File Name : supple fig1.tif

Caption : supple fig. 1. definition of branches and nodes and derivation of the pseudo-depth of cells. (a) definition of skeletonized vessel branches and nodes. (b) by applying the sobel filter, the pseudo-depth of the cells was estimated based on the measured focal sharpness.

File Name : supple fig2.tif

Caption : supple fig. 2. other indicators of the daily progression of three-dimensional (3d) angiogenic morphogenesis. quantitative graphs of barea, beucleng, bwidthdiff, bcellnum, nnum, peri, and area. barea, branch area; bcellnum, branch cell number; beucleng, branch euclidean length; bwidthdiff, branch width differentiation; nnum, node number; peri, perimeter.

File Name : supple fig3.tif

Caption : supple fig. 3. other indicators of 3d angiogenic morphogenesis in response to the concentration of vegf. quantitative graphs of barea, beucleng, bwidthdiff, bcellnum, ncellnum, and area. barea, branch area; beucleng, branch euclidean length; bwidthdiff, branch width differentiation; ncellnum, node cell number; vegf, vascular endothelial growth factor.

File Name : supple fig4.tif

Caption : supple fig. 4. other indicators of 3d angiogenic morphogenesis in the presence of s1p. quantitative graphs of bcurv, barea, beucleng, bwidthdiff, nradi, and nconnectb. barea, branch area; bcurv, branch curvature; beucleng, branch euclidean length; bwidthdiff, branch width differentiation; nconnectb, node-connected branch; nradi, node radius; s1p, sphingosine-1-phosphate.

File Name : supple fig5.tif

Caption : supple fig. 5. distribution of branches along the z-axis in the presence of s1p. a) representative 3d confocal images of sprouted branches. the scale bar is 50 μm. b) the z-axis projection of the image (a). the scale bar is 50 μm. c) the z-axis position of the branches on the red, green, and blue lines in image b). the height of the roi was 92 μm. 3d, three-dimensional; roi, region of interest; s1p, sphingosine-1-phosphate.

File Name : supple fig6.tif

Caption : supple fig. 6. differences in angiogenic sprouting according to vegf concentration. a) phase-contrast images representing angiogenic morphogenesis on days 2, 4, 6, and 8 in response to 100 and 200 ng/ml vegf. the scale bar is 200 μm. b) quantification of the number of angiogenic sprouts based on phase-contrast images. vegf, vascular endothelial growth factor.

File Name : supple fig7.tif

Caption : supple fig. 7. representative images of angiogenic morphogenesis in daily progression (a) and in relation to vegf concentration (b). the scale bar is 200 μm. vegf, vascular endothelial growth factor.

File Name : supple fig8.tif

Caption : supple fig. 8. images of representative processes in the skeletonization processing. a) the entire procedure for skeletonization processing. b) binary image with and without gaussian blurring.