ArticleNature communications2019
Network curvature as a hallmark of brain structural connectivity.
Article in Nature communications, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 29 papers, 1 of them a synthesis that pooled it.
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Who cites it
29 citing papers in PubMed, 1 synthesis or guideline pooled it.
- Graph Ricci curvatures reveal atypical functional connectivity in autism spectrum disorder.Scientific reports · 2022Pooled it
- Cortical neuron classes and recursive curvature collapse: a neurobiological model of conscious dynamics.Theory in biosciences = Theorie in den Biowissenschaften · 2026Article
- A complex network perspective on brain disease.Biological reviews of the Cambridge Philosophical Society · 2026Review
- Article
- ORCO: Ollivier-Ricci Curvature-Omics-an unsupervised method for analyzing robustness in biological systems.Bioinformatics (Oxford, England) · 2025Article
- Neighbourhood topology unveils pathological hubs in the brain networks of epilepsy-surgery patients.Brain communications · 2025Article
- Curvature-enhanced graph convolutional network for biomolecular interaction prediction.Computational and structural biotechnology journal · 2024Article
- ORCO: Ollivier-Ricci Curvature-Omics - an unsupervised method for analyzing robustness in biological systems.bioRxiv : the preprint server for biology · 2024Article
- Distribution of centrality measures on undirected random networks via the cavity method.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- EXO1/P53/SREBP1 axis-regulated lipid metabolism promotes prostate cancer progression.Journal of translational medicine · 2024Article
- Dynamic network curvature analysis of gene expression reveals novel potential therapeutic targets in sarcoma.Scientific reports · 2024Article
- DomiRank Centrality reveals structural fragility of complex networks via node dominance.Nature communications · 2024Article
- Multimodal data integration for oncology in the era of deep neural networks: a review.Frontiers in artificial intelligence · 2024Review
- Discrete Ricci curvatures capture age-related changes in human brain functional connectivity networks.Frontiers in aging neuroscience · 2023Article
- Mapping the human connectome using diffusion MRI at 300 mT/m gradient strength: Methodological advances and scientific impact.NeuroImage · 2022Review
- Inferring functional communities from partially observed biological networks exploiting geometric topology and side information.Scientific reports · 2022Article
- A hands-on tutorial on network and topological neuroscience.Brain structure & function · 2022Review
- Comprehensive diffusion MRI dataset for in vivo human brain microstructure mapping using 300 mT/m gradients.Scientific data · 2022Article
- Changes in the geometry and robustness of diffusion tensor imaging networks: Secondary analysis from a randomized controlled trial of young autistic children receiving an umbilical cord blood infusion.Frontiers in psychiatry · 2022Article
- The network collapse in multiple sclerosis: An overview of novel concepts to address disease dynamics.NeuroImage. Clinical · 2022Review
Corrections and comments
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Authors and funding
5 authors.
Funding
Abstract
Although brain functionality is often remarkably robust to lesions and other insults, it may be fragile when these take place in specific locations. Previous attempts to quantify robustness and fragility sought to understand how the functional connectivity of brain networks is affected by structural changes, using either model-based predictions or empirical studies of the effects of lesions. We advance a geometric viewpoint relying on a notion of network curvature, the so-called Ollivier-Ricci curvature. This approach has been proposed to assess financial market robustness and to differentiate biological networks of cancer cells from healthy ones. Here, we apply curvature-based measures to brain structural networks to identify robust and fragile brain regions in healthy subjects. We show that curvature can also be used to track changes in brain connectivity related to age and autism spectrum disorder (ASD), and we obtain results that are in agreement with previous MRI studies.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.