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Modelling high-order synchronisation epochs and transitions in the cardiovascular system.

Research output: Contribution in Book/Report/ProceedingsChapter

Published

Publication date2008
Host publicationPROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)
EditorsD Abbott, T Aste, M Batchelor, R Dewar, T DiMatteo, T Guttmann
Place of publicationBellingham, Washtington, USA
PublisherSPIE-INT SOC OPTICAL ENGINEERING
Number of pages10
Volume6802
ISBN (Print)978-0-8194-6973-1
Original languageEnglish

Abstract

We study a system consisting of two coupled phase oscillators in the presence of noise. This system is used as a model for the cardiorespiratory interaction in wakefulness and anaesthesia. We show that long-range correlated noise produces transitions between epochs with different n:m synchronisation ratios, as observed in the cardiovascular system. Also, we see that, the smaller the noise (specially the one acting on the slower oscillator), the bigger the synchronisation time, exactly as happens in anaesthesia compared with wakefulness. The dependence of the synchronisation time on the couplings, in the presence of noise, is studied; such dependence is softened by low-frequency noise. We show that the coupling from the slow oscillator to the fast one (respiration to heart) plays a more important role in synchronisation. Finally, we see that the isolines with same synchronisation time seem to be a linear combination of the two couplings.