Thermodynamic parameters for loop formation in RNA and DNA hairpin tetraloops.

We determined the melting temperatures (Tm) and thermodynamic parameters of 15 RNA and 19 DNA hairpins at 1 M NaCl, 0.01 M sodium phosphate, 0.1 mM EDTA, at pH 7. All these hairpins have loops of four bases, the most common loop size in 16S and 23S ribosomal RNAs. The RNA hairpins varied in loop sequence, loop-closing base pair (A.U, C.G, or G.C), base sequence of the stem, and stem size (four or five base pairs). The DNA hairpins varied in loop sequence, loop-closing base pair (C.G, or G.C), and base sequence of the four base-pair stem. Thermodynamic properties of a hairpin may be represented by nearest-neighbor interactions of the stem plus contributions from the loop. Thus, we obtained thermodynamic parameters for the formation of RNA and DNA tetraloops. For the tetraloops we studied, a free energy of loop formation (at 37 degrees C) of about +3 kcal/mol is most common for either RNA or DNA. There are extra stable loops with delta G degrees 37 near +1 kcal/mol, but the sequences are not necessarily the same for RNA and DNA. The closing base pair is also important; changing from C.G to G.C lowered the stability of several tetraloops in both RNA and DNA. These values will be useful in predicting RNA and DNA secondary structures.     

Perturbation of DNA hairpins containing the EcoRI recognition site by hairpin loops of varying size and composition: physical (NMR and UV) and enzymatic (EcoRI) studies.

We have investigated loop-induced structural perturbation of the stem structure in hairpins d(GAATTCXnGAATTC) (X = A, T and n = 3, 4, 5 and 6) that contain an EcoRI restriction site in close proximity to the hairpin loop. Oligonucleotides containing either a T3 or a A3 loop were not hydrolyzed by the restriction enzyme and also showed only weak binding to EcoRI in the absence of the cofactor Mg2+. In contrast, hairpins with larger loops are hydrolyzed by the enzyme at the scission site next to the loop although the substrate with a A4 loop is significantly more resistant than the oligonucleotide containing a T4 loop. The hairpin structures with 3 loop residues were found to be thermally most stable while larger hairpin loops resulted in structures with lower melting temperatures. The T-loop hairpins are thermally more stable than the hairpins containing the same number of A residues in the loop. As judged from proton NMR spectroscopy and the thermodynamic data, the base pair closest to the hairpin loop did form in all cases studied. The hairpin loops did, however, affect the conformation of the stem structure of the hairpins. From 31P and 1H NMR spectroscopy we conclude that the perturbation of the stem structure is stronger for smaller hairpin loops and that the extent of the perturbation is limited to 2-3 base pairs for hairpins with T3 or A4 loops. Our results demonstrate that hairpin loops modulate the conformation of the stem residues close to the loop and that this in turn reduces the substrate activity for DNA sequence specific proteins.     

DNA hairpin loops in solution. Correlation between primary structure, thermostability and reactivity with single-strand-specific nuclease from mung bean.

Hairpin structures formed by seven DNA inverted repeats have been studied by PAGE, UV(CD)-spectroscopy and nuclease cleavage. The hairpins consisted of (CG)3 stems and loops of 2, 3 and 4 residues. Thermal stabilities (Tm) have been determined in low and high ionic strength buffers, where the hairpins were structured in the B- and Z-DNA form respectively. The thermodynamic parameters of hairpin formation have been obtained by a two-state analysis of the hairpin-coil transitions. It is found that, on increasing the number of bases in the loop from 2 to 3 and 4, the Tms of the B-hairpins decrease, whereas the Tms of the same hairpins in the Z-form increase. This confirms previous evidence (1,2) that in a hairpin molecule the size and structure of the loop are modulated by the conformation of the helical stem. Moreover, B-hairpins with loops comprising 2, 3 and 4 bases have been digested with the single-strand-specific nuclease from mung bean. In our experimental conditions (0 degrees C) the nuclease preferentially cleaves the unbonded nucleotides of the loops. However, the rates of loop hydrolysis, which roughly follow a first-order kinetics, markedly depend on the size of the loop. At a ratio of 3 enzyme units/micrograms DNA, the half-lives of hairpins which are expected to form loops of 4, 3 and 2 residues are 90, 145 and 440 minutes respectively. Thermostability and enzymatic digestion data suggest that two-membered loops can be formed in B-hairpins but not in Z-hairpins.     

Stem-loop structures can effectively substitute for an RNA pseudoknot in -1 ribosomal frameshifting

-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, again emphasizing the role of the triple helix in -1 PRF. Here, we investigated the efficiency of hairpins of similar base pair composition as the SRV-1 gag-pro pseudoknot. Although not capable of triple helix formation they proved worthy stimulators of frameshifting. Subsequent investigation of ～30 different hairpin constructs revealed that next to thermodynamic stability, loop size and composition and stem irregularities can influence frameshifting. Interestingly, hairpins carrying the stable GAAA tetraloop were significantly less shifty than other hairpins, including those with a UUCG motif. The data are discussed in relation to natural shifty hairpins.     

A role for two hairpin structures as a core RNA encapsidation signal in murine leukemia virus virions.

Four putative hairpin structures (hairpins A to D) are involved in the specific encapsidation of Moloney murine leukemia virus (M-MuLV) RNA into M-MuLV virus particles. The C and D elements, encompassing M-MuLV viral nucleotides 310 to 374, facilitate encapsidation of heterologous RNA into virions. Thus, these two elements appear to act as a core RNA encapsidation signal. The loop sequences of the putative C and D hairpins are identical (GACG). However, when GACG loops were introduced into RNAs on heterologous stem sequences, they increased encapsidation levels only three- to fourfold. These results suggest that C and D stem-and-loop sequences contribute to the M-MuLV cis-acting site for encapsidation.     

Melting studies of short DNA hairpins containing the universal base 5-nitroindole.

Effects of the universal base 5-nitroindole on the thermodynamic stability of DNA hairpins having a 6 bp stem and four base loops were investigated by optical absorbance and differential scanning calorimetry techniques. Melting studies were conducted in buffer containing 115 mM Na(+). Five different modified versions of DNA hairpins containing a 5-nitroindole base or bases substituted at different positions in the stem and loop regions were examined. Thermo-dynamic parameters of the melting transitions estimated from a two-state analysis of optical melting curves and measured directly by calorimetry revealed that the presence of 5-nitroindole bases in the duplex stem or loop regions of short DNA hairpins significantly affects both their enthalpic and entropic melting components in a compensating manner, while the transition free energy varies linearly with the transition temperature. The calorimetrically determined enthalpy and entropy values of the modified hairpins were considerably smaller (43-53%) than the two-state optical parameters, suggesting that solvent effects may be significant in the melting processes of these hairpins. Results of circular dichroism measurements also revealed slight differences between the modified hairpins and the control in both the duplex and melted states, suggesting subtle structural differences between the control and DNA hairpins containing a 5-nitroindole base or bases.     

Loop dependence of the stability and dynamics of nucleic acid hairpins

Hairpin loops are critical to the formation of nucleic acid secondary structure, and to their function. Previous studies revealed a steep dependence of single-stranded DNA (ssDNA) hairpin stability with length of the loop (L) as ~L^{8.5 ± 0.5}, in 100 mM NaCl, which was attributed to intraloop stacking interactions. In this article, the loop-size dependence of RNA hairpin stabilities and their folding/unfolding kinetics were monitored with laser temperature-jump spectroscopy. Our results suggest that similar mechanisms stabilize small ssDNA and RNA loops, and show that salt contributes significantly to the dependence of hairpin stability on loop size. In 2.5 mM MgCl₂, the stabilities of both ssDNA and RNA hairpins scale as ~L^{4 ± 0.5}, indicating that the intraloop interactions are weaker in the presence of Mg²⁺. Interestingly, the folding times for ssDNA hairpins (in 100 mM NaCl) and RNA hairpins (in 2.5 mM MgCl₂) are similar despite differences in the salt conditions and the stem sequence, and increase similarly with loop size, ~L^{2.2 ± 0.5} and ~L^{2.6 ± 0.5}, respectively. These results suggest that hairpins with small loops may be specifically stabilized by interactions of the Na⁺ ions with the loops. The results also reinforce the idea that folding times are dominated by an entropic search for the correct nucleating conformation.     

Stability of single-nucleotide bulge loops embedded in a GAAA RNA hairpin stem

Forty-six RNA hairpins containing combinations of 3' or 5' bulge loops and a 3' or 5' fluorescein label were optically melted in 1 M NaCl, and the thermodynamic parameters ΔH°, ΔS°, ΔG°(37), and T(M) for each hairpin were determined. The bulge loops were of the group I variety, in which the identity of the bulge is known, and the group II variety, in which the bulged nucleotide is identical to one of its nearest neighbors, leading to ambiguity as to the exact position of the bulge. The fluorescein label at either the 3' end or 5' end of the hairpin did not significantly influence the stability of the hairpin. As observed with bulge loops inserted into a duplex motif, the insertion of a bulge loop into the stem of a hairpin loop was destabilizing. The model developed to predict the influence of bulge loops on the stability of duplex formation was extended to predict the influence of bulge loops on hairpin stability. Specifically, the influence of the bulge is related to the stability of the hairpin stem distal from the hairpin loop.     

Analysis of melting transitions of the DNA hairpins formed from the oligomer sequences d[GGATAC(X)4GTATCC] (X = A, T, G, C)

Optical melting transitions of the short DNA hairpins formed from the self-complementary DNA oligomers d[GGATACX4GTATCC] where X = A, T, G, or C measured in 100 mM NaCl are presented. A significant dependence of the melting transitions on loop sequence is observed and transition temperatures, tm, of the hairpins vary from 58.3 degrees C for the T4 loop hairpin to 55.3 degrees C for the A4 loop. A nearest-neighbor sequence-dependent theoretical algorithm for calculating melting curves of DNA hairpins is presented and employed to analyze the experimental melting transitions. Experimental melting curves were fit by adjustment of a single theoretical parameter, Fend(n), the weighting function for a hairpin loop comprised of n single-strand bases. Empirically determined values of Fend(n) provide an evaluation of the free-energy of hairpin loop formation and stability. Effects of heterogeneous nearest-neighbor sequence interactions in the duplex stem on hairpin loop formation were investigated by evaluating Fend(n) in individual fitting procedures using two of the published sets of nearest-neighbor stacking interactions in DNA evaluated in 100 mM NaCl and given by Wartell and Benight, 1985. In all cases, evaluated values of Fend(n) were obtained that provided exact theoretical predictions of the experimental transitions. Results of the evaluations indicate: (1) Evaluated free-energies of hairpin loop formation are only slightly dependent on loop sequences examined. At the transition temperature, Tm, the free-energy of forming a loop of four bases is approximately equal for T4, G4, or C4 loops and varies from 3.9 to 4.8 kcal/mole depending on the set of nearest-neighbor interactions employed in the evaluations. This result suggests, in light of the observed differences in stability between the T4, G4, and C4 loop hairpins, that sequence-dependent interactions between base residues of the loop are most likely not the source of the enhanced stability of a T4 loop.(ABSTRACT TRUNCATED AT 400 WORDS)     

A semiflexible polymer model applied to loop formation in DNA hairpins

A statistical mechanical "zipper" model is applied to describe the equilibrium melting of short DNA hairpins with poly(dT) loops ranging from 4 to 12 bases in the loop. The free energy of loop formation is expressed in terms of the persistence length of the chain. This method provides a new measurement of the persistence length of single-stranded DNA, which is found to be approximately 1.4 nm for poly(dT) strands in 100 mM NaCl. The free energy of the hairpin relative to the random coil state is found to scale with the loop size with an apparent exponent of > or = 7, much larger than the exponent of approximately 1.5-1.8 expected from considerations of loop entropy alone. This result indicates a strong dependence of the excess stability of the hairpins, from stacking interactions of the bases within the loop, on the size of the loop. We interpret this excess stability as arising from favorable hydrophobic interactions among the bases in tight loops and which diminish as the loops get larger. Free energy profiles along a generalized reaction coordinate are calculated from the equilibrium zipper model. The transition state for hairpin formation is identified as an ensemble of looped conformations with one basepair closing the loop, and with a lower enthalpy than the random coil state. The equilibrium model predicts apparent activation energy of approximately -11 kcal/mol for the hairpin closing step, in remarkable agreement with the value obtained from kinetics measurements.     

Analyzing modular RNA structure reveals low global structural entropy in microRNA sequence

Secondary structure remains the most exploitable feature for noncoding RNA (ncRNA) gene finding in genomes. However, methods based on secondary structure prediction may generate superfluous amount of candidates for validation and have yet to deliver the desired performance that can complement experimental efforts in ncRNA gene finding. This paper investigates a novel method, unpaired structural entropy (USE) as a measurement for the structure fold stability of ncRNAs. USE proves to be effective in identifying from the genome background a class of ncRNAs, such as precursor microRNAs (pre-miRNAs) that contains a long stem hairpin loop. USE correlates well and performs better than other measures on pre-miRNAs, including the previously formulated structural entropy. As an SVM classifier, USE outperforms existing pre-miRNA classifiers. A long stem hairpin loop is common for a number of other functional RNAs including introns splicing hairpins loops and intrinsic termination hairpin loops. We believe USE can be further applied in developing ab initio prediction programs for a larger class of ncRNAs.     

Thermal stability of RNA hairpins containing a four-membered loop and a bulge nucleotide

Fourteen RNA hairpins containing a four-membered loop and a bulge nucleotide were synthesized and their thermal stabilities determined. The combined contribution of a four-membered loop and bulge A to the free energy of a hairpin is calculated to be 9.3 kcal/mol at 37 degrees C and successfully predicts the stability of an independent RNA hairpin. The introduction of a bulge nucleotide to the helical stem of an RNA hairpin destabilizes the molecule in a sequence-dependent manner. The individual thermodynamic contributions of a four-membered loop and bulge A, G, and U residues to the stability of an RNA hairpin loop are presented.     

The nature of preferred hairpin structures in 16S-like rRNA variable regions.

Variable length hairpins in 16S-like rRNA show a predominance for tetra-loops, its degree correlates with the protein content of the ribosome. The number of base-pairs adjacent to the loop (the tip size) and the nearest neighbor composition contribute to the stability of hairpin structures. The average tip size in length variable hairpins correlates with the thermophilicity of the organism, i.e. in temperate environments less stable stem structures are tolerated or even necessary. The most abundant loop families UUCG, GCAA, and CUUG occur most frequently at loop sizes 3, 2, and 7, respectively. Short tips of size less than or equal to 4 generally prefer nearest-neighbor combinations that result in CCC-GGG. Loop-specific tipmost nearest neighbors are revealed at longer tips: CUC(UUCG)GAG, GUA(GCAA)UAC with a maximum at tip sizes 5-6, and GWG(CUUG)CWC. Conserved hairpins, however, prefer variants of the UUCG and GCAA motifs with additional purines. Minor loop families and single motifs such as UUUA, UUUU, CUUGU, UUCGG, and UUU are investigated for preferable tip sizes and nearest-neighbor composition. Specific features are revealed for prominent hexa-loops.     

Asymmetric structure of five and six membered DNA hairpin loops

The tertiary structure of nucleic acid hairpins was elucidated by means of the accessibility of the single-strand-specific nuclease from mung bean. This molecular probe has proven especially useful in determining details of the structural arrangement of the nucleotides within a loop. In this study 3'-labeling is introduced to complement previously used 5'-labeling in order to assess and to exclude possible artifacts of the method. Both labeling procedures result in mutually consistent cleavage patterns. Therefore, methodological artifacts can be excluded and the potential of the nuclease as structural probe is increased. DNA hairpins with five and six membered loops reveal an asymmetric loop structure with a sharp bend of the phosphate-ribose backbone between the second and third nucleotide on the 3'-side of a loop. These hairpin structures differ from smaller loops with 3 or 4 members, which reveal this type of bend between the first and second 3' nucleotide, and resemble with respect to the asymmetry anticodon loops of tRNA.Abbreviations The hairpin oligonucleotides are indicated by hp hairpin followed by the loop sequence, starting at the 5'-end, in parenthesis; d for deoxy is omitted for clarity     

Thermodynamics of DNA hairpins: contribution of loop size to hairpin stability and ethidium binding.

A combination of calorimetric and spectroscopic techniques was used to evaluate the thermodynamic behavior of a set of DNA hairpins with the sequence d(GCGCTnGCGC), where n = 3, 5 and 7, and the interaction of each hairpin with ethidium. All three hairpins melt in two-state monomolecular transitions, with tm's ranging from 79.1 degrees C (T3) to 57.5 degrees C (T7), and transition enthalpies of approximately 38.5 kcal mol-1. Standard thermodynamic profiles at 20 degrees C reveal that the lower stability of the T5 and T7 hairpins corresponds to a delta G degree term of +0.5 kcal mol-1 per thymine residue, due to the entropic ordering of the thymine loops and uptake of counterions. Deconvolution of the ethidium-hairpin calorimetric titration curves indicate two sets of binding sites that correspond to one ligand in the stem with binding affinity, Kb, of approximately 1.8 x 10(6) M-1, and two ligands in the loops with Kb of approximately 4.3 x 10(4) M-1. However, the binding enthalpy, delta Hb, ranges from -8.6 (T3) to -11.6 kcal mol-1 (T7) for the stem site, and -6.6 (T3) to -12.7 kcal mol-1 (T7) for the loop site. Relative to the T3 hairpin, we obtained an overall thermodynamic contribution (per dT residue) of delta delta Hb = delta(T delta Sb) = -0.7(5) kcal mol-1 for the stem sites and delta delta Hb = delta(T delta Sb) = -1.5 kcal mol-1 for the loop sites. Therefore, the induced structural perturbations of ethidium binding results in a differential compensation of favorable stacking interactions with the unfavorable ordering of the ligands.     

Non-nearest-neighbor dependence of stability for group III RNA single nucleotide bulge loops

Thirty-five RNA duplexes containing single nucleotide bulge loops were optically melted and the thermodynamic parameters for each duplex determined. The bulge loops were of the group III variety, where the bulged nucleotide is either a AG/U or CU/G, leading to ambiguity to the exact position and identity of the bulge. All possible group III bulge loops with Watson–Crick nearest-neighbors were examined. The data were used to develop a model to predict the free energy of an RNA duplex containing a group III single nucleotide bulge loop. The destabilization of the duplex by the group III bulge could be modeled so that the bulge nucleotide leads to the formation of the Watson–Crick base pair rather than the wobble base pair. The destabilization of an RNA duplex caused by the insertion of a group III bulge is primarily dependent upon non-nearest-neighbor interactions and was shown to be dependent upon the stability of second least stable stem of the duplex. In-line structure probing of group III bulge loops embedded in a hairpin indicated that the bulged nucleotide is the one positioned further from the hairpin loop irrespective of whether the resulting stem formed a Watson–Crick or wobble base pair. Fourteen RNA hairpins containing group III bulge loops, either 3′ or 5′ of the hairpin loop, were optically melted and the thermodynamic parameters determined. The model developed to predict the influence of group III bulge loops on the stability of duplex formation was extended to predict the influence of bulge loops on hairpin stability.     

Tandem GA residues on opposite sides of the loop in molecular beacon-like DNA hairpins compact the loop and increase hairpin stability

The free solution electrophoretic mobilities and thermal stabilities of hairpins formed by two complementary 26-nucleotide oligomers have been measured by capillary electrophoresis. The oligomers are predicted to form molecular beacon-like hairpins with 5 bp stems and 16 nucleotides in the loop. One hairpin, called hairpin2 (hp2), migrates with a relatively fast free solution mobility and exhibits melting temperatures that are reasonably well predicted by the popular structure-prediction program Mfold. Its complement, called hairpin1 (hp1), migrates with a slower free solution mobility and forms a stable hairpin only in solutions containing ≥200 mM Na(+). The melting temperatures observed for hp1 are ~18 °C lower than those observed for hp2 and ~20 °C lower than those predicted by Mfold. The greater thermal stability of hp2 is due to the presence of tandem GA residues on opposite sides of the loop. If the corresponding TC residues in the hp1 loop are replaced by tandem GA residues, the melting temperatures of the modified hairpin are close to those observed for hp2. Eliminating the tandem GA residues in the hp2 loop significantly decreases the thermal stability of hp2. If the loops are replaced by a loop of 16 thymine residues, the free solution mobilities and thermal stabilities of the T-loop hairpin are equal to those observed for hp1. Hence, the loop of hp1 appears to be relatively unstructured, with few base-base stacking interactions. Interactions between tandem GA residues on opposite sides of the hp2 loop appear to compact the loop and increase hairpin stability.     

Random removal of inserts from an RNA genome: selection against single-stranded RNA.

We have monitored the evolution of insertions in two MS2 RNA regions of known secondary structure where coding pressure is negligible or absent. Base changes and shortening of the inserts proceed until the excessive nucleotides can be accommodated in the original structure. The stems of hairpins can be dramatically extended but the loops cannot, revealing natural selection against single-stranded RNA. The 3' end of the MS2 A-protein gene forms a small hairpin with an XbaI sequence in the loop. This site was used to insert XbaI fragments of various sizes. Phages produced by these MS2 cDNA clones were not wild type, nor had they retained the full insert. Instead, every revertant phage had trimmed the insert in a different way to leave a four- to seven-membered loop to the now extended stem. Similar results were obtained with inserts in the 5' untranslated region. The great number of different revertants obtained from a single starting mutant as well as sequence inspection of the crossover points suggest that the removal of redundant RNA occurs randomly. The only common feature among all revertants appears the potential to form a hairpin with a short loop, suggesting that single-stranded RNA negatively affects the viability of the phage. To test this hypothesis, we introduced XbaI fragments of 34 nucleotides that could form either a long stem with a small loop or a short stem with a large loop (26 nucleotides). The base-paired inserts were perfectly maintained for many generations, whereas the unpaired versions were quickly trimmed back to reduce the size of the loop. These data confirm that single-stranded RNA adversely affects phage fitness and is strongly selected against. The repair of the RNA genome that we describe here appears as the result of random recombination. Of the plethora of recombinants, only those able to adopt a base-paired structure survive. The frequency with which our inserts are removed seems higher than measured by others for small inserts in a reading frame in Q beta RNA. To account for this higher frequency, we suggest models in which the single-stranded nature of our inserts induces random recombination at the site of the insertion.     

MS2 RNA has a potential to form an unusually large number of stable hairpins

Several long nucleotide sequences were analysed to find out if any of them are unusual in terms of the possible formation of “hairpins” (pairs of complementary runs of nucleotides forming double-stranded structures) as compared to random sequences. The RNA of MS2 bacteriophage has more potential hairpins with short loops (up to 10 bases in a loop) than found in random sequences with the same length and base composition. Other analyzed nucleotide sequences (SV40, φX174, Fd and 16S rRNA) behaved very much as their corresponding random ones. Most of the extra hairpins of the MS2 RNA are estimated to be thermodynamically stable. These potential hairpins might play some role in the function of the MS2 RNA.