Translocation of rodlike polymers through membrane channels

Translocation of rodlike polymers through membrane channels
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DOI:
10.1016/s0006-3495(03)74898-x
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发表时间:
2003-02-01
影响因子:
3.4
通讯作者:
Gopich, IV
Gopich, IV
中科院分区:
生物学3区
文献类型:
--
作者:
Berezhkovskii, AM;Gopich, IV

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提出了在任意强度驱动力作用下,长棒状大分子通过薄膜的通道促进运输理论。导出了大分子在通道中停留时间的概率密度的易位概率和拉普拉斯变换的解析表达式。我们还推导了大分子通过易位和非易位(返回)在通道中花费的时间(条件)概率密度的表达式。这些结果用于研究聚合物链长度和驱动力对通道中大分子寿命分布的影响。结果表明,根据参数值的不同,寿命概率密度可能有一个或两个峰值。我们的理论是对Lubensky和Nelson提出的理论的概括,他们的灵感来自于最近关于单链RNA和DNA分子通过狭窄膜中的单一通道驱动易位的实验。
A theory of channel-facilitated transport of long rodlike macromolecules through thin membranes under the influence of a driving force of arbitrary strength is developed. Analytic expressions are derived for the translocation probability and the Laplace transform of the probability density of time that a macromolecule spends in the channel. We also derive expressions for the (conditional) probability densities of time spent in the channel by translocating and nontranslocating (returning back) macromolecules. These results are used to study how the distribution of the macromolecule lifetime in the channel depends on a polymer chain length and the driving force. It is shown that depending on the values of the parameters, the lifetime probability density may have one or two peaks. Our theory is a generalization of the theory developed by Lubensky and Nelson, who were inspired by recent experiments on driven translocation of single-stranded RNA and DNA molecules through single channels in narrow membranes.