Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 98959, 16 pages

Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation

V. Kardashov,1 Sh. Einav,1 Y. Okrent,2 and T. Kardashov3

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.


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.