Brunel N
LPS, Ecole Normale Supérieure, Paris, France.
J Comput Neurosci. 2000 May-Jun;8(3):183-208. doi: 10.1023/a:1008925309027.
The dynamics of networks of sparsely connected excitatory and inhibitory integrate-and-fire neurons are studied analytically. The analysis reveals a rich repertoire of states, including synchronous states in which neurons fire regularly; asynchronous states with stationary global activity and very irregular individual cell activity; and states in which the global activity oscillates but individual cells fire irregularly, typically at rates lower than the global oscillation frequency. The network can switch between these states, provided the external frequency, or the balance between excitation and inhibition, is varied. Two types of network oscillations are observed. In the fast oscillatory state, the network frequency is almost fully controlled by the synaptic time scale. In the slow oscillatory state, the network frequency depends mostly on the membrane time constant. Finite size effects in the asynchronous state are also discussed.
对稀疏连接的兴奋性和抑制性积分发放神经元网络的动力学进行了分析研究。分析揭示了丰富的状态集，包括神经元有规律发放的同步状态；具有稳定全局活动和非常不规则单个细胞活动的异步状态；以及全局活动振荡但单个细胞发放不规则，且发放频率通常低于全局振荡频率的状态。只要改变外部频率或兴奋与抑制之间的平衡，网络就能在这些状态之间切换。观察到两种类型的网络振荡。在快速振荡状态下，网络频率几乎完全由突触时间尺度控制。在缓慢振荡状态下，网络频率主要取决于膜时间常数。还讨论了异步状态下的有限尺寸效应。
