Analysis of non linear oscillations and multivariate autoregressive modelling applied to the cardiovascular system
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Firstly, a comparative study between three models of Cnlpled non-linear oscillators under entrainment conditions was carried out. The first model comprises VAN DER POL oscillators, Hell known for the simplicity of their equations and stability fbr a large number of such oscillators. The second model consists of a modified form of the HODGKIN-HUXLEY oscillator, namely the NOBLE oscillator known for the complexity of its analytical equations. The last model is based upon a feedback loop containing a linear filter, a non-linear switch and a time delay, which give rise to substained oscillations. Secondly, a method for analysing simultaneously the total human cardiovascular control system comprising heart rate and blood pressure is presented. The method is based on a closed loop model, which is described as a multivariate autoregressive process. After the model identification, the system can be totally described with the model parameters. Then the system dynamics, that is, the interaction between heart rate and blood pressure, the noise source contributions to the power spectrum of each signal and the step response, can be determined from the model. The proposed method has been applied to short-term recordings of blood pressure and heart rate.
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| Cote | Localisation | Type de Support | Type de Prêt | Statut | Date de Restitution Prévue | Réservation |
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| 004 BOU TH C1 | BIB-Centrale / Thèses | interne | disponible |