Fractal organization of the pointwise correlation dimension of the heart rate

Medical Hypotheses

Volumn 51, Issue 5, 1998, Pages 367-376

  Nahshoni, E ^a,b,d   Adler, E ^b,c   Laniado, S ^b,c   Keren, G ^b,c  

^a GEHA MENTAL HEALTH CENTER   (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

^c TEL AVIV SOURASKY MEDICAL CENTER   (Israel)

^d NONE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ALGORITHM; ARTICLE; CARDIOVASCULAR FUNCTION; FEMALE; FRACTAL ANALYSIS; HEART RATE VARIABILITY; HUMAN; HUMAN EXPERIMENT; MALE; NORMAL HUMAN; PRIORITY JOURNAL; R WAVE; STATISTICAL ANALYSIS;

EID: 0031766160     PISSN: 03069877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0306-9877(98)90030-5     Document Type: Article

References (33)

1. Appel M L, Berger R D, Saul J P, Smith J M, Cohen R J. Beat to beat variability in cardiovascular variables: noise or music? J Am Coll Cardiol 1989; 14: 1139-1148.
2. Malliani A, Pagani M, Lombardi F, Cerutti S. Cardiovascular neural regulation explored in the frequency domain. Circulation 1992; 84: 482-492.
3. Malliani A, Pagani M, Lombardi F. Physiology and clinical implications of variability of cardiovascular parameters with focus on heart rate and blood pressure. Am J Cardiol 1994; 73: 3C-9C.
4. Akselrod S, Gordon D, Ubel F A, Shannon D C, Barger A C, Cohen R J. Power spectrum analysis of heart rate fluctuations: a quantitative probe of beat-to-beat cardiovascular control. Science 1981; 213: 220-222.
5. Saul J P, Arai Y, Breger R D, Lilly L S, Colucci W S, Cohen R J. Assessment of autonomic regulation in chronic congestive heart failure by heart rate spectral analysis. Am J Cardiol 1988; 61: 1292-1299.
6. Pomeranz B, Macaulay R J B, Caudill M A et al. Assessment of autonomic function in humans by heart rate spectral analysis. Am J Physiol 1985; 248 (Heart Circ Physiol 17): H151-H153.
7. Madwed J B, Snads K E F, Saul J P, Cojen R J. Spectral analysis of beat-to-beat variability in HR and ABP during hemorrhage and aortic constriction. In: Lown B, Malliani A, Prodocimi M, eds. Neural Mechanisms and Cardiovascular Disease. Fidia Research Series. Padova: Liviana Press, 1986, Vol. 5: 291-301.
8. Takase B, Kurita A, Noritake M et al. Heart rate variability in patients with diabetes mellitus, ischemic heart disease, and congestive heart failure. J Electrocardiol 1992; 25: 79-88.
9. Kleiger R E, Miller J P, Bigger J T, Moss A J, and the Multicenter Post-infarction Research Group. Decreased heart rate variability and its association with increased mortality after acute myocardial infarction. Am J Cardiol 1987; 59: 256-262.
10. Ott E. Chaos in Dynamical Systems. Cambridge: Cambridge University Press, 1993.
11. Olsen L F, Degn H. Chaos in biological systems. Quarterly Rev Biophys 1985; 10(2): 165-221.
12. Goldberger A L, Rigney D R, West B J. Chaos and fractals in human physiology. Sci Am 1990; 262: 42-49.
13. Goldberger A L, West B J. Fractals in physiology and medicine. Yale J Biol Med 1987; 60: 421-435.
14. Goldberger A L. Nonlinear dynamics, fractals and chaos: applications to cardiac electrophysiology. Ann Biomed Eng 1990; 18: 195-198.
15. Lipsitz L A. Age-related changes in the 'complexity' of cardiovascular dynamics: a potential marker of vulnerability to disease. Chaos 1995; 5(1): 102-109.
16. Kobayashi M, Musha T. 1/f fluctuation of heartbeat period. IEEE Trans Biomed Eng 1982; 29: 456-457.
17. Babloyantz A, Destexhe A. Is the normal heart a periodic oscillator. Biol Cybernetics 1988; 58: 203-211.
18. Rigney D R, Mielus J E, Goldberger A L. Is normal sinus rhythm 'chaotic'? measurement of Lyapunov exponents. Circulation 1990; 82(4) Suppl. III, abstr.
19. Kanters J K, Holstein-Rathlou N-H, Agner E. Lack of evidence for low-dimensional chaos in heart rate variability. J Cardiovasc Electrophysiol 1994; 5: 591-601.
20. Zbilut J P, Mayer-Kress G, Giest K. Dimensional analysis of heart rate transplant recipients. Math Biosci 1988; 90: 40-70.
21. Mayer-Kress G, Yates FE, Benton L et al. Dimensional analysis of nonlinear oscillations in brain, heart, and muscle. Math Biosci 1988; 90: 155-182.
22. Skinner J E, Pratt C M, Vybrial T. A reduction in the correlation dimension heartbeat intervals precedes imminent ventricular fibrillation in human subjects. Am Heart J 1993; 125: 731-743.
23. Rand D, Young L-S, eds. Detecting strange attractors in fluid turbulence. In: Dynamical Systems and Turbulence. Berlin: Springer-Verlag, 1981.
24. Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica 1983; 9D: 183-208.
25. Glenny R W, Robertson H T, Yamashiro S, Bassinghwaighte. Applications of fractal analysis to physiology. J Appl Physiol 1991; 70(6): 2351-2367.
26. Mandelbrot B B. The Fractal Geometry of Nature. San Francisco: W H Freeman, 1982.
27. West B J. Fractal Physiology and Chaos in Medicine. New Jersey: World Scientific, 1990.
28. Ravelli F, Andolini R. Complex dynamics underlying the human electrocardiogram. Biol Cyb 1992: 67; 57.
29. Kantz H, Schreiber T. Dimension estimates and physiological data. Chaos 1995; 5(1): 143-154.
30. Schreiber T, Kantz H. Noise in chaotic data: diagnosis and treatment. Chaos 1995; 5(1): 133-142 .
31. Skinner J E, Carpeggiani C, Landisman C E, Fulton K W. Correlation dimension of heartbeat intervals is reduced in conscious pigs by myocardial ischemia. Circulation Res 1991; 68: 966-976.
32. Kaplan D T, Furman M I, Pincus S M, Ryan S M, Lipsitz L A. Aging and the complexity of cardiovascular dynamics. Bioph J 1991; 59: 945-949.
33. Lipsitz L A, Goldberger A L. Loss of 'complexity' and aging. J Am Med Assoc 1992; 267: 1806-1809.