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Quantifying Memory in Complex Physiological Time-Series

Author

Listed:
  • Amir H Shirazi
  • Mohammad R Raoufy
  • Haleh Ebadi
  • Michele De Rui
  • Sami Schiff
  • Roham Mazloom
  • Sohrab Hajizadeh
  • Shahriar Gharibzadeh
  • Ahmad R Dehpour
  • Piero Amodio
  • G Reza Jafari
  • Sara Montagnese
  • Ali R Mani

Abstract

In a time-series, memory is a statistical feature that lasts for a period of time and distinguishes the time-series from a random, or memory-less, process. In the present study, the concept of “memory length” was used to define the time period, or scale over which rare events within a physiological time-series do not appear randomly. The method is based on inverse statistical analysis and provides empiric evidence that rare fluctuations in cardio-respiratory time-series are ‘forgotten’ quickly in healthy subjects while the memory for such events is significantly prolonged in pathological conditions such as asthma (respiratory time-series) and liver cirrhosis (heart-beat time-series). The memory length was significantly higher in patients with uncontrolled asthma compared to healthy volunteers. Likewise, it was significantly higher in patients with decompensated cirrhosis compared to those with compensated cirrhosis and healthy volunteers. We also observed that the cardio-respiratory system has simple low order dynamics and short memory around its average, and high order dynamics around rare fluctuations.

Suggested Citation

  • Amir H Shirazi & Mohammad R Raoufy & Haleh Ebadi & Michele De Rui & Sami Schiff & Roham Mazloom & Sohrab Hajizadeh & Shahriar Gharibzadeh & Ahmad R Dehpour & Piero Amodio & G Reza Jafari & Sara Montag, 2013. "Quantifying Memory in Complex Physiological Time-Series," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-8, September.
    • Handle: RePEc:plo:pone00:0072854
    DOI: 10.1371/journal.pone.0072854
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    References listed on IDEAS

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    1. G. R. Jafari & A. Bahraminasab & P. Norouzzadeh, 2007. "Why Does The Standard Garch(1, 1) Model Work Well?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1223-1230.
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