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