Torsional flexibility of B-DNA as revealed by conformational analysis.

The thermal fluctuations of a regular double helix belonging to the B-family were studied by means of atom-atomic potentials method. The winding angle fluctuation was found to be 2.4 degrees for poly(dA):poly(dT) and 3.0 degrees for poly(dG):poly(dC). The reasonable agreement of these estimations with those obtained experimentally reveals the essential role of the small-amplitude torsional vibrations of atoms in the mechanism of the double helix flexibility. The calculated equilibrium winding angle, tau 0, essentially depends on the degree of neutralization of phosphate groups, being about 35.5 degrees for the full neutralization. The deoxyribose pucker is closely related to the tau angle: while tau proceeds from 30 degrees to 45 degrees the pseudorotation phase angle, P, increases from 126 degrees to 164 degrees. Fluctuations of the angles TL and TW, which specify inclination of the bases to the helix axis, were evaluated to be 5 degrees-10 degrees. Possible correlation between conformational changes in the adjacent nucleotides is discussed.     

Sequence-dependent flexibility in promoter sequences

The non-neighbor interactions between base-pairs were taken into account to calculate the angular parameters (Omega, rho and tau) describing the orientation of successive base-pair planes and the translation parameters (D(y)) along the long axis of base-pair steps for 36 independent tetramers. A statistical mechanical model was proposed to predict the DNA flexibility that is mainly related to the thermal fluctuations at individual base-pair steps. The DNA flexibility can be described by the root-mean-square deviation of the end-to-end distance of DNA helical structure. The present model was then used to investigate the extreme flexible pattern in prokaryotic and eukaryotic promoter sequences. The results demonstrated several extreme flexible regions related to functionally important elements exist both in prokaryotic promoters and in eukaryotic promoters, DNA flexibility and AT content are highly correlated. The probabilities finding flexibility pattern in promoter sequences were also estimated statistically. The biological implications were discussed briefly.     

A statistical mechanical model for predicting B-DNA curvature and flexibility

A statistical mechanical model taking into account the symmetric twisting, tilting, sliding fluctuations and asymmetric rolling fluctuations has been proposed to predict the macroscopic curvature and flexibility of B-DNA. Based on the statistical data of structural parameters of double helix in nucleic acid database and the related theoretical analysis, the equilibrium angular parameters (Omega, rho and tau) describing the orientation of successive base-pair planes, the translation parameters (D(y)) along the long axis of neighboring base-pair step and the corresponding force constants are arranged for ten dimers appropriately. Under the assumption of independent angular parameters, independent base-pair steps and a simple energy function, we can calculate the macroscopic curvature and the flexibility of DNA sequences through the transformation matrix and the Boltzmann ensemble average. The predictions on curvature and flexibility of DNA have been compared with the corresponding experimental data. The agreement is remarkably good. It is demonstrated that the lowering of the temperature does increase the DNA curvature.     

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.     

Sequence-dependent DNA structure: tetranucleotide conformational maps

A database of X-ray crystal structures of double helical DNA oligomers has been used to analyse the role of the sugar-phosphate backbone in coupling the conformational properties of neighbouring dinucleotide steps. The base step parameters which are most strongly coupled to the backbone degrees of freedom are slide and shift, and these are the two dinucleotide step parameters which show strong correlations along a sequence: the value of slide follows the values in the neighbouring steps, whereas shift tends to alternate. This conformational coupling is mediated by the shared furanose rings at the step junctions: a change in the value of slide causes a change in the mean value of the same strand 3' and 5'-chi torsion angle, and a change in the mean value of the 3' and 5' sugar pseudo-rotation phase angle, P; a change in the value of shift causes a difference between the same strand 3' and 5'-chi in A-DNA and a difference between the 3' and 5'-P in B-DNA. We have used a database of tetranucleotide X-ray crystal structures to parameterise a simple model for the coupling of slide and shift. Using this junction model together with our dinucleotide step potential energy maps described previously, we can in principle calculate the structure of any DNA oligomer. The parameterisation indicates that the rotational step parameters are accurate to within 5 degrees, and the translational step parameters are accurate to within 0.5 A. The model has been used to study the potential energy surfaces of all possible tetranucleotide sequences, and the calculations agree well with the experimental data from X-ray crystal structures. Some dinucleotide steps are context independent (AA/TT, AT and TA), because the conformational properties of all possible neighbouring steps are compatible. When the conformational properties of the neighbours are not compatible, the behaviour of a step cannot be understood at the dinucleotide level. Thus the conformations of CG, GC and GG/CC are all strongly context dependent. The remaining mixed sequence steps show weakly context-dependent behaviour. The approach allows the calculation of the relative stability and flexibility of tetranucleotide sequences, and the results indicate why TATA is used as an origin of replication. Clear predictions are made about sequences which have not yet been characterised crystallographically. In particular, poly(CCA).poly(TGG) is predicted to have an unusual structure which lies between the C and D-DNA polymorphs.     

Sequence-dependent conformational differences of small RNAs revealed by native gel electrophoresis.

In this study, we use native polyacrylamide gel electrophoresis and one-dimensional NMR spectroscopy to analyze small RNA hairpins containing a UUCG tetraloop. The aggregation state of one RNA 16-mer (5'-CGGCUUCGGUCGACCA-3') in the presence of Mg(2+) was confirmed by laser light scattering. Although it is widely known in the RNA field that some RNAs tend to aggregate, especially when present at high concentrations, the sequence elements responsible for this effect are rarely identified. In this work, we show that Mg(2+)-induced aggregation of the 16-mer RNA hairpin is sensitive to the presence of the 3'-terminal base and a specific 2'-hydroxyl group. Our study highlights the fact that even small changes in a particular RNA sequence can increase its tendency to undergo Mg(2+)-dependent aggregation in an unpredictable manner. Our analysis also shows that native gel electrophoresis is a sensitive probe of RNA conformation with the capability to detect differences apparently caused by subtle base stacking effects at the ends of helices.     

Static and dynamic conformational properties of AT sequences in B-DNA.

A theoretical study of the optimal conformations of nucleic acid oligomers containing tracts of AT base pairs is presented. The oligomers are studied in isolation and complexed with netropsin, a minor groove binding ligand. The flexibility of the oligomers and of their complexes is calculated by adiabatic mapping with respect to the total winding angle. The results of this study show that in uncomplexed oligomers the dinucleotide junctions AA, AT and TA have very different structural parameters and different responses to winding stress. The TA junction is clearly the most flexible and is the principal site for accommodating the imposed overwinding. Complexation by netropsin leads to two important effects: firstly, the three junctions adopt more uniform structures, the largest changes again being observed for TA, secondly, the differences in flexibility as a function of sequence are strongly attenuated.     

Towards a molecular dynamics consensus view of B-DNA flexibility

We present a systematic study of B-DNA flexibility in aqueous solution using long-scale molecular dynamics simulations with the two more recent versions of nucleic acids force fields (CHARMM27 and parmbsc0) using four long duplexes designed to contain several copies of each individual base pair step. Our study highlights some differences between pambsc0 and CHARMM27 families of simulations, but also extensive agreement in the representation of DNA flexibility. We also performed additional simulations with the older AMBER force fields parm94 and parm99, corrected for non-canonical backbone flips. Taken together, the results allow us to draw for the first time a consensus molecular dynamics picture of B-DNA flexibility.     

Sequence-dependent DNA curvature and flexibility from scanning force microscopy images

This paper reports a study of the sequence-dependent DNA curvature and flexibility based on scanning force microscopy (SFM) images. We used a palindromic dimer of a 1878-bp pBR322 fragment and collected a large pool of SFM images. The curvature of each imaged chain was measured in modulus and direction. It was found that the ensemble curvature modulus does not allow the separation of static and dynamic contributions to the curvature, whereas the curvature, when its direction in the two dimensions is taken into account, permits the direct separation of the intrinsic curvature contributions static and dynamic contributions. The palindromic symmetry also acted as an internal gauge of the validity of the SFM images statistical analysis. DNA static curvature resulted in good agreement with the predicted sequence-dependent intrinsic curvature. Furthermore, DNA sequence-dependent flexibility was found to correlate with the occurrence of A.T-rich dinucleotide steps along the chain and, in general, with the normalized basepair stacking energy distribution.     

Intrinsic conformational flexibility of acetylcholinesterase

Proteins have been metaphorically described - due to the introduction and extraordinary advances in biomolecular dynamics and computational biophysics over the past decades - as "kicking and screaming" molecules [G. Weber, Adv. Protein Chem. 29 (1975) 1-83]. In fact, dynamic fluctuations in protein structural conformation have been known to play an important role in protein function. However, fundamental mechanisms by which protein fluctuations couple with catalytic function of particular enzymes remain poorly understood. To understand the dynamical properties of acetylcholinesterase (AChE) in rapid termination of cationic neurotransmitter, acetylcholine at neurosynaptic junctions, multiple molecular dynamics (MD) trajectories of AChE in the presence and absence of its inhibitors [J.M. Bui, J.A. McCammon, Proc. Natl. Acad. Sci. U.S.A. 103 (2006) 15451-15456; J.M. Bui, Z. Radic, P. Taylor, J.A. McCammon, Biophys. J. 90 (2006) 3280-3287; J.M. Bui, K. Tai, J.A. McCammon, J. Am. Chem. Soc. 126 (2004) 7198-7205; J.M. Bui, R.H. Henchman, J.A. McCammon, Biophys. J. 85 (2003) 2267-2272] have been conducted and correlated with its inhibitory mechanisms. The intrinsic flexibilities of AChE, particularly of the long omega loop, are important in facilitating the ligand's inhibition of the enzyme.     

Theoretical study of conformational flexibility of tuftsin in vacuum and in aqueous environment.

Conformational flexibility of tuftsin molecule is studied using all-atom based atom-atom potential and systematic search, simulated annealing molecular dynamics (SAMD) and molecular dynamics (MD) techniques. Latter was carried out for 650 pico seconds (ps) using AMBER 4.0 with explicit water in TIP3P model. Number of inter-atomic distances and torsional angles were monitored during SAMD and MD simulation. We found that tuftsin molecule, irrespective of any starting conformation, assumes highly folded structure with strong electrostatic interaction between Lys-2 NH3 and Arg-4 carboxylic group and weak hydrogen bond between Lys-2 CO and Arg-4 NH atoms. It had distorted but stable conformation close to inverse gamma turn.     

A new example of conformational flexibility of choline derivatives

Phenyl-4-carbamylcholine is a new example of different conformation in solution and in the solid state for C_α-C_β unsubstituted choline derivatives.     

A method for biomolecular structural recognition and docking allowing conformational flexibility.

In this work, we present an algorithm developed to handle biomolecular structural recognition problems, as part of an interdisciplinary research endeavor of the Computer Vision and Molecular Biology fields. A key problem in rational drug design and in biomolecular structural recognition is the generation of binding modes between two molecules, also known as molecular docking. Geometrical fitness is a necessary condition for molecular interaction. Hence, docking a ligand (e.g., a drug molecule or a protein molecule), to a protein receptor (e.g., enzyme), involves recognition of molecular surfaces. Conformational transitions by "hinge-bending" involves rotational movements of relatively rigid parts with respect to each other. The generation of docked binding modes between two associating molecules depends on their three dimensional structures (3-D) and their conformational flexibility. In comparison to the particular case of rigid-body docking, the computational difficulty grows considerably when taking into account the additional degrees of freedom intrinsic to the flexible molecular docking problem. Previous docking techniques have enabled hinge movements only within small ligands. Partial flexibility in the receptor molecule is enabled by a few techniques. Hinge-bending motions of protein receptors domains are not addressed by these methods, although these types of transitions are significant, e.g., in enzymes activity. Our approach allows hinge induced motions to exist in either the receptor or the ligand molecules of diverse sizes. We allow domains/subdomains/group of atoms movements in either of the associating molecules. We achieve this by adapting a technique developed in Computer Vision and Robotics for the efficient recognition of partially occluded articulated objects. These types of objects consist of rigid parts which are connected by rotary joints (hinges). Our method is based on an extension and generalization of the Hough transform and the Geometric Hashing paradigms for rigid object recognition. We show experimental results obtained by the successful application of the algorithm to cases of bound and unbound molecular complexes, yielding fast matching times. While the "correct" molecular conformations of the known complexes are obtained with small RMS distances, additional, predictive good-fitting binding modes are generated as well. We conclude by discussing the algorithm's implications and extensions, as well as its application to investigations of protein structures in Molecular Biology and recognition problems in Computer Vision.     

Binding of non-intercalating antibiotics to B-DNA: a theoretical study taking into account nucleic acid flexibility

A detailed theoretical study has been made for five antibiotics which all bind selectively to AT sequences in the minor groove of B-DNA: SN-18071, NSC-101327, distamycin-2, distamycin-3 and netropsin. The optimal complexes were found for systems in which the flexibility of DNA, as well as that of the antibiotics, was taken into account. Explicit, mobile counterions and a dielectric function modelling aqueous solution were also included. The binding geometries of the most strongly interacting antibiotics, distamycin-3 and netropsin, are compared in considerable detail and it is shown that notable differences exist between them. The results for netropsin are also discussed in the light of recent disagreements concerning its exact binding location within DNA.     

Disaccharide conformational flexibility. II. Molecular dynamics simulations of sucrose

Molecular dynamics simulations have been used to study the motions in vacuum of the disaccharide sucrose. Ensembles of trajectories were calculated for each of the five local minimum energy conformations identified in the adiabatic conformational energy mapping of this molecule. The model sucrose molecules were found to exhibit a variety of motions, although the global minimum energy conformation was found to be dynamically stable, and no transitions away from this structure were observed to occur spontaneously. In all but one of these vacuum trajectories, the intramolecular hydrogen bond between residues was maintained, in accord with recent nmr studies of this molecule in aqueous solution. Considerable flexibility of the furanoid ring was found in the trajectories. No "flips" to the opposite puckering for this ring were found in the simulations starting from the global minimum, although such a transition was observed for a trajectory initiated with one of the higher local minimum energy conformations. Overall, the observed structural fluctuations were consistent with the experimental picture of sucrose as a relatively rigid molecule.     

Local conformational changes induced in B-DNA by ethidium intercalation

Structural effects of binding the intercalating drug ethidium bromide (EtBr) to 160 base pair (bp) fragments of nucleosomal calf thymus DNA have been probed by the method of Raman difference spectroscopy. With the use of a near-infrared (NIR) laser source to excite the Raman spectrum at 752 nm, vibrational signatures of both the EtBr intercalant and DNA target have been identified in spectra of the drug-DNA complexes. Analysis of the results obtained on complexes consisting of 1 EtBr bound/10 bp leads to the following conclusions: (i) Raman markers diagnostic of DNA phosphodiester conformation are converted from the B type to the A type with EtBr binding, commensurate with the proportion of ethidium-bound nucleotides in the complex. (ii) Ethidium binding converts deoxynucleoside sugar puckers from the C2'-endo to the C3'-endo conformation, also consistent with binding stoichiometry. Both pyrimidine and purine deoxynucleoside sugar puckers are perturbed by the phenanthridinium ring intercalation. (iii) Phenanthridinium insertion between bases is accomplished with no apparent change in hypochromicities of purine or pyrimidine Raman markers, indicating that base-phenanthridinium interactions provide compensatory hypochromic effects. (iv) Novel Raman markers of helix unwinding have been identified and assigned primarily to methylene deformation modes of the deoxyribosyl C2'H(2) and C5'H(2) groups. The present study provides new insights into drug-DNA recognition in solution and demonstrates the feasibility of NIR-Raman spectroscopy for structural studies of highly chromophoric DNA complexes.     

Sequence dependence of DNA conformational flexibility

By using conformational free energy calculations, we have studied the sequence dependence of flexibility and its anisotropy along various conformational variables of DNA base pairs. The results show the AT base step to be very flexible along the twist coordinate. On the other hand, homonucleotide steps, GG(CC) and AA(TT), are among the most rigid sequences. For the roll motion that would correspond to a bend, the TA step is most flexible, while the GG(CC) step is least flexible. The flexibility of roll is quite anisotropic; the ratio of fluctuations toward the major and minor grooves is the largest for the GC step and the smallest for the AA(TT) and CG steps. Propeller twisting of base pairs is quite flexible, especially of A.T base pairs; propeller twist can reach 19 degrees by thermal fluctuation. We discuss the effect of electrostatic parameters, comparison with available experimental results, and biological relevance of these results.     

The relative flexibility of B-DNA and A-RNA duplexes: database analysis

An extensive analysis of structural databases is carried out to investigate the relative flexibility of B-DNA and A-RNA duplexes in crystal form. Our results show that the general anisotropic concept of flexibility is not very useful to compare the deformability of B-DNA and A-RNA duplexes, since the flexibility patterns of B-DNA and A-RNA are quite different. In other words, ‘flexibility’ is a dangerous word for describing macromolecules, unless it is clearly defined. A few soft essential movements explain most of the natural flexibility of A-RNA, whereas many are necessary for B-DNA. Essential movements occurring in naked B-DNAs are identical to those necessary to deform DNA in DNA–protein complexes, which suggest that evolution has designed DNA–protein complexes so that B-DNA is deformed according to its natural tendency. DNA is generally more flexible, but for some distortions A-RNA is easier to deform. Local stiffness constants obtained for naked B-DNAs and DNA complexes are very close, demonstrating that global distortions in DNA necessary for binding to proteins are the result of the addition of small concerted deformations at the base-pair level. Finally, it is worth noting that in general the picture of the relative deformability of A-RNA and DNA derived from database analysis agrees very well with that derived from state of the art molecular dynamics (MD) simulations.     

Conformational flexibility of B-DNA at 0.74 A resolution: d(CCAGTACTGG)(2)

The affinity and specificity of a ligand for its DNA site is a function of the conformational changes between the isolated and complexed states. Although the structures of a hydroxypyrrole-imidazole-pyrrole polyamide dimer with 5'-CCAGTACTGG-3' and the trp repressor recognizing the sequence 5'-GTACT-3' are known, the baseline conformation of the DNA site would contribute to our understanding of DNA recognition by these ligands. The 0.74 A resolution structure of a B-DNA double helix, 5'-CCAGTACTGG-3', has been determined by X-ray crystallography. Six of the nine phosphates, two of four bound calcium ions and networks of water molecules hydrating the oligonucleotide have alternate conformations. By contrast, nine of the ten bases have a single, unique conformation with hydrogen atoms visible in most cases. The polyamide molecules alter the geometry of the phosphodiester backbone, and the water molecules mediating contacts in the trp repressor/operator complex are conserved in the unliganded DNA. Furthermore, the multiple conformational states, ions and hydration revealed by this ultrahigh resolution structure of a B-form oligonucleotide are potentially general considerations for understanding DNA-binding affinity and specificity by ligands.