積體電路的迅速發展使得研究人員與業界開始投注其目光於應用半導體製程技術在生物晶片上的研究，其中目前最令科學界關心的項目有：關於去氧核醣核酸的定序以及病毒染色體在宿主細胞中的轉導過程等。以去氧核醣核酸定序為例，傳統研究者須以離心計等大型裝置耗費長時間比對才能在實驗室中獲得此一關於人類遺傳的重要資訊， 而半導體技術長於在奈米級的尺度下大量形成複製結構與可嵌入電子傳輸測量的特性使得欲普及此類生物晶片來進行遺傳醫學的願景似是指日可待。另外在病毒感染的過程中如何達成染色體傳播的課題目前在學術界亦未有確切共識，以致於在其感染防治上仍有新興方式的發展空間。利用數值模擬去氧核醣核酸長鏈分子的運動行為，或者使用光學鑷子探測染色體的力學特性為習見的研究方式。本論文使用的方法是以振動珠鏈在等比例設計的裝置中進行實驗，藉由高速擷取影像所得到的珠鍊位置速度等統計的結果並使用力學模型來解釋其行為模式。由於實體的珠鏈是由中空鐵珠及連接相鄰鐵珠的啞鈴形鐵線所組成，與一般常用的蒙地卡羅數值模型相當近似，且珠鏈中的鐵珠間互相影響運動的駐留長度特性也和一般研究長鏈分子的特徵相符，這讓我們在可直視的範圍下得以進行單一珠鏈的運動行為量測，並以熵力、摩擦力與衝量或外加施力等基礎物理量建立其力學模型，並據以對其展現的巨觀行為如脫逸時間與開口的幾何關係，或是迴旋半徑與時間的例比關係等進行探討。經由這些統計量與文獻上實際觀察結果的對照，我們可以推估實際去氧核醣核酸長鏈分子的運動模式，並進而提出影響這些遺傳現象的因素使得在探討如何控制這些遺傳現象時呈現清晰的圖像並藉此謀求新技術的可能性。

We use vibrated granular chain to simulate the long chain polymer, with the similarities in the monomer characteristics to the Monte Carlo methodology and in the statistical behaviors to the DNA molecules such as persistence length, radius of gyration, and so on. With the scaled apparatuses, we are able to investigate the kinetic mechanism the chain encountered by determining the statistical properties. The features of genome packaging and ejection during the transconduction, chromogenic electrophoresis through nano capillary, and coil-to-globule transitions are reproduced. Therefore the studies on the global manners of granular chains and their dependence on the experimental geometries contribute to the explanations on the biophysical phenomenon of DNA molecules. This visible simulation with single-chain experiment allows us to control the individual parameters precisely and determine the dominate factors that influence the dynamics. The mechanisms are beneficial to the fundamentals of future biochips applied for DNA computing with the sequencing in genetics, which could be the dominate contributions on disease prevention and medicine development.

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