<p>The steps illustrating the TPC algorithm for inferring CFC from neural time-series data are as follows: First, the time-series data is reorganized into sequential samples, accounting for the maximum interaction delay, <math display="inline"><semantics> <mi>τ</mi> </semantics></math> (<math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> in this case). The Peter-Clark (PC) algorithm is then applied to these samples to estimate an unrolled directed acyclic graph (DAG) that satisfies the Directed Markov Property. Finally, the unrolled DAG is converted into a rolled CFC graph representing connections between different brain regions.</p> Full article ">Figure 2
<p>The CFC for a representative cognitively normal (CN) subject, as inferred using the TPC algorithm, is illustrated. The resulting CFC is displayed as an adjacency matrix in the left column, where each non-zero element <math display="inline"><semantics> <mrow> <mo>(</mo> <mi>i</mi> <mo>,</mo> <mi>j</mi> <mo>)</mo> </mrow> </semantics></math> indicates a directed connection from region <span class="html-italic">i</span> to region <span class="html-italic">j</span>. Directed graph edges visually represent the CFC on the Frontal, Axial, and Lateral brain views (columns 2 through 4). Nodes correspond to the central points of brain regions, with lighter gray indicating superficial regions and darker gray denoting deeper ones, as defined by the AAL brain atlas. Additionally, brain regions are marked for the Left (L) and Right (R) hemispheres and the Vermis (V).</p> Full article ">Figure 3
<p>This figures shows the significantly altered sub-networks obtained by NBS implemented on the CFC outcome of TPC. For NBS test-statistics thresholds of 1.8, 2.2 and 2.3 (top to bottom), the thresholded edge-wise <span class="html-italic">t</span>-test statistics (left column) and the result of the NBS corrected sub-network are shown: weighted adjacency matrix representation (2nd column from left), graphical representation on brain schematics on the Frontal, Axial and Lateral brain maps (3rd to 5th columns from left).</p> Full article ">