Specimen. Humeral Head. Femoral Head. Objective. Femoral Condyle (medial) Supplementary Figure 1

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A B Specimen Humeral Head 2 1 µm 76 µm Femoral Head Objective Femoral Condyle (medial) Supplementary Figure 1

A Femoral Head Global Cell Density Superficial Cell Density Cell Number at 1 µm Nuclei /.1 mm3 5 4 3 2 1 Nuclei /.1 mm 3 8 6 4 2 1 #1 left 1 #2 right 2 #3 left 1 #1 left 1 #2 right 2 #3 left Number of Nuclei 8 6 4 2 #1 #2 #3 B Humeral Head Global Cell Density Superficial Cell Density Cell Number at 1 µm Nuclei /.1 mm 3 6 5 4 3 2 1 2 #1 left 3 right #2 4 #3 left 5 #4 left Nuclei/.1mm^3 6 5 4 3 2 1 2 #1 left 3 right #2 4 #3 left 5 #4 left Number of Nuclei 8 6 4 2 #1 #2 #3 #4 Supplementary Figure 2

A Humeral Head Global Cell Density Superficial Cell Density Cell Number at 1 µm Cell Number at 2 µm Difference in Nuclei /.1 mm 3 (Left - Right) 6 4 2-2 -4-6 -8-1 34 36 38 4 42 44 46 48 5 Average Number /.1 mm 3 (Left and Right) Difference in Nuclei /.1 mm 3 (Left - Right) 15 1 5-5 -1-15 -2 9 12 15 18 21 24 Average Number /.1 mm 3 (Left and Right) Difference in Number of Nuclei (Left - Right) 2 1-1 -2-3 4 45 5 55 6 65 7 75 8 Average Number of Nuclei (Left and Right) Difference in Number of Nuclei (Left - Right) 3 2 1-1 -2-3 4 45 5 55 6 65 7 75 8 Average Number of Nuclei (Left and Right) B Lateral Femoral Condyle Global Cell Density Superficial Cell Density Cell Number at 1 µm Cell Number at 2 µm Difference in Nuclei /.1 mm 3 (Left - Right) 6 4 2-2 -4-6 42 44 46 48 5 52 54 Average Number /.1 mm 3 (Left and Right) Difference in Nuclei /.1 mm 3 (Left - Right) 12 1 8 6 4 2-2 -4-6 -8 52 56 6 64 68 Average Number /.1 mm 3 (Left and Right) Difference in Number of Nuclei (Left - Right) 6 4 2-2 -4 5 55 6 65 7 75 8 Average Number of Nuclei (Left and Right) Difference in Number of Nuclei (Left - Right) 3 2 1-1 -2-3 5 55 6 65 7 75 8 Average Number of Nuclei (Left and Right) C Medial Femoral Condyle Global Cell Density Superficial Cell Density Cell Number at 1 µm Cell Number at 2 µm Difference in Nuclei /.1 mm 3 (Left - Right) 1 8 6 4 2-2 -4-6 4 42 44 46 48 5 52 Average Number /.1 mm 3 (Left and Right) Difference in Nuclei /.1 mm 3 (Left - Right) 3 2 1-1 -2 35 4 45 5 55 6 65 7 Average Number /.1 mm 3 (Left and Right) Difference in Number of Nuclei (Left - Right) 4 2-2 -4-6 4 45 5 55 6 65 7 75 8 Average Number of Nuclei (Left and Right) Difference in Number of Nuclei (Left - Right) 3 2 1-1 -2 55 6 65 7 75 8 Average Number of Nuclei (Left and Right) Supplementary Figure 3

Nuclei /.1 mm 3 A 6 5 4 3 2 1 Humeral Head Global Cell Density Superficial Cell Density Cell Number at 1 µm Cell Number at 2 µm 8 p =.15 p =.99 1 Days 6 4 2 Nuclei /.1 mm 3 1 Days Number of Nuclei 1 8 6 4 2 p =.83 1 Days 8 p <.1* Number of Nuclei 1 6 4 2 1 Days Nuclei /.1 mm 3 B Lateral Femoral Condyle Global Cell Density Superficial Cell Density Cell Number at 1 µm Cell Number at 2 µm 6 p =.11 5 4 3 2 1 1 Days Nuclei /.1 mm 3 8 p =.37* 6 4 2 1 Days Number of Nuclei 1 p =.79 8 6 4 2 1 Days Number of Nuclei 1 8 p =.91 6 4 2 1 Days C Medial Femoral Condyle Global Cell Density Superficial Cell Density Cell Number at 1 µm Cell Number at 2 µm Nuclei /.1 mm 3 6 5 4 3 2 1 8 p =.32 p =.65 1 Days 6 4 2 Nuclei /.1 mm 3 1 Days Number of Nuclei 1 8 6 4 2 p =.17 1 Days 8 p =.52 Number of Nuclei 1 6 4 2 1 Days Supplementary Figure 4

A D 4-Day-Old 4-Day-Old B E F Global Cell Density Superficial Cell Density 1 Nuclei /.1 mm3 Nuclei /.1 mm3 6 5 4 3 9-Month-Old 9-Month-Old G 3-Month-Old 3-Month-Old C * * 2 1 8 6 4 * * * p <.5 2 4DO 3MO Supplementary Figure 5 9MO 4DO 3MO 9MO

A C 9-Month-Old 4-Day-Old B 3-Month-Old Supplementary Figure 6 D 6-Month-Old

A Tamoxifen 3 6 Months X B : Prg4 CreERt2/+ ;R26 mtmg/+ : Prg4 CreERt2/+ ;R26 mtmg/lsl- C Global Density Femoral Condyle Superficial Density Femoral Condyle D GFP+ Cell Global Density Femoral Condyle GFP+ Cell Superficial Density Femoral Condyle Nuclei /.1 mm 3 5 4 3 2 1 Nuclei /.1 mm 3 5 4 3 2 1 Nuclei /.1 mm 3 1 8 6 4 2 * Nuclei /.1 mm 3 2 15 1 5 * * p <.5 Supplementary Figure 7

A D B 4-Day-Old EdU DAPI E 4-Day-Old EdU DAPI 3-Month-Old C EdU DAPI 3-Month-Old F EdU DAPI 9-Month-Old DAPI 9-Month-Old DAPI Supplementary Figure 8

Supplementary Table 1

(.1 mm 3 ) (.1 mm 3 ) (.1 mm 3 ) (.1 mm 3 ) (.1 mm 3 ) (.1 mm 3 ) (.1 mm 3 ) (.1 mm 3 ) Supplementary Table 2

Supplementary Table 3

Supplementary Figure 1. (A) Photographs depicting the orientations of samples when collecting confocal images. Arrows indicate the region of articular cartilage in contact with the glass surface; medial and lateral femoral condyles are imaged separately. (B) Diagram illustrating the relative sizes of the microscope aperture and articular cartilage. A histologic section through the humeral head is used to indicate the width and depth of the specimen and the organization of chondrocytes within the specimen. The black bar indicates an imaging plane that is 3 µm below the surface where the cartilage and glass meet. Due to the curvature of the cartilage surface, chondrocytes at the periphery in this plane are nearer to the surface than chondrocytes at the center. Supplementary Figure 2. Bar graphs depicting the mean (± SD) values for global cell density, superficial cell density, and cell number in the center 1 µm x 1 µm area at 1 µm below the surfaces of the femoral (A) and humeral heads (B) from individual 1-month-old C57/Bl6J mice (numbered from 1 to 4). Each specimen was oriented and imaged 1 times. Supplementary Figure 3. Bland-Altman plots comparing measures of cell density (number of chondrocytes/.1 mm 3 cartilage) across the entire cartilage volume (Global cell density), the superficial volume extending to a depth of 1 µm (Superficial cell density), and cell numbers in the center 1 µm x 1 µm areas at 1 µm and 2 µm depths for the humeral head (A), lateral femoral condyle (B), and medial femoral condyle (C). Each circle represents a comparison between contralateral joint surfaces (n = 1 mice and 3 technical replicates/cartilage). Blue lines indicate the mean ± 1.96 SD, analogous to a 95% confidence interval. Supplementary Figure 4. Bar graphs depicting mean (± SD) values that were calculated using ANOVA with a generalized estimating equations (GEE) approach for each of the 4 primary measures for the humeral head (A), lateral femoral condyle (B), and medial femoral condyle (C) specimens that had been in fixative for 3 days, 1 days, and 14 days (n = 1). When evaluated for directionality of differences between the 3 days, 1 days, and 17 days measurements using a 1-sided t-test, time in fixative was not found to be a significant factor for the superficial femoral density for most measurements. For the few instances when a significant difference was detected between the 3 days and later measurements, (e.g., global cell density of the femoral head), there also was a difference in the coefficient of variance between the measurements performed on different days, indicative of the measurements being influenced by outlying or dissimilar variables. Thus, it was concluded that length of fixation time does not have a significant impact on any of these measurements. Supplementary Figure 5. (A, B, C) H & E stained sagittal sections (scale bar = 5 µm) through the humeral heads and glenoid fossae of 4-day-old (A), 3- month-old (B) and 9-month-old (C) control mice (left) and -ablated mice (right). (D, E, F) H & E stained sagittal sections (scale bar = 5 µm) through the

femoral heads and acetabuli of 4-day-old (D), 3-month-old (E) and 9-month-old (F) control mice (left) and -ablated mice (right). (G) Bar graphs depicting the mean (± SD) global cell densities and superficial cell densities in the humeral heads of 4-day-old, 3-month-old, and 9-month-old control and -ablated mice (n = 5). Note chondrocyte density measured globally and at the superficial zone decreased significantly (*p <.5) in 4-day-old -ablated mice compared to controls Supplementary Figure 6. (A, B, C) H & E stained knee joint synovium of 4- day-old (A), 3-month-old (B) and 9-month-old (C) control mice (left) and ablated mice (right). (D) H & E stained tail tendon of 6-month-old control mice (left) and -ablated mice (right). Supplementary Figure 7. (A) Schematic depicting the experimental timeline for inducing -mediated cell death by administering Tamoxifen for 1 consecutive days at 3 months of age. Animals were analyzed at 6 months of age. (B) H & E stained sagittal sections (scale bar = 5 µm) through the tibial-femoral joint of control mice (left) and -ablated mice (right). (C, D) Bar graphs depicting the mean (± SD) DAPI stained (C) and GFP+ (D) global cell densities and superficial cell densities in the lateral femoral condyle of control and -ablated mice (n = 3). Although there were significant decreases in the chondrocyte densities of Prg4 expressing (i.e., GFP+) cells in the femoral condyles of -ablated mice compared to controls, nuclear cell density did not differ. Supplementary Figure 8. (A, B, C) Confocal images showing DAPI stained chondrocytes at a depth of 2 µm in the lateral femoral condyles from 4-day-old (A), 3-month-old (B), and 9-month-old (C) control mice (left) and -ablated mice (right). (D, E, F) Confocal images showing DAPI stained chondrocytes at a depth of 2 µm in humeral heads from 4-day-old (D), 3-month-old (E), and 9- month-old (F) control mice (left) and -ablated mice (right). Nuclei of cells that had divided, as indicated by EdU incorporation, are pink in panels A, B, D, and E. Supplementary Table 1. Results of the 1-sided t-tests used to supplement the Bland-Altman analyses on agreement. Supplementary Table 2. Coefficient of variance values for each measurement obtained after 3 days (Scan 1), 1 days (Scan 2), and 17 days (Scan 3) in fixative for the femoral head, humeral head, lateral femoral condyle, and medial femoral condyle. (n = 1 cartilages and 3 technical replicates per cartilage.) Supplementary Table 3. Estimations of sample sizes that will be required to detect significant differences between experimental animals and their controls, with respect to cell numbers in the center 1 µm x 1 µm areas at 1 µm and 2 µm depths, global cell density (.1 mm 3 ), and superficial cell density (.1 mm 3 ) for the femoral head, humeral head, lateral femoral condyle, and medial

femoral condyle. Note that for most measurements, < 1 mice/group are needed to detect a 2% change and < 5 animals/group are needed to detect a 3% change.

Supplemental Methods 3-D Reconstruction of the Articular Cartilage and Quantitative Analysis 1. Load image file into Imaris and calibrate the image pixel size, if necessary. 2. Start a new Measurement Points object in Surpass view. In Select mode, use Shift+Left-click to select excessive soft tissues and Set Intensity to to delete selected objects, if necessary. 3. Surface creation. (i) Click on Add new surfaces button in the Object toolbar. (ii) In the wizard opened in the Object Properties Area, select the channel that is used to determine the volume. Set Smooth at 2 µm. Select Background Subtraction and set it for 7 µm, which is approximately the diameter of nuclei of the largest object. Click the blue arrow Next button to go to next step. (iii) Use Auto Threshold, deselect Filters and finish surface rendering by clicking the green arrow Finish button. In the View Area, a surface will be overlaid on the 3D image. (iv) Click on Color and change the color of the new surface to white, in order to better visualize. (v) Click on Edit (pencil). In the Select mode, delete all the out-of-plane objects. 4. Create a channel based on the surface (i) In Edit panel, select mask all. A window will popup. (ii) In this window, select the channel that is used to determine the volume, and set Voxels Outside Surface to and Voxels Inside Surface to 1. Click OK and a new channel is created and shown in Display Adjustment. 5. Image processing (i) Click on Image Processing" In the main toolbar and select Channel Arithmetics. (ii) In the popup window, type in bwconvhull(chx>). Note, X is the number of the channel created in step 4. (iii) A new channel is created and can be seen in Display Adjustment. 6. Distance transformation (i) Create new surface and select the channel created in step 5 as source channel. (ii) Uncheck Smooth and Background Subtraction, and click Next. (iii) Use Auto Threshold, deselect Filters and finish creating surface. (iv) Use Clipping Plane in the Object toolbar to visualize the new surface in 3D. (v) Click on Edit in the main toolbar and select Change Data Type. Then select 32 Bit Float in the popup window. (vi) In the wizard in the Object Properties Area, click on the Tool tab and select Distance Transformation. (vii) Select Inside Surface Object and then the Distance Channel is created.

7. Spot detection (i) Click on Add New Spot button in the Object toolbar. (ii) Select the channel with DAPI, EdU or GFP labeled cells as source channel. Use Estimated XY Diameter at 5 µm for DAPI and EdU and 1 µm for GFP. (iii) Use Quality filter, set lower threshold at 9 for DAPI and EdU and 1 for GFP, and click on Finish button. (iv) Click on Filters and add Intensity Center Ch=Y as a filter. Note, Y is the number of the channel created in step 6. (v) The maximum threshold shown in the wizard is the maximum thickness of the object. (vi) Set Lower Threshold at and Upper Threshold at 1 to calculate number of cells in the superficial region; and set Lower Threshold at and Upper Threshold to maximum to calculate number of cells in the global region (vii) Use Filters Position X, Y or Z to calculate number of cells in different regions in the 3D image. (viii) Click on Duplicate Selection to New Spot, click on Statistics then Detailed, select the statistics of interest and Export Statistics. For example, select Intensity Center Ch=Y (Y is the number of the Distance Channel created in step 6) to export distance of the center of each nucleus from the surface of the object. 8. Volume Calculation (i) Create new surface using the Distance Channel as source channel. (ii) Uncheck Smoothing and Background Subtraction. (iii) To calculate Global Volume, set as Lower Threshold and the value of maximum thickness as Upper Threshold. To calculate Superficial Volume, set as Lower Threshold and 1 as Upper Threshold. (iv) Finish calculation and click on Statistics, Detailed and Volume to see the result.