ArticleScientific reports2020
The topology of higher-order complexes associated with brain hubs in human connectomes.
Article in Scientific reports, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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14 citing papers in PubMed, 55 citations in OpenAlex.
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- Synchronization of Kuromoto Oscillators on Simplicial Complexes: Hysteresis, Cluster Formation and Partial Synchronization.Entropy (Basel, Switzerland) · 2025Review
- Identifying key genes in cancer networks using persistent homology.Scientific reports · 2025Article
- Heterogeneous and higher-order cortical connectivity undergirds efficient, robust, and reliable neural codes.iScience · 2025Article
- A Q-analysis package for higher-order interactions analysis in Python and its application in network physiology.Frontiers in network physiology · 2025Article
- A topological deep learning framework for neural spike decoding.Biophysical journal · 2024Article
- Simplicial complex entropy for time series analysis.Scientific reports · 2023Article
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- The expanding horizons of network neuroscience: From description to prediction and control.NeuroImage · 2022Review
- Joint hub identification for brain networks by multivariate graph inference.Medical image analysis · 2021Article
- Topological analysis of interaction patterns in cancer-specific gene regulatory network: persistent homology approach.Scientific reports · 2021Article
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Authors and funding
3 authors at 3 institutions in 4 countries.
Funding
No grant is acknowledged in the PubMed record.
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.
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