Research Article

Quantification of Spatial Parameters in 3D Cellular Constructs Using Graph Theory

Table 3

Quantitative metrics for 3.0 105 cells/mL collagen I hydrogel 24-hour timecourse.

Time (hours)
0126101624

Average degree1.181.532.453.625.569.4014.40
Clustering Coefficient0.260.370.470.560.630.590.61
Average eccentricity1.112.082.164.2713.5214.3814.24
Maximum eccentricity (diameter)5.008.007.009.0023.0020.0019.00
Minimum eccentricity (radius)0.000.000.000.001.0010.0010.00
Average eccentricity 901.111.892.163.7711.2810.9711.28
Maximum eccentricity 905.007.007.008.0020.0016.0017.00
Minimum eccentricity 900.000.000.000.001.008.008.00
Average path length (closeness)0.841.311.412.396.977.077.36
Hop plot exponent0.200.490.410.701.081.511.46
Effective hop diameter14410546.75961.443191.99164.8826.6710.3411.29
Giant connected ratio0.130.220.200.200.680.991.00
Number of connected components35.0034.0035.0026.0012.003.001.00
Percentage of isolated points0.380.320.220.050.020.010.00
Percentage of end points0.280.190.170.120.050.020.01
Number of central points23.0023.0021.009.0011.001.0014.00
Percentage of central points0.380.320.220.050.050.000.03