受體配體叢集在外力下的理論研究

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：11

、訪客IP：3.145.42.94

姓名

朱怡苹(Yi-Ping Chu) 查詢紙本館藏

畢業系所

生物物理研究所

論文名稱

受體配體叢集在外力下的理論研究
(Strength of ligand-receptor cluster under external force : deterministic model)

相關論文

★ 鍺銻碲相變化奈米薄膜之奈米尺度光熱性質的研究	★ 波在一維系統中的傳播與局域化
★ 生物膜黏著引發的相分離—等效膜勢與數值模擬	★ 非平衡生物膜上的區塊形成
★ 液滴上的彈性網絡	★ 兩板間黏著叢集的強度
★ 粒子黏著於生物膜所引發的細胞攝入作用之物理研究	★ 黏著叢集在時變外力下的強度
★ 滲透壓對單層巨型微胞的影響	★ 模擬被clathrin蛋白質覆蓋的板塊狀胞吞作用
★ T細胞受體活化反應之模型	★ Modeling geometrical trajectories of actin-based motility
★ 隨機布耳網路在多連線且臨界情形下的特性	★ 模擬脂質雙層膜上的分子機器
★ 組織動力學之建模	★ Seeking bistabilities in toy models of epithelial tissues

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)

我們提出一個理論模型描述受到外力下的受體-配體叢集，並且修正了在貝爾(Bell) 模型中受體-配體的結合率。藉由研究受體-配體鍵結數目的速率方程式(rate equation)，我們可以估計叢集的穩定度（生命期）。研究結果顯示當一具有N個平行受體-配體鍵結的叢集受到一外力F，叢集的生命期只和作用在一個受體-配體鍵結的力的大小f=F/N 有關。我們定義一臨界力fc：當f小於fc，叢集趨於穩定；當f大於fc，叢集的受體-配體鍵結會全部斷裂；當f等於fc，叢集的受體-配體鍵結會斷裂至一特定的鍵結數目（此時大部分的受體-配體是鍵結的），再經由鍵結受體-配體數的漲落使得叢集繼續斷裂。關於叢集的生命期，我們發現當f-> fc^+時，叢集的生命期小於貝爾模型的預測，並且正比於(f-fc)^(-1/2)。當(f-fc)/fc~O(1)時，叢集的生命期大於貝爾的預測，這主要是由於貝爾和我們的模型的初始受體-配體鍵結數目不同所造成。當f=fc 時，受體-配體鍵結數目的漲落變得重要，我們發現叢集的生命期正比於N^(1/3)。

摘要(英)

We present a theoretical model that describes ligand-receptor cluster under external force. We modify the model of Bell [1] by considering the rebinding of broken bonds in a consistent way. The stability of the cluster is studied by the rate equation of Nb, the number of connected bonds. Our study reveals that for a cluster with N parallel bonds under external force F, the lifetime of the cluster depends only on the force acting on each bond f = F/N. There exists a critical force Fc = Nfc below which the cluster is stable and above which the cluster dissociates. When f = fc, the number of rupture events per unit time is equal to that of rebinding at Nb^* = Nnb^*. We find nb^*~1, i.e., the effect of rebinding is important when most of the bonds are connected. When f approaches fc from above, the cluster spends most of the time near nb^*, the true lifetime of the cluster is shorter than Bell’s prediction and has a power law behavior T ~(f − fc)^(−1/2). We also show that the true lifetime of the cluster is longer than Bell’s prediction when f is significantly greater than fc due to different number of connected bonds predicted by both theories in the absence of force. When f =fc, for a finite size cluster, the bond number fluctuation is important, the lifetime of the cluster is related to the cluster size by T ~N^(1/3).

關鍵字(中)

★ 鍵結強度
★ 叢集
★ 受體-配體

關鍵字(英)

★ deterministic
★ strength
★ bond
★ ligand-receptor cluster

論文目次

Contents
1 Introduction 1
2 Background 6
2.1 Langevin equation . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.2 Smoluchowski equation . . . . . . .. . . . . . . . . . . . . . . . . 7
2.3 Kramers’ escape rate theory . . . . . . . . . . . . . . . . . . . . 9
3 The model 13
3.1 Bell’s model . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.2 Linker elasticity and rebinding rate . . . . . . . . . . . . . . . . 19
3.3 Extended cubic theory for koff at large f . . . . . . . . . . . . . 26
4 Numerical and analytical solution of cluster lifetime 28
4.1 Numerical solution . . . . . . . . . . . . . . . . . . . . . . . . . 28
4.1.1 nb(t) for (f − fc)/fc ∼ O(1) . . . . . . . . . . . . . . . . . . 29
4.1.2 nb(t) for (f − fc)/fc << 1 . . . . . . . . . . . . . . . . . . . 29
4.2 Cluster lifetime near fc . . . . . . . . . . . . . . . . . . . . . . 33
5 Conclusion 38
A Lifetime near critical force: Finite-size effect 40
B Adhesion cluster under constant loading rate 45
References 52

參考文獻

[1] G. I. Bell, Science 200, 618 (1978).
[2] E. Evans, Annu. Rev. Biophys. Biomol. Struct. 30, 105 (2001).
[3] R. Merkel, Phys. Rep. 346, 344 (2001).
[4] E.-L. Florin, V. T. Moy, and H.E. Gaub, Science 264, 415 (1994).
[5] R. Merkel, P. Nassoy, A. Leung, K. Ritchie, and E. Evans, Nature (London) 397, 50 (1999).
[6] K. Prechtel, A. R. Bausch, V. Marchi-Artzner, M. Kantlehner, H. Kessler, and R. Merkel, Phys. Rev. Lett. 89, 028101 (2002).
[7] U. Seifert, Phys. Rev. Lett. 84, 2750 (2000).
[8] T. Erdmann and U. S. Schwarz, Phys. Rev. Lett. 92, 108102 (2004).
[9] T. Erdmann and U. S. Schwarz, Europhys. Lett. 66, 603 (2004).
[10] E. Evans, and K. Ritchie, Biophys. J. 76, 2439 (1999).
[11] U. Seifert, Europhys. Lett. 58, 792 (2002).
[12] A. Garg, Phys. Rev. B 51, 15592 (1995).
[13] H.A. Kramers, Physica (Amsterdam) 7, 284 (1940).
[14] N. G. van Kampen, Stochastic Processes in Physics and Chemistry, revised edition. (North-Holland, Amsterdam, 1992).
[15] J. L. Barrat and J. P. Hansen, Basic Concepts for Simple and Complex Liquids. (Cambridge University Press, 2003).
[16] L. D. Landau and E.M. Lifshitz, Fluid Mechanics. (Prentice-Hall, Englewood CLiffs, NJ, 1962).
[17] M. Doi and S. F. Edwards, The Theory of Polymer Dynamics. (Clarendon, Oxford, 1986).
[18] A. Einstein, Ann. Physik 17, 549 (1905) and 19, 371 (1906).
[19] H. Risken, The Fokker-Planck equation. (Springer-Verlag, Berlin, 1989).
[20] H. Y. Chen and Y. P. Chu, Phys. Rev. E 71, 010901(R)(2005).
[21] E. Evans, A. Leung, V. Heinrich, and C. Zhu, Proc. Natl. Acad. Sci. U.S.A. 101,11281-11286 (2004).
[22] E. Evans and K. Ritchie, Biophys. J. 72, 1541 (1997).
[23] P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equation. (Springer-Verlag, Berlin, 1992).

指導教授

陳宣毅(Hsuan-Yi Chen)

審核日期

2007-1-19

推文