(192i) Effect of Non-Newtonian Bio-Transport Modeling on Vessel Concentration Predictions

Elyse C. Tighe; Mario A. Oyanader and Steffano L. Oyanader

Bio-Engineering and Chemical Engineering Departments, California Baptist University, 8432 Magnolia Ave. Riverside, CA 92504, E-mail: moyanader@calbaptist.edu

The modeling on blood and other non-Newtonian fluids has been revised continuously over the past few decades. While some models are considered an improvement upon the previous ones, there is a question of how accurately each of these models are in predicting fluids in biological systems. Prediction of drug concentration in a vessel is directly affected by the non-Newtonian model chosen to represent blood and drug concentration as a fluid. While previous methods have focused on Newtonian models to portray blood and drug flow in the cardiovascular system, this research focused on applying a variety already known non-newtonian models to create concentration profiles and analyze the discrepancy between models’ predictions. In addition to the Newtonian conventional modeling, non-Newtonian models were chosen (Power law, Casson, Carreu, and Walburn-Schneck) to characterize the influence of the fluid rheology on mass transport. The main contribution of this research is to use these velocity profiles to create unique vessel concentration prediction models and compared to see the effect of drug concentration modeling. The proposed modeling strategy as well as the mathematical solution can be used as a mathematical template to further analyze more complex systems involving electrical field forces for example. A summary these results will be provided with important insights into the development and implications to new treatment protocols for patients with vascular diseases.