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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 36 (1997), S. 41-63 
    ISSN: 1432-1416
    Keywords: Key words: Cardiovascular system ; Nonlinear baroreflex-feedback ; Time-delay ; Stability analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
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  • 2
    Book
    Book
    Philadelphia :Society for Industrial and Applied Mathematics,
    Title: Applied mathematical models in human physiology /
    Contributer: Ottesen, Johnny T.
    Publisher: Philadelphia :Society for Industrial and Applied Mathematics,
    Year of publication: 2004
    Pages: XIII, 272 S.
    Series Statement: SIAM monographs on mathematical modeling and computation
    ISBN: 0-89871-539-3
    Type of Medium: Book
    Language: English
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