Dynamics of Populations of Integrate-and-Fire Neurons, Partial Synchronization and Memory
Dynamics of Populations of Integrate-and-Fire Neurons, Partial Synchronization and Memory
复制标题
集成和激发神经元群体的动力学、部分同步和记忆
作者：
M. Usher;H. Schuster;E. Niebur
我们研究了在噪声存在的情况下，难整合与点火神经元的完全连接群体的动力学。基于平均场方法求解主方程，并通过计算机模拟，我们找到了对应于固定点的持续活动状态，并表明对于相同的外部输入值，系统有一个或两个吸引子。群体在外部输入和噪声影响下的动态行为表现出滞后效应，这可能对记忆具有功能作用。在比传输延迟时间和不应期更精细的时间分辨率下，子群的同步活动是时间动力学的特征。群体的全球活动表现出类似于实验发现的场势的非周期振荡。
We study the dynamics of completely connected populations of refractory integrate-and-fire neurons in the presence of noise. Solving the master equation based on a mean-field approach, and by computer simulations, we find sustained states of activity that correspond to fixed points and show that for the same value of external input, the system has one or two attractors. The dynamic behavior of the population under the influence of external input and noise manifests hysteresis effects that might have a functional role for memory. The temporal dynamics at higher temporal resolution, finer than the transmission delay times and the refractory period, are characterized by synchronized activity of subpopulations. The global activity of the population shows aperiodic oscillations analogous to experimentally found field potentials.