Bistability and resonance in the periodically stimulated Hodgkin-Huxley model with noise

Details Bistability and resonance in the periodically stimulated Hodgkin-Huxley model with noise Bistability and resonance in the periodically stimulated Hodgkin-Huxley model with noise

2010-12-16

arxiv.org/abs/1012.3743v3

Physical Review E 83, 051901 (2011)

Physics

Biological Physics

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Scientific paper

10.1103/PhysRevE.83.051901

We describe general characteristics of the Hodgkin-Huxley neuron's response to a periodic train of short current pulses with Gaussian noise. The deterministic neuron is bistable for antiresonant frequencies. When the stimuli arrive at the resonant frequency the firing rate is a continuous function of the current amplitude $I_0$ and scales as $(I_0-I_{th})^{1/2}$, where $I_{th}$ is an approximate threshold. Intervals of continuous irregular response alternate with integer mode-locked regions with bistable excitation edge. There is an even-all multimodal transition between the 2:1 and 3:1 states in the vicinity of the main resonance, which is analogous to the odd-all transition discovered earlier in the high-frequency regime. For $I_0

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