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Arnold tongues in human cardiorespiratory systems.
Mark McGuinness1, Young Hong, Duncan Galletly
1School of Mathematical and Computing Sciences, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand.
Chaos (Woodbury, N.Y.)
|March 9, 2004
Summary
Arnold tongues model how heartbeats and respiration synchronize. The study shows cardioventilatory coupling, not respiratory sinus arrhythmia, is the primary driver of this synchronization, with the heart pacing respiration.
Area of Science:
- Cardiovascular physiology
- Nonlinear dynamics
- Systems biology
Background:
- Arnold tongues describe phase-locking in periodic systems, relevant to cardiac arrhythmias.
- Clinical observations show synchronization between heartbeats and respiration in resting patients.
Purpose of the Study:
- To model the synchronization between heartbeats and respiration using circle-map models.
- To investigate the roles of respiratory sinus arrhythmia (RSA) and cardioventilatory coupling (CVC) in this synchronization.
Main Methods:
- Utilized circle-map models to simulate cardiorespiratory interactions.
- Analyzed Arnold tongues to identify synchronization mechanisms.
Main Results:
- The circle-map model successfully replicates the synchronization between heartbeats and respiration.
- Cardioventilatory coupling (CVC) was identified as the dominant mechanism driving synchronization, with the heart acting as a pacemaker for respiration.
Conclusions:
- Cardioventilatory coupling is the primary driver of heart-respiration synchronization.
- Circle-map models provide a valuable framework for understanding complex cardiorespiratory dynamics.