منابع مشابه
Shapes of topological RNA structures.
A topological RNA structure is derived by fattening the edges of a contact structure into ribbons. The shape of a topological RNA structure is obtained by collapsing the stacks of the structure into single arcs and by removing any arcs of length one, as well as isolated vertices. A shape contains the key topological information of the molecular conformation and for fixed topological genus there...
متن کاملRelation Between RNA Sequences, Structures, and Shapes via Variation Networks
Background: RNA plays key role in many aspects of biological processes and its tertiary structure is critical for its biological function. RNA secondary structure represents various significant portions of RNA tertiary structure. Since the biological function of RNA is concluded indirectly from its primary structure, it would be important to analyze the relations between the RNA sequences and t...
متن کاملShapes of RNA Pseudoknot Structures
In this article, we study abstract shapes of k-noncrossing, σ-canonical RNA pseudoknot structures. We consider lv1k- and lv5k-shapes, which represent a generalization of the abstract π'- and π-shapes of RNA secondary structures introduced by Giegerich et al. Using a novel approach, we compute the generating functions of lv1k- and lv5k-shapes as well as the generating functions of all lv1k- and ...
متن کاملrelation between rna sequences, structures, and shapes via variation networks
background: rna plays key role in many aspects of biological processes and its tertiary structure is critical for its biological function. rna secondary structure represents various significant portions of rna tertiary structure. since the biological function of rna is concluded indirectly from its primary structure, it would be important to analyze the relations between the rna sequences and t...
متن کاملStatistics of topological RNA structures.
In this paper we study properties of topological RNA structures, i.e. RNA contact structures with cross-serial interactions that are filtered by their topological genus. RNA secondary structures within this framework are topological structures having genus zero. We derive a new bivariate generating function whose singular expansion allows us to analyze the distributions of arcs, stacks, hairpin...
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ژورنال
عنوان ژورنال: Mathematical Biosciences
سال: 2015
ISSN: 0025-5564
DOI: 10.1016/j.mbs.2015.10.004