Gough N A
Department of Obstetrics and Gynaecology, University of Wales College of Medicine, Heath Park, Cardiff, UK.
Physiol Meas. 1993 Aug;14(3):309-15. doi: 10.1088/0967-3334/14/3/009.
Current methods for analysing foetal heart rate (FHR) patterns have yet to meet their full potential in the recognition of hypoxia in the foetus. Following the recent suggestion that fractal analysis can be applied to FHR recordings, the current paper describes a method for distinguishing two simultaneous fractal dimensions in FHR variation. An irregular line was plotted from 2500 consecutive foetal heart beat to beat intervals derived from an ultrasound source. A window of 500 intervals was moved along the line in steps of 20 intervals. At each step the Richardson technique was used to make estimates of the length of the line within the window using 40 different ruler lengths. When the estimates were plotted against the ruler lengths on log-log axes the resulting curve exhibited two distinct linear regions, each demonstrating an inverse power relationship. From the two slopes the fractal dimensions were derived for unspecified low- and high-frequency FHR variation in the current window. The values of both fractal dimensions were plotted simultaneously with the irregular FHR line and were found to accord with perceived changes in FHR variation. The method described is simply a measure of the irregularity in a series of foetal heart beat to beat intervals: the existence of fractal properties in the irregular line does not of itself imply underlying deterministic dynamics (e.g. chaos). This new method of observing FHR variability requires no preprocessing of the measured data, which are all taken into account. Not only does it represent a method for studying normal foetal behaviour but also has potential as a sensitive indicator of impending foetal compromise.
目前用于分析胎儿心率(FHR)模式的方法在识别胎儿缺氧方面尚未充分发挥其潜力。继最近有人提出分形分析可应用于FHR记录之后,本文描述了一种区分FHR变化中两个同时存在的分形维数的方法。从超声源获取的2500个连续的胎儿逐搏心跳间隔绘制出一条不规则曲线。一个包含500个间隔的窗口以20个间隔为步长沿着该曲线移动。在每一步,使用理查森技术,用40种不同的尺子长度来估计窗口内曲线的长度。当将这些估计值在双对数坐标轴上相对于尺子长度进行绘制时,所得曲线呈现出两个不同的线性区域,每个区域都显示出反比幂关系。从这两个斜率得出当前窗口中未指定的低频和高频FHR变化的分形维数。将两个分形维数的值与不规则的FHR曲线同时绘制,发现与FHR变化的感知变化相符。所描述的方法仅仅是对一系列胎儿逐搏心跳间隔不规则性的一种度量:不规则曲线中分形特性的存在本身并不意味着潜在的确定性动力学(例如混沌)。这种观察FHR变异性的新方法不需要对测量数据进行预处理,所有数据都被考虑在内。它不仅代表了一种研究正常胎儿行为的方法,而且还有潜力作为即将发生胎儿窘迫的敏感指标。