Abstract
Although there have been great strides in defining the mechanisms of RNA strand cleavage by 2′-O-transphosphorylation, long-standing questions remain. How do different catalytic modes such as acid/base and metal ion catalysis influence transition state charge distribution? Does the large rate enhancement characteristic of biological catalysis result in different transition states relative to solution reactions? Answering these questions is important for understanding biological catalysis in general, and revealing principles for designing small molecule inhibitors. Recent application of linear free energy relationships and kinetic isotope effects together with multi-scale computational simulations are providing tentative answers to these questions for this fundamentally important class of phosphoryl transfer reactions.
Introduction
Cleavage of RNA by nucleophilic attack of a ribose 2′-hydroxyl on the adjacent 3′5′, phosphodiester to generate cyclic 2′, 3′-cyclic phosphate and 5′-hydroxyl products is a fundamental reaction in biology [1–5]. Decades of detailed experimental and, more recently, computational analyses reveal a complex free energy landscape that includes both stepwise and concerted mechanisms. The specific pathway followed depends on interactions with acid, base and metal ion catalysts. Distinguishing between general and specific acid/base catalysis and the precise mode or modes of metal ion catalysis within these mechanisms is challenging. Nonetheless, such chemical detail is essential for understanding transition state stabilization, and designing new therapeutics that target phosphoryl transfer enzyme active sites [5–8].
The overall mechanistic landscape for intramolecular transphosphorylation in solution depends on whether catalysis is by acid or base [1–3] (Figure 1A). At pH 0–5 both cleavage and isomerization (to a 2′,5′ phosphodiester) occur via a step-wise mechanism with a shared phosphorane intermediate. The increase in rate constant with decreasing pH is consistent with protonation of both the leaving group (pKa < 0) and one of the nonbridging oxygens (pKa ca. 2). At high pH (>8) the cleavage rate is log-linear with hydroxide concentration with an apparent pKa of ca. 13 reflecting deprotonation of the 2′-O nucleophile. Isomerization products are not formed at high pH suggesting a concerted mechanism, or short-lived dianionic phosphorane intermediate. A More-O’Ferrall/Jencks diagram illustrates the range of possible TSs (Figure 1B)[7–9]. For a stepwise mechanism involving a phosphorane intermediate the reaction proceeds first along the 2′O-P bond formation coordinate, and then along the 5′O-P bond cleavage coordinate. There are two separate transition states, TS1 and TS2, either of which can be rate limiting. TS1 and TS2 may be early or late along their respective reaction coordinate, and intermediates within the landscape that have partial 2′O-P and 5′O-P bonding are also possible. A fully concerted mechanism reacts via a single transition state (TSc) with partial 2′O-P and 5′O-P bonding.
The sensitivity of this landscape to interactions with catalysts raises questions that are fundamentally important for understanding biological catalysis [8,10]. How do catalytic modes such as acid/base and metal ion catalysis influence TS structure and bonding? Do enzymes alter TSs in characteristic ways relative to solution reactions? Addressing these questions may provide insight into foundations of biological catalysis, and provide design principles for developing TS analogs as inhibitors. Experimental means for analyzing TSs include linear free energy relationship and kinetic isotope effect analyses. These data can constrain potential mechanisms, and serve as calibration points for multi-scale quantum modeling to provide an atomic-level interpretation of TS bonding. Characterization of the TS allows discrimination between free energy landscapes corresponding to different reaction channels, and, ultimately, reveals mechanistic detail. Here, we highlight recent progress using these approaches to understanding RNA transphosphorylation.
Transition states of solution RNA 2′-O-transphosphorylation
Linear free energy relationship (LFER) analyses compare the effect of changes in nucleophile or leaving group reactivity (pKa) on the reaction rate (βF for the forward reaction) calibrated against the effect of changing pKa on reaction equilibria (βEQ) in order to estimate charge development in the TS[8](and references therein). The Leffler parameter α = βF/βEQ is used to express the fraction of total charge development in the TS[11]. A βLG of −1.28 was measured for base catalyzed reaction of uridine-3′-alkylphosphodiesters indicating a late TS along the 5′O-P bond cleavage coordinate [12]. The βEQ for RNA transphosphorylation is unknown, however estimates of −1.6 to −1.7 [13,14] indicate α ≈ 0.7. For uridine-3′-arylphosphodiesters a βLG of −0.59 (α ≈ 0.34) was observed consistent with less charge accumulation on the leaving group for better aryl leaving groups [15]. These data suggest a change in mechanism with increasing leaving group pKa that may involve transition from a concerted to stepwise reaction [16]. Piccirilli and colleagues reported a βNUC of 0.75 for RNA transphosphorylation using a series of 2′-substituted analogs (α ≈ 0.5) [17] demonstrating the TS for RNA reactions is advanced along the 2′O-P bond formation coordinate. Significant βLG and βNUC values support a late, TS2-like transition state in either a concerted or stepwise mechanism. Although LFER provide a means to probe TS structure, the interpretation of these results is complicated by uncertainty in the accuracy of estimated βEQ values, an unclear understanding of the role of solvation, and ambiguity associated with kinetically equivalent mechanistic models within the framework of transition state theory [7,8]. Quantum mechanical calculations can greatly aid in establishing a connection between LFER data and TS bonding [18].
Kinetic isotope effects (KIEs) offer a complementary approach to investigate TS bonding. KIEs arise because heavier stable isotopes have lower zero point vibrational energies than their lighter counterparts [19–21]. Differences in bond stiffness between the ground state and TS result in differences in activation energy and consequently differences in rate constant (expressed as klight/kheavy). Decreasing bond stiffness in the TS favors the lighter isotope resulting in KIE >1 (referred to as “normal” effects), while increasing bond stiffness in the TS favors the heavier isotope (KIEs <1) resulting in an “inverse” KIE. TS structure can be inferred by comparing observed KIEs to equilibrium values. However, KIEs reflect changes in all vibrational modes involving the substituted atom, which can make them difficult to interpret unambiguously, although multi-scale quantum simulations can help to aid in theirin terpretation.
A large, normal KIE on the 5′O (18kLG) is observed for RNA 2′-O-transhosphorylation catalyzed by specific base (1.034)[22]. This result corresponds well to previous measurements by Cleland and colleagues for uridine-3′-m-nitrobenzyl phosphate (pKa 14.9) (18kLG = 1.027)[23] and the large βLG observed for alkyl leaving groups [12]. The 18kLG for uridine-3′-p-nitrophenyl phosphate (pKa 7.4) is small (18kLG = 1.006)[24] suggesting an early TS along the 5′O-P bond cleavage coordinate consistent with smaller βLG for aryl leaving groups.
Nucleophile KIEs (18kNUC) can range from normal to inverse for early versus late TSs because they reflect both participation in reaction coordinate motion as well as differences in bonding in the TS compared to the ground state [22,25]. A normal nucleophile KIE of 1.0327 is observed for hydroxypropyl-p-nitrophenol phosphate (HPpNP) reactions consistent with minimal contribution from 2′O-P bond formation. In contrast, the inverse 18kNUC (0.981) for RNA transphosphorylation (leaving group pKa ca. 14) indicates that 2′O-P bonding is advanced [22]. A lower 18kNUC for RNA is observed at pH values below the pKa of the 2′O (18kNUC = 0.996) due to a large normal contribution from loss of the 2′O-H stretching mode (ca. 1.027) to the observed KIE[22,26]. Thus, KIE and LFER analyses support base catalysis occurring by mechanisms with TS1- or TS2-like transition states depending on leaving group reactivity.
A near-unity non-bridging oxygen isotope effect (18kNPO) for specific base catalysis indicates similar bonding in the TS and ground state [20,22,27]. In contrast, during acid catalysis the stiffer bonding environment resulting from formation of a protonated phosphorane appears to be reflected in an observed inverse 18kNPO (0.991)[23,28]. The 18kLG for acid catalysis is small (1.005)[23,28], consistent with models involving rate-limiting 5′O-P bond cleavage with concomitant transfer of a proton from a phosphoryl oxygen to the 5′O[1]. Yet, the potential for offsetting contributions from O-P bond cleavage and leaving group protonation to observed KIEs make it difficult to pin down TS charge distribution unambiguously.
Multi-scale quantum simulations provide a wealth of atomic-level information about mechanism [29]. This approach involves performing molecular dynamics simulations using a potential that treats the local environment of the reacting atoms with quantum mechanical (QM) methods to describe the electronic structure needed to predict chemical bond formation and cleavage, and the remainder of the solvated macromolecular environment with molecular mechanics (MM) using simpler potential energy functions [30]. QM treatments range from computationally economical semi-empirical approaches [31] to more accurate and computationally expensive density functional and ab inito methods [32]. Development of both fast and accurate multi-scale methods has great potential to facilitate analysis of free energy surfaces for rigorous comparison with experimental measurements and for identification of alternative mechanisms of RNA transphosphorylation [33,34].
For a given mechanistic scenario (e.g., identification of general acid and base catalysis and specific metal ion binding modes), multi-dimensional free energy landscapes are determined along a set of appropriate reaction coordinates. These free energy landscapes provide the groundwork from which the most probable catalytic pathways can be determined. However, because these landscapes have been derived from models that are inherently approximate descriptions of Nature, they must be evaluated in light of experimental measurements, such as LFER analyses and KIE measurements.
Recent density-functional calculations and QM/MM simulations reveal energy profiles for 2′-O-transphosphorylation showing an associative mechanism with distinct TS1 and TS2 separated by a metastable dianionic intermediate [27,35] (Figure 2). Calculated and measured free energies of activation match well (19.9–20.8 versus 19.9 kcal/mol) for a rate-limiting TS2; calculated 18kNUC and 18kLG also agree well with experiment (0.968 and 1.059, respectively; Figure 2)[27]. In this model for TS2 2′O-P bond formation is nearly complete (1.76 Å compared to 1.6 Å ideal length [36]), while 5′O departure is advanced (5′O-P of 2.3 Å). In contrast, TS1 was observed to have a normal 18kNUC (1.017) and near unity 18kLG (1.006), similar to the early TS proposed for reactions involving aryl leaving groups [26].
Altered transition states for metal ion catalysis
Recent KIE and LFER analyses of catalysis by organometallic complexes reveal striking alterations in TS structure. Effects of organometallic complex catalysts on βLG values have been expertly covered by Mikkola and colleagues [37], and current reviews focusing on functional and design properties of organometallic catalysts are also available [38]. Here, we focus on examples where experimental and computational approaches are converging.
Two well-characterized examples involve dinuclear Zn2+ organometallic compounds (referred to here as Zn2(1) and (2)) [39] (Figure 3A). Consideration of pH dependence, solvent KIEs and inhibition by TS mimics indicates that promoting 2′OH deprotonation and indirect electrostatic charge stabilization, rather than direct inner sphere coordination, provide the primary modes of catalysis by Zn2(1). Interestingly, Zn2(1) catalysis of HPpNP transphosphorylation results in a more inverse 18kNUC (1.0079 vs. 0.9874), while the 18kLG becomes more normal (1.0064 versus 1.0113) consistent with a later TS[26] (Figure 3B). Recently reported QM calculations obtained assuming coordination of both non-bridging oxygens and the nucleophile by the two Zn2+ atoms in Zn2(1)[40] support a concerted mechanism with a later TS, although one that is more associative relative to the uncatalyzed TS, is consistent with the observed KIEs. In contrast, the distinct dinuclear Zn organometallic complex catalyst, Zn2(2) (Figure 3A) is proposed to act by stabilization of a phosphorane intermediate as evidenced by its ability to catalyze both cleavage and isomerization [37]. A βLG of −0.92 is observed for uridine-3′-alkylphosphate reactions catalyzed by Zn2(2)[41], compared to −1.28 for specific base catalysis (see above) indicating less charge development on the leaving group [41].
Interestingly, catalysis of uridine-3′-alkylphosphate cleavage by Zn2+ ions alone also results in a significantly lower βLG (−0.43 to −0.32), which was interpreted as arising from general acid catalysis [41,42] (Figure 3C) although this and other mechanistic details remain to be confirmed. In contrast to the less negative βLG observed for alkyl phosphates, catalysis by Zn2+ aquo ions results in a more negative βLG for reactions of aryl leaving groups (−0.9), compared to specific base catalysis (−0.54), indicating greater charge accumulation in the TS compared to less reactive alkyl leaving groups. An emerging general feature appears to be that better (aryl) leaving groups depart as anions that can be stabilized by positive charge (resulting in a more negative βLG), but departure of less reactive (alkyl) groups like in RNA require greater charge stabilization offered by general acid catalysis (and a correspondingly less negative βLG)[43](Figure 3).
Experimental and computational analysis of ribonuclease transition states
Ribonuclease A is a well-studied paradigm of enzyme catalysis in which active site His119 and His12 are thought to act as general acid and base, respectively. Yet, its mechanism and structure of the rate limiting TS remain ambiguous, making it an excellent system for merging theory and experiment to understand biological catalysis [6]. KIE results reveal intriguing differences in the enzyme TS compared to solution reactions. The 18kLG for RNA 2′-O-transphosphorylation by RNase A is less than the value observed for the solution reaction (1.014 vs. 1.037) [28,44], indicating a stiffer bonding environment for the 5′O on the enzyme. An inverse 18kNUC (0.994) indicates that, like specific base catalysis, 2′O-P bond formation is advanced [28]. A small 18kNPO and the lack of a thio effect [45] are most consistent with an dianionic TS rather than a monoanionic one involving protonation of a non-bridging oxygen.
MD simulations of RNase A with a dianionic phosphorane TS mimic provided a basis for a fully QM active site model [28,46]. His119 interacts with the departing 5′O consistent with a role as general acid. Interestingly, the calculations suggest a step-wise mechanism is possible in which a protonated His12 may hydrogen bond with a non-bridging phosphoryl oxygen, in addition to its role in nucleophilic activation. Alternative models involving a monoanionic TS and general acid catalysis alone were analyzed as well. Nonetheless, KIEs predicted from DFT calculations using the TS structure involving proton transfer from His119 to the 5′O, together with H-bonding between His12 and the anionic TS are most consistent with experimental values (Figure 4). The calculated 18kLG for the base-catalyzed reaction (1.048) was notably larger than the value for RNase A (1.026), consistent with the observed experimental trend (1.034 versus 1.017). The P-5′O appears therefore to retain a higher degree of covalent bond character, and proton transfer from the general acid (His119) further creates a stiffer bonding environment for stabilizing the leaving group.
Recent analysis of the free energy landscape for RNase A compared the classic mechanism via a dianionic TS to one in which a non-bridging oxygen becomes protonated by His12 subsequent to nucleophilic attack. The stepwise mechanism was found to provide a lower free energy barrier, but TS1 was identified as the rate controlling TS[47], which appears inconsistent with a simple interpretation of the observed inverse 18kNUC and large 18kLG for this enzyme [28,44]. A fully triester-like mechanism involving complete proton transfer appears to conflicts with experimental KIE and thio-effect data [28,45]. However, phosphoryl oxygen vibrational modes are complex and additional computational and experimental effort are needed to achieve a consistent and chemically detailed understanding.
Conclusions
LFER and KIE are powerful because they fundamentally compare ground state and TS bonding, yet, there are inherent limits to their interpretation because of multiple contributions to bonding and kinetic ambiguity. Computational simulations can provide a complete theoretical picture of the reaction landscape and allow areas of mechanistic ambiguity to be identified or resolved, but need careful calibration to experimental data. In addition to gaining deeper insight into how ribonucleases work, an additional area calling for matched effort is in understanding metal ion catalysis where coordination, proton transfer and reaction coordinate effects appear to have large variable contributions to TS bonding depending on mechanism. Phosphoryl transferases have a variety of proposed active site metal geometries and distinct bonding environments compared to solution reactions. Thus, distinct transition states for these enzymes appear likely. In summary, results to date suggest that fundamental chemical constraints dominate solution and enzyme TS structures, however, interactions with active site residues can alter charge distribution in ways that reflect specific catalytic modes.
Highlights.
Long-standing questions remain regarding transition states for RNA cleavage reactions.
Different catalytic modes may profoundly alter transition state charge distribution.
Theory and experiment together can reveal how transition states are altered.
Acknowledgments
The work in the author’s laboratories is funded by NIH GM096000 to MEH, AI081987 to JAP and GM062248 to DMY. The authors apologize to colleagues who have fundamentally advanced our understanding of the RNA reactions reviewed here whose advances could not be directly discussed due to limitations of space and scope.
Footnotes
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