ArticleNeural plasticity2020
Spontaneous Activity Induced by Gaussian Noise in the Network-Organized FitzHugh-Nagumo Model.
Article in Neural plasticity, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Hamiltonian energy in a modified Hindmarsh-Rose model.Frontiers in network physiology · 2024Article
- Turing instability mechanism of short-memory formation in multilayer FitzHugh-Nagumo network.Frontiers in psychiatry · 2023Article
- Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model.Frontiers in physiology · 2022Article
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3 authors.
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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.
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