Time delay correction of the synchrogram for optimized detection of cardiorespiratory coordination

The cardiorespiratory synchrogram, a graphical tool based on the stroboscopic technique, is an established method for evaluating phase-locking between cardiac and respiratory oscillators. In the original method, the phase of the respiratory oscillator is observed at the instants of time when the phase of the cardiac oscillator attains a certain value. In this article, we introduced an additional adaptive delay in the cardiac oscillator based on the maximisation of the cross-correlation or symbolic coupling traces between the phases of respiration and the delayed R–R intervals. We then investigated phase coordination in thirteen normal subjects (five males, eight females; age: 19–24 years) for different body postures. Cardiorespiratory coordination was observed to be significantly reduced in the upright position (supine vs. upright: 11.9 ± 5.1 vs. 6.9 ± 3.6, P < 0.05). Compared to the original algorithm we observed an increase in the detection of average cardiorespiratory coordination (supine original vs. delay: 11.9 vs. 18.9%), together with a decrease in standard deviation of the percentage of coordination in all the subjects, after introducing the heart rate delay (supine original vs. delay: 5.1 vs. 4.4%). In conclusion, the performance of the synchrogram technique was improved by including an adaptive delay in the cardiac oscillator.

[1]  M. Kabir,et al.  Quantification of Cardiorespiratory Interactions Based on Joint Symbolic Dynamics , 2011, Annals of Biomedical Engineering.

[2]  Aneta Stefanovska,et al.  Synchronization and modulation in the human cardiorespiratory system , 2000 .

[3]  M. Rosenblum,et al.  Synchronization in noisy systems and cardiorespiratory interaction , 1998, IEEE Engineering in Medicine and Biology Magazine.

[4]  A. Voss,et al.  Joint symbolic dynamic analysis of beat-to-beat interactions of heart rate and systolic blood pressure in normal pregnancy , 2002, Medical and Biological Engineering and Computing.

[5]  Michael Rosenblum,et al.  Quantitative Analysis of cardiorespiratory Synchronization in infants , 2000, Int. J. Bifurc. Chaos.

[6]  Xiaolin Yu,et al.  Effects of mental tasks on the cardiorespiratory synchronization , 2010, Respiratory Physiology & Neurobiology.

[7]  Schuster,et al.  Collective frequencies and metastability in networks of limit-cycle oscillators with time delay. , 1991, Physical review letters.

[8]  Mathias Baumert,et al.  Short- and long-term joint symbolic dynamics of heart rate and blood pressure in dilated cardiomyopathy , 2005, IEEE Transactions on Biomedical Engineering.

[9]  Solange Akselrod,et al.  Phase-averaged characterization of respiratory sinus arrhythmia pattern. , 2005 .

[10]  M. Rosenblum,et al.  Estimation of delay in coupling from time series. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  J. Haueisen,et al.  Kardiorespiratorische Desynchronisation nach akutem Myokardinfarkt , 2000, Zeitschrift für Kardiologie.

[12]  D. Navajas,et al.  Effect of body posture on respiratory impedance. , 1988, Journal of applied physiology.

[13]  J. Kurths,et al.  Phase synchronization: from theory to data analysis , 2003 .

[14]  Dirk Hoyer,et al.  Mutual information and phase dependencies: measures of reduced nonlinear cardiorespiratory interactions after myocardial infarction. , 2002, Medical engineering & physics.

[15]  H H Abel,et al.  Synchronization in the human cardiorespiratory system. , 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  S. Ahmaidi,et al.  Effect of body posture on postexercise parasympathetic reactivation in men , 2009, Experimental physiology.

[17]  L. Rowell Human Cardiovascular Control , 1993 .

[18]  D. V. Reddy,et al.  Experimental Evidence of Time Delay Induced Death in Coupled Limit Cycle Oscillators , 2000 .

[19]  A Stefanovska,et al.  Reversible transitions between synchronization states of the cardiorespiratory system. , 2000, Physical review letters.

[20]  U Leder,et al.  [Cardiorespiratory desynchronization after acute myocardial infarct]. , 2000, Zeitschrift fur Kardiologie.

[21]  Niels Wessel,et al.  Detection of time-delayed interactions in biosignals using symbolic coupling traces , 2009 .

[22]  A. Pedotti,et al.  Effects of gender and posture on thoraco-abdominal kinematics during quiet breathing in healthy adults , 2010, Respiratory Physiology & Neurobiology.

[23]  P. Sanders,et al.  Cardiorespiratory Phase-Coupling Is Reduced in Patients with Obstructive Sleep Apnea , 2010, PloS one.

[24]  S. Strogatz,et al.  Time Delay in the Kuramoto Model of Coupled Oscillators , 1998, chao-dyn/9807030.

[25]  P. Larsen,et al.  Mechanism of cardioventilatory coupling: insights from cardiac pacing, vagotomy, and sinoaortic denervation in the anesthetized rat. , 2007, American journal of physiology. Heart and circulatory physiology.

[26]  Kiyoshi Kotani,et al.  Postural-induced phase shift of respiratory sinus arrhythmia and blood pressure variations: insight from respiratory-phase domain analysis. , 2008, American journal of physiology. Heart and circulatory physiology.

[27]  Derek Abbott,et al.  Cardiorespiratory Coordination in Rats is Influenced by Autonomic Blockade , 2009 .

[28]  H. Lackner,et al.  Oscillations of heart rate and respiration synchronize during poetry recitation. , 2004, American journal of physiology. Heart and circulatory physiology.

[29]  J. Sharp,et al.  Effects of body position change on thoracoabdominal motion. , 1978, Journal of applied physiology: respiratory, environmental and exercise physiology.

[30]  J. Kurths,et al.  Heartbeat synchronized with ventilation , 1998, Nature.

[31]  Philipp Berens,et al.  CircStat: AMATLABToolbox for Circular Statistics , 2009, Journal of Statistical Software.

[32]  Jose Alvarez-Ramirez,et al.  Delays in the human heartbeat dynamics. , 2009, Chaos.

[33]  Y. Tzeng,et al.  Human sinus arrhythmia: inconsistencies of a teleological hypothesis. , 2009, American journal of physiology. Heart and circulatory physiology.

[34]  D. Kaplan,et al.  Determinism in bivariate cardiorespiratory phase-space sets , 1998, IEEE Engineering in Medicine and Biology Magazine.

[35]  R. I. Kitney,et al.  Transient phase locking patterns among respiration, heart rate and blood pressure during cardiorespiratory synchronisation in humans , 2000, Medical and Biological Engineering and Computing.

[36]  S Akselrod,et al.  Does synchronization reflect a true interaction in the cardiorespiratory system? , 2002, Medical engineering & physics.

[37]  U. Zwiener,et al.  Relative and intermittent cardiorespiratory coordination , 1997, IEEE Engineering in Medicine and Biology Magazine.

[38]  E. Braunwald,et al.  Control of Heart Rate by the Autonomic Nervous System: Studies in Man on the Interrelation Between Baroreceptor Mechanisms and Exercise , 1966, Circulation research.

[39]  A Stefanovska,et al.  Phase coupling in the cardiorespiratory interaction. , 2008, IET systems biology.

[40]  Peter Van Leeuwen,et al.  Detecting cardiorespiratory Coordination by Respiratory Pattern Analysis of Heart Period Dynamics - the Musical rhythm Approach , 2000, Int. J. Bifurc. Chaos.

[41]  S C Gandevia,et al.  Discharge frequencies of single motor units in human diaphragm and parasternal muscles in lying and standing. , 2001, Journal of applied physiology.

[42]  Paul W. Hodges,et al.  Ventilatory changes following head-up tilt and standing in healthy subjects , 2005, European Journal of Applied Physiology.

[43]  Silke Lange,et al.  A quantitative comparison of different methods to detect cardiorespiratory coordination during night-time sleep , 2004, Biomedical engineering online.

[44]  S. Havlin,et al.  Phase synchronization in temperature and precipitation records , 2002, physics/0211092.

[45]  Y Miyamoto,et al.  The dynamic response of the cardiopulmonary parameters to passive head-up tilt. , 1982, The Japanese journal of physiology.

[46]  Kiyoshi Kotani,et al.  Model for cardiorespiratory synchronization in humans. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.