协和和弦与不协和和弦的尖峰训练统计
The spike train statistics for consonant and dissonant musical accords
摘要：
考虑了由三个类神经元噪声元件组成的简单系统。其中两个（感觉神经元或传感器）由噪声和具有不同频率比的周期信号刺激，第三个（中间神经元）接收这两个传感器的输出和噪声。我们提出了分析的方法来分析由中间神经元产生的尖峰训练的ISI统计。感觉神经元的ISI分布被认为是已知的。输入正弦信号的频率是按比例的，这对于音乐是常见的。我们表明，在小的整数比（音乐和谐）的情况下，输入对的正弦信号的ISI分布的结果比在大的整数比（音乐不和谐）的输入频率的情况下，更经常的输出尖峰训练。这些影响解释从所提出的理论的观点。
英文摘要：
The simple system composed of three neural-like noisy elements is considered. Two of them (sensory neurons or sensors) are stimulated by noise and periodic signals with different ratio of frequencies, and the third one (interneuron) receives the output of these two sensors and noise. We propose the analytical approach to analysis of Interspike Intervals (ISI) statistics of the spike train generated by the interneuron. The ISI distributions of the sensory neurons are considered to be known. The frequencies of the input sinusoidal signals are in ratios, which are usual for music. We show that in the case of small integer ratios (musical consonance) the input pair of sinusoids results in the ISI distribution appropriate for more regular output spike train than in a case of large integer ratios (musical dissonance) of input frequencies. These effects are explained from the viewpoint of the proposed theory.
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