Spontaneous activity induced by Gaussian noise in the network-organized FitzHugh-Nagumo model

Qianqian Zheng, Jianwei Shen, Yong Xu

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this paper, we show some dynamical and biological mechanisms of the short-term memory (the fixed point attractor) through the toggle switch in the FitzHugh-Nagumo model (FN). Firstly, we obtain the bistable conditions, show the effect of Gaussian noise on the toggle switch, and explain the short-term memory's switch mechanism by mean first passage time (MFPT). Then, we obtain a Fokker-Planck equation and illustrate the meaning of the monostable and bistable state in the short-term memory. Furthermore, we study the toggle switch under the interaction of network and noise. Meanwhile, we show that network structure and noise play a vital role in the toggle switch based on network mean first passage time (NMFPT). And we illustrate that the modest clustering coefficient and noise are necessary to maintain memories. Finally, the numerical simulation shows that the analytical results agree with it.

Original languageEnglish
Article number6651441
JournalNeural Plasticity
Volume2020
DOIs
StatePublished - 2020

Fingerprint

Dive into the research topics of 'Spontaneous activity induced by Gaussian noise in the network-organized FitzHugh-Nagumo model'. Together they form a unique fingerprint.

Cite this