Poroelastic Transport Models for Large Arteries

9410571 Simon本申请中提出的研究是基于实验数据的多孔弹性模型的研究。 动脉壁被视为固体成分的可变形结构，其被移动的组织液饱和并包含移动的物质。 有限应变孔隙超弹性模型将包括与历史相关的有限变形、应力和经腓肠组织流体流动。 有限应变各向同性和各向异性孔隙超弹性本构关系将基于超弹性应变能密度函数和应变相关渗透率（将使用主动脉组织的实验数据进行量化）开发。 将开发一个双层模型，以量化动脉内膜和中膜的水力阻力和传输特性。 将开发基于非线性多孔超弹性理论和初始线性多孔弹性传输理论的有限元模型，以准确地表示动脉壁中的复杂结构和流体分子传输。 这项研究将提供必要的定量方法，以便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。 ***

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. ***