Loops in Canonical RNA Pseudoknot Structures
Copyright policy )Loops in Canonical RNA Pseudoknot Structures
In this paper 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 Ik5-shapes.
- Bielefeld University Germany
- Nankai University China (People's Republic of)
- Santa Fe Institute United States
- University of Kaiserslautern Germany
- Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau Germany
Models, Molecular, Base Sequence, 05A16, Molecular Sequence Data, FOS: Mathematics, Mathematics - Combinatorics, Nucleic Acid Conformation, RNA, Combinatorics (math.CO), RNA, Transfer, Amino Acyl
Models, Molecular, Base Sequence, 05A16, Molecular Sequence Data, FOS: Mathematics, Mathematics - Combinatorics, Nucleic Acid Conformation, RNA, Combinatorics (math.CO), RNA, Transfer, Amino Acyl
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!