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 Role of Bond Functions in Describing Intermolecular Electron Correlation for Van der Waals Dimers: A Study of (CH4)2 and Ne2

We present a study of the intermolecular interactions in van der Waals complexes of methane and neon dimers within the framework of the CCSD method. This approach was implemented and applied to calculate and examine the behavior of the contracted two-particle reduced density matrix (2-RDM). It was demonstrated that the region near the minimum of the two-particle density matrix correlation part, corresponding to the primary bulk of the Coulomb hole contribution, exerts a significant influence on the dispersion interaction energetics of the studied systems. As a result, the bond functions approach was applied to improve the convergence performance for the intermolecular correlation energy results with respect to the size of the atomic basis. For this, substantial acceleration was achieved by introducing an auxiliary basis of bond functions centered on the minima of the 2-RDM. For both methane and neon dimers, this general conclusion was confirmed with a series of CCSD calculations for the 2-RDM and the correlation energies.

Comparison of the United- and All-Atom Representations of (Halo)alkanes Based on Two Condensed-Phase Force Fields Optimized against the Same Experimental Data Set

The level of accuracy that can be achieved by a force field is influenced by choices made in the interaction-function representation and in the relevant simulation parameters. These choices, referred to here as functional-form variants (FFVs), include for example the model resolution, the charge-derivation procedure, the van der Waals combination rules, the cutoff distance, and the treatment of the long-range interactions. Ideally, assessing the effect of a given FFV on the intrinsic accuracy of the force-field representation requires that only the specific FFV is changed and that this change is performed at an optimal level of parametrization, a requirement that may prove extremely challenging to achieve in practice. Here, we present a first attempt at such a comparison for one specific FFV, namely the choice of a united-atom (UA) versus an all-atom (AA) resolution in a force field for saturated acyclic (halo)alkanes. Two force-field versions (UA vs AA) are optimized in an automated way using the CombiFF approach against 961 experimental values for the pure-liquid densities ρ_liq and vaporization enthalpies ΔH_vap of 591 compounds. For the AA force field, the torsional and third-neighbor Lennard-Jones parameters are also refined based on quantum-mechanical rotational-energy profiles. The comparison between the UA and AA resolutions is also extended to properties that have not been included as parameterization targets, namely the surface-tension coefficient γ, the isothermal compressibility κ_T, the isobaric thermal-expansion coefficient α_P, the isobaric heat capacity c_P, the static relative dielectric permittivity ϵ, the self-diffusion coefficient D, the shear viscosity η, the hydration free energy ΔG_wat, and the free energy of solvation ΔG_che in cyclohexane. For the target properties ρ_liq and ΔH_vap, the UA and AA resolutions reach very similar levels of accuracy after optimization. For the nine other properties, the AA representation leads to more accurate results in terms of η; comparably accurate results in terms of γ, κ_T, α_P, ϵ, D, and ΔG_che; and less accurate results in terms of c_P and ΔG_wat. This work also represents a first step toward the calibration of a GROMOS-compatible force field at the AA resolution.

Markov state models elucidate the stability of DNA influenced by the chiral 5S-Tg base

The static and dynamic structures of DNA duplexes affected by 5S-Tg (Tg, Thymine glycol) epimers were studied using MD simulations and Markov State Models (MSMs) analysis. The results show that the 5S,6S-Tg base caused little perturbation to the helix, and the base-flipping barrier was determined to be 4.4 kcal mol-1 through the use of enhanced sampling meta-eABF calculations, comparable to 5.4 kcal mol-1 of the corresponding thymine flipping. Two conformations with the different hydrogen bond structures between 5S,6R-Tg and A19 were identified in several independent MD trajectories. The 5S,6R-Tg:O6HO6•••N1:A19 hydrogen bond is present in the high-energy conformation displaying a clear helical distortion, and near barrier-free Tg base flipping. The low-energy conformation always maintains Watson-Crick base pairing between 5S,6R-Tg and A19, and 5S-Tg base flipping is accompanied by a small barrier of ca. 2.0 KBT (T = 298 K). The same conformations are observed in the MSMs analysis. Moreover, the transition path and metastable structures of the damaged base flipping are for the first time verified through MSMs analysis. The data clearly show that the epimers have completely different influence on the stability of the DNA duplex, thus implying different enzymatic mechanisms for DNA repair.

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.

Sulfur-substitution-induced base flipping in the DNA duplex

Base flipping is widely observed in a number of important biological processes. The genetic codes deposited inside the DNA duplex become accessible to external agents upon base flipping. The sulfur substitution of guanine leads to thioguanine, which alters the thermodynamic stability of the GC base pairs and the GT mismatches. Experimental studies conclude that the sulfur substitution decreases the lifetime of the GC base pair. In this work, under three AMBER force fields for nucleotide systems, we firstly performed equilibrium and nonequilibrium free energy simulations to investigate the variation of the thermodynamic profiles in base flipping upon sulfur substitution. It is found that the bsc0 modification, the bsc1 modification and the OL15 modification of AMBER force fields are able to qualitatively describe the sulfur-substitution dependent behavior of the thermodynamics. However, only the two last-generation AMBER force fields are able to provide quantitatively correct predictions. The second computational study on the sulfur substitutions focused on the relative stability of the S6G-C base pair and the S6G-T mismatch. Two conflicting experimental observations were reported by the same authors. One suggested that the S6G-C base pair was more stable, while the other concludes that the S6G-T mismatch was more stable. We answered this question by constructing the free energy profiles along the base flipping pathway computationally.

Determination of Base-Flipping Free-Energy Landscapes from Nonequilibrium Stratification

Correct calculation of the variation of free energy upon base flipping is crucial in understanding the dynamics of DNA systems. The free-energy landscape along the flipping pathway gives the thermodynamic stability and the flexibility of base-paired states. Although numerous free-energy simulations are performed in the base flipping cases, no theoretically rigorous nonequilibrium techniques are devised and employed to investigate the thermodynamics of base flipping. In the current work, we report a general nonequilibrium stratification scheme for the efficient calculation of the free-energy landscape of base flipping in DNA duplex. We carefully monitor the convergence behavior of the equilibrium sampling based free-energy simulation and the nonequilibrium stratification and determine the empirical length of time blocks required for converged sampling. Comparison between the performances of the equilibrium umbrella sampling and the nonequilibrium stratification is given. The results show that nonequilibrium free-energy simulation achieves similar accuracy and efficiency compared with the equilibrium enhanced sampling technique in the base flipping cases. We further test a convergence criterion we previously proposed and it comes out that the convergence determined by this criterion agrees with those given by the time-invariant behavior of PMF and the nonlinear dependence of standard deviation on the sample size.

Changes in Microenvironment Modulate the B- to A-DNA Transition

B- to A-DNA transition is known to be sensitive to the macroscopic properties of the solution, such as salt and ethanol concentrations. Microenvironmental effects on DNA conformational transition have been broadly studied. Providing an intuitive picture of how DNA responds to environmental changes is, however, still needed. Analyzing the chemical equilibrium of B-to-A DNA transition at critical concentrations, employing explicit-solvent simulations, is envisioned to help understand such microenvironmental effects. In the present study, free-energy calculations characterizing the B- to A-DNA transition and the distribution of cations were carried out in solvents with different ethanol concentrations. With the addition of ethanol, the most stable structure of DNA changes from the B- to A-form, in agreement with previous experimental observation. In 60% ethanol, a chemical equilibrium is found, showing reversible transition between B- and A-DNA. Analysis of the microenvironment around DNA suggests that with the increase of ethanol concentration, the cations exhibit a significant tendency to move toward the backbone, and mobility of water molecules around the major groove and backbone decreases gradually, leading eventually to a B-to-A transition. The present results provide a free-energy view of DNA microenvironment and of the role of cation motion in the conformational transition.

Free Energy Coupling between DNA Bending and Base Flipping

Free energy simulations are presented to probe the energetic coupling between DNA bending and the flipping of a central thymine in double stranded DNA 13mers. The energetics are shown to depend on the neighboring base pairs, and upstream C or T or downstream C tended to make flipping more costly. Flipping to the major groove side was generally preferred. Bending aids flipping, by pushing the system up in free energy, but for small and intermediate bending angles the two were uncorrelated. At higher bending angles, bending and flipping became correlated, and bending primed the system for base flipping toward the major groove. Flipping of the 6-4 pyrimidine-pyrimidone and pyrimidine dimer photoproducts is shown to be more facile than for undamaged DNA. For the damages, major groove flipping was preferred, and DNA bending was much facilitated in the 6-4 pyrimidine-pyrimidone damaged system. Aspects of the calculations were verified by structural analyses of protein-DNA complexes with flipped bases.

An Empirical Polarizable Force Field Based on the Classical Drude Oscillator Model: Development History and Recent Applications

Molecular mechanics force fields that explicitly account for induced polarization represent the next generation of physical models for molecular dynamics simulations. Several methods exist for modeling induced polarization, and here we review the classical Drude oscillator model, in which electronic degrees of freedom are modeled by charged particles attached to the nuclei of their core atoms by harmonic springs. We describe the latest developments in Drude force field parametrization and application, primarily in the last 15 years. Emphasis is placed on the Drude-2013 polarizable force field for proteins, DNA, lipids, and carbohydrates. We discuss its parametrization protocol, development history, and recent simulations of biologically interesting systems, highlighting specific studies in which induced polarization plays a critical role in reproducing experimental observables and understanding physical behavior. As the Drude oscillator model is computationally tractable and available in a wide range of simulation packages, it is anticipated that use of these more complex physical models will lead to new and important discoveries of the physical forces driving a range of chemical and biological phenomena.

Free energy landscape and transition pathways from Watson-Crick to Hoogsteen base pairing in free duplex DNA

Houghton (HG) base pairing plays a central role in the DNA binding of proteins and small ligands. Probing detailed transition mechanism from Watson–Crick (WC) to HG base pair (bp) formation in duplex DNAs is of fundamental importance in terms of revealing intrinsic functions of double helical DNAs beyond their sequence determined functions. We investigated a free energy landscape of a free B-DNA with an adenosine–thymine (A–T) rich sequence to probe its conformational transition pathways from WC to HG base pairing. The free energy landscape was computed with a state-of-art two-dimensional umbrella molecular dynamics simulation at the all-atom level. The present simulation showed that in an isolated duplex DNA, the spontaneous transition from WC to HG bp takes place via multiple pathways. Notably, base flipping into the major and minor grooves was found to play an important role in forming these multiple transition pathways. This finding suggests that naked B-DNA under normal conditions has an inherent ability to form HG bps via spontaneous base opening events.

Base flip in DNA studied by molecular dynamics simulationsof differently-oxidized forms of methyl-Cytosine

Distortions in the DNA sequence, such as damage or mispairs, are specifically recognized and processed by DNA repair enzymes. Many repair proteins and, in particular, glycosylases flip the target base out of the DNA helix into the enzyme’s active site. Our molecular dynamics simulations of DNA with intact and damaged (oxidized) methyl-cytosine show that the probability of being flipped is similar for damaged and intact methyl-cytosine. However, the accessibility of the different 5-methyl groups allows direct discrimination of the oxidized forms. Hydrogen-bonded patterns that vary between methyl-cytosine forms carrying a carbonyl oxygen atom are likely to be detected by the repair enzymes and may thus help target site recognition.

Induced Polarization Influences the Fundamental Forces in DNA Base Flipping

Base flipping in DNA is an important process involved in genomic repair and epigenetic control of gene expression. The driving forces for these processes are not fully understood, especially in the context of the underlying dynamics of the DNA and solvent effects. We studied double-stranded DNA oligomers that have been previously characterized by imino proton exchange NMR using both additive and polarizable force fields. Our results highlight the importance of induced polarization on the base flipping process, yielding near-quantitative agreement with experimental measurements of the equilibrium between the base-paired and flipped states. Further, these simulations allow us to quantify for the first time the energetic implications of polarization on the flipping pathway. Free energy barriers to base flipping are reduced by changes in dipole moments of both the flipped bases that favor solvation of the bases in the open state and water molecules adjacent to the flipping base.

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.

Hidden Conformation Events in DNA Base Extrusions: A Generalized Ensemble Path Optimization and Equilibrium Simulation Study

DNA base extrusion is a crucial component of many biomolecular processes. Elucidating how bases are selectively extruded from the interiors of double-strand DNAs is pivotal to accurately understanding and efficiently sampling this general type of conformational transitions. In this work, the on-the-path random walk (OTPRW) method, which is the first generalized ensemble sampling scheme designed for finite-temperature-string path optimizations, was improved and applied to obtain the minimum free energy path (MFEP) and the free energy profile of a classical B-DNA major-groove base extrusion pathway. Along the MFEP, an intermediate state and the corresponding transition state were located and characterized. The MFEP result suggests that a base-plane-elongation event rather than the commonly focused base-flipping event is dominant in the transition state formation portion of the pathway; and the energetic penalty at the transition state is mainly introduced by the stretching of the Watson-Crick base pair. Moreover to facilitate the essential base-plane-elongation dynamics, the surrounding environment of the flipped base needs to be intimately involved. Further taking the advantage of the extended-dynamics nature of the OTPRW Hamiltonian, an equilibrium generalized ensemble simulation was performed along the optimized path; and based on the collected samples, several base-flipping (opening) angle collective variables were evaluated. In consistence with the MFEP result, the collective variable analysis result reveals that none of these commonly employed flipping (opening) angles alone can adequately represent the base extrusion pathway, especially in the pre-transition-state portion. As further revealed by the collective variable analysis, the base-pairing partner of the extrusion target undergoes a series of in-plane rotations to facilitate the base-plane-elongation dynamics. A base-plane rotation angle is identified to be a possible reaction coordinate to represent these in-plane rotations. Notably, these in-plane rotation motions may play a pivotal role in determining the base extrusion selectivity.

Free energy profiles of base flipping in intercalative polycyclic aromatic hydrocarbon-damaged DNA duplexes: energetic and structural relationships to nucleotide excision repair susceptibility

The crystal structure of Rad4/Rad23, the yeast homolog of the human nucleotide excision repair (NER) lesion recognition factor XPC-RAD23B ( Min , J. H. and Pavletich , N. P. ( 2007 ) Nature 449 , 570 - 575 ) reveals that the lesion-partner base is flipped out of the helix and binds to amino acids of the protein. This suggests the hypothesis that the flipping of this partner base must overcome a free energy barrier, which constitutes one element contributing to changes in the thermodynamic properties induced by the DNA damage and sensed by the recognition protein. We explored this hypothesis by computing complete flipping free energy profiles for two lesions derived from the procarcinogenic polycyclic aromatic hydrocarbons (PAHs), dibenzo[a,l]pyrene (DB[a,l]P) and benzo[a]pyrene (B[a]P), R-trans-anti-DB[a,l]P-N(6)-dA (R-DB[a,l]P-dA) and R-trans-anti-B[a]P-N(6)-dA (R-B[a]P-dA), and the corresponding unmodified duplex. The DB[a,l]P and B[a]P adducts differ in number and organization of their aromatic rings. We integrate these results with prior profiles for the R-trans-anti-DB[a,l]P-dG adduct ( Zheng , H. et al. ( 2010 ) Chem. Res. Toxicol. 23 , 1868 - 1870 ). All adopt conformational themes involving intercalation of the PAH aromatic ring system into the DNA duplex; however, R-DB[a,l]P-dA and R-B[a]P-dA intercalate from the major groove, while R-DB[a,l]P-dG intercalates from the minor groove. These structural differences produce different computed van der Waals stacking interaction energies between the flipping partner base with the lesion aromatic ring system and adjacent bases; we find that the better the stacking, the higher the relative flipping free energy barrier and hence lower flipping probability. The better relative NER susceptibilities correlate with greater ease of flipping in these three differently intercalated lesions. In addition to partner base flipping, the Rad4/Rad23 crystal structure shows that a protein-β-hairpin, BHD3, intrudes from the major groove side between the DNA strands at the lesion site. We present a molecular modeling study for the R-DB[a,l]P-dG lesion in Rad4/Rad23 showing BHD3 β-hairpin intrusion with lesion eviction, and we hypothesize that lesion steric effects play a role in the recognition of intercalated adducts.

The effect of a G:T mispair on the dynamics of DNA

Distortions in the DNA sequence such as damages or mispairs are specifically recognized and processed by DNA repair enzymes. A particular challenge for the enzymatic specificity is the recognition of a wrongly-placed native nucleotide such as thymine in T:G mispairs. An important step of substrate binding which is observed in many repair proteins is the flipping of the target base out of the DNA helix into the enzyme's active site. In this work we investigate how much the intrinsic dynamics of mispaired DNA is changed compared to canonical DNA. Our molecular dynamics simulations of DNA with and without T:G mispairs show significant differences in the conformation of paired and mispaired DNA. The wobble pair T:G shows local distortions such as twist, shear and stretch which deviate from canonical B form values. Moreover, the T:G mispair is found to be kinetically less stable, exhibiting two states with respect to base opening: a closed state comparable to the canonical base pairs, and a more open state, indicating a proneness for base flip. In addition, we observe that the thymine base in a T:G mispair is significantly more probable to be flipped than thymine in a T:A pair or cytosine in a C:G pair. Such local deformations and in particular the existence of a second, more-open state can be speculated to help the target-site recognition by repair enzymes.

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.

Base flipping free energy profiles for damaged and undamaged DNA

Lesion-induced thermodynamic destabilization is believed to facilitate β-hairpin intrusion by the human XPC/hHR23B nucleotide excision repair (NER) recognition factor, accompanied by partner-base flipping, as suggested by the crystal structure of the yeast orthologue (Min, J. H., and Pavletich, N. P. (2007) Nature 449, 570-575). To investigate this proposed mechanism, we employed the umbrella sampling method to compute partner base flipping free energies for the repair susceptible 14R (+)-trans-anti-DB[a,l]P-N(2)-dG modified duplex 11-mer, derived from the fjord region polycyclic aromatic hydrocarbon dibenzo[a,l]pyrene, and for the undamaged duplex. Our flipping free energy profiles show that the adduct has a lower flipping barrier by ∼7.7 kcal/mol, consistent with its thermally destabilizing impact on the damaged DNA duplex and its susceptibility to NER.

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.

Recent Developments and Applications of the CHARMM force fields

Empirical force fields commonly used to describe the condensed phase properties of complex systems such as biological macromolecules are continuously being updated. Improvements in quantum mechanical (QM) methods used to generate target data, availability of new experimental target data, incorporation of new classes of compounds and new theoretical developments (eg. polarizable methods) make force-field development a dynamic domain of research. Accordingly, a number of improvements and extensions of the CHARMM force fields have occurred over the years. The objective of the present review is to provide an up-to-date overview of the CHARMM force fields. A limited presentation on the historical aspects of force fields will be given, including underlying methodologies and principles, along with a brief description of the strategies used for parameter development. This is followed by information on the CHARMM additive and polarizable force fields, including examples of recent applications of those force fields.

An Improved Reaction Coordinate for Nucleic Acid Base Flipping Studies

Base flipping is a common strategy utilized by many enzymes to gain access to the functional groups of nucleic acid bases in duplex DNA which are otherwise protected by the DNA backbone and hydrogen bonding with their partner bases. Several X-ray crystallography studies have revealed flipped conformations of nucleotides bound to enzymes. However, little is known about the base-flipping process itself, even less about the role of the enzymes. Computational studies have used umbrella sampling to elicit the free energy profile of the base-flipping process using a pseudodihedral angle to represent the reaction coordinate. In this study, we have used an unrestrained trajectory in which a flipped base spontaneously reinserted into the helix in order to evaluate and improve the previously defined pseudodihedral angle. Our modified pseudodihedral angles use a new atom selection to improve the numerical stability of the restraints and also provide better correlation to the extent of flipping observed in simulations. Furthermore, on the basis of the comparison of potential of mean force (PMF) generated using different reaction coordinates, we observed that the shape of a flipping PMF profile is strongly dependent on the definition of the reaction coordinate, even for the same data set.

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.

Characterizing structural transitions using localized free energy landscape analysis

BACKGROUND

Structural changes in molecules are frequently observed during biological processes like replication, transcription and translation. These structural changes can usually be traced to specific distortions in the backbones of the macromolecules involved. Quantitative energetic characterization of such distortions can greatly advance the atomic-level understanding of the dynamic character of these biological processes.

METHODOLOGY/PRINCIPAL FINDINGS

Molecular dynamics simulations combined with a variation of the Weighted Histogram Analysis Method for potential of mean force determination are applied to characterize localized structural changes for the test case of cytosine (underlined) base flipping in a GTCAGCGCATGG DNA duplex. Free energy landscapes for backbone torsion and sugar pucker degrees of freedom in the DNA are used to understand their behavior in response to the base flipping perturbation. By simplifying the base flipping structural change into a two-state model, a free energy difference of upto 14 kcal/mol can be attributed to the flipped state relative to the stacked Watson-Crick base paired state. This two-state classification allows precise evaluation of the effect of base flipping on local backbone degrees of freedom.

CONCLUSIONS/SIGNIFICANCE

The calculated free energy landscapes of individual backbone and sugar degrees of freedom expectedly show the greatest change in the vicinity of the flipping base itself, but specific delocalized effects can be discerned upto four nucleotide positions away in both 5' and 3' directions. Free energy landscape analysis thus provides a quantitative method to pinpoint the determinants of structural change on the atomic scale and also delineate the extent of propagation of the perturbation along the molecule. In addition to nucleic acids, this methodology is anticipated to be useful for studying conformational changes in all macromolecules, including carbohydrates, lipids, and proteins.

Molecular dynamics simulations of Factor Xa: insight into conformational transition of its binding subsites

Protein flexibility and conformational diversity is well known to be a key characteristic of the function of many proteins. Human blood coagulation proteins have multiple substrates, and various protein-protein interactions are required for the smooth functioning of the coagulation cascade to maintain blood hemostasis. To address how a protein may cope with multiple interactions with its structurally diverse substrates and the accompanied structural changes that may drive these changes, we studied human Factor X. We employed 20 ns of molecular dynamics (MD) and steered molecular dynamics (SMD) simulations on two different conformational forms of Factor X, open and closed, and observed an interchangeable conformational transition from one to another. This work also demonstrates the roles of various aromatic residues involved in aromatic-aromatic interactions, which make this dynamic transition possible.

Recent advances in the study of nucleic acid flexibility by molecular dynamics

The recent use of molecular dynamics (MD) simulations to study flexibility of nucleic acids has been reviewed from an analysis of the publications appearing in the past two years (from 2005 till date). Despite the existence of some unsolved problems in the methodologies, these years have been witness to major advances in the field. Based on a critical review of the most recent contributions, excitement exists on the expected evolution of the field in the next years.

Base flipping of the thymine dimer in duplex DNA

Exposure of two adjacent thymines in DNA to UV light of 260-320 nm can result in the formation of the cis,syn-cyclobutane pyrimidine dimer (CPD). The structure of DNA containing an intrahelical CPD lesion has been previously studied experimentally and computationally. However, the structure of the extrahelical, flipped-out, CPD lesion, which has been shown to be the structure that binds to the CPD repair enzyme, DNA photolyase, has yet to be reported. In this work the structure of both the flipped-in and the flipped-out CPD lesions in duplex DNA is reported. These structures were calculated using 8 ns molecular dynamics (MD) simulations. These structures are then used to define the starting and ending points for the base-flipping process for the CPD lesion. Using a complex, two-dimensional pseudodihedral coordinate, the potential of mean force (PMF) for the base-flipping process was calculcated using novel methodology. The free energy of the flipped-out CPD is roughly 6.5 kcal/mol higher than that of the flipped-in state, indicating that the barrier to flipping out is much lower for CPD than for undamaged DNA. This may indicate that the flipped-out CPD lesion may be recognized by its repair enzyme, DNA photolyase, whereas previous studies of other damaged, as well as nondamaged, bases indicate that they are recognized by enzymes in the intrahelical, flipped-in state.

A molecular dynamics study of slow base flipping in DNA using conformational flooding

Individual DNA bases are known to be able to flip out of the helical stack, providing enzymes with access to the genetic information otherwise hidden inside the helix. Consequently, base flipping is a necessary first step to many more complex biological processes such as DNA transcription or replication. Much remains unknown about this elementary step, despite a wealth of experimental and theoretical studies. From the theoretical point of view, the involved timescale of milliseconds or longer requires the use of enhanced sampling techniques. In contrast to previous theoretical studies employing umbrella sampling along a predefined flipping coordinate, this study attempts to induce flipping without prior knowledge of the pathway, using information from a molecular dynamics simulation of a B-DNA fragment and the conformational flooding method. The relevance to base flipping of the principal components of the simulation is assayed, and a combination of modes optimally related to the flipping of the base through either helical groove is derived for each of the two bases of the central guanine-cytosine basepair. By applying an artificial flooding potential along these collective coordinates, the flipping mechanism is accelerated to within the scope of molecular dynamics simulations. The associated free energy surface is found to feature local minima corresponding to partially flipped states, particularly relevant to flipping in isolated DNA; further transitions from these minima to the fully flipped conformation are accelerated by additional flooding potentials. The associated free energy profiles feature similar barrier heights for both bases and pathways; the flipped state beyond is a broad and rugged attraction basin, only a few kcal/mol higher in energy than the closed conformation. This result diverges from previous works but echoes some aspects of recent experimental findings, justifying the need for novel approaches to this difficult problem: this contribution represents a first step in this direction. Important structural factors involved in flipping, both local (sugar-phosphate backbone dihedral angles) and global (helical axis bend), are also identified.

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.