Multispikes and synchronization in a large neural network with temporal delays
Multispikes and synchronization in a large neural network with temporal delays
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DOI：
10.1162/089976600300015277
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发表时间：
2000-07-01
影响因子：
2.9
通讯作者：
Kopell, N
中科院分区：
文献类型：
--
作者：
Karbowski, J;Kopell, N
伽马频率范围内的连贯节律在神经系统中普遍存在，被认为在各种认知活动中都很重要。众所周知，这种节律能够在具有显著传导延迟的距离上以毫秒级的精度同步；在细胞在一段时间内接收许多输入的设置中，这是如何操作的，这是神秘的。在这里，我们分析了以前提出的一种机制，即海马区CA1区的同步化依赖于中间神经元激发的“二联体”。利用排列在可能无序晶格中的局部电路网络，我们确定了抑制中间神经元每周期发出单峰、双峰或三峰的同步解存在和稳定的参数的条件。我们证明了当中间神经元激发单重态时，同步解才是边缘稳定的。如果他们发射二元组，则同步状态在比他们发射三元组的参数空间更大的子集内渐近稳定。一个意想不到的发现是，晶格结构中的少量无序扩大了双重解稳定的参数区域。突触噪声减少了二联体构型稳定的区域，但仅是微弱的。
Coherent rhythms in the gamma frequency range are ubiquitous in the nervous system and thought to be important in a variety of cognitive activities. Such rhythms are known to be able to synchronize with millisecond precision across distances with significant conduction delay; it is mysterious how this can operate in a setting in which cells receive many inputs over a range of time. Here we analyze a version of mechanism, previously proposed, that the synchronization in the CA1 region of the hippocampus depends on the firing of "doublets" by the interneurons. Using a network of local circuits that are arranged in a possibly disordered lattice, we determine the conditions on parameters for existence and stability of synchronous solutions in which the inhibitory interneurons fire single spikes, doublets, or triplets per cycle. We show that the synchronous solution is only marginally stable if the interneurons fire singlets. If they fire doublets, the synchronous state is asymptotically stable in a larger subset of parameter space than if they fire triplets. An unexpected finding is that a small amount of disorder in the lattice structure enlarges the parameter regime in which the doublet solution is stable. Synaptic noise reduces the regime in which the doublet configuration is stable, but only weakly.