Conformational Analysis of Swallowtail Motifs in Porphyrins.

Aqueous solubilization of porphyrins, often accomplished with appended polar aryl groups, can also be achieved with symmetrically branched alkyl (i.e., swallowtail) groups terminated with polar moieties.

High-frequency high-power DNP/EPR spectrometer operating at 7 T magnetic field.

One of the most essential prerequisites for the development of pulse Dynamic Nuclear Polarization (DNP) is the ability to generate high-power coherent mm-wave pulses at the electron precession frequencies corresponding to the magnetic fields of modern high-resolution NMR spectrometers. As a major step towards achieving this goal, an Extended Interaction Klystron (EIK) pulse amplifier custom-built by the Communications and Power Industries, Inc. and producing up to 140 W at 197.

Peptoid-based macrodiscs of variable lipid composition for structural studies of membrane proteins by oriented-sample solid-state NMR.

Solid-state Nuclear Magnetic Resonance (NMR) in combination with magnetically aligned discoidal lipid mimics allows for studying the conformations of membrane proteins in planar, lipid-rich bilayer environments and at the physiological temperature. We have recently demonstrated the general applicability of macrodiscs composed of DMPC lipids and peptoid belts, which yield magnetic alignment and NMR spectroscopic resolution comparable or superior to detergent-containing bicelles. Here we report on a considerable improvement in the magnetic alignment and NMR resolution of peptoid-based macrodiscs consisting of a mixture of the zwitterionic and negatively charged lipids (DMPC/DMPG at the 85% to 15% molar ratio).

Characterization of photonic band resonators for DNP NMR of thin film samples at 7 T magnetic field.

Polarization of nuclear spins via Dynamic Nuclear Polarization (DNP) relies on generating sufficiently high mm-wave B fields over the sample, which could be achieved by developing suitable resonance structures. Recently, we have introduced one-dimensional photonic band gap (1D PBG) resonators for DNP and reported on prototype devices operating at ca. 200 GHz electron resonance frequency.

H/C/N triple-resonance experiments for structure determinaton of membrane proteins by oriented-sample NMR.

The benefits of triple-resonance experiments for structure determination of macroscopically oriented membrane proteins by solid-state NMR are discussed. While double-resonance H/N experiments are effective for structure elucidation of alpha-helical domains, extension of the method of oriented samples to more complex topologies and assessing side-chain conformations necessitates further development of triple-resonance (H/C/N) NMR pulse sequences. Incorporating additional spectroscopic dimensions involving C spin-bearing nuclei, however, introduces essential complications arising from the wide frequency range of the H-C dipolar couplings and C CSA (>20 ​kHz), and the presence of the C-C homonuclear dipole-dipole interactions.

Computer-generated pulse sequences for H-N and H-C separated local-field experiments.

High-resolution separated local field (SLF) experiments are employed in oriented-sample solid state NMR to measure angular-dependent heteronuclear dipolar couplings for structure determination. While traditionally these experiments have been designed analytically by determining cycles of pulses with specific phases and durations to achieve cancellation of the homonuclear dipolar terms in the average Hamiltonian, recent work has introduced a computational approach to optimizing linewidths of the H-N dipolar resonances. Accelerated by GPU processors, a computer algorithm searches for the optimal parameters by simulating numerous H-N NMR spectra.

NMR "Crystallography" for Uniformly ( C, N)-Labeled Oriented Membrane Proteins.

In oriented-sample (OS) solid-state NMR of membrane proteins, the angular-dependent dipolar couplings and chemical shifts provide a direct input for structure calculations. However, so far only H- N dipolar couplings and N chemical shifts have been routinely assessed in oriented N-labeled samples. The main obstacle for extending this technique to membrane proteins of arbitrary topology has remained in the lack of additional experimental restraints.

De novo NMR pulse sequence design using Monte-Carlo optimization techniques.

Separated Local Field (SLF) experiments have been routinely used for measuring H-N heteronuclear dipolar couplings in oriented-sample solid-state NMR for structure determination of proteins. In the on-going pursuit of designing better-performing SLF pulse sequences (e.g.

Machine learning in NQR TNT express detection system.

Nuclear quadruple resonance (NQR) has excellent potential for the remote detection of nitrogen-containing substances, such as trinitrotoluene (TNT). However, using NQR techniques in security systems have some problems. For example, unknown temperature of the detecting explosives and low signal-to-noise ratio (SNR) leads to a priori uncertainty of the parameters of the NQR signal.

Validation of protein backbone structures calculated from NMR angular restraints using Rosetta.

Multidimensional solid-state NMR spectra of oriented membrane proteins can be used to infer the backbone torsion angles and hence the overall protein fold by measuring dipolar couplings and chemical shift anisotropies, which depend on the orientation of each peptide plane with respect to the external magnetic field. However, multiple peptide plane orientations can be consistent with a given set of angular restraints. This ambiguity is further exacerbated by experimental uncertainty in obtaining and interpreting such restraints.

Multi-resonant photonic band-gap/saddle coil DNP probehead for static solid state NMR of microliter volume samples.

The most critical condition for performing Dynamic Nuclear Polarization (DNP) NMR experiments is achieving sufficiently high electronic B fields over the sample at the matched EPR frequencies, which for modern high-resolution NMR instruments fall into the millimeter wave (mmW) range. Typically, mmWs are generated by powerful gyrotrons and/or extended interaction klystrons (EIKs) sources and then focused onto the sample by dielectric lenses. However, further development of DNP methods including new DNP pulse sequences may require B fields higher than one could achieve with the current mmW technology.

Photonic band-gap resonators for high-field/high-frequency EPR of microliter-volume liquid aqueous samples.

High-field EPR provides significant advantages for studying structure and dynamics of molecular systems possessing an unpaired electronic spin. However, routine use of high-field EPR in biophysical research, especially for aqueous biological samples, is still facing substantial technical difficulties stemming from high dielectric millimeter wave (mmW) losses associated with non-resonant absorption by water and other polar molecules. The strong absorbance of mmW's by water also limits the penetration depth to just fractions of mm or even less, thus making fabrication of suitable sample containers rather challenging.

Automated assignment of NMR spectra of macroscopically oriented proteins using simulated annealing.

An automated technique for the sequential assignment of NMR backbone resonances of oriented protein samples has been developed and tested based on N-N homonuclear exchange and spin-exchanged separated local-field spectra. By treating the experimental spectral intensity as a pseudopotential, the Monte-Carlo Simulated Annealing algorithm has been employed to seek lowest-energy assignment solutions over a large sampling space where direct enumeration would be unfeasible. The determined sequential assignments have been scored based on the positions of the crosspeaks resulting from the possible orders for the main peaks.

Protein Rotational Dynamics in Aligned Lipid Membranes Probed by Anisotropic T NMR Relaxation.

A membrane-bound form of Pf1 coat protein reconstituted in magnetically aligned DMPC/DHPC bicelles was used as a molecular probe to quantify for the viscosity of the lipid membrane interior by measuring the uniaxial rotational diffusion coefficient of the protein. Orientationally dependent N NMR relaxation times in the rotating frame, or T, were determined by fitting individually the decay of the resolved NMR peaks corresponding to the transmembrane helix of Pf1 coat protein as a function of the spin-lock time incorporated into the 2D SAMPI4 pulse sequence. The T relaxation mechanism was modeled by uniaxial rotational diffusion on a cone, which yields a linear correlation with respect to the bond factor sinθ, where θ is the angle that the NH bond forms with respect to the axis of rotation.

Sensitivity enhancement for membrane proteins reconstituted in parallel and perpendicular oriented bicelles obtained by using repetitive cross-polarization and membrane-incorporated free radicals.

Multidimensional separated local-field and spin-exchange experiments employed by oriented-sample solid-state NMR are essential for structure determination and spectroscopic assignment of membrane proteins reconstituted in macroscopically aligned lipid bilayers. However, these experiments typically require a large number of scans in order to establish interspin correlations. Here we have shown that a combination of optimized repetitive cross polarization (REP-CP) and membrane-embedded free radicals allows one to enhance the signal-to-noise ratio by factors 2.

Selective excitation for spectral editing and assignment in separated local field experiments of oriented membrane proteins.

Spectroscopic assignment of NMR spectra for oriented uniformly labeled membrane proteins embedded in their native-like bilayer environment is essential for their structure determination. However, sequence-specific assignment in oriented-sample (OS) NMR is often complicated by insufficient resolution and spectral crowding. Therefore, the assignment process is usually done by a laborious and expensive "shotgun" method involving multiple selective labeling of amino acid residues.

Optimization of cross-polarization at low radiofrequency fields for sensitivity enhancement in solid-state NMR of membrane proteins reconstituted in magnetically aligned bicelles.

Solid-state NMR (ssNMR) of oriented membrane proteins (MPs) is capable of providing structural and dynamic information at nearly physiological conditions. However, NMR experiments performed on oriented membrane proteins generally suffer from low sensitivity. Moreover, utilization of high-power radiofrequency (RF) irradiations for magnetization transfer may give rise to sample heating, thereby decreasing the efficiency of conventional cross-polarization schemes.

Nanotube array method for studying lipid-induced conformational changes of a membrane protein by solid-state NMR.

Anodic aluminum oxide substrates with macroscopically aligned homogeneous nanopores of 80 nm in diameter enable two-dimensional, solid-state nuclear magnetic resonance studies of lipid-induced conformational changes of uniformly (15)N-labeled Pf1 coat protein in native-like bilayers. The Pf1 helix tilt angles in bilayers composed of two different lipids are not entirely governed by the membrane thickness but could be rationalized by hydrophobic interactions of lysines at the bilayer interface. The anodic aluminum oxide alignment method is applicable to a broader repertoire of lipids versus bicelle bilayer mimetics currently employed in solid-state nuclear magnetic resonance of oriented samples, thus allowing for elucidation of the role played by lipids in shaping membrane proteins.

Coherent and stochastic averaging in solid-state NMR.

A new approach for calculating solid-state NMR lineshapes of uniaxially rotating membrane proteins under the magic-angle spinning conditions is presented. The use of stochastic Liouville equation (SLE) allows one to account for both coherent sample rotation and stochastic motional averaging of the spherical dipolar powder patterns by uniaxial diffusion of the spin-bearing molecules. The method is illustrated via simulations of the dipolar powder patterns of rigid samples under the MAS conditions, as well as the recent method of rotational alignment in the presence of both MAS and rotational diffusion under the conditions of dipolar recoupling.

Sensitivity enhancement and contrasting information provided by free radicals in oriented-sample NMR of bicelle-reconstituted membrane proteins.

Elucidating structure and topology of membrane proteins (MPs) is essential for unveiling functionality of these important biological constituents. Oriented-sample solid-state NMR (OS-NMR) is capable of providing such information on MPs under nearly physiological conditions. However, two dimensional OS-NMR experiments can take several days to complete due to long longitudinal relaxation times combined with the large number of scans to achieve sufficient signal sensitivity in biological samples.

Grid-free powder averages: on the applications of the Fokker-Planck equation to solid state NMR.

We demonstrate that Fokker-Planck equations in which spatial coordinates are treated on the same conceptual level as spin coordinates yield a convenient formalism for treating magic angle spinning NMR experiments. In particular, time dependence disappears from the background Hamiltonian (sample spinning is treated as an interaction), spherical quadrature grids are avoided completely (coordinate distributions are a part of the formalism) and relaxation theory with any linear diffusion operator is easily adopted from the Stochastic Liouville Equation theory. The proposed formalism contains Floquet theory as a special case.

A spectroscopic assignment technique for membrane proteins reconstituted in magnetically aligned bicelles.

Oriented-sample NMR (OS-NMR) has emerged as a powerful tool for the structure determination of membrane proteins in their physiological environments. However, the traditional spectroscopic assignment method in OS NMR that uses the "shotgun" approach, though effective, is quite labor- and time-consuming as it is based on the preparation of multiple selectively labeled samples. Here we demonstrate that, by using a combination of the spin exchange under mismatched Hartmann-Hahn conditions and a recent sensitivity-enhancement REP-CP sequence, spectroscopic assignment of solid-state NMR spectra of Pf1 coat protein reconstituted in magnetically aligned bicelles can be significantly improved.

Orientational and motional narrowing of solid-state NMR lineshapes of uniaxially aligned membrane proteins.

A unified theory for the NMR line shapes of aligned membrane proteins arising from uniaxial disorder (mosaic spread) and global rotational diffusion about the director axis is presented. A superoperator formalism allows one to take into account the effects of continuous radiofrequency irradiation and frequency offsets in the presence of dynamics. A general method based on the Stochastic Liouville Equation makes it possible to bridge the static and dynamic limits in a single model.