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研究生: 張志勤
Chang, Chin-Chen
論文名稱: 蛋白酵素F1-ATP合成酶之運動模擬
The simulation of the motion of protein enzyme: F1-ATP synthase
指導教授: 黃明哲
Hung, Ming -Jer
學位類別: 碩士
Master
系所名稱: 工學院 - 工程科學系
Department of Engineering Science
論文出版年: 2003
畢業學年度: 91
語文別: 中文
論文頁數: 59
中文關鍵詞: 運動模擬蛋白酵素
外文關鍵詞: protein enzyme, F1-ATPase
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  • 將蛋白酵素F1-ATP合成酶(F1馬達)放置於含有ATP的溶液後,可取得化學自由能而使其轉動,在轉動過程中會受到三個作用力影響:黏滯阻力、介質流體的布朗運動以及水解ATP所獲得的驅動位勢能,此三個作用力的影響會使得動力衝程以及熱衝擊在提供驅動F1馬達的貢獻比例上會有所不一樣。
    本文會利用Langevin equation計算出在各個時間點上F1馬達轉動所在角位置,以及建構出等效驅動位勢能之外,還會計算出在各個角位置上動力衝程與熱衝擊對驅動F1馬達轉動的貢獻比例。
    結果發現若布朗運動對F1馬達做正功,則驅動F1馬達轉動的機制為動力衝程,而且其所輸出力矩較大;若布朗運動對F1馬達做負功,則驅動F1馬達轉動的機制為動力衝程與熱衝擊參半,而且其所輸出力矩較小。

    Placed protein enzyme, F1-ATPase (F1 motor) into the aqueous liquid that contains ATP, the chemical free energy will be released. This free energy is used to actuate F1 motor rotation. The speed of rotation will be affected by the following forces: viscous drag force, medium fluid Brownian force and driving potential force by ATP hydrolysis. The contributions of power strokes and thermal excitations actuating the F1 motor rotation will be different under the effect of these forces.

    Employing the numerical simulation of the Langevin equation, a sequence of F1 motor angular position versus time is generated. The effective driving potential is then constructed. Finally, the relative contributions of the power strokes and thermal excitation on each angular position are estimated in this paper.

    The results are found that when the positive work done by Brownian motion on the F1 motor, the mechanism of motor is power strokes and the output torque from motor is strong. However, when the negative work done on the F1 motor, the mechanism of motor are both power strokes and thermal excitations, but the output torque is small.

    摘要……………………………………………………………………Ⅰ 英文摘要………………………………………………………………Ⅱ 誌謝……………………………………………………………………Ⅲ 目錄……………………………………………………………………Ⅳ 表目錄…………………………………………………………………Ⅶ 圖目錄…………………………………………………………………Ⅷ 符號說明………………………………………………………………Ⅹ 第一章 緒論……………………………………………………………1 前言………………………………………………………………1 1-1 研究動機與目的……………………………………………1 1-2 文獻回顧……………………………………………………2 第二章 ATP合成酶及F1馬達簡介……………………………………4 2-1 ATP合成酶……………………………………………………4 2-1-1 ATP合成酶簡介……………………………………4 2-1-2 所在位置,命名及組成……………………………5 2-1-3 用途…………………………………………………6 2-1-4 合成ATP的作動過程………………………………6 2-2 F1 馬達………………………………………………………7 2-2-1 F1馬達的簡介………………………………………7 2-2-2水解ATP的過程………………………………………8 2-2-3 F1馬達的運動過程…………………………………8 第三章 F1馬達的運動原理…………………………………………10 3-1 布朗運動(Brownian motion)…………………………10 3-1-1 布朗運動簡介……………………………………10 3-1-2 布朗運動對F1馬達的作用………………………11 3-2 動力衝程(Power stroke)………………………………11 3-2-1 動力衝程簡介……………………………………11 3-2-2 F1 馬達的動力衝程……………………………12 3-3 高Stokes效率的F1馬達……………………………………12 3-3-1 Stokes效率………………………………………12 3-4 β次單位的位勢能…………………………………………13 第四章 等效驅動位勢能的計算……………………………………15 4-1 F1馬達的運動方程式………………………………………15 4-2 等效驅動位勢能(EDP)…………………………………17 4-3 動力衝程(Power stroke)與熱衝擊(Thermal excitation)…19 第五章 結果與討論…………………………………………………21 5-1 區分動力衝程與熱衝擊……………………………………21 5-2 結果驗證……………………………………………………23 第六章 結論與未來研究方向………………………………………25 6-1 結論…………………………………………………………25 6-2 未來研究的方向……………………………………………25 參考文獻………………………………………………………………27 自述……………………………………………………………………46

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