All together now: analogies between chimera state collapses and epileptic seizures

Conceptually and structurally simple mathematical models of coupled oscillator networks can show a rich variety of complex dynamics, providing fundamental insights into many real-world phenomena.A recent and not yet fully understood example is the collapse of coexisting synchronous and synchronous o...

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Autores: Andrzejak, Ralph Gregor, Rummel, Christian, Mormann, Florian, Schindler, Kaspar A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10230/27621
Acceso en línea:http://hdl.handle.net/10230/27621
http://dx.doi.org/10.1038/srep23000
Access Level:acceso abierto
Palabra clave:Complex networks
Epilepsy
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spelling All together now: analogies between chimera state collapses and epileptic seizuresAndrzejak, Ralph GregorRummel, ChristianMormann, FlorianSchindler, Kaspar A.Complex networksEpilepsyConceptually and structurally simple mathematical models of coupled oscillator networks can show a rich variety of complex dynamics, providing fundamental insights into many real-world phenomena.A recent and not yet fully understood example is the collapse of coexisting synchronous and synchronous oscillations into a globally synchronous motion found in networks of identical oscillators. Here we show that this sudden collapse is promoted by a further decrease of synchronization, rather than by critically high synchronization. This strikingly counterintuitive mechanism can be found also in nature, as we demonstrate on epileptic seizures in humans. Analyzing spatiotemporal correlation profiles derived from intracranial electroencephalographic recordings (EEG) of seizures in epilepsy patients, we found a pronounced decrease of correlation at the seizure onsets. Applying our findings in a closed-loop control scheme to models of coupled oscillators in chimera states, we succeed in both provoking and preventing outbreaks of global synchronization. Our findings not only advance the understanding of networks of coupled dynamics but can open new ways to control them, thus offering a vast range of potential new applications.The authors are grateful to Ernest Montbrió and Arkady Pikovsky for useful discussion. R.G.A. and F.M. acknowledge funding from the Volkswagen foundation. R.G.A was supported by the Spanish Ministry of Economy and Competitiveness (Grant FIS2014-54177-R). This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 642563 (R.G.A.). F.M. acknowledges support from the German Research Council (DFG, MO 930/4-1 and SFB 1089) and the European Commission (FP7 602102 EPITARGET). K.S. and C.R. are grateful for support by the Swiss National Science Foundation (Projects No. SNF 320030_122010, No. 33CM30-140332, No. 32003B_155950).Nature Publishing Group201620162016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10230/27621http://dx.doi.org/10.1038/srep23000reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésScientific Reports. 2016 Mar 9; 6: 23000info:eu-repo/grantAgreement/EC/FP7/642563info:eu-repo/grantAgreement/EC/FP7/602102info:eu-repo/grantAgreement/ES/1PE/FIS2014-54177-R© This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:10230/276212026-05-29T05:05:01Z
dc.title.none.fl_str_mv All together now: analogies between chimera state collapses and epileptic seizures
title All together now: analogies between chimera state collapses and epileptic seizures
spellingShingle All together now: analogies between chimera state collapses and epileptic seizures
Andrzejak, Ralph Gregor
Complex networks
Epilepsy
title_short All together now: analogies between chimera state collapses and epileptic seizures
title_full All together now: analogies between chimera state collapses and epileptic seizures
title_fullStr All together now: analogies between chimera state collapses and epileptic seizures
title_full_unstemmed All together now: analogies between chimera state collapses and epileptic seizures
title_sort All together now: analogies between chimera state collapses and epileptic seizures
dc.creator.none.fl_str_mv Andrzejak, Ralph Gregor
Rummel, Christian
Mormann, Florian
Schindler, Kaspar A.
author Andrzejak, Ralph Gregor
author_facet Andrzejak, Ralph Gregor
Rummel, Christian
Mormann, Florian
Schindler, Kaspar A.
author_role author
author2 Rummel, Christian
Mormann, Florian
Schindler, Kaspar A.
author2_role author
author
author
dc.subject.none.fl_str_mv Complex networks
Epilepsy
topic Complex networks
Epilepsy
description Conceptually and structurally simple mathematical models of coupled oscillator networks can show a rich variety of complex dynamics, providing fundamental insights into many real-world phenomena.A recent and not yet fully understood example is the collapse of coexisting synchronous and synchronous oscillations into a globally synchronous motion found in networks of identical oscillators. Here we show that this sudden collapse is promoted by a further decrease of synchronization, rather than by critically high synchronization. This strikingly counterintuitive mechanism can be found also in nature, as we demonstrate on epileptic seizures in humans. Analyzing spatiotemporal correlation profiles derived from intracranial electroencephalographic recordings (EEG) of seizures in epilepsy patients, we found a pronounced decrease of correlation at the seizure onsets. Applying our findings in a closed-loop control scheme to models of coupled oscillators in chimera states, we succeed in both provoking and preventing outbreaks of global synchronization. Our findings not only advance the understanding of networks of coupled dynamics but can open new ways to control them, thus offering a vast range of potential new applications.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016
2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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dc.identifier.none.fl_str_mv http://hdl.handle.net/10230/27621
http://dx.doi.org/10.1038/srep23000
url http://hdl.handle.net/10230/27621
http://dx.doi.org/10.1038/srep23000
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Scientific Reports. 2016 Mar 9; 6: 23000
info:eu-repo/grantAgreement/EC/FP7/642563
info:eu-repo/grantAgreement/EC/FP7/602102
info:eu-repo/grantAgreement/ES/1PE/FIS2014-54177-R
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info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Nature Publishing Group
publisher.none.fl_str_mv Nature Publishing Group
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
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