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Supplemental figures and figure legends (957-INS-RG-RV-) Supplemental Figure. A B.5.5 Interaction p=.89 Model p<. Treatment p=.684 Rip4(Nrip) RIP4 KD.5.5.5 Nfatc 8 6 4 8 8 6 6 4 4 Interaction p=.5 Model p<. Treatment p<. RIP4 KD Ctsk Interaction p<. Model p<. Treatment p<. RIP4 KD Acp5 Interaction p<. Model p<. Treatment p<. RIP4 KD st Cycle Indentation (mm) 8 7 6 5 4 Total Indetnation Distance (mm) 8 7 6 5 4 A. qrt-pcr analyses of osteoclast markers in bone marrow-derived osteoclasts from and mϕrip4kd mice (n= mice/group) with or without treatment (ng/ml). Data are representative of three experimental repeats (mean ± SD), and Student s t-test (n=) was used (*P<.5; **P<.; P<.). Additional statistical significance was determined by -way ANOVA. B. Reference point indentation of the tibia in (n=) and mϕrip4kd (n=9) mice at 9 weeks of age. Data are mean ± SD.

Supplemental Figure. A.5.5.5 AA AA Runx Interaction p<. Model p<. Treatment p<. RIP4 KD.5.5.5 AA AA Sp7 Interaction p<. Model p<. Treatment p<. RIP4 KD 4 AA AA Alpl RIP4 KD Interaction p<. Model p<. Treatment p<. OC conditioned medium à Osteoblasts (MC-T E) B 7 6 5 4 ** * * p=.5 KD KD KD KD KD KD KD KD KD Bmp Bmp6 Wnt Wntb Ctgf Pdgfb Sphk C Cthrc A. qrt-pcr analyses of osteoblast markers in MC-T E cells incubated with conditioned medium of osteoclasts differentiated (5 days) from bone marrow cells of and mϕrip4kd mice (n=4 mice/group). MC-T E cells were incubated with conditioned medium from osteoclast culture, with or without ascorbic acid (AA, 5µg/ml) treatment for days. Additional statistical significance was determined by - way ANOVA. B. qrt-pcr analyses of osteoclast coupling factors in primary osteoclasts differentiated (5 days) from bone marrow cells of and mϕrip4kd mice (n= mice/group). For all graphs, data are representative of three experimental repeats (mean ± s.d), and Student s t-test was used unless otherwise specified (*P<.5; **P<.; P<.).

Supplemental Figure. A Overexpression α-tr4 α-β-actin TR4.6.4..8.6.4. Nfatc Interaction p=.7 Model p<. Treatment p<..5.5.5 Interaction p=.4 Model p=.7 Treatment p<. P=.5 8 6 4 Ctsk Acp5 Interaction p<. Model p<. Treatment p<. TR4 TR4 TR4 A. Western blot analysis of TR4 overexpression in RAW64.7 cells (left). qrt-pcr analysis of osteoclast marker genes in control overexpressing () or TR4 overexpressing (TR4) RAW64.7 cells with or without treatment (5ng/ml) for 4 hrs (right). Data are representative of three experimental repeats (mean ± SD), and Student s t-test (n=) was used (*P<.5; **P<.; P<.). Additional statistical significance was determined by -way ANOVA.

Supplemental Table. Primer information qpcr Primer, 5' - ' Gene Forward Reverse OSTEOBLAST Runx GCCGGGAATGATGAGAACTA GGTGAAACTCTTGCCTCGTC Osterix GGAGGTTTCACTCCATTCCA TAGAAGGAGCAAGGGGACAGA Alk. Phos. TGAGCGACACGGACAAGA GGCCTGGTAGTTGTTGTGAG OSTEOCLAST Nfatc CCCCATCCGCCAGGCTACA GGTTGTCTGCACTGAGCCAACTCC Ctsk AATACGTGCAGCAGAACGGAGGC CTCGTTCCCCACAGGAATCTCTCTGTAC Acp5 CACTCCCACCCTGAGATTTGTG ACGGTTCTGGCGATCTCTTTG Coupling factors Bmp GCTCAGCATGTTTGGCCTGA TCCTCCACGGCTTCTTCGTG Bmp6 CTCGGGATGGACTCCACGTC GTGGACCTCGCTCACCTTGA Wnt CGGGACCTACGCTTCCTCAT CGGACATCCCGTGGCATTTG Wntb ACGCCAGGTGGTAACGGAAA GCTGCCCTCCAACAGGTCTT Pdgfb ATCCGCTCCTTTGATGATCT GAGCTTTCCAACTCGACTCC Ctgf CCTGCCCTAGCTGCCTACC GAACAGGCGCTCCACTCTGT C GCTGGAGAGCGAAGAGACCA TCACTGGTCAGCACTTGCCT Cthrc ATCAGCGCCTCTGAGAACCC CATCACGACCGGGAACTCCT Sphk CCCGTCGACACACACCTTGT CCCATGGGTGCTGCAAACAG 4

Supplemental Materials and Methods Reagents Reagent sources: mouse (Biolegend, #577), mouse M-CSF (Sigma-Aldrich, #M97). Antibody sources: α-ha (F-7, sc-79), α-nfatc (H-, sc-), α-tr4 (M-76, sc-986), α-pmek/ (sc-7995), α-mek/ (-B, sc-46), α-p65 (C-, sc- 7), α-β-actin (C4, sc-47778) from Santa Cruz. α-flag (F65) from Sigma-Aldrich. α-rip4 (ab46) from Abcam. α-perk/ (#9), α-erk/ (#9) and α-pp65 (9H, #) are from Cell signaling. RNA isolation and gene expression analysis Total RNA was isolated using TRIzol (Invitrogen). Reverse transcription (RT) was performed using High-Capacity cdna Reverse Transcription Kit (Applied Biosystems). Quantitative real-time PCR (qpcr) was performed with SYBR enzyme mix (Thermo Scientific, #K5). Each gene expression experiment was performed triplicate. Expression levels were normalized to β-actin mrna level. Western blot analysis RAW64.7 cells were lysed with cell lysis buffer (mm Tris-HCl ph7.5, 5mM NaCl, mm EDTA, mm EGTA,.5mM Sodium Pyrophosphate, mm glycerophosphate, % NP4, % deoxy cholate), and cell lysates were mixed with SDS loading dye and loaded to a SDS-PAGE gel to separate proteins after protein quantification using a Bradford method. Separated proteins in a SDS-PAGE gel are transferred to a western blot membrane and blotted with primary and secondary antibodies. Chromatin-immunoprecipitation (ChIP) assay 5

RAW64.7 cells with control expression or doxycycline-inducible FLAG-HA-RIP4 overexpression were crosslinked with % formaldehyde, lysed, sonicated and immunoprecipitated with antibodies overnight. Magnetic beads (EDM Millipore, #6-66) were added to pull down antibody-protein-dna complex. After 4 hr incubation, beads were washed with low salt, high salt, LiCl buffer and TE buffer according to the instruction from EZ-ChIP (EMD Millipore, #7-7). Following reverse-crosslinking, DNA was isolated and analyzed by qpcr. In vitro TRAP (tartrate-resistant acid phosphatase) assay/alp (alkaline phosphatase) TRACP and ALP assay kit was purchased from Takara (#MK). For TRAP assay, bone marrow-derived primary osteoclasts or RAW64.7 cells were plated in a 96 well plate and lysed with extraction solution. Cells were immediately incubated with pnppcontained substrate solution for 6 min, and then stop solution (.5N NaOH) was added to measure the absorbance at 45nm. For ALP assay, serum was collected from mice blood, and then samples were incubated with substrate, as similar to TRAP assay except for the buffer condition. Microcomputed Tomography Microcomputed tomography (µct) was used for nondestructive -dimensional evaluation of bone volume and architecture. Femora were scanned in 7% ethanol using a Scanco µct4 scanner (Scanco Medical AG, Basserdorf, Switzerland) at a voxel size of x x µm (55 kvp x-ray voltage, 45 µa intensity, and ms integration time). Filtering parameters sigma and support were set to.8 and, respectively. Bone segmentation was conducted at a threshold of 45 (scale, ) determined empirically. Total femora (cancellous + cortical bone) were evaluated followed by 6

evaluation of cortical bone in the mid femur diaphysis and cancellous bone in the distal femur metaphysis. For the femoral diaphysis, consecutive slices (4 µm) of bone were evaluated and cross-sectional volume (cortical and marrow volume, mm ), cortical volume (mm ), marrow volume (mm ), and cortical thickness (µm) measured. Polar moment of inertia (mm 4 ) was determined as a surrogate measure of bone strength in torsion. For the femoral metaphysis, 4 consecutive slices (54 µm) of cancellous bone, 75 slices (,5 µm) proximal to the growth plate, were evaluated. Analysis of the lumbar vertebra included the entire region of cancellous bone between the cranial and caudal growth plates (5 ± slices,,8 ± 4 µm). Direct cancellous bone measurements included cancellous bone volume fraction (bone volume/tissue volume, BV/TV, %), connectivity density (mm - ), trabecular number (mm - ), and trabecular thickness (µm). Histomorphometry Methods used for measuring static and dynamic bone histomorphometry have been described 4. In brief, distal femora were dehydrated in a graded series of ethanol and xylene, and embedded undecalcified in modified methyl methacrylate. Longitudinal sections (4 µm thick) were cut with a vertical bed microtome (Leica 65) and affixed to slides precoated with % gelatin solution. One section/animal was mounted unstained for measurement of fluorochrome labels. One section/animal was stained for tartrate-resistant acid phosphatase and counterstained with toluidine blue (Sigma) and used for cell-based measurements. All data were collected using the OsteoMeasure System (OsteoMetrics, Inc.). The sampling site for the distal femoral metaphysis was located.5-.5 mm proximal to the growth plate. Fluorochrome-based measurements of bone formation 7

included mineralizing perimeter (mineralizing perimeter/bone perimeter: cancellous bone perimeter covered with double plus half single label normalized to bone perimeter, %), ) mineral apposition rate (the distance between two fluorochrome markers that comprise a double label divided by the day interlabel interval, µm/d), and ) bone formation rate (bone formation rate/bone perimeter: calculated by multiplying mineralizing perimeter by mineral apposition rate normalized to bone perimeter, µm/µm/y). Cell-based measurements included osteoblast perimeter (osteoblast perimeter/bone perimeter, %) and osteoclast perimeter (osteoclast perimeter/bone perimeter, %). Osteoblasts were identified morphologically as plump cuboidal cells immediately adjacent to the thin layer of osteoid in direct contact with the bone perimeter. Osteoclasts were identified as multinucleated (two or more nuclei) cells with acid phosphatase-positive (red-stained) cytoplasm in contact with the bone surface. All bone histomorphometric data are reported using standard nomenclature 44. Reference point indentation The material properties of the anterior surface of the tibia mid-diaphysis were assessed using ex vivo reference point indentation (RPI) (BioDent Hfc; Active Life Scientific). Tibias were rehydrated in PBS prior to testing, and all tests were conducted in PBS. A reference force of ~55 N was applied to each femur. Measurements consisted of cycles at 4 N. to 5 measurements were collected per tibia sample, with a distance of at least 5 µm between sampling sites. RPI metrics, including first cycle indentation distance, total indentation distance, first cycle energy dissipated, and first cycle unloading slope, were obtained using the manufacturer s software. 8