Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks

Abstract The investigation of self-sustained oscillations in excitable complex networks is very important in understanding various activities in brain systems, among which the exploration of the key determinants of oscillations is a challenging task. In this paper, by investigating the influence of...

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Autores principales:	Yu Qian, Xiaohua Cui, Zhigang Zheng
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/361d7667f91d4ef2b22029b8d50ace71
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spelling	oai:doaj.org-article:361d7667f91d4ef2b22029b8d50ace712021-12-02T12:32:47ZMinimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks10.1038/s41598-017-06066-62045-2322https://doaj.org/article/361d7667f91d4ef2b22029b8d50ace712017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-06066-6https://doaj.org/toc/2045-2322Abstract The investigation of self-sustained oscillations in excitable complex networks is very important in understanding various activities in brain systems, among which the exploration of the key determinants of oscillations is a challenging task. In this paper, by investigating the influence of system parameters on self-sustained oscillations in excitable Erdös-Rényi random networks (EERRNs), the minimum Winfree loop (MWL) is revealed to be the key factor in determining the emergence of collective oscillations. Specifically, the one-to-one correspondence between the optimal connection probability (OCP) and the MWL length is exposed. Moreover, many important quantities such as the lower critical connection probability (LCCP), the OCP, and the upper critical connection probability (UCCP) are determined by the MWL. Most importantly, they can be approximately predicted by the network structure analysis, which have been verified in numerical simulations. Our results will be of great importance to help us in understanding the key factors in determining persistent activities in biological systems.Yu QianXiaohua CuiZhigang ZhengNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-12 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yu Qian Xiaohua Cui Zhigang Zheng Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks
description	Abstract The investigation of self-sustained oscillations in excitable complex networks is very important in understanding various activities in brain systems, among which the exploration of the key determinants of oscillations is a challenging task. In this paper, by investigating the influence of system parameters on self-sustained oscillations in excitable Erdös-Rényi random networks (EERRNs), the minimum Winfree loop (MWL) is revealed to be the key factor in determining the emergence of collective oscillations. Specifically, the one-to-one correspondence between the optimal connection probability (OCP) and the MWL length is exposed. Moreover, many important quantities such as the lower critical connection probability (LCCP), the OCP, and the upper critical connection probability (UCCP) are determined by the MWL. Most importantly, they can be approximately predicted by the network structure analysis, which have been verified in numerical simulations. Our results will be of great importance to help us in understanding the key factors in determining persistent activities in biological systems.
format	article
author	Yu Qian Xiaohua Cui Zhigang Zheng
author_facet	Yu Qian Xiaohua Cui Zhigang Zheng
author_sort	Yu Qian
title	Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks
title_short	Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks
title_full	Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks
title_fullStr	Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks
title_full_unstemmed	Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks
title_sort	minimum winfree loop determines self-sustained oscillations in excitable erdös-rényi random networks
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/361d7667f91d4ef2b22029b8d50ace71
work_keys_str_mv	AT yuqian minimumwinfreeloopdeterminesselfsustainedoscillationsinexcitableerdosrenyirandomnetworks AT xiaohuacui minimumwinfreeloopdeterminesselfsustainedoscillationsinexcitableerdosrenyirandomnetworks AT zhigangzheng minimumwinfreeloopdeterminesselfsustainedoscillationsinexcitableerdosrenyirandomnetworks
_version_	1718393970434768896

Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks

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