Journal of Mathematical Biology

, Volume 36, Issue 1, pp 41–63 | Cite as

Modelling of the baroreflex-feedback mechanism with time-delay

  • Johnny T. Ottesen


 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.

Key words: Cardiovascular system Nonlinear baroreflex-feedback Time-delay Stability analysis 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Johnny T. Ottesen
    • 1
  1. 1.IMFUFA, Roskilde University, Postbox 260, DK-4000 Roskilde, Denmark E-mail: Johnny@mmf.ruc.dkDK

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