Abstract: Methods for determining likelihood of thrombosis based on patient-specific anatomic, valve, and flow parameters are disclosed herein. Such methods are used to select a transcatheter aortic valve that decreases likelihood of thrombosis after TAVR procedures. The methods correlate a number of fluid flow and geometric parameters such as stasis volume, neo-sinus volume, kinematic viscosity, dynamic viscosity, heart rate, the circulation, ejection time, velocity of the main jet, wall shear stress, total kinetic energy in the neo sinus volume, width of the neo-sinus, height or depth of the neo-sinus, the angle between the velocity direction and the stent of the transcatheter valve, the distance from the tip of the leaflet perpendicular to the leaflet edge and intersecting the sinotubular junction, and the cross-sectional area of the neo-sinus taken from a longitudinal or axial perspective. Such parameters are used to derive empirical or semi-empirical mathematical models to determine the likelihood of thrombosis.