HAT: Hypergraph analysis toolbox

Pickard, Joshua K.; Chen, Can; Rahmy, Salman,; Stansbury, Cooper; Kim, Sion; Surana, Amit; Bloch, Anthony M.; Rajapakse, Indika

doi:10.1371/journal.pcbi.1011190

Cited by 3 publications

(1 citation statement)

References 28 publications

(51 reference statements)

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“…The algorithm of [47] was used for part of the hypergraph visualization. The incidence matrix was given as input.…”

Section: Hypergraph Constructionmentioning

confidence: 99%

Hypergraph of Functional Connectivity Based on Event-Related Coherence: Magnetoencephalography Data Analysis

Peña Serrano,

Jaimes-Reátegui,

Pisarchik

2024

Applied Sciences

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We construct hypergraphs to analyze functional brain connectivity, leveraging event-related coherence in magnetoencephalography (MEG) data during the visual perception of a flickering image. Principal network characteristics are computed for the delta, theta, alpha, beta, and gamma frequency ranges. Employing a coherence measure, a statistical estimate of correlation between signal pairs across frequencies, we generate an edge time series, depicting how an edge evolves over time. This forms the basis for constructing an edge-to-edge functional connectivity network. We emphasize hyperedges as connected components in an absolute-valued functional connectivity network. Our coherence-based hypergraph construction specifically addresses functional connectivity among four brain lobes in both hemispheres: frontal, parietal, temporal, and occipital. This approach enables a nuanced exploration of individual differences within diverse frequency bands, providing insights into the dynamic nature of brain connectivity during visual perception tasks. The results furnish compelling evidence supporting the hypothesis of cortico–cortical interactions occurring across varying scales. The derived hypergraph illustrates robust activation patterns in specific brain regions, indicative of their engagement across diverse cognitive contexts and different frequency bands. Our findings suggest potential integration or multifunctionality within the examined lobes, contributing valuable perspectives to our understanding of brain dynamics during visual perception.

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“…The algorithm of [47] was used for part of the hypergraph visualization. The incidence matrix was given as input.…”

Section: Hypergraph Constructionmentioning

confidence: 99%

Hypergraph of Functional Connectivity Based on Event-Related Coherence: Magnetoencephalography Data Analysis

Peña Serrano,

Jaimes-Reátegui,

Pisarchik

2024

Applied Sciences

View full text Add to dashboard Cite

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Stability of ecological systems: A theoretical review

Chen,

Wang,

Liu

2024

Physics Reports

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Hypergraph of Functional Connectivity Based on Event-Related Coherence: MEG Data Analysis

Serrano,

Jaimes-Reátegui,

Pisarchik

2024

Preprint

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We construct hypergraphs to analyze functional brain connectivity, leveraging event-related coherence in magnetoencephalography (MEG) data during the visual perception of a flickering image. Principal network characteristics are computed for delta, theta, alpha, beta, and gamma frequency ranges. Employing a coherence measure, a statistical estimate of correlation between signal pairs across frequencies, we generate edge time series, depicting how an edge evolves over time. This forms the basis for constructing an edge-to-edge functional connectivity network. Emphasizing hyperedges as connected components in an absolute-valued functional connectivity network, we focus on exploring these hyperedges in the context of individual variability. Our coherence-based hypergraph construction specifically addresses functional connectivity among four brain lobes: frontal, parietal, temporal, and occipital. This approach enables a nuanced exploration of individual differences within diverse frequency bands, providing insights into the dynamical nature of brain connectivity during visual perception tasks. The results furnish compelling evidence supporting the hypothesis of cortico-cortical interactions occurring across varying scales. The derived hypergraph illustrates robust activation patterns in specific brain regions, indicative of their engagement across diverse cognitive contexts and different frequency bands. Our findings suggest potential integration or multifunctionality within the examined lobes, contributing valuable perspectives to our understanding of brain dynamics during visual perception.

show abstract

HAT: Hypergraph analysis toolbox

Cited by 3 publications

References 28 publications

Hypergraph of Functional Connectivity Based on Event-Related Coherence: Magnetoencephalography Data Analysis

Hypergraph of Functional Connectivity Based on Event-Related Coherence: Magnetoencephalography Data Analysis

Stability of ecological systems: A theoretical review

Hypergraph of Functional Connectivity Based on Event-Related Coherence: MEG Data Analysis

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