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Dynamics of transitions from anti-phase to multiple in-phase synchronizations in inhibitory coupled bursting neurons

机译：从抗阶段转变对多相同步抑制耦合爆发神经元的动态

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摘要

Transition from anti-phase to in-phase synchronizations in inhibitory coupled bursting neurons is very important for locomotor rhythms of animals. Here, multiple in-phase (complete), anti-phase, and phase synchronous bursting patterns are simulated in inhibitory coupled map-based model neurons with bursting patterns, and synchronization transitions between these patterns are simulated in a two-dimensional parameter space of the coupling strength and time delay. Time delay-induced transition from anti-phase to in-phase synchronous bursting behaviors matches those observed in a biological experiment on the inhibitory coupled neurons in the stomatogastric ganglion of lobster. Furthermore, bursting patterns of the in-phase (complete) synchronous behaviors can be well interpreted with the dynamic responses of an isolated single neuron to a negative square current whose action time, duration, and strength are similar to those of the inhibitory coupling current modulated by the coupling strength and time delay. The burst of the synchronous behaviors manifests the same pattern as the square negative current-induced burst of the isolated single neuron, which is acquired with the fast-slow variable dissection method. The results not only present novel nonlinear phenomenon of the time delay-induced multiple synchronous behaviors and synchronization transitions, but also provide a reasonable interpretation with the different dynamic responses of map-based bursting model neuron to an external inhibitory stimulus applied at different phases.
机译：从抗阶段转变为抑制偶联的爆破神经元的相位同步对动物的运动节奏非常重要。这里，在具有突发模式的抑制耦合地图的模型神经元中模拟多相（完整的），抗阶段和相位同步突发模式，并且这些图案之间的同步转换是模拟在二维参数空间中的耦合强度和时间延迟。从抗阶段到相位同步爆破行为的时间延迟诱导的转变与在龙虾的抑制偶联神经节中的生物实验中观察到的那些。此外，可以利用分离的单个神经元的动态响应来解释同相（完整）同步行为的突发模式，其动作时间，持续时间和强度类似于调制的抑制耦合电流的负方向电流通过耦合强度和时间延迟。同步行为的突发表现为与孤立的单一神经元的正方形负电流诱导的突发相同的图案，其用快速缓慢的可变解剖方法获取。结果不仅提出了时间延迟诱导的多种同步行为和同步转变的新型非线性现象，而且还提供了与基于地图的爆发模型神经元的不同动态响应，以在不同阶段应用的外部抑制刺激的不同动态响应提供合理的解释。

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  • 来源
    《Nonlinear dynamics》 |2018年第3期|共20页
  • 作者

    Jia Bing; Wu Yichen; He Dan; Guo Baihong; Xue Lei;

  • 作者单位

    Fudan Univ State Key Lab Med Neurobiol Dept Physiol &

    Biophys Sch Life Sci Shanghai 200438 Peoples R China;

    Fudan Univ State Key Lab Med Neurobiol Dept Physiol &

    Biophys Sch Life Sci Shanghai 200438 Peoples R China;

    Fudan Univ State Key Lab Med Neurobiol Dept Physiol &

    Biophys Sch Life Sci Shanghai 200438 Peoples R China;

    Fudan Univ State Key Lab Med Neurobiol Dept Physiol &

    Biophys Sch Life Sci Shanghai 200438 Peoples R China;

    Fudan Univ State Key Lab Med Neurobiol Dept Physiol &

    Biophys Sch Life Sci Shanghai 200438 Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 动力学;
  • 关键词

    Synchronization transition; Bifurcation; In-phase synchronization; Time delay; Inhibitory synapse; Bursting;

    机译：同步转变;分叉;同步同步;时间延迟;抑制突触;爆裂;

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