Mathematical Sciences: Modelling, Analysis, and Computational Simulation of Platelet Aggregation in Large and Small Vessels

数学科学：大型和小型血管中血小板聚集的建模、分析和计算模拟

• 批准号: 9104410
• 负责人: Aaron Fogelson
• 金额: $ 7.47万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-08-15 至 1994-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9104410&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Modelling; Analysis; Computational

Platelet aggregates form on blood vessel walls in response to vascular injury; they are also major constituents of the life-threatening blood clots associated with vascular disease and with the use of cardiovascular prostheses. Microscopic-scale models of aggregation, which involve interactions among the blood's fluid dynamics and the mechanics and chemistry of the platelets, are appropriate for studying aggregation in the small vessels of the microcirculation. The project will explore changes in the models to attain more realistic aggregate growth rates, and improvements in the associated numerical methods to extend simulations to three dimensions and to substantially longer time periods. These changes will complement recent advances in experimental technique to allow the first detailed comparison of simulations with experiments. To facilitate these comparisons, the investigator has established collaborations with leading experimental scientists. The investigator will also continue computational and analytical exploration of a new class of continuum models he has formulated for studying aggregation in larger vessels such as the coronary arteries. Of particular interest is the chemically-induced liquid-to-solid phase transition exhibited by these models. The project will characterize its dependence on flow and chemical parameters. The mathematical analysis and simulations to be carried out in this project complement traditional laboratory experimentation. They provide detailed information, of a type which is generally not attainable in the laboratory, about the dynamic interactions among the components of the aggregation response. This additional information will increase insight into the physical and chemical controls on the aggregation process. These studies will also lay the foundations for further development of models of aggregation and for their application to clinically interesting questions such as how flow and vessel geometry interact to influence aggregation within natural vessels, such as the coronary arteries, or prosthetic devices, such as vascular grafts or artificial hearts.

作为对血管损伤的反应，血小板聚集在血管壁上；它们也是与血管疾病和心血管假体的使用有关的危及生命的血栓的主要成分。聚集的微观尺度模型涉及血液流体动力学和血小板的力学和化学之间的相互作用，适合于研究微循环中的小血管聚集。该项目将探索模型的变化，以获得更现实的总增长率，并改进相关的数值方法，将模拟扩展到三维和更长的时间段。这些变化将补充实验技术的最新进展，以实现模拟与实验的首次详细比较。为了便于这些比较，研究人员与领先的实验科学家建立了合作关系。这位研究人员还将继续对他为研究较大血管(如冠状动脉)中的聚集而制定的一类新的连续介质模型进行计算和分析探索。特别令人感兴趣的是这些模型所表现出的化学诱导的液-固相变。该项目将表征其对流动和化学参数的依赖性。本项目将进行的数学分析和模拟是对传统实验室实验的补充。它们提供了关于聚合响应组件之间的动态相互作用的详细信息，这种类型的信息通常在实验室中无法获得。这些额外的信息将增加对聚合过程的物理和化学控制的洞察。这些研究还将为进一步开发聚集模型并将其应用于临床有趣的问题奠定基础，例如流动和血管几何如何相互作用来影响天然血管(如冠状动脉)或假体装置(如血管移植物或人造心脏)内的聚集。