Strong coupling effects during X-pulse CPMG experiments recorded on heteronuclear ABX spin systems: artifacts and a simple solution

Quantitative analysis of the slow exchange process by 19F NMR in the presence of scalar and dipolar couplings: applications to the ribose 2'-19F probe in nucleic acids

Solution NMR spectroscopy is a particularly powerful technique for characterizing the functional dynamics of biomolecules, which is typically achieved through the quantitative characterization of chemical exchange processes via the measurement of spin relaxation rates. In addition to the conventional nuclei such as 15N and 13C, which are abundant in biomolecules, fluorine-19 (19F) has recently garnered attention and is being widely used as a site-specific spin probe. While 19F offers the advantages of high sensitivity and low background, it can be susceptible to artifacts in quantitative relaxation analyses due to a multitude of dipolar and scalar coupling interactions with nearby 1H spins. In this study, we focused on the ribose 2'-19F spin probe in nucleic acids and investigated the effects of 1H-19F spin interactions on the quantitative characterization of slow exchange processes on the millisecond time scale. We demonstrated that the 1H-19F dipolar coupling can significantly affect the interpretation of 19F chemical exchange saturation transfer (CEST) experiments when 1H decoupling is applied, while the 1H-19F interactions have a lesser impact on Carr-Purcell-Meiboom-Gill relaxation dispersion applications. We also proposed a modified CEST scheme to alleviate these artifacts along with experimental verifications on self-complementary RNA systems. The theoretical framework presented in this study can be widely applied to various 19F spin systems where 1H-19F interactions are operative, further expanding the utility of 19F relaxation-based NMR experiments.

Isotope Labels Combined with Solution NMR Spectroscopy Make Visible the Invisible Conformations of Small-to-Large RNAs

RNA is central to the proper function of cellular processes important for life on earth and implicated in various medical dysfunctions. Yet, RNA structural biology lags significantly behind that of proteins, limiting mechanistic understanding of RNA chemical biology. Fortunately, solution NMR spectroscopy can probe the structural dynamics of RNA in solution at atomic resolution, opening the door to their functional understanding. However, NMR analysis of RNA, with only four unique ribonucleotide building blocks, suffers from spectral crowding and broad linewidths, especially as RNAs grow in size. One effective strategy to overcome these challenges is to introduce NMR-active stable isotopes into RNA. However, traditional uniform labeling methods introduce scalar and dipolar couplings that complicate the implementation and analysis of NMR measurements. This challenge can be circumvented with selective isotope labeling. In this review, we outline the development of labeling technologies and their application to study biologically relevant RNAs and their complexes ranging in size from 5 to 300 kDa by NMR spectroscopy.

Conformational Dynamics of the Hepatitis B Virus Pre-genomic RNA on Multiple Time Scales: Implications for Viral Replication

Human hepatitis B virus (HBV) replication is initiated by the binding of the viral polymerase (P) to epsilon (ε), an ≈85-nucleotide (nt) cis-acting regulatory stem-loop RNA located at the 5'-end of the pre-genomic RNA (pgRNA). This interaction triggers P and pgRNA packaging and protein-primed reverse transcription and is therefore an attractive therapeutic target. Our recent nuclear magnetic resonance (NMR) structure of ε provides a useful starting point toward a detailed understanding of HBV replication, and hints at the functional importance of ε dynamics. Here, we present a detailed description of ε motions on the ps to ns and μs to ms time scales by NMR spin relaxation and relaxation dispersion, respectively. We also carried out molecular dynamics simulations to provide additional insight into ε conformational dynamics. These data outline a series of complex motions on multiple time scales within ε. Moreover, these motions occur in mostly conserved nucleotides from structural regions (i.e., priming loop, pseudo-triloop, and U43 bulge) that biochemical and mutational studies have shown to be essential for P binding, P-pgRNA packaging, protein-priming, and DNA synthesis. Taken together, our work implicates RNA dynamics as an integral feature that governs HBV replication.

Surprising absence of strong homonuclear coupling at low magnetic field explored by two-field nuclear magnetic resonance spectroscopy

Strong coupling of nuclear spins, which is achieved when their scalar coupling 2 π J is greater than or comparable to the difference Δ ω in their Larmor precession frequencies in an external magnetic field, gives rise to efficient coherent longitudinal polarization transfer. The strong coupling regime can be achieved when the external magnetic field is sufficiently low, as Δ ω is reduced proportional to the field strength. In the present work, however, we demonstrate that in heteronuclear spin systems these simple arguments may not hold, since heteronuclear spin-spin interactions alter the Δ ω value. The experimental method that we use is two-field nuclear magnetic resonance (NMR), exploiting sample shuttling between the high field, at which NMR spectra are acquired, and the low field, where strong couplings are expected and at which NMR pulses can be applied to affect the spin dynamics. By using this technique, we generate zero-quantum spin coherences by means of a nonadiabatic passage through a level anticrossing and study their evolution at the low field. Such zero-quantum coherences mediate the polarization transfer under strong coupling conditions. Experiments performed with a 13 C -labeled amino acid clearly show that the coherent polarization transfer at the low field is pronounced in the 13 C spin subsystem under proton decoupling. However, in the absence of proton decoupling, polarization transfer by coherent processes is dramatically reduced, demonstrating that heteronuclear spin-spin interactions suppress the strong coupling regime, even when the external field is low. A theoretical model is presented, which can model the reported experimental results.

NMR probing of invisible excited states using selectively labeled RNAs

Carr-Purcell-Meiboom-Gill (CPMG) relaxation dispersion NMR experiments are invaluable for probing sparsely and transiently populated biomolecular states that cannot be directly detected by traditional NMR experiments and that are invisible by other biophysical approaches. A notable gap for RNA is the absence of CPMG experiments for measurement of methine base ¹H and methylene C5' chemical shifts of ribose moieties in the excited state, partly because of complications from homonuclear ¹³C-¹³C scalar couplings. Here we present site-specific ¹³C labeling that makes possible the design of pulse sequences for recording accurate ¹H-¹³C MQ and SQ CPMG experiments for ribose methine H1'-C1' and H2'-C2', base and ribose ¹H CPMG, as well as a new ¹H-¹³C TROSY-detected methylene (CH₂) C5' CPMG relaxation pulse schemes. We demonstrate the utility of these experiments for two RNAs, the A-Site RNA known to undergo exchange and the IRE RNA suspected of undergoing exchange on microseconds to millisecond time-scale. We anticipate the new labeling approaches will facilitate obtaining structures of invisible states and provide insights into the relevance of such states for RNA-drug interactions.

Quantitative measurement of exchange dynamics in proteins via (13)C relaxation dispersion of (13)CHD2-labeled samples

Methyl groups have emerged as powerful probes of protein dynamics with timescales from picoseconds to seconds. Typically, studies involving high molecular weight complexes exploit (13)CH3- or (13)CHD2-labeling in otherwise highly deuterated proteins. The (13)CHD2 label offers the unique advantage of providing (13)C, (1)H and (2)H spin probes, however a disadvantage has been the lack of an experiment to record (13)C Carr-Purcell-Meiboom-Gill relaxation dispersion that monitors millisecond time-scale dynamics, implicated in a wide range of biological processes. Herein we develop an experiment that eliminates artifacts that would normally result from the scalar coupling between (13)C and (2)H spins that has limited applications in the past. The utility of the approach is established with a number of applications, including measurement of ms dynamics of a disease mutant of a 320 kDa p97 complex.

A (15)N CPMG relaxation dispersion experiment more resistant to resonance offset and pulse imperfection

Carr-Purcell-Meiboom-Gill (CPMG) relaxation dispersion is a powerful NMR method to study protein dynamics on the microsecond-millisecond time scale. J-coupling, resonance offset, radio frequency field inhomogeneity, and pulse imperfection often introduce systematic errors into the measured transverse relaxation rates. Here we proposed a modified continuous wave decoupling CPMG experiment, which is more unaffected by resonance offset and pulse imperfection. We found that it is unnecessary to match the decoupling field strength with the delay between CPMG refocusing pulses, provided that decoupling field is strong enough. The performance of the scheme proposed here was shown by simulations and further demonstrated experimentally on a fatty acid binding protein.

Probing RNA dynamics via longitudinal exchange and CPMG relaxation dispersion NMR spectroscopy using a sensitive 13C-methyl label

The refolding kinetics of bistable RNA sequences were studied in unperturbed equilibrium via ¹³C exchange NMR spectroscopy. For this purpose a straightforward labeling technique was elaborated using a 2′-¹³C-methoxy uridine modification, which was prepared by a two-step synthesis and introduced into RNA using standard protocols. Using ¹³C longitudinal exchange NMR spectroscopy the refolding kinetics of a 20 nt bistable RNA were characterized at temperatures between 298 and 310 K, yielding the enthalpy and entropy differences between the conformers at equilibrium and the activation energy of the refolding process. The kinetics of a more stable 32 nt bistable RNA could be analyzed by the same approach at elevated temperatures, i.e. at 314 and 316 K. Finally, the dynamics of a multi-stable RNA able to fold into two hairpin- and a pseudo-knotted conformation was studied by ¹³C relaxation dispersion NMR spectroscopy.

Probing microsecond time scale dynamics in proteins by methyl (1)H Carr-Purcell-Meiboom-Gill relaxation dispersion NMR measurements. Application to activation of the signaling protein NtrC(r)

To study microsecond processes by relaxation dispersion NMR spectroscopy, low power deposition and short pulses are crucial and encourage the development of experiments that employ (1)H Carr-Purcell-Meiboom-Gill (CPMG) pulse trains. Herein, a method is described for the comprehensive study of microsecond to millisecond time scale dynamics of methyl groups in proteins, exploiting their high abundance and favorable relaxation properties. In our approach, protein samples are produced using [(1)H, (13)C]-d-glucose in ∼100% D(2)O, which yields CHD(2) methyl groups for alanine, valine, threonine, isoleucine, leucine, and methionine residues with high abundance, in an otherwise largely deuterated background. Methyl groups in such samples can be sequence-specifically assigned to near completion, using (13)C TOCSY NMR spectroscopy, as was recently demonstrated (Otten, R.; et al. J. Am. Chem. Soc. 2010, 132, 2952-2960). In this Article, NMR pulse schemes are presented to measure (1)H CPMG relaxation dispersion profiles for CHD(2) methyl groups, in a vein similar to that of backbone relaxation experiments. Because of the high deuteration level of methyl-bearing side chains, artifacts arising from proton scalar coupling during the CPMG pulse train are negligible, with the exception of Ile-δ1 and Thr-γ2 methyl groups, and a pulse scheme is described to remove the artifacts for those residues. Strong (13)C scalar coupling effects, observed for several leucine residues, are removed by alternative biochemical and NMR approaches. The methodology is applied to the transcriptional activator NtrC(r), for which an inactive/active state transition was previously measured and the motions in the microsecond time range were estimated through a combination of backbone (15)N CPMG dispersion NMR spectroscopy and a collection of experiments to determine the exchange-free component to the transverse relaxation rate. Exchange contributions to the (1)H line width were detected for 21 methyl groups, and these probes were found to collectively report on a local structural rearrangement around the phosphorylation site, with a rate constant of (15.5 ± 0.5) × 10(3) per second (i.e., τ(ex) = 64.7 ± 1.9 μs). The affected methyl groups indicate that, already before phosphorylation, a substantial, transient rearrangement takes place between helices 3 and 4 and strands 4 and 5. This conformational equilibrium allows the protein to gain access to the active, signaling state in the absence of covalent modification through a shift in a pre-existing dynamic equilibrium. Moreover, the conformational switching maps exactly to the regions that differ between the solution NMR structures of the fully inactive and active states. These results demonstrate that a cost-effective and quantitative study of protein methyl group dynamics by (1)H CPMG relaxation dispersion NMR spectroscopy is possible and can be applied to study functional motions on the microsecond time scale that cannot be accessed by backbone (15)N relaxation dispersion NMR. The use of methyl groups as dynamics probes extends such applications also to larger proteins.

Measurement of methyl axis orientations in invisible, excited states of proteins by relaxation dispersion NMR spectroscopy

Few detailed studies of transiently populated conformations of biological molecules have emerged despite the fact that such states are often important to processes such as protein folding, enzyme catalysis, molecular recognition and binding. A major limitation has been the lack of experimental tools to study these often invisible, short-lived conformers. Recent advances in relaxation dispersion NMR spectroscopy are changing this paradigm with the potential to generate high resolution structural information which is necessary for a rigorous characterization of these states. In this study, we present an experimental method for establishing the relative orientations of methyl groups in invisible, excited states of proteins by measuring methyl (1)H-(13)C residual dipolar couplings (RDCs). In our approach, four two-dimensional spectra are acquired at a pair of static magnetic fields. Each spectrum contains one of the four isolated multiplet components of a coupled methyl carbon, whose signal intensities, modulated by the pulsing frequency of a Carr-Purcell-Meiboom-Gill (CPMG) element, are sensitive to both chemical shift and RDC differences between exchanging states. In addition, data sets from a CPMG experiment which monitors the decay of in-phase methyl (13)C magnetization are recorded, that are sensitive only to the differences in chemical shifts between the states. Using our methodology, RDC values obtained from an invisible state in an exchanging system are shown to be in good agreement with the corresponding values measured under conditions where the invisible state is stabilized to become the highly populated ground state. The approach allows the measurement of anisotropic restraints at methyl positions in excited states and complements previously developed experiments focusing on the protein backbone.

An analysis of the effects of 1HN-(1)HN dipolar couplings on the measurement of amide bond vector orientations in invisible protein states by relaxation dispersion NMR

Marginally and transiently populated conformational states of biomolecules can play important functional roles in biochemical processes. It is of significant interest, therefore, to develop tools for characterizing the structural and dynamical properties of these excited states. One recent development has been the emergence of spin-state-selective relaxation dispersion methods for quantifying dipolar vector orientations in invisible excited-state conformers through measurement of residual dipolar couplings (RDCs). Particularly powerful are 1HN-(15)N RDCs that can be measured with high sensitivity on fractionally aligned, deuterated, uniformly 15N-labeled protein samples. Fractional alignment also produces nonzero 1HN-(1)HN dipolar couplings. These can be problematic for the extraction of robust 1HN-(15)N RDC values, and hence amide bond vector orientations, in cases where the amide proton of interest and a proximal amide proton have small chemical shift differences and a significant 1HN-(1)HN dipolar coupling. Here, we show that while this strong coupling effect leads to aberrant relaxation dispersion profiles, extracted excited-state 1HN-(15)N RDCs are for the most part only marginally affected. Experimental examples of such aberrant profiles are provided, as well as a theoretical consideration of the influence of this strong coupling effect and numerical simulations that assess its impact on extracted parameters.

CPMG relaxation dispersion NMR experiments measuring glycine 1H alpha and 13C alpha chemical shifts in the 'invisible' excited states of proteins

Carr-Purcell-Meiboom-Gill (CPMG) relaxation dispersion NMR experiments are extremely powerful for characterizing millisecond time-scale conformational exchange processes in biomolecules. A large number of such CPMG experiments have now emerged for measuring protein backbone chemical shifts of sparsely populated (>0.5%), excited state conformers that cannot be directly detected in NMR spectra and that are invisible to most other biophysical methods as well. A notable deficiency is, however, the absence of CPMG experiments for measurement of (1)H(alpha) and (13)C(alpha) chemical shifts of glycine residues in the excited state that reflects the fact that in this case the (1)H(alpha), (13)C(alpha) spins form a three-spin system that is more complex than the AX (1)H(alpha)-(13)C(alpha) spin systems in the other amino acids. Here pulse sequences for recording (1)H(alpha) and (13)C(alpha) CPMG relaxation dispersion profiles derived from glycine residues are presented that provide information from which (1)H(alpha), (13)C(alpha) chemical shifts can be obtained. The utility of these experiments is demonstrated by an application to a mutant of T4 lysozyme that undergoes a millisecond time-scale exchange process facilitating the binding of hydrophobic ligands to an internal cavity in the protein.

Probing chemical shifts of invisible states of proteins with relaxation dispersion NMR spectroscopy: how well can we do?

Carr-Purcell-Meiboom-Gill relaxation dispersion NMR spectroscopy has evolved into a powerful approach for the study of low populated, invisible conformations of biological molecules. One of the powerful features of the experiment is that chemical shift differences between the exchanging conformers can be obtained, providing structural information about invisible excited states. Through the development of new labeling approaches and NMR experiments it is now possible to measure backbone 13C(alpha) and 13CO relaxation dispersion profiles in proteins without complications from 13C-13C couplings. Such measurements are presented here, along with those that probe exchange using 15N and 1HN nuclei. A key experimental design has been the choice of an exchanging system where excited-state chemical shifts were known from independent measurement. Thus it is possible to evaluate quantitatively the accuracy of chemical shift differences obtained in dispersion experiments and to establish that in general very accurate values can be obtained. The experimental work is supplemented by computations that suggest that similarly accurate shifts can be measured in many cases for systems with exchange rates and populations that fall within the range of those that can be quantified by relaxation dispersion. The accuracy of the extracted chemical shifts opens up the possibility of obtaining quantitative structural information of invisible states of the sort that is now available from chemical shifts recorded on ground states of proteins.

An improved 15N relaxation dispersion experiment for the measurement of millisecond time-scale dynamics in proteins

A new (15)N constant-time relaxation dispersion pulse scheme for the quantification of millisecond time-scale exchange dynamics in proteins is presented. The experiment differs from previously developed sequences in that it includes (1)H continuous-wave decoupling during the (15)N Carr-Purcell-Meiboom-Gill (CPMG) pulse train that significantly improves the relaxation properties of (15)N magnetization, leading to sensitivity gains in experiments. Moreover, it is shown that inclusion of an additional (15)N 180 degrees refocusing pulse (phase cycled +/- x) in the center of the CPMG pulse train, consisting of 1(5)N 180 degrees (y) pulses, provides compensation for pulse imperfections beyond the normal CPMG scheme. Relative to existing relaxation-compensated constant-time relaxation dispersion pulse schemes, nu(CPMG) values that are only half as large can be employed, offering increased sensitivity to slow time-scale exchange processes. The robustness of the methodology is illustrated with applications involving a pair of proteins: an SH3 domain that does not show millisecond time-scale exchange and an FF domain with significant chemical exchange contributions.