Date of Award
Program or Major
Mathematics: Applied Math
Master of Science
A simplified mathematical model of blood flow through flexible arteries is developed and analyzed. The resulting system of non-linear, non-homogeneous PDE's is analyzed numerically using the Richtmyer Lax-Wendroff method. Numerical and theoretical results show excellent agreement suggesting that in physiologically relevant situations shocks only develop outside the domain of interest. These results suggest that when the model assumptions are satisfied the model provides sufficient regularity to yield a physically reasonable representation of flow through a flexible artery. We conclude with a discussion of future directions for this model.
Bozzuto, Lisa A., "Mathematical analysis of blood flow model through channels with flexible walls" (2011). Master's Theses and Capstones. 652.