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

Table 5

Quantitative metrics for 1 × 10⁶ cells/mL collagen I hydrogel 24-hour timecourse.

	Time (hours)
	0	1	2	6	10	16	24
Average degree	12.47	6.30	7.05	11.47	14.70	22.68	50.07
Clustering Coefficient	0.71	0.64	0.67	0.67	0.65	0.62	0.66
Average eccentricity	15.93	10.66	12.90	15.59	13.41	11.68	11.29
Maximum eccentricity (diameter)	21.67	18.33	21.00	21.67	17.33	15.00	14.67
Minimum eccentricity (radius)	1.00	0.67	1.00	8.00	6.33	8.00	7.67
Average eccentricity 90	12.28	8.56	11.08	12.51	10.82	9.35	9.02
Maximum eccentricity 90	19.33	16.33	18.67	18.67	14.67	12.67	12.33
Minimum eccentricity 90	1.00	0.67	1.00	6.33	5.00	7.00	6.00
Average path length (closeness)	7.84	5.23	6.65	7.58	7.00	6.11	5.85
Hop plot exponent	1.33	1.01	1.07	1.24	1.39	1.54	1.52
Effective hop diameter	12.47	35.15	22.77	16.26	10.99	9.44	9.12
Giant connected ratio	0.98	0.65	0.73	0.88	0.99	1.00	1.00
Number of connected components	4.00	14.67	11.33	3.33	3.00	1.00	1.00
Percentage of isolated points	0.00	0.02	0.02	0.00	0.01	0.00	0.00
Percentage of end points	0.01	0.09	0.04	0.01	0.01	0.00	0.00
Number of central points	4.67	10.33	10.33	5.33	9.67	13.33	34.67
Percentage of central points	0.01	0.06	0.05	0.02	0.02	0.02	0.02
Number of nodes	380.33	190.00	218.33	350.33	440.00	743.33	1458.67
Number of edges	2378.67	604.33	769.00	2049.33	3339.00	8454.33	36770.33