Masuda N, Aihara K
Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, the University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Nov;64(5 Pt 1):051906. doi: 10.1103/PhysRevE.64.051906. Epub 2001 Oct 22.
Collective behavior of pulse-coupled oscillatory neurons has been investigated widely. In many cases, however, real neurons are intrinsically not oscillatory but excitable. The networks of excitable neurons can have their own characteristic dynamics, and they are of interest also from the viewpoint of functional assemblies. In the present paper, the collective behavior of pulse-coupled excitable neurons has been investigated using phase description. It is shown that full synchronization is achieved in networks of excitable leaky integrate-and-fire neurons and discrete-time Nagumo-Sato neurons. The cooperative roles of external spike inputs, decay of internal states, and feedback spikes are explained. Enhancement of synchronization by refractoriness and noise is also reported.
脉冲耦合振荡神经元的集体行为已得到广泛研究。然而，在许多情况下，真实的神经元本质上并非振荡性的，而是可兴奋的。可兴奋神经元网络具有其自身独特的动力学特性，并且从功能组件的角度来看也备受关注。在本文中，利用相位描述研究了脉冲耦合可兴奋神经元的集体行为。结果表明，在可兴奋的漏电积分发放神经元和离散时间的Nagumo-Sato神经元网络中可实现完全同步。解释了外部脉冲输入、内部状态衰减和反馈脉冲的协同作用。还报道了不应期和噪声对同步的增强作用。
