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- W2022607141 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." @default.
- W2022607141 created "2016-06-24" @default.
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- W2022607141 date "2000-04-28" @default.
- W2022607141 modified "2023-09-23" @default.
- W2022607141 title "Applications of temporal chaos: sensitive dependence on initial conditions and K 2 -entropy on erythrocytes viscoelastic properties" @default.
- W2022607141 doi "https://doi.org/10.1117/12.384164" @default.
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