Research Article
Quantification of Spatial Parameters in 3D Cellular Constructs Using Graph Theory
Table 6
Quantitative delaunay graph metrics for 1
10
6 cells/mL collagen I hydrogel 24-hour timecourse.
| | Time (hours) | | 0 | 1 | 2 | 6 | 10 | 16 | 24 |
| Average degree | 13.55 | 13.24 | 13.17 | 13.9 | 13.93 | 14.3 | 14.33 | Clustering Coefficient | 0.48 | 0.49 | 0.49 | 0.47 | 0.47 | 0.45 | 0.45 | Average eccentricity | 4.7 | 4.4 | 4.45 | 5.23 | 5.44 | 5.92 | 5.85 | Maximum eccentricity (diameter) | 5.8 | 5.4 | 5.2 | 6.4 | 6.8 | 7 | 7 | Minimum eccentricity (radius) | 0 | 0 | 0 | 0 | 0 | 0 | 0 | Average eccentricity 90 | 4.04 | 3.85 | 3.88 | 4.45 | 4.71 | 5.03 | 5.01 | Maximum eccentricity 90 | 5 | 4.6 | 4.6 | 5.4 | 5.8 | 6 | 6 | Minimum eccentricity 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | Average path length (closeness) | 3.01 | 2.85 | 2.89 | 3.38 | 3.58 | 3.9 | 3.93 | Hop plot exponent | 2.03 | 1.83 | 1.91 | 2.16 | 2.26 | 2.46 | 2.54 | Effective hop diameter | 3.94 | 4.02 | 3.91 | 4.43 | 4.71 | 4.84 | 4.83 | Giant connected ratio | 1 | 1 | 1 | 1 | 1 | 1 | 1 | Number of connected components | 2 | 2 | 2 | 2 | 2 | 2 | 2 | Percentage of isolated points | 0 | 0.01 | 0.01 | 0 | 0 | 0 | 0 | Percentage of end points | 0 | 0 | 0 | 0 | 0 | 0 | 0 | Number of central points | 1 | 1 | 1 | 1 | 1 | 1 | 1 | Percentage of central points | 0 | 0.01 | 0.01 | 0 | 0 | 0 | 0 | Number of nodes | 239.8 | 204 | 205 | 396 | 493.6 | 748.2 | 849.6 | Number of edges | 1628.6 | 1375.6 | 1371.2 | 2770 | 3438.4 | 5352.2 | 6100.8 |
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