Thermodynamics of DNA duplexes with adjacent G.A mismatches.

The sequence 5'-d(ATGAGCGAAT) forms a very stable self-complementary duplex with four G.A mismatch base pairs (underlined) out of ten total base pairs [Li et al. (1991) Proc. Natl. Acad. Sci. U.S.A. 88, 26-30]. The conformation is in the general B-family and is stabilized by base-pair hydrogen bonding of an unusual type, by favorable base dipole orientations, and by extensive purine-purine stacking at the mismatched sites. We have synthesized 13 decamers with systematic variations in the sequence above to determine how the flanking sequences, the number of G.A mismatches, and the mismatch sequence order (5'-GA-3' or 5'-AG-3') affect the duplex stability. Changing A.T to G.C base pairs in sequences flanking the mismatches stabilizes the duplexes, but only to the extent observed with B-form DNA. The sequence 5'-pyrimidine-GA-purine-3', however, is considerably more stable than 5'-purine-GA-pyrimidine-3'. The most stable sequences with two pairs of adjacent G.A mismatches have thermodynamic parameters for duplex formation that are comparable to those for fully Watson-Crick base-paired duplexes. Similar sequences with single G.A pairs are much less stable than sequences with adjacent G.A mismatches. Reversing the mismatch order from 5'-GA-3' to 5'-AG-3' results in an oligomer that does not form a duplex. These results agree with predictions from the model derived from NMR and molecular mechanics and indicate that the sequence 5'-pyrimidine-GA-purine-3' forms a stable conformational unit that fits quite well into a B-form double helix.(ABSTRACT TRUNCATED AT 250 WORDS)     

Synthesis and crystal structure of an octamer RNA r(guguuuac)/r(guaggcac) with G.G/U.U tandem wobble base pairs: comparison with other tandem G.U pairs

We have determined the crystal structure of the RNA octamer duplex r(guguuuac)/r(guaggcac) with a tandem wobble pair, G·G/U·U (motif III), to compare it with U·G/G·U (motif I) and G·U/U·G (motif II) and to better understand their relative stabilities. The crystal belongs to the rhombohedral space group R3. The hexagonal unit cell dimensions are a = b = 41.92 Å, c = 56.41 Å, and γ = 120°, with one duplex in the asymmetric unit. The structure was solved by the molecular replacement method at 1.9 Å resolution and refined to a final R factor of 19.9% and R_free of 23.3% for 2862 reflections in the resolution range 10.0–1.9 Å with F ≥ 2σ(F). The final model contains 335 atoms for the RNA duplex and 30 water molecules. The A-RNA stacks in the familiar head-to-tail fashion forming a pseudo-continuous helix. The uridine bases of the tandem U·G pairs have slipped towards the minor groove relative to the guanine bases and the uridine O2 atoms form bifurcated hydrogen bonds with the N1 and N2 of guanines. The N2 of guanine and O2 of uridine do not bridge the ‘locked’ water molecule in the minor groove, as in motifs I and II, but are bridged by water molecules in the major groove. A comparison of base stacking stabilities of motif III with motifs I and II confirms the result of thermodynamic studies, motif I > motif III > motif II.     

Vacuum UV CD spectra of homopolymer duplexes and triplexes containing A.T or A.U base pairs.

Vacuum UV circular dichroism (CD) spectra were measured down to 174 nm for five homopolymers, five duplexes, and four triplexes containing adenine, uracil, and thymine. Near 190 nm, the CD bands of poly[d(A)] and poly[r(A)] were larger than the CD bands of the polypyrimidines, poly[d(T)], poly[d(U)], and poly[r(U)]. Little change was observed in the 190 nm region upon formation of the duplexes (poly[d(A).d(T)], poly[d(A).d(U)], poly[r(A).d(T)], poly[r(A).d(U)], and poly[r(A).r(U)]) or upon formation of two of the triplexes (poly[d(T).d(A).d(T)] and poly[d(U).d(A).d(U)]). This showed that the purine strand had the same or a similar structure in these duplexes and triplexes as when free in solution. Both A.U and A.T base pairing induced positive bands at 177 and 202 nm. For three triplexes containing poly[d(A)], the formation of a triplex from a duplex and a free pyrimidine strand induced a negative band centered between 210 and 215 nm. The induction of a band between 210 and 215 nm indicated that these triplexes had aspects of the A conformation.     

Thermodynamics of RNA hairpins containing single internal mismatches.

Thermodynamic parameters and circular dichroism spectra are presented for RNA hairpins containing single internal mismatches in the stem regions. Three different sequence contexts for the G*U mismatch and two contexts for C*A, G*A, U*U, A*C and U*G mismatches were examined and compared with Watson-Crick base-pair stabilities. The RNA hairpins employed were a microhelix and tetraloop representing the Escherichia coli tRNAAlaacceptor stem and sequence variants that have been altered at the naturally occurring G*U mismatch site. UV melting studies were carried out under different conditions to evaluate the effects of sodium ion concentration and pH on the stability of mismatch-containing hairpins. Our main findings are that single internal mismatches exhibit a range of effects on hairpin stability. In these studies, the size and sequence of the loop and stem are shown to influence the overall stability of the RNA, and have a minor effect on the relative mismatch stabilities. The relationship of these results to RNA-ligand interactions involving mismatch base-pairs is discussed.     

Stabilities of consecutive A.C, C.C, G.G, U.C, and U.U mismatches in RNA internal loops: Evidence for stable hydrogen-bonded U.U and C.C.+ pairs.

The stability and structure of RNA duplexes with consecutive A.C, C.A, C.C, G.G, U.C, C.U, and U.U mismatches were studied by UV melting, CD, and NMR. The results are compared to previous results for GA and AA internal loops [SantaLucia, J., Kierzek, R., & Turner, D. H. (1990) Biochemistry 29, 8813-8819; Peritz, A., Kierzek, R., & Turner, D.H. (1991) Biochemistry 30, 6428-6436)]. The observed order for stability increments of internal loop formation at pH 7 is AG = GA approximately UU greater than GG greater than or equal to CA greater than or equal to AA = CU = UC greater than or equal to CC greater than or equal to AC. The results suggest two classes for internal loops with consecutive mismatches: (1) loops that stabilize duplexes and have strong hydrogen bonding and (2) loops that destabilize duplexes and may not have strong hydrogen bonding. Surprisingly, rCGCUUGCG forms a very stable duplex at pH 7 in 1 M NaCl with a TM of 44.8 degrees C at 1 x 10(-4) M and a delta G degrees 37 of -7.2 kcal/mol. NOE studies of the imino protons indicate hydrogen bonding within the U.U mismatches in a wobble-type structure. Resonances corresponding to the hydrogen-bonded uridines are located at 11.3 and 10.4 ppm. At neutral pH, rCGCCCGCG is one of the least stable duplexes with a TM of 33.2 degrees C and delta G degrees 37 of -5.1 kcal/mol. Upon lowering the pH to 5.5, however, the TM increases by 12 degrees C, and delta G degrees 37 becomes more favorable by 2.5 kcal/mol. The pH dependence of rCGCCCGCG may be due to protonation of the internal loop C's, since no changes in thermodynamic parameters are observed for rCGCUUGCG between pH 7 and 5.5. Furthermore, two broad imino proton resonances are observed at 10.85 and 10.05 ppm for rCGCCCGCG at pH 5.3, but not at pH 6.5. This is also consistent with C.C+ base pairs forming at pH 5.5. rCGCCAGCG and rGGCACGCC have a small pH dependence, with TM increases of 5 and 3 degrees C, respectively, upon lowering the pH from 7 to 5.5. rCGCCUGCG and rCGCUCGCG also show little pH dependence, with TM increases of 0.8 and 1.4 degrees C, respectively, upon lowering the pH to 5.5.(ABSTRACT TRUNCATED AT 400 WORDS)     

CD of homopolymer DNA-RNA hybrid duplexes and triplexes containing A-T or A-U base pairs.

CD spectra and difference-CD spectra of (a) two DNA X RNA hybrid duplexes (poly[r(A) X d(U)] and poly[r(A) X d(T)]) and (b) three hybrid triplexes (poly-[d(T) X r(A) X d(T)], poly[r(U) X d(A) X r(U)], and poly[r(T) X d(A) X r(T)]) were obtained and compared with CD spectra of six A X U- and A X T-containing duplex and triplex RNAs and DNAs. We found that the CD spectra of the homopolymer duplexes above 260 nm were correlated with the type of base pair present (A-U or A-T) and could be interpreted as the sum of the CD contributions of the single strands plus a contribution due to base pairing. The spectra of the duplexes below 235 nm were related to the polypurine strands present (poly-[r(A)] or poly[d(A)]). We interpret the CD intensity in the intermediate 255-235 nm region of these spectra to be mainly due to stacking of the constituent polypurine strands. Three of the five hybrids (poly[r(A) X d(U)], poly[r(A) X d(T)], and poly[d(T) X r(A) X d(T)]) were found to have heteronomous conformations, while poly[r(U) X d(A) X r(U)] was found to be the most A-like and poly[r(T) X d(A) X r(T)], the least A-like.     

Very stable mismatch duplexes: structural and thermodynamic studies on tandem G.A mismatches in DNA.

We have used ultraviolet melting techniques to compare the stability of several DNA duplexes containing tandem G.A mismatches to similar duplexes containing tandem A.G, I.A, and T.A base pairs. We have found that tandem G.A mismatches in 5'-Y-G-A-R-3' duplexes are more stable than their I.A counterparts and that they are sometimes more stable than tandem 5'-Y-T-A-R-3' sequences. This is not the case for tandem G.A mismatches in other base stacking environments, and it suggests that tandem G.A mismatches in 5'-Y-G-A-R-3' sequences have a unique configuration. In contrast to tandem 5'-G-A-3' mismatches, tandem 5'-A-G-3' mismatches were found to be unstable in all cases examined.     

Dissociation kinetics of 19 base paired oligonucleotide-DNA duplexes containing different single mismatched base pairs.

The dissociation kinetics of 19 base paired oligonucleotide-DNA duplex containing a various single mismatched base pair are studied on dried agarose gels. The kinetics of the dissociation are first order under our experimental conditions. The incorporation of a single mismatched base pair destabilizes the DNA duplexes to some extent, the amount depending on the nature of the mismatched base pair. G-T and G-A mismatches slightly destabilize a duplex, while A-A, T-T, C-T and C-A mismatches significantly destabilize it. The activation energy for the overall dissociation processes for these oligonucleotide-DNA duplexes containing 19 base pairs is 52 +/- 2 Kcal mol-1 as determined from the slope of Arrhenius plot.     

Alternative heterocycles for DNA recognition: a 3-pyrazole/pyrrole pair specifies for G.C base pairs

Synthetic ligands comprising three aromatic amino acids, pyrrole (Py), imidazole (Im), and hydroxypyrrole (Hp), specifically recognize predetermined sequences as side-by-side pairs in the minor groove of DNA. To expand the repertoire of aromatic rings that may be utilized for minor groove recognition, three five-membered heterocyclic rings, 3-pyrazolecarboxylic acid (3-Pz), 4-pyrazolecarboxylic acid (4-Pz), and furan-2-carboxylic acid (Fr), were examined at the N-terminus of eight-ring hairpin polyamide ligands. The DNA binding properties of 3-Pz, 4-Pz, and Fr each paired with Py were studied by quantitative DNase I footprinting titrations on a 283 bp DNA restriction fragment containing four 6-bp binding sites 5'-ATNCCTAA-3' (N = G, C, A, or T; 6-bp polyamide binding site is underlined). The pair 3-Pz/Py has increased binding affinity and sequence specificity for G.C bp compared with Im/Py.     

Effects of flanking G . C base pairs on internal Watson-Crick, G . U, and nonbonded base pairs within a short ribonucleic acid duplex

A series of pentaribonucleotides, ApGpXpGpU (where X identical to A, G, C, or U), was synthesized to investigate the effects of flanking G . C pairs on internal Watson-Crick, G . U, and nonbonded base pairs. Sequences ApGpApCpU (Tm = 26 degrees C) and ApGpCpCpU (Tm = 25 degrees C) were each found to form a duplex with non-base-paired internal residues that stacked with the rest of the sequence but were not looped out. ApGpGpCpU also forms a duplex (Tm = 30 degrees C) but with dangling terminal nonbonded adenosines rather than internal nonbonded guanosines. ApGpUpCpU prefers a stacked single-strand conformation. In addition, contribution to duplex stability from an internal A . U or G . C base pair is enhanced by 6 degrees C when flanked by G . C base pairs as compared to A . U base pairs. G . C base pairs flanking an internal G . U base pair were found to be more tolerant to the altered conformation of a G . U pair and result in an increase to stability comparable with that found for an internal A . U base pair.     

Characterization of imperfect DNA duplexes containing unpaired bases and non-Watson-Crick base pairs.

Synthetic duplex DNAs of repeating sequence, such as poly d(TTC).poly d(GAA), were separated into their individual single strands. The various single strands complexed not only, as expected, with their complementary strands, but also with other non-complementary strands. Characterization of such complexes with respect to stoichiometry, Tm values and the dependence of Tm on NaCl concentration showed that a variety of unusual structures could be inferred at physiological salt concentrations. These included extrahelical thymines, G.T oppositions, A.C oppositions and T.C oppositions.     

Thermodynamics of RNA melting,one base pair at a time

The melting of base pairs is a ubiquitous feature of RNA structural transitions, which are widely used to sense and respond to cellular stimuli. A recent study employing solution nuclear magnetic resonance (NMR) imino proton exchange spectroscopy provides a rare base-pair-specific view of duplex melting in the Salmonella FourU RNA thermosensor, which regulates gene expression in response to changes in temperature at the translational level by undergoing a melting transition. The authors observe “microscopic” enthalpy–entropy compensation—often seen “macroscopically” across a series of related molecular species—across base pairs within the same RNA. This yields variations in base-pair stabilities that are an order of magnitude smaller than corresponding variations in enthalpy and entropy. A surprising yet convincing link is established between the slopes of enthalpy–entropy correlations and RNA melting points determined by circular dichroism (CD), which argues that unfolding occurs when base-pair stabilities are equalized. A single AG-to-CG mutation, which enhances the macroscopic hairpin thermostability and folding cooperativity and renders the RNA thermometer inactive in vivo, spreads its effect microscopically throughout all base pairs in the RNA, including ones far removed from the site of mutation. The authors suggest that an extended network of hydration underlies this long-range communication. This study suggests that the deconstruction of macroscopic RNA unfolding in terms of microscopic unfolding events will require careful consideration of water interactions.     

An alternating sheared AA pair and elements of stability for a single sheared purine-purine pair flanked by sheared GA pairs in RNA

A previous NMR structure of the duplex 5'GGU GGA GGCU/PCCG AAG CCG5' revealed an unusually stable RNA internal loop with three consecutive sheared GA pairs. Here, we report NMR studies of two duplexes, 5'GGU GGA GGCU/PCCA AAG CCG5' (replacing the UG pair with a UA closing pair) and 5'GGU GAA GGCU/PCCG AAG CCG5' (replacing the middle GA pair with an AA pair). An unusually stable loop with three consecutive sheared GA pairs forms in the duplex 5'GGU GGA GGCU/PCCA AAG CCG5'. The structure contrasts with that reported for this loop in the crystal structure of the large ribosomal subunit of Deinococcus radiodurans [Harms, J., Schluenzen, F., Zarivach, R., Bashan, A., Gat, S., Agmon, I., Bartels, H., Franceschi, F., and Yonath, A. (2001) Cell 107, 679-688]. The middle AA pair in the duplex 5'GGU GAA GGCU/PCCG AAG CCG5' rapidly exchanges orientations, resulting in alternative base stacking and pseudosymmetry with exclusively sheared pairs. The U GAA G/G AAG C internal loop is 2.1 kcal/mol less stable than the U GGA G/G AAG C internal loop at 37 degrees C. Structural, energetic, and dynamic consequences upon functional group substitutions within related 3 x 3 and 3 x 6 internal loops are also reported.     

The electrostatic characteristics of G.U wobble base pairs

G·U wobble base pairs are the most common and highly conserved non-Watson–Crick base pairs in RNA. Previous surface maps imply uniformly negative electrostatic potential at the major groove of G·U wobble base pairs embedded in RNA helices, suitable for entrapment of cationic ligands. In this work, we have used a Poisson–Boltzmann approach to gain a more detailed and accurate characterization of the electrostatic profile. We found that the major groove edge of an isolated G·U wobble displays distinctly enhanced negativity compared with standard GC or AU base pairs; however, in the context of different helical motifs, the electrostatic pattern varies. G·U wobbles with distinct widening have similar major groove electrostatic potentials to their canonical counterparts, whereas those with minimal widening exhibit significantly enhanced electronegativity, ranging from 0.8 to 2.5kT/e, depending upon structural features. We propose that the negativity at the major groove of G·U wobble base pairs is determined by the combined effect of the base atoms and the sugar-phosphate backbone, which is impacted by stacking pattern and groove width as a result of base sequence. These findings are significant in that they provide predictive power with respect to which G·U sites in RNA are most likely to bind cationic ligands.     

Circular dichroism spectra of DNA oligomers show that short interior stretches of C.C+ base pairs do not form in duplexes with A.T base pairs

Circular dichroism (CD) experiments were carried out on a series of DNA oligomers to determine if short internal stretches of protonated cytosine-cytosine (C.C+) base pairs could coexist with adenine-thymine (A.T) base pairs. (1) C.C+ base pairs did form in the absence of A.T base pairs in the individual oligomers d(AACC)5 and d(CCTT)5, as indicated by the appearance of a long-wavelength CD band centered at 282-284 nm, when the pH was lowered to 6 or 5 at 0.5 M Na+. A comparison of measured with calculated spectra showed that d(CCTT)5 at pH 5, 0.5 M Na+, 20 degrees C, likely adopted a structure with a central core of stacked C.C+ base pairs and looped-out thymines. Under the same conditions, it appeared that C.C+ base pairs also formed in d(AACC)5, but with the adenines remaining intrahelical. Each of these oligomers showed a cooperative transition for formation of C.C+ base pairs as the temperature was lowered, with C.C+ base pairs forming at a higher temperature in d(CCTT)5 than in d(AACC)5. A.T base formed in equimolar mixtures of d(AACC)5 plus d(CCTT)5 as monitored by an increase in the negative magnitude of the 250-nm CD band. However, a large increase did not appear at about 285 nm in CD spectra of the mixtures, showing that there were no stacked C.C+ base pairs in the d(AACC)5.d(CCTT)5 duplex even though they formed under the same conditions in the individual strands. Thus, in this duplex, A.T base pairs prevented the formation of neighboring internal C.C+ base pairs. (2) CD measurements were also made of d(A10C4T10).(ABSTRACT TRUNCATED AT 250 WORDS)     

Demonstration of G . U wobble base pairs by Raman and IR spectroscopy

When guanine and uracil form hydrogen bonds in the pairing scheme first proposed by Crick one would expect that poly(A,G) will form an unperturbed double helix with poly U at room temperature in a dilute electrolyte solution (0.1 M NaCl). We have demonstrated by Raman- and IR-spectroscopy that the secondary structure of poly(A.G) · poly U is very similar to the structure of poly A · poly U; only the thermal stability of the double helix seems slightly lower than the stability of poly A · poly U, whereas the average helix length is unaffected by the dispersed G · U base pairs. From our input ratio of guanine and adenine we estimate that about every fourth base pair is a wobble pair.     

A.U and G.C base pairs in synthetic RNAS have characteristic vacuum UV CD bands.

The vacuum UV CD spectra of GpC, CpG, GpG, poly[r(A)], poly[r(C)], poly[r(U)], poly[r(A-U)], poly[r(G).r(C)], poly[r(A).r(U)], and poly[r(A-U).r(A-U)] were measured down to at least 174 nm. These spectra, together with the published spectra of poly[r(G-C).r(G-C)], CMP, and GMP, were sufficient to estimate the CD changes upon base pairing for four double-stranded RNAs. The vacuum UV CD bands of poly[r(A)], poly[r(C)], and the dinucleotides GpC and CpG were temperature dependent, suggesting that they were due to intrastrand base stacking. The dinucleotide sequence isomers GpC and CpG had very different vacuum UV CD bands, indicating that the sequence can play a role in the vacuum UV CD of single-stranded RNA. The vacuum UV CD bands of the double-stranded (G.C)-containing RNAs, poly[r(G).r(C)] and poly[r(G-C).r(G-C)], were larger than the measured or estimated vacuum UV CD bands of their constituent single-stranded RNAs and were similar in having an exceptionally large positive band at about 185 nm and negative bands near 176 and 209 nm. These similarities were enhanced in difference-CD spectra, obtained by subtracting the CD spectra of the single strands from the CD spectra of the corresponding double strands. The (A.U)-containing double-stranded RNAs poly[r(A).r(U)] and poly[r(A-U).r(A-U)] were similar only in that their vacuum UV CD spectra had a large positive band at 177 nm. The spectrum of poly[r(A).r(U)] had a shoulder at 188 nm and a negative band at 206 nm, whereas the spectrum of poly[r(A-U).r(A-U)] had a positive band at 201 nm. On the other hand, difference spectra of both of the (A.U)-containing polymers had positive bands at about 177 and 201 nm. Thus, the difference-CD spectra revealed CD bands characteristic of A.U and G.C base pairing. (ABSTRACT TRUNCATED AT 250 WORDS)     

Solution conformation of a deoxynucleotide containing tandem G.A mismatched base pairs and 3'-overhanging ends in d(GTGAACTT)2.

We have used 31P and 1H NMR spectroscopy and circular dichroism to define the solution conformation of d(GTGAACTT)2 which contains tandem G.A mismatched base pairs and 3'-overhanging TT ends. Measurements of coupling constants and NOE intensities show that the sugar puckers of the nucleotides are predominantly in the south domain (i.e., near C2'-endo) and that the glycosidic torsion angles are anti. The sequential NOE intensities indicate the presence of a right-handed helix. Analysis of the 31P and 1H NMR spectra of the duplex shows that the tandem mismatch forms a block in which there are unusual backbone torsion angles (i.e., in the BII state), within an otherwise B-like structure. The chemical shift of the N1H of the mismatched guanosine and NOEs between the mismatched base pairs and their nearest neighbors are inconsistent with the imino pairing present in single A.G mismatches or in the X-ray structure of a tandem mismatch [Privé, G. G., et al. (1987) Science 238, 498-503] but the data are consistent with the amino pairing found by Li et al. (1991) [Li, Y., et al. (1991) Proc. Natl. Acad. Sci. U.S.A. 88, 26-30]. The strong base-base stacking both within the tandem G.A block and between the G.A mismatches and their other nearest neighbors offsets the intrinsic destabilizing effects of the mismatch. Further, the 3'-TT overhangs stack onto the ends of the helix and stabilize the duplex against fraying, which accounts for the observed increase in the melting temperature compared with the flush-ended duplex.     

The thermal stability of RNA duplexes containing modified base pairs placed at internal and terminal positions of the oligoribonucleotides

The presence of various modifications within oligomers changes their thermodynamic stability. To get more systematic data, we measured effects of 5- and 6-substituted uridine on thermal stability of (AUCU(Mod.)AGAU)2 and (AUCUAGAU(Mod.))2. Collected results lead to the following conclusions: (i) 5-halogenated and 5-alkylated substituents of the uridine affect thermal stability of the RNA duplexes differently. Moreover, the 5-fluorouridine changes stability of the RNA duplexes opposite to remaining 5-halogenouridines; (ii) for oligomers containing 5-chloro, 5-bromo or 5-iodouridine stronger hydrogen bond formed between oxygen-4 of the 5-halogenated uracil and 6-amino group of the adenine is presumably responsible for stabilizing effect; (iii) placing of A-U(5R) base pairs closer to the end of the duplex enhance thermal stability relatively to oligomer with central position of this base pair; (iv) the effects of 5-substituents are additive, particularly for substituents which stabilize RNA duplexes; (v) 6-methyluridines (N1 and N3 isomers) as well as 3N-methyluridine present at internal position of A-U(Mod.) inhibit duplexes formation; (vi) 6-methyluridines (N1 and N3 isomers) as well as 3N-methyluridine placed as terminal base pairs stabilize the duplexes mostly via 3'-dangling end effect.     

Purine-purine mismatches in RNA helices: evidence for protonated G.A pairs and next-nearest neighbor effects.

Thermodynamic parameters are presented for 12 different RNA duplexes containing A.A, A.G, G.A and G.G mismatches flanked by C-G base pairs. UV melting studies were conducted under three different buffer conditions in order to evaluate the effects of salt concentration and pH on the stability of each mismatch-containing duplex. The main findings are: (i) the mismatches have a wide range of effects on duplex stability, decreasing delta G degrees 37 of denaturation by approximately 0-7 kcal/mol; (ii) the nearest-neighbor assumption commonly used to calculate helix stability breaks down for G.A mismatches; and (iii) G.A mismatches separated by 2 bp form a protonated structure.