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Headshot of Isaac Arelio.

Isaac Arelio, PhD

Isaac Arelio holds a PhD in mathematics from the Universidad National Autonomous University of Mexico (UNAM).

By This Contributor

  • The Betti-0 curve. A, Two-dimensional toy example: a set of 15 nodes, four filtration values ε, represented as the circle diameter and their corresponding Betti-0 (B0). B, Betti-0 curve for a hypothetical brain network; each point in the curve represents the B0 for each filtration value. In both cases, at ε = 0 the number of components is equal to the number of nodes, n. As the filtration value increases, the number of components reduces, and eventually will reach a single one containing all nodes. Brain views generated with brain-net (Xia et al., 2013), r stands for Pearson’s correlation.
    Exploring Individual Brain Connectomes With Topological Data Analysis in ADHD
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