Time-delayed mutual information of the phase as a measure of functional connectivity.

We propose a time-delayed mutual information of the phase for detecting nonlinear synchronization in electrophysiological data such as MEG. Palus already introduced the mutual information as a measure of synchronization. To obtain estimates on small data-sets as reliably as possible, we adopt the nu...

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Autores principales:	Andreas Wilmer, Marc de Lussanet, Markus Lappe
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2012
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/5de6861447e941119337e496cf5e821e
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spelling	oai:doaj.org-article:5de6861447e941119337e496cf5e821e2021-11-18T07:05:17ZTime-delayed mutual information of the phase as a measure of functional connectivity.1932-620310.1371/journal.pone.0044633https://doaj.org/article/5de6861447e941119337e496cf5e821e2012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23028571/pdf/?tool=EBIhttps://doaj.org/toc/1932-6203We propose a time-delayed mutual information of the phase for detecting nonlinear synchronization in electrophysiological data such as MEG. Palus already introduced the mutual information as a measure of synchronization. To obtain estimates on small data-sets as reliably as possible, we adopt the numerical implementation as proposed by Kraskov and colleagues. An embedding with a parametric time-delay allows a reconstruction of arbitrary nonstationary connective structures--so-called connectivity patterns--in a wide class of systems such as coupled oscillatory or even purely stochastic driven processes. By using this method we do not need to make any assumptions about coupling directions, delay times, temporal dynamics, nonlinearities or underlying mechanisms. For verifying and refining the methods we generate synthetic data-sets by a mutual amplitude coupled network of Rössler oscillators with an a-priori known connective structure. This network is modified in such a way, that the power-spectrum forms a 1/f power law, which is also observed in electrophysiological recordings. The functional connectivity measure is tested on robustness to additive uncorrelated noise and in discrimination of linear mixed input data. For the latter issue a suitable de-correlation technique is applied. Furthermore, the compatibility to inverse methods for a source reconstruction in MEG such as beamforming techniques is controlled by dedicated dipole simulations. Finally, the method is applied on an experimental MEG recording.Andreas WilmerMarc de LussanetMarkus LappePublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 7, Iss 9, p e44633 (2012)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Andreas Wilmer Marc de Lussanet Markus Lappe Time-delayed mutual information of the phase as a measure of functional connectivity.
description	We propose a time-delayed mutual information of the phase for detecting nonlinear synchronization in electrophysiological data such as MEG. Palus already introduced the mutual information as a measure of synchronization. To obtain estimates on small data-sets as reliably as possible, we adopt the numerical implementation as proposed by Kraskov and colleagues. An embedding with a parametric time-delay allows a reconstruction of arbitrary nonstationary connective structures--so-called connectivity patterns--in a wide class of systems such as coupled oscillatory or even purely stochastic driven processes. By using this method we do not need to make any assumptions about coupling directions, delay times, temporal dynamics, nonlinearities or underlying mechanisms. For verifying and refining the methods we generate synthetic data-sets by a mutual amplitude coupled network of Rössler oscillators with an a-priori known connective structure. This network is modified in such a way, that the power-spectrum forms a 1/f power law, which is also observed in electrophysiological recordings. The functional connectivity measure is tested on robustness to additive uncorrelated noise and in discrimination of linear mixed input data. For the latter issue a suitable de-correlation technique is applied. Furthermore, the compatibility to inverse methods for a source reconstruction in MEG such as beamforming techniques is controlled by dedicated dipole simulations. Finally, the method is applied on an experimental MEG recording.
format	article
author	Andreas Wilmer Marc de Lussanet Markus Lappe
author_facet	Andreas Wilmer Marc de Lussanet Markus Lappe
author_sort	Andreas Wilmer
title	Time-delayed mutual information of the phase as a measure of functional connectivity.
title_short	Time-delayed mutual information of the phase as a measure of functional connectivity.
title_full	Time-delayed mutual information of the phase as a measure of functional connectivity.
title_fullStr	Time-delayed mutual information of the phase as a measure of functional connectivity.
title_full_unstemmed	Time-delayed mutual information of the phase as a measure of functional connectivity.
title_sort	time-delayed mutual information of the phase as a measure of functional connectivity.
publisher	Public Library of Science (PLoS)
publishDate	2012
url	https://doaj.org/article/5de6861447e941119337e496cf5e821e
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Time-delayed mutual information of the phase as a measure of functional connectivity.

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