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姓名 楊政瑋(Cheng-Wei Yung)  查詢紙本館藏   畢業系所 機械工程學系
論文名稱 細胞在組織工程支架之生長與遷移
(The cell proliferates and migrates in a polymer scaffold.)
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摘要(中) 本文建立軟骨細胞在多孔性聚合物支架的增殖與遷移以及養份消耗的數學模型。為了驗證所建立的數學模型的可靠度,我們先與之前學者的實驗數據做比對。然後對於四個種植位置探討,因為細胞的遷移影響,細胞體積分率及養分濃度的改變。模擬培養40天後結果發現,四個種植位置的細胞體積分率的相對大小,會隨著時間增加而改變。軟骨細胞會受到化學趨向性的遷移和隨機漫步的移動的增加會讓細胞的生長速率增加,但細胞對養份的消耗量增加,則會降低細胞的生長速率,物理參數的執行分析和結果定性的比較討論都在論文中說明。
摘要(英) A mathematical model describing chondrocyte proliferation and migration, and nutrient consumption is developed to analyze the behavior of cell growth in a polymer scaffold. In order to check the validity of the mathematical model, the result of simulation is compared to the previous experiment in the literature. Then we probe for four different seeding positions the influence of the migration of cells on the volume fractional variation of cells and nutrient concentration. During the 40 days of simulated cultivation, the relative magnitudes of volume fraction of cells change with time. The proliferous rate of cells increases with increasing the chemotactic and random walk intensity, but decreases with the consumption rate of nutrient. A parametric analysis is performed and the result is compared qualitatively with previous findings in the literature.
關鍵字(中) ★ 組織工程
★ 細胞遷移
★ 細胞培養數學模型
關鍵字(英) ★ tissue engineering
★ cell culture mathematical model
★ cell migration
論文目次 目錄
中央大學碩士論文授權書
論文指導教授推薦函
論文口試委員審定書
中文摘要
英文摘要
目錄
表目錄
圖目錄
符號說明
第一章 緒論 1
1.1 前言 1
1.2 研究背景 2
1.3 研究動機 6
第二章 物理系統與數學模型 8
2.1 物理系統及基本假設 8
2.2 養分消耗的擴散方程式 9
2.3 細胞生長與移動方程式 11
2.4 統御方程式簡化 15
2.5 無因次化統御方程式與無因次參數定義 16
2.6 無因次化邊界條件 18
第三章 數值計算軟體 20
3.1 Femlab介紹 20
3.2 Femlab系統設定 21
3.2.1 建立系統幾何外型 21
3.2.2 輸入參數、統御方程式與邊界條件 21
3.2.3 網格建立 25
第四章 結果與討論 27
4.1 數學模型驗證 27
4.2 細胞種植不同位置的結果 28
4.2.1 模擬細胞在 下不同種植位置的結果 29
4.2.2 模擬細胞在 不同位置的結果 32
4.3 改變無因次化參數對細胞生長的影響 36
第五章 結論 39
參考文獻 41
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楊婷琪,2002. 組織工程醫療應用與產品之發展. 工研院經資中心
張根源,2002. 組織工程技術與應用. 化工科技與商情,33: 27-31
指導教授 鍾志昂(Chih-Ang Chung) 審核日期 2005-7-20
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