• The CM(covariation model) files built and calibrated from the curated alignments above are in folder CM files. For each family, the cm files for all alternative structures are included. However, the pseudoknotted hairpin is removed from both HDV ribozyme (the active structure) and SAM riboswitch (the SAM-bound structure) as Infernal does not handle pseudoknotted structure. In the active struc...

The secondary structure of satellite tobacco mosaic virus (STMV) RNA was predicted using computer simulations of RNA folding. The analogies of structural elements in the 3' end untranslated regions (3'-UTR) of tobamoviral RNAs were analysed. In addition to the tRNA-like structure and pseudoknot stalk, which are found in all known RNAs of tobamoviruses and STMV, another region of stable consecut...

In this paper we enumerate k-noncrossing RNA pseudoknot structures with given minimum stack-length. We show that the numbers of k-noncrossing structures without isolated base pairs are significantly smaller than the number of all k-noncrossing structures. In particular we prove that the number of 3and 4-noncrossing RNA structures with stack-length ≥ 2 is for large n given by 311.2470 4! n(n−1)....

Structural and dynamic features of RNA folding landscapes represent critical aspects of RNA function in the cell and are particularly central to riboswitch-mediated control of gene expression. Here, using single-molecule fluorescence energy transfer imaging, we explore the folding dynamics of the preQ1 class II riboswitch, an upstream mRNA element that regulates downstream encoded modification ...

A k-noncrossing RNA pseudoknot structure is a graph over {1,...,n} without 1-arcs, i.e. arcs of the form (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...

The 3'-untranslated region (UTR) of tobacco mosaic virus (TMV), which terminates in a tRNA-like structure, functionally substitutes for a poly(A) tail in both plant and animal cells. The addition of the TMV 3'-UTR to chimeric mRNA constructs increases their expression up to 100-fold, increasing both translational efficiency and mRNA stability. The domain largely responsible for the regulation m...

In this paper we study γ-structures filtered by topological genus. γ-structures are a class of RNA pseudoknot structures that plays a key role in the context of polynomial time folding of RNA pseudoknot structures. A γ-structure is composed by specific building blocks, that have topological genus less than or equal to γ, where composition means concatenation and nesting of such blocks. Our main...

Several grammars have been proposed for representing RNA secondary structure including pseudoknots such as simple linear tree adjoining grammar (sl-tag), extended sl-tag (esl-tag) and RNA pseudoknot grammar (rpg). The main purpose of this paper is to compare the generative power of these grammars by identifying them as subclasses of multiple context-free grammars (mcfg). Specifically, it is sho...

RNA function is dependent on its structure, yet three-dimensional folds for most biologically important RNAs are unknown. We develop a generic discrete molecular dynamics-based modeling system that uses long-range constraints inferred from diverse biochemical or bioinformatic analyses to create statistically significant (p < 0.01) nativelike folds for RNAs of known structure ranging from 45 to ...