Molecular dynamics simulations of solvated yeast tRNA(Asp)

Structural basis of MALAT1 RNA maturation and mascRNA biogenesis

The metastasis-associated lung adenocarcinoma transcript 1 (MALAT1) long noncoding RNA (lncRNA) has key roles in regulating transcription, splicing, tumorigenesis, etc. Its maturation and stabilization require precise processing by RNase P, which simultaneously initiates the biogenesis of a 3' cytoplasmic MALAT1-associated small cytoplasmic RNA (mascRNA). mascRNA was proposed to fold into a transfer RNA (tRNA)-like secondary structure but lacks eight conserved linking residues required by the canonical tRNA fold. Here we report crystal structures of human mascRNA before and after processing, which reveal an ultracompact, quasi-tRNA-like structure. Despite lacking all linker residues, mascRNA faithfully recreates the characteristic 'elbow' feature of tRNAs to recruit RNase P and ElaC homolog protein 2 (ELAC2) for processing, which exhibit distinct substrate specificities. Rotation and repositioning of the D-stem and anticodon regions preclude mascRNA from aminoacylation, avoiding interference with translation. Therefore, a class of metazoan lncRNA loci uses a previously unrecognized, unusually streamlined quasi-tRNA architecture to recruit select tRNA-processing enzymes while excluding others to drive bespoke RNA biogenesis, processing and maturation.

RNA modifications stabilize the tertiary structure of tRNAfMet by locally increasing conformational dynamics

A plethora of modified nucleotides extends the chemical and conformational space for natural occurring RNAs. tRNAs constitute the class of RNAs with the highest modification rate. The extensive modification modulates their overall stability, the fidelity and efficiency of translation. However, the impact of nucleotide modifications on the local structural dynamics is not well characterized. Here we show that the incorporation of the modified nucleotides in tRNAfMet from Escherichia coli leads to an increase in the local conformational dynamics, ultimately resulting in the stabilization of the overall tertiary structure. Through analysis of the local dynamics by NMR spectroscopic methods we find that, although the overall thermal stability of the tRNA is higher for the modified molecule, the conformational fluctuations on the local level are increased in comparison to an unmodified tRNA. In consequence, the melting of individual base pairs in the unmodified tRNA is determined by high entropic penalties compared to the modified. Further, we find that the modifications lead to a stabilization of long-range interactions harmonizing the stability of the tRNA's secondary and tertiary structure. Our results demonstrate that the increase in chemical space through introduction of modifications enables the population of otherwise inaccessible conformational substates.

Structure and Dynamics of tRNAMet Containing Core Substitutions

The fidelity of protein synthesis is largely dominated by the accurate recognition of transfer RNAs (tRNAs) by their cognate aminoacyl-tRNA synthetases. Aminoacylation of each tRNA with its cognate amino acid is necessary to maintain the accuracy of genetic code input. Aminoacylated tRNA^Met functions in both initiation and elongation steps during protein synthesis. As a precursor to the investigation of a methionyl-tRNA synthetase-tRNA^Met complex, presented here are the results of molecular dynamics (MD) for single nucleotide substitutions in the D-loop of tRNA^Met (G15A, G18A, and G19A) probing structure/function relationships. The core of tRNA^Met likely mediates an effective communication between the tRNA anticodon and acceptor ends, contributing an acceptor stem rearrangement to fit into the enzyme-active site. Simulations of Escherichia coli tRNA^Met were performed for 1 μs four times each. The MD simulations showed changes in tRNA flexibility and long-range communication most prominently in the G18A variant. The results indicate that the overall tertiary structure of tRNA^Met remains unchanged with these substitutions; yet, there are perturbations to the secondary structure. Network-based analysis of the hydrogen bond structure and correlated motion indicates that the secondary structure elements of the tRNA are highly intraconnected, but loosely interconnected. Specific nucleotides, including U8 and G22, stabilize the mutated structures and are candidates for substitution in future studies.

RNA Structural Dynamics As Captured by Molecular Simulations: A Comprehensive Overview

With both catalytic and genetic functions, ribonucleic acid (RNA) is perhaps the most pluripotent chemical species in molecular biology, and its functions are intimately linked to its structure and dynamics. Computer simulations, and in particular atomistic molecular dynamics (MD), allow structural dynamics of biomolecular systems to be investigated with unprecedented temporal and spatial resolution. We here provide a comprehensive overview of the fast-developing field of MD simulations of RNA molecules. We begin with an in-depth, evaluatory coverage of the most fundamental methodological challenges that set the basis for the future development of the field, in particular, the current developments and inherent physical limitations of the atomistic force fields and the recent advances in a broad spectrum of enhanced sampling methods. We also survey the closely related field of coarse-grained modeling of RNA systems. After dealing with the methodological aspects, we provide an exhaustive overview of the available RNA simulation literature, ranging from studies of the smallest RNA oligonucleotides to investigations of the entire ribosome. Our review encompasses tetranucleotides, tetraloops, a number of small RNA motifs, A-helix RNA, kissing-loop complexes, the TAR RNA element, the decoding center and other important regions of the ribosome, as well as assorted others systems. Extended sections are devoted to RNA-ion interactions, ribozymes, riboswitches, and protein/RNA complexes. Our overview is written for as broad of an audience as possible, aiming to provide a much-needed interdisciplinary bridge between computation and experiment, together with a perspective on the future of the field.

The Importance of Being Modified: The Role of RNA Modifications in Translational Fidelity

The posttranscriptional modifications of tRNA's anticodon stem and loop (ASL) domain represent a third level, a third code, to the accuracy and efficiency of translating mRNA codons into the correct amino acid sequence of proteins. Modifications of tRNA's ASL domain are enzymatically synthesized and site specifically located at the anticodon wobble position-34 and 3'-adjacent to the anticodon at position-37. Degeneracy of the 64 Universal Genetic Codes and the limitation in the number of tRNA species require some tRNAs to decode more than one codon. The specific modification chemistries and their impact on the tRNA's ASL structure and dynamics enable one tRNA to decode cognate and "wobble codons" or to expand recognition to synonymous codons, all the while maintaining the translational reading frame. Some modified nucleosides' chemistries prestructure tRNA to read the two codons of a specific amino acid that shares a twofold degenerate codon box, and other chemistries allow a different tRNA to respond to all four codons of a fourfold degenerate codon box. Thus, tRNA ASL modifications are critical and mutations in genes for the modification enzymes and tRNA, the consequences of which is a lack of modification, lead to mistranslation and human disease. By optimizing tRNA anticodon chemistries, structure, and dynamics in all organisms, modifications ensure translational fidelity of mRNA transcripts.

Comparative Structural Dynamics of tRNA(Phe) with Respect to Hinge Region Methylated Guanosine: A Computational Approach

Transfer RNAs (tRNAs) contain various uniquely modified nucleosides thought to be useful for maintaining the structural stability of tRNAs. However, their significance for upholding the tRNA structure has not been investigated in detail at the atomic level. In this study, molecular dynamic simulations have been performed to assess the effects of methylated nucleic acid bases, N (2)-methylguanosine (m(2)G) and N (2)-N (2)-dimethylguanosine (m 2 (2) G) at position 26, i.e., the hinge region of E. coli tRNA(Phe) on its structure and dynamics. The results revealed that tRNA(Phe) having unmodified guanosine in the hinge region (G26) shows structural rearrangement in the core of the molecule, resulting in lack of base stacking interactions, U-turn feature of the anticodon loop, and TΨC loop. We show that in the presence of the unmodified guanosine, the overall fold of tRNA(Phe) is essentially not the same as that of m(2)G26 and m 2 (2) G26 containing tRNA(Phe). This structural rearrangement arises due to intrinsic factors associated with the weak hydrogen-bonding patterns observed in the base triples of the tRNA(Phe) molecule. The m(2)G26 and m 2 (2) G26 containing tRNA(Phe) retain proper three-dimensional fold through tertiary interactions. Single-point energy and molecular electrostatics potential calculation studies confirmed the structural significance of tRNAs containing m(2)G26 and m 2 (2) G26 compared to tRNA with normal G26, showing that the mono-methylated (m(2)G26) and dimethylated (m 2 (2) G26) modifications are required to provide structural stability not only in the hinge region but also in the other parts of tRNA(Phe). Thus, the present study allows us to better understand the effects of modified nucleosides and ionic environment on tRNA folding.

AMBER Force Field Parameters for the Naturally Occurring Modified Nucleosides in RNA

Classical molecular dynamics (MD) simulations are useful for characterizing the structure and dynamics of biological macromolecules, ultimately, resulting in elucidation of biological function. The AMBER force field is widely used and has well-defined bond length, bond angle, partial charge, and van der Waals parameters for all the common amino acids and nucleotides, but it lacks parameters for many of the modifications found in nucleic acids and proteins. Presently there are 107 known naturally occurring modifications that play important roles in RNA stability, folding, and other functions. Modified nucleotides are found in almost all transfer RNAs, ribosomal RNAs of both the small and large subunits, and in many other functional RNAs. We developed force field parameters for the 107 modified nucleotides currently known to be present in RNA. The methodology used for deriving the modified nucleotide parameters is consistent with the methods used to develop the Cornell et al. force field. These parameters will improve the functionality of AMBER so that simulations can now be readily performed on diverse RNAs having post-transcriptional modifications.

Structural Insights into tRNA Dynamics on the Ribosome

High-resolution structures at different stages, as well as biochemical, single molecule and computational approaches have highlighted the elasticity of tRNA molecules when bound to the ribosome. It is well acknowledged that the inherent structural flexibility of the tRNA lies at the heart of the protein synthesis process. Here, we review the recent advances and describe considerations that the conformational changes of the tRNA molecules offer about the mechanisms grounded in translation.

Frequent side chain methyl carbon-oxygen hydrogen bonding in proteins revealed by computational and stereochemical analysis of neutron structures

The propensity of backbone Cα atoms to engage in carbon-oxygen (CH · · · O) hydrogen bonding is well-appreciated in protein structure, but side chain CH · · · O hydrogen bonding remains largely uncharacterized. The extent to which side chain methyl groups in proteins participate in CH · · · O hydrogen bonding is examined through a survey of neutron crystal structures, quantum chemistry calculations, and molecular dynamics simulations. Using these approaches, methyl groups were observed to form stabilizing CH · · · O hydrogen bonds within protein structure that are maintained through protein dynamics and participate in correlated motion. Collectively, these findings illustrate that side chain methyl CH · · · O hydrogen bonding contributes to the energetics of protein structure and folding.

Influence of Sequence and Covalent Modifications on Yeast tRNA Dynamics

Modified nucleotides are prevalent in tRNA. Experimental studies reveal that these covalent modifications play an important role in tuning tRNA function. In this study, molecular dynamics (MD) simulations were used to investigate how modifications alter tRNA dynamics. The X-ray crystal structures of tRNA(Asp), tRNA(Phe), and tRNA(iMet), both with and without modifications, were used as initial structures for 333 ns explicit solvent MD simulations with AMBER. For each tRNA molecule, three independent trajectory calculations were performed, giving an aggregate of 6 μs of total MD across six molecules. The global root-mean-square deviations (RMSD) of atomic positions show that modifications only introduce significant rigidity to the global structure of tRNA(Phe). Interestingly, RMSDs of the anticodon stem-loop (ASL) suggest that modified tRNA has a more rigid structure compared to the unmodified tRNA in this domain. The anticodon RMSDs of the modified tRNAs, however, are higher than those of corresponding unmodified tRNAs. These findings suggest that the rigidity of the anticodon stem-loop is finely tuned by modifications, where rigidity in the anticodon arm is essential for tRNA translocation in the ribosome, and flexibility of the anticodon is important for codon recognition. Sugar pucker and water residence time of pseudouridines in modified tRNAs and corresponding uridines in unmodified tRNAs were assessed, and the results reinforce that pseudouridine favors the 3′-endo conformation and has a higher tendency to interact with water. Principal component analysis (PCA) was used to examine correlated motions in tRNA. Additionally, covariance overlaps of PCAs were compared for trajectories of the same molecule and between trajectories of modified and unmodified tRNAs. The comparison suggests that modifications alter the correlated motions. For the anticodon bases, the extent of stacking was compared between modified and unmodified molecules, and only unmodified tRNA(Asp) has significantly higher percentage of stacking time. Overall, the simulations reveal that the effect of covalent modification on tRNA dynamics is not simple, with modifications increasing flexibility in some regions of the structure and increasing rigidity in other regions.

Conformational preferences of modified uridines: comparison of AMBER derived force fields

The widespread occurrence of modified residues in RNA sequences necessitates development of accurate parameters for these modifications for reliable modeling of RNA structure and dynamics. A comprehensive set of parameters for the 107 naturally occurring RNA modifications was proposed by Aduri et al. (J. Chem. Theory Comput. 2007, 3, 1464-1475) for the AMBER FF99 force field. In this work, we tested these parameters on a set of modified uridine residues, namely, dihydrouridine, 2-thiouridine, 4-thiouridine, pseudouridine, and uridine-5-oxyacetic acid, by performing molecular dynamics and replica exchange molecular dynamics simulations of these nucleosides. Although our simulations using the FF99 force field did not, in general, reproduce the experimentally observed conformational characteristics well, combination of the parameter set with recent revisions of the FF99 force field for RNA showed noticeable improvement for some of the nucleosides.

The Amber ff99 Force Field Predicts Relative Free Energy Changes for RNA Helix Formation

The ability of the Amber ff99 force field to predict relative free energies of RNA helix formation was investigated. The test systems were three hexaloop RNA hairpins with identical loops and varying stems. The potential of mean force of stretching the hairpins from the native state to an extended conformation was calculated with umbrella sampling. Because the hairpins have identical loop sequence, the differences in free energy changes are only from the stem composition. The Amber ff99 force field was able to correctly predict the order of stabilities of the hairpins, although the magnitude of the free energy change is larger than that determined by optical melting experiments. The two measurements cannot be compared directly because the unfolded state in the optical melting experiments is a random coil, while the end state in the umbrella sampling simulations was an elongated chain. The calculations can be compared to reference data by using a thermodynamic cycle. By applying the thermodynamic cycle to the transitions between the hairpins using simulations and nearest neighbor data, agreement was found to be within the sampling error of simulations, thus demonstrating that ff99 force field is able to accurately predict relative free energies of RNA helix formation.

tRNA stabilization by modified nucleotides

Post-transcriptional ribonucleotide modification is a phenomenon best studied in tRNA, where it occurs most frequently and in great chemical diversity. This paper reviews the intrinsic network of modifications in the structural core of the tRNA, which governs structural flexibility and rigidity to fine-tune the molecule to peak performance and to regulate its steady-state level. Structural effects of RNA modifications range from nanometer-scale rearrangements to subtle restrictions of conformational space on the angstrom scale. Structural stabilization resulting from nucleotide modification results in increased thermal stability and translates into protection against unspecific degradation by bases and nucleases. Several mechanisms of specific degradation of hypomodified tRNA, which were only recently discovered, provide a link between structural and metabolic stability.

Experimental and computational determination of tRNA dynamics

As the molecular representation of the genetic code, tRNA plays a central role in the translational machinery where it interacts with several proteins and other RNAs during the course of protein synthesis. These interactions exploit the dynamic flexibility of tRNA. In this minireview, we discuss the effects of modified bases, ions, and proteins on tRNA structure and dynamics and the challenges of observing its motions over the cycle of translation.

Nucleic acid folding determined by mesoscale modeling and NMR spectroscopy: solution structure of d(GCGAAAGC)

Determination of DNA solution structure is a difficult task even with the high-sensitivity method used here based on simulated annealing with 35 restraints/residue (Cryoprobe 750 MHz NMR). The conformations of both the phosphodiester linkages and the dinucleotide segment encompassing the sharp turn in single-stranded DNA are often underdetermined. To obtain higher quality structures of a DNA GNRA loop, 5'-d(GCGAAAGC)-3', we have used a mesoscopic molecular modeling approach, called Biopolymer Chain Elasticity (BCE), to provide reference conformations. By construction, these models are the least deformed hairpin loop conformation derived from canonical B-DNA at the nucleotide level. We have further explored this molecular conformation at the torsion angle level with AMBER molecular mechanics using different possible (epsilon,zeta) constraints to interpret the 31P NMR data. This combined approach yields a more accurate molecular conformation, compatible with all the NMR data, than each method taken separately, NMR/DYANA or BCE/AMBER. In agreement with the principle of minimal deformation of the backbone, the hairpin motif is stabilized by maximal base-stacking interactions on both the 5'- and 3'-sides and by a sheared G.A mismatch base pair between the first and last loop nucleotides. The sharp turn is located between the third and fourth loop nucleotides, and only two torsion angles beta6 and gamma6 deviate strongly with respect to canonical B-DNA structure. Two other torsion angle pairs epsilon3,zeta3 and epsilon5,zeta5 exhibit the newly recognized stable conformation BIIzeta+ (-70 degrees, 140 degrees). This combined approach has proven to be useful for the interpretation of an unusual 31P chemical shift in the 5'-d(GCGAAAGC)-3' hairpin.

Dynamics of tRNA at different levels of hydration

The influence of hydration on the nanosecond timescale dynamics of tRNA is investigated using neutron scattering spectroscopy. Unlike protein dynamics, the dynamics of tRNA is not affected by methyl group rotation. This allows for a simpler analysis of the influence of hydration on the conformational motions in RNA. We find that hydration affects the dynamics of tRNA significantly more than that of lysozyme. Both the characteristic length scale and the timescale of the conformational motions in tRNA depend strongly on hydration. Even the characteristic temperature of the so-called "dynamical transition" appears to be hydration-dependent in tRNA. The amplitude of the conformational motions in fully hydrated tRNA is almost twice as large as in hydrated lysozyme. We ascribe these differences to a more open and flexible structure of hydrated RNA, and to a larger fraction and different nature of hydrophilic sites. The latter leads to a higher density of water that makes the biomolecule more flexible. All-atom molecular-dynamics simulations are used to show that the extent of hydration is greater in tRNA than in lysozyme. We propose that water acts as a "lubricant" in facilitating enhanced motion in solvated RNA molecules.

Constraint counting on RNA structures: linking flexibility and function

RNA structures are highly flexible biomolecules that can undergo dramatic conformational changes required to fulfill their diverse functional roles. Constraint counting on a topological network representation of an RNA structure can provide very efficiently detailed insights into the intrinsic flexibility characteristics of the biomolecule. In the network, vertices represent atoms and edges represent covalent and strong non-covalent bonds and angle constraints. Initially, the method has been successfully applied to identify rigid and flexible regions in proteins. Here, we present recent progress in extending the approach to RNA structures. As a case study, we analyze stability characteristics of the ribosomal exit tunnel and relate these findings to the tunnel's active role in co-translational processes.

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.

Analyzing the flexibility of RNA structures by constraint counting

RNA requires conformational dynamics to undergo its diverse functional roles. Here, a new topological network representation of RNA structures is presented that allows analyzing RNA flexibility/rigidity based on constraint counting. The method extends the FIRST approach, which identifies flexible and rigid regions in atomic detail in a single, static, three-dimensional molecular framework. Initially, the network rigidity of a canonical A-form RNA is analyzed by counting on constraints of network elements of increasing size. These considerations demonstrate that it is the inclusion of hydrophobic contacts into the RNA topological network that is crucial for an accurate flexibility prediction. The counting also explains why a protein-based parameterization results in overly rigid RNA structures. The new network representation is then validated on a tRNA(ASP) structure and all NMR-derived ensembles of RNA structures currently available in the Protein Data Bank (with chain length >/=40). The flexibility predictions demonstrate good agreement with experimental mobility data, and the results are superior compared to predictions based on two previously used network representations. Encouragingly, this holds for flexibility predictions as well as mobility predictions obtained by constrained geometric simulations on these networks. Potential applications of the approach to analyzing the flexibility of DNA and RNA/protein complexes are discussed.

Dynamics of Recognition between tRNA and elongation factor Tu

Elongation factor Tu (EF-Tu) binds to all standard aminoacyl transfer RNAs (aa-tRNAs) and transports them to the ribosome while protecting the ester linkage between the tRNA and its cognate amino acid. We use molecular dynamics simulations to investigate the dynamics of the EF-Tu.guanosine 5'-triphosphate.aa-tRNA(Cys) complex and the roles played by Mg2+ ions and modified nucleosides on the free energy of protein.RNA binding. Individual modified nucleosides have pronounced effects on the structural dynamics of tRNA and the EF-Tu.Cys-tRNA(Cys) interface. Combined energetic and evolutionary analyses identify the coevolution of residues in EF-Tu and aa-tRNAs at the binding interface. Highly conserved EF-Tu residues are responsible for both attracting aa-tRNAs as well as providing nearby nonbonded repulsive energies that help fine-tune molecular attraction at the binding interface. In addition to the 3' CCA end, highly conserved tRNA nucleotides G1, G52, G53, and U54 contribute significantly to EF-Tu binding energies. Modification of U54 to thymine affects the structure of the tRNA common loop resulting in a change in binding interface contacts. In addition, other nucleotides, conserved within certain tRNA specificities, may be responsible for tuning aa-tRNA binding to EF-Tu. The trend in EF-Tu.Cys-tRNA(Cys) binding energies observed as the result of mutating the tRNA agrees with experimental observation. We also predict variations in binding free energies upon misacylation of tRNA(Cys) with d-cysteine or O-phosphoserine and upon changing the protonation state of l-cysteine. Principal components analysis in each case reveals changes in the communication network across the protein.tRNA interface and is the basis for the entropy calculations.

Ion atmosphere around nucleic acid

The poyion-ion preferential interaction coefficient Gamma describes the exclusion of coions and accumulations of counterions in the vicinity of a polyion in an aqueous solution. We give tight upper and lower bounds for Gamma when the polyion can be modeled by a cylinder of infinite length but of arbitrary charge density. This case can be used as a model for long strands of DNA or RNA in an aqueous solution containing univalent cations. The salt dependence of Gamma is predicted from low to intermediate and high salt concentrations. We also indicate how the bounds for the infinite polyion can be exploited to place bounds for polyions of length greater than a constant on the order of the inverse Debye screening length.

Molecular dynamics simulations of RNA: an in silico single molecule approach

RNA molecules are now known to be involved in the processing of genetic information at all levels, taking on a wide variety of central roles in the cell. Understanding how RNA molecules carry out their biological functions will require an understanding of structure and dynamics at the atomistic level, which can be significantly improved by combining computational simulation with experiment. This review provides a critical survey of the state of molecular dynamics (MD) simulations of RNA, including a discussion of important current limitations of the technique and examples of its successful application. Several types of simulations are discussed in detail, including those of structured RNA molecules and their interactions with the surrounding solvent and ions, catalytic RNAs, and RNA-small molecule and RNA-protein complexes. Increased cooperation between theorists and experimentalists will allow expanded judicious use of MD simulations to complement conceptually related single molecule experiments. Such cooperation will open the door to a fundamental understanding of the structure-function relationships in diverse and complex RNA molecules. .

High performance computing in biology: multimillion atom simulations of nanoscale systems

Computational methods have been used in biology for sequence analysis (bioinformatics), all-atom simulation (molecular dynamics and quantum calculations), and more recently for modeling biological networks (systems biology). Of these three techniques, all-atom simulation is currently the most computationally demanding, in terms of compute load, communication speed, and memory load. Breakthroughs in electrostatic force calculation and dynamic load balancing have enabled molecular dynamics simulations of large biomolecular complexes. Here, we report simulation results for the ribosome, using approximately 2.64 million atoms, the largest all-atom biomolecular simulation published to date. Several other nano-scale systems with different numbers of atoms were studied to measure the performance of the NAMD molecular dynamics simulation program on the Los Alamos National Laboratory Q Machine. We demonstrate that multimillion atom systems represent a 'sweet spot' for the NAMD code on large supercomputers. NAMD displays an unprecedented 85% parallel scaling efficiency for the ribosome system on 1024 CPUs. We also review recent targeted molecular dynamics simulations of the ribosome that prove useful for studying conformational changes of this large biomolecular complex in atomic detail.

Mechanism of the difference in the binding affinity of E. coli tRNAGln to glutaminyl-tRNA synthetase caused by noninterface nucleotides in variable loop

Aminoacyl-tRNA synthetases (ARSs) distinguish their cognate tRNAs from many other kinds of tRNAs, despite the very similar tertiary structures of tRNAs. Many researchers have supported the view that this recognition is achieved by intermolecular interactions between tRNA and ARS. However, one of the aptamers of Escherichia coli glutamine specific tRNA, var-AGGU, has a higher affinity to ARS than the wild-type, although the sequence difference only lies in the variable loop located on the opposite side of the binding interface with ARS. To understand the reason for the difference in affinity, we did molecular dynamics simulations on tRNAs and their complexes with ARS. We calculated the enthalpic and entropic contributions to the binding free energy with the molecular mechanics-Poisson-Boltzmann/surface area method and found that the entropic difference plays an important role in the difference in binding free energies. During the molecular dynamics simulations, dynamic rearrangements of hydrogen bonds occurred in the tertiary core region of the wild-type tRNA, whereas they were not observed in the free var-AGGU simulation. Since the internal mobility was suppressed upon complex formation with ARS, the entropy loss in the wild-type was larger than that of the aptamer. We therefore concluded that the sequence difference in the variable loop caused the difference in the internal mobility of the tertiary core region tRNAs and led to the difference in the affinity to ARS through the entropy term.

Crystal Structure of a 70S Ribosome-tRNA Complex Reveals Functional Interactions and Rearrangements

Our understanding of the mechanism of protein synthesis has undergone rapid progress in recent years as a result of low-resolution X-ray and cryo-EM structures of ribosome functional complexes and high-resolution structures of ribosomal subunits and vacant ribosomes. Here, we present the crystal structure of the Thermus thermophilus 70S ribosome containing a model mRNA and two tRNAs at 3.7 A resolution. Many structural details of the interactions between the ribosome, tRNA, and mRNA in the P and E sites and the ways in which tRNA structure is distorted by its interactions with the ribosome are seen. Differences between the conformations of vacant and tRNA-bound 70S ribosomes suggest an induced fit of the ribosome structure in response to tRNA binding, including significant changes in the peptidyl-transferase catalytic site.

Simulating movement of tRNA into the ribosome during decoding

Decoding is the key step during protein synthesis that enables information transfer from RNA to protein, a process critical for the survival of all organisms. We have used large-scale (2.64 x 10(6) atoms) all-atom simulations of the entire ribosome to understand a critical step of decoding. Although the decoding problem has been studied for more than four decades, the rate-limiting step of cognate tRNA selection has only recently been identified. This step, known as accommodation, involves the movement inside the ribosome of the aminoacyl-tRNA from the partially bound "A/T" state to the fully bound "A/A" state. Here, we show that a corridor of 20 universally conserved ribosomal RNA bases interacts with the tRNA during the accommodation movement. Surprisingly, the tRNA is impeded by the A-loop (23S helix 92), instead of enjoying a smooth transition to the A/A state. In particular, universally conserved 23S ribosomal RNA bases U2492, C2556, and C2573 act as a 3D gate, causing the acceptor stem to pause before allowing entrance into the peptidyl transferase center. Our simulations demonstrate that the flexibility of the acceptor stem of the tRNA, in addition to flexibility of the anticodon arm, is essential for tRNA selection. This study serves as a template for simulating conformational changes in large (>10(6) atoms) biological and artificial molecular machines.

Structural dynamics of precursor and product of the RNA enzyme from the hepatitis delta virus as revealed by molecular dynamics simulations

The hepatitis delta virus (HDV) ribozyme is a self-cleaving RNA enzyme involved in the replication of a human pathogen, the hepatitis delta virus. Recent crystal structures of the precursor and product of self-cleavage, together with detailed kinetic analyses, have led to hypotheses on the catalytic strategies employed by the HDV ribozyme. We report molecular dynamics (MD) simulations (approximately 120 ns total simulation time) to test the plausibility that specific conformational rearrangements are involved in catalysis. Site-specific self-cleavage requires cytidine in position 75 (C75). A precursor simulation with unprotonated C75 reveals a rather weak dynamic binding of C75 in the catalytic pocket with spontaneous, transient formation of a H-bond between U-1(O2') and C75(N3). This H-bond would be required for C75 to act as the general base. Upon protonation in the precursor, C75H+ has a tendency to move towards its product location and establish a firm H-bonding network within the catalytic pocket. However, a C75H+(N3)-G1(O5') H-bond, which would be expected if C75 acted as a general acid catalyst, is not observed on the present simulation timescale. The adjacent loop L3 is relatively dynamic and may serve as a flexible structural element, possibly gated by the closing U20.G25 base-pair, to facilitate a conformational switch induced by a protonated C75H+. L3 also controls the electrostatic environment of the catalytic core, which in turn may modulate C75 base strength and metal ion binding. We find that a distant RNA tertiary interaction involving a protonated cytidine (C41) becomes unstable when left unprotonated, leading to disruptive conformational rearrangements adjacent to the catalytic core. A Na ion temporarily compensates for the loss of the protonated hydrogen bond, which is strikingly consistent with the experimentally observed synergy between low pH and high Na+ concentrations in mediating residual self-cleavage of the HDV ribozyme in the absence of divalents.

Loss of G-A base pairs is insufficient for achieving a large opening of U4 snRNA K-turn motif

Upon binding to the 15.5K protein, two tandem-sheared G–A base pairs are formed in the internal loop of the kink-turn motif of U4 snRNA (Kt-U4). We have reported that the folding of Kt-U4 is assisted by protein binding. Unstable interactions that contribute to a large opening of the free RNA (‘k–e motion’) were identified using locally enhanced sampling molecular dynamics simulations, results that agree with experiments. A detailed analysis of the simulations reveals that the k–e motion in Kt-U4 is triggered both by loss of G–A base pairs in the internal loop and backbone flexibility in the stems. Essential dynamics show that the loss of G–A base pairs is correlated along the first mode but anti-correlated along the third mode with the k–e motion. Moreover, when enhanced sampling was confined to the internal loop, the RNA adopted an alternative conformation characterized by a sharper kink, opening of G–A base pairs and modified stacking interactions. Thus, loss of G–A base pairs is insufficient for achieving a large opening of the free RNA. These findings, supported by previously published RNA structure probing experiments, suggest that G–A base pair formation occurs upon protein binding, thereby stabilizing a selective orientation of the stems.

Dynamic behavior of the telomerase RNA hairpin structure and its relationship to dyskeratosis congenita

In this paper, we present the results from a comprehensive study of nanosecond-scale implicit and explicit solvent molecular dynamics simulations of the wild-type telomerase RNA hairpin. The effects of various mutations on telomerase RNA dynamics are also investigated. Overall, we found that the human telomerase hairpin is a very flexible molecule. In particular, periodically the molecule exhibits dramatic structural fluctuations represented by the opening and closing of a non-canonical base-pair region. These structural deviations correspond to significant disruptions of the direct hydrogen bonding network in the helix, widening of the major groove of the hairpin structure, and causing several U and C nucleotides to protrude into the major groove from the helix permitting them to hydrogen bond with, for example, the P3 domain of the telomerase RNA. We suggest that these structural fluctuations expose a nucleation point for pseudoknot formation. We also found that mutations in the pentaloop and non-canonical region stabilize the hairpin. Moreover, our results show that the hairpin with dyskeratosis congenita mutations is more stable and less flexible than the wild-type hairpin due to base stacking in the pentaloop. The results from our molecular dynamics simulations are in agreement with experimental observations. In addition, they suggest a possible mechanism for pseudoknot formation based on the dynamics of the hairpin structure and also may explain the mutational aspects of dyskeratosis congenita.

Hinge-like motions in RNA kink-turns: the role of the second a-minor motif and nominally unpaired bases

Kink-turn (K-turn) motifs are asymmetric internal loops found at conserved positions in diverse RNAs, with sharp bends in phosphodiester backbones producing V-shaped structures. Explicit-solvent molecular dynamics simulations were carried out for three K-turns from 23S rRNA, i.e., Kt-38 located at the base of the A-site finger, Kt-42 located at the base of the L7/L12 stalk, and Kt-58 located in domain III, and for the K-turn of human U4 snRNA. The simulations reveal hinge-like K-turn motions on the nanosecond timescale. The first conserved A-minor interaction between the K-turn stems is entirely stable in all simulations. The angle between the helical arms of Kt-38 and Kt-42 is regulated by local variations of the second A-minor (type I) interaction between the stems. Its variability ranges from closed geometries to open ones stabilized by insertion of long-residency waters between adenine and cytosine. The simulated A-minor geometries fully agree with x-ray data. Kt-58 and Kt-U4 exhibit similar elbow-like motions caused by conformational change of the adenosine from the nominally unpaired region. Despite the observed substantial dynamics of K-turns, key tertiary interactions are stable and no sign of unfolding is seen. We suggest that some K-turns are flexible elements mediating large-scale ribosomal motions during the protein synthesis cycle.

Molecular dynamics simulations of RNA kissing-loop motifs reveal structural dynamics and formation of cation-binding pockets

Explicit solvent molecular dynamics (MD) simulations were carried out for three RNA kissing-loop complexes. The theoretical structure of two base pairs (2 bp) complex of H3 stem-loop of Moloney murine leukemia virus agrees with the NMR structure with modest violations of few NMR restraints comparable to violations present in the NMR structure. In contrast to the NMR structure, however, MD shows relaxed intermolecular G-C base pairs. The core region of the kissing complex forms a cation-binding pocket with highly negative electrostatic potential. The pocket shows nanosecond-scale breathing motions coupled with oscillations of the whole molecule. Additional simulations were carried out for 6 bp kissing complexes of the DIS HIV-1 subtypes A and B. The simulated structures agree well with the X-ray data. The subtype B forms a novel four-base stack of bulged-out adenines. Both 6 bp kissing complexes have extended cation-binding pockets in their central parts. While the pocket of subtype A interacts with two hexacoordinated Mg2+ ions and one sodium ion, pocket of subtype B is filled with a string of three delocalized Na+ ions with residency times of individual cations 1-2 ns. The 6 bp complexes show breathing motions of the cation-binding pockets and loop major grooves.

Enhanced sampling by multiple molecular dynamics trajectories: carbonmonoxy myoglobin 10 μs A0 → A1–3 transition from ten 400 picosecond simulations

The utility of multiple trajectories to extend the time scale of molecular dynamics simulations is reported for the spectroscopic A-states of carbonmonoxy myoglobin (MbCO). Experimentally, the A0-->A(1-3) transition has been observed to be 10 micros at 300 K, which is beyond the time scale of standard molecular dynamics simulations. To simulate this transition, 10 short (400 ps) and two longer time (1.2 ns) molecular dynamics trajectories, starting from five different crystallographic and solution phase structures with random initial velocities centered in a 37 A radius sphere of water, have been used to sample the native-fold of MbCO. Analysis of the ensemble of structures gathered over the cumulative 5.6 ns reveals two biomolecular motions involving the side chains of His64 and Arg45 to explain the spectroscopic states of MbCO. The 10 micros A0-->A(1-3) transition involves the motion of His64, where distance between His64 and CO is found to vary up to 8.8 +/- 1.0 A during the transition of His64 from the ligand (A(1-3)) to bulk solvent (A0). The His64 motion occurs within a single trajectory only once, however the multiple trajectories populate the spectroscopic A-states fully. Consequently, multiple independent molecular dynamics simulations have been found to extend biomolecular motion from 5 ns of total simulation to experimental phenomena on the microsecond time scale.

DNA tri- and tetra-loops and RNA tetra-loops hairpins fold as elastic biopolymer chains in agreement with PDB coordinates

The biopolymer chain elasticity (BCE) approach and the new molecular modelling methodology presented previously are used to predict the tri- dimensional backbones of DNA and RNA hairpin loops. The structures of eight remarkably stable DNA or RNA hairpin molecules closed by a mispair, recently determined in solution by NMR and deposited in the PDB, are shown to verify the predicted trajectories by an analysis automated for large numbers of PDB conformations. They encompass: one DNA tetraloop, -GTTA-; three DNA triloops, -AAA- or -GCA-; and four RNA tetraloops, -UUCG-. Folding generates no distortions and bond lengths and bond angles of main atoms of the sugar-phosphate backbone are well restored upon energy refinement. Three different methods (superpositions, distance of main chain atoms to the elastic line and RMSd) are used to show a very good agreement between the trajectories of sugar-phosphate backbones and between entire molecules of theoretical models and of PDB conformations. The geometry of end conditions imposed by the stem is sufficient to dictate the different characteristic DNA or RNA folding shapes. The reduced angular space, consisting of the new parameter, angle Omega, together with the chi angle offers a simple, coherent and quantitative description of hairpin loops.

Biopolymer Chain Elasticity: A novel concept and a least deformation energy principle predicts backbone and overall folding of DNA TTT hairpins in agreement with NMR distances

A new molecular modelling methodology is presented and shown to apply to all published solution structures of DNA hairpins with TTT in the loop. It is based on the theory of elasticity of thin rods and on the assumption that single-stranded B-DNA behaves as a continuous, unshearable, unstretchable and flexible thin rod. It requires four construction steps: (i) computation of the tri-dimensional trajectory of the elastic line, (ii) global deformation of single-stranded helical DNA onto the elastic line, (iii) optimisation of the nucleoside rotations about the elastic line, (iv) energy minimisation to restore backbone bond lengths and bond angles. This theoretical approach called 'Biopolymer Chain Elasticity' (BCE) is capable of reproducing the tri-dimensional course of the sugar-phosphate chain and, using NMR-derived distances, of reproducing models close to published solution structures. This is shown by computing three different types of distance criteria. The natural description provided by the elastic line and by the new parameter, Omega, which corresponds to the rotation angles of nucleosides about the elastic line, offers a considerable simplification of molecular modelling of hairpin loops. They can be varied independently from each other, since the global shape of the hairpin loop is preserved in all cases.

Simulations of nucleic acids and their complexes

Recent years have seen considerable progress in simulations of nucleic acids. Improvements in force fields, simulation techniques and protocols, and increasing computer power have all contributed to making nanosecond-scale simulations of both DNA and RNA commonplace. The results are already helping to explain how nucleic acids respond to their environment and to their base sequence and to reveal the factors underlying recognition processes by probing biologically important nucleic acid-protein interactions and medically important nucleic acid-drug complexation. This Account summarizes methodological progress and applications of molecular dynamics to nucleic acids over the past few years and tries to identify remaining challenges.

Molecular dynamics applied to nucleic acids

In this Account, we focus on molecular dynamics (MD) simulations involving fully solvated nucleic acids. Historically, MD simulations were first applied to proteins and several years later to nucleic acids. The first MD simulations of DNA were carried out in vacuo, but nowadays fully solvated systems are common practice. Recently, technical improvements have made it possible to conduct accurate MD simulations of highly charged nucleic acids. The state-of-the-art of MD simulations and a number of applications on various nucleic acid systems are discussed.

Molecular dynamics simulation of nucleic acids: successes, limitations, and promise

In the last five years we have witnessed a significant increase in the number publications describing accurate and reliable all-atom molecular dynamics simulations of nucleic acids. This increase has been facilitated by the development of fast and efficient methods for treating the long-range electrostatic interactions, the availability of faster parallel computers, and the development of well-validated empirical molecular mechanical force fields. With these technologies, it has been demonstrated that simulation is not only capable of consistently reproducing experimental observations of sequence specific fine structure of DNA, but also can give detailed insight into prevalent problems in nucleic acid structure, ion association and specific hydration of nucleic acids, polyadenine tract bending, and the subtle environmental dependence of the A-DNA-B-DNA duplex equilibrium. Despite the advances, there are still issues with the methods that need to be resolved through rigorous controlled testing. In general, these relate to deficiencies of the underlying molecular mechanical potentials or applied methods (such as the imposition of true periodicity in Ewald simulations and the need for energy conservation), and significant limits in effective conformational sampling. In this perspective, we provide an overview of our experiences, provide some cautionary notes, and provide recommendations for further study in molecular dynamics simulation of nucleic acids.

Molecular dynamics of the frame-shifting pseudoknot from beet western yellows virus: the role of non-Watson-Crick base-pairing, ordered hydration, cation binding and base mutations on stability and unfolding

Molecular dynamics simulations of the frame-shifting pseudoknot from beet western yellows virus (BWYV, NDB file UR0004) were performed with explicit inclusion of solvent and counterions. In all, 33 ns of simulation were carried out, including 10 ns of the native structure with protonation of the crucial cytosine residue, C8(N3+). The native structure exhibited stable trajectories retaining all Watson-Crick and tertiary base-pairs, except for fluctuations or transient disruptions at specific sites. The most significant fluctuations involved the change or disruption of hydrogen-bonding between C8(N3+) and bases G12, A25, and C26, as well as disruption of the water bridges linking C8(N3+) with A25 and C26. To increase sampling of rare events, the native simulation was continued at 400 K. A partial, irreversible unfolding of the molecule was initiated by slippage of C8(N3+) relative to G12 and continued by sudden concerted changes in hydrogen-bonding involving A23, A24, and A25. These events were followed by a gradual loss of stacking interactions in loop 2. Of the Watson-Crick base-pairs, only the 5'-terminal pair of stem 1 dissociated at 400 K, while the trans sugar-edge/sugar-edge A20.G4 interaction remained surprisingly stable. Four additional room-temperature simulations were carried out to obtain insights into the structural and dynamic effects of selected mutations. In two of these, C8 was left unprotonated. Considerable local rearrangements occurred that were not observed in the crystal structure, thus confirming N3-protonation of C8 in the native molecule. We also investigated the effect of mutating C8(N3+) to U8, to correlate with experimental and phylogenetic studies, and of changing the G4 x C17 base-pair to A4 x U17 to weaken the trans sugar-edge interaction between positions 4 and 20 and to test models of unfolding. The simulations indicate that the C8 x G12 x C26 base-triple at the junction is the most labile region of the frame-shifting pseudoknot. They provide insights into the roles of the other non-Watson-Crick base-pairs in the early stages of unfolding of the pseudoknot, which must occur to allow readthrough of the message by the ribosome. The simulations revealed several critical, highly ordered hydration sites with close to 100 % occupancies and residency times of individual water molecules of up to 5 ns. Sodium cation coordination sites with occupancies above 50 % were also observed.

Molecular dynamics simulation of nucleic acids

We review molecular dynamics simulations of nucleic acids, including those completed from 1995 to 2000, with a focus on the applications and results rather than the methods. After the introduction, which discusses recent advances in the simulation of nucleic acids in solution, we describe force fields for nucleic acids and then provide a detailed summary of the published literature. We emphasize simulations of small nucleic acids ( approximately 6 to 24 mer) in explicit solvent with counterions, using reliable force fields and modern simulation protocols that properly represent the long-range electrostatic interactions. We also provide some limited discussion of simulation in the absence of explicit solvent. Absent from this discussion are results from simulations of protein-nucleic acid complexes and modified DNA analogs. Highlights from the molecular dynamics simulation are the spontaneous observation of A B transitions in duplex DNA in response to the environment, specific ion binding and hydration, and reliable representation of protein-nucleic acid interactions. We close by examining major issues and the future promise for these methods.

Water and ion binding around r(UpA)12 and d(TpA)12 oligomers--comparison with RNA and DNA (CpG)12 duplexes

The structural and dynamic properties of the water and ion first coordination shell of the r(A-U) and d(A-T) base-pairs embedded within the r(UpA)12 and d(TpA)12 duplexes are described on the basis of two 2.4 ns molecular dynamics simulations performed in a neutralizing aqueous environment with 0.25 M added KCl. The results are compared to previous molecular dynamics simulations of the r(CpG)12 and d(CpG)12 structures performed under similar conditions. It can be concluded that: (i) RNA helices are more rigid than DNA helices of identical sequence, as reflected by the fact that RNA duplexes keep their initial A-form shape while DNA duplexes adopt more sequence-specific shapes. (ii) Around these base-pairs, the water molecules occupy 21 to 22 well-defined hydration sites, some of which are partially occupied by potassium ions. (iii) These hydration sites are occupied by an average of 21.9, 21.0, 20.1, and 19.8 solvent molecules (water and ions) around the r(G=C), r(A-U), d(G=C), and d(A-T) pairs, respectively. (iv) From a dynamic point of view, the stability of the hydration shell is the strongest for the r(G=C) pairs and the weakest for the d(A-T) pairs. (v) For RNA, the observed long-lived hydration patterns are essentially non-sequence dependent and involve water bridges located in the deep groove and linking OR atoms of adjacent phosphate groups. Maximum lifetimes are close to 400 ps. (vi) In contrast, for DNA, long-lived hydration patterns are sequence dependent and located in the minor groove. For d(CpG)12, water bridges linking the (G)N3 and (C)O2 with the O4' atoms of adjacent nucleotides with 400 ps maximum lifetimes are characterized while no such bridges are observed for d(TpA)12. (vii) Potassium ions are observed to bind preferentially to deep/major groove atoms at RpY steps, essentially d(GpC), r(GpC), and r(ApU), by forming ion-bridges between electronegative atoms of adjacent base-pairs. On average, about half an ion is observed per base-pair. Positive ion-binding determinants are related to the proximity of two or more electronegative atoms. Negative binding determinants are associated with the electrostatic and steric hindrance due to the proximity of electropositive amino groups and neutral methyl groups. Potassium ions form only transient contacts with phosphate groups.

A molecular dynamics simulation study of coaxial stacking in RNA

We report on unrestrained molecular dynamics simulations of an RNA tetramer binding to a tetra-nucleotide overhang at the 5'-end of an RNA hairpin (nicked structure) and of the corresponding continuous hairpin with Na+ as counterions. The simulations lead to stable structures and in this way a structural model for the coaxially stacked RNA hairpin is generated. The stacking interface in the coaxially stacked nicked hairpin structure is characterized by a reduced twist and shift and a slightly increased propeller twist as compared to the continuous system. This leads to an increased overlap between C22 and G23 in the stacking interface of the nicked structure. In the simulations the continuous RNA hairpin has an almost straight helical axis. On the other hand, the corresponding axis for the nicked structure exhibits a marked kink of 39 degrees. The stacking interface exhibits no increased flexibility as compared to the corresponding base pair step in the continuous structure.