The Correlation Dimension of heart rate variability reflects cardiac autonomic activity

Annals of Noninvasive Electrocardiology

Volumn 2, Issue 3, 1997, Pages 206-214

  Kamen, Peter Walter ^a,b   Krum, Henry ^a   Tonkin, Andrew Maxwell ^a  

^a AUSTIN HEALTH   (Australia)

^b ARMC ^*  (Australia)

Author keywords

Autonomic nervous system; Correlation dimension; Heart rate variability

Indexed keywords

SCOPOLAMINE;

ADULT; ANALYTIC METHOD; ARTICLE; AUTONOMIC NERVOUS SYSTEM FUNCTION; CHOLINERGIC SYSTEM; DATA ANALYSIS; FEMALE; HEART AUTOMATICITY; HEART RATE VARIABILITY; HISTOGRAM; HUMAN; HUMAN EXPERIMENT; MALE; METHODOLOGY; NORMAL HUMAN; PRIORITY JOURNAL; REGRESSION ANALYSIS; SYMPATHETIC NERVE;

EID: 0030807638     PISSN: 1082720X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1542-474X.1997.tb00328.x     Document Type: Article

References (44)

1. Jose AD. Effect of combined sympathetic and parasympathetic blockade on heart rate and cardiac function in man. Am J Cardiol 1966; 18:476-478.
2. Kamen PW, Krum H, Tonkin AM. Poincaré plot of heart rate variability allows quantitative display of parasympathetic nervous activity in humans. Clin Sci 1996; 91:201-208.
3. Goldsmith RL, Bloomfield D, Rottman J, et al. Heart rate variability: Disagreement on the markers of sympathetic and parasympathetic activities. Reply. J Am Coll Cardiol 1993; 22:951-953.
4. Mansier P, Clairambault J, Charlotte N, et al. Linear and non-linear analyses of heart rate variability: A minireview. Cardiovasc Res 1996; 31:371-379.
5. Stein PK, Bosner MS, Kleiger RE, et al. Heart rate variability: A measure of cardiac autonomic tone. Am Heart J 1994; 127:1376-1381.
6. Pincus S. Approximate entropy as a measure of system complexity. Proc Natl Acad Sci USA 1991; 88:2297-2301.
7. Eckmann JP, Kamphorst SO, Ruelle D, et al. Liapunov exponents from time series. Phys Rev A 1986; 34:4971-4979.
8. Farmer JD, Ott E, Yorke JA. The dimension of chaotic attractors. Physica 1983; 7D:153-180.
9. Cox DR, Lewis PAW. The Statistical Analysis of Series of Events. Chapman and Hall, London, 1966.
10. Hagerman I, Berglund M, Lorin M, et al. Chaos-related deterministic regulation of heart rate variability in time and frequency domains: Effects of autonomic blockade and exercise. Cardiovasc Res 1996; 31:410-418.
11. Chialvo DR, Gilmour RF Jr, Jalife J. Low dimensional chaos in cardiac tissue. Nature 1990; 343:653-657.
12. Woo MA, Stevenson WG, Moser DK, et al. Patterns of beat-to-beat heart rate variability in advanced heart failure. Am Heart J 1992; 123:704-710.
13. Anan T, Sunagawa K, Araki H, et al. Arrhythmia analysis by successive RR plotting. J Electrocardiol 1990; 23:243-248.
14. Kamen PW, Tonkin AM. Heart rate Poincaré plots in heart failure: Reply. Aust N Z J Med 1995; 25:372-373.
15. Myers G, Workman M, Birkett C, et al. Problems in measuring heart rate variability of patients with congestive heart failure. J Electrocardiol 1992; 25:214-219.
16. Ruelle D. Strange attractors. The Mathematical Intelligencer 1980;2:126-137.
17. Skinner JE, Carpeggiani C, Landisman E, et al. Correlation dimension of heartbeat intervals is reduced in conscious pigs by myocardial ischaemia. Circ Res 1991;68:966-976.
18. Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica 1983;9D:189-208.
19. Judd K. Estimating dimension from small samples. Physica 1994; 71D:421-429.
20. Novak V, Novak P, de Champlain J, et al. Influence of respiration on heart rate and blood pressure fluctuations. J Appl Physiol 1993; 74:617-626.
21. Vybiral T, Bryg RJ, Maddens ME, et al. Effect of passive tilt on sympathetic and parasympathetic components of heart rate variability in normal subjects. Am J Cardiol 1989; 63:1117-1120.
22. Hayano J, Sakakibara Y, Yamada A, et al. Accuracy of assessment of cardiac vagal tone by heart rate variability in normal subjects. Am J Cardiol 1991; 67:199-204.
23. La Rovere MT, Mortara A, Pantaleo P, et al. Scopolamine improves autonomic balance in advanced congestive heart failure. Circulation 1994; 90:838-843.
24. Judd K. An improved estimator of dimension and some comments on providing confidence intervals. Physica 1992; 56D:216-228.
25. Kamen PW, Tonkin AM. Application of the Poincaré plot to heart rate variability: A new measure of functional status in heart failure. Aust N Z J Med 1995; 25:18-26.
26. Womack BF. The analysis of respiratory sinus arrhythmia using spectral analysis methods. IEEE Trans Biomed Eng 1964; 18:399.
27. Sayers BM. Analysis of heart rate variability. Ergonomics 1973; 16:17-32.
28. Butler GC, Yamamoto Y, Hughson RL. Fractal nature of short-term systolic BP and HR variability during lower body negative pressure. Am J Physiol 1994;267:R26-R33.
29. Fleisher LA, Pincus SM, Rosenbaum SH. Approximate entropy of heart rate as a correlate of postoperative ventricular dysfunction. Anesthesiology 1993; 78:683-692.
30. Butler GC, Yamamoto Y, Hughson RL. Heart rate v ariability to monitor autonomic nervous system activity during orthostatic stress. J Clin Pharmacol 1994; 34:558-562.
31. Osaka M, Saitoh H, Atarashi H, et al. Correlation dimension of heart rate variability: A new index of human autonomic function. Front Med Biol Eng 1993; 5:289-300.
32. Van Leeuwen P, Bettermann H, An Der Heiden U, et al. Circadian aspects of apparent correlation dimension in human heart rate dynamics. Am J Physiol 1995; 296:H130-H134.
33. Goldberger AL. Non-linear dynamics for clinicians: Chaos theory, fractals, and complexity at the bedside. Lancet 1996; 347:1312-1314.
34. Lipsitz LA, Goldberger AL. Loss of 'complexity' and aging. Potential applications of fractals and chaos theory to senescence. JAMA 1992; 267:1806-1809.
35. Levy MN, Zieske H. Autonomic control of cardiac pacemaker activity and atrioventricular transmission. J Appl Physiol 1969; 27(4):465-470.
36. Yang T, Levy MN. The phase-dependency of the cardiac chronotropic responses to vagal stimulation as a factor in sympathetic-vagal interactions. Circ Res 1984; 54:703-710.
37. Dexter F, Yang T, Levy MN. Analysis of vagally induced sinus arrhythmias. J Theor Biol 1992; 159:507-511 .
38. Glass L, Goldberger AL, Courtemanche M, et al. Nonlinear dynamics, chaos, and complex cardiac arrhythmias. Proc Royal Soc Lond 1987; 413:9-26.
39. 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.
40. Woo MA, Stevenson WG, Moser DK, et al. Complex heart rate variability and serum norepinephrine levels in patients with advanced heart failure. J Am Coll Cardiol 1994; 23: 565-569.
41. Glass L, Guevara MR, Perez R. Bifurcation and chaos in a periodically stimulated cardiac oscillator. Physica 1983; 7D: 89-101.
42. Huang ZS, Gebber GL, Zhong S, et al. Forced osciliations in sympathetic nerve discharge. Am J Physiol 1992; 263: R564-R571.
43. Gebber GL, Barman SM. A physiologically-based model of the brain stem generator of sympathetic nerve discharge. Prog Brain Res 1989; 81:131-139.
44. Jaffe RS, Fung DL, Behrman KH. Optimal frequency ranges for extracting information on autonomic activity from the heart rate spectrogram. J Auton Nerv Syst 1994; 46:37-46.