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| Hauptseite > Publikationsdatenbank > Nichtlineare Analyse eines Modells der respiratorischen Sinusarrhythmie |
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| Book/Report | FZJ-2019-01422 |
1996
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag
Jülich
Please use a persistent id in citations: http://hdl.handle.net/2128/21630
Report No.: Juel-3213
Abstract: The respiratory sinusarrhythmia (RSA) is defined as the heart-rate-variability in the frequeney range of respiration. Here it is used to analyse the dynamics of cardiorespiratory oscillators. A non-linear model of the RSA, based on an earlier, largely linear version [25], is developed to diseriminate the different autonomie and respiratory influences on the heart-rate. The dynamics of the model are analysed qualitatively by means of bifurcationdiagrams. Although the period-structure is very complex, the physiological variables RSA-amplitude, asymmetry-index and mean heart-rate show linear or constant behaviourf in the sections of the parameter-space, that are thought to be physiological. Methods of time-series-analysis are used for the quantitative analysis and the estimation of model-parameters to empirical data. Symbolic dynamics and the reduction of the model-dynamics to a circle-map lead to the common result, that the central modulation of the baroreflex-control-loop according to respiratory phase has the strongest influence on the structure of the RSA. The dynamics of the cardiorespiratory oscillators are also analysed using the two methods from time-series-analysis exclusively for empirical data. The results of symbolic dynamics show a 1:2-phase-locking between a central respiratory oscillator and the mechanies of respiration for slow paced respiration. Since the mechanic respiration is supposed to be synchronous to the firing of the respiratory network, this is an additional evidence of a second respiratory oscillator. Using circle-maps a one-dimensional, non-linear determinism could be proven to produce the short-term heart-rate-variability while paced respiration. Geometrical parameters of the circle-map are related to characteristic quantities of the time-series. A first step is done to relate these phenomenological parameters to parameters of the mechanistic RSA-model.
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