Journal of Dental Research http://jdr.sagepub.com/ Emdogain Stimulates Matrix Degradation by Osteoblasts S. Goda, H. Inoue, Y. Kaneshita, Y. Nagano, Y. T. Ikeo, J. Iida and N. Domae J DENT RES 2008 87: 782 DOI: 10.1177/154405910808700805 The online version of this article can be found at: http://jdr.sagepub.com/content/87/8/782 Published by: http://www.sagepublications.com On behalf of: International and American Associations for Dental Research Additional services and information for Journal of Dental Research can be found at: Email Alerts: http://jdr.sagepub.com/cgi/alerts Subscriptions: http://jdr.sagepub.com/subscriptions Reprints: http://www.sagepub.com/journalsReprints.nav Permissions: http://www.sagepub.com/journalsPermissions.nav >> Version of Record - Aug 1, 2008 What is This? Downloaded from jdr.sagepub.com at PENNSYLVANIA STATE UNIV on February 23, 2013 For personal use only. No other uses without permission. International and American Associations for Dental Research RESEARCH REPORTS Biological S. Goda1*,3, H. Inoue2,3, Y. Kaneshita3, Y. Nagano3, Y. T. Ikeo1, J. Iida4, and N. Domae3 Emdogain Stimulates Matrix Degradation by Osteoblasts Departments of 1Biochemistry, Orthodontics, 2Physiology, and 3Internal Medicine, Osaka Dental University, 8-1 Kuzuha Hanazono-cho, Hirakata-shi, Osaka, 573-1121, Japan; and 4Department of Laboratory Medicine and Pathology, Cancer Center, University of Minnesota, Minneapolis, USA; *corresponding author, [email protected] J Dent Res 87(8):782-787, 2008 INTRODUCTION ABSTRACT Emdogain has been used clinically for periodontal regeneration, although the underlying molecular mechanisms are not clear at present. In this study, we hypothesized that Emdogain stimulated degradation of type I collagen via osteoblasts. We showed that Emdogain enhanced cell-mediated degradation of type I collagen in an MMPdependent manner. Although MG-63 cells spontaneously produced a zymogen form of MMP-1, treatment with Emdogain significantly induced the generation of the active form of this enzyme. We demonstrated that MMP-3 was produced from MG63 cells in response to Emdogain in a MEK1/2-dependent manner. Concomitantly, blocking of MEK1/2 activation by U0126 significantly inhibited the generation of the active form of MMP-1 without affecting the total production of this collagenase. These results suggest that Emdogain facilitates tissue regeneration through the activation of the collagenase, MMP-1, that degrades matrix proteins in bone tissue microenvironments. KEY WORDS: Emdogain, matrix metallo proteinases, osteoblasts. major objective of periodontal therapy is to stimulate regeneration of A periodontal ligament (PDL) and alveolar bone. When applied to periodontal defects, Emdogain induces periodontal regeneration and improves therapeutic efficacy in concert with periodontal surgery (Gestrelius et al., 1997; Sculean et al., 2001; Cochran et al., 2003). Although previous studies showed that Emdogain promotes regeneration of PDL, root cementum, and alveolar bone in vivo (Hammarström et al., 1997; Heijl et al., 1997; Boyan et al., 2000), the mechanisms of its action still remain unclear. Osteoblasts play a key role in remodeling bone by regulating matrix turnover, such as type I collagen. Matrix metalloproteinases (MMPs) are secreted by mesenchymal stromal lining cells and osteoblasts to generate the initiation sites for osteoclastic bone resorption at the beginning of the remodeling cycle (Sasaki et al., 2007). MMPs are endopeptidases that play a primary role in the degradation of extracellular matrix (ECM) proteins (Vu and Werb, 2000). Collagenases, including MMP-1, -8, -13, and -14, hydrolyze native collagens to generate ¼ and ¾ fragments, which are substrates for gelatinases and stromelysins (Visse and Nagase, 2003). Thus, it is hypothesized that the catalytic activity of collagenases initiates matrix turnovers in remodeling bone. Because Emdogain activated osteoblast cells to enhance mRNA expression of type I collagen, osteopontin, bone sialoprotein, and osteocalcin, it has potential therapeutic value as a material for the enhancement of bone remodeling (Yoneda et al., 2003). Previous studies have shown that Emdogain regulates the production of MMP-1 and MMP-8 in gingival crevicular fluid (Okuda et al., 2001), although the functions of these collagenases are not clear. The purpose of this study was to characterize Emdogain for its ability to enhance matrix turnover and the production of MMPs, with the osteoblast cell line, MG-63. MATERIALS & METHODS Cell Culture MG-63 cells were purchased from the American Type Culture Collection (Manassas, VA, USA) and maintained in DMEM supplemented with 10% heartinactivated FBS, 2 mM glutamine, and 100 units/mL of penicillin/streptomycin. Cells were cultured at 37°C in a humidified atmosphere of 5% CO2 in air. Reagents and Antibodies Received July 10, 2007; Last revision March 23, 2008; Accepted May 19, 2008 782 Anti-phospho-p44/42 (Thr202/Tyr204) and anti-p44/42 antibodies were purchased from Cell Signaling Technology (Danvers, MA, USA). Emdogain was obtained from Seikagaku-kogyo Corporation (Tokyo, Japan). U0126, MMP-1, and MMP-3 antibodies were purchased from Calbiochem (Darmstadt, Germany). DQ-collagen I was purchased from Molecular Probes (Eugene, OR, USA). Downloaded from jdr.sagepub.com at PENNSYLVANIA STATE UNIV on February 23, 2013 For personal use only. No other uses without permission. International and American Associations for Dental Research J Dent Res 87(8) 2008 MMPs Produced by Emdogain in Osteoblasts 783 DQ-Collagen I Degradation Assay Coverslips were coated with 25 g/mL of quenched fluorescence substrate DQ-collagen I. MG-63 cells (5 x 10 4) were incubated with 100 g/mL Emdogain for 20 hrs, followed by incubation on DQcollagen I-coated plates for an additional 4 hrs. Cells were fixed with 2% paraformaldehyde and examined with 488-nm (excitation) and 533-nm (emission) fluorescence by confocal microscopy (Olympus LSM-GB200 confocal microscope, Olympus, Tokyo, Japan) with an oil immersion lens. Degradation of DQcollagen I was visualized in an optical section as a green fluorescent signal. Differential interference contrast (DIC) was shown to visualize cells cultured on the matrix. Western Blot Analysis MG-63 (1 x 106) cells were incubated in serum-free medium with 50, 100, and 200 g/mL of Emdogain for 24 hrs. The conditioned media were Figure 1. Emdogain enhanced MG-63 cells’ degradation of type I collagen. MG-63 cells were incubated in the presence (d, e, f) or absence (a, b, c) of 100 g/mL Emdogain for 20 hrs and then incubated on glass concentrated in Amicon Centriprep coated with 25 g/mL of quenched fluorescence substrate DQ-collagen I for an additional 4 hrs. TIMP-2 concentrators (MW cut-off, 10 kDa) (20 M) was incubated with Emdogain and MG-63 cells as described above (g, h, i). Degradation of type (Millipore Corporation, Bedford, MA, I collagen (green fluorescence) was detected by confocal microscopy (samples: excitation, 488 nm; USA) up to 10-fold to visualize emission, 530 nm). Pictures were taken at 40x magnification (a-i). Differential interference contrast (DIC) images are shown. These data are representative of more than 3 independent experiments. proteins in Western blotting analysis. For studying phosphorylation of p44/42, we incubated MG-63 (1 x 106) medium prepared from HT1080 cells stimulated with ConA was cells in serum-free medium with 50, 100, or 200 g/mL of used to localize the pro-, intermediate, and active forms of MMP-2. Emdogain for the indicated periods described in the text. Samples were separated on 8% or 10% SDS polyacrylamide gels (SDSPAGE) under reducing conditions. Proteins were electrophoretically RESULTS transferred to Immobilon-P membranes and were incubated for 1 hr Emdogain Stimulated the Degradation with primary antibodies in PBS containing 0.05% Tween-20 and 10% Blockace (Dainippon Pharm. Co., Tokyo, Japan). Peroxidaseof Type I Collagen by MG-63 conjugated secondary antibody (Amersham Biosciences, Matrix metalloproteinases (MMPs) and tissue inhibitors of Piscataway, NJ, USA) was used at a 1:1000 dilution, and metalloproteinases (TIMPs) produced by osteoblasts play an immunoreactive bands were visualized by means of Super Signal essential role in bone remodeling and regeneration (Krane, west pico chemiluminescent substrate (PIERCE Biotechnology Inc., 1995; Opdenakker et al., 2001). Previous clinical applications of Rockford, IL, USA). Signals on each membrane were analyzed with Emdogain showed enhanced tissue regeneration, including bone VersaDoc 5000 (BIO-RAD, Hercules, CA, USA). formation (Heijl, 1997), suggesting that osteoblasts function to Gelatin Zymography The conditioning medium prepared as described above was subjected to gelatin zymography to visualize MMP-2 and MMP-9 as described previously (Goda et al., 2006). MG-63 (1 x 106) cells were incubated in serum-free DMEM with 50, 100, or 200 g/mL of Emdogain for 24 hrs. The conditioning medium was resolved under non-reducing conditions on 10% SDS-PAGE impregnated with 1 mg/mL gelatin. Gels were rinsed once in 2.5% Triton X-100 for 30 min at room temperature and then incubated in a developing solution [50 mM Tris-HCl (pH 7.6), 5 mM CaCl2, 1 M ZnCl2] for 8-16 hrs. Gels were stained with Coomassie blue and de-stained according to a standard protocol. Areas of gelatinolytic activity were detected as transparent bands. As a standard, a conditioning facilitate the process. We therefore utilized human osteoblasts, such as the MG-63 cell line, as a model system to evaluate Emdogain in the process of matrix turnover. We previously demonstrated that a quenched fluorescent derivative of type I collagen (DQ-collagen I) served as a substrate for MMPs for studying proteolysis by living cells (Goda et al., 2006). In this study, we used this assay system to examine the ability of MG63 cells to degrade type I collagen. Degradation of DQ-collagen I was visualized in an optical section as green fluorescent signals. Although unstimulated MG-63 cells resulted in minimal signals of the degradation of type I collagen (Fig.1a, 1c), Emdogain (100 g/mL) enhanced the degradation of type I collagen visualized by the green fluorescence signals (Fig. 1d, Downloaded from jdr.sagepub.com at PENNSYLVANIA STATE UNIV on February 23, 2013 For personal use only. No other uses without permission. International and American Associations for Dental Research 784 Goda et al. J Dent Res 87(8) 2008 Figure 2. Expression of MMPs from Emdogain-stimulated MG-63 cells. MG-63 cells (1 x 10 6 cells) were incubated in serum-free media containing 50, 100, and 200 g/mL of Emdogain for 24 hrs and in the conditioned media as described in MATERIALS & METHODS. (A) The concentrated media were separated on 8% SDS-PAGE, blotted with anti-MMP-1 antibody, and visualized with a Super Signal west pico chemiluminescent substrate. Molecular markers (kDa) are shown in the left column. Quantification of MMP-1 (upper panel) was performed densitometrically with NIH image software. The intensities of each band are depicted as percent of maximum value (lower panel). (B) The same conditioned media were subjected to gelatin-zymography as described in MATERIALS & METHODS. As a standard, conditioned medium prepared from HT1080 cells stimulated with ConA was used to localize inactive (upper) and active (lower) forms of MMP-2 and are shown as lines. These data are representative of more than 3 independent experiments. MMP-8, MMP-13, and MMP-14) from MG-63 cells stimulated by Emdogain. MG-63 cells spontaneously produced MMP-1 in 1f). Given the fact that type I collagen is a substrate for MMPs, the serum-free conditioned medium with 57 kDa (major) and we tested whether the tissue inhibitor of metalloproteinases 47 kDa (minor) molecular masses, which correspond to latent (TIMP-2) would inhibit the proteolysis of type I collagen. and active forms of this enzyme, respectively. Quantification of TIMP-2 almost completely abrogated the proteolysis by the MMP-1 was performed densitometrically with NIH image cells (Fig. 1g, 1i), indicating that MMPs plays a key role in the software (Fig. 2A, upper). The intensities of each band are proteolysis of type I collagen. depicted as percent of maximum value. Importantly, when cells Emdogain Enhanced the Generation were cultured in the presence of Emdogain, the generation of of an Active Form of MMP-1 in MG-63 Cells the active form of MMP-1 was observed to occur in a dosedependent manner (Fig. 2A). We separated the same samples We then evaluated the production of collagenases (MMP-1, (as in Fig. 2A) via gelatin zymography to test whether this enzyme was activated, since previous studies have shown that MMP-2 could act as a collagenase to some extent (Nagase and Woessner, 1999). While un stimulated MG-63 cells spon taneously produced a latent form of MMP-2, neither the total amount of production nor the activation status of this enzyme was altered by stimulation with Emdogain (Fig. 2B), suggesting that the catalytic activity of MMP-2 is not involved in Emdogain-stimulated type I collagen degradation. Thus, the zymography shown in Fig. 2B served as a loading control for the Western blot illustrated in Fig. 2A. MMP-14 is a membrane-associated collagen ase that promotes degradation of type I collagen and activates pro-MMP-2 (Seiki, Figure 3. Emdogain induced activation of ERK in MG-63 cells. (A) MG-63 cells were stimulated with 100 2003). However, MMP-14 was not g/mL EMD for the indicated times at 37°C. Cells were harvested, and lysates were resolved in 10% SDSactivated in cell lysates in MG63 PAGE and then transferred to a PVDF membrane. The membrane was immunoblotted with anti-phosphocells cultured in the presence of p44/42 antibody (upper panel) and then stripped and immunoblotted with anti-p44/42 antibody (middle Emdogain at any concentration panel). Molecular markers (kDa) are shown in the left column. (B) MG-63 cells were treated for 30 min with (not shown), consistent with the U0126 (5 and 10 M) before stimulation with 100 g/mL Emdogain for 5 min. Cells were harvested, and lysates were resolved in 10% SDS-PAGE and then transferred to a PVDF membrane. The membrane was lack of activation of pro-MMP-2 immunoblotted with anti-phospho-p44/42 antibody (upper panel), and then stripped and immunoblotted (Fig. 2B). Emdogain did not affect with anti-p44/42 antibody (middle panel). Molecular markers (kDa) are shown in the left column. the production of MMP-8 or Quantification of phosphorylation of p44/42 was performed densitometrically and corrected to the amount MMP-13 (not shown). Given the of total p44/42 protein. The intensities of each band are depicted as percent of maximum value (lower panel). These data are representative of more than 3 independent experiments. fact that MMP-1 is a potent Downloaded from jdr.sagepub.com at PENNSYLVANIA STATE UNIV on February 23, 2013 For personal use only. No other uses without permission. International and American Associations for Dental Research J Dent Res 87(8) 2008 MMPs Produced by Emdogain in Osteoblasts 785 collagenase (Ohuchi et al., 1997), analysis of these data suggests that the active MMP-1 plays a key role in the proteolysis of type I collagen by Emdogain-stimulated MG-63 cells. Activation of MEK-ERK was Involved in the Degradation of Type I Collagen by Emdogainstimulated MG-63 Cells Previous studies showed that Emdogain stimulates MAP kinases in monocytic and periodontal ligament cells, inducing the formation of osteoclasts and a mitogenic response, respectively (Matsuda et al., 2002; Itoh et al., 2006). When MG-63 cells were cultured in the presence of 100 g/mL Emdogain, ERK1/2 was phosphorylated in a time-dependent manner, with the maximum phosphorylation at 5 min (Fig. 3A, upper and lower panels). The total amount of ERK protein was not affected under the experimental conditions (Fig. 3A, middle panel). A synthetic specific inhibitor for ERK1/2, U0126, abolished the activation of this kinase in both unstimulated and Emdogainstimulated MG-63 cells (Fig. 3B). Previous studies have shown that the activation of ERK1/2 plays a key role in the induction of MMPs, including MMP-1 (Goda et al., 2006). We therefore tested whether this signaling pathway was involved in the proteolysis of type I collagen by Emdogain-stimulated MG-63 cells. Consistent with our results (Fig. 1), Emdogain enhanced proteolysis of type I collagen by Figure 4. MEK-ERK pathways are important for Emdogain-stimulated MG-63 cell-mediated degradation MG-63 cells compared with of type I collagen. (A) MG-63 cells were pre-treated for 30 min with U0126 (10 M) and then incubated unstimulated cells (Fig. 4A, d and f in the presence or absence of 100 g/mL Emdogain for 20 hrs. Cells were cultured on glass coated with vs. a and c). Importantly, U0126 25 g/mL of the quenched fluorescence substrate, DQ-collagen I. Degradation of type I collagen (green completely inhibited the proteolysis fluorescence) was detected by confocal microscopy (fluorescence: excitation, 488 nm; emission, 530 nm). mediated by Emdogain-stimulated Pictures were taken at 40x magnification (a-f). (B) The concentrated conditioned media prepared from unstimulated MG-63 cells (lane 1), U0126 (10 M) (lane 2), Emdogain-stimulated MG-63 cells (lane 3), MG-63 cells (Fig. 4A, g and i). and Emdogain-stimulated MG-63 cells cultured in the presence of U0126 (10 M) (lane 4) were These results suggest that the separated on 8% SDS-PAGE. The membranes were blotted with anti-MMP-1 antibody and visualized with activation of the ERK1/2 pathway as a Super Signal west pico chemiluminescent substrate. Molecular-weight markers (kDa) are shown in the stimulated by Emdogain is involved left column. The same concentrated conditioned media were separated and transferred onto a membrane. (C) The membranes were blotted with anti-MMP-3 antibody and visualized with a Super Signal west pico in the production and/or activation chemiluminescent substrate. Molecular-weight markers (kDa) are shown in the left column. Quantification of MMP-1. of MMP-1 (B) or MMP-3 (C) (upper panel) was performed densitometrically with NIH image software. The U0126 significantly inhibited peak heights of each density are depicted as percent of maximum value (lower panel). These data are the activation of pro-MMP-1 in representative of more than 3 independent experiments. Emdogain-stimulated MG-63 cells, although the total amount of the collagenases was not altered (Fig. 4B). As a part of the study of the activation of pro-MMP-1, through cleaving the prodomain of pro-MMP-1 between Gln80 stromelysin-1 (MMP-3) has been reported as a direct activator and Phe 81 (Nagase et al., 1992). Although MG-63 cells Downloaded from jdr.sagepub.com at PENNSYLVANIA STATE UNIV on February 23, 2013 For personal use only. No other uses without permission. International and American Associations for Dental Research 786 Goda et al. spontaneously produced MMP-3, Emdogain significantly enhanced MMP-3 production (Fig. 4C). Importantly, the enhanced production of MMP-3 reverted to the basal level in the presence of U0126 (Fig. 4C), suggesting that the activation of ERK1/2 is involved in the production of MMP-3 from Emdogain-stimulated MG-63 cells. Taken together, these results suggest that Emdogain facilitates the proteolysis of type I collagen by MG-63 cells through the induction of MMP-3, which acts as an activator for pro-MMP-1. DISCUSSION Previous studies demonstrated the indispensable role of cellmediated “collagenolysis” in bone formation and growth of the skeleton (Holmbeck et al., 1999; Zhou et al., 2000). The involvement of matrix remodeling in bone has been studied by the elucidation of specific functional roles of MMPs, such as MMP-9 and MMP-14 (Vu et al., 1998; Holmbeck et al., 1999; Zhou et al., 2000). In this study, we demonstrated that Emdogain stimulated osteoblasts to degrade type I collagen in vitro through the catalytic activity of MMPs. Our results suggest that the activation of MMP-1 is one of the mechanisms for facilitating the degradation of type I collagen by Emdogainstimulated MG-63 cells, which plays a key role in the processes of bone regeneration. We demonstrated that MMP-1 was spontaneously produced from unstimulated MG-63 and was activated in the presence of Emdogain. Both degradation of type I collagen and the activation of pro-MMP-1 were positively correlated with the production of MMP-3 from Emdogain-stimulated MG-63 cells. Previous studies demonstrated that MMP-3 results in direct proteolysis of the Glu80-Phe81 bond in the prodomain of MMP-1, thus activating it (Nagase et al., 1992). Furthermore, MMP-1-mediated tumor invasion and matrix degradation required MMP-3 as an activator (Benbow et al., 1996). Thus, these results suggest that MMP-3 produced from Emdogainstimulated MG-63 cells would act as an activator for proMMP-1. Previous studies showed that Emdogain decreased the production of MMP-1 in gingival crevicular fluid (Okuda et al., 2001). Although the in vivo function of Emdogain needs to be evaluated, it is possible that Emdogain may facilitate tissue and bone regeneration by regulating MMP-1 expression from distinct cell populations (i.e., neutrophils for tissue regeneration and osteoblasts for bone remodeling). Previous studies showed that Emdogain contains TGF- and BMP-like activity (Suzuki et al., 2005). Furthermore, BMP-2 enhanced regeneration of bone and the production of MMPs (Wang et al., 1990; Takiguchi et al., 1998; Fujisaki et al., 2006). Although the details of the mechanisms of Emdogain for stimulating MMP-3 production from osteoblasts require further study, these results implicate soluble factors such as BMP-2 and TGF- in Emdogain as potential activators for osteoblasts. We have shown that the activation of ERK1/2 plays a key role in the induction of MMP-3 from Emdogain-stimulated MG63 cells. Previous studies showed that activation of ERK1/2 plays a key role in the production of MMP-3 with various cell types and extracellular stimuli (Tanimura et al., 2003; Hoberg et al., 2007; Kajanne et al., 2007). Despite the fact that U0126 completely inhibited basal activation of ERK1/2 in MG-63 cells, the production of MMP-3 was approximately comparable with that in the non-treated control cells. These results suggest J Dent Res 87(8) 2008 that spontaneous production of MMP-3 from MG-63 cells was independent of the activation of ERK1/2. Similarly, the production of MMP-1 from Emdogain-stimulated MG-63 cells was independent of the activation of ERK1/2. Furthermore, these results suggest that the production of MMPs is regulated via multiple signaling pathways stimulated by Emdogain in MG-63 cells. Although the characterization of the mechanisms of the production of MMP-3 from Emdogain-stimulated MG-63 cells is not clear at present, our results suggest that the induction of MMP-3 is one of the key steps for facilitating matrix turnover in bone environments. In summary, our results suggest a model in which MMP-3 plays a role in bone regeneration by degrading matrix proteins and/or by activating a potent collagenase, MMP-1 in osteoblasts. In addition to ECM proteins, recent studies suggest that MMPs degrade various “non-classic” substrates in vivo (McCawley and Matrisian, 2001). For example, inflammatory chemokines such as monocyte chemoattractant proteins (MCPs) are a substrate for MMP-1 and MMP-3 and are inactivated by the cleavage at specific sites within the molecules (McQuibban et al., 2002). Thus, further studies will be needed to elucidate fully the mechanisms of Emdogain-stimulated tissue and bone formation by determining the substrates for MMPs, including MMP-1 and MMP-3, in tissues. ACKNOWLEDGMENTS This work was supported by the High-Tech Research Center Project for Private University, a matching fund subsidy from MEXT, 2002-2006, and an Oral Implant Research Grant, Osaka Dental University (07-02). REFERENCES Benbow U, Buttice G, Nagase H, Kurkinen M (1996). Characterization of the 46-kDa intermediates of matrix metalloproteinase 3 (stromelysin 1) obtained by site-directed mutation of phenylalanine 83. J Biol Chem 271:10715-10722. Boyan BD, Weesner TC, Lohmann CH, Andreacchio D, Carnes DL, Dean DD, et al. (2000). Porcine fetal enamel matrix derivative enhances bone formation induced by demineralized freeze dried bone allograft in vivo. J Periodontol 71:1278-1286. Cochran DL, Jones A, Heijl L, Mellonig JT, Schoolfield J, King GN (2003). 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International and American Associations for Dental Research ERRATA The name of one of the authors of the article entitled “Emdogain Stimulates Matrix Degradation by Osteoblasts”, published in J Dent Res 87:782-787, 2008, was accidentally misspelled. Y.T. Ikeo should be T. Ikeo. The authors regret this error. In the article by P. Radhakrishnan and J.J. Mao (“Nanomechanical Properties of Facial Sutures and Sutural Mineralization Front”, J Dent Res 83:470-475, 2004), the average elastic modulus of each sample was calculated from individual force volume images according to the Hertz model as shown in the following equation: 3F (1 - n 2) E = __________ 4 = Rd3/2 Due to an error by a vendor managed by HighWire Press, the JDR’s online hosting service, Dr. Sessle’s name was misspelled in the online publication, J Dent Res 87:797, 2008. The error was corrected online on September 2, 2008. HighWire Press regrets the error. where E is the Young’s modulus, F is the applied nanomechanical load, n is the Poisson’s ratio, R is the radius of curvature of the AFM tip , and d is the amount of nano-indentation. There was a typographical error in this equation, which should read: 3F (1 - n ) E = __________ 4 = Rd3/2 The authors regret this error. 984 Downloaded from jdr.sagepub.com at PENNSYLVANIA STATE UNIV on February 23, 2013 For personal use only. No other uses without permission. International and American Associations for Dental Research
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