ArticleMathematical biosciences2014
Central regulation of heart rate and the appearance of respiratory sinus arrhythmia: new insights from mathematical modeling.
Article in Mathematical biosciences, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed, 64 citations in OpenAlex.
- Raga Bhairavi in virtual reality reduces stress-related psychophysiological markers.Scientific reports · 2024Trial
- Cardiorespiratory Dynamics as a Non-Autonomous System of Coupled Oscillators with Time-Varying Frequency Modulation.Entropy (Basel, Switzerland) · 2026Article
- Reinstating respiratory heart rate variability improves hemodynamic responses during exercise in heart failure with reduced ejection fraction.Basic research in cardiology · 2025Article
- A comprehensive evaluation of linear and non-linear HRV parameters between paced breathing and stressful mental state.Heliyon · 2024Article
- Cardiorespiratory adaptations in small cetaceans and marine mammals.Experimental physiology · 2024Review
- Closed-loop modeling of central and intrinsic cardiac nervous system circuits underlying cardiovascular control.AIChE journal. American Institute of Chemical Engineers · 2023Article
- Cardiorespiratory dynamics during respiratory maneuver in athletes.Frontiers in network physiology · 2023Article
- Combined effect of transcutaneous auricular vagus nerve stimulation and 0.1 Hz slow-paced breathing on working memory.Frontiers in neuroscience · 2023Article
- Third Trimester Fetuses Demonstrate Priming, a Form of Implicit Memory, In Utero.Children (Basel, Switzerland) · 2022Article
- Deep-Breathing Biofeedback Trainability in a Virtual-Reality Action Game: A Single-Case Design Study With Police Trainers.Frontiers in psychology · 2022Article
- Heart Rate Variability during Auricular Acupressure at Heart Point in Healthy Volunteers: A Pilot Study.Evidence-based complementary and alternative medicine : eCAM · 2022Article
- Cardiorespiratory coupling is associated with exercise capacity in patients with chronic obstructive pulmonary disease.BMC pulmonary medicine · 2021Observational
- Traube-Hering waves are formed by interaction of respiratory sinus arrhythmia and pulse pressure modulation in healthy men.Journal of applied physiology (Bethesda, Md. : 1985) · 2020Article
- Relationship between cardiorespiratory phase coherence during hypoxia and genetic polymorphism in humans.The Journal of physiology · 2020Article
- A model-based analysis of autonomic nervous function in response to the Valsalva maneuver.Journal of applied physiology (Bethesda, Md. : 1985) · 2019Article
- The logic behind neural control of breathing pattern.Scientific reports · 2019Article
- A quantitative model of relation between respiratory-related blood pressure fluctuations and the respiratory sinus arrhythmia.Medical & biological engineering & computing · 2019Article
- Using Respiratory Sinus Arrhythmia to Estimate Inspired Tidal Volume in the Bottlenose Dolphin (Frontiers in physiology · 2019Article
- Carotid Bodies and the Integrated Cardiorespiratory Response to Hypoxia.Physiology (Bethesda, Md.) · 2018Review
- The physiological effects of slow breathing in the healthy human.Breathe (Sheffield, England) · 2017Article
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
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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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.