Table 1.

Wavelet scale dependency of functional connectivity and small-world parameters for an entire human brain network

Scale Hz rRLnetCnet λ γ σ
1 0.23-0.45 0.12 0.13 2.9 0.534 1.28 1.81 1.42
2 0.11-0.23 0.21 0.2 2.6 0.566 1.12 2.14 1.92
3 0.06-0.11 0.39 0.39 2.69 0.555 1.16 2.22 1.91
4 0.03-0.06 0.45 0.44 2.49 0.525 1.08 2.38 2.19
5 0.01-0.03 0.44 0.35 2.4 0.554 1.04 2.39 2.30
6 0.007-0.01 0.41 0.17 2.65 0.515 1.15 2.15 1.88
  • Scales 1-6 of the MODWT denote progressively lower-frequency intervals (Hz). r is the mean inter-regional correlation, and R is the correlation threshold. Lnet and Cnet are the mean path length and clustering coefficient, respectively, of the thresholded network. The λ and γ are ratios of brain network path length and clustering coefficient, respectively, to comparable random network metrics. The equation σ = γ/λ is a scalar measure of “small-worldness.”