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Proceedings Paper

Modeling high-order synchronization epochs and transitions in the cardiovascular system
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Paper 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 longrange 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.

Paper Details

Date Published: 5 January 2008
PDF: 10 pages
Proc. SPIE 6802, Complex Systems II, 68020U (5 January 2008); doi: 10.1117/12.768794
Show Author Affiliations
David García-Álvarez, Lancaster Univ. (United Kingdom)
Alireza Bahraminasab, Lancaster Univ. (United Kingdom)
Aneta Stefanovska, Lancaster Univ. (United Kingdom)
Peter V. E. McClintock, Lancaster Univ. (United Kingdom)

Published in SPIE Proceedings Vol. 6802:
Complex Systems II
Derek Abbott; Tomaso Aste; Murray Batchelor; Robert Dewar; Tiziana Di Matteo; Tony Guttmann, Editor(s)

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