Markov process of maintained impulse activity in central single neurons
Markov process of maintained impulse activity in central single neurons
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中枢单个神经元维持脉冲活动的马尔可夫过程
DOI：
10.1007/bf00272599
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发表时间：
1972
期刊：
影响因子：
--
通讯作者：
Mitsuaki Yamamoto
中科院分区：
文献类型：
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作者：
H. Nakahama;N. Ishii;Mitsuaki Yamamoto
为了阐明中枢神经系统维持脉冲活动的随机特性，我们提出了一种基于香农熵的统计依赖性度量。该测量可以提供神经脉冲序列的马尔可夫特性，代表统计依赖性的必要和充分条件。序列的马尔可夫过程的阶数由从联合熵导出的条件熵决定。这里，高斯过程情况下的联合熵与代替序列相关系数矩阵的协方差矩阵直接相关。因此，确定马尔可夫过程阶数的条件是通过序列相关系数矩阵的方程得到的。中脑网状结构（MRF）、红核（RN）和外侧膝状核（LGN）神经元记录的神经脉冲序列的马尔可夫过程顺序已被估计。在连续脉冲序列中，MRF和RN神经元维持的脉冲活动具有2阶到4阶马尔可夫特性，而LGN神经元的脉冲活动不具有马尔可夫特性。
To clarify the stochast properties of the maintained impulse activity of the central nervous system, we proposed a measure of statistical dependency on the basis of Shannon's entropy. This measure could provide the Markov properties of the neural impulse sequences, representing the necessary and sufficient condition for the statistical dependence. The order of Markov process of the sequence is determined by the conditional entropy which is derived from the joint entropy. Here the joint entropy in the case of Gaussian process is directly related with the covariance matrix which is substituted for the matrix of the serial correlation coefficients. Therefore the condition to determine the order of Markov process is obtained by the equation of the matrices of the serial correlation coefficients. The order of Markov process of the neural impulse sequences recorded from the mesencephalic reticular formation (MRF), red nucleus (RN), and lateral geniculate nucleus (LGN) neurons has been estimated. The maintained impulse activity of the MRF and RN neurons had from the 2-nd to 4-th order Markov property, while that of the LGN had no Markov property, in the consecutive impulse sequences.