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

Kardashov, V.; Einav, Sh.; Okrent, Y.; Kardashov, T.

doi:https://doi.org/10.1155/DDNS/2006/98959

Discrete Dynamics in Nature and Society

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Volume 2006 | Article ID 098959 | https://doi.org/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

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

Received06 Sept 2005

Accepted05 Dec 2005

Published11 Jun 2006

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.

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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.

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