三维Lorenz散点图的解析策略

Analytical strategies of three-dimensional Lorenz scatter plot

目的探讨三维Lorenz散点图的分析技巧及解析策略。方法利用立体几何软件,制作三维Lorenz散点图的数学模型,结合频发室性早搏及其二、三联律的典型病例(DMS公司),在平面解析几何、空间解析几何、图论、排列组合的基础上研究三维Lorenz散点图的空间分布规律,总结其特征及解析技巧。结果频发室性早搏及其二、三联律的三维Lorenz散点图规律性极强:xOy面、yOz面等同于二维Lorenz散点图,反映相邻RR间期的规律性;zOx面表达相隔RR间期极强的规律性,表现出对称的特征;xyz面类似于二维差值散点图,表达相邻RR间期差别程度的规律性,以空间等速线为中心,满足向量守衡定律。结论三维Lorenz散点图整合了二维Lorenz散点图与二维差值散点图的所有优势,还提供了新的视角即zOx面,为研究相隔RR间期的规律性提供了方便。三维Lorenz散点图的解析策略是,xOy面、yOz面在二维Lorenz散点图的基础上分别使用“后加心搏法”“前加心搏”补三搏二期点为四搏三期点;zOx面结合对称的特点了解RR间期的分类特征;xyz面在向量守衡的基础上分析心律失常事件。

Objective To explore the analytical skills and strategies of three-dimensional Lorenz scatter plot.Methods Mathematical model of three-dimensional Lorenz scatter plot was made by using solid geometry software.Based on plane analytic geometry,spatial analytic geometry,graph theory,and permutation and combination,the spatial distribution rules of three-dimensional Lorenz scatter plot were studied;its characteristics and analytical skills were summarized,in a combination with typical cases with frequent ventricular premature beats,and their bigeminy and trigeminy(DMS Company).Results The three-dimensional Lorenz scatter plots of frequent ventricular premature beats,and their bigeminy and trigeminy reflect extremely strong regularity.The xOy and yOz surfaces are equivalent of two-dimensional Lorenz scatter plots,which reflect the rules of adjacent RR intervals.The zOx surface expresses extremely strong regularity of separated RR intervals,which exhibits symmetric features.The xyz surface is similar to two-dimensional difference scatter plot,which expresses the regularity of difference of adjacent RR intervals.And the surface centered at spatial constant velocity line satisfies the law of vector conservation.Conclusion The three-dimensional Lorenz scatter plot integrates all the advantages of two-dimensional Lorenz scatter plot and two-dimensional difference scatter plot.It also facilitates the research on the regularity of separated RR intervals by providing a new perspective of zOx surface.The analytical strategies of three-dimensional Lorenz scatter plot are as follows.For the xOy and yOz surfaces,three-impulse-and-two-interval point is supplemented into four-impulse-and-three-interval point separately in the methods of“add cardiac impulse in back”and“add cardiac impulse in front”based on two-dimensional Lorenz scatter plot.In the zOx surface,the classification characteristics of RR intervals can be known by its symmetric features.In the xyz surface,arrhythmia events can be analyzed on the basis of vector conservation.