The topology of higher-order complexes associated with brain hubs in human connectomes.

Abstract:

:Higher-order connectivity in complex systems described by simplexes of different orders provides a geometry for simplex-based dynamical variables and interactions. Simplicial complexes that constitute a functional geometry of the human connectome can be crucial for the brain complex dynamics. In this context, the best-connected brain areas, designated as hub nodes, play a central role in supporting integrated brain function. Here, we study the structure of simplicial complexes attached to eight global hubs in the female and male connectomes and identify the core networks among the affected brain regions. These eight hubs (Putamen, Caudate, Hippocampus and Thalamus-Proper in the left and right cerebral hemisphere) are the highest-ranking according to their topological dimension, defined as the number of simplexes of all orders in which the node participates. Furthermore, we analyse the weight-dependent heterogeneity of simplexes. We demonstrate changes in the structure of identified core networks and topological entropy when the threshold weight is gradually increased. These results highlight the role of higher-order interactions in human brain networks and provide additional evidence for (dis)similarity between the female and male connectomes.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Andjelković M,Tadić B,Melnik R

doi

10.1038/s41598-020-74392-3

subject

Has Abstract

pub_date

2020-10-14 00:00:00

pages

17320

issue

1

issn

2045-2322

pii

10.1038/s41598-020-74392-3

journal_volume

10

pub_type

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