Abeles M, Bergman H, Gat I, Meilijson I, Seidemann E, Tishby N, Vaadia E
School of Medicine, Hebrew University, Jerusalem, Israel.
Proc Natl Acad Sci U S A. 1995 Sep 12;92(19):8616-20. doi: 10.1073/pnas.92.19.8616.
Parallel recordings of spike trains of several single cortical neurons in behaving monkeys were analyzed as a hidden Markov process. The parallel spike trains were considered as a multivariate Poisson process whose vector firing rates change with time. As a consequence of this approach, the complete recording can be segmented into a sequence of a few statistically discriminated hidden states, whose dynamics are modeled as a first-order Markov chain. The biological validity and benefits of this approach were examined in several independent ways: (i) the statistical consistency of the segmentation and its correspondence to the behavior of the animals; (ii) direct measurement of the collective flips of activity, obtained by the model; and (iii) the relation between the segmentation and the pair-wise short-term cross-correlations between the recorded spike trains. Comparison with surrogate data was also carried out for each of the above examinations to assure their significance. Our results indicated the existence of well-separated states of activity, within which the firing rates were approximately stationary. With our present data we could reliably discriminate six to eight such states. The transitions between states were fast and were associated with concomitant changes of firing rates of several neurons. Different behavioral modes and stimuli were consistently reflected by different states of neural activity. Moreover, the pair-wise correlations between neurons varied considerably between the different states, supporting the hypothesis that these distinct states were brought about by the cooperative action of many neurons.
将行为猴子中几个单个皮层神经元的尖峰序列并行记录作为一个隐马尔可夫过程进行分析。并行尖峰序列被视为一个多变量泊松过程,其向量发放率随时间变化。由于这种方法,完整的记录可以被分割成一系列在统计上可区分的隐藏状态,其动态被建模为一阶马尔可夫链。通过几种独立的方式检验了这种方法的生物学有效性和益处:(i)分割的统计一致性及其与动物行为的对应关系;(ii)对模型获得的活动集体翻转的直接测量;(iii)分割与记录的尖峰序列之间的成对短期互相关之间的关系。对于上述每项检验,还与替代数据进行了比较,以确保其显著性。我们的结果表明存在明显分离的活动状态,在这些状态内发放率大致稳定。根据我们目前的数据,我们可以可靠地区分六到八个这样的状态。状态之间的转变很快,并且与几个神经元发放率的伴随变化相关。不同的行为模式和刺激始终由不同的神经活动状态反映出来。此外,神经元之间的成对相关性在不同状态之间有很大差异,支持了这些不同状态是由许多神经元的协同作用引起的这一假设。