Distances obtained from nuclear magnetic resonance nuclear Overhauser effect and relaxation time. Measurements in organic structure determination. Distances involving internally rotating methyl groups. Application to cis- and trans-crotonaldehyde

Flexibility Coexists with Shape-Persistence in Cyanostar Macrocycles

Shape-persistent macrocycles are attractive functional targets for synthesis, molecular recognition, and hierarchical self-assembly. Such macrocycles are noncollapsible and geometrically well-defined, and they are traditionally characterized by having repeat units and low conformational flexibility. Here, we find it necessary to refine these ideas in the face of highly flexible yet shape-persistent macrocycles. A molecule is shape-persistent if it has a small change in shape when perturbed by external stimuli (e.g., heat, light, and redox chemistry). In support of this idea, we provide the first examination of the relationships between a macrocycle's shape persistence, its conformational space, and the resulting functions. We do this with a star-shaped macrocycle called cyanostar that is flexible as well as being shape-persistent. We employed molecular dynamics (MD), density functional theory (DFT), and NMR experiments. Considering a thermal bath as a stimulus, we found a single macrocycle has 332 accessible conformers with olefins undergoing rapid interconversion by up-down and in-out motions on short time scales (0.2 ns). These many interconverting conformations classify single cyanostars as flexible. To determine and confirm that cyanostars are shape-persistent, we show that they have a high 87% shape similarity across these conformations. To further test the idea, we use the binding of diglyme to the single macrocycle as guest-induced stimulation. This guest has almost no effect on the conformational space. However, formation of a 2:1 sandwich complex involving two macrocycles enhances rigidity and dramatically shifts the conformer distribution toward perfect bowls. Overall, the present study expands the scope of shape-persistent macrocycles to include flexible macrocycles if, and only if, their conformers have similar shapes.

Nuclear-spin relaxation in nonrigid molecules: discrete multisite local dynamics combined with anisotropic molecular reorientation

Nuclear-spin relaxation is considered in a molecular system undergoing two types of dynamic processes: asymmetric-top small-step rotational diffusion and discrete multisite local jumps. The two processes are assumed to be uncorrelated. Time correlation functions for relevant rank-two interactions and corresponding spectral density functions are derived for a general relation between the characteristic rate constants. In addition, limiting cases of fast and slow local motions and of some specific jump conditions are also investigated.

A Monte Carlo method for conformational analysis of saccharides

A Metropolis Monte Carlo (MMC) algorithm was applied to explore conformational spaces spanned by the exocyclic dihedral angles of four disaccharides alpha-D-Man(1-->3)-alpha-D-Man(1-->O)Me (1), alpha-D-Man(1-->2)-alpha-D-Man(1-->O)Me (2), methyl beta-cellobioside (3), and methyl beta-maltoside (4). The simulation method uses the HSEA force field and randomly samples the conformational space with an automatic preference for low-energy states. In comparison to a systematic grid search, MMC offers a much more convenient and efficient protocol for the computation of ensemble average values of experimentally accessible NMR parameters such as NOE effects or 3J coupling constants. Energy barriers of a few kcal/mol were found to be surmounted easily when running the simulations with the temperature parameter set at room temperature, whereas passing significantly higher barriers required elevated temperature parameters. Ensemble average NOE values were calculated using the MMC technique and a conventional systematic grid search showing that the MMC method adequately samples the conformational spaces of 1-4. Theoretical NOEs derived for global or local minimum conformations are different from ensemble average values, and it is shown that averaged NOEs agree significantly better with experimental data. Ensemble average NOEs for 1 derived from MMC/HSEA, and previously reported MM2CARB and AMBER calculations all showed good agreement with experimental data, with MMC/HSEA giving the closest fit.

Solution conformation of purine-pyrimidine DNA octamers using nuclear magnetic resonance, restrained molecular dynamics and NOE-based refinement

The solution structures of two alternating purine-pyrimidine octamers, [d(G-T-A-C-G-T-A-C)]2 and the reverse sequence [d(C-A-T-G-C-A-T-G)]2, are investigated by using nuclear magnetic resonance spectroscopy and restrained molecular dynamics calculations. Chemical shift assignments are obtained for non-exchangeable protons by a combination of two-dimensional correlation and nuclear Overhauser enhancement (NOE) spectroscopy experiments. Distances between protons are estimated by extrapolating distances derived from time-dependent NOE measurements to zero mixing time. Approximate dihedral angles are determined within the deoxyribose ring from coupling constants observed in one and two-dimensional spectra. Sets of distance and dihedral determinations for each of the duplexes form the bases for structure determination. Molecular dynamics is then used to generate structures that satisfy the experimental restraints incorporated as effective potentials into the total energy. Separate runs start from classical A and B-form DNA and converge to essentially identical structures. To circumvent the problems of spin diffusion and differential motion associated with distance measurements within molecules, models are improved by NOE-based refinement in which observed NOE intensities are compared to those calculated using a full matrix analysis procedure. The refined structures generally have the global features of B-type DNA. Some, but not all, variations in dihedral angles and in the spatial relationships of adjacent base-pairs are observed to be in synchrony with the alternating purine-pyrimidine sequence.

Use of lanthanide-induced nuclear magnetic resonance shifts for determination of protein structure in solution: EF calcium binding site of carp parvalbumin

The binding of the paramagnetic lanthanide ion ytterbium to the calcium binding protein carp parvalbumin results in a series of 1H NMR resonances which are shifted far outside the envelope of the 1H NMR spectrum of the diamagnetic form of the protein; bound Yb3+ also induces shifts in the 13C NMR spectrum of parvalbumin and in the 113Cd NMR spectrum of cadmium-substituted parvalbumin. The interpretation of these lanthanide-shifted resonances in terms of the structure of the protein surrounding the metal binding site requires the determination of the orientation and principal elements of the magnetic susceptibility tensor of the protein-bound Yb3+ ion. A previous comparison [Lee, L., & Sykes, B. D. (1982) Biomolecular Structure Determination by NMR (Bothner-By, A. A., Glickson, J. D., & Sykes, B. D., Eds.) pp 169-188, Marcel Dekker, New York] of the observed Yb3+-shifted 1H NMR spectrum of parvalbumin with a calculated spectrum, based upon the X-ray structure and an initial determination of the magnetic susceptibility tensor, led to the conclusion that there were significant differences between the solution and X-ray structures. In this paper, the magnetic susceptibility tensor has been reevaluated with the aid of newly assigned 13C and 113Cd NMR resonances. The agreement between the calculated and observed spectra is now close overall.

Conformations in solution of alpha,alpha-trehalose, alpha-D-glucopyranosyl alpha-D-mannopyranoside, and their 1-thioglycosyl analogs, and a tentative correlation of their behaviour with respect to the enzyme trehalase

The conformation in solution of alpha-D-glucopyranosyl alpha-D-glucopyranoside (alpha,alpha-trehalose, 1), alpha-D-glucopyranosyl alpha-D-mannopyranoside (3) and their corresponding 1-thioglycosyl analogs, alpha-D-glucopyranosyl 1-thio-alpha-D-glucopyranoside (1-thio-alpha,alpha-trehalose, 2) and alpha-D-glucopyranosyl 1-thio-alpha-D-mannopyranoside (4) were established from high-resolution 1H-NMR and 13C-NMR measurements. These experimental results are in good agreement with the conformations as inferred from hard-sphere calculations. The dihedral angles phi H and psi H are not significantly different for the O-glycosyl disaccharides 1 and 3 compared with their 1-thioglycosyl analogs 2 and 4; however, the internuclear H-1--H-1' and H-1--H-5' distances appear to be longer for 1-thiodisaccharides. This may account for the differences in affinities of cockchafer trehalase which have been observed. This enzyme exhibits less affinity for the competitive inhibitor alpha-D-glucopyranosyl 1-thio-alpha-D-mannopyranoside (4) than for its O-glycosyl analog 3 (Ki 0.055 mM versus 0.0057 mM). From the similarity in Ki between 1-thio-alpha, alpha-trehalose and alpha-D-glucopyranosyl 1-thio-alpha-D-mannopyranoside (0.050 mM versus 0.055 mM), it is possible to assume a similar decrease in the enzymic affinity between the natural substrate (1) and the corresponding 1-thioglycosyl inhibitor (2), which can together be ascribed to the aforementioned difference in the conformation of the molecules.

Use of nuclear Overhauser effect in the study of peptides and proteins

The nuclear Overhauser effect (NOE) leads to changes in the intensity of signal(s) of a set of nuclei as a function of their respective distances. The use of NOE allows to obtain structural informations on peptides and proteins in solution as well as the study of interactions between small ligands and biomolecules. In this review, aspects of the basic theory of the NOE will be presented and the more recent applications of homonuclear and heteronuclear NOE's in biomolecules will be surveyed. Typical examples will be illustrated and limitations of the method will be discussed.

Reverse turns in peptides and proteins

The evidence that reverse turns frequently occur as structural components of proteins, as well as of linear and cyclic peptides, is overwhelming. This review summarizes and examines critically the experimental evidence derived from physical methods such as 1H and 13C nuclear magnetic resonance spectroscopy, spin-lattice relaxation time, circular dichroism, IR spectroscopy, and X-ray crystallography. Secondly, theoretical evidence obtained from energy calculations, which rely on empirical energy functions, and correlative methods, which rely on algorithms based on the frequency of occurrence of amino acids, is evaluated. In particular, those theoretical studies for which complementary physical studies have been completed are emphasized. Finally, examples of structure-function relationships involving reverse turns and their biological recognition are demonstrated.