Poroelastic Transport Models for Large Arteries

大动脉的多孔弹性传输模型

• 批准号: 9410571
• 负责人: Bruce Simon
• 金额: $ 16.43万
• 依托单位: University of Arizona
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-09-15 至 1997-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9410571&HistoricalAwards=false
• 关键词: Poroelastic; Transport; Models; Large; Arteries

9410571 Simon The research proposed in this application is the study of poroelastic models based on experimental data. The arterial wall is viewed as a deformable structure of solid components that is saturated by a mobile tissue fluid and contains mobile species. A finite strain porohyperelastic model will include history- dependent finite deformation, stress, and transural tissue fluid flow. Finite strain isotropic and anisotropic porohyperelastic constitutive laws will be developed based on a hyperelastic strain energy density function and strain dependent permeability that will be quantified using experimental data for aortic tissue. A two layer model will be developed to quantify the hydraulic resistivity and transport properties of the arterial intima and media. Finite element models based on the nonlinear porohyperelastic theory and initial linear poroelastic transport theory will be developed in order to accurately represent the complex structure and fluid-molecular transport in the arterial wall. The research will provide the quantitative methodology necessary for a better understanding of the physiology and mechanics of the normal arterial wall as well as for consideration of abnormal states and arterial diseases such as atherosclerosis. ***

9410571 Simon在本申请中提出的研究是基于实验数据的孔弹性模型的研究。动脉壁被视为一种可变形的固体成分结构，被可移动的组织液饱和，并含有可移动的物种。有限应变孔超弹性模型将包括依赖于历史的有限变形、应力和跨壁组织流体流动。有限应变各向同性和各向异性孔洞超弹性本构关系将基于超弹性应变能量密度函数和应变相关渗透率，将使用实验数据对主动脉组织进行量化。将开发一个两层模型来量化动脉内膜和中层的水力电阻率和传输特性。为了准确地描述动脉壁中的复杂结构和流体-分子传输，将建立基于非线性孔超弹性理论和初始线性孔弹性输运理论的有限元模型。这项研究将为更好地了解正常动脉壁的生理和力学以及考虑异常状态和动脉疾病(如动脉粥样硬化)提供必要的定量方法。***