Passaglia Christopher L, Troy John B
Biomedical Engineering Department, Boston University, 44 Cummington Street, Boston, MA 02215, USA.
J Neurophysiol. 2004 Aug;92(2):1023-33. doi: 10.1152/jn.01089.2003. Epub 2004 Apr 7.
Neural noise introduces uncertainty about the signals encoded in neural spike trains. Because of the uncertainty neurons can reliably transmit a limited amount of information. This amount is difficult to quantify for neurons that combine signals and noise in a complex manner, as many trials would be needed to estimate the joint probability distribution of stimulus and neural response accurately. The task is experimentally tractable, however, for neurons that combine signals with additive Gaussian noise. For such neurons, the joint probability distribution is well defined and information transmission rates can be computed from estimates of signal-to-noise ratio. Here we use power spectral analysis to specify the contributions of signal and noise to retinal coding of visual information. We show that in the spike trains of cat ganglion cells noise power is minimal and constant at temporal frequencies from 0.3 to 20 Hz and that it increases at higher frequencies to a plateau level that generally depends on stimulus contrast. We also show that trial-to-trial fluctuations in noise amplitude at different frequencies are uncorrelated and normally distributed. Although the contrast dependence indicates that noise at high temporal frequencies contributes nonlinearly to ganglion cell spike trains, cells in the primary visual cortex are not known to respond to stimulus modulations >20 Hz. Hence, noise in the retinal output would appear additive, white, and Gaussian from their perspective. This greatly simplifies analysis of information transmission from the eye to the primary visual cortex and perhaps other regions of the brain.
神经噪声给神经脉冲序列中编码的信号带来了不确定性。由于这种不确定性,神经元只能可靠地传输有限量的信息。对于以复杂方式组合信号和噪声的神经元来说,这一数量很难量化,因为需要进行大量试验才能准确估计刺激和神经反应的联合概率分布。然而,对于将信号与加性高斯噪声相结合的神经元来说,该任务在实验上是易于处理的。对于这类神经元,联合概率分布是明确的,并且信息传输率可以根据信噪比的估计值来计算。在这里,我们使用功率谱分析来确定信号和噪声对视觉信息视网膜编码的贡献。我们表明,在猫神经节细胞的脉冲序列中,噪声功率在0.3至20赫兹的时间频率范围内最小且恒定,并且在更高频率下会增加到一个平台水平,该水平通常取决于刺激对比度。我们还表明,不同频率下噪声幅度的逐次试验波动是不相关的且呈正态分布。尽管对比度依赖性表明高时间频率下的噪声对神经节细胞脉冲序列有非线性贡献,但初级视觉皮层中的细胞对大于20赫兹的刺激调制没有反应。因此,从它们的角度来看,视网膜输出中的噪声似乎是加性、白色且高斯分布的。这极大地简化了从眼睛到初级视觉皮层以及大脑其他区域的信息传输分析。