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Mathematical analysis of multiple spike time series synchronized in phase with collective theta wave using neural cell model
Author(s) -
Noyama Hiroki,
Yoshikai Yuto,
Kotani Kiyoshi,
Jimbo Yasuhiko
Publication year - 2021
Publication title -
electronics and communications in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.131
H-Index - 13
eISSN - 1942-9541
pISSN - 1942-9533
DOI - 10.1002/ecj.12294
Subject(s) - spike (software development) , artificial neural network , neural coding , coupling (piping) , neuroscience , oscillation (cell signaling) , statistical physics , computer science , physics , artificial intelligence , biology , software engineering , mechanical engineering , genetics , engineering
Information processing in the brain is performed by the interactions of numerous number of neurons. However, much remains unknown about complex behaviors of a network composed of numerous number of neurons. Especially, in what case cross frequency coupling emerges and how it alters timings of individual firing are open questions. Therefore, in order to quantitatively evaluate the dynamics of the nervous group, we reproduced phenomena such as cross frequency coupling observed in the brain on a mathematical model and analyzed. The analyses of Fokker‐Planck equation provide the region of gamma/theta oscillations as well as their cross‐frequency couplings. In addition, we demonstrated that the populational oscillation synchronizes sequences of spike trains, which is supposed to be a possible mechanism of memory coding in hippocampus by theta‐gamma neural code.