Properties of the transmission of pulse sequences in a bistable chain of unidirectionally coupled neurons
Properties of the transmission of pulse sequences in a bistable chain of unidirectionally coupled neurons
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DOI：
10.1016/j.neucom.2010.06.020
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发表时间：
2010-10
期刊：
影响因子：
6
通讯作者：
Y. Horikawa;H. Kitajima
中科院分区：
文献类型：
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作者：
Y. Horikawa;H. Kitajima
我们研究脉冲序列在具有 S 形输入输出关系的神经元链中的传播。脉冲前沿的传播速度取决于前面脉冲的宽度，并且相邻脉冲前沿有吸引力地相互作用。然后通过传输来调制脉冲宽度序列。脉冲宽度序列变化的方程是通过传播脉冲前沿的运动学模型得出的。链中脉宽序列的传输表示为具有加性噪声的线性系统。系统函数的增益随着高频区域神经元的数量呈指数增长。由时空噪声引起的脉冲宽度变化的功率谱也以相同的方式增加。此外，脉冲前沿之间的相互作用保持了初始脉冲序列和发射脉冲序列的相干性和互信息。模拟电路的实验结果证实了这些特性。
We study the propagation of pulse sequences in a chain of neurons with sigmoidal input–output relations. The propagating speeds of pulse fronts depend on the widths of the preceding pulses and adjacent pulse fronts interact attractively. Sequences of pulse widths are then modulated through transmission. Equations for changes in pulse width sequences are derived with a kinematical model of propagating pulse fronts. The transmission of pulse width sequences in the chain is expressed as a linear system with additive noise. The gain of the system function increases exponentially with the number of neurons in a high-frequency region. The power spectrum of variations in pulse widths due to spatiotemporal noise also increases in the same manner. Further, the interaction between pulse fronts keeps the coherence and mutual information of initial and transmitted pulse sequences. Results of an experiment on an analog circuit confirm these properties.