Spatially Localized Synchronous Oscillations in Synaptically Coupled Neuronal Networks: Conductance-based Models and Discrete Maps
Spatially Localized Synchronous Oscillations in Synaptically Coupled Neuronal Networks: Conductance-based Models and Discrete Maps
复制标题
突触耦合神经元网络中的空间局部同步振荡：基于电导的模型和离散图
DOI：
--
复制
发表时间：
2010
影响因子：
2.1
通讯作者：
B. Ermentrout
中科院分区：
文献类型：
--
作者：
S. E. Folias;B. Ermentrout
我们研究了两种由时间无关的局部兴奋性输入驱动的空间扩展神经网络模型中由突触抑制组织的局部同步振荡的定性行为。每个网络都被表述为一个基于电导模型的一维网络，构成一个由非局部微分方程组成的高维动力系统。虽然这样的方程很容易产生高度复杂的动态行为，但在强抑制耦合的情况下，网络对局部高斯输入的响应是一个解，在这个解中，单个连续带的细胞以大约周期性的方式发射几乎同步的动作电位。跟踪同步动作电位频带宽度的循环演变揭示了低维离散动力系统的特征行为。基于电导模型的连续统公式，我们启发式地开发和分析了一维和二维模型。
We study the qualitative behavior of localized synchronous oscillations organized by synaptic inhibition in two types of spatially extended neuronal network models driven by a time-independent, localized excitatory input. Each network is formulated as a one-dimensional network of conductance-based models constituting a high-dimensional dynamical system of nonlocal differential equations. Although such equations readily generate highly complex dynamic behavior, in the case of strong inhibitory coupling the response of the network to a localized Gaussian input is a solution in which a single, continuous band of cells fire nearly synchronous action potentials, in an approximately periodic fashion in time. Tracking the cycle-to-cycle evolution of the width of the band of synchronous action potentials reveals the characteristic behavior of low-dimensional, discrete dynamical systems. Based upon a continuum formulation of the conductance-based model, we heuristically develop and analyze one- and two-dimensional...
DOI：
10.1073/pnas.95.3.1259
发表时间：
1998-02-03
影响因子：
11.1
作者：
Ermentrout, GB;Kopell, N
通讯作者：
Kopell, N