Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution
Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution
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DOI：
10.1093/imammb/21.4.293
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发表时间：
2004-12-01
影响因子：
1.1
通讯作者：
Guy, RD
中科院分区：
文献类型：
--
作者：
Fogelson, AL;Guy, RD
建立了一个描述血小板血栓在冠状动脉大小的血管中形成的模型。它涉及粘性不可压缩流体、未活化和活化血小板群体、活化化学品和血管壁之间的相互作用。血小板粘附到受伤的壁和激活的血小板之间的凝聚力是使用弹性链接，产生的应力，可以影响流体运动的分布建模。提出的模型的第一个版本涉及两个空间尺度：血小板的微观尺度和血管的宏观尺度。一个封闭的近似，允许基本的微尺度行为进行计算，同时消除了明确跟踪事件在这个尺度上的必要性。计算方法提出，以满足不同的挑战所带来的耦合的非线性偏微分方程的模型和复杂的几何形状的收缩血管中进行血栓模拟。模拟结果表明，该模型可以产生血栓，生长闭塞的血管，血栓上的流体施加的剪切应力可以修改其随后的增长，并通过小规模的局部变化或大规模的结构破裂，导致其形状的重塑。
A model is developed to describe the formation of platelet thrombi in coronary-artery-sized blood vessels. It involves interactions among a viscous, incompressible fluid; populations of non-activated and activated platelets; activating chemicals; and the vessel walls. Adhesion of platelets to the injured wall and cohesion between activated platelets is modelled using distributions of elastic links which generate stresses that can influence the fluid motion. The first version of the model presented involves two spatial scales: the microscale of the platelets and the macroscale of the vessel. A closure approximation is introduced that allows essential microscale behaviour to be computed while eliminating the necessity to explicitly track events on this scale. Computational methods are presented that meet the diverse challenges posed by the coupled nonlinear partial differential equations of the model and by the complex geometry of the constricted vessels in which the thrombosis simulations are carried out. Simulation results demonstrate that the model can produce thrombi that grow to occlude the vessel, that shear-stress exerted by the fluid on the thrombi can modify their subsequent growth and cause remodelling of their shape through small-scale local changes or large-scale structural breakup.