메뉴 건너뛰기




Volumn 60, Issue 1, 1999, Pages 857-870

Synchronization in the human cardiorespiratory system

Author keywords

[No Author keywords available]

Indexed keywords

CARDIOVASCULAR SYSTEM; HUMAN; OSCILLOMETRY; RESPIRATORY SYSTEM; STATISTICAL MODEL; TIME;

EID: 0033167720     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.857     Document Type: Article
Times cited : (320)

References (72)
  • 1
    • 85036146066 scopus 로고    scopus 로고
    • A. Andronov, A. Vitt, and S. Khaykin, Theory of Oscillations (Gostekhizdat, Moscow, 1937) (in Russian), (Pergamon Press, Oxford, 1966) (in English);
    • A. Andronov, A. Vitt, and S. Khaykin, Theory of Oscillations (Gostekhizdat, Moscow, 1937) (in Russian), (Pergamon Press, Oxford, 1966) (in English)
  • 4
    • 85036250885 scopus 로고    scopus 로고
    • I. I. Blekhman, Synchronization of Dynamical Systems (Nauka, Moscow, 1971) (in Russian);, I. I. Blekhman, Synchronization in Science and Technology (Nauka, Moscow, 1981) (in Russian), (ASME Press, New York, 1988) (in English)
    • I. I. Blekhman, Synchronization of Dynamical Systems (Nauka, Moscow, 1971) (in Russian);I. I. Blekhman, Synchronization in Science and Technology (Nauka, Moscow, 1981) (in Russian), (ASME Press, New York, 1988) (in English).
  • 12
    • 0001660652 scopus 로고
    • J. Sturis , Chaos 5, 193 (1995).
    • (1995) Chaos , vol.5 , pp. 193
    • Sturis, J.1
  • 21
    • 0041616561 scopus 로고
    • H. Haken, H. Koepchen, Springer Series in Synergetics Vol. 55, Springer, Berlin
    • H. Koepchen, in Rhythms in Physiological Systems, edited by H. Haken and H. Koepchen, Springer Series in Synergetics Vol. 55 (Springer, Berlin, 1991), pp. 3–20.
    • (1991) Rhythms in Physiological Systems , pp. 3-20
    • Koepchen, H.1
  • 26
    • 85036325183 scopus 로고    scopus 로고
    • F. Raschke, in Temporal Disorder in Human Oscillatory Systems, edited by L. Rensing, U. an der Heiden, and M. Mackey, Springer Series in Synergetics Vol. 36 (Springer-Verlag, Berlin, 1987), pp. 152–158
    • F. Raschke, in Temporal Disorder in Human Oscillatory Systems, edited by L. Rensing, U. an der Heiden, and M. Mackey, Springer Series in Synergetics Vol. 36 (Springer-Verlag, Berlin, 1987), pp. 152–158.
  • 28
    • 0003711946 scopus 로고    scopus 로고
    • H. Kantz, J. Kurths, G. Mayer-Kress, Springer, Berlin
    • M. Schiek , in Nonlinear Analysis of Physiological Data, edited by H. Kantz, J. Kurths, and G. Mayer-Kress (Springer, Berlin, 1998), pp. 191–209.
    • (1998) Nonlinear Analysis of Physiological Data , pp. 191-209
    • Schiek, M.1
  • 30
    • 85036265639 scopus 로고    scopus 로고
    • H. Seidel, Ph.D. thesis, TU Berlin, 1998
    • H. Seidel, Ph.D. thesis, TU Berlin, 1998.
  • 41
    • 85036410414 scopus 로고    scopus 로고
    • We note that sometimes definition (1) is understood in a very narrow sense (Formula presented) that is only valid for quasiharmonic oscillations and excludes, e.g., the obvious case of synchronization of two relaxational oscillators and other nontrivial phenomena
    • We note that sometimes definition (1) is understood in a very narrow sense (Formula presented) that is only valid for quasiharmonic oscillations and excludes, e.g., the obvious case of synchronization of two relaxational oscillators and other nontrivial phenomena.
  • 42
    • 85036306231 scopus 로고    scopus 로고
    • P. S. Landa, Self-Oscillations in Systems with Finite Number of Degrees of Freedom (Nauka, Moscow, 1980) (in Russian)
    • P. S. Landa, Self-Oscillations in Systems with Finite Number of Degrees of Freedom (Nauka, Moscow, 1980) (in Russian).
  • 43
    • 0004282750 scopus 로고    scopus 로고
    • L. Schimansky-Geier, T. Pöschel, Lecture Notes in Physics Vol. 484, Springer, Berlin
    • M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, in Stochastic Dynamics, edited by L. Schimansky-Geier and T. Pöschel, Lecture Notes in Physics Vol. 484 (Springer, Berlin, 1997), pp. 233–244.
    • (1997) Stochastic Dynamics , pp. 233-244
    • Rosenblum, M.G.1    Pikovsky, A.S.2    Kurths, J.3
  • 45
    • 85036403324 scopus 로고    scopus 로고
    • The phase of a chaotic oscillator can be determined by means of three different approaches, see 16. Suppose we can define a Poincaré map for the autonomous continuous-time system. Then, we define the phase proportional to time between two cross sections with the Poincaré surface so that the phase increment is 2π at each rotation, (Formula presented) and (Formula presented) where (Formula presented) is the time of the (Formula presented) crossing of the secant surface. Quite often it is possible to find such a projection of a strange attractor that the phase portrait looks like rotations around some origin. In this case the phase can be determined as the angle between the projection of the phase point on the plane and a given direction on the plane. Finally, the phase of a properly chosen oscillatory observable computed via Hilbert transform, can be taken as the phase of the chaotic oscillator. Note that although the phases determined by different techniques often do not coincide microscopically, i.e., on a time scale less than the average period of oscillation, they have equal average growth rates. In other words, the mean frequencies defined as the average of (Formula presented) over a large period of time, coincide
    • The phase of a chaotic oscillator can be determined by means of three different approaches, see 16. Suppose we can define a Poincaré map for the autonomous continuous-time system. Then, we define the phase proportional to time between two cross sections with the Poincaré surface so that the phase increment is 2π at each rotation, (Formula presented) and (Formula presented) where (Formula presented) is the time of the (Formula presented) crossing of the secant surface. Quite often it is possible to find such a projection of a strange attractor that the phase portrait looks like rotations around some origin. In this case the phase can be determined as the angle between the projection of the phase point on the plane and a given direction on the plane. Finally, the phase of a properly chosen oscillatory observable computed via Hilbert transform, can be taken as the phase of the chaotic oscillator. Note that although the phases determined by different techniques often do not coincide microscopically, i.e., on a time scale less than the average period of oscillation, they have equal average growth rates. In other words, the mean frequencies defined as the average of (Formula presented) over a large period of time, coincide.
  • 46
    • 85036288537 scopus 로고    scopus 로고
    • Indeed, the heart rate is always several times larger than the frequency of respiration; therefore, the choice of the frequency ratio (Formula presented) for the purposes of illustration is reasonable; this is confirmed by experimental results presented in Sec. V
    • Indeed, the heart rate is always several times larger than the frequency of respiration; therefore, the choice of the frequency ratio (Formula presented) for the purposes of illustration is reasonable; this is confirmed by experimental results presented in Sec. V.
  • 48
    • 85036295412 scopus 로고    scopus 로고
    • C. Schäfer, Ph.D. thesis, Potsdam University, 1998
    • C. Schäfer, Ph.D. thesis, Potsdam University, 1998.
  • 57
    • 0030848077 scopus 로고    scopus 로고
    • This observation was made by T. G. Anishchenko (private communication). This fact might be explained by age and gender differences in heart rate variability. Indeed, for young persons the latter is more pronounced in women, see K. Jensen-Urstad , Acta Physiol. Scand. 160, 235 (1997)
    • (1997) Acta Physiol. Scand. , vol.160 , pp. 235
    • Jensen-Urstad, K.1
  • 59
    • 0022155540 scopus 로고
    • due to the reduced sympathetic influence that is known to decrease the heart rate variability, see
    • due to the reduced sympathetic influence that is known to decrease the heart rate variability, see Yu. A. Khramov and B. P. Veber, Fiziol. Chel. 11, 911 (1985)
    • (1985) Fiziol. Chel. , vol.11 , pp. 911
    • Khramov, Yu.A.1    Veber, B.P.2
  • 65
    • 85036317477 scopus 로고    scopus 로고
    • M. F. Dimentberg, Nonlinear Stochastic Problems of Mechanical Oscillations (Nauka, Moscow, 1980) (in Russian);
    • M. F. Dimentberg, Nonlinear Stochastic Problems of Mechanical Oscillations (Nauka, Moscow, 1980) (in Russian)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.