Non extensive statistic of Tsallis in the heartbeat of healthy humans

TL;DR

This study analyzes healthy human heartbeat dynamics using wavelet and Hilbert transforms, revealing non-extensive statistical behavior consistent with Tsallis statistics and identifying a specific non-extensive parameter q.

Contribution

It demonstrates that the collective heartbeat behavior extends to larger scales and confirms the non-equilibrium nature of the circulatory system using advanced wavelet analysis.

Findings

Heartbeat dynamics reach a scale of 1024 beats

Healthy humans exhibit a non-extensive parameter q≈1.70

Circulatory system is confirmed to be out of equilibrium

Abstract

It is studied the MIT-BIH Normal Sinus Rhythm Database using a statistical technique of analysis, that is based on the Wavelet and Hilbert Transforms. With that technique, it was previously found, that there is a collective and intrinsic dynamical behavior up to a scale of 64 heartbeats. Now it is shown, that using the Biorthogonal wavelet bior3.1 such a behavior reaches the scale 1024. That result confirms, that the circulatory system is out of equilibrium. According to the Statistical Mechanics of Tsallis, and a recent interpretation of G. Wilk et al. respect to the non extensive parameter q, the healthy human being is characterized by q=1.70+/-0.01.