Phase response theory explains cluster formation in sparsely but strongly connected inhibitory neural networks and effects of jitter due to sparse connectivity.
Phase response theory explains cluster formation in sparsely but strongly connected inhibitory neural networks and effects of jitter due to sparse connectivity.
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相位响应理论解释了稀疏但强连接的抑制神经网络中的簇形成以及稀疏连接引起的抖动影响。
DOI：
10.1152/jn.00728.2018
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发表时间：
2019
影响因子：
2.5
通讯作者：
Canavier,CarmenC
中科院分区：
文献类型：
--
作者：
Tikidji-Hamburyan,RubenA;Leonik,ConradA;Canavier,CarmenC
我们展示了如何预测神经网络是否会表现出全球同步（一个集群状态）或两个集群状态的基础上假设的脉动耦合和严格依赖于相位响应曲线（PRC）所产生的适当的扰动从一个合作伙伴集群。我们的研究结果保持了一个单调增加（意味着更长的延迟，随着相位的增加）PRC，这可能表征抑制性快速尖峰篮子和皮质低阈值尖峰中间神经元响应强抑制。传导延迟稳定了这种PRC形状的同步性，而它们破坏了两个集群状态，前者通过避免不稳定的不连续性，后者通过接近它。我们展示了抖动如何破坏全局同步性，但不是两个集群状态。在一个全对全的网络中，全局同步的局部稳定性并不能保证在一个适当规模的稀疏连接网络中可以观察到全局同步;吸引域可以从PRC中推断出来，并且必须足够大。两个集群的同步是没有明显的区别于一个集群的同步在噪声的存在下，并可能是实际基板的振荡中观察到的局部场电位（LFP）和脑电图（EEG）的情况下，全球同步是不可能的。群集状态之间的转换可能会改变在LFP或EEG中观察到的节律的频率。集群状态之间的过渡内的抑制子网络可以更有效地招聘锥体神经元到网络rhythm.NEW & NOTEWORTHYWe表明，抖动引起的稀疏连接可以不稳定的全球同步，但不是一个两个集群状态与两个较小的集群交替发射。另一方面，传导延迟稳定了同步性并破坏了两个集群状态。这些结果举行，如果每个集群表现出的相位响应曲线类似的一个特点，快速扣球篮和皮质低阈值扣球细胞的强抑制。无论是两个集群或一个集群的状态可能会提供振荡基板的神经计算。
We show how to predict whether a neural network will exhibit global synchrony (a one-cluster state) or a two-cluster state based on the assumption of pulsatile coupling and critically dependent upon the phase response curve (PRC) generated by the appropriate perturbation from a partner cluster. Our results hold for a monotonically increasing (meaning longer delays as the phase increases) PRC, which likely characterizes inhibitory fast-spiking basket and cortical low-threshold-spiking interneurons in response to strong inhibition. Conduction delays stabilize synchrony for this PRC shape, whereas they destroy two-cluster states, the former by avoiding a destabilizing discontinuity and the latter by approaching it. With conduction delays, stronger coupling strength can promote a one-cluster state, so the weak coupling limit is not applicable here. We show how jitter can destabilize global synchrony but not a two-cluster state. Local stability of global synchrony in an all-to-all network does not guarantee that global synchrony can be observed in an appropriately scaled sparsely connected network; the basin of attraction can be inferred from the PRC and must be sufficiently large. Two-cluster synchrony is not obviously different from one-cluster synchrony in the presence of noise and may be the actual substrate for oscillations observed in the local field potential (LFP) and the electroencephalogram (EEG) in situations where global synchrony is not possible. Transitions between cluster states may change the frequency of the rhythms observed in the LFP or EEG. Transitions between cluster states within an inhibitory subnetwork may allow more effective recruitment of pyramidal neurons into the network rhythm.NEW & NOTEWORTHYWe show that jitter induced by sparse connectivity can destabilize global synchrony but not a two-cluster state with two smaller clusters firing alternately. On the other hand, conduction delays stabilize synchrony and destroy two-cluster states. These results hold if each cluster exhibits a phase response curve similar to one that characterizes fast-spiking basket and cortical low-threshold-spiking cells for strong inhibition. Either a two-cluster or a one-cluster state might provide the oscillatory substrate for neural computations.
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脉冲耦合振荡器
影响因子：
3.2
作者：
C. Canavier
通讯作者：
C. Canavier
影响因子：
2.9
作者：
GOLOMB, D;HANSEL, D;SOMPOLINSKY, H
通讯作者：
SOMPOLINSKY, H
影响因子：
2.5
作者：
Shuoguo Wang;Maximilian M. Musharoff;C. Canavier;S. Gasparini
通讯作者：
Shuoguo Wang;Maximilian M. Musharoff;C. Canavier;S. Gasparini
DOI：
10.1016/j.physd.2011.10.017
发表时间：
2011
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
Leonhard Lucken;S. Yanchuk
通讯作者：
S. Yanchuk
适应和分流抑制导致锥体/中间神经元伽玛，锥体细胞稀疏放电
影响因子：
1.2
作者：
M. Krupa;S. Gielen;B. Gutkin
通讯作者：
B. Gutkin