Reduction of a coupled neuronal population with higher-order harmonics for depolarization using cumulant expansion
Reduction of a coupled neuronal population with higher-order harmonics for depolarization using cumulant expansion
カテゴリ: 部門大会
論文No: PS2-2
グループ名: 【C】2021年電気学会電子・情報・システム部門大会
発行日: 2021/09/08
タイトル(英語): Reduction of a coupled neuronal population with higher-order harmonics for depolarization using cumulant expansion
著者名: Zheng Tianyi(東京大学),Noyama Hiroki(東京大学),Yoshikai Yuto(東京大学),Kotani Kiyoshi(東京大学),Jimbo Yasuhiko(東京大学)
著者名(英語): Tianyi Zheng (University of Tokyo),Hiroki Noyama (University of Tokyo),Yuto Yoshikai (University of Tokyo),Kiyoshi Kotani (University of Tokyo),Yasuhiko Jimbo (University of Tokyo)
キーワード: Neural oscillation|Synchronization|Dimension reduction|higher-order harmonics
要約(日本語): The macroscopic oscillation in local field potential due to the interaction of coupled neurons is widely measured in experiments. The emerge and disappearance of such oscillation is a central question in computational neuroscience. This paper analyzes a randomly coupled neuronal population, where every single neuron is described by modified theta model with higher-order harmonics for depolarization. We extent the usage of a novel method called “cumulant expansion” to derive the low-dimensional manifold of a coupled neuronal population. Further, we use numerical simulation of a large number of neurons to validate the low-dimensional manifold derived. Finally, we analyze the effect of higher-order harmonics on entraining the macroscopic oscillation in the neuronal population.
PDFファイルサイズ: 223 Kバイト
受取状況を読み込めませんでした
