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The small-world network parameters and areas under the integral curves were computed in the range of sparsity from 0.01 to 0.5.
Figure 2 shows the total number of modules of each group's mean network over the entire range of sparsity.
For simplification, M ij of each subject is thresholded to create a binarized matrix A ij in a range of sparsity, comprising between 5% and 10% of the 4,005 possible edges in a network with 90 nodes [ 28].
Post hoc analysis showed that the modularity of brain networks in MHE patients was significantly lower than those in healthy controls over the entire range of sparsity (P < 0.01).
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> -wrap-foot> The above-mentioned results were replicated for thresholded connectivity matrices across a wide range of sparsities (i.e., at least 7 of 9 sparsity levels).
For comparison, and to rule out potential bias of our results, we also computed graph metrics for thresholded connectivity matrices within a range of sparsities (i.e., network densities) between 10% and 50% with 5% steps.
The multiple-kernel models provide the user with the flexibility of models with a range of detail and sparsity.
Significant PCs are found for both groups in the sparsity range of 13 16% in the form of a negative covariation of local efficiency with perfusion (Group 1, rho between −0.351 and −0.249, Group 2 rho between −0.3940 and −0.2979), and a positive covariation of vulnerability and perfusion (in range 12 13%, Group 1 rho between 0.2276 and 0.257, Group 2 rho between 0.1858 and 0.3012).
The correlation between perfusion and graph metrics for cortical, subcortical and DMN regions for connectomes from the plausible cortico-cortical sparsity range of 11 17% [20] with their respective minima and maxima magnitudes (Spearman's rho correlation, all FDR, p<0.05 corrected) are reported for both groups in Figures 3, 4, 5 and Table 1.
The correlation between GMV and graph metrics for cortical, subcortical and DMN regions for connectomes from the plausible cortico-cortical sparsity range of 11 17% [20] with their respective minima and maxima magnitudes (Spearman's rho correlation, all FDR, p<0.05 corrected) are reported for both groups in Figures 6, 7, 8 and Table 2.
These values are logarithmically distributed within a range depending on the demanded degree of sparsity K.
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