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Cross-Frequency Multilayer Network Analysis with Bispectrum-based Functional Connectivity: A Study of Alzheimer’s Disease

Dominik Klepl, View ORCID ProfileFei He, Min Wu, Daniel J. Blackburn, View ORCID ProfilePtolemaios G. Sarrigiannis
doi: https://doi.org/10.1101/2021.08.07.455499
Dominik Klepl
1Centre for Computational Science and Mathematical Modelling, Coventry University, Coventry CV1 2JH, UK
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Fei He
1Centre for Computational Science and Mathematical Modelling, Coventry University, Coventry CV1 2JH, UK
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  • For correspondence: fei.he@coventry.ac.uk
Min Wu
2Institute for Infocomm Research, Agency for Science, Technology and Research (A*STAR), 138632, Singapore
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Daniel J. Blackburn
3Department of Neuroscience, University of Sheffield, Sheffield, S10 2HQ, UK
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Ptolemaios G. Sarrigiannis
4Department of Neurophysiology, Royal Devon and Exeter NHS Foundation Trust, Exeter, EX2 5DW, UK
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  • ORCID record for Ptolemaios G. Sarrigiannis
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Abstract

Alzheimer’s disease (AD) is a neurodegenerative disorder known to affect functional connectivity (FC) across many brain regions. Linear FC measures have been applied to study the differences in AD by splitting neurophysiological signals, such as electroencephalography (EEG) recordings, into discrete frequency bands and analysing them in isolation from each other. We address this limitation by quantifying cross-frequency FC in addition to the traditional within-band approach. Cross-bispectrum, a higher-order spectral analysis approach, is used to measure the nonlinear FC and is compared with the cross-spectrum, which only measures the linear FC within bands. This work reports the first use of cross-bispectrum to reconstruct a cross-frequency FC network where each frequency band is treated as a layer in a multilayer network with both inter- and intra-layer edges. An increase of within-band FC in AD cases is observed in low-frequency bands using both methods. Cross-bispectrum also detects multiple cross-frequency differences, mainly increased FC in AD cases in δ-θ coupling. Overall, increased strength of low-frequency coupling and decreased level of high-frequency coupling is observed in AD cases in comparison to healthy controls (HC). Vulnerability analysis reveals that the integration and segregation properties of networks are enabled by different frequency couplings in AD networks compared to HCs. Moreover, the segregation property depends less on the γ interactions in AD cases, suggesting a shift from high to low-frequency connectivity. The results highlight the importance of studying nonlinearity and including cross-frequency FC in characterising AD. Moreover, the results demonstrate the advantages and limitations of using cross-bispectrum to reconstruct FC networks.

Competing Interest Statement

The authors have declared no competing interest.

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC 4.0 International license.
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Posted March 11, 2022.
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Cross-Frequency Multilayer Network Analysis with Bispectrum-based Functional Connectivity: A Study of Alzheimer’s Disease
Dominik Klepl, Fei He, Min Wu, Daniel J. Blackburn, Ptolemaios G. Sarrigiannis
bioRxiv 2021.08.07.455499; doi: https://doi.org/10.1101/2021.08.07.455499
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Cross-Frequency Multilayer Network Analysis with Bispectrum-based Functional Connectivity: A Study of Alzheimer’s Disease
Dominik Klepl, Fei He, Min Wu, Daniel J. Blackburn, Ptolemaios G. Sarrigiannis
bioRxiv 2021.08.07.455499; doi: https://doi.org/10.1101/2021.08.07.455499

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