Molecular dynamic simulations of environment and sequence dependent DNA conformations: the development of the BMS nucleic acid force field and comparison with experimental results

Theoretical Insights into MutY Glycosylase DNA Repair Mechanism

Maintaining the integrity of the genome is fundamental to living organisms. To this end, nature developed several mechanisms to find and promptly repair DNA lesions. Among them, base excision repair (BER) enzymes evolved to efficiently carry out this task. Notably, the mechanisms allowing these proteins to search for, detect, and fix DNA damage on a biologically relevant time scale still remain partially unclear. By taking MutY, a BER enzyme implied in the repair of the 8-oxoguanine-adenine mismatches, as a model system, we shed some light on the repair mechanism through a theoretical-computational approach. First, we estimated the effect of the oxidation state of the MutY iron-sulfur cluster on the protein-DNA binding. Then, the redox thermodynamics of both the protein cluster and DNA nucleobases are calculated. Finally, the charge migration kinetics along the double strand bound to the enzyme has been evaluated. The rationalization of our results indicates that the search for DNA lesions is essentially dictated by the redox chemistry of the species involved, i.e., the iron-sulfur redox cofactor and the DNA bound to the enzyme.

PyMM: An Open-Source Python Program for QM/MM Simulations Based on the Perturbed Matrix Method

Quantum mechanical/molecular mechanics (QM/MM) methods are important tools in molecular modeling as they are able to couple an extended phase space sampling with an accurate description of the electronic properties of the system. Here, we describe a Python software package, called PyMM, which has been developed to apply a QM/MM approach, the perturbed matrix method, in a simple and efficient way. PyMM requires a classical atomic trajectory of the whole system and a set of unperturbed electronic properties of the ground and electronic excited states. The software output includes a set of the most common perturbed properties, such as the electronic excitation energies and the transitions dipole moments, as well as the eigenvectors describing the perturbed electronic states, which can be then used to estimate whatever electronic property. The software is composed of a simple and complete command-line interface, a set of internal input validation, and three main analyses focusing on (i) the perturbed eigenvector behavior, (ii) the calculation of the electronic absorption spectrum, and (iii) the estimation of the free energy differences along a reaction coordinate.

Modeling Charge Transfer Reactions by Hopping between Electronic Ground State Minima: Application to Hole Transfer between DNA Bases

In this paper, we extend the previously described general model for charge transfer reactions, introducing specific changes to treat the hopping between energy minima of the electronic ground state (i.e., transitions between the corresponding vibrational ground states). We applied the theoretical-computational model to the charge transfer reactions in DNA molecules which still represent a challenge for a rational full understanding of their mechanism. Results show that the presented model can provide a valid, relatively simple, approach to quantitatively study such reactions shedding light on several important aspects of the reaction mechanism.

Rationalizing Sequence and Conformational Effects on the Guanine Oxidation in Different DNA Conformations

The effect of the environment on the guanine redox potential is studied by means of a theoretical–computational approach. Our data, in agreement with previous experimental findings, clearly show that the presence of consecutive guanine bases in both single- and double-stranded DNA oligomers lowers their reduction potential. Such an effect is even more marked when a G-rich quadruplex is considered, where the oxidized form of guanine is particularly stabilized. To the best of our knowledge, this is the first computational study reporting on a quantitative estimate of the dependence of the guanine redox potential on sequence and conformational effects in complex DNA molecules, ranging from single-stranded DNA to G-quadruplex.

Energy Landscapes for Base-Flipping in a Model DNA Duplex

We explore the process of base-flipping for four central bases, adenine, guanine, cytosine, and thymine, in a deoxyribonucleic acid (DNA) duplex using the energy landscape perspective. NMR imino-proton exchange and fluorescence correlation spectroscopy studies have been used in previous experiments to obtain lifetimes for bases in paired and extrahelical states. However, the difference of almost 4 orders of magnitude in the base-flipping rates obtained by the two methods implies that they are exploring different pathways and possibly different open states. Our results support the previous suggestion that minor groove opening may be favored by distortions in the DNA backbone and reveal links between sequence effects and the direction of opening, i.e., whether the base flips toward the major or the minor groove side. In particular, base flipping along the minor groove pathway was found to align toward the 5' side of the backbone. We find that bases align toward the 3' side of the backbone when flipping along the major groove pathway. However, in some cases for cytosine and thymine, the base flipping along the major groove pathway also aligns toward the 5' side. The sequence effect may be caused by the polar interactions between the flipping-base and its neighboring bases on either of the strands. For guanine flipping toward the minor groove side, we find that the equilibrium constant for opening is large compared to flipping via the major groove. We find that the estimated rates of base opening, and hence the lifetimes of the closed state, obtained for thymine flipping through small and large angles along the major groove differ by 6 orders of magnitude, whereas for thymine flipping through small angles along the minor groove and large angles along the major groove, the rates differ by 3 orders of magnitude.

Theoretical Characterization of the Reduction Potentials of Nucleic Acids in Solution

Here, we present the theoretical-computational modeling of the oxidation properties of four DNA nucleosides and nucleotides and a set of dinucleotides in solutions. Our estimates of the vertical ionization energies and reduction potentials, close to the corresponding experimental data, show that an accurate calculation of the molecular electronic properties in solutions requires a proper treatment of the effect of the environment. In particular, we found that the effect of the environment is to stabilize the oxidized state of the nucleobases resulting in a remarkable reduction-up to 6.6 eV-of the energy with respect to the gas phase. Our estimates of the aqueous and gas-phase vertical ionization energies, in good agreement with photoelectron spectroscopy experiments, also show that the effect on the reduction potential of the phosphate group and of the additional nucleotide in dinucleotides is rather limited.

Multipolar Description of Atom-Atom Electrostatic Interaction Energies in Single/Double-Stranded DNAs

Molecular force field simulation is an effective method to explore the properties of DNA molecules in depth. Almost all current popular force fields calculate atom-atom electrostatic interaction energies for DNAs based on the atomic charge and dipole or quadrupole moments, without considering high-rank atomic multipole moments for more accurate electrostatics. Actually, the distribution of electrons around atomic nuclei is not spherically symmetric but is geometry dependent. In this work, a multipole expansion method that allows us to combine polarizability and anisotropy was applied. One single-stranded DNA and one double-stranded DNA were selected as pilot systems. Deoxynucleotides were cut out from pilot systems and capped by mimicking the original DNA environment. Atomic multipole moments were integrated instead of fixed-point charges to calculate atom-atom electrostatic energies to improve the accuracy of force fields for DNA simulations. Also, the applicability of modeling the behavior of both single-stranded and double-stranded DNAs was investigated. The calculation results indicated that the models can be transferred from pilot systems to test systems, which is of great significance for the development of future DNA force fields.

Solution structure of macromolecules using small angle neutron scattering and molecular simulations

An introductory account of using molecular simulations to deduce solution structure of macromolecules using small angle neutron scattering data is presented for biologists. The presence of a liquid solution provides mobility to the molecules, making it difficult to pin down their structure. Here a simple introduction to molecular dynamics and Monte Carlo techniques is followed by a recipe to use the output of the simulations along with the scattering data in order to infer the structure of macromolecules when they are placed in a liquid solution. Some practical issues to be watched for are also highlighted.

Polarizable Force Field for DNA Based on the Classical Drude Oscillator: II. Microsecond Molecular Dynamics Simulations of Duplex DNA

The structure and dynamics of DNA are governed by a sensitive balance between base stacking and pairing, hydration, and interactions with ions. Force-field models that include explicit representations of electronic polarization are capable of more accurately modeling the subtle details of these interactions versus commonly used additive force fields. In this work, we validate our recently refined polarizable force field for DNA based on the classical Drude oscillator model, in which electronic degrees of freedom are represented as negatively charged particles attached to their parent atoms via harmonic springs. The previous version of the force field, called Drude-2013, produced stable A- and B-DNA trajectories on the order of hundreds of nanoseconds, but deficiencies were identified that included weak base stacking ultimately leading to distortion of B-DNA duplexes and unstable Z-DNA. As a result of extensive refinement of base nonbonded terms and bonded parameters in the deoxyribofuranose sugar and phosphodiester backbone, we demonstrate that the new version of the Drude DNA force field is capable of simulating A- and B-forms of DNA on the microsecond time scale and the resulting conformational ensembles agree well with a broad set of experimental properties, including solution X-ray scattering profiles. In addition, simulations of Z-form duplex DNA in its crystal environment are stable on the order of 100 ns. The revised force field is to be called Drude-2017.

Designing synthetic RNA for delivery by nanoparticles

The rapid development of synthetic biology and nanobiotechnology has led to the construction of various synthetic RNA nanoparticles of different functionalities and potential applications. As they occur naturally, nucleic acids are an attractive construction material for biocompatible nanoscaffold and nanomachine design. In this review, we provide an overview of the types of RNA and nucleic acid's nanoparticle design, with the focus on relevant nanostructures utilized for gene-expression regulation in cellular models. Structural analysis and modeling is addressed along with the tools available for RNA structural prediction. The functionalization of RNA-based nanoparticles leading to prospective applications of such constructs in potential therapies is shown. The route from the nanoparticle design and modeling through synthesis and functionalization to cellular application is also described. For a better understanding of the fate of targeted RNA after delivery, an overview of RNA processing inside the cell is also provided.

On the mechanical analogue of DNA

The creation of mechanical analogues of biological systems is known as a useful instrument that helps to understand better the dynamical mechanisms of the functioning of living organisms. Mechanical analogues of biomolecules are usually constructed for imitation of their internal mobility, which is one of the most important properties of the molecules. Among the different types of internal motions, angular oscillations of nitrous bases are of special interest because they make a substantial contribution to the base pairs opening that in turn is an important element of the process of the DNA-protein recognition. In this paper, we investigate the possibility to construct a mechanical analogue for imitation of angular oscillations of nitrous bases in inhomogeneous DNA. It is shown that the analogue has the form of a mechanical chain of non-identical pendulums that oscillate in the gravitational field of the Earth and coupled by identical springs. The masses and lengths of pendulums, as well as the distances between neighboring pendulums and the rigidity of springs are calculated. To illustrate the approach, we present the result of construction of the mechanical analogue of the fragment of the sequence of bacteriophage T7D.

Assessing the Current State of Amber Force Field Modifications for DNA

The utility of molecular dynamics (MD) simulations to model biomolecular structure, dynamics, and interactions has witnessed enormous advances in recent years due to the availability of optimized MD software and access to significant computational power, including GPU multicore computing engines and other specialized hardware. This has led researchers to routinely extend conformational sampling times to the microsecond level and beyond. The extended sampling time has allowed the community not only to converge conformational ensembles through complete sampling but also to discover deficiencies and overcome problems with the force fields. Accuracy of the force fields is a key component, along with sampling, toward being able to generate accurate and stable structures of biopolymers. The Amber force field for nucleic acids has been used extensively since the 1990s, and multiple artifacts have been discovered, corrected, and reassessed by different research groups. We present a direct comparison of two of the most recent and state-of-the-art Amber force field modifications, bsc1 and OL15, that focus on accurate modeling of double-stranded DNA. After extensive MD simulations with five test cases and two different water models, we conclude that both modifications are a remarkable improvement over the previous bsc0 force field. Both force field modifications show better agreement when compared to experimental structures. To ensure convergence, the Drew–Dickerson dodecamer (DDD) system was simulated using 100 independent MD simulations, each extended to at least 10 μs, and the independent MD simulations were concatenated into a single 1 ms long trajectory for each combination of force field and water model. This is significantly beyond the time scale needed to converge the conformational ensemble of the internal portions of a DNA helix absent internal base pair opening. Considering all of the simulations discussed in the current work, the MD simulations performed to assess and validate the current force fields and water models aggregate over 14 ms of simulation time. The results suggest that both the bsc1 and OL15 force fields render average structures that deviate significantly less than 1 Å from the average experimental structures. This can be compared to similar but less exhaustive simulations with the CHARMM 36 force field that aggregate to the ∼90 μs time scale and also perform well but do not produce structures as close to the DDD NMR average structures (with root-mean-square deviations of 1.3 Å) as the newer Amber force fields. On the basis of these analyses, any future research involving double-stranded DNA simulations using the Amber force fields should employ the bsc1 or OL15 modification.

Exploring the Essential Dynamics of B-DNA

The essential dynamics of different normal and chemically modified DNA duplexes pertaining to the B family have been extensively explored from molecular dynamics simulations using powerful data mining techniques. Some of them, which are presented here for the first time, might become standard, powerful tools to characterize the dynamical behavior of complex biomolecular structures such as nucleic acids. Their potential impact is illustrated by examining the extended trajectories sampled for the set of DNA duplexes considered in this study, which allows us to discuss the degree of conservation of the natural flexibility pattern of the different DNAs, which in specific cases contain severe chemical modifications.

Base Flipping in a GCGC Containing DNA Dodecamer: A Comparative Study of the Performance of the Nucleic Acid Force Fields, CHARMM, AMBER, and BMS

The improving quality of empirical force field parameters along with other methodological improvements and ever increasing computational resources have lead to more reliable computations on biological macromolecules. In the case of oligonucleotides, three force fields, namely CHARMM27, AMBER4.1, and BMS, have been developed and are widely used by the simulation community. Testing of these force fields to date has primarily focused on their treatment of the canonical forms of DNA and RNA. However, many biological functions of oligonucleotides involve significant variation of their structures from the canonical forms. In the present work, the three force fields are evaluated via computation of potentials of mean force (PMF) of the base flipping process in a DNA dodecamer, 5'-GTCAGCGCATGG-3'. Results are compared with available experimental data on the equilibrium between the opened and closed (i.e. Watson-Crick base paired) state of the underlined C and its WC partner G. Quantitative analysis shows CHARMM to be in the best agreement with experiment, closely followed by AMBER with BMS in the poorest agreement. Various components contributing to the change in the free energy such as base pair interactions, stacking interactions, solvation effects, and intrinsic potential energy changes were evaluated and compared. The results indicate that while all three force fields reasonably represent the canonical structures, the balance of forces contributing to their structural and dynamic properties differ significantly.

Computational Approaches to Nucleic Acid Origami

Recent advances in experimental DNA origami have dramatically expanded the horizon of DNA nanotechnology. Complex 3D suprastructures have been designed and developed using DNA origami with applications in biomaterial science, nanomedicine, nanorobotics, and molecular computation. Ribonucleic acid (RNA) origami has recently been realized as a new approach. Similar to DNA, RNA molecules can be designed to form complex 3D structures through complementary base pairings. RNA origami structures are, however, more compact and more thermodynamically stable due to RNA's non-canonical base pairing and tertiary interactions. With all these advantages, the development of RNA origami lags behind DNA origami by a large gap. Furthermore, although computational methods have proven to be effective in designing DNA and RNA origami structures and in their evaluation, advances in computational nucleic acid origami is even more limited. In this paper, we review major milestones in experimental and computational DNA and RNA origami and present current challenges in these fields. We believe collaboration between experimental nanotechnologists and computer scientists are critical for advancing these new research paradigms.

Coupled binding-bending-folding: The complex conformational dynamics of protein-DNA binding studied by atomistic molecular dynamics simulations

BACKGROUND

Protein-DNA binding often involves dramatic conformational changes such as protein folding and DNA bending. While thermodynamic aspects of this behavior are understood, and its biological function is often known, the mechanism by which the conformational changes occur is generally unclear. By providing detailed structural and energetic data, molecular dynamics simulations have been helpful in elucidating and rationalizing protein-DNA binding.

SCOPE OF REVIEW

This review will summarize recent atomistic molecular dynamics simulations of the conformational dynamics of DNA and protein-DNA binding. A brief overview of recent developments in DNA force fields is given as well.

MAJOR CONCLUSIONS

Simulations have been crucial in rationalizing the intrinsic flexibility of DNA, and have been instrumental in identifying the sequence of binding events, the triggers for the conformational motion, and the mechanism of binding for a number of important DNA-binding proteins.

GENERAL SIGNIFICANCE

Molecular dynamics simulations are an important tool for understanding the complex binding behavior of DNA-binding proteins. With recent advances in force fields and rapid increases in simulation time scales, simulations will become even more important for future studies. This article is part of a Special Issue entitled Recent developments of molecular dynamics.

All-atom polarizable force field for DNA based on the classical Drude oscillator model

Presented is a first generation atomistic force field (FF) for DNA in which electronic polarization is modeled based on the classical Drude oscillator formalism. The DNA model is based on parameters for small molecules representative of nucleic acids, including alkanes, ethers, dimethylphosphate, and the nucleic acid bases and empirical adjustment of key dihedral parameters associated with the phosphodiester backbone, glycosidic linkages, and sugar moiety of DNA. Our optimization strategy is based on achieving a compromise between satisfying the properties of the underlying model compounds in the gas phase targeting quantum mechanical (QM) data and reproducing a number of experimental properties of DNA duplexes in the condensed phase. The resulting Drude FF yields stable DNA duplexes on the 100-ns time scale and satisfactorily reproduce (1) the equilibrium between A and B forms of DNA and (2) transitions between the BI and BII substates of B form DNA. Consistency with the gas phase QM data for the model compounds is significantly better for the Drude model as compared to the CHARMM36 additive FF, which is suggested to be due to the improved response of the model to changes in the environment associated with the explicit inclusion of polarizability. Analysis of dipole moments associated with the nucleic acid bases shows the Drude model to have significantly larger values than those present in CHARMM36, with the dipoles of individual bases undergoing significant variations during the MD simulations. Additionally, the dipole moment of water was observed to be perturbed in the grooves of DNA.

Balancing the interactions of ions, water, and DNA in the Drude polarizable force field

Recently we presented a first-generation all-atom Drude polarizable force field for DNA based on the classical Drude oscillator model, focusing on optimization of key dihedral angles followed by extensive validation of the force field parameters. Presently, we describe the procedure for balancing the electrostatic interactions between ions, water, and DNA as required for development of the Drude force field for DNA. The proper balance of these interactions is shown to impact DNA stability and subtler conformational properties, including the conformational equilibrium between the BI and BII states, and the A and B forms of DNA. The parametrization efforts were simultaneously guided by gas-phase quantum mechanics (QM) data on small model compounds and condensed-phase experimental data on the hydration and osmotic properties of biologically relevant ions and their solutions, as well as theoretical predictions for ionic distribution around DNA oligomer. In addition, fine-tuning of the internal base parameters was performed to obtain the final DNA model. Notably, the Drude model is shown to more accurately reproduce counterion condensation theory predictions of DNA charge neutralization by the condensed ions as compared to the CHARMM36 additive DNA force field, indicating an improved physical description of the forces dictating the ionic solvation of DNA due to the explicit treatment of electronic polarizability. In combination with the polarizable DNA force field, the availability of Drude polarizable parameters for proteins, lipids, and carbohydrates will allow for simulation studies of heterogeneous biological systems.

Methods to enable the design of bioactive small molecules targeting RNA

RNA is an immensely important target for small molecule therapeutics or chemical probes of function. However, methods that identify, annotate, and optimize RNA-small molecule interactions that could enable the design of compounds that modulate RNA function are in their infancies. This review describes recent approaches that have been developed to understand and optimize RNA motif-small molecule interactions, including structure-activity relationships through sequencing (StARTS), quantitative structure-activity relationships (QSAR), chemical similarity searching, structure-based design and docking, and molecular dynamics (MD) simulations. Case studies described include the design of small molecules targeting RNA expansions, the bacterial A-site, viral RNAs, and telomerase RNA. These approaches can be combined to afford a synergistic method to exploit the myriad of RNA targets in the transcriptome.

Partial base flipping is sufficient for strand slippage near DNA duplex termini

Strand slippage is a structural mechanism by which insertion-deletion (indel) mutations are introduced during replication by polymerases. Three-dimensional atomic-resolution structural pathways are still not known for the decades-old template slippage description. The dynamic nature of the process and the higher energy intermediates involved increase the difficulty of studying these processes experimentally. In the present study, restrained and unrestrained molecular dynamics simulations, carried out using multiple nucleic acid force fields, are used to demonstrate that partial base-flipping can be sufficient for strand slippage at DNA duplex termini. Such strand slippage can occur in either strand, i.e. near either the 3' or the 5' terminus of a DNA strand, which suggests that similar structural flipping mechanisms can cause both primer and template slippage. In the repetitive mutation hot-spot sequence studied, non-canonical base-pairing with exposed DNA groove atoms of a neighboring G:C base-pair stabilizes a partially flipped state of the cytosine. For its base-pair partner guanine, a similar partially flipped metastable intermediate was not detected, and the propensity for sustained slippage was also found to be lower. This illustrates that a relatively small metastable DNA structural distortion in polymerase active sites could allow single base insertion or deletion mutations to occur, and stringent DNA groove molecular recognition may be required to maintain intrinsic DNA polymerase fidelity. The implications of a close relationship between base-pair dissociation, base unstacking, and strand slippage are discussed in the context of sequence dependence of indel mutations.

Simulating DNA by molecular dynamics: aims, methods, and validation

The structure and dynamics of the B-DNA double helix involves subtle sequence-dependent effects which are decisive for its function, but difficult to characterize. These structural and dynamic effects can be addressed by simulations of DNA sequences in explicit solvent. Here, we present and discuss the state-of-art of B-DNA molecular dynamics simulations with the major force fields in use today. We explain why a critical analysis of the MD trajectories is required to assess their reliability, and estimate the value and limitations of these models. Overall, simulations of DNA bear great promise towards deciphering the structural and physical subtleties of this biopolymer, where much remains to be understood.

Molecular dynamics study of the role of the spine of hydration in DNA A-tracts in determining nucleosome occupancy

A-tracts in DNA are generally associated with reduced nucleosome occupancy relative to other sequences, such that the longer the A-tract, the less likely that nucleosomes are found. In this paper, we use molecular dynamics methods to study the structural properties of A-tracts, and in particular the role that the spine of hydration in A-tracts plays in allowing DNA to distort to the highly bent structure needed to form nucleosomes. This study includes a careful assessment of the ability of the Amber (parmbsc0), CHARMM27, and BMS force fields to describe these structural waters for the AAATTT sequence (here capped with CGC and GCG), including comparisons with X-ray results. All three force fields show a spine of hydration, but BMS and Amber show better correlation with measured properties, such as in narrowing of the minor groove width associated with the A-tract. We have used Amber to study the spine properties for several 6 and 14 base-pair A-tracts (all capped with CGC and GCG). These calculations show that the structural waters are tightly bound for "pure" A-tracts that allow for A-water-T links, and for AT steps that allow for a T-water-T link, but other sequences disfavor structural water, especially those that lead to A-water-A, G-water-G, and C-water-A structures. In addition, we show that pure A-tracts favor roll values close to the Watson-Crick value for linear DNA, while A-tract sequences containing embedded T's, C's, or G's that are less favorable to structural water are more flexible. This implies the essential role of the spine of hydration in disfavoring nucleosome formation.

Theoretical study on steric effects of DNA phosphorothioation: B-helical destabilization in Rp-phosphorothioated DNA

Phosphorothioation, with sulfur replacing a nonbridging oxygen of phosphate, has surfaced in bacterial DNA electrophoresis. To understand structural characteristics of the thio-substituted DNA, we have investigated the correlation between the relative energy of phosphate/phosphorothioate linkage and the backbone torsions. The relative energies (R.E.) computed by the quantum mechanical method, the PBE1PBE(CPCM, solvent=water)//PBE1PBE/6-31+G(2df) level of theory, were used to construct energy-scoring functions against backbone torsion variables, resulting in the squared correlation coefficients r(2) of 0.90-0.95. Then, the DNA energy alteration by phosphorothioation is estimated with the relative energy difference (ΔR.E.) between phosphate and phosphorothioate of the phosphate linkages in the DNA crystallographic database (NDB). As a result, Rp-phosphorothioation shifts the relative energy of B-helical structures by 2.7 ± 3.4 kcal/mol, destabilizing about 95% linkages, while Sp-phosphorothioation by -1.4 ± 2.4 kcal/mol, stabilizing over 84% linkages in the data sets. The B-helical destabilization is likely caused by the steric effect between the sulfur atom of Rp-phosphorothioate and the neighboring C-H groups of deoxyribose on the groove wall in B-helix. The unfavorable interaction may be magnified by the increasing rigidness of P-O-involving backbone torsions α and ζ upon the nonbridging phosphorothioations. Since B-helix is the most prevalent DNA double-helical structure and Rp-phosphorothioation is the exclusive configuration in bacteria thio-DNA found to date, the observed stereospecificity-destabilization correlation may reflect a structure-function relationship of biological DNA-phosphorothiation.

Communication: Quantum polarized fluctuating charge model: a practical method to include ligand polarizability in biomolecular simulations

We present a simple and practical method to include ligand electronic polarization in molecular dynamics (MD) simulation of biomolecular systems. The method involves periodically spawning quantum mechanical (QM) electrostatic potential (ESP) calculations on an extra set of computer processors using molecular coordinate snapshots from a running parallel MD simulation. The QM ESPs are evaluated for the small-molecule ligand in the presence of the electric field induced by the protein, solvent, and ion charges within the MD snapshot. Partial charges on ligand atom centers are fit through the multi-conformer restrained electrostatic potential (RESP) fit method on several successive ESPs. The RESP method was selected since it produces charges consistent with the AMBER/GAFF force-field used in the simulations. The updated charges are introduced back into the running simulation when the next snapshot is saved. The result is a simulation whose ligand partial charges continuously respond in real-time to the short-term mean electrostatic field of the evolving environment without incurring additional wall-clock time. We show that (1) by incorporating the cost of polarization back into the potential energy of the MD simulation, the algorithm conserves energy when run in the microcanonical ensemble and (2) the mean solvation free energies for 15 neutral amino acid side chains calculated with the quantum polarized fluctuating charge method and thermodynamic integration agree better with experiment relative to the Amber fixed charge force-field.

Optimization of the CHARMM additive force field for DNA: Improved treatment of the BI/BII conformational equilibrium

The B-form of DNA can populate two different backbone conformations: BI and BII, defined by the difference between the torsion angles ε and ζ (BI = ε-ζ < 0 and BII = ε-ζ > 0). BI is the most populated state, but the population of the BII state, which is sequence dependent, is significant and accumulating evidence shows that BII affects the overall structure of DNA, and thus influences protein-DNA recognition. This work presents a reparametrization of the CHARMM27 additive nucleic acid force field to increase the sampling of the BII form in MD simulations of DNA. In addition, minor modifications of sugar puckering were introduced to facilitate sampling of the A form of DNA under the appropriate environmental conditions. Parameter optimization was guided by quantum mechanical data on model compounds, followed by calculations on several DNA duplexes in the condensed phase. The selected optimized parameters were then validated against a number of DNA duplexes, with the most extensive tests performed on the EcoRI dodecamer, including comparative calculations using the Amber Parm99bsc0 force field. The new CHARMM model better reproduces experimentally observed sampling of the BII conformation, including sampling as a function of sequence. In addition, the model reproduces the A form of the 1ZF1 duplex in 75 % ethanol, and yields a stable Z-DNA conformation of duplex (GTACGTAC) in its crystal environment. The resulting model, in combination with a recent reoptimization of the CHARMM27 force field for RNA, will be referred to as CHARMM36.

Evaluation of DNA Force Fields in Implicit Solvation

DNA structural deformations and dynamics are crucial to its interactions in the cell. Theoretical simulations are essential tools to explore the structure, dynamics, and thermodynamics of biomolecules in a systematic way. Molecular mechanics force fields for DNA have benefited from constant improvements during the last decades. Several studies have evaluated and compared available force fields when the solvent is modeled by explicit molecules. On the other hand, few systematic studies have assessed the quality of duplex DNA models when implicit solvation is employed. The interest of an implicit modeling of the solvent consists in the important gain in the simulation performance and conformational sampling speed. In this study, respective influences of the force field and the implicit solvation model choice on DNA simulation quality are evaluated. To this end, extensive implicit solvent duplex DNA simulations are performed, attempting to reach both conformational and sequence diversity convergence. Structural parameters are extracted from simulations and statistically compared to available experimental and explicit solvation simulation data. Our results quantitatively expose the respective strengths and weaknesses of the different DNA force fields and implicit solvation models studied. This work can lead to the suggestion of improvements to current DNA theoretical models.

Refinement of the Cornell et al. Nucleic Acids Force Field Based on Reference Quantum Chemical Calculations of Glycosidic Torsion Profiles

We report a reparameterization of the glycosidic torsion χ of the Cornell et al. AMBER force field for RNA, χ(OL). The parameters remove destabilization of the anti region found in the ff99 force field and thus prevent formation of spurious ladder-like structural distortions in RNA simulations. They also improve the description of the syn region and the syn-anti balance as well as enhance MD simulations of various RNA structures. Although χ(OL) can be combined with both ff99 and ff99bsc0, we recommend the latter. We do not recommend using χ(OL) for B-DNA because it does not improve upon ff99bsc0 for canonical structures. However, it might be useful in simulations of DNA molecules containing syn nucleotides. Our parametrization is based on high-level QM calculations and differs from conventional parametrization approaches in that it incorporates some previously neglected solvation-related effects (which appear to be essential for obtaining correct anti/high-anti balance). Our χ(OL) force field is compared with several previous glycosidic torsion parametrizations.

RNA stability under different combinations of amber force fields and solvation models

The proper matching of force field and solvent is critical to obtain correct result in molecular dynamics simulation of bio-molecules. This problem has been intensively investigated for protein but not for RNA yet. In this paper, we use standard molecular dynamics and replica exchange molecular dynamics to take a series of tests on the RNA stability under different combinations of Amber force field parameters (ff98, ff99 and ff99bsc0) and the general Born implicit solvent models (igb1, igb2 and igb5). It is found that only ff98 and ff99bsc0 with igb1 can keep the native conformations of RNA hairpin and duplex. Our results suggest that ff98 plus igb1 may be reasonable choice for molecular dynamics simulation of RNA dynamics.

Molecular dynamics of DNA: comparison of force fields and terminal nucleotide definitions

Despite DNA being a very important target for several proteins and drugs, molecular dynamics simulations with nucleic acids still encompass many challenges, such as the reliability of the chosen force field. In this paper, we carried out molecular dynamics simulations of the Dickerson-Drew dodecamer comparing GROMOS 53A6 and AMBER 03 force fields. While the AMBER force field presents specific topologies for the 5' and 3' terminal nucleotides, the GROMOS force field considers all nucleotides in the same way. To investigate the effects of the terminal nucleotide definitions, both force fields were modified to be applied in the two possible ways: with or without specific terminal nucleotide topologies. The analysis of global stability (rmsd, number of base pairs and hydrogen bonds) showed that both systems simulated with AMBER were stable, while the system simulated with the original GROMOS topologies was very unstable after 5 ns. When specific terminal topologies were included for GROMOS force field, DNA denaturation was delayed until 15 ns, but not avoided. The alpha/gamma transitions also displayed a strong dependence on the force field, but not on the terminal nucleotide definitions: AMBER simulations mainly explored configurations corresponding to the global minimum, while GROMOS simulations exhibited, very early in the simulations, an extensive sampling of local minima that may facilitate transitions to A-DNA isoform. The epsilon/zeta sampling was dependent both on the force field and on the terminal nucleotide definitions: while the AMBER simulations displayed well-defined B-I --> B-II transitions, the GROMOS force field clearly favored the B-I conformation. Also, the system simulated with the original GROMOS topologies displayed uncoupled epsilon/zeta transitions, leading to noncanonical conformations, but this was reverted when the new terminal nucleotide topologies were applied. Finally, the GROMOS force field leads to strong geometrical deformations on the DNA (overestimated groove widths and roll and strongly underestimated twist and slide), which restrict the use of GROMOS force field in long time scale DNA simulations unless a further reparametrization is made.

Development of CHARMM polarizable force field for nucleic acid bases based on the classical Drude oscillator model

A polarizable force field for nucleic acid bases based on the classical Drude oscillator model is presented. Parameter optimization was performed to reproduce crystallographic geometries, crystal unit cell parameters, heats of sublimation, vibrational frequencies and assignments, dipole moments, molecular polarizabilities and quantum mechanical base-base and base-water interaction energies. The training and validation data included crystals of unsubstituted and alkyl-substituted adenine, guanine, cytosine, uracil, and thymine bases, hydrated crystals, and hydrogen bonded base pairs. Across all compounds, the RMSD in the calculated heats of sublimation is 4.1%. This equates to an improvement of more than 2.5 kcal/mol in accuracy compared to the nonpolarizable CHARMM27 force field. However, the level of agreement with experimental molecular volume decreased from 1.7% to 2.1% upon moving from the nonpolarizable to the polarizable model. The representation of dipole moments is significantly improved with the Drude polarizable force field. Unlike in additive force fields, there is no requirement for the gas-phase dipole moments to be overestimated, illustrating the ability of the Drude polarizable force field to treat accurately differently dielectric environments and indicating the improvements in the electrostatic model. Validation of the model was performed on the basis of the calculation of the gas-phase binding enthalpies of base pairs obtained via potential of mean force calculations; the additive and polarizable models both performed satisfactorily with average differences of 0.2 and 0.9 kcal/mol, respectively, and rms differences of 1.3 and 1.7 kcal/mol, respectively. Overall, considering the number of significant improvements versus the additive CHARMM force field, the incorporation of explicit polarizability into the force field for nucleic acid bases represents an additional step toward accurate computational modeling of biological systems.

Coarse-grained model of nucleic acid bases

Atomistic simulations of nucleic acids are prohibitively expensive and, consequently, reduced models of these compounds are of great interest in the field. In this work, we propose a physics-based coarse-grained model of nucleic-acid bases in which each base is represented by several (3-5) interaction centers. van der Waals interactions are modeled by Lennard-Jones spheres with a 12-6 potential energy function. The charge distribution is modeled by a set of electric dipole moments located at the centers of the Lennard-Jones spheres. The method for computing the Lennard-Jones parameters, electric dipole moments (their magnitude and orientation) and positions of the interaction centers is described. Several models with different numbers of interaction centers were tested. The model with three-center cytosine, four-center guanine, four-center thymine, and five-center adenine satisfactorily reproduces the canonical Watson-Crick hydrogen bonding and stacking interaction energies of the all-atom AMBER model. The computation time with the coarse-grained model is reduced seven times compared with that of the all-atom model.

CHARMM: the biomolecular simulation program

CHARMM (Chemistry at HARvard Molecular Mechanics) is a highly versatile and widely used molecular simulation program. It has been developed over the last three decades with a primary focus on molecules of biological interest, including proteins, peptides, lipids, nucleic acids, carbohydrates, and small molecule ligands, as they occur in solution, crystals, and membrane environments. For the study of such systems, the program provides a large suite of computational tools that include numerous conformational and path sampling methods, free energy estimators, molecular minimization, dynamics, and analysis techniques, and model-building capabilities. The CHARMM program is applicable to problems involving a much broader class of many-particle systems. Calculations with CHARMM can be performed using a number of different energy functions and models, from mixed quantum mechanical-molecular mechanical force fields, to all-atom classical potential energy functions with explicit solvent and various boundary conditions, to implicit solvent and membrane models. The program has been ported to numerous platforms in both serial and parallel architectures. This article provides an overview of the program as it exists today with an emphasis on developments since the publication of the original CHARMM article in 1983.

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.

Flexibility of Short-Strand RNA in Aqueous Solution as Revealed by Molecular Dynamics Simulation: Are A-RNA and A´-RNA Distinct Conformational Structures?

We use molecular dynamics simulations to compare the conformational structure and dynamics of a 21-base pair RNA sequence initially constructed according to the canonical A-RNA and A′-RNA forms in the presence of counterions and explicit water. Our study aims to add a dynamical perspective to the solid-state structural information that has been derived from X-ray data for these two characteristic forms of RNA. Analysis of the three main structural descriptors commonly used to differentiate between the two forms of RNA – namely major groove width, inclination and the number of base pairs in a helical twist – over a 30 ns simulation period reveals a flexible structure in aqueous solution with fluctuations in the values of these structural parameters encompassing the range between the two crystal forms and more. This provides evidence to suggest that the identification of distinct A-RNA and A′-RNA structures, while relevant in the crystalline form, may not be generally relevant in the context of RNA in the aqueous phase. The apparent structural flexibility observed in our simulations is likely to bear ramifications for the interactions of RNA with biological molecules (e.g. proteins) and non-biological molecules (e.g. non-viral gene delivery vectors).

Force field parameters for rotation around chi torsion axis in nucleic acids

To raise the accuracy of the force field for nucleic acids, several parameters were elaborated, focusing on the rotation around chi torsion axis. The reliability of molecular dynamics (MD) simulation was significantly increased by improving the torsion parameters at C8--N9--C1'--X (X = H1', C2', O4') in A, G and those at C6--N1--C1'--X in C, T, and U. In this work, we constructed small models representing the chemical structure of A, G, C, T, and U, and estimated energy profile for chi-axis rotation by executing numerous quantum mechanical (QM) calculations. The parameters were derived by discrete Fourier transformation of the calculated QM data. A comparison in energy profile between molecular mechanical (MM) calculation and QM one shows that our presently derived parameters well reproduce the energy surface of QM calculation for all the above torsion terms. Furthermore, our parameters show a good performance in MD simulations of some nucleic acids. Hence, the present refinement of parameters will enable us to perform more accurate simulations for various types of nucleic acids.

Molecular modeling of nucleic acid structure: setup and analysis

The last in a set of units by these authors, this unit addresses some important remaining questions about molecular modeling of nucleic acids. It describes how to choose an appropriate molecular mechanics force field; how to set up and equilibrate the system for accurate simulation of a nucleic acid in an explicit solvent by molecular dynamics or Monte Carlo simulation; and how to analyze molecular dynamics trajectories.

Toward a full characterization of nucleic acid components in aqueous solution: simulations of nucleosides

The eight nucleoside constituents of nucleic acids were simulated for 50 ns in explicit water with molecular dynamics. This provides equilibrium populations of the torsional degrees of freedom, their kinetics of interconversion, their couplings, and how they are influenced by water. This is important, given that a full and quantitative characterization of the nucleosides in aqueous solution by experimental means has been elusive, despite immense efforts in that direction. It is with the anti/syn equilibrium that the simulations are most complementary to experiment, by accessing directly the influence of the sugar type, sugar pucker, and base on the anti/syn populations. The glycosidic torsion distributions in the anti conformation are strongly affected by water and depart from the corresponding X-ray modal values and the associated energy minima in vacuo. Water also preferentially stabilizes some sugar conformations, showing that potential energies in vacuo are not sufficient to understand the nucleosides. Deoxythymidine (but not other pyrimidines) significantly populates the syn orientation. Guanine favors the syn orientation more than adenine. The ribose favors the syn orientation significantly more than the deoxyribose. The NORTH pucker coexists with the syn conformers. A hydrogen bond is frequently formed between the 5'-OH group and the syn bases, despite competition by water. The rate of the anti/syn transitions with purines is on the nanosecond time scale, confirming a long held assumption underpinning the interpretation of ultrasonic relaxation studies. Therefore, our knowledge of the structure and dynamics of nucleosides in solvent is only limited by the accuracy of the potential used to simulate them, and it is shown that such simulations provide a distinct and unique test of nucleic acid force fields. This confirmed that the widely distributed CHARMM27 force field is, overall, well-balanced with a particularly good representation of the ribose. Specific improvements, however, are suggested for the deoxyribose and torsion gamma.

Refinement of the AMBER force field for nucleic acids: improving the description of alpha/gamma conformers

We present here the parmbsc0 force field, a refinement of the AMBER parm99 force field, where emphasis has been made on the correct representation of the alpha/gamma concerted rotation in nucleic acids (NAs). The modified force field corrects overpopulations of the alpha/gamma = (g+,t) backbone that were seen in long (more than 10 ns) simulations with previous AMBER parameter sets (parm94-99). The force field has been derived by fitting to high-level quantum mechanical data and verified by comparison with very high-level quantum mechanical calculations and by a very extensive comparison between simulations and experimental data. The set of validation simulations includes two of the longest trajectories published to date for the DNA duplex (200 ns each) and the largest variety of NA structures studied to date (15 different NA families and 97 individual structures). The total simulation time used to validate the force field includes near 1 mus of state-of-the-art molecular dynamics simulations in aqueous solution.

Computer Simulation of the Ionic Atmosphere around Z-DNA

We describe a coarse-grained model for Z-DNA that mimics the DNA shape with a relatively small number of repulsive interaction sites. In addition, negative charges are placed at the phosphate positions. The ionic atmosphere around this grooved Z-DNA model is then investigated with Monte Carlo simulation. Cylindrically averaged concentration profiles as well as the spatial distribution of ions have been calculated. The results are compared to those for other DNA models differing in the repulsive core. This allows the examination of the effect of the DNA shape in the ionic distribution. It is seen that the penetrability of the ions to the DNA groove plays an important role in the ionic distribution. The results are also compared with those reported for B-DNA. In both conformers the ions are structured in alternating layers of positive and negative charge. In Z-DNA the layers are more or less concentric to the molecular axis. Besides, no coions enter into the single groove of this conformer. On the contrary, the alternating layers of B-DNA are also structured along the axial coordinate with some coions penetrating into the major groove. In both cases we have found five preferred locations of the counterions and two for the coions. The concentration of counterions reaches its absolute maximum at the narrow Z-DNA groove and at the minor groove of B-DNA, the value of the maximum being higher in the Z conformer.

Prediction of atomic structure from sequence for double helical DNA oligomers

DNA can adopt different conformations depending on the base sequence, solvent, electrolyte composition and concentration, pH, temperature, and interaction with proteins. Here we present a model for calculating the three-dimensional atomic structure of double-stranded DNA oligomers. A theoretical energy function is used for calculating the interactions within the base steps and an empirical backbone function is used to restrict the conformational space accessible to the bases and to account for the conformational coupling of neighboring steps in a sequence. Conformational searching on large structures or a large number of structures is possible, because each base step can be described by just two primary degrees of freedom (slide and shift). A genetic algorithm is used to search for low-energy structures in slide-shift space, and this allows very rapid optimization of DNA oligomers. The other base step parameters have been previously optimized for all possible slide-shift sequence combinations, and a heuristic algorithm is used to add the atomic details of the backbone conformation in the final step of the calculation. The structures obtained by this method are very similar to the corresponding X-ray crystal structures observed experimentally. The average RMSD is 2.24 Angstroms for a set of 20 oligomer structures. For 15 of these sequences, the X-ray crystal structure is the global energy minimum. The other 5 are bistable sequences that have B-form global energy minima but crystallize as A-DNA.