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

Table 6

Quantitative delaunay graph metrics for 1 × 10⁶ 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