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研究生: 吳梓名
Wu, Tzu-Ming
論文名稱: COMSOL有限元素分析法建模及分析主動脈流速資料
Modeling and analyzing aortic velocity data with COMSOL finite element methods
指導教授: 藍永強
Lan, Yung-Chiang
學位類別: 碩士
Master
系所名稱: 理學院 - 光電科學與工程學系
Department of Photonics
論文出版年: 2020
畢業學年度: 108
語文別: 中文
論文頁數: 69
中文關鍵詞: 建模流速分析壓力分佈壁面剪應力
外文關鍵詞: modeling, flow velocity analysis, pressure distribution, wall shear stress
相關次數: 點閱:143下載:5
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  • 本論文為研究MRI掃描實際狀態主動脈與理想狀態主動脈之間的比較狀況,透過有限元素分析軟體COMSOL Multiphysics進行建模與數據分析。
    MRI掃描主動脈是用成功大學醫院的MRI磁振造影系統提供磁相位資料,透過Matlab轉換流速數據資料,利用此資料計算血管壁座標,再輸入COMSOL來建模及流速模擬,最後分析結果;理想狀態主動脈則是使用COMSOL建立平滑血管壁的理想模型,輸入流速數據進行模擬。
    經由COMSOL建模及模擬後,透過操作進行流速分佈、壓力分佈的數據圖與圖像分析,比較兩者的模擬差異,甚至經由同一個模型,輸入不同的流速資料,來分析不同流速時的狀況。

    Due to the advancement of science and technology in recent years, medical attention has been paid to non-invasive examinations. Among them, the technology in the MRI is widely used because of its non-radioactive characteristics. The data provided by MRI includes a complete three-dimensional flow velocity field. After combining with COMSOL Multiphysics, it can be modeled and set, and then simple operations can be used to analyze the simulation results. This paper uses MRI flow rate data to write a program calculation in Matlab software to obtain the data required for modeling in COMSOL Multiphysics, and enter the flow rate setting value for simulation. Finally, the simulation results are analyzed, and image analysis of hemodynamics such as flow velocity profile, pressure profile, pressure gradient, wall shear stress, etc. can be performed.

    口試合格證明 .......................................... II 中文摘要.............................................. III 英文摘要............................................... IV 致謝................................................. XVI 目錄................................................ XVII 圖目錄............................................... XIX 第一章 序論..............................................1 1-1 壓力梯度(PRESSURE GRADIENT) .........................1 1-2 壁面剪應力(WALL SHEAR STRESS)簡介....................2 1-3 論文動機.............................................3 第二章 有限元素分析法.....................................5 2-1 有限元素分析法的基本概念...............................5 2-2 微分方程的弱形式(WEAK FORMULATION)....................6 2-3 有限元素分析-離散化...................................8 2-4 有限元素方程式求解...................................11 2-5 有限元素分析軟體-COMSOL..............................12 第三章 研究方法.........................................15 3-1 那微史托克方程式(NAVIER-STOKES EQUATIONS) ...........15 3-2 壁面剪應力(WALL SHEAR STRESS) ......................17 3-2.1 牛頓流體(Newtonian fluids).......................18 3-2.2 泊肅葉定律(Poiseuille’s law) ....................19 第四章 實際與理想狀態之主動脈研究.........................25 4-1 主動脈建模及模擬演示.................................25 4-2 主動脈瘤模型演示....................................36 4-3 MRI掃描實際狀態主動脈與理想狀態主動脈..................50 第五章 結論.............................................66 參考文獻................................................67

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