电子学报
電子學報
전자학보
ACTA ELECTRONICA SINICA
2014年
10期
2086-2091
,共6页
血管壁%小应变%数学模型%医学图像分析
血管壁%小應變%數學模型%醫學圖像分析
혈관벽%소응변%수학모형%의학도상분석
vessel wall%small strain%mechanical model%medical image analysis
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。
分析血管壁的彈性形變,對心血管疾病的臨床診治和手術方案選擇有重要意義。在進行閤理假設的前提下,首先建立微元線段的小應變分析模型,再利用有限元分析方法將血管壁區域劃分為若榦三角形麵微元,用三角形的三箇頂點和三條邊的位移函數導齣三角形微元域的形變模型,通過模型計算結果分析及有效性驗證錶明:血管壁小應變力學模型具有較好的適用性和實用性。與文獻方法相比,最後呈現的結果不僅能計算齣應變大小,還能顯示應變方嚮,而且分彆給齣三箇方嚮的應變值。
분석혈관벽적탄성형변,대심혈관질병적림상진치화수술방안선택유중요의의。재진행합리가설적전제하,수선건립미원선단적소응변분석모형,재이용유한원분석방법장혈관벽구역화분위약간삼각형면미원,용삼각형적삼개정점화삼조변적위이함수도출삼각형미원역적형변모형,통과모형계산결과분석급유효성험증표명:혈관벽소응변역학모형구유교호적괄용성화실용성。여문헌방법상비,최후정현적결과불부능계산출응변대소,환능현시응변방향,이차분별급출삼개방향적응변치。
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 .