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Annals of Biomedical Engineering (297)
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Turcott, R. G., & Teich, M. C. (1996). Fractal character of the electrocardiogram: Distinguishing heart-failure and normal patients. Annals of Biomedical Engineering, 24(2), 269–293.

Authors 2
  1. Robert G. Turcott (first)
  2. Malvin C. Teich (additional)
References 68 Referenced 109
  1. Babloyantz, A., and A. Destexhe. Is the normal heart a periodic oscillator?Biol. Cybern. 58:203–211, 1988. (10.1007/BF00364139) / Biol. Cybern. by A. Babloyantz (1988)
  2. Barnes, J. A. and D. W. Allan. A statistical model of flicker noise.Proc. IEEE 54:176–178, 1966. (10.1109/PROC.1966.4630) / Proc. IEEE by J. A. Barnes (1966)
  3. Bassingthwaighte, J. B., L. S. Liebovitch, and B. J. West.Fractal Physiology, New York; American Physiological Society/Oxford, 1994, 364 pp. (10.1007/978-1-4614-7572-9) / Fractal Physiology by J. B. Bassingthwaighte (1994)
  4. Bassingthwaighte, J. B. and G. M. Raymond. Evaluating rescaled range analysis for time series.Ann. Biomed. Eng. 22:432–444, 1994. (10.1007/BF02368250) / Ann. Biomed. Eng. by J. B. Bassingthwaighte (1994)
  5. Berger, R. D., S. Akselrod, D. Gordon, and R. J. Cohen. An efficient algorithm for spectral analysis of heart rate variability.IEEE Trans. Biomed. Eng. BME-33:900–904, 1986. (10.1109/TBME.1986.325789) / IEEE Trans. Biomed. Eng. by R. D. Berger (1986)
  6. Bigger, J. T., Jr., J. L. Fleiss, R. C. Steinman, L. M. Rolnitzky, R. E. Kleiger, and J. N. Rottman. Frequency domain measures of heart period variability and mortality after myocardial infarction.Circulation 85:164–171, 1992. (10.1161/01.CIR.85.1.164) / Circulation by J. T. Bigger Jr. (1992)
  7. Cox, D. R. and P. A. W. Lewis.The Statistical Analysis of Series of Events. London: Methuen, 1966, 285 pp. (10.1007/978-94-011-7801-3) / The Statistical Analysis of Series of Events by D. R. Cox (1966)
  8. DeBoer, R. W., J. M. Karemaker, and J. Strackee. Comparing spectra of a series of point events particularly for heart rate variability data.IEEE Trans. Biomed. Eng. BME-31: 384–387, 1984. (10.1109/TBME.1984.325351) / IEEE Trans. Biomed. Eng. by R. W. DeBoer (1984)
  9. Ding, M., C. Grebogi, E. Ott, T. Sauer, and J. A. Yorke. Plateau onset for correlation dimension: when does it occur?Phys. Rev. Lett. 70:3872–3875, 1993. (10.1103/PhysRevLett.70.3872) / Phys. Rev. Lett. by M. Ding (1993)
  10. Fano, U. Ionization yield of radiations. II. The fluctuations of the number of ions.Phys. Rev. 72:26–29, 1947. (10.1103/PhysRev.72.26) / Phys. Rev. by U. Fano (1947)
  11. Feller, W. The asymptotic distribution of the range of sums of independent random variables.Ann. Math. Stat. 22:427–432, 1951. (10.1214/aoms/1177729589) / Ann. Math. Stat. by W. Feller (1951)
  12. Freeman, R., J. P. Saul, M. S. Roberts, R. D. Berger, C. Broadbridge, and R. J. Cohen. Spectral analysis of heart rate in diabetic autonomic neuropathy.Arch. Neurol. 48: 185–190, 1991. (10.1001/archneur.1991.00530140079020) / Arch. Neurol. by R. Freeman (1991)
  13. Garfinkel, A., M. L. Spano, W. L. Ditto, and J. N. Weiss. Controlling cardiac chaos.Science 257:1230–1235, 1992. (10.1126/science.1519060) / Science by A. Garfinkel (1992)
  14. Glass, L., A. Shrier, and J. Bélair. Chaotic cardiac rhythms. InChaos, edited by A. V. Holden. Princeton: Princeton University Press, 1986, pp. 237–256. (10.1515/9781400858156.237) / Chaos by L. Glass (1986)
  15. Goldberger, A. L., D. R. Rigney, J. Mietus, E. M., Antman, and S. Greenwald. Nonlinear dynamics in sudden cardiac death syndrome: heartrate oscillations and bifurcations.Experientia 44:983–987, 1988. (10.1007/BF01939894) / Experientia by A. L. Goldberger (1988)
  16. Goldberger, A. L., Nonlinear dynamics, fractals and chaos: applications to cardiac electrophysiology.Ann. Biomed. Eng. 18:195–198, 1990. (10.1007/BF02368429) / Ann. Biomed. Eng. by A. L. Goldberger (1990)
  17. Goldberger, A. L., D. R. Rigney, and B. J. West. Chaos and fractals in human physiology.Sci. Am. 262(2):42–49, 1990. (10.1038/scientificamerican0290-42) / Sci. Am. by A. L. Goldberger (1990)
  18. Grassberger, P. and I. Procaccia. Measuring the strangeness of strange attractors.Physica D 9:189–208, 1983. (10.1016/0167-2789(83)90298-1) / Physica D by P. Grassberger (1983)
  19. Grüneis, F., M. Nakao, Y. Mizutani, M. Yamamoto, M. Meesmann, and T. Musha. Further study of 1/f fluctuations observed in central single neurons during REM sleep.Biol. Cybern. 68:193–198, 1993. (10.1007/BF00224851) / Biol. Cybern by F. Grüneis (1993)
  20. Guevara, M. R. and A. Shrier. Rhythms produced by high-amplitude periodic stimulation of spontaneously beating aggregates of embryonic chick ventricular myocytes.Ann. N.Y. Acad. Sci. 591:11–22, 1990. (10.1111/j.1749-6632.1990.tb15077.x) / Ann. N.Y. Acad. Sci. by M. R. Guevara (1990)
  21. Guzzetti, S., E. Piccaluga, R. Casati, S. Cerutti, F. Lombardi, M. Pagani, and A. Malliani. Sympathetic predominance in essential hypertension: a study employing spectral analysis of heart rate variability.J. Hypertens. 6:711–717, 1988. (10.1097/00004872-198809000-00004) / J. Hypertens. by S. Guzzetti (1988)
  22. Haight, F. A.Handbook of the Poisson Distribution, New York: Wiley, 1967, 168 pp. / Handbook of the Poisson Distribution by F. A. Haight (1967)
  23. Hoop, B., H. Kazemi, and L. Liebovitch. Rescaled range analysis of resting respiration.Chaos 3:27–29, 1993. (10.1063/1.165976) / Chaos by B. Hoop (1993)
  24. Hurst, H. E.. Long-term storage capacity of reservoirs.Trans. Amer. Soc. Civil Eng. 116:770–808, 1951. (10.1061/TACEAT.0006518) / Trans. Amer. Soc. Civil Eng. by H. E. Hurst (1951)
  25. Hyndman, B. W. and R. K. Mohn. A pulse modulator model for pacemaker activity.Dig. 10th Int. Conf. Med. Biol. Eng. (Dresden, Germany), p. 223, 1973.
  26. Hyndman, B. W. and R. K. Mohn. Model of the cardiac pacemaker and its use in decoding the information content of cardiac intervals.Automedica 1:239–252, 1975. / Automedica by B. W. Hyndman (1975)
  27. Kanters, J. K., N.-H. Holstein-Rathlou, and E. Agner. Lack of evidence for low-dimensional chaos in heart rate variability.J Cardiovasc. Electrophysiol. 5:591–601, 1994. (10.1111/j.1540-8167.1994.tb01300.x) / J Cardiovasc. Electrophysiol. by J. K. Kanters (1994)
  28. Kaplan, D. T. and R. J. Cohen. Searching for chaos in fibrillation.Ann. N.Y. Acad. Sci. 591:367–374, 1990. (10.1111/j.1749-6632.1990.tb15101.x) / Ann. N.Y. Acad. Sci. by D. T. Kaplan (1990)
  29. Kluge, K. A., R. M. Harper, V. L. Schechtman, A. J. Wilson, H. J. Hoffman, and D. P. Southall. Spectral analysis assessment of respiratory sinus arrhythmia in normal infants and infants who subsequently died of sudden infant death syndrome.Pediatr. Res. 24:677–682, 1988. (10.1203/00006450-198812000-00005) / Pediatr. Res. by K. A. Kluge (1988)
  30. Kobayashi, M. and T. Musha, 1/f fluctuation of heartbeat period.IEEE Trans. Biomed. Eng. BME-29:456–457, 1982. (10.1109/TBME.1982.324972) / IEEE Trans. Biomed. Eng. by M. Kobayashi (1982)
  31. Liebovitch, L. S. Introduction to the properties and analysis of fractal objects, processes, and data. In:Advanced Methods of Physiological System Modeling, Vol. 2, edited by V. Z. Marmarelis. New York: Plenum Press, 1989, pp. 225–239. (10.1007/978-1-4613-9789-2_13) / Advanced Methods of Physiological System Modeling by L. S. Liebovitch (1989)
  32. Liebovitch, L. S. and T. Tóth. A fast algorithm to determine fractal dimensions by box counting.Phys. Lett. A 141:386–390, 1989. (10.1016/0375-9601(89)90854-2) / Phys. Lett. A by L. S. Liebovitch (1989)
  33. Lishner, M., S. Akselrod, V. Mor Avi, O. Oz, M. Divon, and M. Ravid. Spectral analysis of heart rate fluctuations. A non-invasive, sensitive method for the early diagnosis of autonomic neuropathy in diabetes mellitus.J. Auton. Nerv. Sys. 19:119–125, 1987. (10.1016/0165-1838(87)90005-1) / J. Auton. Nerv. Sys. by M. Lishner (1987)
  34. Lowen, S. B. and M. C. Teich. Estimation and simulation of fractal stochastic point processes.Fractals 3:183–210. 1995. (10.1142/S0218348X95000151) / Fractals by S. B. Lowen (1995)
  35. Lowen, S. B. and M. C. Teich. The periodogram and Allan variance reveal fractal exponents greater than unity in auditory-nerve spike trains.J. Acoust. Soc. Am. 99:in press, 1996. (10.1121/1.414979)
  36. Mandelbrot, B. B. and J. W. van Ness. Fractional brownian motions, fractional noises and applications.SIAM Rev. 10:422–437, 1968. (10.1137/1010093) / SIAM Rev. by B. B. Mandelbrot (1968)
  37. Meesmann, M., F. Grüneis, P. Flachenecker, and K.-D. Kniffki. A new method for analysis of heart rate variability: counting statistics of 1/f fluctuations.Biol. Cybern. 68:299–306, 1993. (10.1007/BF00201855) / Biol. Cybern. by M. Meesmann (1993)
  38. Moody, G. B. and R. G. Mark. Development and evaluation of a two-lead ECG analysis program.Proc. IEEE Comp. in Cardiol. Conf. 9:39–44, 1982. / Proc. IEEE Comp. in Cardiol. Conf. by G. B. Moody (1982)
  39. Osborne, A. R. and A. Provenzale. Finite correlation dimension for stochastic systems with power-law spectra.Physica D 35:357–381, 1989. (10.1016/0167-2789(89)90075-4) / Physica D by A. R. Osborne (1989)
  40. Papoulis, A.Probability Random Variables, and Stochastic Processes. 2nd Ed. New York: McGraw-Hill, 1984, 576 pp. / Probability Random Variables, and Stochastic Processes by A. Papoulis (1984)
  41. Peng, C.-K., J. Mietus, J. M. Hausdorff, S. Havlin, H. E., Stanley, and A. L. Goldberger. Long-range anticorrelations and non-Gaussian behavior of the heartbeat.Phys. Rev. Lett. 70:1343–1346, 1993. (10.1103/PhysRevLett.70.1343) / Phys. Rev. Lett. by C.-K. Peng (1993)
  42. Peng, C.-K., S. Havlin, H. E. Stanley, and A. L. Goldberger. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series.Chaos 5:82–87, 1995. (10.1063/1.166141) / Chaos by C.-K. Peng (1995)
  43. Powers, N. L., R. J. Salvi, and S. S. Saunders. Discharge rate fluctuations in the auditory nerve of the chinchilla. Abstracts of the XIV Midwinter Research Meeting, Assoc. for Res. in Otolaryngology, Des Moines, IA; D. J. Lim, Ed., Abstract No. 411, p. 129, 1991.
  44. Powers, N. L. and R. J. Salvi. Comparison of discharge rate fluctuations in the auditory nerve of chickens and chinchillas. Abstracts of the XV Midwinter Research Meeting, Assoc. for Res. in Otolaryngology, Des Moines, IA; D. J. Lim, Ed., Abstract No. 292, p. 101, 1992.
  45. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery.Numerical Recipes in C, 2nd Ed. Cambridge, U.K.: Cambridge University Press 1992, 994 pp. / Numerical Recipes in C by W. H. Press (1992)
  46. Ravelli, F. and R. Antolini. Complex dynamics underlying the human electrocardiogram.Biol. Cybern. 67:57–65. 1992. (10.1007/BF00201802) / Biol. Cybern. by F. Ravelli (1992)
  47. Ricciardi, L. M. and F. Esposito. On some distribution functions for non-linear switching elements with finite dead time.Kybernetik (Biol. Cybern.) 3:148–152, 1966. (10.1007/BF00288925) / Kybernetik (Biol. Cybern.) by L. M. Ricciardi (1966)
  48. Rompelman, O., J. B. I. M. Snijders, and C. J. van Spronsen. The measurement of heart rate variability spectra with the help of a personal computer.IEEE Trans. Biomed. Eng. BME-29:503–510, 1982. (10.1109/TBME.1982.324922) / IEEE Trans. Biomed. Eng. by O. Rompelman (1982)
  49. Saul, J. P., P. Albrecht, R. D. Berger, and R. J. Cohen. Analysis of long term heart rate variability: methods, 1/f scaling and implications.Proc. IEEE Comput. in Cardiol. Conf. 14:419–422, 1988. / Proc. IEEE Comput. in Cardiol. Conf. by J. P. Saul (1988)
  50. Scharf, R., M. Meesmann, J. Boese, D. R. Chialvo, and K.-D. Kniffki. General relation between variance-time curve and power spectral density for point processes exhibiting 1/f β-fluctuations, with special reference to heart rate variability.Biol. Cybern. 73:255–263, 1995. (10.1007/BF00201427) / Biol. Cybern. by R. Scharf (1995)
  51. Schepers, H. E., J. H. G. M. van Beek, and J. B. Bassingthwaighte. Four methods to estimate the fractal dimension from self-affine signals.IEEE Eng. Med. Biol. Mag. 11:57–71, 1992. (10.1109/51.139038) / IEEE Eng. Med. Biol. Mag. by H. E. Schepers (1992)
  52. Schiff, S. J. and T. Chang. Differentiation of linearly correlated noise from chaos in a biologic system using surrogate data.Biol. Cybern. 67:387–393, 1992. (10.1007/BF00200982) / Biol. Cybern. by S. J. Schiff (1992)
  53. Shono, H., M. Yamasaki, M. Muro, M. Oga, Y. Ito, K. Shimomura, and H. Sugimori Chaos and fractals with 1/f spectrum below 10−2 Hz demonstrates full-term fetal heart rate changes during active phase.Early Human Dev. 27: 111–117, 1991. (10.1016/0378-3782(91)90032-X) / Early Human Dev. by H. Shono (1991)
  54. Teich, M. C. and S. M. Khanna Pulse-number distribution for the neural spike train in the cat's auditory nerve.J. Acoust. Soc. Am. 77:1110–1128, 1985. (10.1121/1.392176) / J. Acoust. Soc. Am. by M. C. Teich (1985)
  55. Teich, M. C. Fractal character of the auditory neural spike train.IEEE Trans. Biomed. Eng 36:150–160, 1989. (10.1109/10.16460) / IEEE Trans. Biomed. Eng by M. C. Teich (1989)
  56. Teich, M. C. Fractal neuronal firing patterns. In:Single Neuron Computation, edited by T. McKenna, J. Davis, and S. Zornetzer. Boston: Academic Press, 1992, pp. 589–625. (10.1016/B978-0-12-484815-3.50031-1) / Single Neuron Computation by M. C. Teich (1992)
  57. Teich, M. C. and S. B. Lowen. Fractal patterns in auditory nerve-spike trains.IEEE Eng. Med. Biol. Mag. 12:197–202, 1994. (10.1109/51.281678) / IEEE Eng. Med. Biol. Mag. by M. C. Teich (1994)
  58. Teich, M. C., C. Heneghan, S. B. Lowen, and R. G. Turcott. Estimating the fractal exponent of point processes in biological systems using wavelet- and Fourier-transform methods. In:Wavelets in Medicine and Biology edited by A. Aldroubi and M. Unser. Boca Raton, FL: CRC Press. 1996. / Wavelets in Medicine and Biology by M. C. Teich (1996)
  59. Teich, M. C., R. G. Turcott, and R. M. Siegel, Variability and long-duration correlation in the sequence of action potentials in cat striate-cortex neurons.IEEE Eng. Biol. Med. Mag. 14: in press 1996.
  60. Theiler, J. Estimating fractal dimensionJ. Opt. Soc. Am. A 7:1055–1073, 1990. (10.1364/JOSAA.7.001055) / J. Opt. Soc. Am. A by J. Theiler (1990)
  61. Theiler, J., S. Eubank, A. Longtin, B. Galdrikian, and J. D. Farmer. Testing for nonlinearity in time series: the method of surrogate data.Physica D 58:77–94, 1992. (10.1016/0167-2789(92)90102-S) / Physica D by J. Theiler (1992)
  62. Tuckwell H. C.:Stochastic Processes in the Neurosciences. Philadelphia: Society for Industrial and Applied Mathematics, Philadelphia. 1989, 129 pp. (10.1137/1.9781611970159) / Stochastic Processes in the Neurosciences by H. C. Tuckwell (1989)
  63. Turcott, R. G. and M. C. Teich. Long-duration correlation and attractor topology of the heartbeat rate differ for normal patients and those with heart failure.Proc. SPIE (Chaos in Biology and Medicine) 2036:22–39, 1993. (10.1117/12.162728) / Proc. SPIE (Chaos in Biology and Medicine) by R. G. Turcott (1993)
  64. Turcott, R. G., P. D. R. Barker, and M. C. Teich. Long-duration correlation in the sequence of action potentials in an insect visual interneuron.J. Statist. Comput. Simul. 52: 253–271, 1995. (10.1080/00949659508811677) / J. Statist. Comput. Simul. by R. G. Turcott (1995)
  65. West, B. J. and W. Deering. Fractal physiology for physicists: Lévy statistics.Physics Reports 246:1–100, 1994. (10.1016/0370-1573(94)00055-7) / Physics Reports by B. J. West (1994)
  66. Witkowski, F. X., K. M. Kavanagh, P. A. Penkoske, R. Plonsey, M. L. Spano, W. L. Ditto, and D. T. Kaplan. Evidence for determinism in ventricular fibrillation.Phys. Rev. Lett. 75:1230–1233, 1995. (10.1103/PhysRevLett.75.1230) / Phys. Rev. Lett. by F. X. Witkowski (1995)
  67. Wolf, A., J. B. Swift, H. L. Swinney, and J. A. Vastano. Determining Lyapunov exponents from a time series.Physica D 16:285–317, 1985. (10.1016/0167-2789(85)90011-9) / Physica D by A. Wolf (1985)
  68. Zbilut, J. P., G. Mayer-Kress, P. A. Sobotka, M. O'Toole, and J. X. Thomas, Jr. Bifurcations and intrinsic chaotic and 1/f dynamics in an isolated perfused rat heart.Biol. Cybern. 61:371–378, 1989. (10.1007/BF00200802) / Biol. Cybern. by J. P. Zbilut (1989)
Dates
Type When
Created 18 years, 1 month ago (July 16, 2007, 5:46 p.m.)
Deposited 4 years ago (Aug. 19, 2021, 11:23 a.m.)
Indexed 2 months, 3 weeks ago (June 15, 2025, 2:21 p.m.)
Issued 29 years, 6 months ago (March 1, 1996)
Published 29 years, 6 months ago (March 1, 1996)
Published Print 29 years, 6 months ago (March 1, 1996)
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@article{Turcott_1996, title={Fractal character of the electrocardiogram: Distinguishing heart-failure and normal patients}, volume={24}, ISSN={1573-9686}, url={http://dx.doi.org/10.1007/bf02667355}, DOI={10.1007/bf02667355}, number={2}, journal={Annals of Biomedical Engineering}, publisher={Springer Science and Business Media LLC}, author={Turcott, Robert G. and Teich, Malvin C.}, year={1996}, month=mar, pages={269–293} }