抑制性自突触增强Hodgkin-Huxley神经元的随机共振
Inhibitory Autapses Enhance Stochastic Resonance of the Hodgkin-Huxley Neuron
DOI: 10.12677/AAM.2022.114249, PDF,  被引量   
作者: 李玉娇, 杨晓瑜, 曲艺贞：河南科技大学数学与统计学院，河南 洛阳
关键词: 抑制性自突触；随机共振；神经元；噪声；Inhibitory Autapses； Stochastic Resonance； Neuron； Noise
摘要: 本文由Hodgkin-Huxley神经元模型研究了抑制性自突触增强随机共振的反常现象。当神经元不含抑制性自突触时，高斯白噪声能诱导神经元产生一次随机共振。当在神经元中引入抑制性自突触后，抑制性自突触中的时滞能诱导神经元产生多次随机共振。更重要的是，当抑制性自突触中的时滞取值合适时，抑制性自突触的电导既能增强随机共振也能削弱随机共振。抑制性自突触增强随机共振的现象与传统的抑制性作用压制神经元的活动形成鲜明的对比，因此抑制性自突触增强随机共振的现象丰富了非线性动力学的内涵。
Abstract: In this paper, the counterintuitive phenomenon that inhibitory autapses enhance stochastic resonance is investigated in the Hodgkin-Huxley neuron. When the neuron does not contain inhibitory autapses, Gaussian white noise can induce stochastic resonance in the neuron. When inhibitory autapses are introduced into the neuron, time delays in inhibitory autapses induce multiple stochastic resonance in the neuron. More importantly, when time delays in inhibitory autapses are appropriate, the conductance of the inhibitory autapses can both enhance stochastic resonance and reduce stochastic resonance. The phenomenon that inhibitory autapses enhance stochastic resonance is in contrast to the traditional viewpoint that inhibitory effects always suppress neuronal activity. The phenomenon that inhibitory autapses enhance stochastic resonance enriches the content of nonlinear dynamics.
文章引用：李玉娇, 杨晓瑜, 曲艺贞. 抑制性自突触增强Hodgkin-Huxley神经元的随机共振[J]. 应用数学进展, 2022, 11(4): 2371-2381. https://doi.org/10.12677/AAM.2022.114249

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