Thermodynamics of three-way multibranch loops in RNA

RNA multibranch loops (junctions) are loops from which three or more helices exit. They are nearly ubiquitous in RNA secondary structures determined by comparative sequence analysis. In this study, systems in which two strands combine to form three-way junctions were used to measure the stabilities of RNA multibranch loops by UV optical melting and isothermal titration calorimetry (ITC). These data were used to calculate the free energy increment for initiation of a three-way junction on the basis of a nearest neighbor model for secondary structure stability. Imino proton NMR spectra were also measured for two systems and are consistent with the hypothesized helical structures. Incorporation of the experimental data into the mfold and RNA structure computer programs has contributed to an improvement in prediction of RNA secondary structure from sequence.     

Fluorescence competition and optical melting measurements of RNA three-way multibranch loops provide a revised model for thermodynamic parameters

Three-way multibranch loops (junctions) are common in RNA secondary structures. Computer algorithms such as RNAstructure and MFOLD do not consider the identity of unpaired nucleotides in multibranch loops when predicting secondary structure. There is limited experimental data, however, to parametrize this aspect of these algorithms. In this study, UV optical melting and a fluorescence competition assay are used to measure stabilities of multibranch loops containing up to five unpaired adenosines or uridines or a loop E motif. These results provide a test of our understanding of the factors affecting multibranch loop stability and provide revised parameters for predicting stability. The results should help to improve predictions of RNA secondary structure.     

A cis-acting replication element in the sequence encoding the NS5B RNA-dependent RNA polymerase is required for hepatitis C virus RNA replication

RNA structures play key roles in the replication of RNA viruses. Sequence alignment software, thermodynamic RNA folding programs, and classical comparative phylogenetic analysis were used to build models of six RNA elements in the coding region of the hepatitis C virus (HCV) RNA-dependent RNA polymerase, NS5B. The importance of five of these elements was evaluated by site-directed mutagenesis of a subgenomic HCV replicon. Mutations disrupting one of the predicted stem-loop structures, designated 5BSL3.2, blocked RNA replication, implicating it as an essential cis-acting replication element (CRE). 5BSL3.2 is about 50 bases in length and is part of a larger predicted cruciform structure (5BSL3). As confirmed by RNA structure probing, 5BSL3.2 consists of an 8-bp lower helix, a 6-bp upper helix, a 12-base terminal loop, and an 8-base internal loop. Mutational analysis and structure probing were used to explore the importance of these features. Primary sequences in the loops were shown to be important for HCV RNA replication, and the upper helix appears to serve as an essential scaffold that helps maintain the overall RNA structure. Unlike certain picornavirus CREs, whose function is position independent, 5BSL3.2 function appears to be context dependent. Understanding the role of 5BSL3.2 and determining how this new CRE functions in the context of previously identified elements at the 5' and 3' ends of the RNA genome should provide new insights into HCV RNA replication.     

Expanded sequence dependence of thermodynamic parameters improves prediction of RNA secondary structure.

An improved dynamic programming algorithm is reported for RNA secondary structure prediction by free energy minimization. Thermodynamic parameters for the stabilities of secondary structure motifs are revised to include expanded sequence dependence as revealed by recent experiments. Additional algorithmic improvements include reduced search time and storage for multibranch loop free energies and improved imposition of folding constraints. An extended database of 151,503 nt in 955 structures? determined by comparative sequence analysis was assembled to allow optimization of parameters not based on experiments and to test the accuracy of the algorithm. On average, the predicted lowest free energy structure contains 73 % of known base-pairs when domains of fewer than 700 nt are folded; this compares with 64 % accuracy for previous versions of the algorithm and parameters. For a given sequence, a set of 750 generated structures contains one structure that, on average, has 86 % of known base-pairs. Experimental constraints, derived from enzymatic and flavin mononucleotide cleavage, improve the accuracy of structure predictions.     

In vitro selection of RNAs with increased tertiary structure stability.

An in vitro selection system was devised to select RNAs based on their tertiary structural stability, independent of RNA activity. Selection studies were conducted on the P4-P6 domain from the Tetrahymena thermophila group I intron, an autonomous self-folding unit that contains several important tertiary folding motifs including the tetraloop receptor and the A-rich bulge. Partially randomized P4-P6 molecules were selected based on their ability to fold into compact structures using native gel electrophoresis in the presence of decreasing concentrations of MgCl2. After 10 rounds of the selection process, a number of sequence alterations were identified that stabilized the P4-P6 RNA. One of these, a single base deletion of C209 within the P4 helix, significantly stabilized the P4-P6 molecule and would not have been identified by an activity-based selection because of its essential role for ribozyme function. Additionally, the sequence analysis provided evidence that stabilization of secondary structure may contribute to overall tertiary stability for RNAs. This system for probing RNA structure irrespective of RNA activity allows analysis of RNA structure/function relationships by identifying nucleotides or motifs important for folding and then comparing them with RNA sequences required for function.     

Experimentally derived nearest-neighbor parameters for the stability of RNA three- and four-way multibranch loops.

Algorithms for predicting RNA secondary structure require approximations for the free energies of multibranch loops, also called junctions. The stabilities of 62 RNA duplexes with three- and four-way multibranch loops were determined by optical melting. To account for the observed sequence dependence, a revised loop free-energy approximation is proposed that accounts for the strain in three-way junctions with fewer than two unpaired nucleotides, penalizes asymmetry in the distribution of unpaired nucleotides, and gives a bonus for four-way loops relative to three-way loops. Parameters for this equation were determined by linear regression.     

Common structural features of the Ro RNP associated hY1 and hY5 RNAs.

The secondary structures of human hY1 and hY5 RNAs were determined using both chemical modification techniques and enzymatic structure probing. The results indicate that both for hY1 and for hY5 RNA the secondary structure largely corresponds to the structure predicted by sequence alignment and computerized energy-minimization. However, some important deviations were observed. In the case of hY1 RNA, two regions forming a predicted helix appeared to be single-stranded. Furthermore, the pyrimidine-rich region of hY1 RNA appeared to be very resistant to reagents under native conditions, although it was accessible to chemical reagents under semi-denaturing conditions. This may point to yet unidentified tertiary interactions for this region of hY1 RNA. In the case of hY5 RNA, two neighbouring internal loops in the predicted structure appeared to form one large internal loop.     

NMR structure of the full-length linear dimer of stem-loop-1 RNA in the HIV-1 dimer initiation site

The packaging signal of HIV-1 RNA contains a stem-loop structure, SL1, which serves as the dimerization initiation site for two identical copies of the genome and is important for packaging of the RNA genome into the budding virion and for overall infectivity. SL1 spontaneously dimerizes via a palindromic hexanucleotide sequence in its apical loop, forming a metastable kissing dimer form. Incubation with nucleocapsid protein causes this form to refold to a thermodynamically stable mature linear dimer. Here, we present an NMR structure of the latter form of the full-length SL1 sequence of the Lai HIV-1 isolate. The structure was refined using nuclear Overhauser effect and residual dipolar coupling data. The structure presents a symmetric homodimer of two RNA strands of 35 nucleotides each; it includes five stems separated by four internal loops. The central palindromic stem is surrounded by two symmetric adenine-rich 1-2 internal loops, A-bulges. All three adenines in each A-bulge are stacked inside the helix, consistent with the solution structures of shorter SL1 constructs determined previously. The outer 4-base pair stems and, proximal to them, purine-rich 1-3 internal loops, or G-bulges, are the least stable parts of the molecule. The G-bulges display high conformational variability in the refined ensemble of structures, despite the availability of many structural restraints for this region. Nevertheless, most conformations share a similar structural motif: a guanine and an adenine from opposite strands form a GA mismatch stacked on the top of the neighboring stem. The two remaining guanines are exposed, one in the minor groove and another in the major groove side of the helix, consistent with secondary structure probing data for SL1. These guanines may be recognized by the nucleocapsid protein, which binds tightly to the G-bulge in vitro.     

Predicting Secondary Structural Folding Kinetics for Nucleic Acids

We report a new computational approach to the prediction of RNA secondary structure folding kinetics. In this approach, each elementary kinetic step is represented as the transformation between two secondary structures that differ by a helix. Based on the free energy landscape analysis, we identify three types of dominant pathways and the rate constants for the kinetic steps: 1), formation; 2), disruption of a helix stem; and 3), helix formation with concomitant partial melting of a competing (incompatible) helix. The third pathway, termed the tunneling pathway, is the low-barrier dominant pathway for the conversion between two incompatible helices. Comparisons with experimental data indicate that this new method is quite reliable in predicting the kinetics for RNA secondary structural folding and structural rearrangements. The approach presented here may provide a robust first step for further systematic development of a predictive theory for the folding kinetics for large RNAs.     

Exploring the complex folding kinetics of RNA hairpins: II. Effect of sequence, length, and misfolded states

The complexity of RNA hairpin folding arises from the interplay between the loop formation, the disruption of the slow-breaking misfolded states, and the formation of the slow-forming native base stacks. We investigate the general physical mechanism for the dependence of the RNA hairpin folding kinetics on the sequence and the length of the hairpin loop and the helix stem. For example, 1), the folding would slow down when a stable GC basepair moves to the middle of the stem; 2), hairpin with GC basepair near the loop would fold/unfold faster than the one with GC near the tail of the stem; 3), within a certain range of the stem length, a longer stem can cause faster folding; and 4), certain misfolded states can assist folding through the formation of scaffold structures to lower the entropic barrier for the folding. All our findings are directly applicable and quantitatively testable in experiments. In addition, our results can be useful for molecular design to achieve desirable fast/slow-folding hairpins, hairpins with/without specific misfolded intermediates, and hairpins that fold along designed pathways.     

Structural parameters affecting the kinetics of RNA hairpin formation

There is little experimental knowledge on the sequence dependent rate of hairpin formation in RNA. We have therefore designed RNA sequences that can fold into either of two mutually exclusive hairpins and have determined the ratio of folding of the two conformations, using structure probing. This folding ratio reflects their respective folding rates. Changing one of the two loop sequences from a purine- to a pyrimidine-rich loop did increase its folding rate, which corresponds well with similar observations in DNA hairpins. However, neither changing one of the loops from a regular non-GNRA tetra-loop into a stable GNRA tetra-loop, nor increasing the loop size from 4 to 6 nt did affect the folding rate. The folding kinetics of these RNAs have also been simulated with the program ‘Kinfold’. These simulations were in agreement with the experimental results if the additional stabilization energies for stable tetra-loops were not taken into account. Despite the high stability of the stable tetra-loops, they apparently do not affect folding kinetics of these RNA hairpins. These results show that it is possible to experimentally determine relative folding rates of hairpins and to use these data to improve the computer-assisted simulation of the folding kinetics of stem–loop structures.     

How RNA folds.

We describe the RNA folding problem and contrast it with the much more difficult protein folding problem. RNA has four similar monomer units, whereas proteins have 20 very different residues. The folding of RNA is hierarchical in that secondary structure is much more stable than tertiary folding. In RNA the two levels of folding (secondary and tertiary) can be experimentally separated by the presence or absence of Mg2+. Secondary structure can be predicted successfully from experimental thermodynamic data on secondary structure elements: helices, loops, and bulges. Tertiary interactions can then be added without much distortion of the secondary structure. These observations suggest a folding algorithm to predict the structure of an RNA from its sequence. However, to solve the RNA folding problem one needs thermodynamic data on tertiary structure interactions, and identification and characterization of metal-ion binding sites. These data, together with force versus extension measurements on single RNA molecules, should provide the information necessary to test and refine the proposed algorithm.     

Ab initio computational modeling of loops in G-protein-coupled receptors: lessons from the crystal structure of rhodopsin

With the help of the crystal structure of rhodopsin an ab initio method has been developed to calculate the three-dimensional structure of the loops that connect the transmembrane helices (TMHs). The goal of this procedure is to calculate the loop structures in other G-protein coupled receptors (GPCRs) for which only model coordinates of the TMHs are available. To mimic this situation a construct of rhodopsin was used that only includes the experimental coordinates of the TMHs while the rest of the structure, including the terminal domains, has been removed. To calculate the structure of the loops a method was designed based on Monte Carlo (MC) simulations which use a temperature annealing protocol, and a scaled collective variables (SCV) technique with proper structural constraints. Because only part of the protein is used in the calculations the usual approach of modeling loops, which consists of finding a single, lowest energy conformation of the system, is abandoned because such a single structure may not be a representative member of the native ensemble. Instead, the method was designed to generate structural ensembles from which the single lowest free energy ensemble is identified as representative of the native folding of the loop. To find the native ensemble a successive series of SCV-MC simulations are carried out to allow the loops to undergo structural changes in a controlled manner. To increase the chances of finding the native funnel for the loop, some of the SCV-MC simulations are carried out at elevated temperatures. The native ensemble can be identified by an MC search starting from any conformation already in the native funnel. The hypothesis is that native structures are trapped in the conformational space because of the high-energy barriers that surround the native funnel. The existence of such ensembles is demonstrated by generating multiple copies of the loops from their crystal structures in rhodopsin and carrying out an extended SCV-MC search. For the extracellular loops e1 and e3, and the intracellular loop i1 that were used in this work, the procedure resulted in dense clusters of structures with Calpha-RMSD approximately 0.5 angstroms. To test the predictive power of the method the crystal structure of each loop was replaced by its extended conformations. For e1 and i1 the procedure identifies native clusters with Calpha-RMSD approximately 0.5 angstroms and good structural overlap of the side chains; for e3, two clusters were found with Calpha-RMSD approximately 1.1 angstroms each, but with poor overlap of the side chains. Further searching led to a single cluster with lower Calpha-RMSD but higher energy than the two previous clusters. This discrepancy was found to be due to the missing elements in the constructs available from experiment for use in the calculations. Because this problem will likely appear whenever parts of the structural information are missing, possible solutions are discussed.     

Identification of a stem-loop structure important for polyadenylation at the murine IgM secretory poly(A) site.

We have previously shown that a distal GU-rich downstream element of the mouse IgM secretory poly(A) site is important for polyadenylation in vivo and for polyadenylation specific complex formation in vitro. This element can be predicted to form a stem-loop structure with two asymmetric internal loops. As stem-loop structures commonly define protein RNA binding sites, we have probed the biological activity of the secondary structure of this element. We show that mutations affecting the stem of the structure abolish the biological activity of this element in vivo and in vitro at the level of cleavage and polyadenylation specificity factor/cleavage stimulation factor complex formation and that both internal loops contribute to the enhancing effect of the sequence in vivo. Lead (II) cleavage patterns and RNase H probing of the sequence element in vitro are consistent with the predicted secondary structure. Furthermore, mobility on native PAGE suggests a bent structure. We propose that the secondary structure of this downstream element optimizes its interaction with components of the polyadenylation complex.     

Automated classification of RNA 3D motifs and the RNA 3D Motif Atlas

The analysis of atomic-resolution RNA three-dimensional (3D) structures reveals that many internal and hairpin loops are modular, recurrent, and structured by conserved non-Watson–Crick base pairs. Structurally similar loops define RNA 3D motifs that are conserved in homologous RNA molecules, but can also occur at nonhomologous sites in diverse RNAs, and which often vary in sequence. To further our understanding of RNA motif structure and sequence variability and to provide a useful resource for structure modeling and prediction, we present a new method for automated classification of internal and hairpin loop RNA 3D motifs and a new online database called the RNA 3D Motif Atlas. To classify the motif instances, a representative set of internal and hairpin loops is automatically extracted from a nonredundant list of RNA-containing PDB files. Their structures are compared geometrically, all-against-all, using the FR3D program suite. The loops are clustered into motif groups, taking into account geometric similarity and structural annotations and making allowance for a variable number of bulged bases. The automated procedure that we have implemented identifies all hairpin and internal loop motifs previously described in the literature. All motif instances and motif groups are assigned unique and stable identifiers and are made available in the RNA 3D Motif Atlas (http://rna.bgsu.edu/motifs), which is automatically updated every four weeks. The RNA 3D Motif Atlas provides an interactive user interface for exploring motif diversity and tools for programmatic data access.