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    Rights statement: Electronic version of this article published as Inference of systems with delay and applications to cardiovascular dynamics in Stochastics and Dynamics, 5, 2, 2005, 321-331 10.1142/S0219493705001432 © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/sd

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Inference of systems with delay and applications to cardiovascular dynamics

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Inference of systems with delay and applications to cardiovascular dynamics. / Bandrivskyy, A.; Luchinsky, Dmitry G.; McClintock, Peter V. E. et al.
In: Stochastics and Dynamics, Vol. 5, No. 2, 06.2005, p. 321-331.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Bandrivskyy, A, Luchinsky, DG, McClintock, PVE, Smelyanskiy, VN & Stefanovska, A 2005, 'Inference of systems with delay and applications to cardiovascular dynamics', Stochastics and Dynamics, vol. 5, no. 2, pp. 321-331. https://doi.org/10.1142/S0219493705001432

APA

Bandrivskyy, A., Luchinsky, D. G., McClintock, P. V. E., Smelyanskiy, V. N., & Stefanovska, A. (2005). Inference of systems with delay and applications to cardiovascular dynamics. Stochastics and Dynamics, 5(2), 321-331. https://doi.org/10.1142/S0219493705001432

Vancouver

Bandrivskyy A, Luchinsky DG, McClintock PVE, Smelyanskiy VN, Stefanovska A. Inference of systems with delay and applications to cardiovascular dynamics. Stochastics and Dynamics. 2005 Jun;5(2):321-331. doi: 10.1142/S0219493705001432

Author

Bandrivskyy, A. ; Luchinsky, Dmitry G. ; McClintock, Peter V. E. et al. / Inference of systems with delay and applications to cardiovascular dynamics. In: Stochastics and Dynamics. 2005 ; Vol. 5, No. 2. pp. 321-331.

Bibtex

@article{0d2b786ff26843339a13f4ef4a55d90f,
title = "Inference of systems with delay and applications to cardiovascular dynamics",
abstract = "A Bayesian inference technique, able to encompass stochastic nonlinear systems, is described. It is applicable to differential equations with delay and enables values of model parameters, delay, and noise intensity to be inferred from measured time series. The procedure is demonstrated on a very simple one-dimensional model system, and then applied to inference of parameters in the Mackey-Glass model of the respiratory control system based on measurements of ventilation in a healthy subject. It is concluded that the technique offers a promising tool for investigating cardiovascular interactions.",
keywords = "Stochastic delay equation, cardiovascular dynamics, Bayesian inference, 34K50 (AMSC), 62F15 (AMSC), 92C30 (AMSC)",
author = "A. Bandrivskyy and Luchinsky, {Dmitry G.} and McClintock, {Peter V. E.} and Smelyanskiy, {V. N.} and Aneta Stefanovska",
note = "Electronic version of this article published as Inference of systems with delay and applications to cardiovascular dynamics in Stochastics and Dynamics, 5, 2, 2005, 321-331 10.1142/S0219493705001432 {\textcopyright} copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/sd",
year = "2005",
month = jun,
doi = "10.1142/S0219493705001432",
language = "English",
volume = "5",
pages = "321--331",
journal = "Stochastics and Dynamics",
issn = "0219-4937",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",

}

RIS

TY - JOUR

T1 - Inference of systems with delay and applications to cardiovascular dynamics

AU - Bandrivskyy, A.

AU - Luchinsky, Dmitry G.

AU - McClintock, Peter V. E.

AU - Smelyanskiy, V. N.

AU - Stefanovska, Aneta

N1 - Electronic version of this article published as Inference of systems with delay and applications to cardiovascular dynamics in Stochastics and Dynamics, 5, 2, 2005, 321-331 10.1142/S0219493705001432 © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/sd

PY - 2005/6

Y1 - 2005/6

N2 - A Bayesian inference technique, able to encompass stochastic nonlinear systems, is described. It is applicable to differential equations with delay and enables values of model parameters, delay, and noise intensity to be inferred from measured time series. The procedure is demonstrated on a very simple one-dimensional model system, and then applied to inference of parameters in the Mackey-Glass model of the respiratory control system based on measurements of ventilation in a healthy subject. It is concluded that the technique offers a promising tool for investigating cardiovascular interactions.

AB - A Bayesian inference technique, able to encompass stochastic nonlinear systems, is described. It is applicable to differential equations with delay and enables values of model parameters, delay, and noise intensity to be inferred from measured time series. The procedure is demonstrated on a very simple one-dimensional model system, and then applied to inference of parameters in the Mackey-Glass model of the respiratory control system based on measurements of ventilation in a healthy subject. It is concluded that the technique offers a promising tool for investigating cardiovascular interactions.

KW - Stochastic delay equation

KW - cardiovascular dynamics

KW - Bayesian inference

KW - 34K50 (AMSC)

KW - 62F15 (AMSC)

KW - 92C30 (AMSC)

U2 - 10.1142/S0219493705001432

DO - 10.1142/S0219493705001432

M3 - Journal article

VL - 5

SP - 321

EP - 331

JO - Stochastics and Dynamics

JF - Stochastics and Dynamics

SN - 0219-4937

IS - 2

ER -