Zipf’s Law of Vasovagal Heart Rate Variability Sequences

Cardiovascular self-organized criticality (SOC) has recently been demonstrated by studying vasovagal sequences. These sequences combine bradycardia and a decrease in blood pressure. Observing enough of these sparse events is a barrier that prevents a better understanding of cardiovascular SOC. Our p...

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Main Author: Jacques-Olivier Fortrat
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/4/413
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author Jacques-Olivier Fortrat
author_facet Jacques-Olivier Fortrat
author_sort Jacques-Olivier Fortrat
collection DOAJ
description Cardiovascular self-organized criticality (SOC) has recently been demonstrated by studying vasovagal sequences. These sequences combine bradycardia and a decrease in blood pressure. Observing enough of these sparse events is a barrier that prevents a better understanding of cardiovascular SOC. Our primary aim was to verify whether SOC could be studied by solely observing bradycardias and by showing their distribution according to Zipf’s law. We studied patients with vasovagal syncope. Twenty-four of them had a positive outcome to the head-up tilt table test, while matched patients had a negative outcome. Bradycardias were distributed according to Zipf’s law in all of the patients. The slope of the distribution of vasovagal sequences and bradycardia are slightly but significantly correlated, but only in cases of bradycardias shorter than five beats, highlighting the link between the two methods (r = 0.32; p < 0.05). These two slopes did not differ in patients with positive and negative outcomes, whereas the distribution slopes of bradycardias longer than five beats were different between these two groups (−0.187 ± 0.004 and −0.213 ± 0.006, respectively; p < 0.01). Bradycardias are distributed according to Zipf’s law, providing clear insight into cardiovascular SOC. Bradycardia distribution could provide an interesting diagnosis tool for some cardiovascular diseases.
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spelling doaj.art-f215286134344cfb9dda4486e956fd062023-11-19T20:51:01ZengMDPI AGEntropy1099-43002020-04-0122441310.3390/e22040413Zipf’s Law of Vasovagal Heart Rate Variability SequencesJacques-Olivier Fortrat0UMR CNRS 6015 Inserm 1083, Centre Hospitalier Universitaire Angers, 4 Rue Larrey CEDEX 9, 49933 Angers, FranceCardiovascular self-organized criticality (SOC) has recently been demonstrated by studying vasovagal sequences. These sequences combine bradycardia and a decrease in blood pressure. Observing enough of these sparse events is a barrier that prevents a better understanding of cardiovascular SOC. Our primary aim was to verify whether SOC could be studied by solely observing bradycardias and by showing their distribution according to Zipf’s law. We studied patients with vasovagal syncope. Twenty-four of them had a positive outcome to the head-up tilt table test, while matched patients had a negative outcome. Bradycardias were distributed according to Zipf’s law in all of the patients. The slope of the distribution of vasovagal sequences and bradycardia are slightly but significantly correlated, but only in cases of bradycardias shorter than five beats, highlighting the link between the two methods (r = 0.32; p < 0.05). These two slopes did not differ in patients with positive and negative outcomes, whereas the distribution slopes of bradycardias longer than five beats were different between these two groups (−0.187 ± 0.004 and −0.213 ± 0.006, respectively; p < 0.01). Bradycardias are distributed according to Zipf’s law, providing clear insight into cardiovascular SOC. Bradycardia distribution could provide an interesting diagnosis tool for some cardiovascular diseases.https://www.mdpi.com/1099-4300/22/4/413baroreflexheart rate variabilityself-organized criticalityvasovagal syncopeZipf’s law
spellingShingle Jacques-Olivier Fortrat
Zipf’s Law of Vasovagal Heart Rate Variability Sequences
Entropy
baroreflex
heart rate variability
self-organized criticality
vasovagal syncope
Zipf’s law
title Zipf’s Law of Vasovagal Heart Rate Variability Sequences
title_full Zipf’s Law of Vasovagal Heart Rate Variability Sequences
title_fullStr Zipf’s Law of Vasovagal Heart Rate Variability Sequences
title_full_unstemmed Zipf’s Law of Vasovagal Heart Rate Variability Sequences
title_short Zipf’s Law of Vasovagal Heart Rate Variability Sequences
title_sort zipf s law of vasovagal heart rate variability sequences
topic baroreflex
heart rate variability
self-organized criticality
vasovagal syncope
Zipf’s law
url https://www.mdpi.com/1099-4300/22/4/413
work_keys_str_mv AT jacquesolivierfortrat zipfslawofvasovagalheartratevariabilitysequences