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3/秒发作期脑电图的非线性自回归分析:对潜在动力学的影响

Nonlinear autoregressive analysis of the 3/s ictal electroencephalogram: implications for underlying dynamics.

作者信息

Schiff N D, Victor J D, Canel A

机构信息

Department of Neurology and Neuroscience, New York Hospital-Cornell Medical Center, NY 10021, USA.

出版信息

Biol Cybern. 1995;72(6):527-32. doi: 10.1007/BF00199895.

DOI:10.1007/BF00199895
PMID:7612724
Abstract

In a previous study, nonlinear autoregressive (NLAR) models applied to ictal electroencephalogram (EEG) recordings in six patients revealed nonlinear signal interactions that correlated with seizure type and clinical diagnosis. Here we interpret these models from a theoretical viewpoint. Extended models with multiple nonlinear terms are employed to demonstrate the independence of nonlinear dynamical interactions identified in the 'NLAR fingerprint' of patients with 3/s seizure discharges. Analysis of the role of periodicity in the EEG signal reveals that the fingerprints reflect the dynamics not only of the periodic discharge itself, but also of the fluctuations of each cycle about an average waveform. A stability analysis is used to make qualitative inferences concerning the network properties of the ictal generators. Finally, the NLAR fingerprint is analyzed in the context of Volterra-Weiner theory.

摘要

在之前的一项研究中,应用于6名患者发作期脑电图(EEG)记录的非线性自回归(NLAR)模型揭示了与癫痫发作类型和临床诊断相关的非线性信号相互作用。在此,我们从理论角度对这些模型进行解读。采用具有多个非线性项的扩展模型来证明在3/s癫痫放电患者的“NLAR指纹”中识别出的非线性动力学相互作用的独立性。对EEG信号中周期性作用的分析表明,这些指纹不仅反映了周期性放电本身的动力学,还反映了每个周期围绕平均波形的波动情况。利用稳定性分析对发作期发生器的网络特性进行定性推断。最后,在Volterra - Wiener理论的背景下对NLAR指纹进行分析。

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本文引用的文献

1
Characteristic nonlinearities of the 3/s ictal electroencephalogram identified by nonlinear autoregressive analysis.通过非线性自回归分析确定的3/s发作期脑电图的特征性非线性
Biol Cybern. 1995;72(6):519-26. doi: 10.1007/BF00199894.
2
Coupled Van der Pol oscillators---a model of excitatory and inhibitory neural interactions.耦合范德波尔振荡器——一种兴奋性和抑制性神经相互作用的模型。
Biol Cybern. 1980;39(1):37-43. doi: 10.1007/BF00336943.
3
A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue.一种关于皮质和丘脑神经组织功能动力学的数学理论。
Kybernetik. 1973 Sep;13(2):55-80. doi: 10.1007/BF00288786.
4
A relation between the Akaike criterion and reliability of parameter estimates, with application to nonlinear autoregressive modelling of ictal EEG.赤池准则与参数估计可靠性之间的关系及其在发作期脑电图非线性自回归建模中的应用。
Ann Biomed Eng. 1992;20(2):167-80. doi: 10.1007/BF02368518.