We present a new method for the geometric reconstruction of elastic surfaces simulated by the immersed boundary method with the goal of simulating the motion and interactions of cells in whole blood. Our method uses parameter-free radial basis functions for high-order meshless parametric reconstruction of point clouds and the elastic force computations required by the immersed boundary method. This numerical framework allows us to consider the effect of endothelial geometry and red blood cell motion on the motion of platelets. We find red blood cells to be crucial for understanding the motion of platelets, to the point that the geometry of the vessel wall has a negligible effect in the presence of RBCs. We describe certain interactions that force the platelets to remain near the endothelium for extended periods, including a novel platelet motion that can be seen only in 3-dimensional simulations that we term "unicycling." We also observe red blood cell-mediated interactions between platelets and the endothelium for which the platelet has reduced speed. We suggest that these behaviors serve as mechanisms that allow platelets to better maintain vascular integrity.
翻译:我们提出了一种新方法,用于模拟以浸泡边界方法模拟的弹性表面的几何重建,目的是模拟细胞运动和整个血液中的相互作用。我们的方法使用无参数的辐射基功能,对点云进行高等级的无线准量重建,并根据浸泡边界方法的要求进行弹性力计算。这个数字框架使我们能够考虑内向几何和红血细胞运动对小板运动的影响。我们发现红血细胞对于理解小板运动至关重要,以至于在RBC面前,容器壁的几何作用可忽略不计。我们描述了某些相互作用,迫使小板块在远期内留在小板旁,包括一种新型的板块运动,它只能在我们称为“单自行车”的三维模拟中才能看到。我们还观察了红血细胞在小板和板板块降低速度的顶端 ⁇ 之间的相互作用。我们建议,这些动作可以作为使小板板块更好地保持血管完整性的机制。