Dynamics and bifurcations in multistable 3-cell neural networks.

Dynamics and bifurcations in multistable 3-cell neural networks.
复制标题

多稳态 3 细胞神经网络中的动力学和分叉。

DOI:
10.1063/5.0011374
复制
发表时间:
2020
期刊:
影响因子:
2.9
通讯作者:
A. Shilnikov
A. Shilnikov
中科院分区:
数学2区
文献类型:
--
作者:
J. Collens;K. Pusuluri;A. Kelley;D. Knapper;T. Xing;S. Basodi;D. Alaçam;A. Shilnikov

文献摘要

参考文献

被引文献

相似文献

我们公开了由振荡神经元的简化、低维模型组成的振荡抑制3-细胞回路中的多稳定性的内在机制的一般性,与详细的Hodgkin-Huxley类型的内在机制相反[Wojcik等人,PLoS One 9,e92918(2014)]。神经元之间相位滞后的返回映射的计算简化揭示了这种回路中丰富的多样性节律模式。我们进行了详细的分叉分析,以显示如何这样的节奏可以出现,消失,并获得或失去稳定性,作为单个细胞和突触的参数变化。
We disclose the generality of the intrinsic mechanisms underlying multistability in reciprocally inhibitory 3-cell circuits composed of simplified, low-dimensional models of oscillatory neurons, as opposed to those of a detailed Hodgkin-Huxley type [Wojcik et al., PLoS One 9, e92918 (2014)]. The computational reduction to return maps for the phase-lags between neurons reveals a rich multiplicity of rhythmic patterns in such circuits. We perform a detailed bifurcation analysis to show how such rhythms can emerge, disappear, and gain or lose stability, as the parameters of the individual cells and the synapses are varied.
DOI: 10.1007/bf00962719
发表时间: 1994-06-01
影响因子: 1.2
作者:
Skinner, F K;Kopell, N;Marder, E
通讯作者: Marder, E
DOI: 10.1371/journal.pone.0092918
发表时间: 2014
期刊: PloS one
影响因子: 3.7
作者:
Wojcik J;Schwabedal J;Clewley R;Shilnikov AL
通讯作者: Shilnikov AL
DOI: 10.1152/jn.1994.72.2.872
发表时间: 1994-08-01
影响因子: 2.5
作者:
CANAVIER, CC;BAXTER, DA;BYRNE, JH
通讯作者: BYRNE, JH
DOI: 10.1152/jn.00641.2003
发表时间: 2003-12-01
影响因子: 2.5
作者:
Prinz, AA;Billimoria, CP;Marder, E
通讯作者: Marder, E