A mathematical model for autonomic control of heart rate variation.

The aim of the study presented was to develop a mathematical model that could demonstrate the characteristics of beat-to-beat fluctuations in heart rate under simultaneous sympathetic and vagal controls. By this model, we attempted to illustrate the relation between autonomic activity and HRV, and to explain those controversies in interpreting HRV under certain physiological and pharmacological conditions.

[1]  A. Rosenblueth,et al.  THE INTERRELATIONS OF VAGAL AND ACCELERATOR EFFECTS ON THE CARDIAC RATE , 1934 .

[2]  A. Camm,et al.  Components of heart rate variability--what they really mean and what we really measure. , 1993, The American journal of cardiology.

[3]  Arthur C. Sanderson,et al.  Input-Output Analysis of an IPFM Neural Model: Effects of Spike Regularity and Record Length , 1980, IEEE Transactions on Biomedical Engineering.

[4]  M. Turiel,et al.  Power Spectral Analysis of Heart Rate and Arterial Pressure Variabilities as a Marker of Sympatho‐Vagal Interaction in Man and Conscious Dog , 1986, Circulation research.

[5]  J. Hartikainen,et al.  The high frequency component of heart rate variability reflects cardiac parasympathetic modulation rather than parasympathetic 'tone'. , 1995, Acta physiologica Scandinavica.

[6]  D. Eckberg,et al.  Important influence of respiration on human R-R interval power spectra is largely ignored. , 1993, Journal of applied physiology.

[7]  D. Eckberg Sympathovagal balance: a critical appraisal. , 1997, Circulation.

[8]  J. Saul,et al.  Modulation of cardiac autonomic activity during and immediately after exercise. , 1989, The American journal of physiology.

[9]  M. Kollai,et al.  Heart rate variability after complete autonomic blockade in man. , 1995, Journal of the autonomic nervous system.

[10]  H. Nagaraja,et al.  Heart rate variability: origins, methods, and interpretive caveats. , 1997, Psychophysiology.

[11]  R. Russell,et al.  Effect of Combined Sympathetic and Vagal Stimulation on Heart Rate in the Dog , 1969, Circulation research.

[12]  S Cerutti,et al.  Linear and nonlinear dynamics of heart rate variability after acute myocardial infarction with normal and reduced left ventricular ejection fraction. , 1996, The American journal of cardiology.

[13]  H. Warner,et al.  A Mathematical Model of Heart Rate Control by Sympathetic and Vagus Efferent Information , 1962, Journal of applied physiology.

[14]  J. Saul,et al.  Transfer function analysis of autonomic regulation. I. Canine atrial rate response. , 1989, The American journal of physiology.

[15]  M. Kollai,et al.  Respiratory sinus arrhythmia is a limited measure of cardiac parasympathetic control in man. , 1990, The Journal of physiology.

[16]  K Koizumi,et al.  Effect of cardiac vagal and sympathetic nerve activity on heart rate in rhythmic fluctuations. , 1985, Journal of the autonomic nervous system.

[17]  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.

[18]  J Conway,et al.  Pitfalls in the interpretation of spectral analysis of the heart rate variability during exercise in humans. , 1995, Acta physiologica Scandinavica.

[19]  J. Hartikainen,et al.  Effect of sympathetic modulation and sympatho-vagal interaction on heart rate variability in anaesthetized dogs. , 1995, Acta physiologica Scandinavica.

[20]  A. Malliani,et al.  Cardiovascular Neural Regulation Explored in the Frequency Domain , 1991, Circulation.

[21]  G R Hageman,et al.  Differential sympathetic-parasympathetic interactions in sinus node and AV junction. , 1986, The American journal of physiology.

[22]  R. Cohen,et al.  Power spectrum analysis of heart rate fluctuation: a quantitative probe of beat-to-beat cardiovascular control. , 1981, Science.

[23]  P G Katona,et al.  Cardiac vagal efferent activity and heart period in the carotid sinus reflex. , 1970, The American journal of physiology.

[24]  E J Bayly,et al.  Spectral analysis of pulse frequency modulation in the nervous systems. , 1968, IEEE transactions on bio-medical engineering.