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

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 coul...

Full description

Bibliographic Details
Main Authors: V. Kardashov, Sh. Einav, Y. Okrent, T. Kardashov
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS/2006/98959
id doaj-7bba3ba795bf4005b429a2b01b7f38d3
record_format Article
spelling doaj-7bba3ba795bf4005b429a2b01b7f38d32020-11-24T22:46:08ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/9895998959Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulationV. Kardashov0Sh. Einav1Y. Okrent2T. Kardashov3Department of Biomedical Engineering, Tel Aviv University, Ramat-Aviv, Tel Aviv 69978, IsraelDepartment of Biomedical Engineering, Tel Aviv University, Ramat-Aviv, Tel Aviv 69978, IsraelAvalon-Net, Haifa, IsraelMarwell Corporation, Tel-Aviv, IsraelThe 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.http://dx.doi.org/10.1155/DDNS/2006/98959
collection DOAJ
language English
format Article
sources DOAJ
author V. Kardashov
Sh. Einav
Y. Okrent
T. Kardashov
spellingShingle V. Kardashov
Sh. Einav
Y. Okrent
T. Kardashov
Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
Discrete Dynamics in Nature and Society
author_facet V. Kardashov
Sh. Einav
Y. Okrent
T. Kardashov
author_sort V. Kardashov
title Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
title_short Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
title_full Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
title_fullStr Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
title_full_unstemmed Nonlinear reaction-diffusion models of self-organization and deterministic chaos: Theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
title_sort nonlinear reaction-diffusion models of self-organization and deterministic chaos: theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2006-01-01
description 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.
url http://dx.doi.org/10.1155/DDNS/2006/98959
work_keys_str_mv AT vkardashov nonlinearreactiondiffusionmodelsofselforganizationanddeterministicchaostheoryandpossibleapplicationstodescriptionofelectricalcardiacactivityandcardiovascularcirculation
AT sheinav nonlinearreactiondiffusionmodelsofselforganizationanddeterministicchaostheoryandpossibleapplicationstodescriptionofelectricalcardiacactivityandcardiovascularcirculation
AT yokrent nonlinearreactiondiffusionmodelsofselforganizationanddeterministicchaostheoryandpossibleapplicationstodescriptionofelectricalcardiacactivityandcardiovascularcirculation
AT tkardashov nonlinearreactiondiffusionmodelsofselforganizationanddeterministicchaostheoryandpossibleapplicationstodescriptionofelectricalcardiacactivityandcardiovascularcirculation
_version_ 1725686134179102720