Emergence of global synchronization in directed excitatory networks of type I neurons

Abstract The collective behaviour of neural networks depends on the cellular and synaptic properties of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure of cellular properties that quantifies the shift in the next spike time of a neuron as a function of the phase a...

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Autores principales: Abolfazl Ziaeemehr, Mina Zarei, Aida Sheshbolouki
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Publicado: Nature Portfolio 2020
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Acceso en línea:https://doaj.org/article/0a908ac452a24c3e92a7a721ea20d1a8
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spelling oai:doaj.org-article:0a908ac452a24c3e92a7a721ea20d1a82021-12-02T14:28:21ZEmergence of global synchronization in directed excitatory networks of type I neurons10.1038/s41598-020-60205-02045-2322https://doaj.org/article/0a908ac452a24c3e92a7a721ea20d1a82020-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-60205-0https://doaj.org/toc/2045-2322Abstract The collective behaviour of neural networks depends on the cellular and synaptic properties of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure of cellular properties that quantifies the shift in the next spike time of a neuron as a function of the phase at which stimulus is delivered to that neuron. The neuronal PRCs can be classified as having either purely positive values (type I) or distinct positive and negative regions (type II). Networks of type 1 PRCs tend not to synchronize via mutual excitatory synaptic connections. We study the synchronization properties of identical type I and type II neurons, assuming unidirectional synapses. Performing the linear stability analysis and the numerical simulation of the extended Kuramoto model, we show that feedforward loop motifs favour synchronization of type I excitatory and inhibitory neurons, while feedback loop motifs destroy their synchronization tendency. Moreover, large directed networks, either without feedback motifs or with many of them, have been constructed from the same undirected backbones, and a high synchronization level is observed for directed acyclic graphs with type I neurons. It has been shown that, the synchronizability of type I neurons depends on both the directionality of the network connectivity and the topology of its undirected backbone. The abundance of feedforward motifs enhances the synchronizability of the directed acyclic graphs.Abolfazl ZiaeemehrMina ZareiAida SheshboloukiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-11 (2020)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Abolfazl Ziaeemehr
Mina Zarei
Aida Sheshbolouki
Emergence of global synchronization in directed excitatory networks of type I neurons
description Abstract The collective behaviour of neural networks depends on the cellular and synaptic properties of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure of cellular properties that quantifies the shift in the next spike time of a neuron as a function of the phase at which stimulus is delivered to that neuron. The neuronal PRCs can be classified as having either purely positive values (type I) or distinct positive and negative regions (type II). Networks of type 1 PRCs tend not to synchronize via mutual excitatory synaptic connections. We study the synchronization properties of identical type I and type II neurons, assuming unidirectional synapses. Performing the linear stability analysis and the numerical simulation of the extended Kuramoto model, we show that feedforward loop motifs favour synchronization of type I excitatory and inhibitory neurons, while feedback loop motifs destroy their synchronization tendency. Moreover, large directed networks, either without feedback motifs or with many of them, have been constructed from the same undirected backbones, and a high synchronization level is observed for directed acyclic graphs with type I neurons. It has been shown that, the synchronizability of type I neurons depends on both the directionality of the network connectivity and the topology of its undirected backbone. The abundance of feedforward motifs enhances the synchronizability of the directed acyclic graphs.
format article
author Abolfazl Ziaeemehr
Mina Zarei
Aida Sheshbolouki
author_facet Abolfazl Ziaeemehr
Mina Zarei
Aida Sheshbolouki
author_sort Abolfazl Ziaeemehr
title Emergence of global synchronization in directed excitatory networks of type I neurons
title_short Emergence of global synchronization in directed excitatory networks of type I neurons
title_full Emergence of global synchronization in directed excitatory networks of type I neurons
title_fullStr Emergence of global synchronization in directed excitatory networks of type I neurons
title_full_unstemmed Emergence of global synchronization in directed excitatory networks of type I neurons
title_sort emergence of global synchronization in directed excitatory networks of type i neurons
publisher Nature Portfolio
publishDate 2020
url https://doaj.org/article/0a908ac452a24c3e92a7a721ea20d1a8
work_keys_str_mv AT abolfazlziaeemehr emergenceofglobalsynchronizationindirectedexcitatorynetworksoftypeineurons
AT minazarei emergenceofglobalsynchronizationindirectedexcitatorynetworksoftypeineurons
AT aidasheshbolouki emergenceofglobalsynchronizationindirectedexcitatorynetworksoftypeineurons
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