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arXiv 1811.03335q-bio.NCcond-mat.dis-nnnlin.AOnlin.PSphysics.bio-ph
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在模型神经元培养中的空间分辨网络尖峰揭示了成核中心、圆形行波和漂移螺旋波

A spatially resolved network spike in model neuronal cultures reveals nucleation centers, circular traveling waves and drifting spiral waves

A. V. Paraskevov, D. K. Zendrikov

摘要:

我们表明,在模型神经元文化,其中神经元间的连接形成的概率呈指数下降,随着神经元之间的距离增加,存在少量的空间成核中心的网络尖峰,从同步尖峰活动开始传播的网络中通常在圆形行波的形式。成核中心的数目和它们的空间位置对于给定的神经元网络的实现是唯一的和不变的,但是对于不同的网络是不同的。相反,如果神经元间连接形成的概率与神经元之间的距离无关,则成核中心不会出现,并且在网络尖峰期间尖峰活动的同步在整个网络中在空间上均匀地发生。因此,可以得出结论,神经元之间的连接的空间接近对于成核中心的形成是重要的。它还表明,在其随机均匀分布的实验$\textit{in vitro}$典型的神经元的空间密度的波动不确定的成核中心的位置。模拟结果与实验结果定性一致。

英文摘要:

We show that in model neuronal cultures, where the probability of interneuronal connection formation decreases exponentially with increasing distance between the neurons, there exists a small number of spatial nucleation centers of a network spike, from where the synchronous spiking activity starts propagating in the network typically in the form of circular traveling waves. The number of nucleation centers and their spatial locations are unique and unchanged for a given realization of neuronal network but are different for different networks. In contrast, if the probability of interneuronal connection formation is independent of the distance between neurons, then the nucleation centers do not arise and the synchronization of spiking activity during a network spike occurs spatially uniform throughout the network. Therefore one can conclude that spatial proximity of connections between neurons is important for the formation of nucleation centers. It is also shown that fluctuations of the spatial density of neurons at their random homogeneous distribution typical for the experiments $\textit{in vitro}$ do not determine the locations of the nucleation centers. The simulation results are qualitatively consistent with the experimental observations.

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