Mathematical Sciences: Computational Modelling of Platelet Aggregation and the Flow of Fluid-Particle Suspensions

本研究将完善数学模型和数值计算方法， 凝血过程中血小板聚集的研究方法 以及流体颗粒悬浮液的流动。 它们很大- 规模问题相当复杂。 因此 研究将涉及高度的计算，其中大部分 将需要使用超级计算机。 一种新的基于粒子的 一个求解多维对流占优问题的算法 将建立对流扩散方程。 使用 代表血小板和悬浮颗粒的局部力 将扩展到血管壁的表示。 这项工作应该阐明一个中心问题， 聚集：血液的局部流体动力学和 血管的几何形状相互作用以影响位置， 聚集体形成的速率和程度。 它将有助于 非血栓性人工内脏的设计。

This research will improve mathematical models and numerical methods for studying platelet aggregation during blood clotting and the flow of fluid-particle suspensions. These are large- scale problems of considerable complexity. Consequently, the research will involve a high degree of computation, much of which will require use of a supercomputer. A new particle-based algorithm for solving a multidimensional convection-dominated convection-diffusion equation will be developed. The use of localized forces to represent platelets and suspended particles will be extended to the representation of blood vessel walls. This work should shed light on a central question in aggregation: how the blood's local fluid dynamics and the geometry of the blood vessel interact to influence the location, rate, and extent of aggregate formation. It will aid in the design of nonthrombogenic artificial internal organs.