Modeling Pressure-Area Relation for Blood Flow in Arteries Daniela Valdez (NCSU)

Abstract: To model the blood flow in arteries, we used the constitutive equation that relates pressure and area. In this one dimensional model, we generated two equations with pressure, area, and flow as being our three unknowns. Previous works have been done using elastic models. However, it has been physiologically shown that the arteries have viscoelastic characteristics. Therefore, we used the Kelvin Model, using pressure and area data obtained from pigs. The results from the Kelvin Model were then compared with the elastic one.
This is an abstract of a poster to be presented at the 2004 SEAMS Workshop in Charleston, SC. For more information, visit the workshop's homepage at math.cofc.edu/SEAMS.