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Inference of systems with delay and applications to cardiovasculat dynamics.

Research output: Contribution to journalJournal article

Published

Journal publication date06/2005
JournalStochastics and Dynamics
Journal number2
Volume5
Number of pages11
Pages321-331
Original languageEnglish

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.