Fractal and complexity measures of heart rate variability

Clinical and Experimental Hypertension

Volumn 27, Issue 2-3, 2005, Pages 149-158

  Perkiömäki, Juha S ^a   Mäkikallio, Timo H ^a   Huikuri, Heikki V ^a  

^a UNIVERSITY OF OULU   (Finland)

Author keywords

Electrocardiography; Heart rate; Heart rate variability; Nonlinear methods

Indexed keywords

CARDIOVASCULAR DISEASE; CARDIOVASCULAR RESPONSE; CHAOTIC DYNAMICS; CONFERENCE PAPER; CORRELATION ANALYSIS; ELECTROCARDIOGRAM; ENTROPY; FATALITY; FRACTAL ANALYSIS; HEART ATRIUM FIBRILLATION; HEART RATE; HEART RATE VARIABILITY; HEART RATE VARIABILITY INDEX; METHODOLOGY; NONLINEAR SYSTEM; OBSERVATION; OSCILLATION; PROGNOSIS; REGULATORY MECHANISM; RR INTERVAL; STATISTICAL ANALYSIS;

ANIMALS; CIRCADIAN RHYTHM; ELECTROCARDIOGRAPHY; FRACTALS; HEART RATE; HUMANS; MODELS, BIOLOGICAL; PROGNOSIS;

EID: 16444385442     PISSN: 10641963     EISSN: None     Source Type: Journal    
DOI: 10.1081/CEH-200048742     Document Type: Conference Paper

References (55)

1. Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology. Heat rate variability. Standards of measurement, physiological interpretation, and clinical use. Circulation 1996; 93:1043-1065.
2. Kleiger RE, Miller JP, Bigger JT Jr. Moss the Multicenter Post-Infarction Research Group AJ. Decreased heart rate variability and its association with increased mortality after acute myocardial infarction. Am J Cardiol 1987; 59:256-262.
3. Zuanetti G, Neilson JM, Latini R, Santoro E, Maggioni AP, Ewing DJ. Prognostic significance of heart rate variability in post-myocardial infarction patients in the fibrinolytic era. The GISSI-s results. Circulation 1996; 94:432-436.
4. Bigger JT, Fleiss J, Steinman RC, Rolnitzky LM, Kleiger RE, Rottman JN. Frequency domain measures of heart period variability and mortality after myocardial infarction. Circulation 1992; 85:164-171.
5. Nolan J, Batin PD, Andrews R, Lindsay SJ, Brooksby P, Mullen M, Baig W, Flapan AD, Cowley A, Prescott RJ, Neilson JM, Fox KA. Propective study of heart rate variability and mortality in chronic heart failure. Results of the United Kingdom heart failure evaluation and assessment of risk trial (UK-Heart). Circulation 1998; 98:1510-1516.
6. Bigger JT, Fleiss JL, Rolnitzky LM, Steinman RC. The ability of several short-term measures of RR variability to predict mortality after myocardial infarction. Circulation 1993; 88:927-934.
7. Fei L, Copie X, Malik M, Camm AJ. Short- and long-term assessment of heart rate variability for risk stratification after acute myocardial infarction. Am J Cardiol 1996; 77:681-684.
8. Peng CK, Havlin S, Stanley HE, Goldberger AL. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 1995; 5:82-87.
9. Pincus SM, Goldberger AL. Physiologic time-series analysis: what does regularity quantify? Am J Physiol 1994; 226:H1643-H1656.
10. Saul JP, Albrecht P, Berger RD, Cohen RJ. Analysis of long-term heart rate variability: methods, l/f scaling and implications. In Computers in Cardiology. Silver Spring, MD: IEEE Computer Society Press, 1987:419-422.
11. Skinner JE, Pratt CM, Vybiral T. A reduction in the correlation dimension of heartbeat intervals precedes imminent ventricular fibrillation in human subjects. Am Heart J 1993; 125:731-743.
12. Yamamoto Y, Hughson RL. Coarse-graining spectral analysis: new method for studying heart rate variability. J Appl Physiol 1991; 71(3):1143-1150.
13. Goldberger AL. Nonlinear dynamics, fractals and chaos: applications to cardiac electrophysiology. Ann Biomed Eng 1990; 18:195-198.
14. Goldberger AL. Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside. Lancet 1996; 347:1312-1314.
15. Denton TA, Diamond GA, Helfant RH, Khan S, Karagueuzian H. Fascinating rhythm: prime on chaos theory and its application to cardiology. Am Heart J 1990; 120:1419-1440.
16. Goldberger AL. Fractal electrodynamics of the heartbeat. Ann NY Acad Sci 1990; 591:402-409.
17. Goldberger AL, West BJ. Fractals in physiology and medicine. Yale J Biol Med 1987; 60:421-435.
18. West BJ, Goldberger AL. Physiology in fractal dimensions. Am Sci 1987; 75:354-365.
19. Bigger JT Jr, Steinman RC, Rolnitzky LM, Fleiss JL, Albrecht P, Cohen RJ. Power law bahavior of RR-interval variability in healthy middle-aged persons, patients with recent acute myocardial infarction, and patients with heart transplants. Circulation 1996; 93:2142-2151.
20. Pikkujämsä SM, Mäkikallio TH, Sourander LB, Räiha IJ, Puukka P, Skytta J, Peng CK, Goldberger AL, Huikuri HV. Cardiac interbeat interval dynamics from childhood to senescence: comparison of conventional and new measures based on fractals and chaos theory. Circulation 1999; 100:393-399.
21. Peng CK, Buldyrev SV, Havlin S, Simons M, Stanley HE, Goldberger AL. Mosaic organization of DNA nucleotides. Phys Rev 1994; E49:1685-1689.
22. Pikkujämsä SM, Mäkikallio TH, Airaksinen KE, Huikuri HV. Determinants and interindividual variation of RR interval dynamics in healthy middle-aged subjects. Am J Physiol Heart Circ Physiol 2001; 280:H1400-H1406.
23. Iyengar N, Peng CK, Morin R, Goldberger AL, Lipsitz LA. Age-related alterations in the fractal scaling of cardiac interbeat interval dynamics. Am J Physiol 1996; 271:R1078-R1084.
24. Tulppo MP, Mäkikallio TH, Seppänen T, Shoemaker K, Tutungi E, Hughson RL, Huikuri HV. Effects of pharmacological adrenergic and vagal modulation on fractal heart rate dynamics. Clin Physiol 2001; 21:515-523.
25. Lin LY, Lin JL, Du CC, Lai LP, Tseng YZ, Huang SKS. Reversal of deteriorated fractal behavior of heart rate variability by beta-blocker therapy in patients with advanced congestive heart failure. J Cardiovasc Electrophysiol 2001; 12:26-32.
26. Ridha M, Mäkikallio TH, Lopera G, Pastor J, de Marchena E, Chakko S, Huikuri HV, Castellanos A, Myerburg RJ. Effects of carvedilol on heart rate dynamics in patients with congestive heart failure. Ann Noninv Electrocardiol 2002; 7:133-138.
27. Perkiömäki JS, Zareba W, Badilini F, Moss AJ. Influence of atropine on fractal and complexity measures of heart rate variability. Ann Noninv Electrocardiol 2002; 7:326-331.
28. Huikuri HV, Mäkikallio TH, Airaksinen KE, Seppänen T, Puukka P, Räiha IJ, Sourander LB. Power-law relationship of heart rate variability as a predictor of mortality in the elderly. Circulation 1998; 97:2031-2036.
29. Vikman S, Mäkikallio TH, Yli-Mäyry S, Nurmi M, Airaksinen KE, Huikuri HV. Heart rate variability and recurrence of atrial fibrillation after electrical cardioversion. Ann Med 2003; 35:36-42.
30. Mäkikallio TH, Hoiber S, Kober L, Torp-Pedersen C, Peng CK, Goldberger AL, Huikuri HV. Fractal analysis of heart rate dynamics as a predictor of mortality in patients with depressed left ventricular function after acute myocardial infarction. TRACE investigators. TRAndolapril Cardiac Evaluation. Am J Cardiol 1999; 83:836-839.
31. Huikuri HV, Mäkikallio TH, Peng CK, Goldberger AL, Hintze U, Moller M. Fractal correlation properties of RR interval dynamics and mortality in patients with depressed left ventricular function after an acute myocardial infarction. Circulation 2000; 101:47-53.
32. Mäkikallio TH, Seppänen T, Airaksinen KE, Koistinen J, Tulppo MP, Peng CK, Goldberger AL, Huikuri HV. Dynamic analysis of heart rate may predict subsequent ventricular tachycardia after myocardial infarction. Am J Cardiol 1997; 80:779-783.
33. Mäkikallio TH, Koistinen J, Jordaens L, Tulppo MP, Wood N, Golosarsky B, Peng CK, Goldberger AL, Huikuri HV. Heart rate dynamics before spontaneous onset of ventricular fibrillation in patients with healed myocardial infarcts. Am J Cardiol 1999; 83:880-884.
34. Tapanainen JM, Thomsen PE, Kober L, Torp-Pedersen C, Mäkikallio TH, Still AM, Lindgren KS, Huikuri HV. Fractal analysis of heart rate variability and mortality after an acute myocardial infarction. Am J Cardiol 2002; 90:347-352.
35. Jokinen V, Tapanainen JM, Seppänen T, Huikuri HV. Temporal changes and prognostic significance of measures of heart rate dynamics after acute myocardial infarction in the beta-blocking era. Am J Cardiol 2003; 92:907-912.
36. Ho KK, Moody GB, Peng CK, Mietus JE, Larson MG, Levy D, Goldberger AL. Predicting survival in heart failure case and control subjects by use of fully automated methods for deriving nonlinear and conventional indices of heart rate dynamics. Circulation 1997; 96:842-848.
37. Mäkikallio TH, Huikuri HV, Hintze U, Videbaek J, Mitrani RD, Castellanos A, Myerburg RJ, Moller M. Fractal analysis and time- and frequency-domain measures of heart rate variability as predictors of mortality in patients with heart failure. Am J Cardiol 2001; 87:178-182.
38. Mäkikallio TH, Huikuri HV, Mäkikallio A, Sourander LB, Mitrani RD, Castellanos A, Myerburg RJ. Prediction of sudden cardiac death by fractal analysis of heart rate variability in elderly subjects. J Am Coll Cardiol 2001; 37:1395-1402.
39. Vikman S, Mäkikallio TH, Yli-Mäyry S, Pikkujämsä S, Koivisto AM, Reinikainen P, Airaksinen KE, Huikuri HV. Altered complexity and correlation properties of RR interval dynamics before the spontaneous onset of paroxysmal atrial fibrillation. Circulation 1999; 100:2079-2084.
40. Huikuri HV, Poutiainen AM, Mäkikallio TH, Koistinen MJ, Airaksinen KE, Mitrani RD, Myerburg RJ, Castellanos A. Dynamic behavior and autonomic regulation of ectopic atrial pacemakers. Circulation 1999; 100:1416-1422.
41. Perkiömäki JS, Zareba W, Ruta J, Dubner S, Madoery C, Deedwania P, Karcz M, Bayes de Luna A, IDEAL investigators. Fractal and complexity measures of heart rate dynamics after acute myocardial infarction. Am J Cardiol 2001; 88:777-781.
42. Perkiömäki JS, Zareba W, Kalaria VG, Couderc J, Huikuri HV, Moss AJ. Comparability of nonlinear measures of heart rate variability between long- and short-term electrocardiographic recordings. Am J Cardiol 2001; 87:905-908.
43. Perkiömäki JS, Zareba W, Daubert JP, Couderc JP, Corsello A, Kremer K. Fractal correlation properties of heart rate dynamics and adverse events in patients with implantable cardioverter-defibrillators. Am J Cardiol 2001; 88:17-22.
44. Zareba W, Couderc JP, Perkiömäki JS, Berkowitzch A, Moss AJ. Heart rate variability and outcome in postinfarction patients with severe left ventricular dysfunction. Circulation 2003; 108(suppl):3209 (abstr).
45. Eckmann JP, Ruelle D. Ergodic theory of chaos and strange attractors. Rew Mod Physics 1985; 57:617-656.
46. Babyloyantz A, Destexhe A. Is the normal heart a periodic oscillator? Biol Cybern 1988; 58:203-211.
47. Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica 1983; 90:189-208.
48. Grassberger P, Procaccia I. Estimation of the Kolmogorov entropy from a chaotic signal. Phys Rew A 1983; 28:2591-2593.
49. Pincus SM, Viscarello RR. Approximate entropy: a regularity statistic for fetal heart rate analysis. Obstet Gynecol 1992; 79:249-255.
50. Pincus SM, Huang WM. Approximate entropy: statistical properties and applications. Commun Stat Theory Meth 1992; 21:3061-3077.
51. Kaplan DT, Furman MI, Pincus SM, Ryan SM, Lipsitz LA, Goldberger AL. Aging and the complexity of cardiovascular dynamics. Biophys J 1991; 59:945-949.
52. Tulppo MP, Mäkikallio TH, Takala TE, Seppänen T, Huikuri HV. Quantitative beat-to-beat analysis of heart rate dynamics during exercise. Am J Physiol 1996; 271:H244-H252.
53. Hogue CW Jr, Domitrovich PP, Stein PK, Despotis GD, Re L, Schuessler RB, Kleiger RE, Rottman JN. RR interval dynamics before atrial fibrillation in patients after coronary artery bypass graft surgery. Circulation 1998; 98:429-434.
54. Fleisher LA, Pincus SM, Rosenbaum SH. Approximate entropy of heart rate as a correlate of postoperative ventricular dysfunction. Anesthesiology 1993; 78:683-692.
55. Perkiömäki JS, Couderc JP, Daubert JP, Zareba W. Temporal complexity of repolarization and mortality in patients with implantable cardioverter defibrillators. Pacing Clin Electrophysiol 2003; 26:1931-1936.