Ferri R, Alicata F, Del Gracco S, Elia M, Musumeci S A, Stefanini M C
Sleep Research Center, Oasi Institute, Troina, Italy.
Electroencephalogr Clin Neurophysiol. 1996 Dec;99(6):539-43. doi: 10.1016/s0013-4694(96)95719-3.
The study of the dynamics of non-linear systems allows the evaluation of the correlation dimension which, in turn, provides an estimate of the number of variables needed to model the process. In such a view, the correlation dimension was calculated for the profiles of the EEG slow-wave activity during sleep obtained from 7 young normal controls and in their corresponding artificial stochastic signals. It was possible to evaluate the complexity of all the real profiles which exhibited an average dimension of 3.76 (SD 0.331), but not that of the artificial control ones. This allows us to conclude that sleep regulation might be considered as a deterministic non-linear process and that the already proposed two-process model of sleep regulation needs to include additional variables with non-linear interactions.
对非线性系统动力学的研究使得能够评估关联维数,而关联维数反过来又能估计对该过程进行建模所需的变量数量。从这一观点来看,计算了从7名年轻正常对照者获得的睡眠期间脑电图慢波活动曲线及其相应人工随机信号的关联维数。可以评估所有真实曲线的复杂性,其平均维数为3.76(标准差0.331),但无法评估人工对照曲线的复杂性。这使我们能够得出结论,睡眠调节可能被视为一个确定性非线性过程,并且已经提出的睡眠调节双过程模型需要纳入具有非线性相互作用的额外变量。