小鼠脑电波信号的激励与传播模型及关联性分析

J4 ›› 2018, Vol. 35 ›› Issue (4): 470-478.

小鼠脑电波信号的激励与传播模型及关联性分析

倪家正, 陈亦望, 程玉宝

1解放军理工大学电磁环境效应与电光工程国家重点实验室，江苏南京 210007； 2解放军电子工程学院脉冲功率激光技术国家重点实验室，安徽合肥 230037

收稿日期:2017-03-13 修回日期:2017-04-17 出版日期:2018-07-28 发布日期:2018-07-12
通讯作者: 陈亦望（1960-），江苏人，教授，主要从事计算机图形处理及辅助设计方面的研究。 E-mail:yiwang_chen1957@163.com
作者简介:倪家正（1988-）,安徽人，博士生，主要从事激光与物质相互作用、电磁计算方法方面的研究。E-mail：nijiazheng501@163.com
基金资助:
Supported by Applied Basic Research Programs of Science and Technology Commission Foundation of Jiangsu Province (江苏省科委应用基金, BK20150715)

Excitation, propagation models and correlation analysis on mice electroencephalogram

NI Jiazheng, CHEN Yiwang, CHENG Yubao

1 National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing 210007, China; 2 State Key Laboratory of Pulsed Power Laser Technology, Electronic Engineering Institute of PLA, Hefei 230037, China

Received:2017-03-13 Revised:2017-04-17 Published:2018-07-28 Online:2018-07-12

摘要/Abstract

摘要：

为了分析小鼠视觉区脑电波（EEG）信号与呼吸运动之间的关联性，类比电磁场与二能级原子的相互作用，建立了描述呼吸相关脑电波信号激励与传播的双态量子系统与外场相互作用的半经典(EEG场经典描述)与全量子(EEG场量子化)模型，并证明了模型的正确性。基于相干性理论建立了脑电波信号关联的高阶相干分析模型。在睡眠状态，归一化互相干函数的平均幅值在0.3左右，高阶自相干函数曲线相似性很高，可以断定睡眠状态EEG信号与呼吸运动接近实相关；在清醒状态，归一化互相干函数的平均幅值在0.1左右，高阶自相干函数曲线一致性降低，可以断定清醒状态EEG信号与呼吸运动为弱相关。

关键词: 量子光学；关联性分析；半经典模型；量子模型；脑电波

Abstract:

In order to analyze correlation between visual electroencephalograph（EEG） signals and respiratory activities of mice, analogy to the interactivity between electromagnetic field and two-level atom, semiclassical(EEG field classical description) model and quantum(EEG field quantumization) model between outfield and two-state quantum systems describing breath EEG excitation and propagation are established and proved to be correct. Based on coherence theory, a high order coherence analysis model of EEG signal correlation is established. In sleeping state, the mean value of normalized mutual coherence function is about 0.3. The high order self-coherence function curves have high similarity, and it can be concluded that EEG of sleeping state and breath activity must be real correlated. In waking state, the mean value of normalized mutual coherence function is about 0.1. The high order self-coherence function curves have lower similarity, and it can be concluded that EEG of waking state and breath activity must have weak correlation.

Key words: quantum optics; correlation analysis; semiclassical model; quantum model; electroencephalograph

中图分类号:

Q616

倪家正陈亦望程玉宝. 小鼠脑电波信号的激励与传播模型及关联性分析[J]. J4, 2018, 35(4): 470-478.

NI Jiazheng, CHEN Yiwang, CHENG Yubao. Excitation, propagation models and correlation analysis on mice electroencephalogram[J]. J4, 2018, 35(4): 470-478.

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