We study statistical properties, response dynamics, and information transmission in a Hodgkin-Huxley–type neuron system, modeling peripheral electroreceptors in paddlefish. In addition to sodium and potassium currents, the neuron model includes fast calcium and slow afterhyperpolarization (AHP) potassium currents. The synaptic transmission from sensory epithelium is modeled by a Poission process with a rate modulated by narrow-band noise, mimicking stochastic epithelial oscillations observed experimentally. We study how the interplay of parameters of AHP current and synaptic noise affects the statistics of spontaneous dynamics and response properties of the system. In particular, we confirm predictions made earlier with perfect integrate and fire and phase neuron models that epithelial oscillations enhance stimulus–response coherence and thus information transmission in electroreceptor system. In addition, we consider a strong stimulus regime and show that coherent epithelial oscillations may reduce variability of electroreceptor responses to time-varying stimuli.

中文翻译：

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由谐波突触噪声驱动的 Hodgkin-Huxley 型神经元模型的自发动力学和响应特性。

我们研究了霍奇金-赫胥黎型神经元系统的统计特性、响应动力学和信息传输，模拟了白鲟的外周电感受器。除了钠和钾电流外，神经元模型还包括快钙电流和慢后超极化 (AHP) 钾电流。来自感觉上皮的突触传递由泊松过程建模，其速率由窄带噪声调制，模拟实验观察到的随机上皮振荡。我们研究 AHP 电流和突触噪声参数的相互作用如何影响系统的自发动力学和响应特性的统计数据。特别是，我们用完美的整合和火相神经元模型证实了之前的预测，即上皮振荡增强了刺激 - 反应的一致性，从而增强了电感受器系统中的信息传递。此外，我们考虑了一个强大的刺激机制，并表明连贯的上皮振荡可能会减少电感受器对时变刺激的反应的可变性。