Reevaluation of stereoelectronic contributions to the conformational properties of the phosphodiester and N3'-phosphoramidate moieties of nucleic acids

Z-DNA as a Touchstone for Additive Empirical Force Fields and a Refinement of the Alpha/Gamma DNA Torsions for AMBER

Although current AMBER force fields are relatively accurate for canonical B-DNA, many noncanonical structures are still described incorrectly. As noncanonical motifs are attracting increasing attention due to the role they play in living organisms, further improvement is desirable. Here, we have chosen the Z-DNA molecule, which can be considered a touchstone of the universality of empirical force fields, since the noncanonical α and γ backbone conformations native to Z-DNA are also found in protein-DNA complexes, i-motif DNA, and other noncanonical DNAs. We show that spurious α/γ conformations occurring in simulations with current AMBER force fields, OL15 and bsc1, are largely due to inaccurate α/γ parametrization. Moreover, stabilization of native Z-DNA substates involving γ = trans conformations appears to be in conflict with the correct description of the canonical B-DNA structure. Because the balance of the native and spurious conformations is influenced by nonadditive effects, this is a difficult case for an additive dihedral energy scheme such as AMBER. We propose new α/γ parameters, denoted OL21, and show that they improve the stability of native α/γ Z-DNA substates while keeping the canonical DNA description virtually unchanged, thus representing a reasonable compromise within the additive force field framework. Although further extensive testing is needed, the new modification appears to be a promising step toward a more reliable description of noncanonical DNA motifs and provides the best performance for Z-DNA molecules among current AMBER force fields.

Anomeric effect, hyperconjugation and electrostatics: lessons from complexity in a classic stereoelectronic phenomenon

Understanding the interplay of multiple components (steric, electrostatic, stereoelectronic, dispersive, etc.) that define the overall energy, structure, and reactivity of organic molecules can be a daunting task. The task becomes even more difficult when multiple approaches based on different physical premises disagree in their analysis of a multicomponent molecular system. Herein, we will use a classic conformational "oddity", the anomeric effect, to discuss the value of identifying the key contributors to reactivity that can guide chemical predictions. After providing the background related to the relevant types of hyperconjugation and a brief historic outline of the origins of the anomeric effect, we outline variations of its patterns and provide illustrative examples for the role of the anomeric effect in structure, stability, and spectroscopic properties. We show that the complete hyperconjugative model remains superior in explaining the interplay between structure and reactivity. We will use recent controversies regarding the origin of the anomeric effect to start a deeper discussion relevant to any electronic effect. Why are such questions inherently controversial? How to describe a complex quantum system using a model that is "as simple as possible, but no simpler"? What is a fair test for such a model? Perhaps, instead of asking "who is right and who is wrong?" one should ask "why do we disagree?". Stereoelectronic thinking can reconcile quantum complexity with chemical intuition and build the conceptual bridge between structure and reactivity. Even when many factors contribute to the observed structural and conformational trends, electron delocalization is a dominating force when the electronic demand is high (i.e., bonds are breaking as molecules distort from their equilibrium geometries). In these situations, the role of orbital interactions increases to the extent where they can define reactivity. For example, negative hyperconjugation can unleash the "underutilized" stereoelectronic power of unshared electrons (i.e., the lone pairs) to stabilize a developing positive charge at an anomeric carbon. This analysis paves the way for the broader discussion of the omnipresent importance of negative hyperconjugation in oxygen-containing functional groups. From that point of view, the stereoelectronic component of the anomeric effect plays a unique role in guiding reaction design.

Determination of Electrostatic Parameters for a Polarizable Force Field Based on the Classical Drude Oscillator

A procedure to determine the electrostatic parameters has been developed for a polarizable empirical force field based on the classical Drude oscillator model. Atomic charges and polarizabilities for a given molecule of interest were derived from restrained fitting to quantum-mechanical electrostatic potentials (ESP) calculated at the B3LYP/ cc-pVDZ or B3LYP/aug-cc-pVDZ levels on grid points located on concentric Connolly surfaces. The determination of the atomic polarizabilities requires a series of perturbed ESP maps, each one representing the electronic response of the molecule in the presence of a background charge placed on Connolly surfaces primarily along chemical bonds and lone pairs. Reference values for the partial atomic charges were taken from the CHARMM27 additive all-atom force field, and those for the polarizabilities were based on adjusted Miller's ahp atomic polarizability values. The fitted values of atomic polarizabilities were scaled to reflect the reduced polarization expected for the condensed media and/or to correct for the systematic underestimation of experimental molecular polarizabilities by B3LYP calculations. Following correction of the polarizabilities, the atomic charges were adjusted to reproduce gas-phase dipole moments. The developed scheme has been tested on a set of small molecules representing functional moieties of nucleic acids. The derived electrostatic parameters have been successfully applied in a preliminary polarizable molecular dynamics simulation of a DNA octamer in a box of water with sodium counterions. Thus, this study confirms the feasibility of the use of a polarizable force field based on a classical Drude model for simulations of biomolecules in the condensed phase.

Nucleic acid reactivity: challenges for next-generation semiempirical quantum models

Semiempirical quantum models are routinely used to study mechanisms of RNA catalysis and phosphoryl transfer reactions using combined quantum mechanical (QM)/molecular mechanical methods. Herein, we provide a broad assessment of the performance of existing semiempirical quantum models to describe nucleic acid structure and reactivity to quantify their limitations and guide the development of next-generation quantum models with improved accuracy. Neglect of diatomic differential overlap and self-consistent density-functional tight-binding semiempirical models are evaluated against high-level QM benchmark calculations for seven biologically important datasets. The datasets include: proton affinities, polarizabilities, nucleobase dimer interactions, dimethyl phosphate anion, nucleoside sugar and glycosidic torsion conformations, and RNA phosphoryl transfer model reactions. As an additional baseline, comparisons are made with several commonly used density-functional models, including M062X and B3LYP (in some cases with dispersion corrections). The results show that, among the semiempirical models examined, the AM1/d-PhoT model is the most robust at predicting proton affinities. AM1/d-PhoT and DFTB3-3ob/OPhyd reproduce the MP2 potential energy surfaces of 6 associative RNA phosphoryl transfer model reactions reasonably well. Further, a recently developed linear-scaling "modified divide-and-conquer" model exhibits the most accurate results for binding energies of both hydrogen bonded and stacked nucleobase dimers. The semiempirical models considered here are shown to underestimate the isotropic polarizabilities of neutral molecules by approximately 30%. The semiempirical models also fail to adequately describe torsion profiles for the dimethyl phosphate anion, the nucleoside sugar ring puckers, and the rotations about the nucleoside glycosidic bond. The modeling of pentavalent phosphorus, particularly with thio substitutions often used experimentally as mechanistic probes, was problematic for all of the models considered. Analysis of the strengths and weakness of the models suggests that the creation of robust next-generation models should emphasize the improvement of relative conformational energies and barriers, and nonbonded interactions.

Site-selective dissociation processes of cationic ethanol conformers: the role of hyperconjugation

In present report, we explored hyperconjugation effects on the site- and bond-selective dissociation processes of cationic ethanol conformers by the use of theoretical methods (including configuration optimizations, natural bond orbital (NBO) analysis, and density of states (DOS) calculations, etc.) and the tunable synchrotron vacuum ultraviolet (SVUV) photoionization mass spectrometry. The dissociative mechanism of ethanol cations, in which hyperconjugative interactions and charge-transfer processes were involved, was proposed. The results reveal Cα-H and C-C bonds are selectively weakened, which arise as a result of the hyperconjugative interactions σCα-H → p in the trans-conformer and σC-C → p in gauche-conformer after being ionized. As a result, the selective bond cleavages would occur and different fragments were observed.

Ab initio molecular dynamics of Na⁺ and Mg²⁺ countercations at the backbone of RNA in water solution

The interactions between sodium or magnesium ions and phosphate groups of the RNA backbone represented as dinucleotide fragments in water solution have been studied using ab initio Born-Oppenheimer molecular dynamics. All systems have been simulated at 300 and 320 K. Sodium ions have mobility higher than that of the magnesium ions and readily change their position with respect to the phosphate groups, from directly bonded to completely solvated state, with a rough estimate of the lifetime of bonded Na(+) of about 20-30 ps. The coordination number of the sodium ions frequently changes in irregular intervals ranging from several femtoseconds to about 10 ps with the most frequently encountered coordination number five, followed by six. The magnesium ion is stable both as directly bonded to an oxygen atom from the phosphate group and completely solvated by water. In both states the Mg(2+) ion has exactly six oxygen atoms in the first coordination shell; moreover, during the whole simulation of more than 100 ps no exchange of ligand in the first coordination shells has been observed. Solvation of the terminal phosphate oxygen atoms by water molecules forming hydrogen bonds in different locations of the ions is also discussed. The stability of the system containing sodium ions essentially does not depend on the position of the ions with respect to the phosphate groups.

The DNA and RNA sugar-phosphate backbone emerges as the key player. An overview of quantum-chemical, structural biology and simulation studies

Knowledge of geometrical and physico-chemical properties of the sugar-phosphate backbone substantially contributes to the comprehension of the structural dynamics, function and evolution of nucleic acids. We provide a side by side overview of structural biology/bioinformatics, quantum chemical and molecular mechanical/simulation studies of the nucleic acids backbone. We highlight main features, advantages and limitations of these techniques, with a special emphasis given to their synergy. The present status of the research is then illustrated by selected examples which include classification of DNA and RNA backbone families, benchmark structure-energy quantum chemical calculations, parameterization of the dihedral space of simulation force fields, incorporation of arsenate into DNA, sugar-phosphate backbone self-cleavage in small RNA enzymes, and intricate geometries of the backbone in recurrent RNA building blocks. Although not apparent from the current literature showing limited overlaps between the QM, simulation and bioinformatics studies of the nucleic acids backbone, there in fact should be a major cooperative interaction between these three approaches in studies of the sugar-phosphate backbone.

An improved united atom force field for simulation of mixed lipid bilayers

We introduce a new force field (43A1-S3) for simulation of membranes by the Gromacs simulation package. Construction of the force fields is by standard methods of electronic structure computations for bond parameters and charge distribution and specific volumes and heats of vaporization for small-molecule components of the larger lipid molecules for van der Waals parameters. Some parameters from the earlier 43A1 force field are found to be correct in the context of these calculations, while others are modified. The validity of the force fields is demonstrated by correct replication of X-ray form factors and NMR order parameters over a wide range of membrane compositions in semi-isotropic NTP 1 atm simulations. 43-A1-S3 compares favorably with other force fields used in conjunction with the Gromacs simulation package with respect to the breadth of phenomena that it accurately reproduces.

Contribution of the intrinsic mechanical energy of the phosphodiester linkage to the relative stability of the A, BI, and BII forms of duplex DNA

Canonical forms of duplex DNA are known to sample well-defined regions of the alpha, beta, gamma, epsilon, and zeta dihedral angles that define the conformation of the phosphodiester linkage in the backbone of oligonucleotides. While extensive studies of base composition and base sequence dependent effects on the sampling of the A, B1, and BII canonical forms of duplex DNA have been presented, our understanding of the intrinsic contribution of the five dihedral degrees of freedom associated with the phosphodiester linkage to the conformational properties of duplex DNA is still limited. To better understand this contribution, ab initio quantum mechanical (QM) calculations were performed on a model compound representative of the phosphodiester backbone to systematically sample the energetics about the alpha, beta, gamma, epsilon, and zeta dihedral angles relevant to the conformational properties of duplex DNA. Low-energy regions of dihedral potential energy surfaces are shown to correlate with the regions of dihedral space sampled in experimental crystal structures of the canonical forms of DNA, validating the utility of the model compound and emphasizing the contribution of the intrinsic mechanical properties of the phosphodiester backbone to the conformational properties of duplex DNA. Those contributions include the relative stability of the A, BI, and BII conformations of duplex DNA, where the gas-phase energetics favor the BI form over the A and BII forms. In addition, subtle features of the potential energy surfaces mimic changes in the probability distributions of alpha, beta, gamma, epsilon, and zeta dihedral angles in A, BI, and BII forms of DNA as well as with conformations sampled in single-stranded DNA. These results show that the intrinsic mechanical properties of the phosphodiester backbone make a significant contribution to conformational properties of duplex DNA observed in the condensed phase and allow for the prediction that single-stranded DNA primarily samples folded conformations thereby possibly lowering the entropic barrier to the formation of duplex DNA.

Bonding analysis and stability on alternant B16N16 cage and its dimers

Bonding analysis is performed on alternant B(16)N(16) cage based on a combined study of DFT with NBO method. The main feature of such analysis is the separation of bonding structure into two components: sigma skeleton and pi bond system. Each component is further decomposed into contributions from various NBOs, thus we obtain the details of bonding interactions of every BN unit. Based on these results, relative stability of four covalent dimers of B(16)N(16) is predicted and this prediction is verified by DFT calculations. So the possibility of forecasting properties of oligomers just from analysis on monomer is highlighted in this way.

DNA bending induced by carbocyclic sugar analogs constrained to the north conformation

DNA bending caused by introduction of carbocyclic sugars constrained to the north conformation was studied, using explicit solvent molecular dynamic (MD) simulations. The native Drew-Dickerson (DD) dodecamer and its three modifications containing north carbocyclic sugars in the 7th (T7*), 8th (T8*) or both 7th and 8th (T7T8*) nucleotide positions were examined. Introduction of the carbocyclic sugar results in A-form conformations for the alpha, beta, chi, zeta, and sugar pucker backbone parameters in the modified nucleotides. Increased steric repulsion between the sugar and its parent base in the modified oligonucleotides impacts the roll and cup dinucleotide step parameters, increasing the bending of the oligomer axis. Increased buckling of the substituted nucleotides disrupts the usual stabilizing base stacking interactions. The level of overall bending depends on the number and position of carbocyclic sugars introduced in the DNA sequence. Single sugar substitutions are unable to induce substantial bending due to the neighboring unmodified nucleotides counterbalancing the distortion. Significant bending can, however, be induced by two consecutive north sugars (T7T8*), which is in agreement with experimental results. The modified oligomers populate a wide range of bend angles, indicating that they maintain flexibility in the bent state. The present results suggest that insertion of carbocyclic sugars into DNA or RNA duplexes can be used to engineer bending of the duplexes without impacting the electrostatic or chemical properties of the phosphodiester backbone, thereby serving as excellent tools for experimental elucidation of nucleic acid structure-function relationships.

Conserved patterns in backbone torsional changes allow for single base flipping from duplex DNA with minimal distortion of the double helix

Base flipping is a structural mechanism common to many DNA processing and repair enzymes. Changes in the local backbone torsions that occur during base flipping and the effect of environment on their behavior are of particular interest in understanding different base flipping mechanisms. In the present study, structures sampled during umbrella sampling molecular dynamics (MD) simulations of base flipping in aqueous and protein-bound environments, carried out with two different MD simulation strategies, are analyzed to find the most significant phosphodiester backbone distortions in the vicinity of the flipping base. Torsional sampling on the 5' side of the flipping base during flipping through the major groove shows similarities to the torsional sampling on the 3' side during flipping through the minor groove and vice versa. In differing environments, this behavior varies only marginally. These compensating torsional changes in the DNA backbone on 5' and 3' sides of the flipping base limit overall distortion of the DNA double helix during single base flipping. Rotameric intermediate states observed during base flipping are identified and postulated to be metastable states implicated in both large-scale structural changes and functional effects of chemical modifications in DNA.

Intrinsic conformational preferences of substituted cyclohexanes and tetrahydropyrans evaluated at the CCSD(T) complete basis set limit: implications for the anomeric effect

A series of MP2 and CCSD(T) computations have been carried out with correlation consistent basis sets as large as aug-cc-pV5Z to determine the intrinsic equatorial-axial conformational preference of CH(3)-, F-, OCH(3)-, and OH-substituted cyclohexane and tetrahydropyran rings. The high-accuracy relative electronic energies reported here shed new light on the intrinsic energetics of these cyclic prototypes for the anomeric effect. At the CCSD(T) complete basis set (CBS) limit, the energy of the equatorial conformation relative to the axial position (DeltaE (CBS)(CCSD(T))) is -1.75, -0.20, -0.21, and -0.56 kcal mol(-1) in methyl-, fluoro-, methoxy-, and hydroxycyclohexane, respectively, while DeltaE(CBS)(CCSD(T) is -2.83, +2.45, +1.27, and +0.86 kcal mol(-1) for 2-methyl-, 2-fluoro-, 2-methoxy-, and 2-hydroxytetrahydropyran, respectively. Note that the equatorial and axial conformers are nearly electronically isoenergetic in both fluoro- and methoxycyclohexane. For all eight cyclic species, a zero-point vibrational energy correction decreases Delta by a few tenths of a kilocalorie per mole. Relative energies obtained with popular methods and basis sets are unreliable, including Hartree-Fock theory, the B3LYP density functional, and the 6-31G and 6-311G families of split-valence basis sets. Even with the massive pentuple-zeta basis sets, the HF and B3LYP methods substantially overestimate the stability of the equatorial conformers (by as much as 0.99 and 0.73 kcal mol(-1), respectively, for 2-methoxytetrahydropyran). Only because of a consistent cancellation of errors do these popular approaches sometimes provide reasonable estimates of the anomeric effect.

{Zn3(Et2O)2[(EtO)PO2(C6H5NH)]6·2THF}: A Trinuclear Zinc Amidophosphate with an Hourglass Structure

The reaction of ZnMe2 and the N-substituted phosphoramidic monoester [Et2NH2][(EtO)PO2(C6H5NH)] produces the trinuclear zinc cluster Zn(3)(Et2O)2[(EtO)PO2(C6H5NH)]6.2THF, demonstrating that the P-N bond can survive under mild solvothermal reaction conditions.

A consistent potential energy parameter set for lipids: dipalmitoylphosphatidylcholine as a benchmark of the GROMOS96 45A3 force field

The performance of the GROMOS96 parameter set 45A3 developed for aliphatic alkanes is tested on a bilayer of dipalmitoylphosphatidylcholine (DPPC) in water in the liquid-crystalline L(alpha) phase. Variants of the force-field parameter set as well as different sets of simulation conditions or simulation parameter sets are evaluated. In the case of the force-field parameters, the van der Waals constants for the non-bonded interaction of the ester carbonyl carbon and the partial charges and charge group definition of the phosphatidylcholine head group are examined. On the methodological side, different cut-off distances for the non-bonded interactions, use of a reaction-field force due to long-range electrostatic interactions, the frequency of removal of the centre of mass motion and the strength of the coupling of the pressure of the system to the pressure bath are tested. The area per lipid, as a measure of structure, the order parameters of the chain carbons, as a measure of membrane fluidity, and the translational diffusion of the lipids in the plane of the bilayer are calculated and compared with experimental values. An optimal set of simulation parameters for which the GROMOS96 parameter set 45A3 yields a head group area, chain order parameters and a lateral diffusion coefficient in accordance with the experimental data is listed.

Free energy and structural pathways of base flipping in a DNA GCGC containing sequence

Structural distortions of DNA are essential for its biological function due to the genetic information of DNA not being physically accessible in the duplex state. Base flipping is one of the simplest structural distortions of DNA and may represent an initial event in strand separation required to access the genetic code. Flipping is also utilized by DNA-modifying and repair enzymes to access specific bases. It is typically thought that base flipping (or base-pair opening) occurs via the major groove whereas minor groove flipping is only possible when mediated by DNA-binding proteins. Here, umbrella sampling with a novel center-of-mass pseudodihedral reaction coordinate was used to calculate the individual potentials of mean force (PMF) for flipping of the Watson-Crick (WC) paired C and G bases in the CCATGCGCTGAC DNA dodecamer. The novel reaction coordinate allowed explicit investigation of the complete flipping process via both the minor and major groove pathways. The minor and major groove barriers to flipping are similar for C base flipping while the major groove barrier is slightly lower for G base flipping. Minor groove flipping requires distortion of the WC partner while the flipping base pulls away from its partner during major groove flipping. The flipped states are represented by relatively flat free energy surfaces, with a small, local minimum observed for the flipped G base. Conserved patterns of phosphodiester backbone dihedral distortions during flipping indicate their essential role in the flipping process. During flipping, the target base tracks along the respective grooves, leading to hydrogen-bonding interactions with neighboring base-pairs. Such hydrogen-bonding interactions with the neighboring sequence suggest a novel mechanism of sequence dependence in DNA dynamics.

Intrinsic conformational energetics associated with the glycosyl torsion in DNA: a quantum mechanical study

The glycosyl torsion (chi) in nucleic acids has long been recognized to be a major determinant of their conformational properties. chi torsional energetics were systematically mapped in deoxyribonucleosides using high-level quantum mechanical methods, for north and south sugar puckers and with gamma in the g(+) and trans conformations. In all cases, the syn conformation is found higher in energy than the anti. When gamma is changed from g(+) to trans, the anti orientation of the base is strongly destabilized, and the energy difference and barrier between anti and syn are significantly decreased. The barrier between anti and syn in deoxyribonucleosides is found to be less than 10 kcal/mol and tends to be lower with purines than with pyrimidines. With gamma = g(+)/chi = anti, a south sugar yields a significantly broader energy well than a north sugar with no energy barrier between chi values typical of A or B DNA. Contrary to the prevailing view, the syn orientation is not more stable with south puckers than with north puckers. The syn conformation is significantly more energetically accessible with guanine than with adenine in 5-nucleotides but not in nucleosides. Analysis of nucleic acid crystal structures shows that gamma = trans/chi = anti is a minor but not negligible conformation. Overall, chi appears to be a very malleable structural parameter with the experimental chi distributions reflecting, to a large extent, the associated intrinsic torsional energetics.

Re-examination of the intrinsic, dynamic and hydration properties of phosphoramidate DNA

Intrinsic energetic and solvation factors contributing to the unusual structural and biochemical properties of N3'-phosphoramidate DNA analogs have been re-examined using a combination of quantum mechanical and molecular dynamics methods. Evaluation of the impact of the N3'-H substitution was performed via comparison of N3'-phosphoramidate DNA starting from both A- and B-form structures, B-form DNA and A-form RNA. The N3'-H group is shown to be flexible, undergoing reversible inversion transitions associated with motion of the hydrogen atom attached to the N3' atom. The inversion process is correlated with both sugar pucker characteristics as well as other local backbone torsional dynamics, yielding increased dihedral flexibility over DNA. Solvation of N3'-phosphoramidate DNA is shown to be similar to RNA, consistent with thermodynamic data on the two species. A previously unobserved intrinsic conformational perturbation caused by the N5'-phosphoramidate substitution is identified and suggested to be linked to the differences in the properties of N3'- and N5'-phosphoramidate oligonucleotide analogs.