Comparison between a generalized Newtonian model and a network-type multiscale model for hemodynamic behavior in the aortic arch: Validation with 4D MRI data for a case study.

Blood is a complex fluid in which the presence of the various constituents leads to significant changes in its rheological properties. Thus, an appropriate non-Newtonian model is advisable; and we choose a Modified version of the rheological model of Phan-Thien and Tanner (MPTT). The different parameters of this model, derived from the rheology of polymers, allow characterization of the non-Newtonian nature of blood, taking into account the behavior of red blood cells in plasma.

Analysis of type I endoleaks in a stented abdominal aortic aneurysm.

To improve the performance of endovascular grafts used for the treatment of abdominal aortic aneurysms, we develop a methodology to analyze the phenomena of type I endoleaks in a non-invasive-stented abdominal aorta. As one aspect of this study, an evaluation of the parietal stresses generated by the blood flow is provided. As blood is known to be a shear-thinning, non-Newtonian fluid, we have chosen to use the Phan-Thien and Tanner model, which can be derived from the rheology of polymer solutions.