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Evaluating topological and graph-theoretical approaches to extract complex multimodal brain connectivity patterns in
Toni Lozano-Bagén1, Eloy Martinez-Heras2, Giuseppe Pontillo3,4,5
1Department of Computer Science, Universitat Autònoma de Barcelona, Barcelona, Spain.
Health Information Science and Systems
|October 22, 2025
Summary
Topological Betti curves outperform traditional graph metrics for identifying multiple sclerosis (MS) in brain networks. Combining multimodal data and multilayer networks improves diagnostic accuracy for neurodegenerative diseases.
Area of Science:
- Neuroscience
- Data Science
- Medical Imaging
Background:
- Brain networks derived from MRI are crucial for understanding brain organization.
- Graph-theoretical metrics analyze network properties like efficiency and integration.
- Topological data analysis, including Betti curves, offers novel methods for capturing complex network patterns.
Purpose of the Study:
- To compare Betti curves and graph-theoretical metrics for feature extraction in neurodegenerative disease.
- To evaluate these methods in distinguishing people with multiple sclerosis (PwMS) from healthy volunteers (HV).
- To assess the impact of multimodal data and multilayer architectures on classification performance.
Main Methods:
- Features were extracted from structural connectivity, gray matter morphology, and resting-state functional networks.
- Both single-layer and multilayer graph architectures were utilized.
- Betti curves and graph-theoretical metrics were compared for their discriminative power.
Main Results:
- Betti curve-derived features generally showed superior performance compared to graph-theoretical metrics.
- Multimodal data integration and multilayer graph architectures enhanced the representation of brain alterations.
- Improved classification accuracy was observed when using combined features and advanced network structures.
Conclusions:
- Topological features, specifically Betti curves, show significant potential for neurodegenerative disease analysis.
- Multimodal data integration and multilayer network analysis are effective strategies for improving diagnostic capabilities.
- These findings support the use of advanced topological and network approaches for understanding and diagnosing conditions like MS.

