Hasegawa Hideo
Department of Physics, Tokyo Gakugei University, Koganei, Tokyo 184-8501, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Sep;78(3 Pt 1):031110. doi: 10.1103/PhysRevE.78.031110. Epub 2008 Sep 8.
The synchrony and variability of the coupled Langevin model subjected to spatially correlated additive and multiplicative noise are discussed. We have employed numerical simulations and the analytical augmented-moment method, which is the second-order moment method for local and global variables [H. Hasegawa, Phys. Rev. E 67, 041903 (2003)]. It has been shown that the synchrony of an ensemble is increased (decreased) by a positive (negative) spatial correlation in both additive and multiplicative noise. Although the variability for local fluctuations is almost insensitive to spatial correlations, that for global fluctuations is increased (decreased) by positive (negative) correlations. When a pulse input is applied, the synchrony is increased for the correlated multiplicative noise, whereas it may be decreased for correlated additive noise coexisting with uncorrelated multiplicative noise. An application of our study to neuron ensembles has demonstrated the possibility that information is conveyed by the variance and synchrony in input signals, which accounts for some neuronal experiments.
讨论了受空间相关加性和乘性噪声影响的耦合朗之万模型的同步性和变异性。我们采用了数值模拟和解析增强矩方法，这是一种针对局部和全局变量的二阶矩方法[长谷川浩，《物理评论E》67，041903(2003)]。结果表明，在加性和乘性噪声中，正（负）空间相关性会增加（降低）总体的同步性。尽管局部涨落的变异性对空间相关性几乎不敏感，但全局涨落的变异性会因正（负）相关性而增加（降低）。当施加脉冲输入时，相关乘性噪声会增加同步性，而与不相关乘性噪声共存的相关加性噪声可能会降低同步性。我们的研究在神经元群体中的应用证明了通过输入信号的方差和同步性来传递信息的可能性，这解释了一些神经元实验结果。
