Emergent stochastic oscillations and signal detection in tree networks of excitable elements

Abstract We study the stochastic dynamics of strongly-coupled excitable elements on a tree network. The peripheral nodes receive independent random inputs which may induce large spiking events propagating through the branches of the tree and leading to global coherent oscillations in the network. Th...

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Autores principales:	Justus Kromer, Ali Khaledi-Nasab, Lutz Schimansky-Geier, Alexander B. Neiman
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/53dfcf7d625e479bb6f293cab67b35b6
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spelling	oai:doaj.org-article:53dfcf7d625e479bb6f293cab67b35b62021-12-02T15:05:50ZEmergent stochastic oscillations and signal detection in tree networks of excitable elements10.1038/s41598-017-04193-82045-2322https://doaj.org/article/53dfcf7d625e479bb6f293cab67b35b62017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04193-8https://doaj.org/toc/2045-2322Abstract We study the stochastic dynamics of strongly-coupled excitable elements on a tree network. The peripheral nodes receive independent random inputs which may induce large spiking events propagating through the branches of the tree and leading to global coherent oscillations in the network. This scenario may be relevant to action potential generation in certain sensory neurons, which possess myelinated distal dendritic tree-like arbors with excitable nodes of Ranvier at peripheral and branching nodes and exhibit noisy periodic sequences of action potentials. We focus on the spiking statistics of the central node, which fires in response to a noisy input at peripheral nodes. We show that, in the strong coupling regime, relevant to myelinated dendritic trees, the spike train statistics can be predicted from an isolated excitable element with rescaled parameters according to the network topology. Furthermore, we show that by varying the network topology the spike train statistics of the central node can be tuned to have a certain firing rate and variability, or to allow for an optimal discrimination of inputs applied at the peripheral nodes.Justus KromerAli Khaledi-NasabLutz Schimansky-GeierAlexander B. NeimanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-13 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Justus Kromer Ali Khaledi-Nasab Lutz Schimansky-Geier Alexander B. Neiman Emergent stochastic oscillations and signal detection in tree networks of excitable elements
description	Abstract We study the stochastic dynamics of strongly-coupled excitable elements on a tree network. The peripheral nodes receive independent random inputs which may induce large spiking events propagating through the branches of the tree and leading to global coherent oscillations in the network. This scenario may be relevant to action potential generation in certain sensory neurons, which possess myelinated distal dendritic tree-like arbors with excitable nodes of Ranvier at peripheral and branching nodes and exhibit noisy periodic sequences of action potentials. We focus on the spiking statistics of the central node, which fires in response to a noisy input at peripheral nodes. We show that, in the strong coupling regime, relevant to myelinated dendritic trees, the spike train statistics can be predicted from an isolated excitable element with rescaled parameters according to the network topology. Furthermore, we show that by varying the network topology the spike train statistics of the central node can be tuned to have a certain firing rate and variability, or to allow for an optimal discrimination of inputs applied at the peripheral nodes.
format	article
author	Justus Kromer Ali Khaledi-Nasab Lutz Schimansky-Geier Alexander B. Neiman
author_facet	Justus Kromer Ali Khaledi-Nasab Lutz Schimansky-Geier Alexander B. Neiman
author_sort	Justus Kromer
title	Emergent stochastic oscillations and signal detection in tree networks of excitable elements
title_short	Emergent stochastic oscillations and signal detection in tree networks of excitable elements
title_full	Emergent stochastic oscillations and signal detection in tree networks of excitable elements
title_fullStr	Emergent stochastic oscillations and signal detection in tree networks of excitable elements
title_full_unstemmed	Emergent stochastic oscillations and signal detection in tree networks of excitable elements
title_sort	emergent stochastic oscillations and signal detection in tree networks of excitable elements
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/53dfcf7d625e479bb6f293cab67b35b6
work_keys_str_mv	AT justuskromer emergentstochasticoscillationsandsignaldetectionintreenetworksofexcitableelements AT alikhaledinasab emergentstochasticoscillationsandsignaldetectionintreenetworksofexcitableelements AT lutzschimanskygeier emergentstochasticoscillationsandsignaldetectionintreenetworksofexcitableelements AT alexanderbneiman emergentstochasticoscillationsandsignaldetectionintreenetworksofexcitableelements
_version_	1718388704384385024

Emergent stochastic oscillations and signal detection in tree networks of excitable elements

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