act in concert to enhance suppression of sclerostin, possibly making their combined effect additive rather than synergistic. The influence that the time sequence of iPTH and WBV may have on the outcome of the combined treatment is an important consideration for future studies.
Early studies [65, 66] demonstrated the effectiveness of WBV in reducing high bone turnover where bone resorption exceeds bone formation. Thus, iPTH-induced activation of WBV could lower bone turnover or bone resorption that may be elevated because of OVX [5, 6]. A decrease in bone resorption allows bone tissues to persist longer and favors bone maturation. Higher mineral maturity may be associated with higher hardness in cortical bone of WBV/iPTH-treated OVX mice, as indicated by the positive correlation between hardness and mineral maturity (Fig. 3). However, mineral maturity, defined here as the ratio of apatitic to nonapatitic phosphate, evolves concomitantly with mineral crystal size and crystalline perfection but possibly with different kinetics [67, 68]. Furthermore, other properties at the crystal level, such as alignment of bone apatite crystallites and interactions between mineral and collagen, will be involved in cortical bone hardness. Thus, although the combined treatment improved the material properties of bone tissue to the healthy control levels, further study is needed to clarify the mechanisms by which chemical alterations to bone tissue affect their mechanical properties.
There are some limitations to be noted. First, we used only a single WBV protocol. The skeletal effect of WBV varies with vibration frequency and magnitude [57, 69]. Thus, although no improvement was found in bone structure or in material properties in WBV-treated OVX mice, there may be a more favorable vibration setting for WBV to elicit therapeutic effects independently of iPTH or to provide additional benefits when used concurrently with iPTH. Second, the measurements were performed only at the proximal tibial metaphysis. We selected this skeletal site for analysis because its anabolic response was shown in 8-week-old female mice subjected to 3-week WBV with the present vibration setting [53]. Of greater interest, however, are the proximal femur and the spine because these sites are most likely to suffer osteoporotic fracture. This study indicated the therapeutic potential of combining WBV with iPTH, but it is not straightforward to extrapolate the present results to other skeletal sites because distance from the vibration plate may influence the response to WBV [69]. Third, we used single-time-point data during early-stage osteoporosis and assessed only short-term effects of treatments. Multitime-point data over a longer duration of osteoporosis are necessary for demonstrating the therapeutic efficacy of WBV and iPTH in combination. Finally, we did not perform dynamic bone histomorphometry during treatments, and therefore, we could not determine whether the WBV/iPTH-induced benefits to trabecular bone structure were attributed to its anabolic or anti-catabolic action.
In conclusion, 18-day treatment of WBV combined with iPTH was additively effective in improving trabecular bone structure and material properties of cortical bone at an early stage of OVX-induced osteoporosis in mice, suggesting its potential for treating postmenopausal osteoporosis. Further study is required for assessing its long-term therapeutic potential and for identifying an optimal WBV protocol, possibly combined with a clinically feasible PTH dosage.
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Acknowledgments
This work was supported in part by the Grants in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology of the Japanese government (Grant numbers 24650265 and 26282120).
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All applicable international, national, and/or institutional guidelines for the care and use of animals were followed. All procedures performed in studies involving animals were in accordance with the ethical standards of the institution or practice at which the studies were conducted.
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Matsumoto, T., Itamochi, S. & Hashimoto, Y. Effect of Concurrent Use of Whole-Body Vibration and Parathyroid Hormone on Bone Structure and Material Properties of Ovariectomized Mice. Calcif Tissue Int 98, 520–529 (2016). https://doi.org/10.1007/s00223-015-0104-4
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DOI: https://doi.org/10.1007/s00223-015-0104-4