鱿鱼巨轴突的多模态跃迁和随机反共振
Multimodal transition and stochastic antiresonance in squid giant axons
摘要：
对N.高桥，Y. Hanyu，T.穆沙河Kubo和G. Matsumoto，Physica D \textbf{43}，318（1990），关于短电流脉冲的周期序列刺激的鱿鱼巨轴突的响应在Hodgkin-Huxley模型内解释。在高频状态下，作为刺激幅度$I_0$的函数的放电率的最小值是由于多模态过渡。在该奇异点以下，仅剩下驱动周期的奇数倍，并且系统对噪声高度敏感。变异系数有一个最大值，发射率有一个最小值作为噪声强度的函数，这是一个随机相干反共振的指示。模型计算再现了在过渡附近最常见模式的发生频率。同时也证实了上述跃迁的输出频率与$I_0$的线性关系。
英文摘要：
The experimental data of N. Takahashi, Y. Hanyu, T. Musha, R. Kubo, and G. Matsumoto, Physica D \textbf{43}, 318 (1990), on the response of squid giant axons stimulated by periodic sequence of short current pulses is interpreted within the Hodgkin-Huxley model. The minimum of the firing rate as a function of the stimulus amplitude $I_0$ in the high-frequency regime is due to the multimodal transition. Below this singular point only odd multiples of the driving period remain and the system is highly sensitive to noise. The coefficient of variation has a maximum and the firing rate has a minimum as a function of the noise intensity which is an indication of the stochastic coherence antiresonance. The model calculations reproduce the frequency of occurrence of the most common modes in the vicinity of the transition. A linear relation of output frequency vs. $I_0$ for above the transition is also confirmed.
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