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Modeling Viscoelastic Red Blood Cell-like Membranes in Two Dimensions
Jared Barber
UA
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Modeling Viscoelastic Red Blood Cell-like Membranes in Two Dimensions Jared Barber UA |
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ABSTRACT As forty to forty-five percent of our blood consists of red blood cells, modeling these red blood cells would greatly assist theorists and clinicians accurately assess and optimize the delivery of nutrients, drugs, and harmful substances throughout the body. In this talk I first discuss the various properties of red blood cells which scientists have sought to include in their models of red blood cell movement in vessel configurations. I then present a model which takes into account many of these properties for a two-dimensional "membrane". After discussing the equations of motion used to model these properties in this red blood cell-like membrane, I show the numerical results of this model applied to red blood cells traveling through vessel bifurcations. I will then discuss possible future directions for this particular project and potential applications. |