Effects of distributed transmission speeds on propagating activity in neural populations
Effects of distributed transmission speeds on propagating activity in neural populations
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DOI：
10.1103/physreve.73.021906
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发表时间：
2006-02-01
影响因子：
2.4
通讯作者：
Atay, FM
中科院分区：
文献类型：
--
作者：
Hutt, A;Atay, FM
通过实验证据的动机，将轴突传递速度的分布引入了神经种群的标准场模型中。通过系统研究平衡溶液的稳定性和分叉，对所得的场动力学进行了分析研究。使用扰动方法，确定分布式速度对平衡分叉的影响，以进行一般连通性和速度分布。此外，还对行进前线进行了非线性分析。结果表明，速度分布的方差会影响分叉周期溶液的频率和行进波的相位速度。此外，在引入轴突速度分布导致行进前速最大化的情况下，发现了一种新的效果。
Motivated by experimental evidence, a distribution of axonal transmission speeds is introduced into a standard field model of neural populations. The resulting field dynamics is analytically studied by a systematic investigation of the stability and bifurcations of equilibrium solutions. Using a perturbation approach, the effect of distributed speeds on bifurcations of equilibria are determined for general connectivity and speed distributions. In addition, a nonlinear analysis of traveling fronts is given. It is shown that the variance of the speed distribution affects the frequency of bifurcating periodic solutions and the phase speed of traveling waves. Moreover, a new effect is discovered where the introduction of axonal speed distributions leads to the maximization of the traveling front speed.