Generalization of coupled spiking models and effects of the width of an action potential on synchronization phenomena

Yasuomi Daishin Sato, Masatoshi Shiino

研究成果: Article査読

22 被引用数 (Scopus)

抄録

The integrate-and-fire (IF) neuron model and the piecewise-linear version of FitzHugh-Nagumo (PL) neuron model with a time scale parameter μ are frequently being used in the study of synchronization phenomena. Although the two models are regarded to be different type, we show a certain equivalence between them by deriving the coupled IF model of an improved version with a firing duration from the recovery variable coupled system of the PL model, under taking the limit of μ→0 without a loss of any coupling properties. In the coupled IF model with the duration time, the synchronization behavior of a pair of neurons with excitatory or inhibitory synaptic coupling can be systematically explored in terms of three parameters in the model (synaptic strength, decaying relaxation rate of the synaptic coupling, and the parameter exhibiting the firing duration). We find some irregularly synchronous behavior with or without constant firing order alternations. We show that the duration of an impulse plays an important role in synchronization phenomena.

本文言語English
論文番号011909
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
75
1
DOI
出版ステータスPublished - 2007 1 26

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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