Bifurcations of emergent bursting in a neuronal network.

Complex neuronal networks are an important tool to help explain paradoxical phenomena observed in biological recordings. Here we present a general approach to mathematically tackle a complex neuronal network so that we can fully understand the underlying mechanisms. Using a previously developed netw...

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Autores principales: Yu Wu, Wenlian Lu, Wei Lin, Gareth Leng, Jianfeng Feng
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Publicado: Public Library of Science (PLoS) 2012
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Acceso en línea:https://doaj.org/article/1bbb613bde4848ba87f376878b67d247
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spelling oai:doaj.org-article:1bbb613bde4848ba87f376878b67d2472021-11-18T07:16:05ZBifurcations of emergent bursting in a neuronal network.1932-620310.1371/journal.pone.0038402https://doaj.org/article/1bbb613bde4848ba87f376878b67d2472012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/22685566/?tool=EBIhttps://doaj.org/toc/1932-6203Complex neuronal networks are an important tool to help explain paradoxical phenomena observed in biological recordings. Here we present a general approach to mathematically tackle a complex neuronal network so that we can fully understand the underlying mechanisms. Using a previously developed network model of the milk-ejection reflex in oxytocin cells, we show how we can reduce a complex model with many variables and complex network topologies to a tractable model with two variables, while retaining all key qualitative features of the original model. The approach enables us to uncover how emergent synchronous bursting can arise from a neuronal network which embodies known biological features. Surprisingly, the bursting mechanisms are similar to those found in other systems reported in the literature, and illustrate a generic way to exhibit emergent and multiple time scale oscillations at the membrane potential level and the firing rate level.Yu WuWenlian LuWei LinGareth LengJianfeng FengPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 7, Iss 6, p e38402 (2012)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Yu Wu
Wenlian Lu
Wei Lin
Gareth Leng
Jianfeng Feng
Bifurcations of emergent bursting in a neuronal network.
description Complex neuronal networks are an important tool to help explain paradoxical phenomena observed in biological recordings. Here we present a general approach to mathematically tackle a complex neuronal network so that we can fully understand the underlying mechanisms. Using a previously developed network model of the milk-ejection reflex in oxytocin cells, we show how we can reduce a complex model with many variables and complex network topologies to a tractable model with two variables, while retaining all key qualitative features of the original model. The approach enables us to uncover how emergent synchronous bursting can arise from a neuronal network which embodies known biological features. Surprisingly, the bursting mechanisms are similar to those found in other systems reported in the literature, and illustrate a generic way to exhibit emergent and multiple time scale oscillations at the membrane potential level and the firing rate level.
format article
author Yu Wu
Wenlian Lu
Wei Lin
Gareth Leng
Jianfeng Feng
author_facet Yu Wu
Wenlian Lu
Wei Lin
Gareth Leng
Jianfeng Feng
author_sort Yu Wu
title Bifurcations of emergent bursting in a neuronal network.
title_short Bifurcations of emergent bursting in a neuronal network.
title_full Bifurcations of emergent bursting in a neuronal network.
title_fullStr Bifurcations of emergent bursting in a neuronal network.
title_full_unstemmed Bifurcations of emergent bursting in a neuronal network.
title_sort bifurcations of emergent bursting in a neuronal network.
publisher Public Library of Science (PLoS)
publishDate 2012
url https://doaj.org/article/1bbb613bde4848ba87f376878b67d247
work_keys_str_mv AT yuwu bifurcationsofemergentburstinginaneuronalnetwork
AT wenlianlu bifurcationsofemergentburstinginaneuronalnetwork
AT weilin bifurcationsofemergentburstinginaneuronalnetwork
AT garethleng bifurcationsofemergentburstinginaneuronalnetwork
AT jianfengfeng bifurcationsofemergentburstinginaneuronalnetwork
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