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Cited by 68Heart Rate Variability and Autonomic ControlNeuroscience of respiration and sleepCardiac electrophysiology and arrhythmias

Central regulation of heart rate and the appearance of respiratory sinus arrhythmia: new insights from mathematical modeling

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Ben-Tal, Alona, Shamailov, Sophie S., Paton, Julian F.R.·2014·Mathematical Biosciences
DOI 10.1016/j.mbs.2014.06.015PMC PMC4146737
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Abstract

A minimal model for the neural control of heart rate (HR) has been developed with the aim of better understanding respiratory sinus arrhythmia (RSA) – a modulation of HR at the frequency of breathing. This model consists of two differential equations and is integrated into a previously-published model of gas exchange. The heart period is assumed to be affected primarily by the parasympathetic signal, with the sympathetic signal taken as a parameter in the model. We include the baroreflex, mechanical stretch-receptor feedback from the lungs, and central modulation of the cardiac vagal tone by the respiratory drive. Our model mimics a range of experimental observations and provides several new insights. Most notably, the model mimics the growth in the amplitude of RSA with decreasing respiratory frequency up to 7 breaths per minute (for humans). Our model then mimics the decrease in the amplitude of RSA at frequencies below 7 breaths per minute and predicts that this decrease is due to the baroreflex (we show this both numerically and analytically with a linear baroreflex). Another new prediction of the model is that the gating of the baroreflex leads to the dependency of RSA on mean vagal tone. The new model was also used to test two previously-suggested hypotheses regarding the physiological function of RSA and supports the hypothesis that RSA minimizes the work done by the heart while maintaining physiological levels of arterial CO2. These and other new insights the model provides extend our understanding of the integrative nature of vagal control of the heart.

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  • Maximisation of RSA/HRV at around 6 breaths per min has been confirmed by numerous studies.

    “Maximisation of RSA/HRV at around 6 breaths per min has since been confirmed by numerous studies [65, 73, 74].”

    From The physiological effects of slow breathing in the healthy human (2017) · cites this paper as [74]

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Research works printed but not linked: 2

  1. [60]Sparks HV Rooke TW ebrary Inc. Essentials of cardiovascular physiology 1987 University of Minnesota Press
  2. [65]Davis AL McCloskey DI Potter EK Respiratory modulation of baroreceptor and chemoreceptor reflexes affecting heart-rate through sympathetic nervous-system Journal of Physiology-London 1977 272 3 691 703 PMC1353649 592209

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Authors
Ben-Tal, A., Shamailov, S. S., & Paton, J. F. R.
Affiliations
  • Massey University (NZ)
  • University of Bristol (GB)
ORCID
Venue
Mathematical Biosciences
Publisher
Elsevier BV
Published
2014-09
Volume
255
Pages
71-82
ISSN
0025-5564 (ISSN-L)
DOI
10.1016/j.mbs.2014.06.015
PMC
PMC4146737
OpenAlex
W2051707019
Semantic Scholar
a7545c98bfd622d907288d4d3439db8a46257956
Cited by
68
References
71
Citations by year
2026: 3 · 2025: 3 · 2024: 6 · 2023: 8 · 2022: 7 · 2021: 6 · 2020: 11 · 2019: 9 · 2018: 7 · 2017: 1 · 2016: 2 · 2015: 3 · 2014: 2
FWCI
1.83
Type
journal article
Language
en
Open access
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Mathematical Biosciences (publishedVersion)
  • PubMed (publishedVersion)
  • PubMed Central (acceptedVersion)
  • Bristol Research (University of Bristol) (submittedVersion)
  • Explore Bristol Research (submittedVersion)
Funders
NIH (R01 NS069220)
Topics
  • Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Heart Rate Variability and Autonomic Control
  • Life Sciences › Neuroscience › Endocrine and Autonomic Systems › Neuroscience of respiration and sleep
  • Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Cardiac electrophysiology and arrhythmias
Keywords
respiratory sinus arrhythmia, heart rate regulation, baroreflex, vagal tone, parasympathetic nervous system, respiratory rate, lung stretch receptors, arterial carbon dioxide
MeSH terms
Animals, Blood Pressure, Heart Rate, Humans, Models, Cardiovascular, Respiration, Tidal Volume, Vagus Nerve, Baroreflex, Mathematical Concepts, Respiratory Sinus Arrhythmia

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