کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4498726 1318996 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Central and local limit theorems for RNA structures
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Central and local limit theorems for RNA structures
چکیده انگلیسی

A k  -noncrossing RNA pseudoknot structure is a graph over {1,…,n}{1,…,n} without 1-arcs, i.e. arcs of the form (i,i+1)(i,i+1) and in which there exists no k-set of mutually intersecting arcs. In particular, RNA secondary structures are 2-noncrossing RNA structures. In this paper we prove a central and a local limit theorem for the distribution of the number of 3-noncrossing RNA structures over n nucleotides with exactly h bonds. Our analysis employs the generating function of k-noncrossing RNA pseudoknot structures and the asymptotics for the coefficients. The results of this paper explain the findings on the number of arcs of RNA secondary structures obtained by molecular folding algorithms and are of relevance for prediction algorithms of k-noncrossing RNA structures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Theoretical Biology - Volume 250, Issue 3, 7 February 2008, Pages 547–559
نویسندگان
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