Han Hillary S W, Reidys Christian M
Institut for Matematik og Datalogi, University of Southern Denmark, Odense, Denmark.
J Comput Biol. 2012 Jul;19(7):867-78. doi: 10.1089/cmb.2011.0301. Epub 2012 Jun 25.
Recently, Yoffe and colleagues observed that the average distances between 5'-3' ends of RNA molecules are very small and largely independent of sequence length. This observation is based on numerical computations as well as theoretical arguments maximizing certain entropy functionals. In this article, we compute the exact distribution of 5'-3' distances of RNA secondary structures for any finite n. Furthermore, we compute the limit distribution and show that for n = 30 the exact distribution and the limit distribution are very close. Our results show that the distances of random RNA secondary structures are distinctively lower than those of minimum free energy structures of random RNA sequences.
最近，约菲及其同事观察到，RNA分子5'-3'末端之间的平均距离非常小，且在很大程度上与序列长度无关。这一观察结果基于数值计算以及使某些熵泛函最大化的理论论证。在本文中，我们计算了任意有限n时RNA二级结构5'-3'距离的精确分布。此外，我们计算了极限分布，并表明当n = 30时，精确分布和极限分布非常接近。我们的结果表明，随机RNA二级结构的距离明显低于随机RNA序列最小自由能结构的距离。
