Spontaneous Activity Induced by Gaussian Noise in the Network-Organized FitzHugh-Nagumo Model
Joint Authors
Zheng, Qianqian
Shen, Jianwei
Xu, Yong
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zheng, Qianqian& Shen, Jianwei& Xu, Yong. 2020. Spontaneous Activity Induced by Gaussian Noise in the Network-Organized FitzHugh-Nagumo Model. Neural Plasticity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1202741
Modern Language Association (MLA)
Zheng, Qianqian…[et al.]. Spontaneous Activity Induced by Gaussian Noise in the Network-Organized FitzHugh-Nagumo Model. Neural Plasticity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1202741
American Medical Association (AMA)
Zheng, Qianqian& Shen, Jianwei& Xu, Yong. Spontaneous Activity Induced by Gaussian Noise in the Network-Organized FitzHugh-Nagumo Model. Neural Plasticity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1202741
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202741