姓名 |
陳秉宏(Ping-Hung Chen)
查詢紙本館藏 |
畢業系所 |
生物物理研究所 |
論文名稱 |
對藍綠藻概日韻律之Kai蛋白震盪模型的非線性分析 (Nonlinear dynamical analysis of the Kai protein oscillation model in the circadian rhythm)
|
相關論文 | |
檔案 |
[Endnote RIS 格式]
[Bibtex 格式]
[相關文章] [文章引用] [完整記錄] [館藏目錄] [檢視] [下載]- 本電子論文使用權限為同意立即開放。
- 已達開放權限電子全文僅授權使用者為學術研究之目的,進行個人非營利性質之檢索、閱讀、列印。
- 請遵守中華民國著作權法之相關規定,切勿任意重製、散佈、改作、轉貼、播送,以免觸法。
|
摘要(中) |
摘要
藍綠藻是擁有概日韻律現象的最低等生物,Kai蛋白質家族和此韻律高度相關。先前之研究者並發現,在試管中以三種Kai蛋白與ATP便能構築一個試管內的概日韻律震盪子,即Kai蛋白之磷酸態呈現近二十四小時週期之震盪。解析此現象的分子機制或許有助於理解各種生命現象的基本特質。本文介紹此系列相關之研究,並且以非線性動力學的觀點來分析一個描述此現象的數學模型。藉由觀察震盪的振幅及週期,我們發現,調動模型的某些參數時,震盪之出現與消失具有無限週期分岔或是霍普夫分岔的性質。另一角度,由模型得出特徵值的性質,亦可印證霍普夫分岔的發生。
|
摘要(英) |
Abstract
Cyanobacteria is the simplest organism that perform the circadian rhythm. Kai protein family is highly related to this phenomenon. Researchers discovered that a in-vitro circadian rhythmic oscillator can be reconstituted with KaiA, KaiB, KaiC and ATP. That is, the phosphorylation state of KaiC performs 24 hours periodic oscillation. To unravel the molecular mechanism of this phenomenon may be helpful to understand the essential feature of life. In this thesis, we introduce some important research on this topic, and analyze a mathematical model describing the circadian rhythm from the viewpoint of nonlinear dynamics. We tuned the parameters, and observe the amplitude and period of the oscillation. We found, in some cases, the oscillation may emerge or disappear through a Hopf or infinite period bifurcation.
And the evidence in the eigenvalues of the systems also support that Hopf bifurcation indeed happen.
|
關鍵字(中) |
★ 概日韻律 ★ 藍綠藻 ★ 非線性 ★ 生物時鐘 |
關鍵字(英) |
★ cyanobacteria ★ nonlinear ★ circadian rhythm |
論文目次 |
1 Inroduction...........................................1
1-1 Background knowledge of cyanobacteria and circadian rhythm..................................................1
1-2 In-vitro experiment of cyanobacteria’s circadian rhythm..................................................3
1-3 Ordered phosphorylation model.......................6
1-3-1 Background knowledge of KaiC
proteins................................................7
1-3-2 Identification of four ordered phosphoforms............................................7
1-3-3 Construction of Rust’s ordered phophoformed model...................................................9
1-4 Background knowledge of nonlinear dynamic...........10
1-4-1 What is Nonlinear?..............................................11
1-4-2 Graphical analysis.............................11
1-4-3 Bifurcation Analysis...........................14
2 Simulation Method.....................................26
2-1 Preliminary check for the model and program.........27
2-2 The measurement of amplitude and period of phosphorylation oscillation.............................28
2-3 Scaling law.........................................28
2-4 Eigenvalues of the system...........................28
3 Results...............................................31
3-1 Preliminary check for the model and program.........31
3-2 The measurement of amplitude and period of phosphorylation oscillation.............................34
3-3 Scaling law.........................................45
3-4 Eigenvalues of the system...........................47
4 Conclusion and outlook................................48
|
參考文獻 |
[1] M.Nitabach et al. , Science 320,879 (2008)
[2] N.Grobbelaar et al. ,Microbil Lett 37,173 (1986)
[3] M.Ishiura et al. ,Science 281,1519 (1998)
[4] J.Tomita et al. ,Science 307 , 251 (2005)
[5] W.Doolittle et al. ,Adv.Microb.Physiol. 20,1(1979).
[6] H.Iwasaki et al. , Proc.Natl.Acad.Sci.U.S.A. 99,15788 (2002)
[7] T.Nishiwaki etal., Proc.Natl.Acad.Sci.U.S.A. 101,13927(2004)
[8] Y.Xu et al. , Proc.Natl.Acad.Sci.U.S.A. 101,13933 (2004)
[9] M.Nakajima et al. ,Science 308,414(2005).
[10] E.Emberly et. al. Physical Review Letters 96,038303 (2006)
[11] V.Zon et al. PNAS 104 ,7420 (2007)
[12] M.Rust et al. Science,318,809 (2007)
[13] J.Markson et al. FEBS letters 583,3938 (2009)
[14] Strogatz “Nonlinear Dynamics and Chaos” (1995)
[15] http://serc.carleton.edu/microbelife/extreme/extremophiles.html
[16] Y. Kitayama et al. Genes & Development 22,1513 (2008)
[17] M.Rust et al. Science 331,220 (2011)
[18] J.S.Oneil et al. Nature 469 498 (2011)
[19] K.Terauchi et al. PNAS, 104, 16377 (2007)
[20] M.Yoriko et al. The EMBO journal, 30, 68 (2011)
[21] http://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_m xethods
|
指導教授 |
黎璧賢(Pik-yin Lai)
|
審核日期 |
2011-6-22 |
推文 |
facebook plurk twitter funp google live udn HD myshare reddit netvibes friend youpush delicious baidu
|
網路書籤 |
Google bookmarks del.icio.us hemidemi myshare
|