Phase description of the Huber-Braun neuron model for mammalian cold receptors

Phase description of the Huber-Braun neuron model for mammalian cold receptors
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哺乳动物冷受体 Huber-Braun 神经元模型的阶段描述

DOI:
10.1140/epjst/e2013-02047-2
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发表时间:
2013
期刊:
The European Physical Journal Special Topics
影响因子:
--
通讯作者:
Feudel U
Feudel U
中科院分区:
--
文献类型:
--
作者:
Freund JA;Finke C;Braun HA;Feudel U

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哺乳动物冷受体的放电活动符合Huber-Braun神经元模型。扫描温度作为生物相关范围内的控制参数,该模型在尖峰间隔序列中显示出复杂的分叉结构。该模型的显著特点是快速的尖峰产生动力学和缓慢的亚阈值振荡之间的相互作用。将尖峰的产生视为一个周期,动力学也可以由两个阶段现象学建模,一个用于尖峰周期,第二个用于慢速亚阈值振荡。事实上,Roper等人(2000)已经提出了依赖温度的哺乳动物冷受体的时相模型。在这里,我们遵循他们的方法,并调查该模型在多大程度上能够再现Huber-Braun模型的分叉模式。特别注意了在低温范围内观察到的从激发到爆发的转变。
The spiking activity of mammalian cold receptors is described by the Huber-Braun neuron model. Sweeping temperature as a control parameter across a biologically relevant range this model exhibits a complex bifurcation structure seen in the sequence of interspike intervals. The model’s distinctive feature is the interaction between a fast spike generating dynamics and a slow subthreshold oscillation. Viewing the spike generation as a cycle, the dynamics may also be modeled phenomenologically by two phases, one for the spike cycle and the second for the slow subthreshold oscillation. In fact, a phase model of temperature-dependent mammalian cold receptors was already proposed by Roper et al. (2000). Here we follow their approach and investigate to what extent this model is able to reproduce the bifurcation patterns of the Huber-Braun model. Special attention is paid to the tonic firing to bursting transition observed in the low temperature range.
噪声激活动力学导致 Huber-Braun 神经元模型中的爆发
DOI: 10.1140/epjst/e2010-01284-1
发表时间: 2010
期刊: The European Physical Journal Special Topics
影响因子: --
作者:
C. Finke;S. Postnova;E. Rosa;J. Freund;M. Huber;K. Voigt;F. Moss;H. Braun;U. Feudel
通讯作者: U. Feudel
温度依赖性哺乳动物冷感受器的相模型
DOI: 10.1162/089976600300015510
发表时间: 2000
期刊: Neural Computation
影响因子: 2.9
作者:
P. Roper;P. Bressloff;A. Longtin
通讯作者: A. Longtin
DOI: 10.1103/physreve.62.6352
发表时间: 2000-11-01
期刊: PHYSICAL REVIEW E
影响因子: 2.4
作者:
Braun, W;Eckhardt, B;Huber, M
通讯作者: Huber, M
DOI: 10.1007/bf00584180
发表时间: 1980-01-01
影响因子: 4.5
作者:
BRAUN, HA;BADE, H;HENSEL, H
通讯作者: HENSEL, H