Loops in canonical RNA pseudoknot structures

In this article, we compute the limit distributions of the numbers of hairpin-loops, interior-loops and bulges in k-noncrossing RNA structures. The latter are coarse-grained RNA structures allowing for cross-serial interactions, subject to the constraint that there are at most k - 1 mutually crossin...

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Bibliographic Details
Published in:Journal of computational biology Vol. 18; no. 12; p. 1793
Main Authors: Nebel, Markus E, Reidys, Christian M, Wang, Rita R
Format: Journal Article
Language:English
Published: United States 01.12.2011
Subjects:
Base Sequence
Models, Molecular
Molecular Sequence Data
Nucleic Acid Conformation
RNA - chemistry
RNA, Transfer, Amino Acyl - chemistry
RNA, Transfer, Amino Acyl - genetics
ISSN:1557-8666, 1557-8666
Online Access:Get more information
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Summary:In this article, we compute the limit distributions of the numbers of hairpin-loops, interior-loops and bulges in k-noncrossing RNA structures. The latter are coarse-grained RNA structures allowing for cross-serial interactions, subject to the constraint that there are at most k - 1 mutually crossing arcs in the diagram representation of the molecule. We prove central limit theorems by means of studying the corresponding bivariate generating functions. These generating functions are obtained by symbolic inflation of [Formula: see text]-shapes introduced by Reidys and Wang (2009).
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ISSN:1557-8666
1557-8666
DOI:10.1089/cmb.2010.0022