Particle Hemodynamics on the bypassed and bifurcated geometry of Abdominal and Iliac Arteries

Abstract

Proposed near-wall deposition probability (NWDP) index for platelets was applied to the bypassed and bifurcated arterial model of abdominal and iliac arteries to assess the reliability of the index as a hemodynamic index for the prediction of atherosclerotic disease development. NWDP index was evaluated by integrating the contribution of all the particle trajectories with time. The motion of every single particle (platelet; dp∼3µm) in pulsatile blood flow was calculated by using the one-way coupled Lagrangian method. The particle was assumed to be a solid sphere, and particle motions were also assumed not to influence the flow. Interactions with other particles were also neglected. The forces considered in the equation of motion for the particles were the drag, pressure gradient, and collision forces only. The ordinary differential equations were solved along the particle trajectory for the three components of the particle velocity and location vector by using the Rosenbrock method. The Rosenbrock method was more easily integrated than the Runge-Kutta method. The bypassed and bifurcated arterial model was compared with the normal arterial model in terms of NWDP and platelet trajectories. The results of this study indicated that localizations or sharp changes of the NWDP index were in good agreements with the constricted region of arteries or reattachment point in the recirculation zone where have been known to be geometrical lesion-prone.