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: Journal 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: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 9328
Deposited By: Ms Margaret Calder
Deposited On: 04 Jun 2008 14:00
Refereed?: Yes
Published?: Published
Last Modified: 22 Aug 2019 00:42
URI: https://eprints.lancs.ac.uk/id/eprint/9328

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