Synchronization patterns in modular neuronal networks: a case study of C. elegans

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dc.contributor.author Pournaki, Armin
dc.contributor.author Merfort, Leon
dc.contributor.author Ruiz, Jorge
dc.contributor.author Kouvaris, Nikos E.
dc.contributor.author Hövel, Philipp
dc.contributor.author Hizanidis, Johanne
dc.date.accessioned 2019-10-30T05:51:56Z
dc.date.available 2019-10-30T05:51:56Z
dc.date.issued 2019-10-24
dc.identifier.citation Pournaki, A., Merfort, L., Ruiz, J., Kouvaris, N. E., Hövel, P. and Hizanidis, J. (2019) 'Synchronization Patterns in Modular Neuronal Networks: A Case Study of C. elegans', Frontiers in Applied Mathematics and Statistics, 5, 52. (19pp.) doi: 10.3389/fams.2019.00052 en
dc.identifier.volume 5 en
dc.identifier.startpage 1 en
dc.identifier.endpage 19 en
dc.identifier.uri http://hdl.handle.net/10468/8912
dc.identifier.doi 10.3389/fams.2019.00052 en
dc.description.abstract We investigate synchronization patterns and chimera-like states in the modular multilayer topology of the connectome of Caenorhabditis elegans. In the special case of a designed network with two layers, one with electrical intra-community links and one with chemical inter-community links, chimera-like states are known to exist. Aiming at a more biological approach based on the actual connectivity data, we consider a network consisting of two synaptic (electrical and chemical) and one extrasynaptic (wireless) layers. Analyzing the structure and properties of this layered network using Multilayer-Louvain community detection, we identify modules whose nodes are more strongly coupled with each other than with the rest of the network. Based on this topology, we study the dynamics of coupled Hindmarsh-Rose neurons. Emerging synchronization patterns are quantified using the pairwise Euclidean distances between the values of all oscillators, locally within each community and globally across the network. We find a tendency of the wireless coupling to moderate the average coherence of the system: for stronger wireless coupling, the levels of synchronization decrease both locally and globally, and chimera-like states are not favored. By introducing an alternative method to define meaningful communities based on the dynamical correlations of the nodes, we obtain a structure that is dominated by two large communities. This promotes the emergence of chimera-like states and allows to relate the dynamics of the corresponding neurons to biological neuronal functions such as motor activities. en
dc.description.sponsorship Deutsche Forschungsgemeinschaft (Grant no. HO4695/3-1); Hellenic Foundation for Research and Innovation (HFRI) (Code: 203); Université Catholique de Louvain, Université de Namur, Université Saint-Louis, Bruxelles (MOVE-IN Louvain fellowship) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher Frontiers Media en
dc.relation.uri https://www.frontiersin.org/articles/10.3389/fams.2019.00052/full
dc.rights ©2019 Pournaki, Merfort, Ruiz, Kouvaris, Hövel and Hizanidis. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. en
dc.rights.uri http://creativecommons.org/licenses/by/4.0/ en
dc.subject Synchronization en
dc.subject Multilayer network en
dc.subject Chimera state en
dc.subject Neuronal oscillators en
dc.subject Metastability en
dc.subject Community detection en
dc.title Synchronization patterns in modular neuronal networks: a case study of C. elegans en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Philipp Hovel, School of Mathematical Sciences, University College Cork, Cork, Ireland. +353-21-490-3000 Email: philipp.hoevel@ucc.ie en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.rssid 499911153
dc.contributor.funder Deutsche Forschungsgemeinschaft en
dc.contributor.funder Comisión Nacional de Investigación Científica y Tecnológica en
dc.contributor.funder FP7 People: Marie-Curie Actions en
dc.contributor.funder European Commission en
dc.contributor.funder General Secretariat for Research and Technology en
dc.contributor.funder Hellenic Foundation for Research and Innovation en
dc.contributor.funder German Academic Exchange Service (DAAD) en
dc.contributor.funder Université Catholique de Louvain en
dc.contributor.funder Université de Namur en
dc.contributor.funder Université Saint-Louis, Bruxelles en
dc.description.status Peer reviewed en
dc.identifier.journaltitle Frontiers in Applied Mathematics and Statistics en
dc.internal.IRISemailaddress philipp.hoevel@ucc.ie en
dc.identifier.articleid 52 en
dc.identifier.eissn 2297-4687


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©2019 Pournaki, Merfort, Ruiz, Kouvaris, Hövel and Hizanidis. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. Except where otherwise noted, this item's license is described as ©2019 Pournaki, Merfort, Ruiz, Kouvaris, Hövel and Hizanidis. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
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