Asymptotics of a Brownian ratchet for protein translocation

Asymptotics of a Brownian ratchet for protein translocation
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蛋白质易位的布朗棘轮渐进

DOI:
10.1016/j.spa.2010.01.018
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发表时间:
2009
影响因子:
1.4
通讯作者:
P. Pfaffelhuber
P. Pfaffelhuber
中科院分区:
数学3区
文献类型:
--
作者:
A. Depperschmidt;P. Pfaffelhuber

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细胞中的蛋白质易位已经被布朗棘轮模型化。在这样的模型中,蛋白质通过纳米孔扩散。在孔的一侧,棘轮分子与蛋白质结合并阻止其扩散出孔。我们通过一个反射布朗运动[公式:见正文]和一个变化的反射点[公式:见正文]来研究布朗棘轮。Rtis γ(Xt-Rt)和新反射边界的变化率均匀分布在Rt-和Xt之间。棘轮的渐近速度与γ1/3成比例,渐近方差与γ无关。
Protein translocation in cells has been modelled by Brownian ratchets. In such models, the protein diffuses through a nanopore. On one side of the pore, ratcheting molecules bind to the protein and hinder it to diffuse out of the pore. We study a Brownian ratchet by means of a reflected Brownian motion [Formula: see text] with a changing reflection point [Formula: see text] . The rate of change of Rtis γ(Xt−Rt) and the new reflection boundary is distributed uniformly between Rt−and Xt. The asymptotic speed of the ratchet scales with γ1/3and the asymptotic variance is independent of γ.
DOI: 10.1006/jmbi.2000.4302
发表时间: 2001-01-19
影响因子: 5.6
作者:
Liebermeister, W;Rapoport, TA;Heinrich, R
通讯作者: Heinrich, R