Lewis Michael J, McNarry Melitta A
College of Engineering, Swansea University, Swansea, UK.
Clin Physiol Funct Imaging. 2015 Jan;35(1):57-63. doi: 10.1111/cpf.12126. Epub 2014 Jan 13.
Assuming that RR time-series behave as a fractionally differintegrated Gaussian process, García-González et al. (2003) recently proposed new indices for quantifying variability and structure in RR data. One of these was the 'fractional noise quantifier' (fnQ), measuring the departure of an RR time-series from a monofractal structure (i.e. a measure of its multifractality). Sixty-nine participants (aged = 34·5 ± 12·4 years, body mass index (BMI) = 23·9 ± 2·9 kg m(-2) , maximal oxygen uptake rate (V˙O2peak ) = 42·4 ± 10·9 ml min(-1) kg(-1) , 39 males) provided continuous beat-to-beat ECG recordings for a 24-h period. Fractional differintegration was used to quantify fnQ, and heart rate variability was calculated in the time domain. All variables were evaluated during consecutive 1-h periods and also during four 6-h blocks corresponding to morning, afternoon, evening and night periods. Apart from RR, circadian trends in all variables were independent of gender (P = 0·11-0·59). Apart from fnQ, all variables exhibited circadian variation (0·0005<P<0·012). Although fnQ was statistically uniform during the 24-h period, it showed a trend towards elevated values during evening and night. The main finding of this study was that fnQ was elevated by around 10% during the evening and night, although this was not statistically significant. This suggests that the structure of RR time-series in healthy individuals is most strongly 'multifractal' during evening and night periods. fnQ appears to be a plausible surrogate measure of multifractality in RR time-series.
假设RR时间序列表现为分数阶差分积分高斯过程,加西亚 - 冈萨雷斯等人(2003年)最近提出了用于量化RR数据变异性和结构的新指标。其中之一是“分数噪声量化器”(fnQ),用于测量RR时间序列与单分形结构的偏离程度(即其多重分形性的一种度量)。69名参与者(年龄 = 34.5 ± 12.4岁,体重指数(BMI)= 23.9 ± 2.9 kg m⁻²,最大摄氧率(V˙O2peak)= 42.4 ± 10.9 ml min⁻¹ kg⁻¹,39名男性)提供了24小时连续的逐搏心电图记录。使用分数阶差分积分来量化fnQ,并在时域中计算心率变异性。所有变量在连续的1小时时间段内以及对应于上午、下午、晚上和夜间的四个6小时时间段内进行评估。除RR外,所有变量的昼夜趋势均与性别无关(P = 0.11 - 0.59)。除fnQ外,所有变量均表现出昼夜变化(0.0005 < P < 0.012)。尽管fnQ在24小时期间在统计学上是均匀的,但在晚上和夜间呈现出升高的趋势。本研究的主要发现是,尽管在统计学上不显著,但fnQ在晚上和夜间升高了约10%。这表明健康个体RR时间序列的结构在晚上和夜间最强烈地表现为“多重分形”。fnQ似乎是RR时间序列多重分形性的一个合理替代指标。