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arXiv 1107.5219math.PRq-bio.SC
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蛋白质转位布朗棘轮的现实扩张

Realistic extensions of a Brownian ratchet for protein translocation

A. Depperschmidt, N. Ketterer, P. Pfaffelhuber

摘要:

我们研究了一个模型的蛋白质易位跨膜通过纳米孔使用棘轮机制。当蛋白质进入纳米孔时,其根据布朗运动扩散进出孔。此外,它被阻碍蛋白质扩散出纳米孔的棘轮分子结合,即反映布朗运动,使得没有棘轮分子离开孔。新的棘轮分子以伽马速率结合。扩展我们先前的方法(Depperschaldom和Pfaffelhuber,2010),我们允许棘轮分子从蛋白质解离(以速率δ)(模型I)。我们还提供了一个近似模型(模型II),它假设一个泊松平衡棘轮分子的电流反射边界的一侧。使用分析方法和模拟,我们表明,这两种模型的速度是大致相同的。我们对模型II的分析结果通过一个常微分方程的解给出了易位的速度。

英文摘要:

We study a model for the translocation of proteins across membranes through a nanopore using a ratcheting mechanism. When the protein enters the nanopore it diffuses in and out of the pore according to a Brownian motion. Moreover, it is bound by ratcheting molecules which hinder the diffusion of the protein out of the nanopore, i.e. the Brownian motion is reflected such that no ratcheting molecule exits the pore. New ratcheting molecules bind at rate gamma. Extending our previous approach (Depperschmidt and Pfaffelhuber, 2010) we allow the ratcheting molecules to dissociate (at rate delta) from the protein (Model I). We also provide an approximate model (Model II) which assumes a Poisson equilibrium of ratcheting molecules on one side of the current reflection boundary. Using analytical methods and simulations we show that the speed of both models are approximately the same. Our analytical results on Model II give the speed of translocation by means of a solution of an ordinary differential equation.

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