Table 3 Structural properties of communities uncovered in the vascular networks.

From: Glioblastoma multiforme restructures the topological connectivity of cerebrovascular networks

 

〈Q〉

〈Nc〉

〈Nice〉 · 103

〈\({{\boldsymbol{\rho }}}_{{\boldsymbol{c}}}\)〉 mm−3

〈\({{\boldsymbol{\rho }}}_{{\boldsymbol{ice}}}\)〉 · 103 mm−3

〈\(\bar{{\boldsymbol{n}}}\)〉 · 103

〈\(\bar{{\boldsymbol{e}}}\)〉 · 103

〈\(\bar{{\boldsymbol{R}}}\)〉 μm

〈\(\bar{{\boldsymbol{P}}}\)〉

Healthy networks

0.51 ± 0.01

88 ± 21

25.18 ± 9.35

6 ± 2

1.8 ± 0.8

5.6 ± 3.1

8.8 ± 5.1

275 ± 74

573 ± 344

U87 full networks

0.50 ± 0.02

112 ± 30

8.17 ± 4.35

14 ± 7

1.2 ± 0.7

1.9 ± 1.3

2.8 ± 2.1

211 ± 65

173 ± 143

U87 core networks

0.43 ± 0.06

36 ± 24

0.08 ± 0.12

179 ± 147

0.3 ± 0.4

0.07 ± 0.06

0.09 ± 0.08

94 ± 35

5 ± 6

GL261 full networks

0.57 ± 0.03

204 ± 50

1.38 ± 0.89

77 ± 18

0.5 ± 0.3

0.3 ± 0.3

0.4 ± 0.5

110 ± 51

14 ± 26

GL261 core networks

0.48 ± 0.12

45 ± 30

0.06 ± 0.08

176 ± 58

0.2 ± 0.3

0.06 ± 0.05

0.09 ± 0.08

70 ± 25

3 ± 5

  1. Mean values with SD among samples are given for the final partitioning modularity Q, the number of communities per specimen Nc, the number of intercommunity edges Nice, the mean number of communities and intercommunity edges per mm3 (shrunken) tissue volume, \({\rho }_{c}\) and \({\rho }_{ice}\), respectively, the mean number of nodes \(\bar{n}\) and edges \(\bar{e}\) per community, as well as mean physical extent \(\bar{R}\) and perimeter \(\bar{P}\) of the communities within each sample.
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