TITLE:
Crossover from Weak to Strong Nonlinear Disorder in the Viscoelasticity of Glucose Incubated Erythrocytes
AUTHORS:
A. M. Korol, B. D. Riquelme, M. D’Arrigo
KEYWORDS:
Incubated Erythrocytes; Fractal Correlation; Erythrocytes Viscoelasticy
JOURNAL NAME:
Open Journal of Biophysics,
Vol.3 No.3,
July
12,
2013
ABSTRACT:
Biomechanics is a wide interdisciplinary field, which includes all
mechanical aspects from living organisms. As traditional
erythrocytes viscoelastic analysis is mostly qualitative, the development of
new quantitative methods capable of analyzing at the same time
biological and mechanical aspects of the cells in flow, when changing from
healthy controls to glucose incubated at different concentrations, is crucial for restricting the subjectivity in the study of the cell behaviour. On
the other hand, it is important to appreciate the role of mathematics in the
analysis of tissues and cells. Recent developed non linear mathematical methods
are particularly fruitful when they are strongly correlated with cells sensitivity
to initial conditions. An optic system called Erythrodeformeter has been
developed and constructed in our laboratory, in order to evaluate the
erythrocytes viscoelastic properties. To analyze the erythrocytes viscoelastic
dynamics we used the technique of Time Delay Coordinates suggested by Takens,
False Nearest Neighbours proposed by Abarbanel and co-workers, and the
forecasting procedure proposed by Sugihara and May, the so called Correlation Coefficient.
The results suggest that through this random walk analysis, apparent noise
associated with deterministic chaos can be used not only to distinguish but
also to characterize at the same time biological and mechanical aspects of the
cells in flow, when changing from healthy controls to glucose incubated at
different concentrations.