Fractal behavior and optical properties on erythrocytes viscoelasticity subjected to mechanical stress

Ana Maria Korol; Juana R. Valverde; Rodolfo Jose Rasia

doi:10.1117/12.405933

3 November 2000 Fractal behavior and optical properties on erythrocytes viscoelasticity subjected to mechanical stress

Ana Maria Korol, Juana R. Valverde, Rodolfo Jose Rasia

Proceedings Volume 4162, Controlling Tissue Optical Properties: Applications in Clinical Study; (2000) https://doi.org/10.1117/12.405933
Event: EOS/SPIE European Biomedical Optics Week, 2000, Amsterdam, Netherlands

Abstract

In this study techniques of fractal analysis as well as a home made device are proposed to characterize viscoelastic properties on mammalian erythrocyte membranes. A numerical method formulated on the basis of the fractal approximation for ordinary (OBM) and fractionary Brownian motion (FBM), is proposed to evaluate sensitive dependence on initial conditions. We hypothesize that this photometric temporal series, could be modeled as a system of bounded correlated random walk. Hence, three phase spaces n-dimensional (n=2 to 8) are generated, and used to distinguish chaotic from white noise behavior. The time series was obtained by ektacytometry over several millions of shear elongated cells. These experimental determinations were carried out in a home made device called erythrodeformeter, that has been built for rheological measurements on red blood cells subjected to definite fluid shear stress. A laser beam traverses the layer of shear deformed erythrocytes producing an elliptical pattern and diffracted intensity corresponding to each principal diameter of the diffraction pattern falls onto a photomultiplier tube (PMT), after passing through a thin straight slot in a mask placed exactly on the corresponding axis of the elliptical pattern. These photometric reading performed while erythrocytes became deformed and relaxed are used to calculate three different parameters over the time dependent process, and very different results were obtained.

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Ana Maria Korol, Juana R. Valverde, and Rodolfo Jose Rasia "Fractal behavior and optical properties on erythrocytes viscoelasticity subjected to mechanical stress", Proc. SPIE 4162, Controlling Tissue Optical Properties: Applications in Clinical Study, (3 November 2000); https://doi.org/10.1117/12.405933

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KEYWORDS

Fractal analysis

Data conversion

Blood

Chaos

Optical properties

Complex systems

Diffraction

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