Modeling high-order synchronisation epochs and transitions in the cardiovascular system

Garcia-Alvares, David and Bahraminasab, Alireza and Stefanovska, Aneta and McClintock, Peter V. E. (2008) Modeling high-order synchronisation epochs and transitions in the cardiovascular system. Proceedings of SPIE, 6802. ISSN 0277-786X

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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.

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Proceedings of SPIE
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Copyright 2008 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
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06 Aug 2008 20:07
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22 Nov 2022 01:43