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Network Curvature as a Hallmark of Brain Structural Connectivity

Institution:
1Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA. faroo014@umn.edu.
2School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA.
3Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA, USA.
4Departments of Computer Science and Applied Mathematics & Statistics, Stony Brook University, Stony Brook, NY, USA.
5Center for Magnetic Resonance Research, University of Minnesota, Minneapolis, MN, USA.
Publication Date:
Oct-2019
Journal:
Nat Commun
Volume Number:
10
Issue Number:
1
Pages:
4937
Citation:
Nat Commun. 2019 Oct 30;10(1):4937.
PubMed ID:
31666510
PMCID:
PMC6821808
Appears in Collections:
NAC, SPL
Sponsors:
1665031//National Science Foundation (NSF)
P41EB015894/EB/NIBIB NIH HHS/United States
P41 EB015902/EB/NIBIB NIH HHS/United States
P41 EB027061/EB/NIBIB NIH HHS/United States
P30 NS076408/NS/NINDS NIH HHS/United States
U24 CA180924/CA/NCI NIH HHS/United States
R01 AG048769/AG/NIA NIH HHS/United States
Generated Citation:
Farooq H., Chen Y., Georgiou T.T., Tannenbaum A., Lenglet C. Network Curvature as a Hallmark of Brain Structural Connectivity. Nat Commun. 2019 Oct 30;10(1):4937. PMID: 31666510. PMCID: PMC6821808.
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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.