实用心电与临床诊疗2026，Vol.35Issue(1)：88-96,9.DOI:10.13308/j.issn.2097-5716.xd20250366
散点图解析策略之模型对照法
Analytical strategies for electrocardiogram scatter plot:model-comparison method
摘要
Abstract
By using the dynamic graphing and trajectory tracking functions of the"Geometer's Sketchpad"software,this study constructs a series of mathematical models of commonly used electrocardiogram(ECG)scatter plot.On the two-dimension(2D)graphing platform,mathematical models of time scatter plots,Lorenz scatter plots,and difference scatter plots were created;on the three-dimension(3D)graphing platform,the model of a 3D Lorenz plot was completed.The mutual transformation model between the xyz planes of 3D Lorenz scatter plot and the 2D difference scatter plot indicates that the xyz planes of 3D Lorenz scatter plot are equivalent to 2D difference scatter plot,while the xOy and yOz planes of 3D Lorenz scatter plot are 2D Lorenz scatter plot.This finding indirectly confirms the complementary relationship between 2D Lorenz plot and 2D difference scatter plot.The mathematical models of these scatter plots can not only simulate clinically recorded real ECG scatter plots with high precision,but also deduce and generate graphical representations of rare and special cases.By adjusting initial parameters of the models,the formation mechanisms of scatter plots for different types of arrhythmias can be systematically explained.The model-comparison method based on the Geometer's Sketchpad transcends the traditional analytical mode that relies on intuition and experience,providing a mathematical framework for reasoning and verification in ECG scatter plot research.This method not only deepens the understanding of the underlying electrophysiological mechanisms of scatter plots and aids in establishing a holistic perspective on cardiac rhythm,but also offers a tool for re-examining known diseases and identifying new disease features from novel perspectives.关键词
动态心电图/心律失常/心电散点图/时间散点图/Lorenz散点图/差值散点图/三维Lorenz散点图/模型对照法/几何画板Key words
ambulatory electrocardiography/arrhythmia/electrocardiogram scatter plot/time scatter plot/Lorenz scatter plot/difference scatter plot/three-dimensional Lorenz scatter plot/model-comparison method/Geometer's Sketchpad分类
医药卫生引用本文复制引用
景永明,申继红,樊好义..散点图解析策略之模型对照法[J].实用心电与临床诊疗,2026,35(1):88-96,9.基金项目
国家自然科学基金资助项目(62541329) （62541329）
