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Assessing statistical significance of phase synchronization index — An application to study baroreflex function in critically-ill infants

Author

Listed:
  • Govindan, R.B.
  • Al-Shargabi, Tareq
  • Andescavage, Nickie N.
  • Metzler, Marina
  • Lenin, R.B.
  • Plessis, Adré du

Abstract

Phase differences of two signals in perfect synchrony exhibit a narrow band distribution, whereas the phase differences of two asynchronous signals exhibit uniform distribution. We assess the statistical significance of the phase synchronization between two signals by using a signed rank test to compare the distribution of their phase differences to the theoretically expected uniform distribution for two asynchronous signals. Using numerical simulation of a second order autoregressive (AR2) process, we show that the proposed approach correctly identifies the coupling between the AR2 process and the driving white noise. We also identify the optimal p-value that distinguishes coupled scenarios from uncoupled ones. To identify the limiting cases, we study the phase synchronization between two independent white noises as a function of bandwidth of the filter in a different second simulation. We identify the frequency bandwidth below which the proposed approach fails and suggest using a data-driven approach for those scenarios. Finally, we demonstrate the application of this approach to study the coupling between beat-to-beat cardiac intervals and continuous blood pressure obtained from critically-ill infants to characterize the baroreflex function.

Suggested Citation

  • Govindan, R.B. & Al-Shargabi, Tareq & Andescavage, Nickie N. & Metzler, Marina & Lenin, R.B. & Plessis, Adré du, 2017. "Assessing statistical significance of phase synchronization index — An application to study baroreflex function in critically-ill infants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 331-337.
    • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:331-337
    DOI: 10.1016/j.physa.2016.08.051
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    References listed on IDEAS

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    1. Gozolchiani, Avi & Moshel, Shay & Hausdorff, Jeffrey M. & Simon, Ely & Kurths, Jürgen & Havlin, Shlomo, 2006. "Decaying of phase synchronization in parkinsonian tremor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 552-560.
    2. Govindan, R.B. & Al-Shargabi, Tareq & Metzler, Marina & Andescavage, Nickie N. & Joshi, Radhika & du Plessis, Adré, 2016. "A spike correction approach for variability analysis of heart rate sick infants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 35-42.
    3. Istvan Bonyhay & Marcelo Risk & Roy Freeman, 2013. "High-Pass Filter Characteristics of the Baroreflex – A Comparison of Frequency Domain and Pharmacological Methods," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-12, November.
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