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Related Experiment Video

Updated: Aug 2, 2025

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Persistent homology-based functional connectivity and its association with cognitive ability: Life-span study.

Hyunnam Ryu1,2, Christian Habeck1, Yaakov Stern1

  • 1Cognitive Neuroscience Division of the Department of Neurology and Taub Institute for Research on Alzheimer's Disease and the Aging Brain, Vagelos College of Physicians and Surgeons, Columbia University, New York, New York, USA.

Human Brain Mapping
|April 17, 2023
PubMed
Summary

Persistent homology (PH) offers a novel way to analyze brain information flow, revealing it better explains cognitive abilities than traditional methods. This new approach shows promise for understanding cognitive function and aging.

Keywords:
cognitive agingfunctional connectivitypersistent homologyresting-state fMRItopological data analysis

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Area of Science:

  • Neuroscience
  • Cognitive Science
  • Network Science

Background:

  • Resting-state functional networks are studied using modular or core-periphery structures to understand cognition and aging.
  • Existing methods like brain system segregation (BSS) and graph theory measures offer insights but may not capture the full complexity of brain function.

Purpose of the Study:

  • To introduce persistent homology (PH) as a novel method for analyzing functional connectivity and brain information flow.
  • To investigate the utility of PH-based functional connectivity in explaining cognitive performance.
  • To compare the explanatory power of PH-based connectivity against graph theory measures and BSS.

Main Methods:

  • Applied persistent homology (PH) to resting-state functional connectivity data from 279 healthy participants.
  • Quantified the pattern of information flow during integrated processing using PH.
  • Assessed cognitive abilities across fluid reasoning, episodic memory, vocabulary, and processing speed.

Main Results:

  • The pattern of whole-brain information flow, as measured by PH, accounted for more variance in cognitive abilities than other methods.
  • Fluid reasoning and vocabulary performance showed a significant decrease with increased information flow strength on functional connectivity.
  • PH-based functional connectivity demonstrated significant utility in explaining cognitive function.

Conclusions:

  • Persistent homology provides a powerful alternative for analyzing functional connectivity and understanding brain information processing.
  • PH-based functional connectivity is a strong predictor of cognitive performance, particularly fluid reasoning and vocabulary.
  • This novel approach holds significant potential for advancing research in cognitive aging and neurological disorders.