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Selection of Multiarmed Spiral Waves in a Regular Network of Neurons

机译:神经元规则网络中多臂螺旋波的选择

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摘要

Formation and selection of multiarmed spiral wave due to spontaneous symmetry breaking are investigated in a regular network of Hodgkin-Huxley neuron by changing the excitability and imposing spatial forcing currents on the neurons in the network. The arm number of the multiarmed spiral wave is dependent on the distribution of spatial forcing currents and excitability diversity in the network, and the selection criterion for supporting multiarmed spiral waves is discussed. A broken spiral segment is measured by a short polygonal line connected by three adjacent points (controlled nodes), and a double-spiral wave can be developed from the spiral segment. Multiarmed spiral wave is formed when a group of double-spiral waves rotate in the same direction in the network. In the numerical studies, a group of controlled nodes are selected and spatial forcing currents are imposed on these nodes, and our results show that l-arm stable spiral wave (l = 2, 3, 4,...8) can be induced to occupy the network completely. It is also confirmed that low excitability is critical to induce multiarmed spiral waves while high excitability is important to propagate the multiarmed spiral wave outside so that distinct multiarmed spiral wave can occupy the network completely. Our results confirm that symmetry breaking of target wave in the media accounts for emergence of multiarmed spiral wave, which can be developed from a group of spiral waves with single arm under appropriate condition, thus the potential formation mechanism of multiarmed spiral wave in the media is explained.
机译:通过改变兴奋性并在网络中的神经元上施加空间强迫电流,在霍奇金-赫克斯利神经元的规则网络中研究了由于自发对称破坏而导致的多臂螺旋波的形成和选择。多臂螺旋波的臂数取决于网络中空间强迫电流的分布和兴奋性的多样性,并讨论了支持多臂螺旋波的选择准则。断开的螺旋线段是通过连接三个相邻点(受控节点)的短多边形线测量的,可以从螺旋线段中产生双螺旋波。当一组双螺旋波在网络中沿相同方向旋转时,形成多臂螺旋波。在数值研究中,选择了一组受控节点,并在这些节点上施加了空间强迫电流,我们的结果表明,可以感应出L臂稳定螺旋波(l = 2,3,4,... 8)完全占据网络。还证实了低兴奋性对于诱发多臂螺旋波至关重要,而高兴奋性对于将多臂螺旋波传播到外部很重要,因此不同的多臂螺旋波可以完全占据网络。我们的结果证实,介质中目标波的对称破坏是多臂螺旋波出现的原因,可以在适当的条件下由一组单臂螺旋波形成多臂螺旋波,因此介质中多臂螺旋波的潜在形成机理是解释。

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  • 期刊名称 other
  • 作者

    Bolin Hu; Jun Ma; Jun Tang;

  • 作者单位
  • 年(卷),期 -1(8),7
  • 年度 -1
  • 页码 e69251
  • 总页数 10
  • 原文格式 PDF
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