Molecular dynamics simulations of the 136 unique tetranucleotide sequences of DNA oligonucleotides. I. Research design and results on d(CpG) steps

Determination of alkali and halide monovalent ion parameters for use in explicitly solvated biomolecular simulations

Alkali (Li(+), Na(+), K(+), Rb(+), and Cs(+)) and halide (F(-), Cl(-), Br(-), and I(-)) ions play an important role in many biological phenomena, roles that range from stabilization of biomolecular structure, to influence on biomolecular dynamics, to key physiological influence on homeostasis and signaling. To properly model ionic interaction and stability in atomistic simulations of biomolecular structure, dynamics, folding, catalysis, and function, an accurate model or representation of the monovalent ions is critically necessary. A good model needs to simultaneously reproduce many properties of ions, including their structure, dynamics, solvation, and moreover both the interactions of these ions with each other in the crystal and in solution and the interactions of ions with other molecules. At present, the best force fields for biomolecules employ a simple additive, nonpolarizable, and pairwise potential for atomic interaction. In this work, we describe our efforts to build better models of the monovalent ions within the pairwise Coulombic and 6-12 Lennard-Jones framework, where the models are tuned to balance crystal and solution properties in Ewald simulations with specific choices of well-known water models. Although it has been clearly demonstrated that truly accurate treatments of ions will require inclusion of nonadditivity and polarizability (particularly with the anions) and ultimately even a quantum mechanical treatment, our goal was to simply push the limits of the additive treatments to see if a balanced model could be created. The applied methodology is general and can be extended to other ions and to polarizable force-field models. Our starting point centered on observations from long simulations of biomolecules in salt solution with the AMBER force fields where salt crystals formed well below their solubility limit. The likely cause of the artifact in the AMBER parameters relates to the naive mixing of the Smith and Dang chloride parameters with AMBER-adapted Aqvist cation parameters. To provide a more appropriate balance, we reoptimized the parameters of the Lennard-Jones potential for the ions and specific choices of water models. To validate and optimize the parameters, we calculated hydration free energies of the solvated ions and also lattice energies (LE) and lattice constants (LC) of alkali halide salt crystals. This is the first effort that systematically scans across the Lennard-Jones space (well depth and radius) while balancing ion properties like LE and LC across all pair combinations of the alkali ions and halide ions. The optimization across the entire monovalent series avoids systematic deviations. The ion parameters developed, optimized, and characterized were targeted for use with some of the most commonly used rigid and nonpolarizable water models, specifically TIP3P, TIP4P EW, and SPC/E. In addition to well reproducing the solution and crystal properties, the new ion parameters well reproduce binding energies of the ions to water and the radii of the first hydration shells.

Comparison of DNA hydration patterns obtained using two distinct computational methods, molecular dynamics simulation and three-dimensional reference interaction site model theory

Because proteins and DNA interact with each other and with various small molecules in the presence of water molecules, we cannot ignore their hydration when discussing their structural and energetic properties. Although high-resolution crystal structure analyses have given us a view of tightly bound water molecules on their surface, the structural data are still insufficient to capture the detailed configurations of water molecules around the surface of these biomolecules. Thanks to the invention of various computational algorithms, computer simulations can now provide an atomic view of hydration. Here, we describe the apparent patterns of DNA hydration calculated by using two different computational methods: Molecular dynamics (MD) simulation and three-dimensional reference interaction site model (3D-RISM) theory. Both methods are promising for obtaining hydration properties, but until now there have been no thorough comparisons of the calculated three-dimensional distributions of hydrating water. This rigorous comparison showed that MD and 3D-RISM provide essentially similar hydration patterns when there is sufficient sampling time for MD and a sufficient number of conformations to describe molecular flexibility for 3D-RISM. This suggests that these two computational methods can be used to complement one another when evaluating the reliability of the calculated hydration patterns.

Molecular dynamics of a kappaB DNA element: base flipping via cross-strand intercalative stacking in a microsecond-scale simulation

The sequence-dependent structural variability and conformational dynamics of DNA play pivotal roles in many biological milieus, such as in the site-specific binding of transcription factors to target regulatory elements. To better understand DNA structure, function, and dynamics in general, and protein···DNA recognition in the ‘κB’ family of genetic regulatory elements in particular, we performed molecular dynamics simulations of a 20-bp DNA encompassing a cognate κB site recognized by the proto-oncogenic ‘c-Rel’ subfamily of NF-κB transcription factors. Simulations of the κB DNA in explicit water were extended to microsecond duration, providing a broad, atomically detailed glimpse into the structural and dynamical behavior of double helical DNA over many timescales. Of particular note, novel (and structurally plausible) conformations of DNA developed only at the long times sampled in this simulation—including a peculiar state arising at ≈0.7 μs and characterized by cross-strand intercalative stacking of nucleotides within a longitudinally sheared base pair, followed (at ≈1 μs) by spontaneous base flipping of a neighboring thymine within the A-rich duplex. Results and predictions from the microsecond-scale simulation include implications for a dynamical NF-κB recognition motif, and are amenable to testing and further exploration via specific experimental approaches that are suggested herein.

Efficient chain moves for Monte Carlo simulations of a wormlike DNA model: excluded volume, supercoils, site juxtapositions, knots, and comparisons with random-flight and lattice models

We develop two classes of Monte Carlo moves for efficient sampling of wormlike DNA chains that can have significant degrees of supercoiling, a conformational feature that is key to many aspects of biological function including replication, transcription, and recombination. One class of moves entails reversing the coordinates of a segment of the chain along one, two, or three axes of an appropriately chosen local frame of reference. These transformations may be viewed as a generalization, to the continuum, of the Madras-Orlitsky-Shepp algorithm for cubic lattices. Another class of moves, termed T+/-2, allows for interconversions between chains with different lengths by adding or subtracting two beads (monomer units) to or from the chain. Length-changing moves are generally useful for conformational sampling with a given site juxtaposition, as has been shown in previous lattice studies. Here, the continuum T+/-2 moves are designed to enhance their acceptance rate in supercoiled conformations. We apply these moves to a wormlike model in which excluded volume is accounted for by a bond-bond repulsion term. The computed autocorrelation functions for the relaxation of bond length, bond angle, writhe, and branch number indicate that the new moves lead to significantly more efficient sampling than conventional bead displacements and crankshaft rotations. A close correspondence is found in the equilibrium ensemble between the map of writhe computed for pair of chain segments and the map of site juxtapositions or self-contacts. To evaluate the more coarse-grained freely jointed chain (random-flight) and cubic lattice models that are commonly used in DNA investigations, twisting (torsional) potentials are introduced into these models. Conformational properties for a given superhelical density sigma may then be sampled by computing the writhe and using White's formula to relate the degree of twisting to writhe and sigma. Extensive comparisons of contact patterns and knot probabilities of the more coarse-grained models with the wormlike model show that the behaviors of the random-flight model are similar to that of DNA molecules in a solution environment with high ionic strengths, whereas the behaviors of the cubic lattice model with excluded volume are akin to that of DNA molecules under low ionic strengths.

Geometrical and electronic structure variability of the sugar-phosphate backbone in nucleic acids

The anionic sugar-phosphate backbone of nucleic acids substantially contributes to their structural flexibility. To model nucleic acid structure and dynamics correctly, the potentially sampled substates of the sugar-phosphate backbone must be properly described. However, because of the complexity of the electronic distribution in the nucleic acid backbone, its representation by classical force fields is very challenging. In this work, the three-dimensional potential energy surfaces with two independent variables corresponding to rotations around the alpha and gamma backbone torsions are studied by means of high-level ab initio methods (B3LYP/6-31+G*, MP2/6-31+G*, and MP2 complete basis set limit levels). The ability of the AMBER ff99 [Wang, J. M.; Cieplak, P.; Kollman, P. A. J. Comput. Chem. 2000, 21, 1049-1074] and parmbsc0 [Perez, A.; Marchan, I.; Svozil, D.; Sponer, J.; Cheatham, T. E.; Laughten, C. A.; Orozco, M. Biophys. J. 2007, 92, 3817-3829] force fields to describe the various alpha/gamma conformations of the DNA backbone accurately is assessed by comparing the results with those of ab initio quantum chemical calculations. Two model systems differing in structural complexity were used to describe the alpha/gamma energetics. The simpler one, SPM, consisting of a sugar and methyl group linked through a phosphodiester bond was used to determine higher-order correlation effects covered by the CCSD(T) method. The second, more complex model system, SPSOM, includes two deoxyribose residues (without the bases) connected via a phosphodiester bond. It has been shown by means of a natural bond orbital analysis that the SPSOM model provides a more realistic representation of the hyperconjugation network along the C5'-O5'-P-O3'-C3' linkage. However, we have also shown that quantum mechanical investigations of this model system are nontrivial because of the complexity of the SPSOM conformational space. A comparison of the ab initio data with the ff99 potential energy surface clearly reveals an incorrect ff99 force-field description in the regions where the gamma torsion is in the trans conformation. An explanation is proposed for why the alpha/gamma flips are eliminated so successfully when the parmbsc0 force-field modification is used.

Prokaryotic gene finding based on physicochemical characteristics of codons calculated from molecular dynamics simulations

An ab initio model for gene prediction in prokaryotic genomes is proposed based on physicochemical characteristics of codons calculated from molecular dynamics (MD) simulations. The model requires a specification of three calculated quantities for each codon: the double-helical trinucleotide base pairing energy, the base pair stacking energy, and an index of the propensity of a codon for protein-nucleic acid interactions. The base pairing and stacking energies for each codon are obtained from recently reported MD simulations on all unique tetranucleotide steps, and the third parameter is assigned based on the conjugate rule previously proposed to account for the wobble hypothesis with respect to degeneracies in the genetic code. The third interaction propensity parameter values correlate well with ab initio MD calculated solvation energies and flexibility of codon sequences as well as codon usage in genes and amino acid composition frequencies in approximately 175,000 protein sequences in the Swissprot database. Assignment of these three parameters for each codon enables the calculation of the magnitude and orientation of a cumulative three-dimensional vector for a DNA sequence of any length in each of the six genomic reading frames. Analysis of 372 genomes comprising approximately 350,000 genes shows that the orientations of the gene and nongene vectors are well differentiated and make a clear distinction feasible between genic and nongenic sequences at a level equivalent to or better than currently available knowledge-based models trained on the basis of empirical data, presenting a strong support for the possibility of a unique and useful physicochemical characterization of DNA sequences from codons to genomes.

Identification of biomolecular conformations from incomplete torsion angle observations by hidden Markov models

We present a novel method for the identification of the most important conformations of a biomolecular system from molecular dynamics or Metropolis Monte Carlo time series by means of Hidden Markov Models (HMMs). We show that identification is possible based on the observation sequences of some essential torsion or backbone angles. In particular, the method still provides good results even if the conformations do have a strong overlap in these angles. To apply HMMs to angular data, we use von Mises output distributions. The performance of the resulting method is illustrated by numerical tests and by application to a hybrid Monte Carlo time series of trialanine and to MD simulation results of a DNA-oligomer.

Electronic couplings and on-site energies for hole transfer in DNA: systematic quantum mechanical/molecular dynamic study

The electron hole transfer (HT) properties of DNA are substantially affected by thermal fluctuations of the pi stack structure. Depending on the mutual position of neighboring nucleobases, electronic coupling V may change by several orders of magnitude. In the present paper, we report the results of systematic QM/molecular dynamic (MD) calculations of the electronic couplings and on-site energies for the hole transfer. Based on 15 ns MD trajectories for several DNA oligomers, we calculate the average coupling squares V(2) and the energies of basepair triplets XG(+)Y and XA(+)Y, where X, Y=G, A, T, and C. For each of the 32 systems, 15,000 conformations separated by 1 ps are considered. The three-state generalized Mulliken-Hush method is used to derive electronic couplings for HT between neighboring basepairs. The adiabatic energies and dipole moment matrix elements are computed within the INDO/S method. We compare the rms values of V with the couplings estimated for the idealized B-DNA structure and show that in several important cases the couplings calculated for the idealized B-DNA structure are considerably underestimated. The rms values for intrastrand couplings G-G, A-A, G-A, and A-G are found to be similar, approximately 0.07 eV, while the interstrand couplings are quite different. The energies of hole states G(+) and A(+) in the stack depend on the nature of the neighboring pairs. The XG(+)Y are by 0.5 eV more stable than XA(+)Y. The thermal fluctuations of the DNA structure facilitate the HT process from guanine to adenine. The tabulated couplings and on-site energies can be used as reference parameters in theoretical and computational studies of HT processes in DNA.

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.

Conformations of poly{G}-poly{C} pi stacks with high hole mobility

Charge transfer properties of DNA depend strongly on the pi stack conformation. In the present paper, we identify conformations of homogeneous poly-{G}-poly-{C} stacks that should exhibit high charge mobility. Two different computational approaches were applied. First, we calculated the electronic coupling squared, V(2), between adjacent base pairs for all 1 ps snapshots extracted from 15 ns molecular dynamics trajectory of the duplex G(15). The average value of the coupling squared <V(2)> is found to be 0.0065 eV(2). Then we analyze the base-pair and step parameters of the configurations in which V(2) is at least an order of magnitude larger than <V(2)>. To obtain more consistent data, approximately 65,000 configurations of the (G:C)(2) stack were built using systematic screening of the step parameters shift, slide, and twist. We show that undertwisted structures (twist<20 degrees) are of special interest, because the pi stack conformations with strong electronic couplings are found for a wide range of slide and shift. Although effective hole transfer can also occur in configurations with twist=30 degrees and 35 degrees, large mutual displacements of neighboring base pairs are required for that. Overtwisted conformation (twist> or =38 degrees) seems to be of limited interest in the context of effective hole transfer. The results may be helpful in the search for DNA based elements for nanoelectronics.

Towards a molecular dynamics consensus view of B-DNA flexibility

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

Spectroscopic and molecular dynamics evidence for a sequential mechanism for the A-to-B transition in DNA

The A-to-B form transition has been examined in three DNA duplexes, d(CGCGAATTCGCG)(2), d(CGCGAATTGCGC), and d(CGCAAATTTCGC), using circular dichroism spectroscopy, ultraviolet resonance Raman (UVRR) spectroscopy, and molecular dynamics (MD) simulation. Circular dichroism spectra confirm that these molecules adopt the A form under conditions of reduced water activity. UVRR results, obtained under similar conditions, suggest that the transition involves a series of intermediate forms between A and B. Cooperative and distinct transitions were observed for the bases and the sugars. Independent MD simulations on d(CGCGAATTCGCG)(2) show a spontaneous change from the A to B form in aqueous solution and describe a kinetic model that agrees well with UVRR results. Based on these observations, we predict that the mechanism of the transition involves a series of A/B hybrid forms and is sequential in nature, similar to previous crystallographic studies of derivatized duplexes. A simulation in which waters were restrained in the major groove of B DNA shows a rapid, spontaneous change from B to A at reduced water activity. These results indicate that a quasiergodic sampling of the solvent distribution may be a problem in going from B to A at reduced water activity in the course of an MD simulation.

Magnitude and direction of DNA bending induced by screw-axis orientation: influence of sequence, mismatches and abasic sites

DNA-bending flexibility is central for its many biological functions. A new bending restraining method for use in molecular mechanics calculations and molecular dynamics simulations was developed. It is based on an average screw rotation axis definition for DNA segments and allows inducing continuous and smooth bending deformations of a DNA oligonucleotide. In addition to controlling the magnitude of induced bending it is also possible to control the bending direction so that the calculation of a complete (2-dimensional) directional DNA-bending map is now possible. The method was applied to several DNA oligonucleotides including A(adenine)-tract containing sequences known to form stable bent structures and to DNA containing mismatches or an abasic site. In case of G:A and C:C mismatches a greater variety of conformations bent in various directions compared to regular B-DNA was found. For comparison, a molecular dynamics implementation of the approach was also applied to calculate the free energy change associated with bending of A-tract containing DNA, including deformations significantly beyond the optimal curvature. Good agreement with available experimental data was obtained offering an atomic level explanation for stable bending of A-tract containing DNA molecules. The DNA-bending persistence length estimated from the explicit solvent simulations is also in good agreement with experiment whereas the adiabatic mapping calculations with a GB solvent model predict a bending rigidity roughly two times larger.

Sliding of alkylating anticancer drugs along the minor groove of DNA: new insights on sequence selectivity

Currently, little is known about the molecular recognition pathways between DNA-alkylating anticancer drugs and their targets despite their pharmacological relevance. In the framework of classical molecular dynamics simulations, here we use umbrella sampling to map the potential of mean force (PMF) associated with sliding along the DNA minor groove of two of these compounds. These are an indole derivative of duocarmycin (DSI) and the putative reactive form of anthramycin (anhydro-anthramycin, IMI). Twenty-three configurations were considered for each drug/DNA complex, corresponding to a movement along approximately 3 basepairs. The alkylation site turns out to be the most favorable for DSI, while a barrier of approximately 6 kcal/mol separates the reactive configuration of IMI.DNA from the absolute minimum. An analysis of various contributions to the PMF reveals that solvent effects play an important role for the largest and more flexible drug DSI. Instead, the PMF of IMI.DNA overall correlates with changes in the binding enthalpy. Implications of these results on the sequence selectivity of the two drugs are discussed.

Molecular dynamics simulations and their application to four-stranded DNA

This review provides a critical assessment of the advantages and limitations of modeling methods available for guanine quadruplex (G-DNA) molecules. We characterize the relations of simulations to the experimental techniques and explain the actual meaning and significance of the results. The following aspects are discussed: pair-additive approximation of the empirical force fields, sampling limitations stemming from the simulation time and accuracy of description of base stacking, H-bonding, sugar-phosphate backbone and ions by force fields. Several methodological approaches complementing the classical explicit solvent molecular dynamics simulations are commented on, including enhanced sampling methods, continuum solvent methods, free energy calculations and gas phase simulations. The successes and pitfalls of recent simulation studies of G-DNA are demonstrated on selected results, including studies of cation interactions and dynamics of G-DNA stems, studies of base substitutions (inosine, thioguanine and mixed tetrads), analysis of possible kinetic intermediates in folding pathway of a G-DNA stem and analysis of loop regions of G-DNA molecules.

Dynamics of B-DNA on the microsecond time scale

We present the first microsecond MD simulation of B-DNA. Trajectory shows good agreement with available data and clarifies the mus dynamics of DNA. The duplex is sampling the B-conformation, but many relevant local transitions are found, including S --> N repuckers (up to 7 N-sugars are found simultaneously), local BII transitions (15% of the dinucleotides are in BII-form; some of these forms are stable for up to 7 ns), and sequence-dependent alpha/gamma transitions (happening in the 7-50 ns time scale, and being stable for up to 80 ns). Partial and total openings are often detected, but no base flipping is found. A.T openings happen after amplification of propeller twist movements, while G.C pairs (which can be opened for up to 1 ns) are opened by a complex mechanism which is often catalyzed by cations. A high affinity Na+ binding site is found in the center of the minor groove. Access to this site by cations is difficult (average entry time 400 ns), but once inside, the ion remains for long periods of time (10-15 ns), producing a sizable narrowing of the minor groove. The essential dynamics of DNA fits well with the pattern of deformation needed to (i) sample uncommon right-handed forms and (ii) sample conformations adopted by DNA when bound to proteins. Clearly, DNA has evolved to be not only a stable structure able to maintain and transmit the genetic information but also a flexible entity whose intrinsic pattern of deformability matches its functional needs.

Intrinsic curvature of DNA influences LacR-mediated looping

Protein-mediated DNA looping is a common mechanism for regulating gene expression. Loops occur when a protein binds to two operators on the same DNA molecule. The probability of looping is controlled, in part, by the basepair sequence of inter-operator DNA, which influences its structural properties. One structural property is the intrinsic or stress-free curvature. In this article, we explore the influence of sequence-dependent intrinsic curvature by exercising a computational rod model for the inter-operator DNA as applied to looping of the LacR-DNA complex. Starting with known sequences for the inter-operator DNA, we first compute the intrinsic curvature of the helical axis as input to the rod model. The crystal structure of the LacR (with bound operators) then defines the requisite boundary conditions needed for the dynamic rod model that predicts the energetics and topology of the intervening DNA loop. A major contribution of this model is its ability to predict a broad range of published experimental data for highly bent (designed) sequences. The model successfully predicts the loop topologies known from fluorescence resonance energy transfer measurements, the linking number distribution known from cyclization assays with the LacR-DNA complex, the relative loop stability known from competition assays, and the relative loop size known from gel mobility assays. In addition, the computations reveal that highly curved sequences tend to lower the energetic cost of loop formation, widen the energy distribution among stable and meta-stable looped states, and substantially alter loop topology. The inclusion of sequence-dependent intrinsic curvature also leads to nonuniform twist and necessitates consideration of eight distinct binding topologies from the known crystal structure of the LacR-DNA complex.

Sequence-dependent DNA deformability studied using molecular dynamics simulations

Proteins recognize specific DNA sequences not only through direct contact between amino acids and bases, but also indirectly based on the sequence-dependent conformation and deformability of the DNA (indirect readout). We used molecular dynamics simulations to analyze the sequence-dependent DNA conformations of all 136 possible tetrameric sequences sandwiched between CGCG sequences. The deformability of dimeric steps obtained by the simulations is consistent with that by the crystal structures. The simulation results further showed that the conformation and deformability of the tetramers can highly depend on the flanking base pairs. The conformations of xATx tetramers show the most rigidity and are not affected by the flanking base pairs and the xYRx show by contrast the greatest flexibility and change their conformations depending on the base pairs at both ends, suggesting tetramers with the same central dimer can show different deformabilities. These results suggest that analysis of dimeric steps alone may overlook some conformational features of DNA and provide insight into the mechanism of indirect readout during protein-DNA recognition. Moreover, the sequence dependence of DNA conformation and deformability may be used to estimate the contribution of indirect readout to the specificity of protein-DNA recognition as well as nucleosome positioning and large-scale behavior of nucleic acids.

Programmable oligomers for minor groove DNA recognition

The four Watson-Crick base pairs of DNA can be distinguished in the minor groove by pairing side-by-side three five-membered aromatic carboxamides, imidazole (Im), pyrrole (Py), and hydroxypyrrole (Hp), four different ways. On the basis of the paradigm of unsymmetrical paired edges of aromatic rings for minor groove recognition, a second generation set of heterocycle pairs, imidazopyridine/pyrrole (Ip/Py) and hydroxybenzimidazole/pyrrole (Hz/Py), revealed that recognition elements not based on analogues of distamycin could be realized. A new set of end-cap heterocycle dimers, oxazole-hydroxybenzimidazole (No-Hz) and chlorothiophene-hydroxybenzimidazole (Ct-Hz), paired with Py-Py are shown to bind contiguous base pairs of DNA in the minor groove, specifically 5'-GT-3' and 5'-TT-3', with high affinity and selectivity. Utilizing this technology, we have developed a new class of oligomers for sequence-specific DNA minor groove recognition no longer based on the N-methyl pyrrole carboxamides of distamycin.

H4 histone tail mediated DNA-DNA interaction and effects on DNA structure, flexibility, and counterion binding. A molecular dynamics study

All-atom molecular dynamics (MD) simulations were performed during 30-45 ns for a system of three identical DNA 22-mers, 14 short fragments of the charged H4 histone tail peptide fragment (amino acids 5-12, KGGKGLGK) with K(+) counterions, and explicit water. The simulation setup mimics the crowded conditions of DNA in eukaryotic chromatin. To assess the influence of tail fragments on DNA structure and dynamics, a "control" 20 ns MD simulation was carried for a system with the same DNA and water content but in the absence of oligopeptides. Results of DNA interaction with the histone tail fragments, K(+), and water is presented. DNA structure and dynamics and its interplay with the histone tail fragments binding are described. The charged side chains of the lysines play a major role in mediating DNA-DNA attraction by forming bridges and coordinating to phosphate groups and electronegative sites in the minor groove. Binding of all species to DNA is dynamic. Some of the tail fragments while being flexible and mobile in each of its functional groups remain associated near certain locations of the DNA oligomer. The present work allows capturing typical features of the histone tail-counterion-DNA structure, interaction, and dynamics.

From rigid base pairs to semiflexible polymers: coarse-graining DNA

The elasticity of double-helical DNA on a nm length scale is captured in detail by the rigid base-pair model, whose conformation variables are the relative positions and orientations of adjacent base pairs. Corresponding sequence-dependent elastic potentials have been obtained from all-atom MD simulation and from high-resolution structural data. On the scale of 100 nm, DNA is successfully described by a continuous wormlike chain model with homogeneous elastic properties, characterized by a set of four elastic constants which have been measured in single-molecule experiments. We present here a theory that links these experiments on different scales, by systematically coarse-graining the rigid base-pair model to an effective wormlike chain description. The average helical geometry of the molecule is accounted for exactly, and repetitive as well as random sequences are considered. Structural disorder is shown to produce a small, additive and short-range correction to thermal conformation fluctuations as well as to entropic elasticity. We also discuss the limits of applicability of the homogeneous wormlike chain on short scales, quantifying the anisotropy of bending stiffness, the non-Gaussian bend angle distribution and the variability of stiffness, all of which are noticeable below a helical turn. The coarse-grained elastic parameters show remarkable overall agreement with experimental wormlike chain stiffness. For the best-matching potential, bending persistence lengths of dinucleotide repeats span a range of 37-53 nm, with a random DNA value of 43 nm. While twist stiffness is somewhat underestimated and stretch stiffness is overestimated, the counterintuitive negative sign and the magnitude of the twist-stretch coupling agree with recent experimental findings.

Electrostatics of DNA Complexes with Cationic Lipid Membranes

We present the exact solutions of the linear Poisson-Boltzmann equation for several problems relevant to electrostatics of DNA complexes with cationic lipids. We calculate the electrostatic potential and electrostatic energy for lamellar and inverted hexagonal phases, concentrating on the effects of dielectric boundaries. We compare our results for the complex energy with the known results of numerical solution of the nonlinear Poisson-Boltzmann equation. Using the solution for the lamellar phase, we calculate the compressibility modulus and compare our findings with the experimental data available. Also, we treat charge-charge interactions across, along, and between two low-dielectric membranes. We obtain an estimate for the strength of electrostatic interactions of one-dimensional DNA smectic layers across the lipid membrane. We discuss in the end some aspects of two-dimensional DNA condensation and DNA-DNA attraction in the DNA-lipid lamellar phase in the presence of di- and trivalent cations. We analyze the equilibrium DNA-DNA separations in lamellar complexes using the recently developed theory of electrostatic interactions of DNA helical charge motifs.

Nucleic acid solvation: from outside to insight

Nucleic acids are polyanionic molecules that were historically considered to be solely surrounded by a shell of water molecules and a neutralizing cloud of monovalent and divalent cations. In this respect, recent experimental and theoretical reports demonstrate that water molecules within complex nucleic acid structures can display very long residency times, and assist drug binding and catalytic reactions. Finally, anions can also bind to these polyanionic systems. Many of these recent insights are provided by state-of-the-art molecular dynamics simulations of nucleic acid systems, which will be described together with relevant methodological issues.

Principles of RNA base pairing: structures and energies of the trans Watson-Crick/sugar edge base pairs

Due to the presence of the 2'-OH hydroxyl group of ribose, RNA molecules utilize an astonishing variability of base pairing patterns to build up their structures and perform the biological functions. Many of the key RNA base pairing families have no counterparts in DNA. In this study, the trans Watson-Crick/sugar edge (trans WC/SE) RNA base pair family has been characterized using quantum chemical and molecular mechanics calculations. Gas-phase optimized geometries from density functional theory (DFT) calculations and RIMP2 interaction energies are reported for the 10 crystallographically identified trans WC/SE base pairing patterns. Further, stable structures are predicted for all of the remaining six possible members of this family not seen in RNAs so far. Among these novel six base pairs, the computations substantially refine two structures suggested earlier based on simple isosteric considerations. For two additional trans WC/SE base pairs predicted in this study, no arrangement was suggested before. Thus, our study brings a complete set of trans WC/SE base pairing patterns. The present results are also contrasted with calculations reported recently for the cis WC/SE base pair family. The computed base pair sizes are in sound correlation with the X-ray data for all WC/SE pairing patterns including both their cis and trans isomers. This confirms that the isostericity of RNA base pairs, which is one of the key factors determining the RNA sequence conservation patterns, originates in the properties of the isolated base pairs. In contrast to the cis structures, however, the isosteric subgroups of the trans WC/SE family differ not only in their H-bonding patterns and steric dimensions but also in the intrinsic strength of the intermolecular interactions. The distribution of the total interaction energy over the sugar-base and base-base contributions is controlled by the cis-trans isomerism.

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.

Site-specific dynamics of strands in ss- and dsDNA as revealed by time-domain fluorescence of 2-aminopurine

It is well recognized that structure and dynamics of DNA strands guide proteins toward their cognate sites in DNA. While the dynamics is controlled primarily by the nucleotide sequence, the context of a particular sequence in relation to an open end could also play a significant role. In this work we have used the fluorescent analogue of adenine, 2-aminopurine (2-AP), to extract information on site-specific dynamics of DNA strands associated with 30-70 nucleotides length. Measurement of fluorescence lifetime and anisotropy decay kinetics in various types of DNA strands in which 2-AP was located in specific positions revealed novel insights into the dynamics of strands. We find that in single-stranded (ss) DNA, the extent of motional dynamics of the bases falls off sharply from the very end toward the middle of the strand. In contrast, the flexibility of the backbone decreases more gradually in the same direction. In double-stranded (ds) DNA, the level of base-pair fraying increases toward the ends in a graded manner. Surprisingly, the same is countered by the presence of ss-overhangs emanating from dsDNA ends. Moreover, the extent of concerted motion of bases in duplex DNA increased from the end to the middle of the duplex, a result which is both striking and counterintuitive. Most surprisingly, the two complementary strands of a duplex that were unequal in length exhibited differential dynamics: the longer one with overhangs showed a distinctly higher level of flexibility than the recessed shorter strand in the same duplex. All these results, taken together, provoke newer insights in our understanding of how different bases in DNA strands are endowed with specific dynamic properties as a function of their positions. These properties are likely to be used in facilitating specific recognitions of DNA bases by proteins during various DNA-protein interaction systems.

The genomic HDV ribozyme utilizes a previously unnoticed U-turn motif to accomplish fast site-specific catalysis

The genome of the human hepatitis delta virus (HDV) harbors a self-cleaving catalytic RNA motif, the genomic HDV ribozyme, whose crystal structure shows the dangling nucleotides 5′ of the cleavage site projecting away from the catalytic core. This 5′-sequence contains a clinically conserved U − 1 that we find to be essential for fast cleavage, as the order of activity follows U − 1 > C − 1 > A − 1 > G − 1, with a >25-fold activity loss from U − 1 to G − 1. Terbium(III) footprinting detects conformations for the P1.1 stem, the cleavage site wobble pair and the A-minor motif of the catalytic trefoil turn that depend on the identity of the N − 1 base. The most tightly folded catalytic core, resembling that of the reaction product, is found in the U − 1 wild-type precursor. Molecular dynamics simulations demonstrate that a U − 1 forms the most robust kink around the scissile phosphate, exposing it to the catalytic C75 in a previously unnoticed U-turn motif found also, for example, in the hammerhead ribozyme and tRNAs. Strikingly, we find that the common structural U-turn motif serves distinct functions in the HDV and hammerhead ribozymes.

A simple physical description of DNA dynamics: quasi-harmonic analysis as a route to the configurational entropy

It has become increasingly apparent that the dynamic as well as the structural properties of biological macromolecules are important to their function. However, information concerning molecular flexibility can be difficult to obtain experimentally at the atomic level. Computer modelling techniques such as molecular dynamics (MD) have therefore proved invaluable in advancing our understanding of biomolecular flexibility. This paper describes how a combination of atomistic MD simulations and quasi-harmonic analysis can be used to describe the dynamics of duplex DNA, with a particular emphasis on methods for calculating differences in configurational entropies. We demonstrate that DNA possesses remarkably simple mechanical properties relative to globular proteins, making it an ideal system for exploring biomolecular flexibility in general. Our results also highlight the importance of solvent viscosity in determining the dynamic behaviour of DNA in aqueous solution.

Kinking occurs during molecular dynamics simulations of small DNA minicircles

Recent experiments on minicircle formation suggest that a conformational mechanism other than smooth deformation may be playing a role in enhancing DNA flexibility. Both local base unpairing and kink formation have been suggested as possible explanations. Although kinks within isolated DNA were proposed 30 years ago, they have, until now, only been observed within DNA complexed with proteins. In order to test how DNA behaves in the strong bending regime, we have carried out molecular dynamics simulations of a 94 base pair minicircle in explicit solvent with two different linking numbers, corresponding to a torsionally relaxed state and a positively supercoiled state. The simulations suggest that sharp kinks can indeed arise in small minicircles. The relaxed minicircle is generally associated with a single kink, while two kinks occur with the supercoiled state. No evidence is seen of base unpaired regions.

Anthramycin-DNA binding explored by molecular simulations

The anticancer drug anthramycin inhibits replication and transcription processes by covalently binding to DNA. Here, we use molecular simulations to investigate the interaction between this ligand and the dodecanucleotide d[GCCAACGTTGGC](2). We start from the X-ray structure of the adduct anthramycin-d[CCAACGTTG*G](2), in which the drug binds covalently to guanine.1 We focus on the noncovalent complexes between the oligonucleotide and the anhydro and hydroxy forms of the drug. Molecular dynamics (MD) simulations show that only the hydroxy form lies in front of the reactive center for the whole simulation ( approximately 20 ns), while the anhydro form moves inside the minor groove to the nearest base pair after approximately 10 ns. This sliding process is associated to both energetic and structural relaxations of the complex. The accuracy of our computational setup is established by performing MD simulations of the covalent adduct and of a 14-mer complexed with anhydro-anthramycin. The MD simulations are complemented by hybrid Car-Parrinello quantum mechanics/molecular mechanics (QM/MM) simulations. These show that in the noncovalent complexes the electric field due to DNA polarizes the hydroxy and, even more, the anhydro form of the drug as to favor a nucleophilic attack by the alkylating guanine. This suggests that the binding process may be characterized by a multistep pathway, catalyzed by the electric field of DNA.

Programmable oligomers targeting 5'-GGGG-3' in the minor groove of DNA and NF-kappaB binding inhibition

A series of hairpin oligomers containing benzimidazole (Bi) and imidazopyridine (Ip) rings were synthesized and screened to target 5'-WGGGGW-3', a core sequence in the DNA-binding site of NF-kappaB, a prolific transcription factor important in biology and disease. Five Bi and Ip containing oligomers bound to the 5'-WGGGGW-3' site with high affinity. One of the oligomers (Im-Im-Im-Im-gamma-Py-Bi-Py-Bi-beta-Dp) was able to inhibit DNA binding by the transcription factor NF-kappaB.

Indirect readout: detection of optimized subsequences and calculation of relative binding affinities using different DNA elastic potentials

Essential biological processes require that proteins bind to a set of specific DNA sites with tuned relative affinities. We focus on the indirect readout mechanism and discuss its theoretical description in relation to the present understanding of DNA elasticity on the rigid base pair level. Combining existing parametrizations of elastic potentials for DNA, we derive elastic free energies directly related to competitive binding experiments, and propose a computationally inexpensive local marker for elastically optimized subsequences in protein-DNA co-crystals. We test our approach in an application to the bacteriophage 434 repressor. In agreement with known results we find that indirect readout dominates at the central, non-contacted bases of the binding site. Elastic optimization involves all deformation modes and is mainly due to the adapted equilibrium structure of the operator, while sequence-dependent elasticity plays a minor role. These qualitative observations are robust with respect to current parametrization uncertainties. Predictions for relative affinities mediated by indirect readout depend sensitively on the chosen parametrization. Their quantitative comparison with experimental data allows for a critical evaluation of DNA elastic potentials and of the correspondence between crystal and solution structures. The software written for the presented analysis is included as Supplementary Data.

Structure, dynamics, and elasticity of free 16s rRNA helix 44 studied by molecular dynamics simulations

Molecular dynamics (MD) simulations were employed to investigate the structure, dynamics, and local base-pair step deformability of the free 16S ribosomal helix 44 from Thermus thermophilus and of a canonical A-RNA double helix. While helix 44 is bent in the crystal structure of the small ribosomal subunit, the simulated helix 44 is intrinsically straight. It shows, however, substantial instantaneous bends that are isotropic. The spontaneous motions seen in simulations achieve large degrees of bending seen in the X-ray structure and would be entirely sufficient to allow the dynamics of the upper part of helix 44 evidenced by cryo-electron microscopic studies. Analysis of local base-pair step deformability reveals a patch of flexible steps in the upper part of helix 44 and in the area proximal to the bulge bases, suggesting that the upper part of helix 44 has enhanced flexibility. The simulations identify two conformational substates of the second bulge area (bottom part of the helix) with distinct base pairing. In agreement with nuclear magnetic resonance (NMR) and X-ray studies, a flipped out conformational substate of conserved 1492A is seen in the first bulge area. Molecular dynamics (MD) simulations reveal a number of reversible alpha-gamma backbone flips that correspond to transitions between two known A-RNA backbone families. The flipped substates do not cumulate along the trajectory and lead to a modest transient reduction of helical twist with no significant influence on the overall geometry of the duplexes. Despite their considerable flexibility, the simulated structures are very stable with no indication of substantial force field inaccuracies.

B-DNA under stress: over- and untwisting of DNA during molecular dynamics simulations

The twist flexibility of DNA is central to its many biological functions. Explicit solvent molecular dynamics simulations in combination with an umbrella sampling restraining potential have been employed to study induced twist deformations in DNA. Simulations allowed us to extract free energy profiles for twist deformations and were performed on six DNA dodecamer duplexes to cover all 10 possible DNA basepair steps. The shape of the free energy curves was similar for all duplexes. The calculated twist deformability was in good agreement with experiment and showed only modest variation for the complete duplexes. However, the response of the various basepair steps on twist stress was highly nonuniform. In particular, pyrimidine/purine steps were much more flexible than purine/purine steps followed by purine/pyrimidine steps. It was also possible to extract correlations of twist changes and other helical as well as global parameters of the DNA molecules. Twist deformations were found to significantly alter the local as well as global shape of the DNA modulating the accessibility for proteins and other ligands. Severe untwisting of DNA below an average of 25 degrees per basepair step resulted in the onset of a global structural transition with a significantly smaller twist at one end of the DNA compared to the other.

ReadOut: structure-based calculation of direct and indirect readout energies and specificities for protein-DNA recognition

Protein-DNA interactions play a central role in regulatory processes at the genetic level. DNA-binding proteins recognize their targets by direct base-amino acid interactions and indirect conformational energy contribution from DNA deformations and elasticity. Knowledge-based approach based on the statistical analysis of protein-DNA complex structures has been successfully used to calculate interaction energies and specificities of direct and indirect readouts in protein-DNA recognition. Here, we have implemented the method as a webserver, which calculates direct and indirect readout energies and Z-scores, as a measure of specificity, using atomic coordinates of protein-DNA complexes. This server is freely available at http://gibk26.bse.kyutech.ac.jp/jouhou/readout/. The only input to this webserver is the Protein Data Bank (PDB) style coordinate data of atoms or the PDB code itself. The server returns total energy Z-scores, which estimate the degree of sequence specificity of the protein-DNA complex. This webserver is expected to be useful for estimating interaction energy and DNA conformation energy, and relative contributions to the specificity from direct and indirect readout. It may also be useful for checking the quality of protein-DNA complex structures, and for engineering proteins and target DNAs.

Molecular Dynamics Simulations of DNA with Polarizable Force Fields: Convergence of an Ideal B-DNA Structure to the Crystallographic Structure

We have investigated to what extent molecular dynamics (MD) simulations can reproduce DNA sequence-specific features, given different electrostatic descriptions and different cell environments. For this purpose, we have carried out multiple unrestrained MD simulations of the DNA duplex d(CCAACGTTGG)2. With respect to the electrostatic descriptions, two different force fields are studied: a traditional description based on atomic point charges and a polarizable force field. With respect to the cell environment, the difference between crystal and solution environments is emphasized, as well as the structural importance of divalent ions. By imposing the correct experimental unit cell environment, an initial configuration with two ideal B-DNA duplexes in the unit cell is shown to converge to the crystallographic structure. This convergence is measured by the appearance of sequence-dependent features that very closely resemble the crystallographic ones as well as by the decay of the all-atom root-mean-squared coordinates deviations (RMSD) with respect to the crystallographic structure. Given the appropriate crystallographic constraints, this is the first example of multiple nanosecond molecular dynamics trajectory that shows an ideal B-DNA model converging to an experimental structure, with a significant decay of RMSD.

A coarse-grained model for double-helix molecules in solution: spontaneous helix formation and equilibrium properties

A new reductionist coarse-grained model is presented for double-helix molecules in solution. As with such models for lipid bilayers and micelles, the level of description is both particulate and mesoscopic. The particulate (bead-and-spring) nature of the model makes for a simple implementation in standard molecular dynamics simulation codes and allows for investigation of thermomechanic properties without preimposing any (form of) response function. The mesoscopic level of description--where groups of atoms are condensed into coarse-grained beads--causes long-range interactions to be effectively screened, which greatly enhances the efficiency and scalability of simulations. Without imposing local or global order parameters, a linear initial configuration of the model molecule spontaneously assembles into a double helix due to the interplay between three contributions: hydrophobic/hydrophilic interactions between base pairs, backbone, and solvent; phosphate-phosphate repulsion along the backbone; and favorable base-pair stacking energy. We present results for the process of helix formation as well as for the equilibrium properties of the final state, and investigate how both depend on the input parameters. The current model holds promise for two routes of investigation: First, within a limited set of generic parameters, the effect of local (atomic-scale) perturbations on overall helical properties can be systematically studied. Second, since the efficiency allows for a direct simulation of both small and large (>100 base pairs) systems, the model presents a testground for systematic coarse-graining methods.

Minor groove deformability of DNA: a molecular dynamics free energy simulation study

The conformational deformability of nucleic acids can influence their function and recognition by proteins. A class of DNA binding proteins including the TATA box binding protein binds to the DNA minor groove, resulting in an opening of the minor groove and DNA bending toward the major groove. Explicit solvent molecular dynamics simulations in combination with the umbrella sampling approach have been performed to investigate the molecular mechanism of DNA minor groove deformations and the indirect energetic contribution to protein binding. As a reaction coordinate, the distance between backbone segments on opposite strands was used. The resulting deformed structures showed close agreement with experimental DNA structures in complex with minor groove-binding proteins. The calculated free energy of minor groove deformation was approximately 4-6 kcal mol(-1) in the case of a central TATATA sequence. A smaller equilibrium minor groove width and more restricted minor groove mobility was found for the central AAATTT and also a significantly ( approximately 2 times) larger free energy change for opening the minor groove. The helical parameter analysis of trajectories indicates that an easier partial unstacking of a central TA versus AT basepair step is a likely reason for the larger groove flexibility of the central TATATA case.

Cations and hydration in catalytic RNA: molecular dynamics of the hepatitis delta virus ribozyme

The hepatitis delta virus (HDV) ribozyme is an RNA enzyme from the human pathogenic HDV. Cations play a crucial role in self-cleavage of the HDV ribozyme, by promoting both folding and chemistry. Experimental studies have revealed limited but intriguing details on the location and structural and catalytic functions of metal ions. Here, we analyze a total of approximately 200 ns of explicit-solvent molecular dynamics simulations to provide a complementary atomistic view of the binding of monovalent and divalent cations as well as water molecules to reaction precursor and product forms of the HDV ribozyme. Our simulations find that an Mg2+ cation binds stably, by both inner- and outer-sphere contacts, to the electronegative catalytic pocket of the reaction precursor, in a position to potentially support chemistry. In contrast, protonation of the catalytically involved C75 in the precursor or artificial placement of this Mg2+ into the product structure result in its swift expulsion from the active site. These findings are consistent with a concerted reaction mechanism in which C75 and hydrated Mg2+ act as general base and acid, respectively. Monovalent cations bind to the active site and elsewhere assisted by structurally bridging long-residency water molecules, but are generally delocalized.

Structural and dynamic effects of single 7-hydro-8-oxoguanine bases located in a frameshift target DNA sequence

DNA 7-hydro-8-oxoguanine (8-oxoG) is implicated in frameshift formation in an G(6) sequence of the HPRT gene in mismatch repair (MMR) defective cells. Using oligonucleotides based on this frameshift hotspot, we investigated how a single 8-oxoG modified the structural and dynamic properties of the G(6) tract. A 30 ns molecular dynamics (MD) simulation indicated compression of the minor groove in the immediate vicinity of the lesion. Fluorescence polarization anisotropy (FPA) and MD demonstrated that 8-oxoG increases DNA torsional rigidity and also constrains the movement of the single-stranded region at the single/double stranded DNA junction of model DNA replication template/primer. These constraints influenced the efficiency of primer extension by Klenow (exo(-)) DNA polymerase.

Sequence-dependent conformational energy of DNA derived from molecular dynamics simulations: toward understanding the indirect readout mechanism in protein-DNA recognition

Sequence dependence of DNA conformation plays a crucial role in its recognition by proteins and ligands. To clarify the relationship between sequence and conformation, it is necessary to quantify the conformational energy and specificity of DNA. Here, we make a systematic analysis of dodecamer DNA structures including all the 136 unique tetranucleotide sequences at the center by molecular dynamics simulations. Using a simplified conformational model with six parameters to describe the geometry of adjacent base pairs and harmonic potentials along these coordinates, we estimated the equilibrium conformational parameters and the harmonic potentials of mean force for the central base-pair steps from many trajectories of the simulations. This enabled us to estimate the conformational energy and the specificity for any given DNA sequence and structure. We tested our method by using sequence-structure threading to estimate the conformational energy and the Z-score as a measure of specificity for many B-DNA and A-DNA crystal structures. The average Z-scores were negative for both kinds of structures, indicating that the potential of mean force from the simulation is capable of predicting sequence specificity for the crystal structures and that it may be used to study the sequence specificity of both types of DNA. We also estimated the positional distribution of conformational energy and Z-score within DNA and showed that they are strongly position dependent. This analysis enabled us to identify particular conformations responsible for the specificity. The presented results will provide an insight into the mechanisms of DNA sequence recognition by proteins and ligands.

Molecular dynamics simulations of sarcin-ricin rRNA motif

Explicit solvent molecular dynamics (MD) simulations were carried out for sarcin-ricin domain (SRD) motifs from 23S (Escherichia coli) and 28S (rat) rRNAs. The SRD motif consists of GAGA tetraloop, G-bulged cross-strand A-stack, flexible region and duplex part. Detailed analysis of the overall dynamics, base pairing, hydration, cation binding and other SRD features is presented. The SRD is surprisingly static in multiple 25 ns long simulations and lacks any non-local motions, with root mean square deviation (r.m.s.d.) values between averaged MD and high-resolution X-ray structures of 1-1.4 A. Modest dynamics is observed in the tetraloop, namely, rotation of adenine in its apex and subtle reversible shift of the tetraloop with respect to the adjacent base pair. The deformed flexible region in low-resolution rat X-ray structure is repaired by simulations. The simulations reveal few backbone flips, which do not affect positions of bases and do not indicate a force field imbalance. Non-Watson-Crick base pairs are rigid and mediated by long-residency water molecules while there are several modest cation-binding sites around SRD. In summary, SRD is an unusually stiff rRNA building block. Its intrinsic structural and dynamical signatures seen in simulations are strikingly distinct from other rRNA motifs such as Loop E and Kink-turns.

Data Mining of Molecular Dynamics Trajectories of Nucleic Acids

Analysis, storage, and transfer of molecular dynamic trajectories are becoming the bottleneck of computer simulations. In this paper we discuss different approaches for data mining and data processing of huge trajectory files generated from molecular dynamic simulations of nucleic acids.

Structural Fluctuations and Excitation Transfer between Adenine and 2-Aminopurine in Single-Stranded Deoxytrinucleotides

Steady-state fluorescence measurements on the deoxytrinucleotides (5')dTp2APpA(3') and (5')dAp2APpA(3') show a temperature-dependence and a viscosity-dependence for energy transfer that qualitatively differ from those seen in our previous study of charge transfer (CT) in these systems. Time-resolved anisotropy studies and molecular dynamics simulations are presented that provide a detailed characterization of the structural dynamics of these systems and how these fluctuations modulate the electronic interaction between 2AP and its neighbors. To gain quantitative insight into the interplay of conformational fluctuations and stacking-induced energy transfer, we present results from a new hybrid quantum-classical simulation method for computing the A --> 2AP energy transfer rate that makes use of the full three-dimensional nature of the donor and acceptor transition densities. Analysis of the results shows that the standard transition dipole-transition dipole approximation for the Coulombic coupling substantially overestimates the transfer rate and that the nearest neighbor energy transfer from adenine to 2AP occurs on a much faster time scale than that for CT. This suggests that, unlike the CT dynamics where conformational "gating" plays a critical role, the large amplitude fluctuations that modulate the process are largely "frozen" out on the energy transfer time scale.

Structural and energetic origins of sequence-specific DNA bending: Monte Carlo simulations of papillomavirus E2-DNA binding sites

DNA bending is an important structural feature for indirect readout in protein-DNA recognition. The binding of papillomavirus E2 transcription factors to their DNA binding sites is associated with DNA bending, providing an attractive model system to study the origins of sequence-specific DNA bending. The consensus E2 target is of the general form ACCGN(4)CGGT with a variable four base pair region. We applied a new all-atom Monte Carlo (MC) algorithm that combines effective sampling with fast conformational equilibration. The resulting MC ensembles resemble the corresponding high-resolution crystal structures very well. Distinct bending is observed for the E2-DNA binding site with a central AATT linker in contrast to an essentially straight DNA with a central ACGT linker. Contributions of specific base pair steps to the overall bending are shown in terms of local structural parameters. The analysis of conformational substates provides new insights into the energetic origins of intrinsic DNA bending.

Large-amplitude fast motions in double-stranded DNA driven by solvent thermal fluctuations

The nature of the internal dynamics of double-stranded DNA in aqueous environment remains to be established. We consider the motions to stem from thermal fluctuations/dissipations of the harmonic modes of beads (bases and sugars) in a cylindrical geometry that are tracked through the stochastic Langevin trajectories; these are characterized by parameters obtained from published data. The present approach has allowed a comparative study of the dynamics for DNA lengths in the range of 20-600 base pairs. For this range, we find that rotational motions about directions parallel to the helix axis (opening, twist) and perpendicular to it (propeller-twist, roll) contribute significantly to the dynamics. For a 20-mer at a solvent viscosity of 1 cP, the calculated fluorescence anisotropy profile exhibits a fast decay in the subnanosecond range due to large-amplitude fluctuations at the mesoscopic level. This feature reproduces the experimental behavior well, and suggests a possible way for the initiation of biological processes: they may be suddenly triggered on this scale through the occurrence of favorable thermal fluctuations. This analysis also reveals that, as is the case for a 20-mer, the dynamics of longer N-mers are dominated by internal motions, and are modulated by the viscosity of the solvent, in agreement with our previous experimental observations. Moreover, the model indicates that occurrence of partially concerted rotations of the bases due to thermal fluctuations can possibly be sustained over a DNA length of the order of 100 A at 1 ns, suggesting a possible mechanism for action-at-a-distance in transcription.