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。

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.