论文标题
不同合奏中的柔性（蠕虫状）链分子的单分子拉伸实验：理论和有限链长度效应在DNA中划分计数的潜在应用
Single-molecule stretching experiments of flexible (wormlike) chain molecules in different ensembles: Theory and a potential application of finite chain length effects to nick-counting in DNA
论文作者
论文摘要
我们提出了一种形式主义，用于从分析表达式中为其径向分布函数得出柔性链分子的力延长和伸长力关系，该链分子提供了对控制渐近行为和有限链长度校正的因素的洞察力。特别是，我们将这种形式主义应用于我们先前开发的插值公式，用于虫状链端到端距离分布。无限链长度的渐近极限的结果表达与Marko和Siggia的变分理论的数值评估相似，并且比其插值公式更为精确。与数值数据的比较表明，我们对有限链长度校正的分析表达式具有相似的质量。作为结果的应用，我们讨论了从有效链长的随附变化的单分子拉伸实验中，在单分子拉伸实验中推断出双链DNA分子中的划痕数量变化的可能性。
We propose a formalism for deriving force-elongation and elongation-force relations for flexible chain molecules from analytical expressions for their radial distribution function, which provides insight into the factors controlling the asymptotic behavior and finite chain length corrections. In particular, we apply this formalism to our previously developed interpolation formula for the wormlike chain end-to-end distance distribution. The resulting expression for the asymptotic limit of infinite chain length is of similar quality as the numerical evaluation of Marko's and Siggia's variational theory and considerably more precise than their interpolation formula. A comparison to numerical data suggests, that our analytical expressions for the finite-chain length corrections are of similar quality. As an application of our results we discuss the possibility of inferring the changing number of nicks in a double-stranded DNA molecule in single-molecule stretching experiments from the accompanying changes in the effective chain length.
