论文标题
峰值神经网络中时空模式传播的分析研究
Analytic Investigation for Spatio-temporal Patterns Propagation in Spiking Neural Networks
论文作者
论文摘要
基于力矩闭合方法，构建了高斯随机场，以定量和分析表征随机点场的动力学。该方法为我们提供了一种理论工具，可以研究进食或复发性尖峰神经网络中同步的尖峰传播。我们表明，激发和抑制突触后电位之间的平衡是Synfire链的发生所必需的。特别是，使用平衡的网络，观察到临界的入侵和歼灭大小。我们还得出了在异步环境中同步传播的足够的分析条件，这进一步使我们能够披露空间突触结构的可能性，以维持稳定的Synfire链。我们的发现与模拟非常吻合，并有助于我们了解随机点的时空模式的传播。
Based upon the moment closure approach, a Gaussian random field is constructed to quantitatively and analytically characterize the dynamics of a random point field. The approach provides us with a theoretical tool to investigate synchronized spike propagation in a feedforward or recurrent spiking neural network. We show that the balance between the excitation and inhibition postsynaptic potentials is required for the occurrence of synfire chains. In particular, with a balanced network, the critical packet size of invasion and annihilation is observed. We also derive a sufficient analytic condition for the synchronization propagation in an asynchronous environment, which further allows us to disclose the possibility of spatial synaptic structure to sustain a stable synfire chain. Our findings are in good agreement with simulations and help us understand the propagation of spatio-temporal patterns in a random point flied.
