Signal propagation and failure in one-dimensional FitzHugh-Nagumo equations with periodic stimuli.
Signal propagation and failure in one-dimensional FitzHugh-Nagumo equations with periodic stimuli.
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DOI：
10.1103/physreve.71.036226
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发表时间：
2005-03
期刊：
影响因子：
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通讯作者：
Tatsuo Yanagita;Y. Nishiura;Ryo Kobayashi
中科院分区：
文献类型：
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作者：
Tatsuo Yanagita;Y. Nishiura;Ryo Kobayashi
本文分析了可激状态下一维FitzHugh-Nagumo方程中加性周期刺激的影响。在适当的刺激间隔下，脉冲传播在一定的参数范围内得到抑制。这种传播失败来自于连续脉冲湮灭的“死亡点”的形成。而在孤立脉冲不能在空间中稳定传播的参数区，周期性刺激会引起行进脉冲在“共振”条件下的包络传播，即前缘脉冲依次消失，但包络形成并保持其形状传播。
We analyze the effect of additive periodic stimuli in one-dimensional FitzHugh-Nagumo equations in an excitable regime. With a suitable stimulus interval, the suppression of the pulse propagation occurs in some parameter regime. This propagation failure comes from the formation of the "death spot" where successive pulses annihilate. In the parameter regime where the solitary pulse cannot propagate in space stably, however, periodic stimuli cause a propagation of envelope of a traveling pulse under a "resonance" condition, i.e., the pulse at the leading edge disappears successively, however, an envelope is formed and propagates with keeping its shape.