Delay-coupled population dynamics of modified theta neuron with quenched variability

カテゴリ: 部門大会

論文No: SS1-2

グループ名: 【C】平成29年電気学会電子・情報・システム部門大会講演論文集

発行日: 2017/09/06

タイトル(英語): Delay-coupled population dynamics of modified theta neuron with quenched variability

著者名: 赤尾 旭彦(東京大学),小林 由弥(東京大学),白坂 将(東京大学),小谷 潔(東京大学/科学技術振興機構さきがけ),神保 泰彦(東京大学)

著者名(英語): Akihiko Akao|Yuya Kobayashi|Sho Shirasaka|Kiyoshi Kotani|Yasuhiko Jimbo

キーワード: 遅延微分方程式|遅延微分方程式遅延微分方程式|modified theta neuron|Ott-Antonsen ansatz|Delay differential equation

要約(日本語): Collective rhythm which emerges from neuronal population are widely observed in brain activities. Multi-regional interactions such as thalamocortical loop causes conduction delay between neuronal populations and the functionalities of such delay on brain rhythm have been experimentally suggested. However, mathematical analysis of such system was restricted due to its infinite dimensionality. Here, we analyze the dynamics of delay-coupled population of modified theta neuron. We apply a dimension-reduction technique called Ott-Antonsen ansatz for neurons with quenched variability and derive mean field dynamics as a set of delay differential equations. We analyze the emergence of collective rhythm and synchronization properties (e.g. phase response function) in the mean field model.

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