Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay
Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay
复制标题
DOI：
10.1016/j.chaos.2005.10.091
复制
发表时间：
2007-04-01
影响因子：
7.8
通讯作者：
Atay, Fatihcan M.
中科院分区：
文献类型：
--
作者：
Hutt, Axel;Atay, Fatihcan M.
使用空间扩展的神经元集合的全差异模型研究了神经活动的时空动力学。该模型包括突触和轴突传播延迟，而空间突触连接性则由伽马分布表示。已经通过实验观察到了这个连通性内核家族，并涵盖了不同，有限和可以忽略的自我连接的病例。我们为伽马分布的核提供了固定和非平稳的不稳定性的条件，可以根据平均空间相互作用范围和平均空间相互作用时间进行配制。我们提出了用于图灵模式和行进波的新型机制，这是由于伽马分布的相互作用的特殊形状所致。我们对局部刺激较短引起的诱发时空反应活性的传播进行了数值研究，并在平均相互作用时间后揭示了最大的响应活性。该最大发生在距刺激偏移位置的距离处，该位置等于平均相互作用范围。 （c）2005 Elsevier Ltd.保留所有权利。
The spatiotemporal dynamics of neural activity are studied using an integro-differential model of spatially extended neuronal ensembles. The model includes both synaptic and axonal propagation delay while spatial synaptic connectivities are represented by gamma distributions. This family of connectivity kernels has been observed experimentally and covers the cases of divergent, finite, and negligible self-connections. We give conditions for stationary and non-stationary instabilities for gamma-distributed kernels, which can be formulated in terms of the mean spatial interaction ranges and the mean spatial interaction times. We present novel mechanisms for Turing patterns and traveling waves, which result from the special shape of the gamma-distributed interactions. We give a numerical study of the propagation of evoked spatiotemporal response activity caused by short local stimuli, and reveal maximum response activity after the mean interaction time. This maximum occurs at a distance from stimulus offset location, which is equal to the mean interaction range. (c) 2005 Elsevier Ltd. All rights reserved.