Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 98959, 16 pages
doi:10.1155/DDNS/2006/98959
Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
1Department of Biomedical Engineering, Tel Aviv University, Ramat-Aviv, Tel Aviv 69978, Israel
2Avalon-Net, Haifa, Israel
3Marwell Corporation, Tel-Aviv, Israel
Received 6 September 2005; Accepted 5 December 2005
Copyright © 2006 V. Kardashov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The paper shows that analytical dynamic models coupled with the available
signal processing methods could be used for describing the
self-organization and chaos degree in the heartbeats propagation and
pressure pulses in ventricular at ejection phase. We proposed a unit
analytical approach that could be associated with real ECG and pressure
pulses signal processing. Our findings confirm that the real-time computer
monitoring of the main cardiovascular parameters obtained by the use of
analytical models and verified by signal processing of real clinical data
may be considered as available method for measuring and controlling
self-organization and chaos degree in pulse propagation.