Moving-boundary problems in blood flow

血流的移动边界问题

• 批准号: 0806941
• 负责人: Suncica Canic
• 金额: $ 26.3万
• 依托单位: University of Houston
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-06-15 至 2012-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0806941&HistoricalAwards=false
• 关键词: Moving; boundary; problems; blood; flow

A study of fluid-structure interaction between blood flow and compliant (elastic or viscoelastic) arteries is proposed. The underlying mathematical model couples the Navier-Stokes equations for an incompressible, viscous fluid with the structure equations describing vessel wall dynamics. The resulting moving-boundary problem has features of a mixed, hyperbolic-parabolic problem. An existence and uniqueness study of a reduced problem, and a novel scheme for efficient computation of the full problem, are proposed. A theoretical and computational study of Taylor dispersion in compliant tubes is also proposed. Results from this work are important for a study of intravascular nano-particle cancer drug delivery, and more generally, in the study of human cardiovascular function.Development of new mathematical and computational techniques to study blood flow in pulsating human arteries is proposed. The work is motivated by cardiovascular and oncological applications, and will proceed in collaboration with the Texas Medical Center in Houston.

提出了对血流与兼容（弹性或粘弹性）动脉之间的流体结构相互作用的研究。 基本的数学模型将Navier-Stokes方程与不可压缩的粘性流体与描述血管壁动力学的结构方程式结合在一起。由此产生的移动边界问题具有混合的双曲线 - 羟基蛋白酶问题。 提出了对减少问题的存在和唯一性研究，并提出了一种有效计算全部问题的新方案。 还提出了泰勒分散剂在兼容管中的理论和计算研究。 这项工作的结果对于研究血管内纳米粒子癌药物的研究很重要，更普遍地，在研究人类心血管功能的研究中。提出了新的数学和计算技术研究，以研究脉动人类动脉中的血液流动。 这项工作是由心血管和肿瘤学应用程序激励的，将与休斯顿的德克萨斯医疗中心合作进行。