Sekine Makoto, Mino Hiroyuki, Durand Dominique M
Graduate School of Engineering, Kanto Gakuin University, 1-50-1 Mutsuura E., Kanazawa-ku, Yokohama 236-8501, Japan.
Annu Int Conf IEEE Eng Med Biol Soc. 2009;2009:1521-4. doi: 10.1109/IEMBS.2009.5333069.
It has been shown that oscillations can be generated by additive Gaussian white noise in a recurrent Hodgkin-Huxley neuron model. Type 1 oscillation was induced with Stochastic Resonance (SR) by additive Gaussian noise at lower amplitudes, while Type 2 oscillation was observed at higher amplitudes. However, the mechanism of Type 2 oscillation is not clear. In this article, we test the hypothesis through computer simulations that the period of the Type 2 oscillation can be affected by temperature in a recurrent neural network in which the recurrent model is constructed by four Hodgkin-Huxley (HH) neuron models. Each HH neuron model is driven by Gaussian noise and sub-threshold excitatory synaptic currents with an alpha function from another HH neuron model, and the action potentials (spike firings) of each HH neuron model are transferred to the other HH neuron model via sub-threshold synaptic currents. From spike firing times recorded, the inter spike interval (ISI) histogram was generated, and the periodicity of spike firings was detected from the ISI histogram at each HH neuron model. The results show that the probability of spike firings in the Type1 oscillation is maximized at a specific standard deviation (S.D.) of the Gaussian white noise with SR at 6.3, 15.0 and 25.0 degrees C, while the period of the Type 2 oscillation depends on temperature. It is concluded that the Type1 oscillation can be induced by additive Gaussian white noise on the basis of a synaptic delay in the recurrent HH neuron model, whereas ISIs of the Type 2 oscillation may be determined by refractory periods of HH neuron models.
研究表明，在循环霍奇金 - 赫胥黎神经元模型中，加性高斯白噪声可以产生振荡。在较低幅度下，通过随机共振（SR）由加性高斯噪声诱导出1型振荡，而在较高幅度下观察到2型振荡。然而，2型振荡的机制尚不清楚。在本文中，我们通过计算机模拟检验了这样一个假设：在一个由四个霍奇金 - 赫胥黎（HH）神经元模型构建的循环神经网络中，2型振荡的周期会受到温度的影响。每个HH神经元模型由高斯噪声和来自另一个HH神经元模型的具有α函数的阈下兴奋性突触电流驱动，并且每个HH神经元模型的动作电位（尖峰放电）通过阈下突触电流传递到其他HH神经元模型。根据记录的尖峰放电时间，生成了峰峰间期（ISI）直方图，并从每个HH神经元模型的ISI直方图中检测尖峰放电的周期性。结果表明，在6.3、15.0和25.0摄氏度下，1型振荡中尖峰放电的概率在高斯白噪声的特定标准差（S.D.）下通过SR达到最大值，而2型振荡的周期取决于温度。得出的结论是，基于循环HH神经元模型中的突触延迟，加性高斯白噪声可以诱导1型振荡，而2型振荡的ISI可能由HH神经元模型的不应期决定。
