The Constitutive Equation of the Tissue Remodeling of Blood Vessels

血管组织重构的本构方程（250字）高血压引起的人体血管重构对健康非常重要，必须了解。本提案的目的是制定一个更完整的生物力学研究计划，以获得更充分的理解来解决生理问题。第一步是用张量来描述细胞中各种生物分子的空间分布。张量是一个数学概念，用于描述三维空间中矢量系统的几何构型，并得到了广泛的应用。第二步是确定作用于血管壁的机械应力与血管重构中生物分子张量之间的关系。这种关系就是重构组织的本构方程。美国国会一直在关注我国老龄化人口的健康问题，因为婴儿潮一代即将退休。高血压是影响许多老年人的主要疾病之一，因为它会导致中风、心脏病发作、心力衰竭和其他并发症。高血压的分子机制一直是生物学研究的中心主题。然而，生物分子与机械力之间的关系尚不清楚，但可以通过确定重塑组织的本构方程来揭示。这项研究的重要性在于为基础科学转化为人类利益提供了一把钥匙。通过招募学生参与本研究，将达到教育影响。

The Constitutive Equation of the Tissue Remodeling of Blood VesselsABASTRACT (250 words) The remodeling of blood vessels in human due to high blood pressure is very important to health and has to be understood. The objective of this proposal is to make a more complete plan of biomechanical research to gain a fuller understanding to solve physiological problems. The first step is to describe the spatial distribution of each kind of the bio-molecules in the cell as a tensor. The tensor is a mathematical concept used to describe the geometrical configuration of a system of vectors in a 3-dimentional space and has been used widely. The second step is to determine the relationship between the mechanical stresses acting in the blood vessel wall and the tensors of the bio-molecules in vascular remodeling. This relationship is the Constitutive Equation of the remodeling tissue.The U.S. Congress has been paying attention to the health of aging population in our country, since baby boomers are getting to retire. Hypertension is one of the major diseases affecting many aging people, since it will cause stroke, heart attack, heart failure, and other complications. The molecular mechanisms of hypertension have been the central theme in biological investigations. However, the connection between the bio-molecules and the mechanical forces is little known, but can be revealed by determining the Constitutive Equation of the remodeling tissue. The importance of this research is to provide a key which is required in the translation of basic science to human benefits. Educational impacts will be achieved by recruiting students to participate in this research.