Bettermann H, Van Leeuwen P
Institute of Mathematics, University of Witten/Herdecke, FRG.
Acta Biotheor. 1992 Dec;40(4):297-312. doi: 10.1007/BF00046329.
Using dimensional analysis, we demonstrate that it is possible to quantify changes in the topological structure of cardiac dynamics over long periods of time. A method was developed to calculate a dimension-like measure (referred to here as apparent dimension) from a correlation algorithm within a data window of 500 heart beats which is moved in equidistant steps over the time series of the RR intervals over 24 hours. The correspondence between the apparent dimension and the correlation dimension was tested using artificial data sequences. Furthermore 24 hour electrocardiographic recordings of two healthy subjects and of a patient with acute myocardial infarction were examined. The reliability of the analysis could be demonstrated and changes in dimension reflecting physiological as well as pathophysiological changes were observed.
通过量纲分析，我们证明了有可能量化长时间内心脏动力学拓扑结构的变化。我们开发了一种方法，从500次心跳的数据窗口内的相关算法计算出一种类似维度的度量（这里称为表观维度），该数据窗口以等距步长在24小时RR间期的时间序列上移动。使用人工数据序列测试了表观维度与关联维度之间的对应关系。此外，还检查了两名健康受试者和一名急性心肌梗死患者的24小时心电图记录。分析的可靠性得到了证实，并且观察到反映生理以及病理生理变化的维度变化。
