Chaos In The Onset Of Sickle Cell Crises
Author(s)
A. Apori, R. Coral-Pinto & W. Harris
Abstract
A novel unsteady Eulerian-based model [Apori-Harris model] that includes the
oxygen concentration, red blood cell average velocity, cell stiffness, and plasma
viscosity as dependent state variables has been developed and is used to
investigate the chaotic onset of sickle cell blood flow crises in capillaries. In
canonical form, the Apori-Harris model is a set of coupled, non-linear equations
in which the velocity-viscosity and viscosity-cell stiffness relationships dominate
the physics of the model. The equation set is investigated to determine its chaotic
properties with respect to control parameters representing the specific rheology
of the sickle cell erythrocytes. Determining the sensitivity of the Apori-Harris
model to changes in each parameter defines the process for identifying the
dominant contr
Keywords
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