Mathematical Analysis of Multiple Spike Time Series Synchronized in Phase with Collective Theta Wave Using Neural Cell Model
Hiroki Noyama, Yuto Yoshikai, Kiyoshi Kotani, Yasuhiko Jimbo · IEEJ Transactions on Electronics Information and Systems · 2020
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 provides 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.