Higher-order functional connectivity analysis of resting-state functional magnetic resonance imaging data using
Rikkert Hindriks1, Tommy A A Broeders2, Menno M Schoonheim2
1Department of Mathematics, Faculty of Science, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands.
This study introduces multivariate cumulants to quantify higher-order brain connectivity using blood-oxygen-level-dependent (BOLD) functional magnetic resonance imaging (fMRI). This novel method reveals distinct higher-order networks and aids in classifying neurological disease groups.
Area of Science:
- Neuroimaging
- Computational Neuroscience
- Network Science
Background:
- Blood-oxygen-level-dependent (BOLD) functional magnetic resonance imaging (fMRI) is a primary tool for studying brain functional connectivity.
- Current research predominantly focuses on pairwise (second-order) connectivity, neglecting complex, multi-region interactions.
- Existing methods struggle to differentiate between second-order and genuine higher-order brain connectivity.
Purpose of the Study:
- To introduce and validate a novel method for quantifying genuine higher-order functional connectivity in fMRI data.
- To differentiate higher-order connectivity from pairwise connectivity.
- To assess the utility of this method in clinical and cognitive neuroscience applications.
Main Methods:
- Development and application of multivariate cumulants to estimate higher-order connectivity.
- Utilizing block bootstrapping for robust statistical inference.
- Formulating a generative model for fMRI signals to evaluate method performance (bias, standard errors, detection probabilities).
Main Results:
- Demonstrated that multivariate cumulants reliably quantify genuine higher-order connectivity, distinct from second-order networks.
- Analysis of resting-state fMRI data revealed spontaneous signals organized into unique higher-order networks.
- Successfully classified multiple sclerosis patient groups and explained behavioral variability using the developed cumulant-based approach.
Conclusions:
- Multivariate cumulants offer a reliable framework for estimating genuine higher-order functional connectivity in fMRI.
- This approach enables the construction of hyperedges, advancing network analysis.
- The method shows promise for applications in neuropsychiatric disease research and cognitive neuroscience.
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