TY - JOUR
T1 - Spontaneous activity induced by Gaussian noise in the network-organized FitzHugh-Nagumo model
AU - Zheng, Qianqian
AU - Shen, Jianwei
AU - Xu, Yong
N1 - Publisher Copyright:
© 2020 Qianqian Zheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85097581911&partnerID=8YFLogxK
U2 - 10.1155/2020/6651441
DO - 10.1155/2020/6651441
M3 - 文章
C2 - 33299394
AN - SCOPUS:85097581911
SN - 2090-5904
VL - 2020
JO - Neural Plasticity
JF - Neural Plasticity
M1 - 6651441
ER -