Numerical Analysis of FitzHugh-Nagumo Neurons on Random Networks

Oyama, Yoshihito; Yanagita, Tatsuo; Ichinomiya, Takashi

Progress of Theoretical Physics Supplement, 2006, 161, 389-392

Permalink : https://hdl.handle.net/2115/11388

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アクセス権	open access
URI	https://hdl.handle.net/2115/11388
タイトル	Numerical Analysis of FitzHugh-Nagumo Neurons on Random Networks
著者	Oyama, Yoshihito ; Yanagita, Tatsuo ; Ichinomiya, Takashi
著者名 Oyama, Yoshihito
e-Rad_Researcher 80242262 著者名 Yanagita, Tatsuo
著者名 Ichinomiya, Takashi
言語	英語
発行日	2006
出版者	Progress of Theoretical Physics
出版者	理論物理学刊行会
収録物名	Progress of Theoretical Physics Supplement
巻(号)	161
ページ	389-392
抄録	We investigate a model of randomly copuled neurons. The elements are FitzHgh-Nagumo excitable neurons. The interactions between them are the mixture of excitatory and inhibitory. When all interactions are excitatory, a rest state is globally stable due to the excitability of neurons. Increasing the number of inhibitory connections, we observe the phase transition from the rest state to an oscillatory state. An analytical description for the critical point of the transition is obtained by means of random matrix theories for an infinite number of neurons, and the result is in good agreement with numerical simulation.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 2006 Progress of Theoretical Physics
PISSN	0375-9687
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1143/PTPS.161.389