电子学报 ›› 2014, Vol. 42 ›› Issue (10): 2086-2091.DOI: 10.3969/j.issn.0372-2112.2014.10.034

• 科研通信 • 上一篇    下一篇

血管壁小应变数学模型研究

汪友生   

  1. 北京工业大学电子信息与控制工程学院, 北京 100124
  • 收稿日期:2013-07-15 修回日期:2014-05-18 出版日期:2014-10-25 发布日期:2014-10-25
  • 作者简介:汪友生 男,1965年生,安徽望江人,工学博士、北京工业大学副教授、硕士研究生导师,主要从事图像工程、模式识别、无损检测等方面的研究工作. E-mail:wangyousheng@bjut.edu.cn

Research on Small Strain Mathematics Model of Vessel Wall

WANG You-sheng   

  1. College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100124, China
  • Received:2013-07-15 Revised:2014-05-18 Online:2014-10-25 Published:2014-10-25

摘要:

分析血管壁的弹性形变,对心血管疾病的临床诊治和手术方案选择有重要意义.在进行合理假设的前提下,首先建立微元线段的小应变分析模型,再利用有限元分析方法将血管壁区域划分为若干三角形面微元,用三角形的三个顶点和三条边的位移函数导出三角形微元域的形变模型,通过模型计算结果分析及有效性验证表明:血管壁小应变力学模型具有较好的适用性和实用性.与文献方法相比,最后呈现的结果不仅能计算出应变大小,还能显示应变方向,而且分别给出三个方向的应变值.

关键词: 血管壁, 小应变, 数学模型, 医学图像分析

Abstract:

It has a great significance to analyze the elastic deformation of the vessel wall for cardiovascular diseases' clinical treatment and the selection of the surgical plan.On the premise of making reasonable assumptions, firstly, establish the deformation model of infinitesimal's displacement.Secondly, use the finite element analysis method to divide the area of the vessel wall into a number of triangular surface infinitesimal, export the triangular surface deformation model by the displacement functions of triangle's three vertices and three sides.Finally, this deformation model is verified by simulation, compared with the literature methods, this method shows that it is able to not only calculate the size but also show the direction of the strain and give the results of the strain in three directions.

Key words: vessel wall, small strain, mechanical model, medical image analysis

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