血管剪切波速与弹性模量数理关系研究
程娜，林江莉，陈科，尹光福
基金项目：教育部博士点基金(20100181110002)；国家自然科学基金(30970781)
作者简介：程娜（1989-），女，硕士生，主要研究方向：数值仿真，图像处理，模式识别
通信联系人：尹光福，男，教授，（1961-10），研究方向：生物医学材料，生物功能材料.

（四川大学材料科学与工程学院生物医学工程系，成都 610041）

摘要：剪切波传播速度法是一种具有前景的无创测量血管弹性的方法，其中剪切波速与组织弹性的关系是一个重要的研究内容。目标：本文基于剪切波传播速度法，研究血管中剪切波速与血管剪切弹性模量的数量关系。方法：运用有限元仿真剪切波传播测量法获得血管中传播的剪切波速度，研究血管剪切弹性模量、血管壁厚和血管内径的大小对其影响规律。结果：得出了血管中剪切波传播速度与血管剪切弹性模量、血管壁厚和血管内径的大小的数学解析10 式。结论：将数学关系式得到的速度和有限元仿真得到的速度进行比较，平均误差在10%以内。
关键词：血管；剪切波速度；弹性模量；有限元法
中图分类号：R318.01

Research on the Mathematical Relation between Shear Wave Speed and Elastic Modulus in Vessel
CHEN Na, LIN Jiangli, CHEN Ke, YIN Guangfu
(Department of Biomedical Engineering of Materials Science and Engineering College, Sichuan University, Chengdu 610041)
Abstract: Shear wave velocity method is a promising method of non-invasive measurement of blood vessel elasticity, where the relationship between shear wave speed and elasticity is one of important research contents. Objectives: the relation between shear wave speed and elastic modulus in vessel is researched. Methods: based on the method, this paper utilizes FEM to obtain data of shear wave propogation, and study the influences of the shear elastic modulus, 25 vascular wall thickness and inside radius on shear wave velocity. Results: It is presented that the analytic formula between these influence factors and shear wave velocity. Conclusion: comparing the velocity obtained by the formula with by the FEM experiment，the result shows that the mean error range is less than 10%.
Key words: Vessel; Shear Wave Speed; Shear Elasticity Modulus ; Finite Element Method