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Original Research ARTICLE Provisionally accepted The full-text will be published soon. Notify me

Front. Physiol. | doi: 10.3389/fphys.2019.01078

Hypothetical control of heart rate variability

  • 1United States Army Research Laboratory, United States
  • 2Army Research Office, United States

In the last three decades, the analysis of heart rate variability by nonlinear methods demonstrated the complexity of cardiovascular regulation. Additionally to the observations of periodic heart rate regulation by the autonomic nervous system, the long-term statistics of the heart rate has been determined to reminisce a tempered L\'{e}vy process. A number of heuristic arguments have previously been made to support a tempering conjecture, using exponentially truncated waiting times for the time intervals between heart beats. Herein we use the fractional probability calculus to frame our arguments and to parameterize the control process that tempers the L\'{e}vy process through a collective-induced potential. We also determine that the hypothesis of a self-induced nonlinear potential control resulting in such a tempered L\'{e}vy process is consistent with the hypothesis of disease being the loss of physiologic complexity made over 25 years ago.

Keywords: heart rate variabiity, inverse power law, scale invariance, Levy Process, Fractional Fokker Planck equation

Received: 05 Mar 2019; Accepted: 06 Aug 2019.

Copyright: © 2019 Turalska and West. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Dr. Malgorzata Turalska, United States Army Research Laboratory, Adelphi, 20783, Maryland, United States, gosiatura@gmail.com