Statistical properties of the phase synchronization index of cardiovascular autonomic control contours

Abstract

Objective ― The purpose of this paper is to study statistical and dynamic properties of the low-frequency (LF) oscillation synchronization in the heart rate variability (HRV) and the finger photoplethysmographic waveform variability (PPGV) in time. Material and Methods ― Our study included 42 healthy men aged 19-21 years. The HRV and the finger PPGV were simultaneously recorded in all subjects during 7,200 seconds at rest. We extracted the LF oscillations in the HRV and the PPGV. To estimate this synchronization we used the method we suggested earlier. Index S was calculated as the relative time of synchronization between the considered LF oscillations. Results ― The sequence of the synchronization intervals between the LF oscillations behaves as a weakly correlated random process, demonstrating the 1/f distribution. However, the distribution of the index S, estimated even for 10-minute records, is close to normal. The results of estimating the S value from realizations of increasing length indicate that S tends to a fixed value with the increase of time series length. Conclusion ― For practical studies we recommend using the experimental records of ECG and PPG with the length of 10 minutes or more, which will provide a standard deviation of the S estimate less than 10%.

Keywords

• low-frequency oscillations
• heart rate variability
• photoplethysmogram
• phase synchronization
• autonomic control