Transitions between classes of neuronal excitability and bifurcations induced by autapse

Abstract Neuronal excitabilities behave as the basic and important dynamics related to the transitions between firing and resting states, and are characterized by distinct bifurcation types and spiking frequency responses. Switches between class I and II excitabilities induced by modulations outside...

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Autores principales:	Zhiguo Zhao, Huaguang Gu
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/71857a9a4651430981241649a9d146a2
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spelling	oai:doaj.org-article:71857a9a4651430981241649a9d146a22021-12-02T12:32:15ZTransitions between classes of neuronal excitability and bifurcations induced by autapse10.1038/s41598-017-07051-92045-2322https://doaj.org/article/71857a9a4651430981241649a9d146a22017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07051-9https://doaj.org/toc/2045-2322Abstract Neuronal excitabilities behave as the basic and important dynamics related to the transitions between firing and resting states, and are characterized by distinct bifurcation types and spiking frequency responses. Switches between class I and II excitabilities induced by modulations outside the neuron (for example, modulation to M-type potassium current) have been one of the most concerning issues in both electrophysiology and nonlinear dynamics. In the present paper, we identified switches between 2 classes of excitability and firing frequency responses when an autapse, which widely exists in real nervous systems and plays important roles via self-feedback, is introduced into the Morris-Lecar (ML) model neuron. The transition from class I to class II excitability and from class II to class I spiking frequency responses were respectively induced by the inhibitory and excitatory autapse, which are characterized by changes of bifurcations, frequency responses, steady-state current-potential curves, and nullclines. Furthermore, we identified codimension-1 and -2 bifurcations and the characteristics of the current-potential curve that determine the transitions. Our results presented a comprehensive relationship between 2 classes of neuronal excitability/spiking characterized by different types of bifurcations, along with a novel possible function of autapse or self-feedback control on modulating neuronal excitability.Zhiguo ZhaoHuaguang GuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-15 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Zhiguo Zhao Huaguang Gu Transitions between classes of neuronal excitability and bifurcations induced by autapse
description	Abstract Neuronal excitabilities behave as the basic and important dynamics related to the transitions between firing and resting states, and are characterized by distinct bifurcation types and spiking frequency responses. Switches between class I and II excitabilities induced by modulations outside the neuron (for example, modulation to M-type potassium current) have been one of the most concerning issues in both electrophysiology and nonlinear dynamics. In the present paper, we identified switches between 2 classes of excitability and firing frequency responses when an autapse, which widely exists in real nervous systems and plays important roles via self-feedback, is introduced into the Morris-Lecar (ML) model neuron. The transition from class I to class II excitability and from class II to class I spiking frequency responses were respectively induced by the inhibitory and excitatory autapse, which are characterized by changes of bifurcations, frequency responses, steady-state current-potential curves, and nullclines. Furthermore, we identified codimension-1 and -2 bifurcations and the characteristics of the current-potential curve that determine the transitions. Our results presented a comprehensive relationship between 2 classes of neuronal excitability/spiking characterized by different types of bifurcations, along with a novel possible function of autapse or self-feedback control on modulating neuronal excitability.
format	article
author	Zhiguo Zhao Huaguang Gu
author_facet	Zhiguo Zhao Huaguang Gu
author_sort	Zhiguo Zhao
title	Transitions between classes of neuronal excitability and bifurcations induced by autapse
title_short	Transitions between classes of neuronal excitability and bifurcations induced by autapse
title_full	Transitions between classes of neuronal excitability and bifurcations induced by autapse
title_fullStr	Transitions between classes of neuronal excitability and bifurcations induced by autapse
title_full_unstemmed	Transitions between classes of neuronal excitability and bifurcations induced by autapse
title_sort	transitions between classes of neuronal excitability and bifurcations induced by autapse
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/71857a9a4651430981241649a9d146a2
work_keys_str_mv	AT zhiguozhao transitionsbetweenclassesofneuronalexcitabilityandbifurcationsinducedbyautapse AT huaguanggu transitionsbetweenclassesofneuronalexcitabilityandbifurcationsinducedbyautapse
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Transitions between classes of neuronal excitability and bifurcations induced by autapse

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