Some neurons in the nervous system do not show repetitive firing for steady currents. For time-varying inputs, they fire once if the input rise is fast enough. This property of phasic firing is known as Type III excitability. Type III excitability has been observed in neurons in the auditory brainstem (MSO), which show strong phase-locking and accurate coincidence detection. In this paper, we consider a Hodgkin-Huxley type model (RM03) that is widely-used for phasic MSO neurons and we compare it with a modification of it, showing tonic behavior. We provide insight into the temporal processing of these neuron models by means of developing and analyzing two reduced models that reproduce qualitatively the properties of the exemplar ones. The geometric and mathematical analysis of the reduced models allows us to detect and quantify relevant features for the temporal computation such as nearness to threshold and a temporal integration window. Our results underscore the importance of Type III excitability for precise coincidence detection.

中文翻译：

---

III 类兴奋性、斜率灵敏度和重合度检测。

神经系统中的一些神经元不会显示出稳定电流的重复放电。对于时变输入，如果输入上升足够快，它们会触发一次。这种相位激发的特性被称为 III 型兴奋性。在听觉脑干 (MSO) 的神经元中观察到 III 型兴奋性，显示出强锁相和准确的符合检测。在本文中，我们考虑了广泛用于阶段性 MSO 神经元的 Hodgkin-Huxley 型模型 (RM03)，并将其与对其的修改进行比较，显示强直行为。我们通过开发和分析两个简化的模型来深入了解这些神经元模型的时间处理，这些模型定性地再现了示例模型的特性。简化模型的几何和数学分析使我们能够检测和量化时间计算的相关特征，例如接近阈值和时间积分窗口。我们的结果强调了 III 型兴奋性对于精确符合检测的重要性。