The subgraph charts contain subgraphs whose composition remains quite constant over thresholds (e.g., the horizontal bands of blue, red, or yellow) as well as subgraphs that are hierarchically refined as thresholds rise (e.g., cyan becoming cyan, orange, pink, and purple). These patterns can be seen on brain surfaces (Figure 1, bottom) as relatively constant subgraph compositions for visual (blue), default (red), or fronto-parietal (yellow) regions over thresholds, and as refinement of the large cyan subgraph into hand somatosensory-motor (cyan), face somatosensory-motor
(orange), auditory (pink), and cingulo-opercular (purple) subgraphs. This bottom panel of Figure 1 plots areal assignments (spheres) in the main cohort over the modified voxelwise assignments (surfaces) in ALK inhibitor the replication cohort, demonstrating the similarity of subgraphs over thresholds across different cohorts and even across graph definitions. As Figure 2 shows, the modified voxelwise graphs also replicate well across cohorts and even in single subjects.
Fuller visualizations of these data and replications of subgraphs from other thresholds are found in Figure S3. We predicted that well-formed graphs would possess well-formed subgraphs corresponding to major functional systems of the brain. Figure 3 gives an overview Selleck Epacadostat of how well each network met this prediction. At left, PET and fMRI data defining major functional systems are shown. The next three columns display subgraphs from a single threshold of analysis for each graph (a high threshold, tailored to each graph). In the second column, areal and modified voxelwise assignments are shown simultaneously because they are in such good agreement. The areal and modified voxelwise graphs contain subgraphs that correspond to each of the functional systems, and these subgraphs contain most or all of the brain regions implicated in the functional systems, and sometimes also some extra brain regions. In contrast,
the AAL-based graph is incapable of representing most functional systems at this threshold (or any threshold; see Figure S4). The standard voxel-based graph represents some functional systems well (e.g., the default mode system), but others are only incompletely represented. Examination of other thresholds of the standard voxelwise graph (Figure S4) indicates also that at low to moderate thresholds, reasonable subgraph representations of some functional systems are found, but that as thresholds rise, portions of functional systems tend to merge, and subgraphs come to resemble a patchwork of local subgraphs across the cortex (see circled regions in Figure S4). To more quantitatively assess subgraph correspondence to functional systems, we used NMI to compare groups of coordinates from functional systems with the subgraph identities of the nodes nearest to the coordinates under each network definition. A one-factor ANOVA of NMI demonstrates an effect of graph (p < 10−7; see Figure S5).