Electrostatic interactions in the hairpin ribozyme account for the majority of the rate acceleration without chemical participation by nucleobases

Simulation-Guided Conformational Space Exploration to Assess Reactive Conformations of a Ribozyme

Self-splicing ribozymes are small ribonucleic acid (RNA) enzymes that catalyze their own cleavage through a transphosphoesterification reaction. While this process is involved in some specific steps of viral RNA replication and splicing, it is also of importance in the context of the (putative) first autocatalytic RNA-based systems that could have preceded the emergence of modern life. The uncatalyzed phosphoester bond formation is thermodynamically very unfavorable, and many experimental studies have focused on understanding the molecular features of catalysis in these ribozymes. However, chemical reaction paths are short-lived and not easily characterized by experimental approaches, so molecular simulation approaches appear as an ideal tool to unveil the molecular details of the reaction. Here, we focus on the model hairpin ribozyme. We show that identifying a relevant initial conformation for reactivity studies, which is frequently overlooked in mixed quantum-classical studies that predominantly concentrate on the chemical reaction itself, can be highly challenging. These challenges stem from limitations in both available experimental structures (which are chemically altered to prevent self-cleavage) and the accuracy of force fields, together with the necessity for comprehensive sampling. We show that molecular dynamics simulations, combined with extensive conformational phase space exploration with Hamiltonian replica-exchange simulations, enable us to characterize the relevant conformational basins of the minimal hairpin ribozyme in the ligated state prior to self-cleavage. We find that what is usually considered a canonical reactive conformation with active site geometries and hydrogen-bond patterns that are optimal for the addition-elimination reaction with general acid/general base catalysis is metastable and only marginally populated. The thermodynamically stable conformation appears to be consistent with the expectations of a mechanism that does not require the direct participation of ribozyme residues in the reaction. While these observations may suffer from forcefield inaccuracies, all investigated forcefields lead to the same conclusions upon proper sampling, contrasting with previous investigations on shorter timescales suggesting that at least one reparametrization of the Amber99 forcefield allowed to stabilize aligned active site conformations. Our study demonstrates that identifying the most pertinent reactant state conformation holds equal importance alongside the accurate determination of the thermodynamics and kinetics of the chemical steps of the reaction.

Perspectives on Computational Enzyme Modeling: From Mechanisms to Design and Drug Development

Understanding enzyme mechanisms is essential for unraveling the complex molecular machinery of life. In this review, we survey the field of computational enzymology, highlighting key principles governing enzyme mechanisms and discussing ongoing challenges and promising advances. Over the years, computer simulations have become indispensable in the study of enzyme mechanisms, with the integration of experimental and computational exploration now established as a holistic approach to gain deep insights into enzymatic catalysis. Numerous studies have demonstrated the power of computer simulations in characterizing reaction pathways, transition states, substrate selectivity, product distribution, and dynamic conformational changes for various enzymes. Nevertheless, significant challenges remain in investigating the mechanisms of complex multistep reactions, large-scale conformational changes, and allosteric regulation. Beyond mechanistic studies, computational enzyme modeling has emerged as an essential tool for computer-aided enzyme design and the rational discovery of covalent drugs for targeted therapies. Overall, enzyme design/engineering and covalent drug development can greatly benefit from our understanding of the detailed mechanisms of enzymes, such as protein dynamics, entropy contributions, and allostery, as revealed by computational studies. Such a convergence of different research approaches is expected to continue, creating synergies in enzyme research. This review, by outlining the ever-expanding field of enzyme research, aims to provide guidance for future research directions and facilitate new developments in this important and evolving field.

Free Energy Profile Decomposition Analysis for QM/MM Simulations of Enzymatic Reactions

In enzyme mechanistic studies and mutant design, it is highly desirable to know the individual residue contributions to the reaction free energy and barrier. In this work, we show that such free energy contributions from each residue can be readily obtained by postprocessing ab initio quantum mechanical molecular mechanical (ai-QM/MM) free energy simulation trajectories. Specifically, through a mean force integration along the minimum free energy pathway, one can obtain the electrostatic, polarization, and van der Waals contributions from each residue to the free energy barrier. Separately, a similar analysis procedure allows us to assess the contribution from different collective variables along the reaction coordinate. The chorismate mutase reaction is used to demonstrate the utilization of these two trajectory analysis tools.

Investigation of the pKa of the Nucleophilic O2' of the Hairpin Ribozyme

Small ribozymes cleave their RNA phosphodiester backbone by catalyzing a transphosphorylation reaction wherein a specific O2' functions as the nucleophile. While deprotonation of this alcohol through its acidification would increase its nucleophilicity, little is known about the pK_a of this O2' in small ribozymes, in part because high pK_a's are not readily accessible experimentally. Herein, we turn to molecular dynamics to calculate the pK_a of the nucleophilic O2' in the hairpin ribozyme and to study interactions within the active site that may impact its value. We estimate the pK_a of the nucleophilic O2' in the wild-type hairpin ribozyme to be 18.5 ± 0.8, which is higher than the reference compound, and identify a correlation between proper positioning of the O2' for nucleophilic attack and elevation of its pK_a. We find that monovalent ions may play a role in depression of the O2' pK_a, while the exocyclic amine appears to be important for organizing the ribozyme active site. Overall, this study suggests that the pK_a of the O2' is raised in the ground state and lowers during the course of the reaction owing to positioning and metal ion interactions.

Deciphering the Self-Cleavage Reaction Mechanism of Hairpin Ribozyme

Hairpin ribozyme catalyzes the reversible self-cleavage of phosphodiester bonds which plays prominent roles in key biological processes involving RNAs. Despite impressive advances on ribozymatic self-cleavage, critical aspects of its molecular reaction mechanism remain controversially debated. Here, we generate and analyze the multidimensional free energy landscape that underlies the reaction using extensive QM/MM metadynamics simulations to investigate in detail the full self-cleavage mechanism. This allows us to answer several pertinent yet controversial questions concerning activation of the 2'-OH group, the mechanistic role of water molecules present in the active site, and the full reaction pathway including the structures of transition states and intermediates. Importantly, we find that a sufficiently unrestricted reaction subspace must be mapped using accelerated sampling methods in order to compute the underlying free energy landscape. It is shown that lower-dimensional sampling where the bond formation and cleavage steps are coupled does not allow the system to sufficiently explore the landscape. On the basis of a three-dimensional free energy surface spanned by flexible generalized coordinates, we find that 2'-OH is indirectly activated by adjacent G8 nucleobase in conjunction with stabilizing H-bonding involving water. This allows the proton of the 2'-OH group to directly migrate toward the 5'-leaving group via a nonbridging oxygen of the phosphodiester link. At variance with similar enzymatic processes where water wires connected to protonable side chains of the protein matrix act as transient proton shuttles, no such de/reprotonation events of water molecules are found to be involved in this ribozymatic transesterification. Overall, our results support an acid-catalyzed reaction mechanism where A38 nucleobase directly acts as an acid whereas G8, in stark contrast, participates only indirectly via stabilizing the nascent nucleophile for subsequent attack. Moreover, we conclude that self-cleavage of hairpin ribozyme follows an A_N + D_N two-step associative pathway where the rate-determining step is the cleavage of the phosphodiester bond. These results provide a major advancement in our understanding of the unique catalytic mechanism of hairpin ribozyme which will fruitfully impact on the design of synthetic ribozymes.

Flexible Binding of m6A Reader Protein YTHDC1 to Its Preferred RNA Motif

N⁶-Methyladenosine (m⁶A) is the most prevalent chemical modification in human mRNAs. Its recognition by reader proteins enables many cellular functions, including splicing and translation of mRNAs. However, the binding mechanisms of m⁶A-containing RNAs to their readers are still elusive due to the unclear roles of m⁶A-flanking ribonucleotides. Here, we use a model system, YTHDC1 with its RNA motif 5'-G_-2G_-1(m⁶A)C₊₁U₊₂-3', to investigate the binding mechanisms by atomistic simulations, X-ray crystallography, and isothermal titration calorimetry. The experimental data and simulation results show that m⁶A is captured by an aromatic cage of YTHDC1 and the 3' terminus nucleotides are stabilized by cation-π-π interactions, while the 5' terminus remains flexible. Notably, simulations of unbound RNA motifs reveal that the methyl group of m⁶A and the 5' terminus shift the conformational preferences of the oligoribonucleotide to the bound-like conformation, thereby facilitating the association process. The binding mechanisms may help in the discovery of chemical probes against m⁶A reader proteins.

Exploration of N5-CAIR Mutase Novel Inhibitors from Pyrococcus horikoshii OT3: A Computational Study

In bacterial and archaeal purine biosynthetic pathways, sixth step involves utilization of enzyme PurE, catalyzing the translation of aminoimidazole ribonucleotide to 4-carboxy-5-aminoimidazole ribonucleotide (CAIR) with carbon dioxide. The formation of CAIR takes place through an unstable intermediate N5-CAIR, played by two enzymes-N5-CAIR synthetase (PurK) and N5-CAIR mutase (PurE) that further catalyzes the reaction of N5-CAIR to CAIR. In this study, N5-CAIR mutase (PH0320) from Pyrococcus horikoshii OT3 (PurE) was considered. The three-dimensional structure of Pyrococcus horikoshii OT3 was modeled based on the structure of PurE from Escherichia coli. The modeled structure was subjected to molecular dynamics simulation up to 100 ns, and least energy structure from the simulation was subjected to virtual screening and induced fit docking to identify the best potent leads. A total of five best antagonists were identified based on their affinity and mode of binding leading with conserved residues Ser18, Ser20, Asp21, Ser45, Ala46, His47, Arg48, Ala72, Gly73, Ala75, and His77 promotes the activity of Ph-N5-CAIR mutase. In addition to molecular dynamics, absorption, digestion, metabolism, and excretion properties, binding free energy and density functional theory calculations of compounds were carried out. Based on analyses, compound from National Cancer Institute (NCI) database, NCI_826 was adjudged as the best potent lead molecule and could be suggested as the suitable inhibitor of N5-CAIR mutase.

Identification of Pak1 inhibitors using water thermodynamic analysis

p21-activated kinases (Paks) play an integral component in various cellular diverse processes. The full activation of Pak is dependent upon several serine residues present in the N-terminal region, a threonine present at the activation loop, and finally the phosphorylation of these residues ensure the complete activation of Pak1. The present study deals with the identification of novel potent candidates of Pak1 using computational methods as anti-cancer compounds. A diverse energy based pharmacophore (e-pharmacophore) was developed using four co-crystal inhibitors of Pak1 having pharmacophore features of 5 (DRDRR), 6 (DRHADR), and 7 (RRARDRP and DRRDADH) hypotheses. These models were used for rigorous screening against e-molecule database. The obtained hits were filtered using ADME/T and molecular docking to identify the high affinity binders. These hits were subjected to hierarchical clustering using dendritic fingerprint inorder to identify structurally diverse molecules. The diverse hits were scored against generated water maps to obtain WM/MM ΔG binding energy. Furthermore, molecular dynamics simulation and density functional theory calculations were performed on the final hits to understand the stability of the complexes. Five structurally diverse novel Pak1 inhibitors (4835785, 32198676, 32407813, 76038049, and 32945545) were obtained from virtual screening, water thermodynamics and WM/MM ΔG binding energy. All hits revealed similar mode of binding pattern with the hinge region residues replacing the unstable water molecules in the binding site. The obtained novel hits could be used as a platform to design potent drugs that could be experimentally tested against cancer patients having increased Pak1 expression.

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.

Phosphoryl Transfer Reaction in RNA: Is the Substrate-Assisted Catalysis a Possible Mechanism in Certain Solvents?

A proton shuttle mechanism for the phosphoryl transfer reaction in RNA, in which a proton is transferred from the nucleophile to the leaving group through a nonbridged oxygen atom of the phosphate, was explored using the MO6-2X density functional method and the solvent continuum model. This reaction is the initial step of the RNA hydrolysis. We used different solvents characterized by their dielectric constant, and, for each of them, we studied the nuclear and electronic relaxation, produced by the solvent reaction field, for the stationary points. Given that RNA has a poor leaving group, the bond breaking corresponds to the rate-determining step. If the O atom is substituted by a S atom, the leaving group is now good, and the rate-determining step is now the nucleophilic attack concerted with the proton transfer. The most relevant result we found is that none of the solvents we studied has a free energy of activation that is smaller than the one in water. This suggests that the enzyme catalysis following this mechanism must be due to the permanent electric field that is created by a preorganized charge distribution but not to the solvent reaction field.

Understanding in-line probing experiments by modeling cleavage of nonreactive RNA nucleotides

Ribonucleic acid (RNA) is involved in many regulatory and catalytic processes in the cell. The function of any RNA molecule is intimately related with its structure. In-line probing experiments provide valuable structural data sets for a variety of RNAs and are used to characterize conformational changes in riboswitches. However, the structural determinants that lead to differential reactivities in unpaired nucleotides have not been investigated yet. In this work, we used a combination of theoretical approaches, i.e., classical molecular dynamics simulations, multiscale quantum mechanical/molecular mechanical calculations, and enhanced sampling techniques in order to compute and interpret the differential reactivity of individual residues in several RNA motifs, including members of the most important GNRA and UNCG tetraloop families. Simulations on the multinanosecond timescale are required to converge the related free-energy landscapes. The results for uGAAAg and cUUCGg tetraloops and double helices are compared with available data from in-line probing experiments and show that the introduced technique is able to distinguish between nucleotides of the uGAAAg tetraloop based on their structural predispositions toward phosphodiester backbone cleavage. For the cUUCGg tetraloop, more advanced ab initio calculations would be required. This study is the first attempt to computationally classify chemical probing experiments and paves the way for an identification of tertiary structures based on the measured reactivity of nonreactive nucleotides.

Multiscale methods for computational RNA enzymology

RNA catalysis is of fundamental importance to biology and yet remains ill-understood due to its complex nature. The multidimensional "problem space" of RNA catalysis includes both local and global conformational rearrangements, changes in the ion atmosphere around nucleic acids and metal ion binding, dependence on potentially correlated protonation states of key residues, and bond breaking/forming in the chemical steps of the reaction. The goal of this chapter is to summarize and apply multiscale modeling methods in an effort to target the different parts of the RNA catalysis problem space while also addressing the limitations and pitfalls of these methods. Classical molecular dynamics simulations, reference interaction site model calculations, constant pH molecular dynamics (CpHMD) simulations, Hamiltonian replica exchange molecular dynamics, and quantum mechanical/molecular mechanical simulations will be discussed in the context of the study of RNA backbone cleavage transesterification. This reaction is catalyzed by both RNA and protein enzymes, and here we examine the different mechanistic strategies taken by the hepatitis delta virus ribozyme and RNase A.

Evidence for the role of active site residues in the hairpin ribozyme from molecular simulations along the reaction path

The hairpin ribozyme accelerates a phosphoryl transfer reaction without catalytic participation of divalent metal ions. Residues A38 and G8 have been implicated as playing roles in general acid and base catalysis, respectively. Here we explore the structure and dynamics of key active site residues using more than 1 μs of molecular dynamics simulations of the hairpin ribozyme at different stages along the catalytic pathway. Analysis of results indicates hydrogen bond interactions between the nucleophile and proR nonbridging oxygen are correlated with active inline attack conformations. Further, the simulation results suggest a possible alternative role for G8 to promote inline fitness and facilitate activation of the nucleophile by hydrogen bonding, although this does not necessarily exclude an additional role as a general base. Finally, we suggest that substitution of G8 with N7- or N3-deazaguanosine which have elevated pK_a values, both with and without thio modifications at the 5′ leaving group position, would provide valuable insight into the specific role of G8 in catalysis.

Comparison of ab Initio, DFT, and Semiempirical QM/MM Approaches for Description of Catalytic Mechanism of Hairpin Ribozyme

We have analyzed the capability of state-of-the-art multiscale computational approaches to provide atomic-resolution electronic structure insights into possible catalytic scenarios of the hairpin ribozyme by evaluating potential and free energy surfaces of the reactions by various hybrid QM/MM methods. The hairpin ribozyme is a unique catalytic RNA that achieves rate acceleration similar to other small self-cleaving ribozymes but without direct metal ion participation. Guanine 8 (G8) and adenine 38 (A38) have been identified as the catalytically essential nucleobases. However, their exact catalytic roles are still being investigated. In line with the available experimental data, we considered two reaction scenarios involving protonated A38H(+) as a general acid which is further assisted by either canonical G8 or deprotonated G8(-) forms. We used the spin-component scaled Møller-Plesset (SCS-MP2) method at the complete basis set limit as the reference method. The semiempirical AM1/d-PhoT and SCC-DFTBPR methods provided acceptable activation barriers with respect to the SCS-MP2 data but predicted significantly different reaction pathways. DFT functionals (BLYP and MPW1K) yielded the same reaction pathway as the SCS-MP2 method. The activation barriers were slightly underestimated by the GGA BLYP functional, although with accuracy comparable to the semiempirical methods. The SCS-MP2 method and hybrid MPW1K functional gave activation barriers that were closest to those derived from experimentally measured rate constants.

A combination of receptor-based pharmacophore modeling & QM techniques for identification of human chymase inhibitors

Inhibition of chymase is likely to divulge therapeutic ways for the treatment of cardiovascular diseases, and fibrotic disorders. To find novel and potent chymase inhibitors and to provide a new idea for drug design, we used both ligand-based and structure-based methods to perform the virtual screening(VS) of commercially available databases. Different pharmacophore models generated from various crystal structures of enzyme may depict diverse inhibitor binding modes. Therefore, multiple pharmacophore-based approach is applied in this study. X-ray crystallographic data of chymase in complex with different inhibitors were used to generate four structure-based pharmacophore models. One ligand-based pharmacophore model was also developed from experimentally known inhibitors. After successful validation, all pharmacophore models were employed in database screening to retrieve hits with novel chemical scaffolds. Drug-like hit compounds were subjected to molecular docking using GOLD and AutoDock. Finally four structurally diverse compounds with high GOLD score and binding affinity for several crystal structures of chymase were selected as final hits. Identification of final hits by three different pharmacophore models necessitates the use of multiple pharmacophore-based approach in VS process. Quantum mechanical calculation is also conducted for analysis of electrostatic characteristics of compounds which illustrates their significant role in driving the inhibitor to adopt a suitable bioactive conformation oriented in the active site of enzyme. In general, this study is used as example to illustrate how multiple pharmacophore approach can be useful in identifying structurally diverse hits which may bind to all possible bioactive conformations available in the active site of enzyme. The strategy used in the current study could be appropriate to design drugs for other enzymes as well.

A New Maximum Likelihood Approach for Free Energy Profile Construction from Molecular Simulations

A novel variational method for construction of free energy profiles from molecular simulation data is presented. The variational free energy profile (VFEP) method uses the maximum likelihood principle applied to the global free energy profile based on the entire set of simulation data (e.g from multiple biased simulations) that spans the free energy surface. The new method addresses common obstacles in two major problems usually observed in traditional methods for estimating free energy surfaces: the need for overlap in the re-weighting procedure and the problem of data representation. Test cases demonstrate that VFEP outperforms other methods in terms of the amount and sparsity of the data needed to construct the overall free energy profiles. For typical chemical reactions, only ~5 windows and ~20-35 independent data points per window are sufficient to obtain an overall qualitatively correct free energy profile with sampling errors an order of magnitude smaller than the free energy barrier. The proposed approach thus provides a feasible mechanism to quickly construct the global free energy profile and identify free energy barriers and basins in free energy simulations via a robust, variational procedure that determines an analytic representation of the free energy profile without the requirement of numerically unstable histograms or binning procedures. It can serve as a new framework for biased simulations and is suitable to be used together with other methods to tackle with the free energy estimation problem.

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

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

3D QSAR pharmacophore modeling, in silico screening, and density functional theory (DFT) approaches for identification of human chymase inhibitors

Human chymase is a very important target for the treatment of cardiovascular diseases. Using a series of theoretical methods like pharmacophore modeling, database screening, molecular docking and Density Functional Theory (DFT) calculations, an investigation for identification of novel chymase inhibitors, and to specify the key factors crucial for the binding and interaction between chymase and inhibitors is performed. A highly correlating (r = 0.942) pharmacophore model (Hypo1) with two hydrogen bond acceptors, and three hydrophobic aromatic features is generated. After successfully validating "Hypo1", it is further applied in database screening. Hit compounds are subjected to various drug-like filtrations and molecular docking studies. Finally, three structurally diverse compounds with high GOLD fitness scores and interactions with key active site amino acids are identified as potent chymase hits. Moreover, DFT study is performed which confirms very clear trends between electronic properties and inhibitory activity (IC(50)) data thus successfully validating "Hypo1" by DFT method. Therefore, this research exertion can be helpful in the development of new potent hits for chymase. In addition, the combinational use of docking, orbital energies and molecular electrostatic potential analysis is also demonstrated as a good endeavor to gain an insight into the interaction between chymase and inhibitors.

QM/MM studies of hairpin ribozyme self-cleavage suggest the feasibility of multiple competing reaction mechanisms

The hairpin ribozyme is a prominent member of small ribozymes since it does not require metal ions to achieve catalysis. Guanine 8 (G8) and adenine 38 (A38) have been identified as key participants in self-cleavage and -ligation. We have carried out hybrid quantum-mechanical/molecular mechanical (QM/MM) calculations to evaluate the energy along several putative reaction pathways. The error of our DFT description of the QM region was tested and shown to be ~1 kcal/mol. We find that self-cleavage of the hairpin ribozyme may follow several competing microscopic reaction mechanisms, all with calculated activation barriers in good agreement with those from experiment (20-21 kcal/mol). The initial nucleophilic attack of the A-1(2'-OH) group on the scissile phosphate is predicted to be rate-limiting in all these mechanisms. An unprotonated G8(-) (together with A38H(+)) yields a feasible activation barrier (20.4 kcal/mol). Proton transfer to a nonbridging phosphate oxygen also leads to feasible reaction pathways. Finally, our calculations consider thio-substitutions of one or both nonbridging oxygens of the scissile phosphate and predict that they have only a negligible effect on the reaction barrier, as observed experimentally.

Modeling the RNA 2'OH activation: possible roles of metal ion and nucleobase as catalysts in self-cleaving ribozymes

The RNA 2'OH activation as taking place in the first chemical step of self-cleaving ribozymes is studied theoretically by DFT and MP2 methods using a continuum solvation model (CPCM). The reaction of proton transfer is studied in the presence of two kinds of catalysts: a fully hydrated metal ion (Mg(2+)) or partially hydrated nucleobase (guanine), taken separately or together leading to three different modes of activation. The metal ion is either directly bound (inner-sphere) or indirectly bound (outer-sphere) to the 2'OH group and a hydroxide ion acts as a general or specific base; the nucleobase is taken in anionic or in neutral enol-tautomeric forms playing itself the role of general base. The presence of a close metal ion (outer-sphere) lowers the pK(a) value of the 2'OH group by several log units in both metal-ion and nuleobase catalysis. The direct metal coordination to the 2'OH group (inner-sphere) further stabilizes the developing negative charge on the nucleophile. The switching from the inner-sphere to the outer-sphere coordination appears to be driven by the energy cost for reorganizing the first coordination shell rather than by the electrostatic repulsion between the ligands. The metal-ion catalysis is more effective with a specific base in the dianionic mechanism. On the other hand, the nucleobase catalysis is more effective in the monoanionic mechanism and in the presence of a metal ion acting as a cofactor through nonspecific electrostatic interactions. The results establish a baseline to study the possible roles of metal and nucleobase catalysts and their environment in more realistic models for self-cleaving ribozymes.

The pH dependence of hairpin ribozyme catalysis reflects ionization of an active site adenine

Understanding how self-cleaving ribozymes mediate catalysis is crucial in light of compelling evidence that human and bacterial gene expression can be regulated through RNA self-cleavage. The hairpin ribozyme catalyzes reversible phosphodiester bond cleavage through a mechanism that does not require divalent metal cations. Previous structural and biochemical evidence implicated the amidine group of an active site adenosine, A38, in a pH-dependent step in catalysis. We developed a way to determine microscopic pK(a) values in active ribozymes based on the pH-dependent fluorescence of 8-azaadenosine (8azaA). We compared the microscopic pK(a) for ionization of 8azaA at position 38 with the apparent pK(a) for the self-cleavage reaction in a fully functional hairpin ribozyme with a unique 8azaA at position 38. Microscopic and apparent pK(a) values were virtually the same, evidence that A38 protonation accounts for the decrease in catalytic activity with decreasing pH. These results implicate the neutral unprotonated form of A38 in a transition state that involves formation of the 5'-oxygen-phosphorus bond.

Do the hairpin and VS ribozymes share a common catalytic mechanism based on general acid-base catalysis? A critical assessment of available experimental data

The active centers of the hairpin and VS ribozymes are both generated by the interaction of two internal loops, and both ribozymes use guanine and adenine nucleobases to accelerate cleavage and ligation reactions. The centers are topologically equivalent and the relative positioning of key elements the same. There is good evidence that the cleavage reaction of the VS ribozyme is catalyzed by the guanine (G638) acting as general base and the adenine (A756) as general acid. We now critically evaluate the experimental mechanistic evidence for the hairpin ribozyme. We conclude that all the available data are fully consistent with a major contribution to catalysis by general acid-base catalysis involving the adenine (A38) and guanine (G8). It appears that the two ribozymes are mechanistically equivalent.

Hammerhead ribozymes: true metal or nucleobase catalysis? Where is the catalytic power from?

The hammerhead ribozyme was first considered as a metalloenzyme despite persistent inconsistencies between structural and functional data. In the last decade, metal ions were confirmed as catalysts in self-splicing ribozymes but displaced by nucleobases in self-cleaving ribozymes. However, a model of catalysis just relying on nucleobases as catalysts does not fully fit some recent data. Gathering and comparing data on metal ions in self-cleaving and self-splicing ribozymes, the roles of divalent metal ions and nucleobases are revisited. Hypothetical models based on cooperation between metal ions and nucleobases are proposed for the catalysis and evolution of this prototype in RNA catalysis.

Protonation states of the key active site residues and structural dynamics of the glmS riboswitch as revealed by molecular dynamics

The glmS catalytic riboswitch is part of the 5'-untranslated region of mRNAs encoding glucosamine-6-phosphate (GlcN6P) synthetase (glmS) in numerous gram-positive bacteria. Binding of the cofactor GlcN6P induces site-specific self-cleavage of the RNA. However, the detailed reaction mechanism as well as the protonation state of the glmS reactive form still remains elusive. To probe the dominant protonation states of key active site residues, we carried out explicit solvent molecular dynamic simulations involving various protonation states of three crucial active site moieties observed in the available crystal structures: (i) guanine G40 (following the Thermoanaerobacter tengcongensis numbering), (ii) the GlcN6P amino/ammonium group, and (iii) the GlcN6P phosphate moiety. We found that a deprotonated G40(-) seems incompatible with the observed glmS active site architecture. Our data suggest that the canonical form of G40 plays a structural role by stabilizing an in-line attack conformation of the cleavage site A-1(2'-OH) nucleophile, rather than a more direct chemical role. In addition, we observe weakened cofactor binding upon protonation of the GlcN6P phosphate moiety, which explains the experimentally observed increase in K(m) with decreasing pH. Finally, we discuss a possible role of cofactor binding and its interaction with the G65 and G1 purines in structural stabilization of the A-1(2'-OH) in-line attack conformation. On the basis of the identified dominant protonation state of the reaction precursor, we propose a hypothesis of the self-cleavage mechanism in which A-1(2'-OH) is activated as a nucleophile by the G1(pro-R(p)) nonbridging oxygen of the scissile phosphate, whereas the ammonium group of GlcN6P acts as the general acid protonating the G1(O5') leaving group.

Extensive molecular dynamics simulations showing that canonical G8 and protonated A38H+ forms are most consistent with crystal structures of hairpin ribozyme

The hairpin ribozyme is a prominent member of the group of small catalytic RNAs (RNA enzymes or ribozymes) because it does not require metal ions to achieve catalysis. Biochemical and structural data have implicated guanine 8 (G8) and adenine 38 (A38) as catalytic participants in cleavage and ligation catalyzed by the hairpin ribozyme, yet their exact role in catalysis remains disputed. To gain insight into dynamics in the active site of a minimal self-cleaving hairpin ribozyme, we have performed extensive classical, explicit-solvent molecular dynamics (MD) simulations on time scales of 50-150 ns. Starting from the available X-ray crystal structures, we investigated the structural impact of the protonation states of G8 and A38, and the inactivating A-1(2'-methoxy) substitution employed in crystallography. Our simulations reveal that a canonical G8 agrees well with the crystal structures while a deprotonated G8 profoundly distorts the active site. Thus MD simulations do not support a straightforward participation of the deprotonated G8 in catalysis. By comparison, the G8 enol tautomer is structurally well tolerated, causing only local rearrangements in the active site. Furthermore, a protonated A38H(+) is more consistent with the crystallography data than a canonical A38. The simulations thus support the notion that A38H(+) is the dominant form in the crystals, grown at pH 6. In most simulations, the canonical A38 departs from the scissile phosphate and substantially perturbs the structures of the active site and S-turn. Yet, we occasionally also observe formation of a stable A-1(2'-OH)...A38(N1) hydrogen bond, which documents the ability of the ribozyme to form this hydrogen bond, consistent with a potential role of A38 as general base catalyst. The presence of this hydrogen bond is, however, incompatible with the expected in-line attack angle necessary for self-cleavage, requiring a rapid transition of the deprotonated 2'-oxyanion to a position more favorable for in-line attack after proton transfer from A-1(2'-OH) to A38(N1). The simulations revealed a potential force field artifact, occasional but irreversible formation of "ladder-like", underwound A-RNA structure in one of the external helices. Although it does not affect the catalytic center of the hairpin ribozyme, further studies are under way to better assess possible influence of such force field behavior on long RNA simulations.

Reparameterization of RNA chi Torsion Parameters for the AMBER Force Field and Comparison to NMR Spectra for Cytidine and Uridine

A reparameterization of the torsional parameters for the glycosidic dihedral angle, chi, for the AMBER99 force field in RNA nucleosides is used to provide a modified force field, AMBER99chi. Molecular dynamics simulations of cytidine, uridine, adenosine, and guanosine in aqueous solution using the AMBER99 and AMBER99chi force fields are compared with NMR results. For each nucleoside and force field, 10 individual molecular dynamics simulations of 30 ns each were run. For cytidine with AMBER99chi force field, each molecular dynamics simulation time was extended to 120 ns for convergence purposes. Nuclear magnetic resonance (NMR) spectroscopy, including one-dimensional (1D) (1)H, steady-state 1D (1)H nuclear Overhauser effect (NOE), and transient 1D (1)H NOE, was used to determine the sugar puckering and preferred base orientation with respect to the ribose of cytidine and uridine. The AMBER99 force field overestimates the population of syn conformations of the base orientation and of C2'-endo sugar puckering of the pyrimidines, while the AMBER99chi force field's predictions are more consistent with NMR results. Moreover, the AMBER99 force field prefers high anti conformations with glycosidic dihedral angles around 310 degrees for the base orientation of purines. The AMBER99chi force field prefers anti conformations around 185 degrees , which is more consistent with the quantum mechanical calculations and known 3D structures of folded ribonucleic acids (RNAs). Evidently, the AMBER99chi force field predicts the structural characteristics of ribonucleosides better than the AMBER99 force field and should improve structural and thermodynamic predictions of RNA structures.

Molecular dynamics and quantum mechanics of RNA: conformational and chemical change we can believe in

Structure and dynamics are both critical to RNA’s vital functions in biology. Numerous techniques can elucidate the structural dynamics of RNA, but computational approaches based on experimental data arguably hold the promise of providing the most detail. In this Account, we highlight areas wherein molecular dynamics (MD) and quantum mechanical (QM) techniques are applied to RNA, particularly in relation to complementary experimental studies.

We have expanded on atomic-resolution crystal structures of RNAs in functionally relevant states by applying explicit solvent MD simulations to explore their dynamics and conformational changes on the submicrosecond time scale. MD relies on simplified atomistic, pairwise additive interaction potentials (force fields). Because of limited sampling, due to the finite accessible simulation time scale and the approximated force field, high-quality starting structures are required.

Despite their imperfection, we find that currently available force fields empower MD to provide meaningful and predictive information on RNA dynamics around a crystallographically defined energy minimum. The performance of force fields can be estimated by precise QM calculations on small model systems. Such calculations agree reasonably well with the Cornell et al. AMBER force field, particularly for stacking and hydrogen-bonding interactions. A final verification of any force field is accomplished by simulations of complex nucleic acid structures.

The performance of the Cornell et al. AMBER force field generally corresponds well with and augments experimental data, but one notable exception could be the capping loops of double-helical stems. In addition, the performance of pairwise additive force fields is obviously unsatisfactory for inclusion of divalent cations, because their interactions lead to major polarization and charge-transfer effects neglected by the force field. Neglect of polarization also limits, albeit to a lesser extent, the description accuracy of other contributions, such as interactions with monovalent ions, conformational flexibility of the anionic sugar−phosphate backbone, hydrogen bonding, and solute polarization by solvent. Still, despite limitations, MD simulations are a valid tool for analyzing the structural dynamics of existing experimental structures. Careful analysis of MD simulations can identify problematic aspects of an experimental RNA structure, unveil structural characteristics masked by experimental constraints, reveal functionally significant stochastic fluctuations, evaluate the structural role of base ionization, and predict structurally and potentially functionally important details of the solvent behavior, including the presence of tightly bound water molecules. Moreover, combining classical MD simulations with QM calculations in hybrid QM/MM approaches helps in the assessment of the plausibility of chemical mechanisms of catalytic RNAs (ribozymes).

In contrast, the reliable prediction of structure from sequence information is beyond the applicability of MD tools. The ultimate utility of computational studies in understanding RNA function thus requires that the results are neither blindly accepted nor flatly rejected, but rather considered in the context of all available experimental data, with great care given to assessing limitations through the available starting structures, force field approximations, and sampling limitations. The examples given in this Account showcase how the judicious use of basic MD simulations has already served as a powerful tool to help evaluate the role of structural dynamics in biological function of RNA.

Direct Raman measurement of an elevated base pKa in the active site of a small ribozyme in a precatalytic conformation

Catalytic RNA molecules can achieve rate acceleration by shifting base pK(a) values toward neutrality. Prior evidence has suggested that base A38 of the hairpin ribozyme plays an important role in phosphoryl transfer, possibly functioning as a general acid, or by orienting a specific water molecule for proton transfer. To address the role of A38, we used Raman spectroscopy to measure directly the pK(a) of the N1-imino moiety in the context of hairpin ribozyme crystals representative of a "precatalytic" conformation. The results revealed that the pK(a) of A38 is shifted to 5.46 +/- 0.05 relative to 3.68 +/- 0.06 derived from a reference solution of the nucleotide AMP. The elevated pK(a) correlates well with the first titration point of the macroscopic pH-rate profile of the hairpin ribozyme in solution and strongly supports A38 as a general acid catalyst in bond scission. The results confirm that A38 is protonated before the transition state, which would promote phosphorane development. Overall, the results establish a cogent structure-function paradigm that expands our understanding of how RNA structure can enhance nucleobase reactivity to catalyze biological reactions.

Theoretical studies of RNA catalysis: hybrid QM/MM methods and their comparison with MD and QM

Hybrid QM/MM methods combine the rigor of quantum mechanical (QM) calculations with the low computational cost of empirical molecular mechanical (MM) treatment allowing to capture dynamic properties to probe critical atomistic details of enzyme reactions. Catalysis by RNA enzymes (ribozymes) has only recently begun to be addressed with QM/MM approaches and is thus still a field under development. This review surveys methodology as well as recent advances in QM/MM applications to RNA mechanisms, including those of the HDV, hairpin, and hammerhead ribozymes, as well as the ribosome. We compare and correlate QM/MM results with those from QM and/or molecular dynamics (MD) simulations, and discuss scope and limitations with a critical eye on current shortcomings in available methodologies and computer resources. We thus hope to foster mutual appreciation and facilitate collaboration between experimentalists and theorists to jointly advance our understanding of RNA catalysis at an atomistic level.

Exploring ribozyme conformational changes with X-ray crystallography

Relating three-dimensional fold to function is a central challenge in RNA structural biology. Toward this goal, X-ray crystallography has long been considered the "gold standard" for structure determinations at atomic resolution, although NMR spectroscopy has become a powerhouse in this arena as well. In the area of dynamics, NMR remains the dominant technique to probe the magnitude and timescales of molecular motion. Although the latter area remains largely unassailable by conventional crystallographic methods, inroads have been made on proteins using Laue radiation on timescales of ms to ns. Proposed 'fourth generation' radiation sources, such as free-electron X-ray lasers, promise ps- to fs-timescale resolution, and credible evidence is emerging that supports the feasibility of single molecule imaging. At present however, the preponderance of RNA structural information has been derived from timescale and motion insensitive crystallographic techniques. Importantly, developments in computing, automation and high-flux synchrotron sources have propelled the rapidity of 'conventional' RNA crystal structure determinations to timeframes of hours once a suitable set of phases is obtained. With a sufficient number of crystal structures, it is possible to create a structural ensemble that can provide insight into global and local molecular motion characteristics that are relevant to biological function. Here we describe techniques to explore conformational changes in the hairpin ribozyme, a representative non-protein-coding RNA catalyst. The approaches discussed include: (i) construct choice and design using prior knowledge to improve X-ray diffraction; (ii) recognition of long-range conformational changes and (iii) use of single-base or single-atom changes to create ensembles. The methods are broadly applicable to other RNA systems.

Comparative enzymology and structural biology of RNA self-cleavage

Self-cleaving hammerhead, hairpin, hepatitis delta virus, and glmS ribozymes comprise a family of small catalytic RNA motifs that catalyze the same reversible phosphodiester cleavage reaction, but each motif adopts a unique structure and displays a unique array of biochemical properties. Recent structural, biochemical, and biophysical studies of these self-cleaving RNAs have begun to reveal how active site nucleotides exploit general acid-base catalysis, electrostatic stabilization, substrate destabilization, and positioning and orientation to reduce the free energy barrier to catalysis. Insights into the variety of catalytic strategies available to these model RNA enzymes are likely to have important implications for understanding more complex RNA-catalyzed reactions fundamental to RNA processing and protein synthesis.

Identification of an imino group indispensable for cleavage by a small ribozyme

The hairpin ribozyme is a small, noncoding RNA (ncRNA) that catalyzes a site-specific phosphodiester bond cleavage reaction. Prior biochemical and structural analyses pinpointed the amidine moiety of base Ade38 as a key functional group in catalysis, but base changes designed to probe function resulted in localized misfolding of the active site. To define the requirements for chemical activity using a conservative modification, we synthesized and incorporated N1-deazaadenosine into the full-length ribozyme construct. This single-atom variant severely impairs activity, although the active-site fold remains intact in the accompanying crystal structures. The results demonstrate the essentiality of the imino moiety as well as the importance of its interaction with the substrate in the precatalytic and transition-state conformations. This work demonstrates the efficacy of single-atom approaches in the analysis of ncRNA structure-function relationships.

Does water relay play an important role in phosphoryl transfer reactions? Insights from theoretical study of a model reaction in water and tert-butanol

To investigate whether water relay plays an important role in phosphoryl transfer reactions, we have used several theoretical approaches to compare key properties of uridine 3'-m-nitrobenzyl phosphate (UNP) in aqueous and tert-butanol solutions. Previous kinetic experiments found that the isomerization reaction of UNP is abolished in tert-butanol, which was interpreted as the direct evidence that supports the role of water relay in phosphoryl transfer. We have analyzed solute flexibility and solvent structure near the solute using equilibrium molecular dynamics simulations and a combined quantum mechanical/molecular mechanism (QM/MM) potential function for the solute. Snapshots from the simulations are then used in minimum energy path calculations to compare the energetics of direct nucleophilic attack and water-mediated nucleophilic attack pathways. QM/MM simulations are also used to compare the pseudorotation barriers for the pentavalent intermediate formed following the nucleophilic attack, another key step for the isomerization reaction. Combined results from these calculations suggest that water relay does not offer any significant energetic advantage over the direct nucleophilic attack. Unfortunately, the lack of isomerization in tert-butanol solution cannot be straightforwardly explained based on the results we have obtained here and therefore requires additional analysis. This study, nevertheless, has provided new insights into several most commonly discussed possibilities.

Molecular dynamics suggest multifunctionality of an adenine imino group in acid-base catalysis of the hairpin ribozyme

Despite numerous structural and biochemical investigations, the catalytic mechanism of hairpin ribozyme self-cleavage remains elusive. To gain insight into the coupling of active site dynamics with activity of this small catalytic RNA, we analyzed a total of approximately 300 ns of molecular dynamics (MD) simulations. Our simulations predict improved global stability for an in vitro selected "gain of function" mutation, which is validated by native gel electrophoretic mobility shift assay. We observe that active site nucleobases and water molecules stabilize a geometry favorable to catalysis through a dynamic hydrogen bonding network. Simulations in which A38 is unprotonated show its N1 move into close proximity of the active site 2'-OH, indicating that A38 may act as a general base during cleavage, a role that has generally been discounted due to the longer distances observed in crystal structures involving inactivating substrate analogs. By contrast, simulations in which N1 of A38 is protonated place N1 in close proximity to the 5'-oxygen leaving group, which supports the proposal that A38 serves as a general acid. In analogy to protein enzymes, we discuss a plausible mechanism in which A38 acts bifunctionally and shuttles a proton directly from the 2'-OH to the 5'-oxygen. Furthermore, our simulations suggest an important role for protonation of N1 of A38 in promoting a favorable geometry similar to that observed in transition-state analog crystal structures, and support previously proposed roles of A38, G8, and long residency water molecules in transition-state stabilization.

Direct measurement of the ionization state of an essential guanine in the hairpin ribozyme

Active site guanines are critical for self-cleavage reactions of several ribozymes, but their precise functions in catalysis are unclear. To learn whether protonated or deprotonated forms of guanine predominate in the active site, microscopic pKa values were determined for ionization of 8-azaguanosine substituted for G8 in the active site of a fully functional hairpin ribozyme in order to determine microscopic pKa values for 8-azaguanine deprotonation from the pH dependence of fluorescence. Microscopic pKa values above 9 for deprotonation of 8-azaguanine in the active site were about 3 units higher than apparent pKa values determined from the pH dependence of self-cleavage kinetics. Thus, the increase in activity with increasing pH does not correlate with deprotonation of G8, and most of G8 is protonated at neutral pH. These results do not exclude a role in proton transfer, but a simple interpretation is that G8 functions in the protonated form, perhaps by donating hydrogen bonds.

Threshold occupancy and specific cation binding modes in the hammerhead ribozyme active site are required for active conformation

The relationship between formation of active in-line attack conformations and monovalent (Na(+)) and divalent (Mg(2+)) metal ion binding in hammerhead ribozyme (HHR) has been explored with molecular dynamics simulations. To stabilize repulsions between negatively charged groups, different requirements of the threshold occupancy of metal ions were observed in the reactant and activated precursor states both in the presence and in the absence of a Mg(2+) in the active site. Specific bridging coordination patterns of the ions are correlated with the formation of active in-line attack conformations and can be accommodated in both cases. Furthermore, simulation results suggest that the HHR folds to form an electronegative recruiting pocket that attracts high local concentrations of positive charge. The present simulations help to reconcile experiments that probe the metal ion sensitivity of HHR catalysis and support the supposition that Mg(2+), in addition to stabilizing active conformations, plays a specific chemical role in catalysis.