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两个电耦合起搏器模型中的同相和反相自振荡。

In-phase and antiphase self-oscillations in a model of two electrically coupled pacemakers.

作者信息

Cymbalyuk G S, Nikolaev E V, Borisyuk R M

机构信息

Institute of Mathematical Problems of Biology, Russian Academy of Sciences, Pushchino, Moscow Region.

出版信息

Biol Cybern. 1994;71(2):153-60. doi: 10.1007/BF00197318.

DOI:10.1007/BF00197318
PMID:8068776
Abstract

The dynamic behavior of a model of two electrically coupled oscillatory neurons was studied while the external polarizing current was varied. It was found that the system with weak coupling can demonstrate one of five stable oscillatory modes: (1) in-phase oscillations with zero phase shift; (2) antiphase oscillations with half-period phase shift; (3) oscillations with any fixed phase shift depending on the value of the external polarizing current; (4) both in-phase and antiphase oscillations for the same current value, where the oscillation type depends on the initial conditions; (5) both in-phase and quasiperiodic oscillations for the same current value. All of these modes were robust, and they persisted despite small variations of the oscillator parameters. We assume that similar regimes, for example antiphase oscillations, can be detected in neurophysiological experiments. Possible applications to central pattern generator models are discussed.

摘要

在外部极化电流变化的情况下,研究了两个电耦合振荡神经元模型的动态行为。结果发现,弱耦合系统可以表现出五种稳定振荡模式之一:(1)零相移的同相振荡;(2)半周期相移的反相振荡;(3)取决于外部极化电流值的任何固定相移的振荡;(4)对于相同电流值,同时存在同相和反相振荡,振荡类型取决于初始条件;(5)对于相同电流值,同时存在同相和准周期振荡。所有这些模式都很稳健,尽管振荡器参数有小的变化,它们仍然持续存在。我们假设在神经生理学实验中可以检测到类似的状态,例如反相振荡。还讨论了其在中枢模式发生器模型中的可能应用。

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