Multiscale detrended cross-correlation coefficient: estimating coupling in non-stationary neurophysiological signals

The brain consists of a vastly interconnected network of regions, the connectome. By estimating the statistical interdependence of neurophysiological time series, we can measure the functional connectivity (FC) of this connectome. Pearson’s correlation (rP) is a common metric of coupling in FC studi...

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Main Authors: Orestis Stylianou, Gianluca Susi, Martin Hoffmann, Isabel Suárez-Méndez, David López-Sanz, Michael Schirner, Petra Ritter
Format: Article
Language:English
Published: Frontiers Media S.A. 2024-11-01
Series:Frontiers in Neuroscience
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Online Access:https://www.frontiersin.org/articles/10.3389/fnins.2024.1422085/full
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author Orestis Stylianou
Orestis Stylianou
Orestis Stylianou
Gianluca Susi
Gianluca Susi
Martin Hoffmann
Martin Hoffmann
Isabel Suárez-Méndez
Isabel Suárez-Méndez
David López-Sanz
David López-Sanz
Michael Schirner
Michael Schirner
Michael Schirner
Michael Schirner
Michael Schirner
Petra Ritter
Petra Ritter
Petra Ritter
Petra Ritter
Petra Ritter
author_facet Orestis Stylianou
Orestis Stylianou
Orestis Stylianou
Gianluca Susi
Gianluca Susi
Martin Hoffmann
Martin Hoffmann
Isabel Suárez-Méndez
Isabel Suárez-Méndez
David López-Sanz
David López-Sanz
Michael Schirner
Michael Schirner
Michael Schirner
Michael Schirner
Michael Schirner
Petra Ritter
Petra Ritter
Petra Ritter
Petra Ritter
Petra Ritter
author_sort Orestis Stylianou
collection DOAJ
description The brain consists of a vastly interconnected network of regions, the connectome. By estimating the statistical interdependence of neurophysiological time series, we can measure the functional connectivity (FC) of this connectome. Pearson’s correlation (rP) is a common metric of coupling in FC studies. Yet rP does not account properly for the non-stationarity of the signals recorded in neuroimaging. In this study, we introduced a novel estimator of coupled dynamics termed multiscale detrended cross-correlation coefficient (MDC3). Firstly, we showed that MDC3 had higher accuracy compared to rP and lagged covariance using simulated time series with known coupling, as well as simulated functional magnetic resonance imaging (fMRI) signals with known underlying structural connectivity. Next, we computed functional brain networks based on empirical magnetoencephalography (MEG) and fMRI. We found that by using MDC3 we could construct networks of healthy populations with significantly different properties compared to rP networks. Based on our results, we believe that MDC3 is a valid alternative to rP that should be incorporated in future FC studies.
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spelling doaj-art-b3f471f99258460cbe4e295f074772c32024-11-13T06:21:06ZengFrontiers Media S.A.Frontiers in Neuroscience1662-453X2024-11-011810.3389/fnins.2024.14220851422085Multiscale detrended cross-correlation coefficient: estimating coupling in non-stationary neurophysiological signalsOrestis Stylianou0Orestis Stylianou1Orestis Stylianou2Gianluca Susi3Gianluca Susi4Martin Hoffmann5Martin Hoffmann6Isabel Suárez-Méndez7Isabel Suárez-Méndez8David López-Sanz9David López-Sanz10Michael Schirner11Michael Schirner12Michael Schirner13Michael Schirner14Michael Schirner15Petra Ritter16Petra Ritter17Petra Ritter18Petra Ritter19Petra Ritter20Berlin Institute of Health at Charité, Universitätsmedizin Berlin, Berlin, GermanyCharité-Universitätsmedizin Berlin, Corporate Member of Freie Universität Berlin and Humboldt Universität zu Berlin, Department of Neurology with Experimental Neurology, Berlin, GermanyDepartment of Surgery, Immanuel Clinic Rüdersdorf, University Clinic of Brandenburg Medical School, Berlin, GermanyDepartment of Structure of Matter, Thermal Physics and Electronics, Complutense University of Madrid, Madrid, SpainCenter for Cognitive and Computational Neuroscience, Complutense University of Madrid, Madrid, SpainBerlin Institute of Health at Charité, Universitätsmedizin Berlin, Berlin, GermanyCharité-Universitätsmedizin Berlin, Corporate Member of Freie Universität Berlin and Humboldt Universität zu Berlin, Department of Neurology with Experimental Neurology, Berlin, GermanyDepartment of Structure of Matter, Thermal Physics and Electronics, Complutense University of Madrid, Madrid, SpainCenter for Cognitive and Computational Neuroscience, Complutense University of Madrid, Madrid, SpainCenter for Cognitive and Computational Neuroscience, Complutense University of Madrid, Madrid, SpainDepartment of Experimental Psychology, Cognitive Processes and Speech Therapy, Complutense University of Madrid, Madrid, SpainBerlin Institute of Health at Charité, Universitätsmedizin Berlin, Berlin, GermanyCharité-Universitätsmedizin Berlin, Corporate Member of Freie Universität Berlin and Humboldt Universität zu Berlin, Department of Neurology with Experimental Neurology, Berlin, GermanyBernstein Focus State Dependencies of Learning & Bernstein Center for Computational Neuroscience, Berlin, GermanyEinstein Center for Neuroscience Berlin, Berlin, GermanyEinstein Center Digital Future, Berlin, GermanyBerlin Institute of Health at Charité, Universitätsmedizin Berlin, Berlin, GermanyCharité-Universitätsmedizin Berlin, Corporate Member of Freie Universität Berlin and Humboldt Universität zu Berlin, Department of Neurology with Experimental Neurology, Berlin, GermanyBernstein Focus State Dependencies of Learning & Bernstein Center for Computational Neuroscience, Berlin, GermanyEinstein Center for Neuroscience Berlin, Berlin, GermanyEinstein Center Digital Future, Berlin, GermanyThe brain consists of a vastly interconnected network of regions, the connectome. By estimating the statistical interdependence of neurophysiological time series, we can measure the functional connectivity (FC) of this connectome. Pearson’s correlation (rP) is a common metric of coupling in FC studies. Yet rP does not account properly for the non-stationarity of the signals recorded in neuroimaging. In this study, we introduced a novel estimator of coupled dynamics termed multiscale detrended cross-correlation coefficient (MDC3). Firstly, we showed that MDC3 had higher accuracy compared to rP and lagged covariance using simulated time series with known coupling, as well as simulated functional magnetic resonance imaging (fMRI) signals with known underlying structural connectivity. Next, we computed functional brain networks based on empirical magnetoencephalography (MEG) and fMRI. We found that by using MDC3 we could construct networks of healthy populations with significantly different properties compared to rP networks. Based on our results, we believe that MDC3 is a valid alternative to rP that should be incorporated in future FC studies.https://www.frontiersin.org/articles/10.3389/fnins.2024.1422085/fullfunctional connectivityfunctional connectomenon-stationary signalsbrain networksstatistical interdependence
spellingShingle Orestis Stylianou
Orestis Stylianou
Orestis Stylianou
Gianluca Susi
Gianluca Susi
Martin Hoffmann
Martin Hoffmann
Isabel Suárez-Méndez
Isabel Suárez-Méndez
David López-Sanz
David López-Sanz
Michael Schirner
Michael Schirner
Michael Schirner
Michael Schirner
Michael Schirner
Petra Ritter
Petra Ritter
Petra Ritter
Petra Ritter
Petra Ritter
Multiscale detrended cross-correlation coefficient: estimating coupling in non-stationary neurophysiological signals
Frontiers in Neuroscience
functional connectivity
functional connectome
non-stationary signals
brain networks
statistical interdependence
title Multiscale detrended cross-correlation coefficient: estimating coupling in non-stationary neurophysiological signals
title_full Multiscale detrended cross-correlation coefficient: estimating coupling in non-stationary neurophysiological signals
title_fullStr Multiscale detrended cross-correlation coefficient: estimating coupling in non-stationary neurophysiological signals
title_full_unstemmed Multiscale detrended cross-correlation coefficient: estimating coupling in non-stationary neurophysiological signals
title_short Multiscale detrended cross-correlation coefficient: estimating coupling in non-stationary neurophysiological signals
title_sort multiscale detrended cross correlation coefficient estimating coupling in non stationary neurophysiological signals
topic functional connectivity
functional connectome
non-stationary signals
brain networks
statistical interdependence
url https://www.frontiersin.org/articles/10.3389/fnins.2024.1422085/full
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