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首页> 外文期刊>Journal of Computational Neuroscience >Loss of phase-locking in non-weakly coupled inhibitory networks of type-I model neurons
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Loss of phase-locking in non-weakly coupled inhibitory networks of type-I model neurons

机译：I型模型神经元的非弱耦合抑制网络中的锁相丢失

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Synchronization of excitable cells coupled by reciprocal inhibition is a topic of significant interest due to the important role that inhibitory synaptic interaction plays in the generation and regulation of coherent rhythmic activity in a variety of neural systems. While recent work revealed the synchronizing influence of inhibitory coupling on the dynamics of many networks, it is known that strong coupling can destabilize phase-locked firing. Here we examine the loss of synchrony caused by an increase in inhibitory coupling in networks of type-I Morris-Lecar model oscillators, which is characterized by a period-doubling cascade and leads to mode-locked states with alternation in the firing order of the two cells, as reported recently by Maran and Canavier (J Comput Nerosci, 2008) for a network of Wang-Buzsaki model neurons. Although alternating-order firing has been previously reported as a near-synchronous state, we show that the stable phase difference between the spikes of the two Morris-Lecar cells can constitute as much as 70% of the unperturbed oscillation period. Further, we examine the generality of this phenomenon for a class of type-I oscillators that rnare close to their excitation thresholds, and provide an intuitive geometric description of such "leap-frog" dynamics. In the Morris-Lecar model network, the alternation in the firing order arises under the condition of fast closing of K~+ channels at hyperpolarized potentials, which leads to slow dynamics of membrane potential upon synaptic inhibition, allowing the presynaptic cell to advance past the postsynaptic cell in each cycle of the oscillation. Further, we show that non-zero synaptic decay time is crucial for the existence of leap-frog firing in networks of phase oscillators. However, we demonstrate that leap-frog spiking can also be obtained in pulse-coupled inhibitory networks of one-dimensional oscillators with a multi-branched phase domain, for instance in a network of quadratic integrate-and-fire model cells. Finally, for the case of a homogeneous network, we establish quantitative conditions on the phase resetting properties of each cell necessary for stable alternating-order spiking, complementing the analysis of Goel and Ermentrout (Physica D 163:191-216,2002) of the order-preserving phase transition map.
机译：由于相互之间的抑制作用引起的兴奋性细胞的同步化是一个令人关注的话题，因为抑制性突触相互作用在各种神经系统中，在连贯的节律活动的产生和调节中起着重要的作用。尽管最近的工作揭示了抑制耦合对许多网络动力学的同步影响，但众所周知，强耦合会破坏锁相发射的稳定性。在这里，我们研究了由I型Morris-Lecar模型振荡器网络中抑制耦合的增加引起的同步损失，其特征是周期倍增级联并导致锁模态的激发顺序发生交替。正如Maran和Canavier（J Comput Nerosci，2008）最近为Wang-Buzsaki模型神经元网络报道的那样，两个细胞。尽管以前已经报道过交替点火是一种接近同步状态，但我们表明，两个莫里斯-莱卡尔电池的尖峰之间的稳定相位差可构成高达70％的无扰动振荡周期。此外，我们检查了这种现象对一类接近其激励阈值的I型振荡器的普遍性，并提供了这种“跳跃式”动力学的直观几何描述。在Morris-Lecar模型网络中，在超极化电势下K〜+通道快速关闭的情况下，触发顺序发生了交替变化，这导致突触抑制后膜电势的缓慢动态变化，从而使突触前细胞前进通过突触。突触后细胞在每个周期的振荡。此外，我们表明，非零突触衰减时间对于相位振荡器网络中跳越触发的存在至关重要。但是，我们证明，在具有多分支相域的一维振荡器的脉冲耦合抑制网络中，例如在二次积分和发射模型单元网络中，也可以实现跳跃式尖峰。最后，对于同质网络，我们为稳定交替交替阶跃信号所必需的每个单元的相位重置特性建立了定量条件，补充了Goel和Ermentrout（Physica D 163：191-216,2002）的分析。保持订单的相变图。

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