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Discrete Ricci curvatures capture age-related changes in human brain functional connectivity networks.

Yasharth Yadav1,2, Pavithra Elumalai1, Nitin Williams3,4

  • 1The Institute of Mathematical Sciences (IMSc), Chennai, India.

Frontiers in Aging Neuroscience
|June 9, 2023
PubMed
Summary

Discrete Ricci curvature measures reveal age-related changes in brain functional connectivity. These geometry-inspired methods highlight brain regions involved in movement and emotion processing, offering new insights into cognitive aging.

Keywords:
Forman-Ricci curvatureMPI-LEMONOllivier-Ricci curvaturefunctional connectivity networkshealthy agingmotor performancenon-invasive brain stimulationresting-state fMRI

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Area of Science:

  • Neuroscience
  • Network Science
  • Computational Anatomy

Background:

  • Discrete Ricci curvature is used to detect disrupted brain connectivity in neuropsychiatric disorders.
  • Its application to characterize age-related functional connectivity changes remains unexplored.

Purpose of the Study:

  • To investigate the utility of Forman-Ricci and Ollivier-Ricci curvature in characterizing age-related functional connectivity differences.
  • To explore the association of these curvature differences with cognitive functions and behavioral outcomes.

Main Methods:

  • Applied Forman-Ricci and Ollivier-Ricci curvature to functional connectivity networks.
  • Compared networks from healthy young and older adults (N=225) from the MPI-LEMON dataset.
  • Utilized meta-analysis decoding and correlated curvature with behavioral scores.

Main Results:

  • Both curvature measures detected whole-brain and regional age-related functional connectivity differences.
  • Regions with age-related curvature differences are linked to movement, affective, and somatosensory processing.
  • Curvature values correlated with affective processing behaviors and overlapped with regions benefiting from non-invasive stimulation for movement.

Conclusions:

  • Forman-Ricci and Ollivier-Ricci curvature effectively identify functionally and clinically relevant brain regions.
  • Discrete Ricci curvature is sensitive to age-related alterations in functional connectivity organization.
  • These findings support the use of discrete Ricci curvature in understanding brain network changes in aging and disease.