Nonlinear Parameters a Powerful Tool on Analyzing Mammalian Erythrocytes Subjected to Mechanical Stress

Since traditional erythrocytes (microcell) viscoelastic analysis is mostly qualitative, the development of new quantitative nonlinear methods is crucial for restricting the subjectivity in the study of the cell behavior. These nonlinear methods are particularly fruitful when they are strongly correlated with cells sensitive to initial conditions and allow a better understanding of their dynamics. An electro-optic mechanic system called erythrodeformeter has been developed and constructed in our laboratory, in order to evaluate the erythrocytes viscoelastic properties Ref.[1]. A numerical method formulated on the basis of fractal approximation for ordinary (oBm) and fractionary brownian motion (fBm), is proposed to evaluate sensitive dependence on initial conditions, based on the assumption that diffractometric data involves both deterministic and stochastic components, so it could be modelled as a system of bounded correlated random walk. The Correlation Coefficient, a nonlinear parameter, is presented for samples from: healthy donors, and dyslipidemic and/or hypertensive patients erythrocytes population and very significant and different results were obtained.