非線性動力學分析在單分子生物光譜的應用

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題名:	非線性動力學分析在單分子生物光譜的應用
其他題名:	Application of Nonlinear Dynamical Analysis on Single-Molecule Bio-Spectroscopy
作者:	林宗欣
貢獻者:	行政院國家科學委員會東海大學物理學系
日期:	2009
上傳時間:	2011-07-25T01:13:52Z (UTC)
摘要:	單分子光譜?僅可以用?檢驗分子性質的分佈?況，也可以將一般隱藏在系綜實驗的訊息尋找出?。在生物物?方面的應用上，主要用在闡明生物高分子在?同的條件下的構型動?學的本質。以光?偵測在單分子尺?下的結構動?學，通常是透過監視發光子的螢光及其隨時間變化?況，而取出分子動?學的訊息。其中可得到最慢時間尺?的動?學是由螢光訊號時間軌跡的長?所決定的，而這個長?通常受限於?可回?之光化學過程。另一方面，統計的分析則要求在某個特定的時間間隔內，必須有足夠的光子被偵測到。因此，想要觀察到時間尺?快於偵測時間間隔的動?學也相當困難。在過去的幾十??，研究人員致?於?用混沌??的想法，去處?以傳統分析方法而言是雜?但卻蘊含?許多結構的訊號。這些問題涵蓋?生物、生?、地球物?、經濟及其他許多的科學學門。從應用的觀點?看，最獨特的莫過於在處?非線性隨機過程的非穩定訊號時，?用時間延遲的方法，以訊號的時間軌跡去重建?態空間。因此，將非線性時間軌跡的分析，應用在決定性系統上的確相當有?。在一個非線性(或稱複雜)系統中，即使是簡單的模型，或許是微觀的或許是現象學的，也可以產生出相當複雜的動?學。因此，很難證明某人所建?的模型與真實實驗系統所?測到的訊號是否有?好的對應。通常好的模型是很缺乏的，因此我們必須從所觀察?測時間軌跡去研究。非線性系統的??正好提供?我們新的工具及一些特定?去探討?規則時間軌跡的特性。我們相信微觀的生物系統無疑的是個非線性及複雜系統。在這個計畫中，我們將試著用非線性動?學的方法?提升、處?及分析所?測到的生物光譜訊號。此外，我們也將試著以非線性動?學??探討?學推導在實際應用上的可?性。我們希望一些以傳統方法無法處?的生物光譜訊號，可以透過此項工作找到解答。 Single-molecule spectroscopy provides a good way to not only determine the distribution of molecular properties but also extract dynamical information that is otherwise eliminated in ensemble-averaged experiments. Applications to biophysical studies have aimed at elucidating the nature of conformational dynamics in biopolymers under different conditions. Optically probing structural dynamics at the single-molecule level requires monitoring of fluorescence of chromophores and the time evolution to extract the information on molecular dynamics. The slowest accessible dynamical process is determined by the length of the fluorescence time trace, which is often limited by irreversible photochemical processes. On the other hand, statistical analysis demands that a number of photons be averaged within a binning time. Therefore, it is difficult to observe dynamics that occur on a time scale faster than the binning time. In the previous decades, great efforts are being made to exploit ideas from chaos theory wherever the data display more structure than be captured by traditional methods. Problems of this are not only in biology and physiology but also in geophysics, economics and many other sciences. In view of applications, one of the most relevant novelties is the treatment of non-stationary data sets and of nonlinear stochastic process inside the framework of a state space reconstruction by method of delay. Hence, nonlinear time trace analysis has left the rather narrow niche of strictly deterministic systems. In a nonlinear (or called complex) system, even simple models, be they microscopic or phenomenological, can create extremely complicated dynamics. It is difficult to verify whether one’s model is good counterpart to the equally complicated signal that one receives from experiments. Very often, good models are lacking and one has to study the observations made in a single time trace. The theory of nonlinear dynamical systems provides new tools and quantities for characterization of irregular time trace. Microscopic bio-systems, we believe, are undoubtedly nonlinear and complex systems. In this project, we will try to find methods in nonlinear dynamics for processing, enhancing, and analyzing the measured bio-spectroscopy signals. Besides, we will also try to make discussions about the practical applicability of mathematical results theoretically. We hope that some bio-spectroscopy data which cannot be solved by traditional, linear methods will find inspiring solutions in this work.
關聯:	研究編號：NSC96-2112-M029-007-MY3 研究期間：2009-08~ 2010-07
顯示於類別:	[應用物理學系所] 國科會研究報告

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非線性動力學分析在單分子生物光譜的應用（第1年）.PDF	75Kb	Adobe PDF	203	檢視/開啟
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