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Logo of nihpaAbout Author manuscriptsSubmit a manuscriptHHS Public Access; Author Manuscript; Accepted for publication in peer reviewed journal;
Nature. Author manuscript; available in PMC 2009 November 30.
Published in final edited form as:
PMCID: PMC2785034

Sphingosine-1-phosphate mobilizes osteoclast precursors and regulates bone homeostasis


Osteoclasts (OCs) are bone-resorbing multinuclear giant cells that differentiate from mononuclear macrophage/monocyte-lineage hematopoietic precursors. Although many molecules are known to contribute to OC differentiation, RANKL chief among them, the mechanisms controlling the recruitment and homing of OC precursors (OPs) to the bone surface have not been elucidated. Here we report that sphingosine-1-phosphate (S1P) controls the movement of OPs between the blood and their site of differentiation. Cells with the properties of OPs express functional S1P1 receptors and exhibit positive chemotaxis along an S1P gradient in vitro. Intravital two-photon imaging of bone tissues revealed that a potent S1P1 agonist, SEW2871, stimulated motility of OP-containing monocytoid populations in vivo. OC/monocyte (CD11b) lineage-specific conditional S1P1 knockout mice showed osteoporotic changes due to increased OC attachment to bone surface, suggesting a crucial role of the S1P-S1P1 system in recirculation of OPs to blood where S1P levels are high. Furthermore, treatment with the S1P1 agonist FTY720 relieved ovariectomy-induced osteoporosis in mice by facilitating recirculation of OP-containing cell populations and reducing the number of mature OCs attached to the bone surface. This study provides evidence that S1P controls the migratory behavior of OPs, dynamically regulating bone mineral homeostasis, and identifies a critical control point in osteoclastogenesis that may be promising as a therapeutic target.

Osteoclasts (OCs) are the only somatic cells with bone-resorbing capacityand as such, they play a critical role not only in normal bone homeostasis (called “bone remodeling”) but also in the pathogenesis of bone destructive disorders such rheumatoid arthritis and osteoporosis1. A major focus of research in the field has been on gene regulation by osteoclastogenic cytokines, such as receptor activator of NFκB - ligand (RANKL) and TNFα, both of which have been well documented to contribute to osteoclast terminal differentiation2,3. A critical process that has been less well studied is the trafficking of OC precursors (OPs) to and from the bone surface, where they undergo cell fusion to form the fully differentiated multinucleated cells that mediate bone resorption. Do the same cytokines (RANKL and TNFα) known to be critical for mature OC generation also control this initial stage of osteoclastogenesis or is another set of molecules involved? To investigate the factors involved in regulation of OP cell dynamics at the bone surface, we examined the likely role of chemokines and screened several such molecules for their capacity to affect migration of monocytes with the properties of OP. Here we report that sphingosine-1-phosphate, a lipid mediator enriched in blood4,5, induces chemotaxis and regulates migration of OPs not only in culture but in vivo, contributing to dynamic control of bone mineral homeostasis. We also show that pharmacologic manipulation of the S1P signaling pathway in monocytoid cells containing OPs has a dramatic effect on bone mineralization, suggesting that this pathway may be of interest as a drug target in diseases in which OC over- or under-activity underlies pathology.

Because of its role in controlling cell migration in other tissues, we initially focused on S1P and the Edg family of receptors (collectively known as S1P receptors) responsive to this lipid mediator. RAW264.7, a murine monocyte cell line, and mouse bone marrow-derived, M-CSF-dependent monocytes (BM-MDM), both of which can differentiate into osteoclast-like cells upon exposure to RANKL and represent widely employed in vitro models of OPs, each express mRNAs encoding two receptors for S1P (S1P1 and S1P2). The expression of S1P1 mRNA decreased upon RANKL stimulation (Fig. 1a, b), and this transcriptional repression was dependent on NF-κB (blocked by BAY11-7085), but not on NF-AT (blocked by cyclosporin A) (Fig. 1b), both of which have been recognized as crucial transcriptional factors for osteoclastogenesis1-3. S1P1 protein expression, as detected by immunocytochemistry, was also reduced by RANKL stimulation (Fig. 1c). In accord with these in vitro findings, strong immunoreactivity for S1P1 could be detected in mononuclear cells in native bone tissues (Fig. 1d, arrowheads), whereas weaker staining was seen in large cells lining bone trabeculae (Fig. 1d, asterisks) that are likely to be mature OCs (Mean fluorescence intensities; 49.1 ± 5.8 and 19.4 ± 2.0, in mononuclear cells and attached cells, respectively (p = 0.0003)). Both RAW264.7 (Fig. 1f) and BM-MDM (not shown) exhibited positive chemotactic responses to an S1P gradient in vitro and these responses were greatly attenuated by pretreatment with RANKL (Fig. 1f). This latter finding is concordant with the results showing RANKL-dependent reduction in the expression of S1P1 (Fig. 1a). S1P-directed chemotaxis was blocked by pertussis toxin (PTX)6 and NSC237667 (Fig. 1f) and S1P induced an increase in the GTP-bound, active form of Rac (GTP-Rac) (Fig. 1e), suggesting the involvement of Giα and Rac in the S1P1 chemotactic signaling pathway in these cells, in accordance with previous reports8, 9. In vitro chemotaxis of RAW264.7 was also examined using a dynamic imaging approach, where cells could be observed vigorously migrating toward S1P-containing medium (Fig. 1g; Supplementary Videos 1 and 2). We also detected S1P-induced up-regulation of integrins expressed in monocytoid cells, suggesting that S1P-mediated alterations in cell adhesion could contribute to chemotaxis in vivo (Supplementary Fig. 1).

Figure 1
Expression and function of S1P receptors in osteoclast precursor monocytes

To investigate whether OP migration is affected by S1P gradients in vivo, we performed intravital two-photon imaging of calvaria bone tissues10, 11 and examined the migratory behavior of monocytoid cells containing OPs resident in the marrow spaces. We used two strains of mice expressing EGFP in subsets of myeloid cells: CX3CR1-EGFP knock-in (heterozygous) mice12,13 and CSF1R-EGFP transgenic mice14. In both strains, hematopoietic monocyte-lineage cell types predominantly expressed EGFP12,13 and we confirmed that tartrate-resistant acid phosphatase (TRAP)-positive mature OCs expressed EGFP in these animals (Supplementary Fig. 2), suggesting that EGFP+ cells do contain OP monocytes. Nearly two thirds of CX3CR1-EGFP cells and half of CSF1R-EGFP cells express RANK, a receptor for RANKL (Supplementary Table 1), suggesting a capacity for many of the fluorescent cells to differentiate into mature OCs.

CX3CR1-EGFP positive cells present in bone marrow stromal locations or at the bone surface and not in the blood sinusoidal spaces were generally stationary under control conditions (Fig. 2a, upper panels; Supplementary Video 3). A subset of the labeled cells became motile shortly after the intravenous application of SEW287115, 16 (5 mg/kg), a selective agonist for the S1P1 receptor (Fig. 2a, lower panels; Supplementary Video 4), with some of the mobilized cells entering the blood circulation (not shown). A similar but less pronounced effect of SEW2871 on myeloid cell motility was observed in the bone marrow of CSF1R-EGFP transgenic mice (Supplementary Fig. 3; Supplementary Videos 5 and 6). The difference in the fraction of cells mobilized by SEW2871 treatment in the two mouse strains is likely due to the fact that the EGFP-expressing subsets in these animals are not completely overlapping (Supplementary Table 1). Consistent with these findings, we also observed an elevated percent and absolute number of monocytoid cells in peripheral blood and their reciprocal decrease in bone marrow, but not spleen or liver, following SEW2971 treatment as compared to vehicle controls (Supplementary Fig. 4 and Table 2). These results suggest that bone marrow-resident monocytes, including many OPs, become motile and exit marrow spaces in response to S1P stimulation.

Figure 2
In vivo S1P-mediated increase in motility of osteoclast precursor monocytes visualized using intravital two-photon imaging

To evaluate the in vivo impact of S1P-directed chemotaxis of OPs on bone homeostasis, we examined mice deficient in S1P1. Because S1P1 deficiency causes embryonic lethality17, we generated - osteoclast/monocyte-specific S1P1-deficient (cS1P1-/-) mice by crossing animals bearing conditional S1P1 knockout alleles (S1P1loxP)18 to transgenic mice expressing Cre under the CD11b promoter19, which facilitates deletion of loxP-flanked sequences in monocyte-lineage myeloid cells including OCs. S1P1 mRNA was essentially undetectable by conventional and real-time quantitative RT–PCR analyses in CD11b+ myeloid cells purified from the cS1P1-/- mice (Supplementary Fig. 5a, b) and immunoreactivity for S1P1 was greatly diminished in cS1P1-/- bone tissues (Supplementary Fig. 5c), indicating almost complete ablation of S1P1 expression in this lineage.

Morphohistometric analyses using μCT showed that femora of mice genotyped as S1P1loxP/loxP CD11b-Cre (cS1P1-/-) were osteoporotic, compared with those of control (S1P1+/+ CD11b-Cre) littermates (Fig. 3a, upper panels). Bone tissue density (= BV / TV) of cS1P1-/- mice was significantly lower than that of controls (Fig. 3b), and both trabecular thickness (Tb.Th.) and trabecular density (Tb.N.) were decreased in cS1P1-/- bones (Fig. 3c). Mice genotyped as S1P1loxP/+ CD11b-Cre (heterozygous) were indistinguishable from controls, indicating that a single S1P1 allele is sufficient to sustain normal S1P1-mediated functions.

Figure 3
In vivo impact of S1P1 on bone mineral metabolism

Bone surface attachment of mature OCs was evaluated by immunohistological examination. Both OCs and bone matrices were visualized simultaneously by fluorescence-based staining for TRAP20 and by collagen-derived second harmonic signals elicited by two-photon excitation21, respectively (Supplementary Fig. 6). Images were automatically segmented off-line using a custom software package (F.K., submitted). An “osteoclast attachment ratio” (= bone surface occupied by osteoclasts / total bone surface) was calculated automatically without manual intervention (Fig. 3a, lower panels, and Supplementary Fig. 6). The computational analyses showed that osteoclast attachment to the bone surface was significantly enhanced in cS1P1-/- animals, as compared to controls (Fig. 3d), consistent with - the decrease in bone density in cS1P1-/- mice (Fig. 3b, c). Because S1P has no measurable effect on in vitro osteoclast differentiation stimulated by RANKL (Supplementary Fig. 7), a reasonable interpretation of these data is that the loss of S1P1 function alters the chemotactic behavior of OPs rather than their terminal maturation to OCs or the bone-resorbing action of OCs.

Because the concentration of S1P in blood is higher than that in tissues, S1P-mediated chemotaxis of osteoclast precursors thus would be expected to contribute to their recirculation from bone tissues to systemic blood flow, limiting formation of mature osteoclasts and reducing bone destruction. The present result showing the increased deposition of S1P1-/- OCs on the bone surface strongly supports the concept of S1P-driven precursor recirculation. It has already been reported that OP monocytes (RAW264.7) show positive chemotaxis in vitro toward CXCL12 (SDF-1), a chemokine secreted from bone marrow stromal cells22, leading to a straightforward competitive model for the migration and positioning of OCs (Supplementary Fig. 8): Monocyte-lineage OC precursors come close to the bone surface attracted by CXCL12, however not all of the recruited cells undergo differentiation, and some of the precursors recirculate into the blood flow due to attraction by S1P. Some OPs may be directly derived within bone marrow spaces (Supplementary Fig. 8, dashed arrow), and they are also susceptible to S1P-driven “circulation” into the systemic flow. During OC differentiation induced by RANKL, the expression of S1P1 is repressed (Fig. 1a), which ensures stable localization of the maturing cells on the bone surface. Regulation of OC generation by competing chemokine pathways that attract precursors to and from the bone surface allows finely-tuned dynamic control of osteoclastogenesis during health and in various conditions such as inflammation and metabolic disorders. Bone surface CXCL12 expression has recently been shown to be regulated by sympathetic neuron stimulation23, suggesting an interesting interplay between circulating S1P and the autonomic nervous system for the regulation of OP mobilization.

This newly revealed role of S1P-directed recirculation of OP in bone homeostasis prompted us to examine possible therapeutic implications of this regulatory pathway. FTY720 (Fingolimod) is metabolized after administration to anagonist for four of the five S1P receptors, including S1P1 (but not S1P2), and has emerged as a clinically promising novel immunosuppressive drug24, 25 that presumably acts by limiting effector lymphocyte egress from lymph nodes. FTY720 is currently being tested clinically in multiple sclerosis and allogeneic transplantation26,27, but has not been examined for its effect on bone homeostasis. Here we show that FTY720 has a capacity to ameliorate bone loss in a model of postmenopausal osteoporosis.

Either ovariectomized or sham-operated mice were administered FTY720 (3 mg / kg / day) for four weeks after which excised femora were analyzed by μCT (Fig. 4a, b). FTY720 treatment significantly prevented bone density loss after ovariectomy, but had no effects under control (sham-operated) conditions. Computational morphometric analyses showed that OC attachment was increased upon ovariectomy and partially restored to normal levels by FTY720 administration. We confirmed that FTY720 had no effect on estrogen levels after ovariectomy (Supplementary Table 3). These results suggest that FTY720 relieves ovariectomy-induced bone loss by reducing OC deposition onto bone surfaces. This effect correlated with an increase in circulating CX3CR1-EGFP+ F4/80+ (Fig. 4c) and CD11b+ monocytes (Supplementary Fig. 9), both of which populations include OPs, and a concomitant decrease in monocytoid cells including OPs in the bone marrow (Supplementary Fig. 9 and Table 2). In addition, intravital two-photon imaging revealed that FTY720 significantly stimulated motility of CX3CR1-EGFP+ monocyte-lineage cells (Fig. 4d and Supplementary Video 7). The short-term mobility change seen using FTY720 (as observed by intravital microscopy) was less prominent than that obtained with SEW2871 (Fig. 2). This difference may arise because SEW2871 is active upon intravenous injection, whereas FTY720 needs to be metabolized (phosphorylated) before becoming functional (Supplementary Fig. 10). We cannot rule out, however, that phospho-FTY720 can activate S1P receptors other than S1P1 that are expressed on other cell types, such as endothelial cells. FTY720 was shown to have no effects on the expression of RANKL or osteoprotegerin (not shown). Taken together, these results indicate that FTY720, a potent S1P1 agonist, promotes the recirculation of OP monocytes from bone surface, an effect that counteracts ovariectomy-induced augmentation of osteoclastogenesis. This agonist effect of FTY720 on myeloid cells directly accessible to the blood circulation differs from the consequence of lymphocyte S1P1 engagement by phosphorylated FTY720 within secondary lymphoid tissues, in which case downmodulation of the receptor results in functional antagonism of this pathway.

Figure 4
Preventive effect of FTY720 on ovariectomy-induced osteoporosis

In conclusion, the present study provides evidence that S1P, as a circulation-attraction molecule, controls the migratory behavior of OPs, dynamically regulating bone mineral homeostasis in collaboration with bone-attraction molecules, such as CXCL12, and identifies a critical control point in osteoclastogenesis that may be promising as a therapeutic target.

Methods summary

RAW264.7, a murine macrophage/monocyte lineage cell line, and mouse bone marrow-derived M-CSF-dependent monocytes (BM-MDM), containing osteoclast precursor cells, were cultured and stimulated to differentiate using RANKL as previously described28,29. In vitro chemotactic activity was evaluated both using a modified Boyden’s chamber30 or with a visually-accessible chemotactic chamber, EZ-Taxiscan. In vivo S1P-directed chemotaxis of OP monocytes was visualized by intravital two-photon microscopy of mouse calvaria bone tissues of heterozygous CX3CR1-EGFP knock-in mice12 and of CSF1R-EGFP transgenic14 mice, according to a protocol modified from a previous report10,11. The generation of the loxP-flanked S1P1 allele (S1P1loxP)18 and osteoclast/monocyte lineage-specific CD11b-Cre transgenic mice19 have been described previously. Histomorphometry of femurs from OC/monocyte-lineage specific S1P1 conditional knockout (cS1P1-/-) mice, as well as mice ovariectomized / sham-operated and treated with FTY720 or vehicle, were performed using μCT. Assessment of osteoclast attachment to the bone surface was performed using a newly developed fully automated segmentation approach to analyze two-photon images of bone tissue sections in which OCs and bone trabeculae were visualized with fluorescent TRAP staining20 and 2nd harmonic generation from collagen fibers21, respectively. To examine the composition of peripheral blood mononuclear cells (PMCs), the cells were stained with fluorophore-conjugated anti-F4/80, anti-CD11b, and anti-CD3 using conventional methods. Flow cytometric data were collected on a FACSCalibur and analyzed with FlowJo software. All mice were bred and maintained under specific pathogen-free conditions at the animal facility of NIH, according to NIH institutional guidelines under an approved protocol. For statistical analyses, the Mann-Whitney rank sum test was used to calculate p values for highly skewed distributions. For Gaussian-like distributions, two-tailed t-tests were used.


Cell culture

RAW264.7, a murine macrophage/monocyte lineage cell line, and mouse bone marrow-derived M-CSF-dependent monocytes (BM-MDM), containing osteoclast precursor cells, were cultured as previously described28,29. To stimulate osteoclastogenesis, 50 ng/ml RANKL (PeproTech) was added to the medium and the cells were incubated for 3 to 4 days.

Conventional and quantitative (real-time) RT-PCR amplification

Conventional RT-PCR was performed as described previously29. Primers used are listed in Supplementary Table 4. Relative quantification with real-time RT-PCR was performed using an ABI PRISM 7900 (Applied Biosystems Inc.) with an Assay-on Demand TaqMan probe and relevant primers (S1P1, Assay ID #Mm00514644_m1; CD11b/integrin αM, Assay ID #Mm01271259_g1; CD18/integrin β2, Assay ID #Mm00434513_m1; GAPDH, Assay ID #Mm99999915_g1), according to the manufacturer’s instructions.

Determination of Rac activity

Pulldown assay methods to determine the GTP-bound active form of Rac have been described in detail previously30.

In vitro chemotaxis chamber assay

Chemotactic migration of cells was measured in a modified Boyden chamber as described previously27.

EZ-Taxiscan chemotaxis assay

Chemotaxis experiments were also conducted in an EZ-Taxiscan chamber according to the manufacturer’s protocol (Effector Cell Institute). The EZ-Taxiscan is a visually-accessible chemotactic chamber, in which one compartment containing ligand (S1P) and another compartment containing cells are connected by a microchannel. Phase contrast images of migrating cells were acquired at 1 minute interval.


C57BL/6 mice, CX3CR1-EGFP knock-in mice12, CSF1R (M-CSF receptor)-EGFP transgenic mice14, were obtained from The Jackson Laboratory. The generation of the loxP-flanked S1P1 allele (S1P1loxP)18 and osteoclast/monocyte lineage-specific CD11b-Cre transgenic mice19 were described previously. S1P1+/+ x CD11b-Cre and S1P1loxP/+ x CD11b-Cre littermates were born at expected frequencies and were viable and fertile, but live S1P1loxP/loxP x CD11b-Cre littermates were obtained rarely (three viable S1P1loxP/loxP x CD11b-Cre out of 59 total mice), suggesting possible embryonic lethality as seen with global S1P1 deficiency. All mice were bred and maintained under specific pathogen-free conditions at animal facilities of NIH. Mutant mice were genotyped by PCR18,19. All mice were housed and handled according to NIH institutional guidelines under an approved protocol.


Immunohistological analyses were performed as described previously2. Anti-mouse S1P1 rabbit polyclonal antibody was purchased from Affinity Bioreagents. In some experiments, fluorescence-based staining for TRAP20 with ELF 97 substrate (Molecular Probes) was used with some modifications.

Two-photon intravital bone tissue imaging

Intravital microscopy of mouse calvaria bone tissues was performed using a protocol modified from a previous report10,11. Mice were anesthetized with isoflurane (Baxter, 2.5% vaporized in an 80:20 mixture of O2 and air), and the hair in the neck and scalp was removed with hair removal lotion (Nair). The frontoparietal skull was exposed and the mouse head was immobilized in a custom-made stereotactic holder. A catheter was placed into the tail vein with a 30-gauge needle attached to PE-10 tubing (Becton Dickinson). The imaging system was composed of an LSM510 NLO multiphoton microscope (Carl Zeiss) driven by a Chameleon XR Ti:Sapphire laser (Coherent) tuned to 880 nm, and an inverted microscope (Axiovert 200; Carl Zeiss) equipped with a 40X water immersion objective (Achroplan IR, N.A. 0.8; Carl Zeiss). Fluorescent cells were detected through a bandpass emission filter at 525/50 nm (for EGFP). Vessels were visualized by injecting 70 kDa Texas Red conjugated-dextran (detected using a 620/60 nm filter) i.v. immediately prior to imaging. Image stacks were collected at 3 μm vertical step size at a depth of 100-150 μm below the skull bone surface. For 3D videos, 4 sequential image stacks were acquired at 3 μm z spacing to cover a volume of 154 μm x 154 μm x 9.0 μm. The time resolution was 1 minute. Raw imaging data were processed with Imaris (Bitplane) with a Gaussian filter for noise reduction.

Ovariectomy and FTY720 treatment

Twelve 12-week-old female, ovariectomized or sham-operated, C57BL/6J mice were purchased from Charles River Laboratories. Mice were injected i.p. either with FTY720 (3 mg/kg, Cayman Chemical) dissolved in a vehicle (PBS containing 5% acidified DMSO and 30% fatty acid-free BSA) or with vehicle only, daily for four weeks. The mice were then sacrificed and femurs were excised and fixed. Uteri of all the animals were excised and were weighed to evaluate the effect of ovariectomy.

Bone histomorphometry

Trabecular bone morphometry within the metaphyseal region of distal femur was quantified using micro-CT (μCT40, Scanco Medical AG). Volumeric regions for trabecular analysis were selected within the endosteal borders to include the central 80% of vertebral height and secondary spongiosa of femoral metaphyses located ~6% of the total length from the growth plate. Trabecular morphometry was characterized by measuring the bone volume fraction (bone volume / total volume, BV/TV), trabecular thickness (Tb. Th) and trabecular number (Tb. N.) To assess the attachment of osteoclasts to the bone surface, osteoclasts and bone trabeculae were fluorescently visualized in sections by two-photon microscopy. In order to identify osteoclasts, fluorescence based TRAP staining20 was performed. Collagen-enriched bone matrices could be visualized using the 2nd harmonic emission from collagen fibers excited by infrared lasers. Sections were examined using a two-photon laser microscope (laser was tuned to 780 nm). Fluorescence was detected through bandpass emission filters at 370-450 nm (for 2nd harmonic emission from bone matrices) or 525/50 nm (for TRAP staining). Image analysis was performed using a fully automated segmentation approach (no manual tracing of cell/tissue boundaries or other user intervention required) and the “osteoclast attachment ratio” was calculated as the ratio “bone surface attached by osteoclasts / total bone surface” (F.K. submitted).

Flow cytometry

All reagents were purchased from BD PharMingen. To examine the composition of peripheral blood mononuclear cells (PMC), blood was collected from the retro-orbital plexus with a heparinized glass pipette, from mice treated intraperitoneally 4 hours previously with FTY720 (3 mg/kg) or vehicle (Fig. 4), or treated intravenously 1 hour previously with SEW2871 (5 mg/kg) or vehicle (Supplementary Fig. 4). After removing the red blood cells by ACK lysis buffer (Invitrogen), cells were stained with Alexa647-conjugated anti-F4/80 (Fig. 4), or FITC-conjugated anti-CD11b and PE-Cy7-conjugated anti-CD3 (Supplementary Figs. 4 and 9), using conventional methods. Flow cytometric data were collected on a FACSCalibur (Becton Dickinson) and analyzed with FlowJo software (TreeStar).

Supplementary Material

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Supplementary material


We thank Drs. Ulrich H. von Andrian and Irina B. Mazo (Department of Pathology, Harvard Medical School) for their help with the technique of intravital skull bone imaging. We also thank Drs. Yoh Takuwa and Naotoshi Sugimoto (Department of Physiology, Kanazawa University of Medicine, Japan) for helpful discussions, and Drs. Philip M. Murphy and Sundararajan Venkatesan (NIAID, NIH) for their help in imaging in vitro chemotaxis using the EZ-Taxiscan. This work was supported in part by the Intramural Research Program of the NIAID, NIH, U.S. Department of Health and Human Services, and by a fellowship grant to M. I. from the International Human Frontier Science Program.


Author Contributions M.I. performed most of experiments, with the assistance of J.G.E. and Y.S. for two-photon microscopy and for the in vitro osteoclast culture system, respectively. F.K. developed the unsupervised segmentation software and performed the computational analyses used to quantify the osteoclast-bone surface interface, with the assistance of M. M-S. J.V. and R.L.P. generated CD11b-Cre transgenic and S1P1 loxP knock-in mice, respectively. R.N.G. helped M.I. in designing and interpreting experiments, as well as in writing the paper.


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