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* Molecular Modelling & Bioinformatic Unit, Institut de Recerca Biomèdica-Parc Científic de Barcelona, Barcelona 08028, Spain; and
Departament de Fisicoquímica, Facultat de Farmacia, and
Departament de Bioquímica i Biologia Molecular, Facultat de Química, Universitat de Barcelona, Barcelona 08028, Spain
Correspondence: Address reprint requests to M. Orozco, E-mail: modesto{at}mmb.pcb.ub.es or F. J. Luque, E-mail: javier{at}far1.far.ub.es.
| ABSTRACT |
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| INTRODUCTION |
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Hoogsteen d (A-T) pairings are known to stabilize triads in parallel triplexes (3
,4
,20
,21
), as well as in parallel duplexes (9
). Furthermore, Hoogsteen A-T pairings are commonly found inserted in the middle of B-type Watson-Crick duplexes when the DNA interacts with some drugs or proteins (22
26
). Because d (AT)n regions have a key role in the control of gene expression (24
,27
,28
), the formation of Hoogsteen islands in the middle of tracks of d (AT)n B-DNA might be involved in the existence of a subtle regulatory mechanism of gene function (19
,22
,24
).
In a previous article (19
) we analyzed the properties of pure apH duplexes made with tracts from 2 to 8 d (AT), i.e., duplexes from 4 to 16 mer. These calculations can provide evidence for the existence of conformation derived from crystal structures reported by Subirana's group (17
,18
) in solution. Our calculations also suggested that segments of apH helix might exist in conditions where the flexibility of the DNA is externally restricted. Preliminary calculations indicated that, at least for poly-D (A) sequences, the junctions between B and apH helices are not sterically hindered. In this article, we will analyze systematically the structure of chimeric duplexes formed by portions of B and apH helices in d (AT) tracks. For this purpose we have performed molecular dynamics simulations of 12-, 14-, and 16-mer duplexes containing each 2, 4, or 6 apH steps in the center of the helix and surrounded by segments of normal B helix. Results are compared with those previously obtained for pure B and apH duplexes of the same global length. The analysis of >40 ns of equilibrated MD simulation on the same structural motif allowed us to describe with detail the characteristics of the B/apH chimeras.
| METHODS |
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![]() | (1) |
The free energy computed from Eq. 1 does not provide a direct measure of the stability of a structure, but for two oligonucleotides of the same sequence the difference in free energies gives a direct measure of the relative stability (see Eq. 2). Equivalent equations can be formulated for the entropic and effective energy contributions.
![]() | (2) |
For a regular helix there is a linear relationship between the free energy (as computed in Eq. 1) and the total length of the oligonucleotide (see Eq. 3; (9
,19
,39
)). This allowed us to obtain accurate estimates of the relative stability of two helical conformations by averaging data obtained from series of different MD simulations, thus reducing the statistical noise intrinsic to the use of Eq. 1.
![]() | (3) |
Equation 3 cannot be directly used in these systems, because in principle the free energy of the chimera depends not only on the length of the oligonucleotide, but also on the relative content of each type of structure (B, apH) and the number of junctions. A reasonable extension of Eq. 3 can be derived assuming that the thermodynamics of each constituent structure of the chimera is independent of the other. This yields to Eq. 4, where the total oligonucleotide (containing p steps) is divided in n steps of X and m steps of Y conformations, and z junctions linking the two types of structures. In a first approximation, the effective nucleation free energy of the chimera (
x/y) can be interpolated from those of the pure oligonucleotides using Eq. 5. We should note that the nucleation free energies of B and apH helices are very similar (19
), reducing the uncertainties derived from the use of Eq. 5. We should also notice that Eqs. 4 and 5 can be easily rewritten in terms of effective energies.
![]() | (4) |
![]() | (5) |
Because the elongation and nucleation free energies of the B and apH helices are known from previous work (19
) the free energy of junction can be easily derived using Eqs. 4 and 5 from the analysis of the free energies of the nine oligonucleotides of different lengths and compositions studied here.
Interaction properties of the structures were obtained from classical molecular interaction potential (cMIP) calculations for an O+ probe molecule (30
32
,48
). Solvation was represented by integrating the water population along the trajectory (30
32
). The molecular flexibility was analyzed using principal component analysis method (49
). The eigenvalues {
i} were manipulated (50
) to derive information on the strength of the harmonic constant associated to the essential movements (Eq. 6). The eigenvectors (
i) were used to describe the nature of the essential deformation modes and to compare the pattern of flexibility of two trajectories using our standard algorithms ((39
,50
52
); Eqs. 7 and 8), or the recently developed metrics (53
), which introduces a Boltzmann-weighting scheme in the absolute (Eq. 9) and relative (Eq. 10) comparison indexes.
![]() | (6) |
i is the eigenvalue describing the essential movement i in Å2.
![]() | (7) |
stands for the eigenvectors, and n is the number of motions that account for a given value of structural variance in the trajectories (typically only 10 motions account for
80% of the variance). Only backbone atoms (up to C1') were considered in the comparison.
![]() | (8) |
and
) are obtained by comparing the first and last halves of the same trajectory. Both
and
are 1 for two identical trajectories and 0 when they sample orthogonal movements.
![]() | (9) |
![]() | (10) |
i is the eigenvalue (in Å2) associated to eigenvector
i and
x is a displacement (in Å) common to all the modes, that is selected (J. R. Blas, A. Pérez, F. J. Luque, and M. Orozco, unpublished data) as the minimum one that makes negligible to the calculation of
(Eq. 9) of eigenvectors (i, j) associated to high frequencies (those that are not needed to explain 99% of the variance). For coherence with the other indexes the sums are extended to the same active space as in Eqs. 9 and 10. Note that when
x = 0, Eqs. 9 and 10 converge to Eqs. 7 and 8.
Geometrical analysis was performed using the ptraj module in AMBER6.0 (38
) and in-house programs, and helical analysis was carried out using Olson's X3DNA program (54
) and Curves5.3 (55
). Basepairs at the ends of the duplex were removed in all the cases.
| RESULTS AND DISCUSSION |
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2 Å in all the cases), and intermediate between those found for B and apH helices. In summary, the RMSD data suggest that the structures of chimeras seem to be very stable under these simulation conditions. Moreover, such structural stability is not affected by the length of the oligonucleotide nor the ratio between B and apH helices. The presence of junction, therefore, does not seem to introduce any dramatic effect on the structure of the duplex.
|
0.5 ns and imply interchanges of hydrogen-bond donors and acceptors between adenine and thymine. For one of the trajectories (apH6B10; see Table 3), the "partial opening" movement lasts >2 ns and implies that at one Hoogsteen basepair of the junction the N6 (A)
O4 (T) and N3 (T)
N7 (A) interactions are lost while one N6 (A)
O2 (T) hydrogen bond is formed leading to an overall reduction in the percentage of H-bonding detected during the entire trajectory (see Table 3). These "partial opening" events, nevertheless, do not introduce any major alteration in the general geometry of the helix.
|
Structural description of the chimeras
The general shape of the chimeras is very similar to that of B and apH helices (see Fig. 1). The different ratio of B and apH helices or the presence of B/apH junctions does not alter the general shape nor the helical parameters of the duplex. The periodicity and rise of the apH helix is similar to that of B-DNA (17
19
) and do not change much in the different chimeras (see Table 4). The fact that phase angles for sugars in apH helices are typically smaller (57°) than those found in B-DNA is also visible in chimeras, because the average phase angle generally decreases as the content of apH helix increases. However, all the sugars are found in the South-Southeast region. All the structures (see Fig. 1 and Table 4) have a groove topology similar to that of B-DNA, but the average size of the minor groove decreases as the percentage of apH helix increases, as expected from the fact that apH helices show in general smaller widths of the minor groove than B-DNAs.
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|
The three-dimensional distribution of classical molecular interaction potential (CMIP (48
)) in chimeras is intermediate between those found in both B and apH helices (see Fig. 2). For B-DNA there is a strong region of favorable interaction with small cations along the minor groove. The size of such a region becomes progressively diminished as the content of apH helix in the duplex increases. All the helices are well solvated by 2527 waters per step (water molecules at <3.5 Å from any heteroatom of DNA), with no major difference for B, apH, or chimeric duplexes. As described elsewhere (19
), despite the different orientation of the adenine, the characteristic spine of hydration in the minor groove of B-DNA (56
) is also clear in the apH helix and in all the chimeras (see Fig. 2). Furthermore, the specific hydration pattern of apH helices in the major groove (17
19
) is found also here even for the smallest apH helical fragments (see Fig. 3 and compare with Fig. 5 in Cubero et al. (19
)). In summary, there is a strong memory of the intrinsic interaction properties of B and apH helices in the chimeras. Accordingly, we suggest that even small apH fragments inserted in large B-DNA duplexes will display recognition properties very close to those of an apH helix, thus opening the possibility to expand (for a common sequence) the possibilities for specific DNA-protein recognition in the cell.
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and
; see Eqs. 8 and 10) around 90% (see Table 5). Comparison of the nature of the essential movements for the 14- and 16-mer oligonucleotides requires some caution, because deformation modes might not be completely converged after 2-ns trajectories. With this caution in mind, we must notice that the results support the occurrence of similar similarity essential movements in B, apH, and chimeric duplexes (see data in Table 5 for the 16-mer duplexes). At this point, it is worth noting the similarity between normal (
) and Boltzmann's-weighted (
) relative similarity indexes, which indicates that not only the nature of the essential movements, but also their relative contribution to the structural variance, is retained in the different duplexes. Overall, the presence of junctions and apH pairs does not seem to induce major changes in the natural deformation modes of the duplex.
|
|
|
The presence of syn-adenosines destabilizes the apH helix (
0.7 kcal/mol x step; see Cubero et al. (19
) and Stolarski et al. (57
), but this is mostly compensated by hydrogen bonding, which is expected to be more stable in the Hoogsteen pairing than in the Watson-Crick scheme (19
,58
,59
). Thus, the analysis of all these trajectories confirms that on average the Hoogsteen H-bonds are around 1.2 ± 0.01 kcal/mol (see Table 7) more stable than the Watson-Crick ones, in good agreement with previous estimates (19
). The Watson-Crick or Hoogsteen hydrogen bonds are equally stable in the junction or in the middle of the fragments (data not shown), and accordingly, the hydrogen-bond energy associated to a given junction is just the average between those of Watson-Crick and Hoogsteen pairs. The stacking energy of (A·T)-(T·A) dimers is the same irrespective of whether the hydrogen bond (the "·" here) pattern is Watson-Crick or Hoogsteen (Table 7). On the contrary, the stacking (T·A)-(A·T) is on average 3.8 kcal/mol more stable if the two dimers are hydrogen-bonded following the Hoogsteen scheme (Table 7). Despite the low twist values (Table 4), the stacking in the junction is quite favorable. Thus, for the (A·T)-(T·A) dimers there is only a loss of 0.5 kcal/mol with respect to B and apH stackings, whereas for the (T·A)-(A·T) dimers there is a loss of stability (1.3 kcal/mol) relative to apH stacking, but a gain (2.5 kcal/mol) with regard to B stacking. In summary, the d (AT)n DNA seems so flexible that the distortions needed to accommodate a junction between two different types of helices do not introduce any major destabilization in the structure. As noted in Supplementary Material, the conclusions on stability derived here from 2- to 5-ns trajectories remain valid when tested in 10-ns trajectories, or when more physiological temperatures (310 K) are considered.
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| CONCLUSIONS |
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The fragments of B and apH helices in the chimera have a very strong memory of the structure, flexibility, and molecular interaction properties of the corresponding pure helices. Interestingly, such a memory does not depend on the length of the fragment, and even a very short apH fragment suffices to define local properties close to those of an apH helix.
B and apH helices possess similar effective energy. The B form is however entropically favored. The stability of the chimeras is very similar to that of the constituting helical fragments, without any dramatic lost of stability related to the presence of the junctions.
Overall, our simulations strongly suggest that, beside kinetic factors related to the anti-syn rotation of adenosine, the formation of short apH helices in the middle of long B-type duplexes might be possible if external factors (i.e., by interactions with proteins or drugs) reduce the flexibility of the duplex, thus compensating the entropic preference for the B form. This suggestion, in conjunction with the ability of small apH fragments to maintain a memory of their structural, dynamical, and reactive properties, support the possibility that apH fragments might play a greater than expected role in the control of gene expression.
| ACKNOWLEDGEMENTS |
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We thank Prof. J. Subirana for many helpful discussions. We are indebted to X.-J. Lu and W. Olson for a copy of X3DNA, and help in the use of the code for a nonstandard structure. We also thank D. Bashford for a copy of his MEAD program.
We acknowledge the Centre de Supercomputació de Catalunya (CESCA) and the Spanish Ministry of Science and Technology (SAF2002-4282 and BIO2003-06848), and the Fundación BBVA for financial support.
Submitted on January 14, 2005; accepted for publication October 20, 2005.
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