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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/6543

    Title: 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
    Authors: 朱怡苹;Yi-Ping Chu
    Contributors: 生物物理研究所
    Keywords: 鍵結強度;叢集;受體-配體;deterministic;strength;bond;ligand-receptor cluster
    Date: 2007-01-11
    Issue Date: 2009-09-22 10:21:33 (UTC+8)
    Publisher: 國立中央大學圖書館
    Abstract: 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)。 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).
    Appears in Collections:[生物物理研究所 ] 博碩士論文

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