research papers
The status of strontium in biological apatites: an XANES investigation
aLaboratoire de Physique des Solides, Bâtiment 510, Université Paris XI, 91405 Orsay, France, bLaboratoire de Biochimie A, Hôpital Necker-Enfants Malades, AP-HP, 149 Rue de Sèvres, 75743 Paris Cedex 15, France, cB2OA, UMR 7052 CNRS, Université Paris Diderot, 10 avenue de Verdun, 75010 Paris, France, dDepartment of Physics, University of Washington, Seattle, WA 98195, USA, and eSynchrotron SOLEIL, L'Orme des Merisiers, Saint-Aubin, BP 48, 91192 Gif-sur-Yvette, France
*Correspondence e-mail: bazin@lps.u-psud.fr
Osteoporosis represents a major public health problem and increases patient morbidity through its association with fragility fractures. Among the different treatments proposed, strontium-based drugs have been shown to increase bone mass in postmenopausal osteoporosis patients and to reduce fracture risk. While the localization of Sr2+ cations in the bone matrix has been extensively studied, little is known regarding the status of Sr2+ cations in natural biological apatite. In this investigation the local environment of Sr2+ cations has been investigated through XANES (X-ray absorption near-edge structure) spectroscopy in a set of pathological and physiological apatites. To assess the localization of Sr2+ cations in these biological apatites, numerical simulations using the ab initio FEFF9 program have been performed. The complete set of data show that the XANES part of the absorption spectra may be used as a fingerprint to determine the localization of Sr2+ cations versus the mineral part of calcifications. More precisely, it appears that a relationship exists between some features present in the XANES part and a Sr2+/Ca2+ substitution process in site (I) of crystal apatite. Regarding the data, further experiments are needed to confirm a possible link between the relationship between the preparation mode of the calcification (cellular activity for physiological calcification and precipitation for the pathological one) and the adsorption mode of Sr2+ cations (simple adsorption or insertion). Is it possible to draw a line between life and chemistry through the localization of Sr in apatite? The question is open for discussion. A better structural description of these physiological and pathological calcifications will help to develop specific therapies targeting the demineralization process in the case of osteoporosis.
Keywords: Ca phosphate apatites; physiological calcifications; pathological calcifications; Fourier transform infrared spectroscopy X-ray absorption spectroscopy; strontium environment.
1. Introduction
Osteoporosis represents a major public health problem and increases patient morbidity through its association with fragility fractures. Fractures of the hip and vertebrae especially imply significant mortality. From an epidemiologic point of view, about ten million Americans older than 50 have osteoporosis, and a further 34 million are at risk of the disease (Cooper, 1999; Holroyd et al., 2008). Among the different treatments proposed, strontium-based drugs such as strontium ranelate (PROTELOS), which combines two strontium cations and an organic carrier, ranelic acid, have shown antifracture efficacy in the treatment of postmenopausal osteoporosis (Meunier et al., 2004). Such treatments have been shown also to increase bone mass in postmenopausal osteoporosis patients (Boivin et al., 1996; Farlay et al., 2005; Marie, 2005; Roux, 2007; Rochefort et al., 2010; Roschger et al., 2010). Many studies have been performed to investigate the spatial repartition in tissues as well as the local environment of this oligoelement (Dahl et al., 2001; Verberckmoes et al., 2004; Korbas et al., 2004; Zhang et al., 2005; Ni et al., 2006; Bradley et al., 2007a,b; Zoeger et al., 2008; Zheng et al., 2009; Bellis et al., 2009).
Regarding Sr2+ cation localization in bone, different structural hypotheses taking into account the physicochemistry of biological apatite can be elaborated. First, Sr2+ cations are adsorbed at the surface of collagen or apatite surrounded only by O atoms (hypothesis 1 in Fig. 1). Secondly, Sr2+ cations could be engaged in the hydrated poorly crystalline apatite region present at the surface of calcium phosphate nanocrystals (hypothesis 2 in Fig. 1). Finally, a substitution could occur between Sr2+ cations and Ca2+ cations inside calcium phosphate nanocrystals on either crystallographic site (I) or (II) (hypothesis 3 in Fig. 1).
Sr is also present in apatites involved in pathological calcifications. For such biological samples the key point comes from the fact that oligoelements may control the nanocrystalline morphology which constitutes the calcification (Oka et al., 1987; Grases et al., 1989). It is worth mentioning that nanocrystal morphology is a key parameter for medical diagnosis (Daudon et al., 1993). In the case of kidney stones, depending on the morphology, the associated pathology has either a dietary or a severe genetic origin (Daudon et al., 2008, 2009). Regarding bones, a recent investigation (Li et al., 2010) has shown, through X-ray scattering, that strontium is incorporated into crystalline minerals only in newly formed bone during strontium ranelate treatment. As underlined in several publications, scattering techniques (Guinier, 1956; Fratzl et al., 1996; Camacho et al., 1999) are sensitive to strontium content within the mineral crystals, but ignore other types of non-crystalline strontium deposits.
The present study was designed to investigate the local environment of Sr2+ cations through in a set of biological apatites engaged in physiological as well as pathological calcifications. (Sayers et al., 1971) is especially useful for characterizing such calcifications (Binsted et al., 1982; Hukins et al., 1986; Harries et al., 1987; Peters et al., 2000; Bazin et al., 2009a,b; Nguyen et al., 2011). As underlined previously, scattering techniques are sensitive only to strontium content within the mineral crystals and biological compounds may be poorly crystalline or amorphous. yields an average structural description of the local environment of Sr2+, this average being made over all Sr2+ present in the sample, including crystalline and non-crystalline strontium entities. Even if is insensitive to polydispersity (Moonen et al., 1995), constitutes an elegant complementary structural description to structural data obtained from scattering techniques for materials without long-range order (Bazin et al., 1997a). In addition, measurements can be performed directly on a sample with minimal preparation.
As emphasized previously (Bazin et al., 2006), encompasses both XANES and extended X-ray absorption fine structure (EXAFS), and provides an opportunity to evaluate the local order around each element selected through its The present study is based on the XANES part of to evaluate the local environment of Sr2+ cations on a set of physiological and pathological calcifications. Moreover, a set of numerical simulations using the FEFF9 program (Rehr et al., 2009; Ankudinov et al., 1998, 2002) have been performed in order to assess the localization of Sr2+ cations inside the apatite crystal.
2. Materials and methods
The biological samples (Table 1) analysed in the present investigation came from two different institutions. More precisely, kidney stones and bones came from Necker Hospital and Lariboisière Hospital (Paris), respectively.
|
All the samples have been characterized by Fourier transform infrared (FTIR) spectroscopy (Paschalis et al., 2011). To do so, an FTIR spectrometer, Vector 22 (Bruker Spectrospin, Wissembourg, France), was used according to the analytical procedure previously described (Estepa & Daudon, 1997). Data were collected in the absorption mode between 4000 and 400 cm−1 with a resolution of 4 cm−1.
All the samples were investigated on the DIFFABS beamline at synchrotron SOLEIL (France). This experimental set-up is mainly dedicated to structural characterization by combining, when necessary, X-ray diffraction, X-ray absorption and et al., 2008; Carpentier et al., 2010). In the present case, the beamline was optimized in order to measure XANES at the Sr K-edge. The energy range was selected between 16000 and 16200 eV, with an energy step of 0.5 eV and a 3 s acquisition time. The size of the beam was determined by a set of slits (100–500 µm).
spectroscopies. The SOLEIL synchrotron was running at 2.75 GeV with an average current of 300 mA in the new TOP/UP mode. Details regarding the monochromator, the mirror, as well as the devices used for the detection on DIFFABS, are described in previous studies (BazinThe ab initio FEFF9 code (Rehr et al., 2000, 2009) is quite useful for performing full multiple-scattering calculations in real space for crystalline as well as for nanometer scale solids, either at the K- or L-edges (Bazin et al., 1997b; Bazin & Rehr, 2003). Structural as well as electronic information is contained in the modulations superimposed on the otherwise smooth atomic In the module of FEFF9, the oscillatory structure is expressed as a sum of independent multiple-scattering contributions. Each contribution can be expressed in the following form,
where we have separated the oscillatory and damping terms from the n represents different single- or multiple-scattering paths and Ln is the total path length; F and θn are the amplitude and phase which depend on the photoelectron wavenumber k, on the specifics of the scattering path n, and on the atomic potential parameters. For XANES spectra, these multiple-scattering path contributions can also be summed to all orders by matrix inversion methods, as implemented in the full multiple-scattering algorithms in FEFF9.
and disorder. As previously described,3. Results
XANES spectra collected at the Sr K-edge, for physiological (bones) as well as pathological (kidney stones) calcifications, are plotted in Fig. 2. Beyond an intense white line, which reflects the of Sr2+ ions (4d0 electron configuration), only one oscillation (16163 eV) is measured in the case of kidney stones (Fig. 2), while for bones a small feature exists (at 16135 eV) just after the white line and before the first oscillation.
In order to extract significant structural information from such XANES spectra, a set of numerical simulations using the FEFF9 program have been performed. Hydroxyapatite (HAP) can be described as a hexagonal stacking of (PO4)3− groups with two kinds of tunnels parallel to the c-axis (Elliott, 1994; Brown & Constantz, 1994; Wilson & Elliott, 1999; White & ZhiLi, 2003). The first coincides with the ternary axis of the structure and is occupied by Ca2+, noted as Ca2+(I) ions. The second is linked by oxygen and other calcium ions, noted Ca2+(II), and is occupied by OH− ions. Ca2+(I) and Ca2+(II) are present in a 2:3 ratio.
Regarding the replacement of Ca2+ cations by other cations, numerous studies have been performed in order to locate the foreign cations in the HAP structure. Occupation depends on the dimension of the cations (Tamm & Peld, 2006). Larger ones are preferentially occupied by the Ca2+(II) sites, since in site Ca2+(II) the arrangement of the staggered equilateral triangles allows the optimization of the packing of large ions. In the opposite way, for the Ca2+(I) crystallographic site, the strict alignment in the columns causes a stronger repulsion. Some authors have recently noted that Zn atoms may occupy interstitial sites in HAP (Gomes et al., 2011).
We have performed a set of numerical simulations taking into account the location of Sr2+ cations either in crystallographic site (I) or in site (II). For each crystallographic site we performed several simulations in order to assess the different structural hypotheses previously selected. For example, for the simulation labelled Sr2+(I)-O, the local environment of Sr2+ cations is made only by O atoms (details regarding the spatial repartition of O atoms around Sr2+ cations are given in Fig. 3), and thus corresponds to the structural hypothesis. A similar codification has been followed for Sr2+ cations in crystallographic site (II). Numerical simulations have been plotted in Figs. 4 and 5.
We must also pay attention to the well known linear variation of the crystallographic parameters with the strontium content. Since the Sr (1.12 Å) ionic radius is larger than that of Ca (0.99 Å), such a substitution process modifies the crystallographic parameters. These structural parameters can be estimated by a linear fit procedure considering the end members Ca5(PO4)3OH (a = 9.432 Å, c = 6.881 Å) and Sr5(PO4)3OH (a = 9.745 Å, c = 7.265 Å) (Kay et al., 1964; Sudarsanan & Young, 1972). These modifications of the cell parameters obviously change the values of the interatomic distances. We have therefore performed a similar set of numerical simulations for different crystallographic parameters (Figs. 6 and 7). With the content of Sr in biological apatite being quite small, we choose the following changes of the cell parameters: a = 9.432 Å and c = 6.881 Å to a = 9.4633 Å and c = 6.9039 Å.
For most of these numerical simulations we observed only a white line at the Sr K-edge followed by a simple oscillation of the as we have observed for experimental data. This is definitely not the case for simulations corresponding to Sr2+(I)-OPCaPO and Sr2+(I)-OPCaPOCa, for which some structures just after the white line have been observed (see arrows in Figs. 4 and 6).
4. Discussion
Concretion, e.g. a kidney stone, as well as ectopic calcification often associated with tissue alteration, constitute pathological calcifications. Also, normal physiological calcifications such as bone or teeth may become pathological through the influence of diseases. Regarding their chemical compositions, numerous chemical phases have been identified. In the case of kidney stones, numerous publications have noted the presence of calcium oxalate, calcium phosphate, uric acid, ammonium hydrogen urate and magnesium ammonium phosphate.
In this study we consider pathological calcifications made of Ca phosphate apatites for which −1 (Bazin et al., 2006, 2007). In the case of Ca oxalate the quantity of strontium is quite low (74 ± 56 µg g−1). Based on these experimental facts, we can assume that most of the Sr2+ cations are linked to the Ca phosphate apatites.
analyses have measured quite a high quantity of strontium equal to 455 ± 364 µg gSeveral publications have discussed the incorporation of Sr2+ cations in Ca phosphate apatites, pointing out significant structural modifications for apatite crystals. Among them, a decrease in the dimensions of the coherent length of the perfect crystalline domains at low strontium content was noticed (Bigi et al., 2007; Donnell et al., 2008; Li et al., 2007). An increase of the coherent length is also observed at high strontium content. In contrast, other authors state that the presence of the strontium ion increases the crystallinity as well as crystallite size of HAP (Suganthi et al., 2011). The complete set of such studies indicates that the insertion of Sr2+ cations in apatite is a complex process which is sensitive to preparation methods.
Similar structural investigations have been performed on bones and some discrepancy exists among the different results probably due to the experimental protocol, as mentioned for studies on synthetic samples. In an in vitro investigation (Korbas et al., 2004), the authors describe a simple Ca2+/Sr2+ substitution in the HAP By contrast, a similar in vitro study (Verberckmoes et al., 2004) underlines a potential physicochemical interference by Sr with HAP formation and crystal properties.
Insertion of Sr2+ cation in apatites can be discussed from both physiological and chemical points of view. From a physiological point of view, Sr2+ cations follow the Ca2+ metabolic pathways (Pors Nielsen, 2004). From a chemical point of view, Ca2+ and Sr2+ have similar chemistry (these two elements sharing the same column in the periodic table), and commonly substitute for one another in minerals (Rokita et al., 1993; Terra et al., 2009).
Regarding Sr2+ cation localization in bone, different structural hypotheses take into account the physicochemistry of biological apatites (Fig. 1). At first, Sr2+ cations are adsorbed at the surface of collagen or apatite surrounded only by O atoms (hypothesis 1 in Fig. 6). This structural configuration has been studied by Seward et al. (1999) through measurements. Sr2+ cations can be engaged in the hydrated poorly crystalline apatite part. This structural configuration takes into account the structural model (Cazalbou et al., 2004; Rey et al., 2007) for biological apatites (hypothesis 2 in Fig. 1). Finally, a substitution occurs between Sr2+ cations and Ca2+ cations inside calcium phosphate nanocrystals either on crystallographic sites (I) or (II) (hypothesis 3 in Fig. 1). In the skeleton the total quantity of Sr is not insignificant, the Sr/Ca being estimated in the human skeleton to be in the range 0.1–0.3 mg g−1 (Cabrera et al., 1999). This physiological fact offers the opportunity to describe the status of Sr2+ cations in biological apatites.
The nature of structural characteristics which can be given by XANES spectroscopy is well known. Such an experimental technique takes advantage of recent theoretical advances which led to the development of several ab initio codes for the simulation of X-ray absorption spectra. At the Ca K-edge different structural investigations have already used this opportunity (Sowrey et al., 2004; Laurencin et al., 2010).
XANES or K-edge have been used in different materials science studies (Pingitore et al., 1992; Parkman et al., 1998; McKeown et al., 2002; Finch et al., 2003; Singer et al., 2008). In our case we have measured only one oscillation after the Sr K-edge in the case of pathological calcifications, while, for physiological calcifications, bones, a clear feature exists just after the white line (Fig. 2).
at the SrRegarding numerical simulations, structural hypotheses 1, 2 and 3 have been considered (Fig. 1). Sr2+(I)-O and Sr2+(II)-O correspond to structural hypothesis 1, Sr2+(I)-OP, Sr2+(II)-OP, Sr2+(II)-OPO and Sr2+(II)-OPOP may correspond to hypothesis 2. Finally, Sr2+(I)-OPCa, Sr2+(I)-OPCaO, Sr2+(I)-OPCaOCa, Sr2+(II)-OPOPCa and Sr2+(II)-OPOPCaOCa correspond to hypothesis 3. For the numerical simulations corresponding to structural hypotheses 1 and 2, we observed only a white line at the Sr K-edge followed by a simple oscillation of the as we have observed for experimental data related to pathological calcifications.
At this point we have to emphasize that all Ca phosphates have a high Ca 2+–O–(Ca2+ or Sr2+) type multiple-scattering paths.
and low This explains why the role of local lattice distortions has not been taken into account. Since specific XANES features, owing to the first shell, occur with low coordination numbers and high the set of simulations which have been carried out suggest that the additional features are associated with cation–cation scattering enhanced probably by SrIt is worth mentioning that no feature after the white line is observed for Sr2+ adsorbed at the surface surrounded only by O atoms and phosphate groups (structural hypotheses 1 and 2). In an opposite way, for simulations corresponding to Sr2+ cations inserted in site (I) of HAP [Sr2+(I)-OPCaPO and Sr2+(I)-OPCaPOCa as defined in Fig. 2], some structures exist just after the white line (Figs. 4 and 6). These interesting features show that the localization of Sr2+ cations in bones can be assessed through XANES spectroscopy and constitutes an exciting way to complete information coming from other characterization techniques such as scattering ones.
Experimental data seem to indicate that a simple adsorption of Sr2+ cations exists in the case of pathological calcifications while an insertion of Sr2+ is observed at least for one physiological calcification (BPCart). For the other three physiological samples, AgCart, VECart and VMCart, the evidence is much weaker.
5. Conclusion
Numerous studies have been performed in order to localize the environment of Sr in apatites. The literature shows that the insertion of Sr is quite dependent on the preparation procedure for synthetic as well as in vitro samples. In this work biological apatites have been investigated through XANES spectroscopy and a set of numerical simulations using the FEFF9 program have been performed.
The key point of this structural investigation is related to the opportunity to assess the localization of Sr2+ cations in biological apatites through XANES spectroscopy. Owing to the high disorder of the first coordination spheres of Sr, simple adsorption of Sr2+ cations at the surface of apatite is related to the absence of features in the XANES part of the X-ray absorption spectra. In contrast, a substitution Sr/Ca with Sr2+ cations positioned on crystallographic site (I) gives rise to the presence of features in XANES. The complete set of experimental data seems to indicate that a simple adsorption of Sr2+ cations exists in the case of pathological calcifications while an insertion of Sr2+ is observed for physiological ones.
Finally, further experiments and numerical simulations taking into account local 2+ cations (simple adsorption or insertion). Is it possible to draw a line between life and chemistry through the localization of Sr in apatite? The question is open for discussion.
are called for, to provide definitive evidence of a possible relationship between the nature of the calcification (physiological and pathological) and the adsorption mode of SrAcknowledgements
This work was supported by the Physics and Chemistry Institutes of CNRS and by a ANR-09-BLAN-0120-02 contract.
References
Ankudinov, A. L., Bouldin, C. E., Rehr, J. J., Sims, J. & Hung, H. (2002). Phys. Rev. B, 65, 104–107. Web of Science CrossRef Google Scholar
Ankudinov, A. L., Ravel, B., Rehr, J. J. & Conradson, S. (1998). Phys. Rev. B, 58, 7565–7576. Web of Science CrossRef CAS Google Scholar
Bazin, D., Carpentier, X., Brocheriou, I., Dorfmuller, P., Aubert, S., Chappard, C., Thiaudière, D., Reguer, S., Waychunas, G., Jungers, P. & Daudon, M. (2009b). Biochimie, 91, 1294–1300. Web of Science CrossRef PubMed CAS Google Scholar
Bazin, D., Carpentier, X., Traxer, O., Thiaudière, D., Somogyi, A., Reguer, S., Waychunas, G., Jungers, P. & Daudon, M. (2008). J. Synchrotron Rad. 15, 506–509. Web of Science CrossRef CAS IUCr Journals Google Scholar
Bazin, D., Chappard, Ch., Combes, Ch., Carpentier, X., Rouzière, S., André, G., Matzen, G., Allix, M., Thiaudière, D., Reguer, S., Jungers, P. & Daudon, M. (2009a). Osteoporosis Intl, 20, 1065–1075. Web of Science CrossRef CAS Google Scholar
Bazin, D., Chevallier, P., Matzen, G., Jungers, P. & Daudon, M. (2007). Urol. Res. 35, 179–184. Web of Science CrossRef PubMed CAS Google Scholar
Bazin, D., Daudon, M., Chevallier, P., Rouzière, S., Elkaim, E., Thiaudière, D., Fayard, B., Foy, E., Albouy, P. A., André, G., Matzen, G. & Veron, E. (2006). Ann. Biol. Clin. 64, 125–139. CAS Google Scholar
Bazin, D. & Rehr, J. (2003). J. Phys. Chem. B, 107, 12398–12402. Web of Science CrossRef CAS Google Scholar
Bazin, D., Sayers, D. & Rehr, J. (1997a). J. Phys. Chem. B, 101, 1140–1150. Google Scholar
Bazin, D., Sayers, D., Rehr, J. & Mottet, Ch. (1997b). J. Phys. Chem. B, 101, 5332–5336. CrossRef CAS Web of Science Google Scholar
Bellis, D. J., Li, D., Chen, Z., Gibson, W. M. & Parsons, P. J. (2009). J. Anal. At. Spectrom. 24, 622–626. Web of Science CrossRef CAS PubMed Google Scholar
Bigi, A., Boanini, E., Capuccini, C. & Gazzano, M. (2007). Inorg. Chim. Acta, 360, 1009–1016. Web of Science CrossRef CAS Google Scholar
Binsted, N., Hasnain, S. S. & Hukins, D. W. (1982). Biochem. Biophys. Res. Com. 107, 89–92. CrossRef CAS PubMed Web of Science Google Scholar
Boivin, G., Deloffre, P., Perrat, B., Panczer, G., Boudeuille, M., Mauras, Y., Allain, P., Tsouderos, Y. & Meunier, P. J. (1996). J. Bone Miner. Res. 11, 1302–1311. CrossRef CAS PubMed Google Scholar
Bradley, D. A., Moger, C. J. & Winlove, C. P. (2007b). Nucl. Instrum. Methods Phys. Res. A, 580, 473–476. CrossRef CAS Google Scholar
Bradley, D. A., Muthuvelu, P., Ellis, R., Green, E. M., Attenburrow, D., Barrett, R., Arkill, K., Colridge, D. B. & Winlove, C. P. (2007a). Nucl. Instrum. Methods Phys. Res. B, 263, 1–6. CrossRef CAS Google Scholar
Brown, P. W. & Constantz, B. (1994). Hydroxyapatite and Related Materials. Boca Raton: CRC Press. Google Scholar
Cabrera, W. E., Schrooten, I., De Broe, M. E. & D'Haese, P. C. (1999). J. Bone Miner. Res. 14, 661–668. Web of Science CrossRef PubMed CAS Google Scholar
Camacho, N. P., Rinnerthaler, S., Paschalis, E. P., Mendelsohn, R., Boskey, A. L. & Fratzl, P. (1999). Bone, 25, 287–293. Web of Science CrossRef PubMed CAS Google Scholar
Carpentier, X., Bazin, D., Jungers, P., Reguer, S., Thiaudière, D. & Daudon, M. (2010). J. Synchrotron Rad. 17, 374–379. Web of Science CrossRef CAS IUCr Journals Google Scholar
Cazalbou, S., Eichert, D., Drouet, Ch., Combes, Ch. & Rey, Ch. (2004). C. R. Palevol, 3, 563–572. Web of Science CrossRef Google Scholar
Cooper, C. (1999). Osteoporosis Intl, 9(Suppl. 2), S2–S8. Google Scholar
Dahl, S. G., Allain, P., Marie, P. J., Mauras, Y., Boivin, G., Ammann, P., Tsouderos, Y., Delmas, P. D. & Christiansen, C. (2001). Bone, 28, 446–453. Web of Science CrossRef PubMed CAS Google Scholar
Daudon, M., Bader, C. A. & Jungers, P. (1993). Scan. Microsc. 7, 1081–1095. CAS Google Scholar
Daudon, M., Bazin, D., André, G., Jungers, P., Cousson, A., Chevallier, P., Véron, E. & Matzen, G. (2009). J. Appl. Cryst. 42, 109–115. Web of Science CrossRef CAS IUCr Journals Google Scholar
Daudon, M., Junger, P. & Bazin, D. (2008). N. Engl. J. Med. 359, 100–102. CrossRef PubMed CAS Google Scholar
Elliott, J. C. (1994). Structure and Chemistry of the Apatites and Other Calcium Orthophosphates. Amsterdam: Elsevier. Google Scholar
Estepa, L. & Daudon, M. (1997). Biospectroscopy, 3, 347–355. CrossRef CAS Web of Science Google Scholar
Farlay, D., Boivin, G., Panczer, G., Lalande, A. & Meunier, P. J. (2005). J. Bone Miner. Res. 20, 1569–1578. Web of Science CrossRef PubMed CAS Google Scholar
Finch, A. A., Allison, N., Sutton, S. R. & Newvilles, M. (2003). Geochim. Cosmochim. Acta, 67, 1189–1194. CAS Google Scholar
Fratzl, P., Schreiber, S., Roschger, P., Lafage, M. H., Rodan, G. & Klaushofer, K. (1996). J. Bone Miner. Res. 11, 248–253. CrossRef CAS PubMed Google Scholar
Gomes, S., Nedelec, J. M., Jallot, E., Sheptyakov, D. & Renaudin, G. (2011). Chem. Mater. 23, 3072–3085. Web of Science CrossRef CAS Google Scholar
Grases, F., Genestar, C. & Mill, A. (1989). J. Cryst. Growth, 94, 507–511. CrossRef CAS Web of Science Google Scholar
Guinier, A. (1956). X-ray Diffraction in Crystals, Imperfect Crystals and Amorphous Bodies. Paris: Dunod. Google Scholar
Harries, J. E., Hukins, D. W. L., Holt, C. & Hasnain, S. S. (1987). J. Cryst. Growth, 84, 563–570. CrossRef CAS Web of Science Google Scholar
Holroyd, C., Cooper, C. & Dennison, E. (2008). Best Pract. Res. Clin. Endocrinol. Metab. 22, 671–685. Web of Science CrossRef PubMed Google Scholar
Hukins, D. W. L., Cox, A. J. & Harries, J. E. (1986). J. Phys. C8, 1181–1190. Google Scholar
Kay, M. I., Young, R. A. & Posner, A. S. (1964). Nature (London), 204, 1050–1052. CrossRef PubMed CAS Google Scholar
Korbas, M., Rokita, E., Meyer-Klaucke, W. & Ryczek, J. (2004). J. Biol. Inorg. Chem. 9, 67–76. Web of Science CrossRef PubMed CAS Google Scholar
Laurencin, D., Wong, A., Chrzanowski, W., Knowles, J. C., Qiu, D., Pickup, D. M., Newport, R. J., Gan, Z., Duer, M. J. & Smith, M. E. (2010). Phys. Chem. Chem. Phys. 12, 1081–1091. Web of Science CrossRef CAS PubMed Google Scholar
Li, C., Paris, O., Siegel, S., Roschger, P., Paschalis, E. P., Klaushofer, K. & Fratzl, P. (2010). J. Bone Miner. Res. 25, 968–975. Web of Science CrossRef PubMed CAS Google Scholar
Li, Z. Y., Lam, W. M., Yang, C., Xu, B., Ni, G. X., Abbah, S. A., Cheung, K. M., Luk, K. D. & Lu, W. W. (2007). Biomaterials, 28, 1452–1460. Web of Science CrossRef PubMed CAS Google Scholar
McKeown, D. A., Kot, W. K. & Pegg, I. L. (2002). J. Non Cryst. Solids, 317, 290–300. Web of Science CrossRef Google Scholar
Marie, P. J. (2005). Curr. Opin. Pharmacol. 5, 633–636. Web of Science CrossRef PubMed CAS Google Scholar
Meunier, P. J., Roux, C., Seeman, E., Ortolani, S., Badurski, J. E., Spector, T. D., Cannata, J., Balogh, A., Lemmel, E. M., Pors-Nielsen, S., Rizzoli, R., Genant, H. K. & Reginster, J. Y. (2004). N. Engl. J. Med. 350, 459–468. Web of Science CrossRef PubMed CAS Google Scholar
Moonen, J., Slot, J., Lefferts, L., Bazin, D. & Dexpert, H. (1995). Physica B, 208–209, 689–690. CrossRef Web of Science Google Scholar
Nguyen, C., Ea, H. K., Thiaudiere, D., Reguer, S., Hannouche, D., Daudon, M., Lioté, F. & Bazin, D. (2011). J. Synchrotron Rad. 18, 475–480. Web of Science CrossRef CAS IUCr Journals Google Scholar
Ni, G. X., Lu, W. W., Xu, B., Chiu, K. Y., Yang, C., Li, Z. Y., Lam, W. M. & Luk, K. D. K. (2006). Biomaterials, 27, 5127–5133. Web of Science CrossRef PubMed CAS Google Scholar
O'Donnell, M. D., Fredholm, Y., de Rouffignac, A. & Hill, R. G. (2008). Acta Biomater. 4, 1455–1464. PubMed CAS Google Scholar
Oka, T., Yoshioka, T., Koide, T., Takaha, M. & Sonoda, T. (1987). Urol. Intl, 42, 89–93. CrossRef CAS Google Scholar
Parkman, R. H., Charnock, J. M., Livens, F. R. & Vaughan, D. J. (1998). Geochim. Cosmochim. Acta, 62, 1481–1492. Web of Science CrossRef CAS Google Scholar
Paschalis, E. P., Mendelsohn, R. & Boskey, A. L. (2011). Clin. Orthop. Relat. Res. 469, 2170–2178. Web of Science CrossRef PubMed Google Scholar
Peters, F., Schwarz, K. & Epple, M. (2000). Thermochim. Acta, 361, 131–138. Web of Science CrossRef CAS Google Scholar
Pingitore, N. E., Lytle, F. W., DCavies, B. M., Eastmann, M. P., Eller, P. G. & Larson, E. M. (1992). Geochim. Cosmochim. Acta, 56, 1531–1538. CrossRef CAS Google Scholar
Pors Nielsen, S. (2004). Bone, 35, 583–588. Web of Science CrossRef PubMed CAS Google Scholar
Rehr, J. J. & Albers, R. C. (2000). Rev. Mod. Phys. 72, 621–660. Web of Science CrossRef CAS Google Scholar
Rehr, J. J., Kas, J. J., Prange, M. P., Sorini, A. P., Takimoto, Y. & Vila, F. (2009). C. R. Phys. 10, 548–559. Web of Science CrossRef CAS Google Scholar
Rey, Ch., Combes, Ch., Drouet, C., Lebugle, A., Sfihi, H. & Barroug, A. (2007). Materialwiss. Werkst. Tech. 38, 996–1002. Web of Science CrossRef CAS Google Scholar
Rochefort, G. Y., Pallu, S. & Benhamou, C. L. (2010). Osteoporosis Intl, 21, 1457–1469. Web of Science CrossRef CAS Google Scholar
Rokita, E., Hermes, C., Nolting, H. F. & Ryczek, J. (1993). J. Cryst. Growth, 130, 543–552. CrossRef CAS Web of Science Google Scholar
Roschger, P., Manjubala, I., Zoeger, N., Meirer, F., Simon, R., Li, C., Fratzl-Zelman, N., Misof, B. M., Paschalis, E. P., Streli, C., Fratzl, P. & Klaushofer, K. (2010). J. Bone Miner. Res. 25, 891–900. Web of Science CrossRef PubMed Google Scholar
Roux, Ch. (2007). Bone, 40, S9–S11. Web of Science CrossRef CAS Google Scholar
Sayers, D. A., Stern, E. A. & Lytle, F. W. (1971). Phys. Rev. Lett. 27, 1204–1207. CrossRef CAS Web of Science Google Scholar
Seward, T. M., Henderson, C. M. B., Charnock, J. M. & Driesner, T. (1999). Geochim. Cosmochim. Acta, 63, 2409–2418. Web of Science CrossRef CAS Google Scholar
Singer, D. M., Johnson, S. B., Catalano, J. G., Farges, F. & Brown, G. E. (2008). Geochim. Cosmochim. Acta, 72, 5055–5069. CrossRef CAS Google Scholar
Sowrey, F. E., Skipper, L. J., Pickup, D. M., Drake, K. O., Lin, Z., Smith, M. E. & Newport, R. J. (2004). Phys. Chem. Chem. Phys. 6, 188–192. Web of Science CrossRef CAS Google Scholar
Sudarsanan, K. & Young, R. A. (1972). Acta Cryst. B28, 3668–3670. CrossRef CAS IUCr Journals Web of Science Google Scholar
Suganthi, R. V., Elayaraja, K., Ahymah Joshy, M. I., Sarah Chandra, V., Girija, E. K. & Narayana Kalkura, S. (2011). Mater. Sci. Eng. 31, 593–601. CrossRef CAS Google Scholar
Tamm, T. & Peld, M. (2006). J. Solid State Chem. 179, 1581–1587. Web of Science CrossRef CAS Google Scholar
Terra, J., Dourado, E. R., Eon, J. G., Ellis, D. E., Gonzalez, G. & Rossi, A. M. (2009). Phys. Chem. Chem. Phys. 11, 568–577. Web of Science CrossRef PubMed CAS Google Scholar
Verberckmoes, S. C., Behets, G. J., Oste, L., Bervoets, A. R., Lamberts, L. V., Drakopoulos, M., Somogyi, A., Cool, P., Dorriné, W., De Broe, M. E. & D'Haese, P. C. (2004). Calcif. Tissue Intl, 75, 405–415. Web of Science CrossRef CAS Google Scholar
White, T. J. & ZhiLi, D. (2003). Acta Cryst. B59, 1–16. Web of Science CrossRef CAS IUCr Journals Google Scholar
Wilson, R. M. & Elliott, J. C. (1999). Am. Mineral. 84, 1406–1414. CAS Google Scholar
Zhang, Y., Cheng, F., Li, D., Wang, Y., Zhang, G., Liao, W., Tang, T., Huang, Y. & He, W. (2005). Biol. Trace Elem. Res. 103, 177–185. Web of Science CrossRef PubMed CAS Google Scholar
Zheng, Y., Jin, W., Wanga, C., Yang, M., Shen, H., Eisa, M. H. & Mi, Y. (2009). Nucl. Instrum. Methods Phys. Res. B, 267, 2128–2131. Web of Science CrossRef CAS Google Scholar
Zoeger, N., Streli, C., Wobrauschek, P., Jokubonis, C., Pepponi, G., Roschger, P., Hofstaetter, J., Berzlanovich, A., Wegrzynek, D., Chinea-Cano, E., Markowicz, A., Simon, R. & Falkenberg, G. (2008). X-ray Spectrom. 37, 3–11. Web of Science CrossRef CAS Google Scholar
© International Union of Crystallography. Prior permission is not required to reproduce short quotations, tables and figures from this article, provided the original authors and source are cited. For more information, click here.