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    Rights statement: Copyright 2003 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 665, 2003 and may be found at http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.1584913

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Cardiovascular dynamics - multiple time scales, oscillations and noise

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Cardiovascular dynamics - multiple time scales, oscillations and noise. / Stefanovska, Aneta; Bandrivskyy, A.; McClintock, Peter V. E.
In: AIP Conference Proceedings, Vol. 665, 2003, p. 392-399.

Research output: Contribution to Journal/MagazineJournal article

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Stefanovska A, Bandrivskyy A, McClintock PVE. Cardiovascular dynamics - multiple time scales, oscillations and noise. AIP Conference Proceedings. 2003;665:392-399. doi: 10.1063/1.1584913

Author

Stefanovska, Aneta ; Bandrivskyy, A. ; McClintock, Peter V. E. / Cardiovascular dynamics - multiple time scales, oscillations and noise. In: AIP Conference Proceedings. 2003 ; Vol. 665. pp. 392-399.

Bibtex

@article{4d71d2bbfb164513affa5aa8179218eb,
title = "Cardiovascular dynamics - multiple time scales, oscillations and noise",
abstract = "Modelling the cardiovascular system (CVS) presents a challenging and important problem. The CVS is a complex dynamical system that is vital to the function of the human organism, and it reflects numerous different states of health and disease. Its complexity lies in a combination of oscillatory modes spanning a wide frequency scale that can synchronize for short episodes of time, coupled with a strong stochastic contribution. Motivated by these properties, we discuss the problem of characterising dynamics when there is a combination of oscillatory components in the presence of strong noise and, in particular, where the characteristic frequencies and corresponding amplitudes vary in time. We show that, where there are several noisy oscillatory modes, the slower modes are difficult to characterise because the length of the recorded time series is inevitably limited in real measurements. We argue that, in the case of strong noise combined with a limited observation time, such oscillatory dynamics with several modes may appear to manifest as a 1/f‐like behaviour. We also show that methods of time‐frequency analysis can provide a basis for characterising noisy oscillations, but that a straightforward characterisation of multi‐scale oscillatory dynamics in the presence of strong noise still remains an unsolved problem.",
author = "Aneta Stefanovska and A. Bandrivskyy and McClintock, {Peter V. E.}",
note = "Copyright 2003 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 665, 2003 and may be found at http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.1584913",
year = "2003",
doi = "10.1063/1.1584913",
language = "English",
volume = "665",
pages = "392--399",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics Publising LLC",

}

RIS

TY - JOUR

T1 - Cardiovascular dynamics - multiple time scales, oscillations and noise

AU - Stefanovska, Aneta

AU - Bandrivskyy, A.

AU - McClintock, Peter V. E.

N1 - Copyright 2003 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 665, 2003 and may be found at http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.1584913

PY - 2003

Y1 - 2003

N2 - Modelling the cardiovascular system (CVS) presents a challenging and important problem. The CVS is a complex dynamical system that is vital to the function of the human organism, and it reflects numerous different states of health and disease. Its complexity lies in a combination of oscillatory modes spanning a wide frequency scale that can synchronize for short episodes of time, coupled with a strong stochastic contribution. Motivated by these properties, we discuss the problem of characterising dynamics when there is a combination of oscillatory components in the presence of strong noise and, in particular, where the characteristic frequencies and corresponding amplitudes vary in time. We show that, where there are several noisy oscillatory modes, the slower modes are difficult to characterise because the length of the recorded time series is inevitably limited in real measurements. We argue that, in the case of strong noise combined with a limited observation time, such oscillatory dynamics with several modes may appear to manifest as a 1/f‐like behaviour. We also show that methods of time‐frequency analysis can provide a basis for characterising noisy oscillations, but that a straightforward characterisation of multi‐scale oscillatory dynamics in the presence of strong noise still remains an unsolved problem.

AB - Modelling the cardiovascular system (CVS) presents a challenging and important problem. The CVS is a complex dynamical system that is vital to the function of the human organism, and it reflects numerous different states of health and disease. Its complexity lies in a combination of oscillatory modes spanning a wide frequency scale that can synchronize for short episodes of time, coupled with a strong stochastic contribution. Motivated by these properties, we discuss the problem of characterising dynamics when there is a combination of oscillatory components in the presence of strong noise and, in particular, where the characteristic frequencies and corresponding amplitudes vary in time. We show that, where there are several noisy oscillatory modes, the slower modes are difficult to characterise because the length of the recorded time series is inevitably limited in real measurements. We argue that, in the case of strong noise combined with a limited observation time, such oscillatory dynamics with several modes may appear to manifest as a 1/f‐like behaviour. We also show that methods of time‐frequency analysis can provide a basis for characterising noisy oscillations, but that a straightforward characterisation of multi‐scale oscillatory dynamics in the presence of strong noise still remains an unsolved problem.

U2 - 10.1063/1.1584913

DO - 10.1063/1.1584913

M3 - Journal article

VL - 665

SP - 392

EP - 399

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

ER -