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