Local variability and base sequence effects in DNA crystal structures

The importance and usefulness of local doublet parameters in understanding sequence dependent effects has been described for A- and B-DNA oligonucleotide crystal structures. Each of the two sets of local parameters described by us in the NUPARM algorithm, namely the local doublet parameters, calculated with reference to the mean z-axis, and the local helical parameters, calculated with reference to the local helix axis, is sufficient to describe the oligonucleotide structures, with the local helical parameters giving a slightly magnified picture of the variations in the structures. The values of local doublet parameters calculated by NUPARM algorithm are similar to those calculated by NEWHELIX90 program, only if the oligonucleotide fragment is not too distorted. The mean values obtained using all the available data for B-DNA crystals are not significantly different from those obtained when a limited data set is used, consisting only of structures with a data resolution of better than 2.4 A and without any bound drug molecule. Thus the variation observed in the oligonucleotide crystals appears to be independent of the quality of their crystallinity. No strong correlation is seen between any pair of local doublet parameters but the local helical parameters are interrelated by geometric relationships. An interesting feature that emerges from this analysis is that the local rise along the z-axis is highly correlated with the difference in the buckle values of the two basepairs in the doublet, as suggested earlier for the dodecamer structures (Bansal and Bhattacharyya, in Structure & Methods: DNA & RNA, Vol. 3 (Eds., R.H. Sarma and M.H. Sarma), pp. 139-153 (1990)). In fact the local rise values become almost constant for both A- and B-forms, if a correction is applied for the buckling of the basepairs. In B-DNA the AA, AT, TA and GA basepair sequences generally have a smaller local rise (3.25 A) compared to the other sequences (3.4 A) and this seems to be an intrinsic feature of basepair stacking interaction and not related to any other local doublet parameter. The roll angles in B-DNA oligonucleotides have small values (less than +/- 8 degrees), while mean local twist varies from 24 degrees to 45 degrees. The CA/TG doublet sequences show two types of preferred geometries, one with positive roll, small positive slide and reduced twist and another with negative roll, large positive slide and increased twist.(ABSTRACT TRUNCATED AT 400 WORDS)     

Local conformational variations observed in B-DNA crystals do not improve base stacking: computational analysis of base stacking in a d(CATGGGCCCATG)(2) B<-->A intermediate crystal structure

The crystal structure of d(CATGGGCCCATG)₂ shows unique stacking patterns of a stable B↔A-DNA intermediate. We evaluated intrinsic base stacking energies in this crystal structure using an ab initio quantum mechanical method. We found that all crystal base pair steps have stacking energies close to their values in the standard and crystal B-DNA geometries. Thus, naturally occurring stacking geometries were essentially isoenergetic while individual base pair steps differed substantially in the balance of intra-strand and inter-strand stacking terms. Also, relative dispersion, electrostatic and polarization contributions to the stability of different base pair steps were very sensitive to base composition and sequence context. A large stacking flexibility is most apparent for the CpA step, while the GpG step is characterized by weak intra-strand stacking. Hydration effects were estimated using the Langevin dipoles solvation model. These calculations showed that an aqueous environment efficiently compensates for electrostatic stacking contributions. Finally, we have carried out explicit solvent molecular dynamics simulation of the d(CATGGGCCCATG)₂ duplex in water. Here the DNA conformation did not retain the initial crystal geometry, but moved from the B↔A intermediate towards the B-DNA structure. The base stacking energy improved in the course of this simulation. Our findings indicate that intrinsic base stacking interactions are not sufficient to stabilize the local conformational variations in crystals.     

Invariant and variable base stacking geometries in B-DNA and A-DNA

We calculated the interatomic distances between all couples of non-hydrogen atoms belonging to the neighboring Watson-Crick base pairs in the available crystal structures of DNA. Their standard deviations revealed remarkably large differences in the variability of the base stacking geometries of the particular steps. In line with experimental studies in solution, (CpA)-(TpG) and (TpA).(TpA) were identified as the most variable or flexible steps in the crystal structures of B-DNA. On the other hand, base stacking geometries of the (ApT).(ApT) steps were the most invariant, which was very surprising because all three steps composed only of C and G were much more flexible. This finding suggests that conformational stability of DNA and the rigidity have different origins. Furthermore, the nucleotide sequence dependence of the flexibility was almost reversed in A-DNA because the most flexible steps in B-DNA were the least flexible in A-DNA. The most invariant steps of B-DNA were variable in A-DNA. The (ApT).(ApT) step was a notable exception to this rule because it belonged to the most rigid steps in both B-DNA and A-DNA. The present results are fully consistent with the properties that poly(dA-dT).poly(dA-dT), poly(dA).poly(dT), poly(dAdC).poly(dG-dT) and poly(dA-dG).poly(dC-dT) exhibit in solution.     

Energy hyperspace for stacking interaction in AU/AU dinucleotide step: Dispersion‐corrected density functional theory study

Double helical structures of DNA and RNA are mostly determined by base pair stacking interactions, which give them the base sequence‐directed features, such as small roll values for the purine–pyrimidine steps. Earlier attempts to characterize stacking interactions were mostly restricted to calculations on fiber diffraction geometries or optimized structure using ab initio calculations lacking variation in geometry to comment on rather unusual large roll values observed in AU/AU base pair step in crystal structures of RNA double helices. We have generated stacking energy hyperspace by modeling geometries with variations along the important degrees of freedom, roll, and slide, which were chosen via statistical analysis as maximally sequence dependent. Corresponding energy contours were constructed by several quantum chemical methods including dispersion corrections. This analysis established the most suitable methods for stacked base pair systems despite the limitation imparted by number of atom in a base pair step to employ very high level of theory. All the methods predict negative roll value and near‐zero slide to be most favorable for the purine–pyrimidine steps, in agreement with Calladine's steric clash based rule. Successive base pairs in RNA are always linked by sugar–phosphate backbone with C3′‐endo sugars and this demands C1′–C1′ distance of about 5.4 Å along the chains. Consideration of an energy penalty term for deviation of C1′–C1′ distance from the mean value, to the recent DFT‐D functionals, specifically ωB97X‐D appears to predict reliable energy contour for AU/AU step. Such distance‐based penalty improves energy contours for the other purine–pyrimidine sequences also. © 2013 Wiley Periodicals, Inc. Biopolymers 101: 107–120, 2014.     

Characterization of the base stacking interactions in DNA by means of Lennard-Jones empirical potentials

Three empirical potentials of the Lennard-Jones type taken from literature were used to calculate van der Waals contributions to the base-pair couples stacking energies in B-DNA and A-DNA type double helical conformations. The information obtained can be summarized as follows: (1) Purine-pyrimidine and purine-purine (pyrimidine-pyrimidine in the complementary strand) sequences preferred right-handed helical arrangement, whereas pyrimidine-purine sequences favoured left-handed (C-G) or unwound (T-A) stacking geometry; in the latter case this only held for B- but not A-DNA (the C-G sequence was not studied in A-DNA owing to difficulties (see below) with the G amino group in B-DNA); (2) Positive propeller twist of base-pairs was stable in both B- and A-DNA; the thymine methyl group promoted the propeller and this effect was strongest in the A-T step; (3) Tilt of base pairs occurred around zero in B-DNA and between 15-20 degrees C in A-DNA, in agreement with the experimental observations; (4) Vertical separation of base pairs was optimal within 0.33-0.34 nm for B-DNA and around 0.29 nm for A-DNA using the 9-6 potential. The 12-6 potential gave similar results with B-DNA as the 9-6 potential if, however, base pairs were separated by 0.35-0.36 nm; (5) The calculated effect of the guanine amino group was substantially stronger than expected on the basis of data derived from X-ray diffraction studies of oligonucleotide single crystals; (6) In comparison with the 9-6 potential, the 12-6 potential provided more strict energy minima. In summary, the empirical potentials reproduce, at least semiquantitatively, many but not all DNA properties; this should be taken into account whenever the potentials are used for prediction purposes.     

Groove Width and Depth of B-DNA Structures Depend on Local Variation in Slide

Abstract

The groove widths of DNA helix, especially minor groove width, are generally believed to be important for recognition of DNA by various types of ligands. It has been postulated earlier that large negative propeller twist, in the AT rich regions compresses the minor groove of duplex DNA A systematic study has now been carried out by generating models with different values of local doublet and intra-basepair parameters and calculating their minor groove widths. It is found that several local doublet parameters affect the minor groove width but it depends most strongly on the local step parameters roll and slide when each parameter is considered individually. However, a detailed analysis of the various local parameters within the B-DNA family of crystal structures indicates that propeller twist and slide are most strongly correlated with the observed values of minor groove width. The groove depth is also strongly correlated with slide. Thus the local base sequence dependent variations in slide can modify both the groove width and depth and consequently determine the ligand binding properties of DNA.     

Groove width and depth of B-DNA structures depend on local variation in slide.

The groove widths of DNA helix, especially minor groove width, are generally believed to be important for recognition of DNA by various types of ligands. It has been postulated earlier that large negative propeller twist, in the AT rich regions compresses the minor groove of duplex DNA. A systematic study has now been carried out by generating models with different values of local doublet and intra-basepair parameters and calculating their minor groove widths. It is found that several local doublet parameters affect the minor groove width but it depends most strongly on the local step parameters roll and slide when each parameter is considered individually. However, a detailed analysis of the various local parameters within the B-DNA family of crystal structures indicates that propeller twist and slide are most strongly correlated with the observed values of minor groove width. The groove depth is also strongly correlated with slide. Thus the local base sequence dependent variations in slide can modify both the groove width and depth and consequently determine the ligand binding properties of DNA.     

Base pair buckling can eliminate the interstrand purine clash at the CpG steps in B-DNA caused by the base pair propeller twisting

Results of calculations using various empirical potentials suggest that base pair buckling, which commonly occurs in DNA crystal structures, is sufficient to eliminate the steric clash at CpG steps in B-DNA, originating from the base pair propeller twisting. The buckling is formed by an inclination of cytosines while deviations of guanines from a plane perpendicular to the double helix axis are unfavorable. The buckling is accompanied by an increased vertical separation of the base pair centers but the buckled arrangement of base pairs is at least as stable as when the vertical separation is normal and buckle zero. In addition, room is created by the increased vertical separation for the bases to propeller twist as is observed in DNA crystal structures. Further stabilization of base stacking is introduced into the buckled base pair arrangement by roll opening the base pairs into the double helix minor groove. The roll may lead to the double helix bending and liberation of guanines from the strictly perpendicular orientation to the double helix axis. The liberated guanines further contribute to the base pair buckling and stacking improvement. This work also suggests a characteristic very stable DNA structure promoted by nucleotide sequences in which runs of purines follow runs of pyrimidine bases.     

Index to Authors,Volume 3

Abstract

Results of calculations using various empirical potentials suggest that base pair buckling, which commonly occurs in DNA crystal structures, is sufficient to eliminate the steric clash at CpG steps in B-DNA, originating from the base pair propeller twisting. The buckling is formed by an inclination of cytosines while deviations of guanines from a plane perpendicular to the double helix axis are unfavorable. The buckling is accompanied by an increased vertical separation of the base pair centers but the buckled arrangement of base pairs is at least as stable as when the vertical separation is normal and buckle zero. In addition, room is created by the increased vertical separation for the bases to propeller twist as is observed in DNA crystal structures. Further stabilization of base stacking is introduced into the buckled base pair arrangement by roll opening the base pairs into the double helix minor groove. The roll may lead to the double helix bending and liberation of guanines from the strictly perpendicular orientation to the double helix axis. The liberated guanines further contribute to the base pair buckling and stacking improvement. This work also suggests a characteristic very stable DNA structure promoted by nucleotide sequences in which runs of purines follow runs of pyrimidine bases.     

Mediation of the A/B-DNA helix transition by G-tracts in the crystal structure of duplex CATGGGCCCATG

The crystal structure of the DNA dodecamer duplex CATGGGCCCATG lies on a structural continuum along the transition between A- and B-DNA. The dodecamer possesses the normal vector plot and inclination values typical of B-DNA, but has the crystal packing, helical twist, groove width, sugar pucker, slide and x-displacement values typical of A-DNA. The structure shows highly ordered water structures, such as a double spine of water molecules against each side of the major groove, stabilizing the GC base pairs in an A-like conformation. The different hydration of GC and AT base pairs provides a physical basis for solvent-dependent facilitation of the A↔B helix transition by GC base pairs. Crystal structures of CATGGGCCCATG and other A/B-DNA intermediates support a ‘slide first, roll later’ mechanism for the B→A helix transition. In the distribution of helical parameters in protein–DNA crystal structures, GpG base steps show A-like properties, reflecting their innate predisposition for the A conformation.     

Effect of neighboring bases on base-pair stacking orientation: a molecular dynamics study

It is generally believed that base-pair stacking interaction in DNA double helix is one of the strongest interactions that governs sequence directed structural variability. However, X-ray crystal structures of some base-paired doublet sequences have been seen to adopt different structures when flanked by different base-pairs. DNA crystal database, however, is still too small to make good statistical inference about effect of such flanking residues. Influence of neighboring residue on the local helical geometry of a base-paired doublet in B-DNA has been investigated here using molecular dynamics simulation. We have generated ensembles of structures for d(CA).d(TG) and d(AA).d(TT) base-paired doublets located at the centers of d(CGCGCAAAGCG).d(CGCTTTGCGCG) and d(CGCGAAAACGCG).d(CGCGTTTTCGCG) sequences along with their analogs by varying the bases either at 5'- or 3'- position to the central doublet. Comparison of base paired doublet parameters for the ensembles of structures show that stacking geometry of d(CA).d(TG) doublet depends on some of the flanking base-pairs. On the other hand d(AA).d(TT) doublet remains nearly unperturbed when the flanking residues are altered.     

C-H.O hydrogen bonds in minor groove of A-tracts in DNA double helices

Analysis of available B-DNA type oligomeric crystal structures as well as protein-bound DNA fragments (solved using data with resolution <2.6 A) indicates that in both data sets, a majority of the (3'-Ade) H2..O2(3'-Thy/Cyt) distances in AA.TT and GA.TC dinucleotide steps, are considerably shorter than their values in a uniform fibre model, and are smaller than their optimum separation distance. Since the electropositive C2-H2 group of adenine is in close proximity of the electronegative keto oxygen atoms of both pyrimidine bases in the antiparallel strand of the double-helical DNA structures, it suggests the possibility of intra-base-pair as well as cross-strand C-H..O hydrogen bonds in the minor groove. The C2-H2..O2 hydrogen bonds within the A.T base-pairs could be a natural consequence of Watson-Crick pairing. However, the close cross-strand interactions between the bases at the 3'-ends of the AA.TT and GA.TC steps arise due to the local sequence-dependent geometry of these steps. While the base-pair propeller twist in these steps is comparable to the fibre model, some of the other local parameters such as base-pair opening angle and inter-base-pair slide show coordinated changes, leading to these shorter C2-H2..O2 distances. Hence, in addition to the well-known minor groove hydration, it appears that favourable C2-H2..O2 cross-strand interactions may play a role in imparting a characteristic geometry to AA.TT and GA.TC steps, as well as An.Tn and GAn.TnC tracts, which leads to a narrow minor groove in these regions.     

Solution structure of the dodecamer d-(CATGGGCC-CATG)2 is B-DNA. Experimental and molecular dynamics study

The DNA duplex d-(CATGGGCCCATG)2 has been studied in solution by FTIR, NMR and CD. The experimental approaches have been complemented by series of large-scale unrestrained molecular dynamics simulation with explicit inclusion of solvent and counterions. Typical proton-proton distances extracted from the NMR spectra and the CD spectra are completely in agreement with slightly modified B-DNA. By molecular dynamics simulation, starting from A-type sugar pucker, a spontaneous repuckering to B-type sugar pucker was observed. Both experimental and theoretical approaches suggest for the dodecamer d-(CATGGGCCCATG)2 under solution conditions puckering of all 2'-deoxyribose residues in the south conformation (mostly C2'-endo) and can exclude significant population of sugars in the north conformation (C3'-endo). NMR, FTIR and CD data are in agreement with a B-form of the dodecamer in solution. Furthermore, the duplex shows a cooperative B-A transition in solution induced by addition of trifluorethanol. This contrasts a recently published crystal structure of the same oligonucleotide found as an intermediate between B- and A-DNA where 23 out of 24 sugar residues were reported to adopt the north (N-type) conformation (C3'-endo) like in A-DNA (Ng, H. L., Kopka, M. L. and Dickerson, R. E., Proc. Natl. Acad. Sci. U S A 97, 2035-2039 (2000)). The simulated structures resemble standard B-DNA. They nevertheless show a moderate shift towards A-type stacking similar to that seen in the crystal, despite the striking difference in sugar puckers between the MD and X-ray structures. This is in agreement with preceding MD reports noticing special stacking features of G-tracts exhibiting a tendency towards the A-type stacking supported by the CD spectra also reflecting the G-tract stacking. MD simulations reveal several noticeable local conformational variations, such as redistribution of helical twist and base pair roll between the central GpC steps and the adjacent G-tract segments, as well as a substantial helical twist variability in the CpA(TpG) steps combined with a large positive base pair roll. These local variations are rather different from those seen in the crystal.     

Base sequence, local helix structure, and macroscopic curvature of A-DNA and B-DNA

Given a specified DNA sequence and starting with an idealized conformation for the double helix (A-DNA or B-DNA), the dependence of conformational energy on variations in the local geometry of the double helix can be examined by computer modeling. By averaging over all thermally accessible states, it is possible to determine 1) how the optimum local structure differs from the initial idealized conformation and 2) the energetic costs of small structural deformations. This paper describes such a study. Tables are presented for the prediction of helix twist angles and base pair roll angles for both A-DNA and B-DNA when the sequence has been specified. Local deviations of helix parameters from their average values can accumulate to produce a net curvature of the molecule, a curvature that can be sharp enough to be experimentally detectable. As an independent check on the method, the calculations provide predictions for the longitudinal compressibility (Young's modulus) and the average torsional stiffness, both of which are in good agreement with experimental values. In examining the role of sequence-dependent variations in helix structure for the recognition of specific sequences by proteins, we have calculated the energy needed to deform the self-complementary hexanucleotide d(CAATTG) to match the local geometry of d(GAATTC), which is the sequence recognized by the EcoRI restriction endonuclease. That energy would be sufficient to reduce the binding of the incorrect sequence to the protein by over 2 orders of magnitude relative to the correct sequence.     

Different intrastrand and interstrand contributions to stacking account for roll variations at the alternating purine-pyrimidine sequences in A-DNA and A-RNA.

An explanation is suggested for the roll alternation between low and high values in A-type nucleic acid duplexes containing alternating sequences of purine and pyrimidine residues. The explanation combines two points. (1) Roll inevitably occurs in A-type duplexes due to geometrical reasons. (2) Intrastrand base stacking is much more impaired by roll than interstrand base stacking in A-type duplexes. Therefore purine-pyrimidine steps, whose bases mainly exhibit an intrastrand stacking, resist roll and decrease it. By contrast, bases at pyrimidine-purine steps exhibit a significant interstrand stacking that is tolerant to roll in A-type nucleic acid duplexes. In consequence, it is favourable if the purine-pyrimidine and pyrimidine-purine steps adopt low and high rolls, respectively in A-conformations of DNA and RNA molecules containing alternating purine-pyrimidine sequences. This is actually observed in the relevant molecular crystal structures.     

DNA basepair step deformability inferred from molecular dynamics simulations

The sequence-dependent DNA deformability at the basepair step level was investigated using large-scale atomic resolution molecular dynamics simulation of two 18-bp DNA oligomers: d(GCCTATAAACGCCTATAA) and d(CTAGGTGGATGACTCATT). From an analysis of the structural fluctuations, the harmonic potential energy functions for all 10 unique steps with respect to the six step parameters have been evaluated. In the case of roll, three distinct groups of steps have been identified: the flexible pyrimidine-purine (YR) steps, intermediate purine-purine (RR), and stiff purine-pyrimidine (RY). The YR steps appear to be the most flexible in tilt and partially in twist. Increasing stiffness from YR through RR to RY was observed for rise, whereas shift and slide lack simple trends. A proposed measure of the relative importance of couplings identifies the slide-rise, twist-roll, and twist-slide couplings to play a major role. The force constants obtained are of similar magnitudes to those based on a crystallographic ensemble. However, the current data have a less complicated and less pronounced sequence dependence. A correlation analysis reveals concerted motions of neighboring steps and thus exposes limitations in the dinucleotide model. The comparison of DNA deformability from this and other studies with recent quantum-chemical stacking energy calculations suggests poor correlation between the stacking and flexibility.     

The potentially Z-DNA-forming sequence d(GTGTACAC) crystallizes as A-DNA

(GT)n/(CA)n sequences have stimulated much interest because of their frequent occurrence in eukaryotic DNA and their potential for forming the left-handed Z-DNA structure. We here report the X-ray crystal structure of a self-complementary octadeoxynucleotide, d(GTGTACAC), at 2.5 A resolution. The molecule adopts a right-handed double-helical conformation belonging to the A-DNA family. In this alternating purine-pyrimidine DNA minihelix the roll and twist angles show alternations qualitatively consistent with Calladine's rules. The average tilt angle of 9.3 degrees is between the values found in A-DNA (19 degrees) and B-DNA (-6 degrees) fibers. It is envisaged that such intermediate conformations may render diversity to genomic DNA. The base-pair tilt angles and the base-pair displacements from the helix axis are found to be correlated for the known A-DNA double-helical fragments.     

Sequence-dependent DNA structure: a database of octamer structural parameters

We have constructed the potential energy surfaces for all unique tetramers, hexamers and octamers in double helical DNA, as a function of the two principal degrees of freedom, slide and shift at the central step. From these potential energy maps, we have calculated a database of structural and flexibility properties for each of these sequences. These properties include: the values of each of the six step parameters (twist roll, tilt, rise, slide and shift), for each step of the sequence; flexibility measures for both decrease and increase in each property value from the minimum energy conformation for the central step; and the deviation from the path of a hypothetical straight octamer. In an analysis of structural change as a function of sequence length, we observe that almost all DNA tends to B-DNA and becomes less flexible. A more detailed analysis of octamer properties has allowed us to determine the structural preferences of particular sequence elements. GGC and GCC sequences tend to confer bistability, low stability and a predisposition to A-form DNA, whereas AA steps strongly prefer B-DNA and inhibit A-structures. There is no correlation between flexibility and intrinsic curvature, but bent DNA is less stable than straight. The most difficult deformation is undertwisting. The TA step stands out as the most flexible sequence element with respect to decreasing twist and increasing roll. However, as with the structural properties, this behavior is highly context-dependent and some TA steps are very straight.     

Stacking interactions in RNA and DNA: Roll‐slide energy hyperspace for ten unique dinucleotide steps

Understanding dinucleotide sequence directed structures of nuleic acids and their variability from experimental observation remained ineffective due to unavailability of statistically meaningful data. We have attempted to understand this from energy scan along twist, roll, and slide degrees of freedom which are mostly dependent on dinucleotide sequence using ab initio density functional theory. We have carried out stacking energy analysis in these dinucleotide parameter phase space for all ten unique dinucleotide steps in DNA and RNA using DFT‐D by ωB97X‐D/6‐31G(2d,2p), which appears to satisfactorily explain conformational preferences for AU/AU step in our recent study. We show that values of roll, slide, and twist of most of the dinucleotide sequences in crystal structures fall in the low energy region. The minimum energy regions with large twist values are associated with the roll and slide values of B‐DNA, whereas, smaller twist values correspond to higher stability to RNA and A‐DNA like conformations. Incorporation of solvent effect by CPCM method could explain the preference shown by some sequences to occur in B‐DNA or A‐DNA conformations. Conformational preference of BII sub‐state in B‐DNA is preferentially displayed mainly by pyrimidine–purine steps and partly by purine–purine steps. The purine–pyrimidine steps show largest effect of 5‐methyl group of thymine in stacking energy and the introduction of solvent reduces this effect significantly. These predicted structures and variabilities can explain the effect of sequence on DNA and RNA functionality. © 2014 Wiley Periodicals, Inc. Biopolymers 103: 134–147, 2015.