MOTIVATION Several algorithms have been developed for drawing RNA secondary structures, however none of these can be used to draw RNA pseudoknot structures. In the sense of graph theory, a drawing of RNA secondary structures is a tree, whereas a drawing of RNA pseudoknots is a graph with inner cycles within a pseudoknot as well as possible outer cycles formed between a pseudoknot and other stru...

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 ...

Predicting RNA secondary structure is often the first step to determining the structure of RNA. Prediction approaches have historically avoided searching for pseudoknots because of the extreme combinatorial and time complexity of the problem. Yet neglecting pseudoknots limits the utility of such approaches. Here, an algorithm utilizing structure mapping and thermodynamics is introduced for RNA ...

The genomic RNA of tobacco mosaic virus (TMV), like that of other positive-strand RNA viruses, acts as a template for both translation and replication. The highly structured 3' untranslated region (UTR) of TMV RNAs plays an important role in both processes; it is not polyadenylated but ends with a tRNA-like structure (TLS) preceded by a conserved upstream pseudoknot domain (UPD). The TLS of tob...

Prediction and alignment of RNA pseudoknot structures are NP-hard. Nevertheless, several efficient prediction algorithms by dynamic programming have been proposed for restricted classes of pseudoknots. We present a general scheme that yields an efficient alignment algorithm for arbitrary such classes. Moreover, we show that such an alignment algorithm benefits from the class restriction in the ...

-1 Programmed ribosomal frameshifting (PRF) in synthesizing the gag-pro precursor polyprotein of Simian retrovirus type-1 (SRV-1) is stimulated by a classical H-type pseudoknot which forms an extended triple helix involving base-base and base-sugar interactions between loop and stem nucleotides. Recently, we showed that mutation of bases involved in triple helix formation affected frameshifting...

The 3' splice site of the influenza A segment 7 transcript is utilized to produce mRNA for the critical M2 ion-channel protein. In solution a 63 nt fragment that includes this region can adopt two conformations: a pseudoknot and a hairpin. In each conformation, the splice site, a binding site for the SF2/ASF exonic splicing enhancer and a polypyrimidine tract, each exists in a different structu...

Various systems have been proposed to predict secondary structures of RNAs using their sequence information. Among them, Uemura et al. [2] described a system that recognizes some typical RNA secondary structures such as hairpin loops and pseudoknots with Tree Adjoining Grammar. However, their work captures only known sub-structures, and not those unknown sub-structures that might also exist. Te...