Topological signatures of brain dynamics: persistent homology reveals individuality and brain–behavior links

IntroductionUnderstanding individual differences in brain dynamics is a central goal in neuroscience. While conventional time series features capture signal properties of local brain regions, they often fail to reveal the deeper structure embedded in the brain's complex activity patterns.Method...

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Main Authors: Yue Wang, Junxing Xian, Yuanyuan Chen, Yan Yan
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-05-01
Series:Frontiers in Human Neuroscience
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Online Access:https://www.frontiersin.org/articles/10.3389/fnhum.2025.1607941/full
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author Yue Wang
Yue Wang
Junxing Xian
Yuanyuan Chen
Yuanyuan Chen
Yan Yan
Yan Yan
author_facet Yue Wang
Yue Wang
Junxing Xian
Yuanyuan Chen
Yuanyuan Chen
Yan Yan
Yan Yan
author_sort Yue Wang
collection DOAJ
description IntroductionUnderstanding individual differences in brain dynamics is a central goal in neuroscience. While conventional time series features capture signal properties of local brain regions, they often fail to reveal the deeper structure embedded in the brain's complex activity patterns.MethodsResting-state fMRI data from approximately 1,000 subjects in the Human Connectome Project were analyzed. A TDA-based framework integrating time-delay embeddings and persistent homology was employed to extract global dynamic features from resting-state fMRI data. Classification models and canonical correlation analysis (CCA) were employed to examine the associations between brain topological features and individual characteristics, including gender and behavioral traits.ResultsTopological features exhibited high test-retest reliability and enabled accurate individual identification across sessions. In classification tasks, these features outperformed commonly used temporal features in predicting gender. Canonical correlation analysis identified a significant brain-behavior mode that links topological brain patterns to cognitive measures and psychopathological risks. Regression analyses across behavioral domains showed that persistent homology features matched or exceeded the predictive performance of traditional features in higher-order domains such as cognition, emotion, and personality, while traditional features performed slightly better in sensory-related domains.DiscussionThese findings highlight persistent homology as a robust and informative framework for modeling individual differences in brain function, offering promising avenues for personalized neuroimaging analysis.
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publisher Frontiers Media S.A.
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series Frontiers in Human Neuroscience
spelling doaj-art-bef656688a5249a58af5869abc24fb062025-08-20T03:21:46ZengFrontiers Media S.A.Frontiers in Human Neuroscience1662-51612025-05-011910.3389/fnhum.2025.16079411607941Topological signatures of brain dynamics: persistent homology reveals individuality and brain–behavior linksYue Wang0Yue Wang1Junxing Xian2Yuanyuan Chen3Yuanyuan Chen4Yan Yan5Yan Yan6Academy of Medical Engineering and Translational Medicine, Medical School of Tianjin University, Tianjin University, Tianjin, ChinaCollege of Precision Instruments and Optoelectronics Engineering, Tianjin University, Tianjin, ChinaState Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing, ChinaAcademy of Medical Engineering and Translational Medicine, Medical School of Tianjin University, Tianjin University, Tianjin, ChinaCollege of Precision Instruments and Optoelectronics Engineering, Tianjin University, Tianjin, ChinaState Key Laboratory of Biomedical Imaging Science and System, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong, ChinaCenter of Medical Information, Wenzhou Institute of Technology, Wenzhou, ChinaIntroductionUnderstanding individual differences in brain dynamics is a central goal in neuroscience. While conventional time series features capture signal properties of local brain regions, they often fail to reveal the deeper structure embedded in the brain's complex activity patterns.MethodsResting-state fMRI data from approximately 1,000 subjects in the Human Connectome Project were analyzed. A TDA-based framework integrating time-delay embeddings and persistent homology was employed to extract global dynamic features from resting-state fMRI data. Classification models and canonical correlation analysis (CCA) were employed to examine the associations between brain topological features and individual characteristics, including gender and behavioral traits.ResultsTopological features exhibited high test-retest reliability and enabled accurate individual identification across sessions. In classification tasks, these features outperformed commonly used temporal features in predicting gender. Canonical correlation analysis identified a significant brain-behavior mode that links topological brain patterns to cognitive measures and psychopathological risks. Regression analyses across behavioral domains showed that persistent homology features matched or exceeded the predictive performance of traditional features in higher-order domains such as cognition, emotion, and personality, while traditional features performed slightly better in sensory-related domains.DiscussionThese findings highlight persistent homology as a robust and informative framework for modeling individual differences in brain function, offering promising avenues for personalized neuroimaging analysis.https://www.frontiersin.org/articles/10.3389/fnhum.2025.1607941/fullfunctional magnetic resonance imagingtopological data analysispersistent homologyindividual differencesbrain-behavior relationships
spellingShingle Yue Wang
Yue Wang
Junxing Xian
Yuanyuan Chen
Yuanyuan Chen
Yan Yan
Yan Yan
Topological signatures of brain dynamics: persistent homology reveals individuality and brain–behavior links
Frontiers in Human Neuroscience
functional magnetic resonance imaging
topological data analysis
persistent homology
individual differences
brain-behavior relationships
title Topological signatures of brain dynamics: persistent homology reveals individuality and brain–behavior links
title_full Topological signatures of brain dynamics: persistent homology reveals individuality and brain–behavior links
title_fullStr Topological signatures of brain dynamics: persistent homology reveals individuality and brain–behavior links
title_full_unstemmed Topological signatures of brain dynamics: persistent homology reveals individuality and brain–behavior links
title_short Topological signatures of brain dynamics: persistent homology reveals individuality and brain–behavior links
title_sort topological signatures of brain dynamics persistent homology reveals individuality and brain behavior links
topic functional magnetic resonance imaging
topological data analysis
persistent homology
individual differences
brain-behavior relationships
url https://www.frontiersin.org/articles/10.3389/fnhum.2025.1607941/full
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