title: Modelling of the baroreflex-feedback mechanism with time-delay.
abstract: The cardiovascular system is considered. A direct modelling of the non-linear baroreflex-feedback mechanism, including time-delay, is developed based on physiological theory and empirical facts. The feedback model is then evaluated on an expanded, but simple, non-pulsatile Windkessel model of the cardiovascular system. The stability of the entire model is analyzed and the effect of the value of the time-delay is investigated and discussed. The time-delay may cause oscillations. A finite number of stability switches may occur dependent on the value of the time-delay. The location of these stability switches turns out to be sensitive to the value of the parameters in the model. We suggest a simple experiment to determine whether or not the time-delay is responsible for the 10 second Mayer waves. Data from an ergometer bicycle test is used for evaluation of the model.
authors.affiliation: IMFUFA, Roskilde University, Denmark. Johnny@mmf.ruc.dk
authors.forename: J T
authors.initials: JT
authors.lastname: Ottesen
mesh_terms: D017704:Baroreflex / Q000502:physiology*; D001794:Blood Pressure / Q000502:physiology; D005080:Exercise Test; D005246:Feedback; D006339:Heart Rate / Q000502:physiology; D006801:Humans; D008433:Mathematics; D008955:Models, Cardiovascular; D013997:Time Factors; D014655:Vascular Resistance / Q000502:physiology