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arXiv 2105.07155cond-mat.softcond-mat.stat-mechphysics.bio-phq-bio.BM
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核酸螺旋模型中的碱基对涨落

Base pair fluctuations in helical models for nucleic acids

Marco Zoli

摘要:

本文提出了一种估算核酸三维介观模型中碱基对涨落最大振幅的统计方法。碱基对围绕螺旋直径的热振动被视为嵌入在稳定的螺旋结构中的颗粒的布朗运动。返回到初始位置的概率计算,作为时间的函数,通过整合的粒子路径一致的物理性质的模型潜力。首次通过概率的零时间条件定义了选择各种宏观螺旋构象的积分截止的约束,通过调整沿着分子堆叠的相邻碱基对之间的扭曲、弯曲和滑动运动来获得。应用该方法在室温下短的均匀链,我们得到有意义的估计,在扭曲构象的最大波动与$\sim 10.5$碱基对每螺旋转,典型的双链DNA螺旋。解开双螺旋,碱基对波动扩大和积分截止增长。发现在存在缩短螺旋轮廓长度的滑动运动的情况下,截止值也增加,这是dsRNA分子特有的情况。

英文摘要:

A statistical method is developed to estimate the maximum amplitude of the base pair fluctuations in a three dimensional mesoscopic model for nucleic acids. The base pair thermal vibrations around the helix diameter are viewed as a Brownian motion for a particle embedded in a stable helical structure. The probability to return to the initial position is computed, as a function of time, by integrating over the particle paths consistent with the physical properties of the model potential. The zero time condition for the first-passage probability defines the constraint to select the integral cutoff for various macroscopic helical conformations, obtained by tuning the twist, the bending and the slide motion between adjacent base pairs along the molecule stack. Applying the method to a short homogeneous chain at room temperature, we obtain meaningful estimates for the maximum fluctuations in the twist conformation with $\sim 10.5$ base pairs per helix turn, typical of double stranded DNA helices. Untwisting the double helix, the base pair fluctuations broaden and the integral cutoff grows. The cutoff is found to increase also in the presence of a sliding motion which shortens the helix contour length, a situation peculiar of dsRNA molecules.

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