Mathematical treatment of adiabatic fast passage pulses for the computation of nuclear spin relaxation rates in proteins with conformational exchange.

Although originally designed for broadband inversion and decoupling in NMR spectroscopy, recent methodological developments have introduced adiabatic fast passage (AFP) pulses into the field of protein dynamics. AFP pulses employ a frequency sweep, and have not only superior inversion properties with respect to offset effects, but they are also easily implemented into a pulse sequence. As magnetization is dragged from the +z to the -z direction, Larmor precession is impeded since magnetization becomes spin-locked, which is a potentially useful feature for the investigation of microsecond to millisecond dynamics. A major drawback of these pulses as theoretical prediction is concerned, however, results from their time-dependent offset: simulations of spin density matrices under the influence of a time-dependent Hamiltonian with non-commuting elements are costly in terms of computational time, rendering data analysis impracticable. In this paper we suggest several ways to reduce the computational time without compromising accuracy with respect to effects such as cross-correlated relaxation and modulation of the chemical shift.

The metastasis-associated extracellular matrix protein osteopontin forms transient structure in ligand interaction sites.

Osteopontin (OPN) is an acidic hydrophilic glycophosphoprotein that was first identified as a major sialoprotein in bones. It functions as a cell attachment protein displaying a RGD cell adhesion sequence and as a cytokine that signals through integrin and CD44 cell adhesion molecules. OPN is also implicated in human tumor progression and cell invasion. OPN has intrinsic transforming activity, and elevated OPN levels promote metastasis. OPN gene expression is also strongly activated in avian fibroblasts simultaneously transformed by the v-myc and v-mil(raf) oncogenes. Here we have investigated the solution structure of a 220-amino acid recombinant OPN protein by an integrated structural biology approach employing bioinformatic sequence analysis, multidimensional nuclear magnetic resonance spectroscopy, synchrotron radiation circular dichroism spectroscopy, and small-angle X-ray scattering. These studies suggest that OPN is an intrinsically unstructured protein in solution. Although OPN does not fold into a single defined structure, its conformational flexibility significantly deviates from random coil-like behavior. OPN comprises distinct local secondary structure elements with reduced conformational flexibility and substantially populates a compact subspace displaying distinct tertiary contacts. These compacted regions of OPN encompass the binding sites for α(V)ß(III) integrin and heparin. The conformational flexibility combined with the modular architecture of OPN may represent an important structural prerequisite for its functional diversity.

Pharmacophore mapping via cross-relaxation during adiabatic fast passage.

A novel NMR method is demonstrated for the investigation of protein ligand interactions. In this approach an adiabatic fast passage pulse, i.e. a long, weak pulse with a linear frequency sweep, is used to probe (1)H-(1)H NOEs. During the adiabatic fast passage the effective rotating-frame NOE is a weighted average of transverse and longitudinal cross-relaxation contributions that can be tuned by pulse power and frequency sweep rate. It is demonstrated that the occurrence of spin diffusion processes leads to sizable deviations from the theoretical relationship between effective relaxation rate and effective tilt angle in the spin lock frame and can be used to probe protein-ligand binding. This methodology comprises high sensitivity and ease of implementation. The feasibility of this technique is demonstrated with two protein complexes, vanillic acid bound to the quail lipocalin Q83 and NAD(+) and AMP binding to alcohol dehydrogenase (ADH).

Measurement of signs of chemical shift differences between ground and excited protein states: a comparison between H(S/M)QC and R1rho methods.

Carr-Purcell-Meiboom-Gill (CPMG) relaxation dispersion NMR spectroscopy has emerged as a powerful tool for quantifying the kinetics and thermodynamics of millisecond exchange processes between a major, populated ground state and one or more minor, low populated and often invisible 'excited' conformers. Analysis of CPMG data-sets also provides the magnitudes of the chemical shift difference(s) between exchanging states (|Deltavarpi|), that inform on the structural properties of the excited state(s). The sign of Deltavarpi is, however, not available from CPMG data. Here we present one-dimensional NMR experiments for measuring the signs of (1)H(N) and (13)C(alpha) Deltavarpi values using weak off-resonance R (1rho ) relaxation measurements, extending the spin-lock approach beyond previous applications focusing on the signs of (15)N and (1)H(alpha) shift differences. The accuracy of the method is established by using an exchanging system where the invisible, excited state can be converted to the visible, ground state by altering conditions so that the signs of Deltavarpi values obtained from the spin-lock approach can be validated with those measured directly. Further, the spin-lock experiments are compared with the established H(S/M)QC approach for measuring the signs of chemical shift differences. For the Abp1p and Fyn SH3 domains considered here it is found that while H(S/M)QC measurements provide signs for more residues than the spin-lock data, the two different methodologies are complementary, so that combining both approaches frequently produces signs for more residues than when the H(S/M)QC method is used alone.

Measuring the signs of 1H(alpha) chemical shift differences between ground and excited protein states by off-resonance spin-lock R(1rho) NMR spectroscopy.

Analysis of Carr-Purcell-Meiboom-Gill (CPMG) relaxation dispersion NMR profiles provides the kinetics and thermodynamics of millisecond-time-scale exchange processes involving the interconversion of populated ground and invisible excited states. In addition, the absolute values of chemical shift differences between NMR probes in the exchanging states, |Delta omega|, are also extracted. Herein, we present a simple experiment for obtaining the sign of (1)H(alpha) Delta omega values by measuring off-resonance (1)H(alpha) decay rates, R(1rho), using weak proton spin-lock fields. A pair of R(1rho) values is measured with a spin-lock field applied |Delta omega| downfield and upfield of the major-state peak. In many cases, these two relaxation rates differ substantially, with the larger one corresponding to the case where the spin-lock field coincides with the resonance frequency of the probe in the minor state. The utility of the methodology is demonstrated first on a system involving protein ligand exchange and subsequently on an SH3 domain exchanging between a folded state and its on-pathway folding intermediate. With this experiment, it thus becomes possible to determine (1)H(alpha) chemical shifts of the invisible excited state, which can be used as powerful restraints in defining the structural properties of these elusive conformers.

Autocorrelation analysis of NOESY data provides residue compactness for folded and unfolded proteins.

A novel spectral entropy interpretation for protein NOESY data is presented for the investigation of the spatial distribution of residues in protein structures without the requirement of NOE cross peak assignments. In this approach individual traces S(i)(omega) from a 3D (15)N NOESY-HSQC taken at frequency positions corresponding to different amide groups (residue position i) are subjected to a self-convolution procedure thus leading to the autocorrelation function C(i)(omega) of the NOESY-trace for a particular backbone residue position. The characteristic spatial surrounding of a particular residue position is reflected in the corresponding autocorrelation function and can be quantified by taking the (spectral) entropy S(nu) as an information measure. The feasibility of this novel approach is demonstrated with applications to the proteins Cyclophilin D and Osteopontin and the protein complex between the lipocalin Q83 and the bacterial siderophore Enterobactin. Typically, large entropy values were found for residues located in structurally loosely defined regions, whereas small entropy values were found for residues in hydrophobic core regions of the protein with tightly interacting side chains and distinct chemical shift patterns. The applications to the unfolded Osteopontin and the Q83/Enterobactin protein complex indicated that both local compaction of the polypeptide chain due to transiently formed structural elements and subtle changes in side-chain packing can be efficiently probed by this novel approach.

Direct methods and residue type specific isotope labeling in NMR structure determination and model-driven sequential assignment.

Direct methods in NMR based structure determination start from an unassigned ensemble of unconnected gaseous hydrogen atoms. Under favorable conditions they can produce low resolution structures of proteins. Usually a prohibitively large number of NOEs is required, to solve a protein structure ab-initio, but even with a much smaller set of distance restraints low resolution models can be obtained which resemble a protein fold. One problem is that at such low resolution and in the absence of a force field it is impossible to distinguish the correct protein fold from its mirror image. In a hybrid approach these ambiguous models have the potential to aid in the process of sequential backbone chemical shift assignment when (13)C(beta) and (13)C' shifts are not available for sensitivity reasons. Regardless of the overall fold they enhance the information content of the NOE spectra. These, combined with residue specific labeling and minimal triple-resonance data using (13)C(alpha) connectivity can provide almost complete sequential assignment. Strategies for residue type specific labeling with customized isotope labeling patterns are of great advantage in this context. Furthermore, this approach is to some extent error-tolerant with respect to data incompleteness, limited precision of the peak picking, and structural errors caused by misassignment of NOEs.