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Inference of systems with delay and applications to cardiovascular dynamics

Bankrivskyy, A. and Luchinsky, Dmitry G. and McClintock, Peter V. E. and Smelyanskiy, V. N. and Stefanovska, Aneta (2005) Inference of systems with delay and applications to cardiovascular dynamics. Stochastics and Dynamics, 5 (2). pp. 321-331. ISSN 0219-4937

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    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.

    Item Type: Article
    Journal or Publication Title: Stochastics and Dynamics
    Additional Information: 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
    Uncontrolled Keywords: Stochastic delay equation ; cardiovascular dynamics ; Bayesian inference ; 34K50 (AMSC) ; 62F15 (AMSC) ; 92C30 (AMSC)
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    ID Code: 9328
    Deposited By: Ms Margaret Calder
    Deposited On: 04 Jun 2008 15:00
    Refereed?: Yes
    Published?: Published
    Last Modified: 18 Jun 2015 05:31
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/9328

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