Broadband measurement of true transverse relaxation rates in systems with coupled protons: application to the study of conformational exchange

Rationalising spin relaxation during slice-selective refocusing pulses

Slice-selective refocusing pulses are powerful building blocks in contemporary magnetic resonance experiments, but their use in quantitative applications is complicated by the site-dependent signal loss they introduce. One source of this attenuation is the spin relaxation that occurs during such pulses, which causes losses that depend on the specific longitudinal and transverse relaxation time constants for a given resonance. This dependence is complicated both by any amplitude shaping of the radiofrequency pulse, and by the presence of the spatial encoding pulsed field gradient. The latter causes the net signal measured to be the weighted sum of signal contributions from a continuous range of offsets from resonance. In general, each offset will make a different contribution to the overall signal, and will be attenuated by a different mixture of longitudinal and transverse relaxation that is dictated by the different trajectories that the nuclear magnetisations take during experiments. Despite this complex behaviour, we present evidence from experiments and numerical simulations showing that in practical experimental applications a relatively simple empirical function can be used to accurately predict relaxational attenuation during slice-selective refocusing pulses. This approach may be of practical use in correcting for relaxational losses in quantitative applications of slice-selective pulse methods such as Zangger-Sterk pure shift NMR.

Rapid Characterization of Structural and Behavioral Changes of Therapeutic Proteins by Relaxation and Diffusion 1H-SOFAST NMR Experiments

Biologic drugs have emerged as a rapidly expanding and important modality, offering promising therapeutic solutions by interacting with previously "undruggable" targets, thus significantly expanding the range of modern pharmaceutical applications. However, the inherent complexity of these drugs also introduces liabilities and poses challenges in their development, necessitating efficient screening methods to evaluate the structural stability and behavior. Although nuclear magnetic resonance (NMR) spectroscopy is well-suited for detecting weak interactions, changes in dynamics, high-order structure, and association states of macromolecules in fully formulated samples, the inherent low sensitivity limits its utility as a fast screening and characterization tool. In this study, we present two fast pulsing NMR experiments, namely the band-Selective Optimized Flip-Angle Internally encoded Relaxation (SOFAIR) and the band-Selective Optimized Flip-angle Internally encoded Translational diffusion (SOFIT)), which enable rapid and reliable measurements of transverse relaxation rates and diffusion coefficients with more than 10-fold higher sensitivity compared to commonly used methods, like Carr-Purcell-Meiboom-Gill and diffusion-ordered spectroscopy, allowing the rapid assessment of biologics even at low concentrations. We demonstrated the effectiveness and versatility of these experiments by evaluating several examples, including thermally stressed proteins, proteins at different concentrations, and a therapeutic protein in various formulations. We anticipate that these novel approaches will greatly facilitate the analysis and characterization of biologics during drug discovery.

Tether-entangled conjugated helices

A new design concept, tether-entangled conjugated helices (TECHs), is introduced for helical polyaromatic molecules. TECHs consist of a linear polyaromatic ladder backbone and periodically entangling tethers with the same planar chirality. By limiting the length of tether, all tethers synchronously bend and twist the backbone with the same manner, and change it into a helical ribbon with a determinate helical chirality. The 3D helical features are customizable via modular synthesis by using two types of synthons, the planar chiral tethering unit (C 2 symmetry) and the docking unit (C 2h symmetry), and no post chiral resolution is needed. Moreover, TECHs possess persistent chiral properties due to the covalent locking of helical configuration by tethers. Concave-type and convex-type oligomeric TECHs are prepared as a proof-of-concept. Unconventional double-helix π-dimers are observed in the single crystals of concave-type TECHs. Theoretical studies indicate the smaller binding energies in double-helix π-dimers than conventional planar π-dimers. A concentration-depend emission is found for concave-type TECHs, probably due to the formation of double-helix π-dimers in the excited state. All TECHs show strong circularly polarized luminescence (CPL) with dissymmetric factors (|g lum|) generally over 10-3. Among them, the (P)-T4-tBu shows the highest |g lum| of 1.0 × 10-2 and a high CPL brightness of 316 M-1 cm-1.

Universally Quantitative Band-Selective Pure Shift NMR Spectroscopy

NMR spectroscopy is often described as a quantitative analytical technique. Strictly, only the simple pulse-acquire experiment is universally quantitative, but the poor signal resolution of the 1H NMR pulse-acquie experiment frequently complicates quantitative analysis. Pure shift NMR techniques provide higher resolution, by reducing signal overlap, but they are susceptible to a variety of sources of site-dependent signal loss. Here, we introduce a new method that corrects for signal loss from such sources in band-selective pure shift NMR experiments, by performing different numbers of iterations of the same pulse sequence elements before acquisition to allow extrapolation back to the loss-free signal. We apply this method to both interferogram and semi-realtime acquisition modes, obtaining integrals within 1% of those acquired from a pulse-acquire experiment for a three-component mixture.

A "Steady-State" Relaxation Dispersion Nuclear Magnetic Resonance Experiment for Studies of Chemical Exchange in Degenerate 1H Transitions of Methyl Groups

Degenerate spin-systems consisting of magnetically equivalent nuclear spins, such as a ¹H₃ spin-system in selectively ¹³CH₃-labeled proteins, present considerable challenges for the design of Carr-Purcell-Meiboom-Gill (CPMG) relaxation dispersion NMR experiments to characterize chemical exchange on the micro-to-millisecond time-scale. Several approaches have been previously proposed for the elimination of deleterious artifacts observed in methyl ¹H CPMG relaxation dispersion profiles obtained for (¹³C)¹H₃ groups. We describe an alternative, experimentally simple solution and design a "steady-state" methyl ¹H CPMG scheme, where 90° or acute-angle (<90°) ¹H radiofrequency pulses are applied after each CPMG echo in-phase with methyl ¹H magnetization, resulting in the establishment of a "steady-state" for effective rates of magnetization decay. A simple computational procedure for quantitative analysis of the "steady-state" CPMG relaxation dispersion profiles is developed. The "steady-state" CPMG methodology is applied to two protein systems where exchange between major and minor species occurs in different regimes on the chemical shift time-scale.

Giving Pure Shift NMR Spectroscopy a REST─Ultrahigh-Resolution Mixture Analysis

Most interesting problems in chemistry, biology, and pharmacy involve mixtures. However, analysis of such mixtures by NMR remains a challenge, often requiring the mixture components to be physically separated before analysis. A variety of methods have been proposed that exploit species-specific properties such as diffusion and relaxation to distinguish between the signals of different components in a mixture without the need for laborious separation. However, these methods can struggle to distinguish between components when signals overlap. Here, we exploit the relaxation properties of selected nuclei to distinguish between different components of a mixture while using pure shift methods to increase spectral resolution by up to an order of magnitude, greatly reducing signal overlap. The advantages of the new method are demonstrated in a mixture of d-xylose and l-arabinose, distinguishing unambiguously between the five major species present.