A dynamic programming algorithm for nucleosome positions alignment

Yiru Zhang, Chang-Chang Cao, Hongde Liu, Xiao Sun
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Abstract

Nucleosomes are the basic units of eukaryotic chromatin. The nucleosome positioning is dynamic for various cell types and biological states, resulting in specific gene regulation. Currently, there is no approach to find the correspondence between two sets of nucleosomes to reveal the difference of their positions. We develop a method for nucleosome positions alignment based on the dynamic programming algorithm, which can quantify the changes in nucleosome locations with scores and evaluate regional dynamics changes including translation and missing. Given the result of a peak list stands for nucleosome positions, to align the peaks from two samples, our method accumulate all pair scores for match, replacement or deletion and choose the maximum one as the optimal alignment. From nucleosome alignment we can find one-by-one correspondence between nucleosome positions in different cell stages and the conservative stable and variable regions, which can be used to recognize dynamic behaviors of nucleosome shift and eviction.
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核小体位置对齐的动态规划算法
核小体是真核生物染色质的基本单位。核小体的定位在不同的细胞类型和生物状态下是动态的,从而导致特定的基因调控。目前,还没有办法找到两组核小体之间的对应关系来揭示它们位置的差异。我们提出了一种基于动态规划算法的核小体位置比对方法,该方法可以量化核小体位置的变化,并评估包括平移和缺失在内的区域动态变化。给定一个峰列表的结果代表核小体的位置,为了对两个样本的峰进行对齐,我们的方法将所有配对分数累加在一起,用于匹配、替换或删除,并选择最大的一个作为最佳对齐。通过对核小体的比对,我们可以发现核小体在不同细胞阶段的位置与保守的稳定和可变区域之间的一一对应关系,这可以用来识别核小体的移动和移出的动态行为。
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