West Bruce J, Griffin Lori A, Frederick Heather J, Moon Richard E
Mathematics Division, Army Research Office, Research Triangle Park, NC, and Physics Department, Duke University, Durham, NC, USA.
Respir Physiol Neurobiol. 2005 Feb 15;145(2-3):219-33. doi: 10.1016/j.resp.2004.07.010.
To test the hypothesis that the fractal character of breathing and heart rate are independent, inter-breath intervals (IBI) and R-R intervals (RRI) were measured during rest and two levels of exercise at 1 and 2.8 ATA in a hyperbaric chamber in 18 male and female subjects (ages 19-74 years). Both RRI and IBI showed fractal properties. Fractal dimensions (D) for IBI were (mean +/- S.D.) 1.33 +/- 0.11, 1.29 +/- 0.12, 1.19 +/- 0.16 (rest, light and heavy exercise at 1ATA); 1.33 +/- 0.13, 1.25 +/- 0.13, 1.18 +/- 0.14 (same conditions at 2.8 ATA). Corresponding D for RRI were 1.19 +/- 0.11, 1.05 +/- 0.07 and 1.02 +/- 0.05 (1ATA); 1.20 +/- 0.10, 1.03 +/- 0.04 and 1.01 +/- 0.02 (2.8 ATA). The fractal dimension of each variable decreased with exercise and was unaffected by hyperbaric exposure. These two systems were not cross-correlated under any of the six conditions. During rest and light and moderate exercise at 1 and 2.8 ATA the results are consistent with heart rate variability and breathing rate variability being mutually independent of one another.
为验证呼吸和心率的分形特征相互独立这一假设,在高压舱中对18名男性和女性受试者(年龄19 - 74岁)在静息状态以及1个绝对大气压(ATA)和2.8个ATA的两个运动强度水平下进行了测量,记录了呼吸间隔(IBI)和R - R间期(RRI)。RRI和IBI均显示出分形特性。IBI的分形维数(D)分别为(均值±标准差)1.33±0.11、1.29±0.12、1.19±0.16(静息、1个ATA的轻度和重度运动);1.33±0.13、1.25±0.13、1.18±0.14(2.8个ATA的相同条件)。RRI对应的D值分别为1.19±0.11、1.05±0.07和1.02±0.05(1个ATA);1.20±0.10、1.03±0.04和1.01±0.02(2.8个ATA)。每个变量的分形维数随运动而降低,且不受高压暴露的影响。在这六种条件中的任何一种下,这两个系统均未相互交叉关联。在静息以及1个ATA和2.8个ATA的轻度和中度运动期间,结果表明心率变异性和呼吸率变异性相互独立。