癫痫病例中的低维混沌
Low-dimensional chaos in an instance of epilepsy.
作者信息
Babloyantz A, Destexhe A
出版信息
Proc Natl Acad Sci U S A. 1986 May;83(10):3513-7. doi: 10.1073/pnas.83.10.3513.
Abstract
Using a time series obtained from the electroencephalogram recording of a human epileptic seizure, we show the existence of a chaotic attractor, the latter being the direct consequence of the deterministic nature of brain activity. This result is compared with other attractors seen in normal human brain dynamics. A sudden jump is observed between the dimensionalities of these brain attractors (4.05 +/- 0.05 for deep sleep) and the very low dimensionality of the epileptic state (2.05 +/- 0.09). The evaluation of the autocorrelation function and of the largest Lyapunov exponent allows us to sharpen further the main features of underlying dynamics. Possible implications in biological and medical research are briefly discussed.
摘要
通过使用从人类癫痫发作的脑电图记录中获得的时间序列，我们证明了混沌吸引子的存在，而混沌吸引子是大脑活动确定性本质的直接结果。将这一结果与正常人类大脑动力学中观察到的其他吸引子进行了比较。在这些大脑吸引子的维度（深度睡眠时为4.05±0.05）与癫痫状态的极低维度（2.05±0.09）之间观察到了突然跳跃。自相关函数和最大李雅普诺夫指数的评估使我们能够进一步明确潜在动力学的主要特征。简要讨论了其在生物学和医学研究中的可能意义。
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