Sequence-dependent DNA structure: dinucleotide conformational maps

We have used a computational model to calculate the potential energy surface for dinucleotide steps in double helical DNA as a function of the two principal degrees of freedom, slide and shift. By using a virtual bond to model the constraints imposed by the sugar-phosphate backbone, twist, roll, tilt and rise can be simultaneously optimised for any given values of slide and shift. Thus we have been able to construct complete conformational maps for all step types. For some steps, the maps agree well with experimental data from X-ray crystal structures, but other steps appear to be strongly perturbed by the effects of context (conformational coupling with the neighbouring steps). The optimised values of twist and roll show sequence-dependent variations consistent with the crystal structure data. The conformational maps allow us to construct adiabatic paths, and hence calculate the flexibility of each step with respect to slide and shift. Again the results agree well with the available experimental assignments of flexibility: YR steps, CA/TG and CG, are the most flexible and RR steps, such as AA, the least flexible.     

Strong doublet preferences in nucleotide sequences and DNA geometry

Summary Analysis of the sequence data available today, comprising more than 500,000 bases, confirms the previously observed phenomenon that there are distinct dinucleotide preferences in DNA sequences. Consistent behaviour is observed in the major sequence groups analysed here in prokaryotes, eukaryotes and mitochondria. Some doublet preferences are common to all groups and are found in most sequences of the Los Alamos Library. The patterns seen in such large data sets are very significant statistically and biologically. Since they are present in numerous and diverse nucleotide sequences, one may conclude that they confer evolutionary advantages on the organism.In eukaryotes RR and YY dinucleotides are preferred over YR and RY (where R is a purine and Y a pyrimidine). Since opposite-chain nearest-neighbour purine clashes are major determinants of DNA structure, it appears that the tight packaging of DNA in nucleosomes disfavors, in general, such (YR and RY) steric repulsion.     

Sequence-dependent anisotropic flexibility of B-DNA. A conformational study

Bending flexibility of the six tetrameric duplexes was investigated d(AAAA):d(TTTT), d(AATT)2, d(TTAA)2, d(GGGG):d(CCCC), d(GGCC)2 and d(CCGG)2,. The tetramers were extended in the both directions by regular double helices. The stiffness of the B-DNA double helix when bent into the both grooves proved to be less than that in the perpendicular direction by an order of magnitude. Such an anisotropy is a property of the sugar-phosphate backbone structure. The calculated fluctuations of the DNA bending along the dyad axis, 5-7 degree, are in agreement with experimental value of the DNA persistence length. Anisotropy of the double helix is sequence-dependent: most easily bent into the minor groove are the tetramers with purine-pyrimidine dimer (RY) in the middle. In contrast, YR dinucleotides prefer bending into the major groove. Moreover, they have an equilibrium bend of 6-12 degree into this groove. The above inequality is caused by stacking interaction of the bases. The bend in the central dimer is distributed to some extent between the adjacent links, though the main fraction of the bend remains within the central link. Variation of the sugar-phosphate geometry in the bent helix is inessential, so that DNA remains within the B-family of forms: namely, when the helical axis is bent by 20 degree. the backbone dihedral angles vary by no more than 15 degree. The obtained results are in accord with x-ray structure of the B-DNA dodecamer; they further substantiate our early model of DNA wrapping in the nucleosome by means of "mini-kinks" separated by a half-pitch of the double helix, i.e. by 5-6 b.p. Sequence-dependent anisotropy of DNA presumably dictates the three-dimensional structure of DNA in solution as well. We have found that nonrandom allocation of YR dimers leads to the systematic bends in equilibrium structure of certain DNA fragments.     

Sequence-dependent bending of DNA and phasing of nucleosomes

Conformational analysis has revealed anisotropic flexibility of the B-DNA double helix: it bends most easily into the grooves, being the most rigid when bent in a perpendicular direction. This result implies that DNA in a nucleosome is curved by means of relatively sharp bends ("mini-kinks") which are directed into the major and minor grooves alternatively and separated by 5-6 base pairs. The "mini-kink" model proved to be in keeping with the x-ray structure of the B-DNA dodecamer resolved later, which exhibits two "annealed kinks", also directed into the grooves. The anisotropy of B DNA is sequence-dependent: the pyrimidine-purine dimers (YR) favor bending into the minor groove, and the purine-pyrimidine dinucleotides (RY), into the minor one. The RR and YY dimers appear to be the most rigid dinucleotides. Thus, a DNA fragment consisting of the interchanging oligopurine and oligopyrimidine blocks 5-6 base pairs long should manifest a spectacular curvature in solution. Similarly, a nucleotide sequence containing the RY and YR dimers separated by a half-pitch of the double helix is the most suitable for wrapping around the nucleosomal core. Analysis of the numerous examples demonstrating the specific alignment of nucleosomes on DNA confirms this concept. So, the sequence-dependent "mechanical" properties of the double helix influence the spatial arrangement of DNA in chromatin.     

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.     

Sequence-Dependent Bending of DNA and Phasing of Nucleosomes

Abstract

Conformational analysis has revealed anisotropic flexibility of the B-DNA double helix: it bends most easily into the grooves, being the most rigid when bent in a perpendicular direction. This result implies that DNA in a nucleosome is curved by means of relatively sharp bends (“mini-kinks”) which are directed into the major and minor grooves alternatively and separated by 5–6 base pairs. The “mini-kink” model proved to be in keeping with the x-ray structure of the B-DNA dodecamer resolved later, which exhibits two “annealed kinks”, also directed into the grooves.

The anisotropy of B DNA is sequence-dependent: the pyrimidine-purine dimers (YR) favor bending into the minor groove, and the purine-pyrimidine dinucleotides (RY), into the minor one. The RR and YY dimers appear to be the most rigid dinucleotides. Thus, a DNA fragment consisting of the interchanging oligopurine and oligopyrmidine blocks 5–6 base pairs long should manifest a spectacular curvature in solution.

Similarly, a nucleotide sequence containing the RY and YR dimers separated by a half-pitch of the double helix is the most suitable for wrapping around the nucleosomal core. Analysis of the numerous examples demonstrating the specific alignment of nucleosomes on DNA confirms this concept. So, the sequence-dependent “mechanical” properties of the double helix influence the spatial arrangement of DNA in chromatin.     

Eukaryotic oligomer frequencies are correlated with certain DNA helical parameters

Nucleotide sequences were converted into purine (R)-pyrimidine (Y) series and divided into several groups, embracing higher and lower organisms. The frequencies of R-Y doublets, triplets and quartets in each were calculated. Whereas eukaryotes uniformly show RR + YY greater than RY + YR, in bacteria and phage no such relationship is observed. The triplet and quartet patterns in higher organisms differ from those seen in prokaryotes. In the higher organisms a correlation is observed between the frequencies of triplets and quartets and some DNA structural parameters. Specifically, the most frequent triplets are those with minimal torsion angle deviations from a regular B-DNA. The most frequent quartets are those with minimal roll angle deviations. No such correlations are observed in prokaryotes. We therefore propose that in eukaryotic DNA, tight, smooth packaging imposes sequence constraints.     

Sequence-Dependent Anisotropic Flexibility of B-DNA A Conformational Study

Abstract

Bending flexibility of the six tetrameric duplexes was investigated d(AAAA):d(TTTT), d(AATT)₂, d(TTAA) ₂, d(GGGG):d(CCCC), d(GGCC) ₂ and d(CCGG) ₂. The tetramers were extended in the both directions by regular double helices. The stiffness of the B-DNA double helix when bent into the both grooves proved to be less than that in the perpendicular direction by an order of magnitude. Such an anisotropy is a property of the sugar-phosphate backbone structure. The calculated fluctuations of the DNA bending along the dyad axis, 5–7°, are in agreement with experimental value of the DNA persistence length.

Anisotropy of the double helix is sequence-dependent: most easily bent into the minor groove are the tetramers with purine-pyrimidine dimer (RY) in the middle. In contrast, YR dinucleotides prefer bending into the major groove. Moreover, they have an equilibrium bend of 6–12° into this groove. The above inequality is caused by stacking interaction of the bases.

The bend in the central dimer is distributed to some extent between the adjacent links, though the main fraction of the bend remains within the central link. Variation of the sugar-phosphate geometry in the bent helix is inessential, so that DNA remains within the B-family of forms: namely, when the helical axis is bent by 20°, the backbone dihedral angles vary by no more than 15°.

The obtained results are in accord with x-ray structure of the B-DNA dodecamer; they further substantiate our early model of DNA wrapping in the nucleosome by means of “mini-kinks” separated by a half-pitch of the double helix, i.e. by 5–6 b.p. Sequence-dependent anisotropy of DNA presumably dictates the three-dimentional structure of DNA in solution as well. We have found that nonrandom allocation of YR dimers leads to the systematic bends in equilibrium structure of certain DNA fragments.     

Sequence structure of hidden 10.4-base repeat in the nucleosomes of C. elegans

By measuring prevailing distances between YY, YR, RR, and RY dinucleotides in the large database of the nucleosome DNA fragments from C. elegans, the consensus sequence structure of the nucleosome DNA repeat of C. elegans was reconstructed: (YYYYYRRRRR)n. An actual period was estimated to be 10.4 bases. The pattern is fully consistent with the nucleosome DNA patterns of other eukaryotes, as established earlier, and, thus, the YYYYYRRRRR repeat can be considered as consensus nucleosome DNA sequence repeat across eukaryotic species. Similar distance analysis for [A, T] dinucleotides suggested the related pattern (TTTYTARAAA)n where the TT and AA dinucleotides display rather out of phase behavior, contrary to the "AA or TT" in-phase periodicity, considered in some publications. A weak 5-base periodicity in the distribution of TA dinucleotides was detected.     

Influence of sequence on the conformation of the B-DNA helix.

We have tried to ascertain whether the variability found in the conformational features of the 10 base steps in B-DNA is mainly due to the flanking sequences or to interactions with the environment. From an analysis of the twist parameter of the base-pair steps available from crystals of oligonucleotides and protein/oligonucleotide complexes, we conclude that in most cases the flanking sequences show little influence: the conformation of a DNA region results from the combination of the independent intrinsic features of each base step (average conformation and intrinsic variability), modulated by their interactions with the environment. Only in some cases (YR steps, in particular CG and CA/TG) does it appear that flanking sequences have an influence on the conformation of the central base step. The values obtained allow an approximation to the parameters expected for repetitive DNA sequences. In particular, it is found that poly[d(AG/CT)] should have a strongly alternating conformation, in agreement with recently reported oligonucleotide structures.     

Low temperature solution structures and base pair stacking of double helical d(CGTACG)(2)

Solution structures and base pair stacking of a self- complementary DNA hexamer d(CGTACG)(2) have been studied at 5, 10 and 15 degrees C, respectively. The stacking interactions among the center base pair steps of the DNA duplex are found to improve when the terminal base pairs became less stable due to end fraying. A new structural quantity, the stacking sum (Sigma(s)), is introduced to indicate small changes in the stacking overlaps between base pairs. The improvements in the stacking overlaps to maintain the double helical conformation are probably the cause for the observed temperature dependent structural changes in double helical DNA molecule. A detailed analysis of the helical parameters, backbone torsion angles, base orientations and sugar conformations of these structures has been performed.     

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.     

Anisotropic flexibility of DNA depends on the base sequence. Conformation calculations of double-stranded tetranucleotides AAAA:TTTT, (AATT)2, (TTAA)2, GGGG:CCCC, (GGCC)2, (CCGG)2

The bending flexibility of six tetramers was studied in an assumption that they were extended in the both directions by regular double helices. The bends of B-DNA in different directions were considered. The stiffness of the B-DNA double helix when bent into the both grooves proved to be less pronounced than in the perpendicular direction by the order of magnitude. Such an anisotropy is a feature of the sugar-phosphate backbone structure. The calculated fluctuations of the DNA bending along the dyad axis, 5-7 degrees, are in agreement with the experimental value of DNA persistence length. Anisotropy of the double helix is sequence-dependent: most easily bent into the minor groove are the tetramers with purine-pyrimidine dimer (RY) in the middle. In contrast, YR dinucleotides prefer bending into the major groove, moreover, they have an equilibrium bend of 6-12 degrees into this groove. The above inequality is caused by the stacking interaction of the bases. The bend in the central dimers is distributed to some extent between the adjacent links, though the main fraction of the bend remains within the central link. Variation of the sugar-phosphate geometry in the bent helix is unessential, so that DNA remains within the limits of the B-family of forms: namely, when the helical axis is bent by 20 degrees the backbone dihedral angles vary by no more than 15 degrees. The obtained results are in accord with the X-ray structure of B-DNA dodecamer; they further substantiate our earlier model of DNA wrapping in the nucleosome by means of "mini-kinks" separated by a half-pitch of the double helix, i.e. by 5-6 b. p. Sequence-dependent anisotropy of DNA presumably dictates the three-dimensional structure of DNA in solution as well. We have found that nonrandom allocation of YR dimers leads to the systematic bends in the equilibrium structure of certain DNA fragments. To the four "Calladine rules" two more can be added: the minor-groove steric clash of purines in the YR sequences are avoided by: (1) bending of the helix into the major groove; (2) increasing the distance between the base pairs (stretching the double helix).     

The Intramolecular Impact to the Sequence Specificity of B→A Transition: Low Energy Conformational Variations in AA/TT and GG/CC Steps

Abstract It is well known, that local B→A transformation in DNA is involved in several biological processes. In vitro B?A transition is sequence-specific. The physical basis of this specificity is not known yet. Here we analyze the effect of intramolecular interactions on the structural behavior of the GG/CC and AA/TT steps. These steps exemplify sequence specific bias to the B- or A-form structure. Optimization of potential energy of the molecular systems composed of an octanucle-otide, neutralized by Na(+) and solvated with TIP3P water molecules in rectangular box with periodic boundary conditions gives the statistically representative sets of low energy structures for GG/CC and AA/TT steps in the middle of the diverse flanking sequences. Permissible 3D variations of GG/CC and AA/TT, and correlation of the relative motion of base pairs in these steps were analyzed. AA/TT step permits high variability for low energy conformers in the B-form DNA and small variability for low energy conformers in the A-form DNA. In contrast GG/CC step permits high variability for low energy conformers in the A-form DNA and small variability for low energy conformers in the B-form DNA. The relative motion of base pairs in GG/CC step is high correlated, while in AA/TT step this correlation is notably less. Atom-atom interactions inside-the-step always favors the B-form and their component - stacking interactions (atomatom interactions between nucleic bases) is crucial for the duplex stabilization. Formation of the A-form for both steps is a result of interactions with the flanking sequences and water-cation environment in the box. The average energy difference between conformations presenting B-form and A-form for the GG/CC step is high, while for the AA/TT step it is rather low. Thus, intramolecular interactions in GG/CC and AA/TT steps affect the possible conformational diversity ("conformational entropy") of the A- and B- type structures of DNA step. This determines the known bias of the A-form DNA depending on the enrichment of sequences with GG/CC. If structural tuning during the process of protein-DNA complex formation lead to the local B→A transformation of DNA, it is largely directed by high conformational diversity of GG/CC step in the A-form. In such a case the presence in the target site of both kinds of examined steps ensures the reversible character of ligand binding.     

Sequence Structure of Hidden 10.4-base Repeat in the Nucleosomes of C. elegans

Abstract

By measuring prevailing distances between YY, YR, RR, and RY dinucleotides in the large database of the nucleosome DNA fragments from C. elegans, the consensus sequence structure of the nucleosome DNA repeat of C. elegans was reconstructed: (YYYYYRRRRR)_n. An actual period was estimated to be 10.4 bases. The pattern is fully consistent with the nucleosome DNA patterns of other eukaryotes, as established earlier, and, thus, the YYYYYRRRRR repeat can be considered as consensus nucleosome DNA sequence repeat across eukaryotic species. Similar distance analysis for [A, T] dinucleotides suggested the related pattern (TTTYTARAAA)_n where the TT and AA dinucleotides display rather out of phase behavior, contrary to the “AA or TT” in-phase periodicity, considered in some publications. A weak 5-base periodicity in the distribution of TA dinucleotides was detected.     

Sequence Dependencies of DNA Deformability and Hydration in the Minor Groove

DNA deformability and hydration are both sequence-dependent and are essential in specific DNA sequence recognition by proteins. However, the relationship between the two is not well understood. Here, systematic molecular dynamics simulations of 136 DNA sequences that differ from each other in their central tetramer revealed that sequence dependence of hydration is clearly correlated with that of deformability. We show that this correlation can be illustrated by four typical cases. Most rigid basepair steps are highly likely to form an ordered hydration pattern composed of one water molecule forming a bridge between the bases of distinct strands, but a few exceptions favor another ordered hydration composed of two water molecules forming such a bridge. Steps with medium deformability can display both of these hydration patterns with frequent transition. Highly flexible steps do not have any stable hydration pattern. A detailed picture of this correlation demonstrates that motions of hydration water molecules and DNA bases are tightly coupled with each other at the atomic level. These results contribute to our understanding of the entropic contribution from water molecules in protein or drug binding and could be applied for the purpose of predicting binding sites.     

The ordering of nucleotides in the DNA: strong pyrimidine-purine patterns near homooligomer tracts

Here, we study the frequencies of occurrence of homooligomers flanked by one base, XnU or UXn, where X = A, C, G, T and U not equal to X. Specifically, we search for preferences (or discriminations) in their nearest neighbor doublet, VV. Extensive analysis of the data base reveals striking patterns in such VVUXn or UXn VV oligomers (V = A, C, G, T). With very few exceptions, if the VV and Xn are composed of complementary nucleotides, those oligomers having a pyrimidine (Y)-purine (R) junction are preferred over those with an RY one. If the VV and Xn nucleotides are not complementary, the RY junction oligomers are preferred over their YR counterparts. These trends are observed consistently in eukaryotic and prokaryotic sequences. They are particularly striking in the YR greater than RY oligomers containing complementary nucleotides. The general preferences and discriminations described here are in the same direction as our previous results for homooligomer tracts. These recurrences, along with some additional universal "rules", aid in our understanding of the ordering of nucleotides in the DNA.