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Mitigation of epidemics in contact networks through optimal contact adaptation
Heart rate variability as determinism with jump stochastic parameters
1. | 8 Clarkson AVE. P.O.5817, Potsdam, NY 13676, United States, United States, United States |
References:
[1] |
Katrin Suder, Friedhelm R. Drepper, Michael Schiek and Hans-Henning Abel, One-dimensional, nonlinear determinism characterizes heart rate pattern during paced respiration, Am. J. Phiciol Heart Circ. Physiol, 275 (1998), 1092-1102. |
[2] |
N. B. Janson, A. G. Balanov, V. S. Anishchenko and P. V. E. McClintock, Modelling the dynamics of angles of human R-R intervals, Physiol. Meas., 22 (2001), 565-579.
doi: 10.1088/0967-3334/22/3/313. |
[3] |
Yuo-Hsien Shiau, Shu-Shya Hseu and Huey-Wen Yien, One-dimensional deterministic process extracted from noisy R-R intervals under spontaneous breathing conditions, Journal of Medical and Biological Engineering, 26 (2001), 121-124. |
[4] |
T. Schreiber, Extremely simple nonlinear noise-reduction method, Phys. Rev. E, 47 (1993), 2401-2404.
doi: 10.1103/PhysRevE.47.2401. |
[5] |
Claudia Lerma, Trine Krogh-Madsen, Micheal Guevara and Leon Glass, Stochastic aspects of cardiac arrhymias, Journal Statistical Physics, 128 (2007), 347-374.
doi: 10.1007/s10955-006-9191-y. |
[6] |
Tom Kuusela, Tony Shepherd and Jarmo Hietarinta, Stochastic model for heart-rate fluctuations, Phys. Rev. E, 67 (2003), 061904.
doi: 10.1103/PhysRevE.67.061904. |
[7] |
Task Force of the European Socirty of Cariology and the North American Scirty of Pacing and Electrophysiology, Heart rate variability: Standards of measurement, physiological interpretation and clinical use, European Heart Journal, 17 (1996), 354-381. |
[8] |
M. Pomeranz, R. J. B. Macaulay and M. A. Caudill, Assessment of autonomic function in humans by heart rate spectral analysis, Am. J. Physiol, 248 (1985), H151-3. |
[9] |
M. Pagani, F. Lombardi and S. Guzzetti, et al., Power spetral analysis of heart rate and arterial pressure variablities as a marker of sympatho-vagal interaction in man and conscious dog, Circ. Res., 59 (1986), 178-193. |
[10] |
C-K. Peng, J. E. Mietus, Y. Liu, G. Khalsa, P. S. Douglas, H. Benson and A. L. Goldberger, Exaggerated heart rate oscillations during two meditation techniques, International Journal of Cardiology, 70 (1999), 101-107. |
[11] |
Leon Glass, Cardiac arrhythmias and circles maps-A classical problem, Chaos: An Interdisciplinary Journal of Nonlinear Science, 1 (1991), 13-19.
doi: 10.1063/1.165810. |
[12] |
Edward Ott, "Chaos in Dynamical Systems," First ed., Cambridge University Press., 1993. |
[13] |
Steven H. Strogatz, "Nonlinear Dynamics and Chaos, with Applications to Physics, Biology, Chemistry and Engineering," First ed., Westview Press., 1995.
doi: 10.1063/1.2807947. |
[14] |
Otakar Fojt and Jiri Holcik, Applying nonlinear dynamics to ECG signal processing, IEEE Engineering in Medicine and Biology., (1998).
doi: 10.1109/51.664037. |
[15] |
Joseph D. Skufca and Erik M. Bollt, A concept of homeomorphic defect for defining mostly conjugate dynamical systems, Chaos., 18 (2008), 013008.
doi: 10.1063/1.2837397. |
[16] |
T. Schreiber and A. Schmitz, Improved surrogate data for nonlinearity tests, Phys. Rev. Lett., 77 (1996), 635-638. |
[17] |
Holger Kantz and Thomas Schreiber, "Nonlinear Time Series Analysis," Second ed., Cambridge Press., 2004. |
show all references
References:
[1] |
Katrin Suder, Friedhelm R. Drepper, Michael Schiek and Hans-Henning Abel, One-dimensional, nonlinear determinism characterizes heart rate pattern during paced respiration, Am. J. Phiciol Heart Circ. Physiol, 275 (1998), 1092-1102. |
[2] |
N. B. Janson, A. G. Balanov, V. S. Anishchenko and P. V. E. McClintock, Modelling the dynamics of angles of human R-R intervals, Physiol. Meas., 22 (2001), 565-579.
doi: 10.1088/0967-3334/22/3/313. |
[3] |
Yuo-Hsien Shiau, Shu-Shya Hseu and Huey-Wen Yien, One-dimensional deterministic process extracted from noisy R-R intervals under spontaneous breathing conditions, Journal of Medical and Biological Engineering, 26 (2001), 121-124. |
[4] |
T. Schreiber, Extremely simple nonlinear noise-reduction method, Phys. Rev. E, 47 (1993), 2401-2404.
doi: 10.1103/PhysRevE.47.2401. |
[5] |
Claudia Lerma, Trine Krogh-Madsen, Micheal Guevara and Leon Glass, Stochastic aspects of cardiac arrhymias, Journal Statistical Physics, 128 (2007), 347-374.
doi: 10.1007/s10955-006-9191-y. |
[6] |
Tom Kuusela, Tony Shepherd and Jarmo Hietarinta, Stochastic model for heart-rate fluctuations, Phys. Rev. E, 67 (2003), 061904.
doi: 10.1103/PhysRevE.67.061904. |
[7] |
Task Force of the European Socirty of Cariology and the North American Scirty of Pacing and Electrophysiology, Heart rate variability: Standards of measurement, physiological interpretation and clinical use, European Heart Journal, 17 (1996), 354-381. |
[8] |
M. Pomeranz, R. J. B. Macaulay and M. A. Caudill, Assessment of autonomic function in humans by heart rate spectral analysis, Am. J. Physiol, 248 (1985), H151-3. |
[9] |
M. Pagani, F. Lombardi and S. Guzzetti, et al., Power spetral analysis of heart rate and arterial pressure variablities as a marker of sympatho-vagal interaction in man and conscious dog, Circ. Res., 59 (1986), 178-193. |
[10] |
C-K. Peng, J. E. Mietus, Y. Liu, G. Khalsa, P. S. Douglas, H. Benson and A. L. Goldberger, Exaggerated heart rate oscillations during two meditation techniques, International Journal of Cardiology, 70 (1999), 101-107. |
[11] |
Leon Glass, Cardiac arrhythmias and circles maps-A classical problem, Chaos: An Interdisciplinary Journal of Nonlinear Science, 1 (1991), 13-19.
doi: 10.1063/1.165810. |
[12] |
Edward Ott, "Chaos in Dynamical Systems," First ed., Cambridge University Press., 1993. |
[13] |
Steven H. Strogatz, "Nonlinear Dynamics and Chaos, with Applications to Physics, Biology, Chemistry and Engineering," First ed., Westview Press., 1995.
doi: 10.1063/1.2807947. |
[14] |
Otakar Fojt and Jiri Holcik, Applying nonlinear dynamics to ECG signal processing, IEEE Engineering in Medicine and Biology., (1998).
doi: 10.1109/51.664037. |
[15] |
Joseph D. Skufca and Erik M. Bollt, A concept of homeomorphic defect for defining mostly conjugate dynamical systems, Chaos., 18 (2008), 013008.
doi: 10.1063/1.2837397. |
[16] |
T. Schreiber and A. Schmitz, Improved surrogate data for nonlinearity tests, Phys. Rev. Lett., 77 (1996), 635-638. |
[17] |
Holger Kantz and Thomas Schreiber, "Nonlinear Time Series Analysis," Second ed., Cambridge Press., 2004. |
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