arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1306.2412cond-mat.softphysics.bio-phq-bio.BM
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DNA迁移时间在固态纳米孔中的分布:薛定谔首次通过时间理论分析

On the distribution of DNA translocation times in solid-state nanopores: an analysis using Schrodinger's first-passage-time theory

Daniel Y. Ling, X. S. Ling

摘要:

本文对最近提出的一维线性DNA易位有偏扩散模型的解[1]作了修正,并对[1]中的数据作了新的分析。我们最近指出[2],这个一维线性易位模型等价于Schrodinger [3]所考虑的电子电荷的Enrenhaft-Millikan测量[4,5]。这里我们将薛定谔的首次通过时间分布公式应用于[1]中的数据集。研究发现,薛定谔公式可以用来描述固态纳米孔中DNA移位的时间分布。这些拟合产生两个有用的参数:DNA移位的漂移速度和纳米孔内DNA的扩散常数。结果表明,两种制度的DNA易位:(I)在低电压下,有明显的偏离Smoluchowski的线性电泳定律[6],我们归因于熵势垒效应;(II)在高电压下,易位速度是一个线性函数的施加电场。在区域II中,表观扩散常数表现出对所施加的电场的二次依赖性,表明可能由于纳米孔通道中的电渗流场而引起的泰勒分散效应的机制。该分析产生了纳米孔内DNA片段的无分散扩散常数值,其与斯托克斯-爱因斯坦理论定量一致。讨论了薛定谔公式在DNA测序中的应用。

英文摘要:

In this short note, a correction is made to the recently proposed solution [1] to a 1D biased diffusion model for linear DNA translocation and a new analysis will be given to the data in [1]. It was pointed out [2] by us recently that this 1D linear translocation model is equivalent to the one that was considered by Schrodinger [3] for the Enrenhaft-Millikan measurements [4,5] on electron charge. Here we apply Schrodinger's first-passage-time distribution formula to the data set in [1]. It is found that Schrodinger's formula can be used to describe the time distribution of DNA translocation in solid-state nanopores. These fittings yield two useful parameters: drift velocity of DNA translocation and diffusion constant of DNA inside the nanopore. The results suggest two regimes of DNA translocation: (I) at low voltages, there are clear deviations from Smoluchowski's linear law of electrophoresis [6] which we attribute to the entropic barrier effects; (II) at high voltages, the translocation velocity is a linear function of the applied electric field. In regime II, the apparent diffusion constant exhibits a quadratic dependence on applied electric field, suggesting a mechanism of Taylor dispersion effect likely due the electro-osmotic flow field in the nanopore channel. This analysis yields a dispersion-free diffusion constant value for the segment of DNA inside the nanopore which is in agreement with Stokes-Einstein theory quantitatively. The implication of Schrodinger's formula for DNA sequencing is discussed.

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