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Proceedings Paper

Applications of temporal chaos: sensitive dependence on initial conditions and K2-entropy on erythrocytes viscoelastic properties
Author(s): Ana Maria Korol; Juana R. Valverde; Rodolfo Jose Rasia
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Paper Abstract

The photometric readings are obtained by ektacytometry over several millions of shear elongated cells, using a home-made device called Erythrodeformeter. This time series is used to study the fractal behavior of erythrocyte viscoelastic properties. We have only a scalar signal and no governing equations. Therefore the complete behavior has to be reconstructed in an artificial phase space. We used the technique of time delay coordinates by Takens. A numerical method based on self-affine Brownian motion is proposed to analyze sensitive dependence on initial conditions. We hypothesize that this photometric temporal series, could be modeled as a system of bounded correlated random walk. Hence, two phase spaces n-dimensional are generated, and used to distinguish chaotic from white noise behavior. We have applied modified methods of Grassberger and Procaccia not only on our photometric readings but also on a pseudo- aleatory series in order to check their results. It was found that while the pseudo-aleatory series is high- dimensional, our series are low-dimensional. The role of random noise and the number of data points are discussed. Finally, our results, allow us to conclude that these methods could be used to evaluate the predictability and clinical aspects of erythrocyte rheological properties.

Paper Details

Date Published: 28 April 2000
PDF: 8 pages
Proc. SPIE 3915, Coherence Domain Optical Methods in Biomedical Science and Clinical Applications IV, (28 April 2000); doi: 10.1117/12.384164
Show Author Affiliations
Ana Maria Korol, Univ. Nacional de Rosario (Argentina)
Juana R. Valverde, Univ. Nacional de Rosario (Argentina)
Rodolfo Jose Rasia, Univ. Nacional de Rosario (Argentina)

Published in SPIE Proceedings Vol. 3915:
Coherence Domain Optical Methods in Biomedical Science and Clinical Applications IV
Valery V. Tuchin; Joseph A. Izatt; James G. Fujimoto, Editor(s)

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