Jk. Kanters et al., LACK OF EVIDENCE FOR LOW-DIMENSIONAL CHAOS IN HEART-RATE-VARIABILITY, Journal of cardiovascular electrophysiology, 5(7), 1994, pp. 591-601
Introduction: The term chaos is used to describe erratic or apparently
random time-dependent behavior in deterministic systems. It has been
suggested that the variability observed in the normal heart rate may b
e due to chaos, but this question has not been settled. Methods and Re
sults: Heart rate variability was assessed by recordings of consecutiv
e RR intervals in ten healthy subjects using ambulatory ECG. All recor
dings were performed with the subjects at rest in the supine position.
To test for the presence of nonlinearities and/or chaotic dynamics, t
en surrogate time series were constructed from each experimental datas
et. The surrogate data were tailored to have the same linear dynamics
and the same amplitude distribution as the original data. Experimental
and surrogate data were then compared using various nonlinear measure
s. Power spectral analysis of the RR intervals showed a 1/f pattern. T
he correlation dimension differed only slightly between the experiment
al and the surrogate data, indicating that linear correlations, and no
t a ''strange'' attractor, are the major determinants of the calculate
d correlation dimension. A test for nonlinear predictability showed co
herent nonlinear dynamic structure in the experimental data, but the p
rediction error as a function of the prediction length increased at a
slower rate than characteristic of a low-dimensional chaotic system. C
onclusion: There is no evidence for low-dimensional chaos in the time
series of RR intervals from healthy human subjects. However, nonlinear
determinism is present in the data, and various mechanisms that could
generate such determinism are discussed.