Abstract
In recent literature the reduced heart rate variability has been recognized as an adverse sign in several heart diseases. In the present paper a new measure of variability based on the research of stationary periods of heart rate in symbolic dynamics is introduced. Stationary periods are defined in terms of accelerations and decelerations of the instantaneous rate in strips of four consecutive qualified beats. Using this definition we compare the amount of stationary periods of the electrocardi ographyc sinusal R-R intervals both in clinically healthy and in transplanted subjects to the ones in atrial fibrillation. The R-R sequences are provided by the Holter ECG of 12 recipient subjects transplanted from at least 5 years, of 18 healthy subjects and 18 subjects presenting only atrial fibrillation. Despite the comparability of the mean heart rate of the three groups, the amount of stationary periods was found to be significantly larger in transplanted than in healthy. The amount of stationary periods in fibrillating subjects turns out to have an intermediate value; this value can be explained assuming that in the symbolic dynamics the R-R intervals appears to be a sequence of independent random variables. The larger amount of stationary periods in transplanted subjects can suggest a reduced or absent autonomic nervous regulation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kleiger R.E., Miller J.P., Bigger J.T., Moss A.J. and the Mult center Post-Infarct on Research Group, Decreased heart rate variability and its association with increased mortality after acute myocardial nfarction, Am.J.Cardiol.59:256–262
De Ferrari G.M., Vanoli E., Scwartz P.J., Cardiac vagal activity myocardial ischemia and sudden death. In Zipes D.P. Jalife J.eds. Cardiac Electrophys ology: From Cell to Bedside. Philadelphia, Pa: W.B.Saunders Co. 422–434 (1995)
Dav denko J.M., Pertsov A.V., Salomonsz R. Baxter W., Jalife J., Stationary and drifting sp ral waves of excitat on in isolated cardiac muscle Nature 23:349–351(1992)
Copie X., Hnatkova K., Blankoff I., Staunton A., Camm A.J., Malik M., Risque de mortal te apres un nfarctus du myocarde: apport de la frequence cardiaque, de sa variabilite, et de la fract on d’eject on ventriculaire gauche.Arch Mal Coeur Vaiss, 89 (7)865–71 (1996)
Copie X., Le Heuzey J.Y., Iliou M.C., Pousset F., Lavergne T., Guize L., Evolut on de la variabilite de la frequence cardiaque apres infarctus du myocarde. Apport du diagramme de Poincare. Arch Mal Coeur Vaiss 88 (11)1621–6 (1995)
Heart rate variability. Standards of Measurement, Physiological Interpretation, and Clinical Use. Task Force of the European Society of Card ology and the North American Society of Pacing and Electrophysiology Circulation 93:1043–1065 (1996)
Copie X., Hnatkova K., Staunton A., Fei L., Camm A.J., Malik M., Predictive power of increased heart rate versus depressed left ventricular ejection fraction and heart rate variability for risk stratfication after myocard al infarction.Results of a two-year follow-up study. J Am Coll Cardiol. 27 (2)270–6 (1996)
Kurths, J., Voss, A., Saparin, P., Kleiner H.J., Wessel, N. Quantitative analysis of heart rate variability,Chaos 5,88–94 (1995).
Giuliani, A., Colosimo, A. Complexity and aging as correlated with heartbeat dynamics, Proceedings of ‘Complexity in the living: a modelistic approach’ Rome, CISB (1998)
Colosimo, A., Giuliani, A., Mancini, A.M., Piccirillo, G., Marigliano, V., Estimating a cardiac age by means of heart rate variability, Am. J. Physiol., H1841–H1847 (1997).
Ambrosini M., Cammarota C., Guarini G., Heart rate stationarity in heart transplanted patients.Clin Ter 152 (6)363–366 (2001)
Cammarota C., Ambrosini M., Sette A., Di Luozzo M., Nesta C., Rotunno R., Sellitt I., Sulla variabilit dell’ attivit cinetica del cuore nei cardiotrapiantat Att 102 Cong. Naz. Soc. Ital Med. Int. S 13 2001-11–04
Cammarota C., Ambrosini M., Sette A., Di Luozzo M., Nesta C., Ross P., A new mathematical method for thr analysis of the presumed reinnervation of the transplanted heart. Att VIII Nat onal Congress of the Italian Society of Cardiovascular research. Turin Italy 20-22 September 2001 Italian Heart J.Vol.2 Suppl.
Ambrosin M., Rossi P., Sette A., Nesta C., Di Luozzo M., Cammarota C., The presumed reinnervation of the transplanted human heart: analysis wath a new mathemetical method. Marilleva, Trento 2002
Meyer M;, Marcon C., Ferrett G., Fiocch R, Cerretelli P, Skinner J.E., Heart rate variability n the human transplanted heart:nonlinear dynamics and QT vs RR-QT alterat ons during exercise suggest a return Integr Physiol Behav Sci 31(4):289–305 (1996)
Fallen E.L., Kamath M.V., Ghista D.N., Fitchett D., Spectral Analysis of heart rate variability following human heart transplantation ev dence for funct onal reinnervat on J Auton.Nerv.Syst.23:199–206 (1988)
Arrowood J.A. Goudreau E. Minisi A.J. Davis A.B. Mohanty P.K. Evidence against reinnervation of card ac vagal a differents after human orthotopic cardiac transplantat on Circulation 92:402–408 (1995)
Rowan R.A., Billingham M.E., Myocardial nnervation n long-term heart transplant surv vors:a quant tat ve ultrastructural survey J Heart Transplant 7:448–452 (1988)
Meyer M, Marcon C, Ferrett G, Fiocch R, Cerretelli P, Skinner JE, Heart rate variability in the human transplanted heart: nonlinear dynamics and QT vs RR-QT alterat ons during exercise suggest a return of neurocardiac regulation in long-term recovery. Integr Physiol Behav Sci 31(4):289–305(1996)
Guarin G., Cammarota C., Fidente D., Marino O. and Ambrosin M. The autocorrelation of cardiac beat as a method of research of the heart’ s memory (First commun cat on)Clin.Ter.149:215–217(1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cammarota, C., Guarini, G., Ambrosini, M. (2002). Analysis of Stationary Periods of Heart Rate via Symbolic Dynamics. In: Colosimo, A., Sirabella, P., Giuliani, A. (eds) Medical Data Analysis. ISMDA 2002. Lecture Notes in Computer Science, vol 2526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36104-9_2
Download citation
DOI: https://doi.org/10.1007/3-540-36104-9_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00044-0
Online ISBN: 978-3-540-36104-6
eBook Packages: Springer Book Archive