drkN SH3 Research Articles

Theory and Applications of Nitroxide-based Paramagnetic Cosolutes for Probing Intermolecular and Electrostatic Interactions on Protein Surfaces.

Solvent paramagnetic relaxation enhancement (sPRE) arising from nitroxide-based cosolutes has recently been used to provide an atomic view of cosolute-induced protein denaturation and to characterize residue-specific effective near-surface electrostatic potentials (ϕENS). Here, we explore distinct properties of the sPRE arising from nitroxide-based cosolutes and provide new insights into the interpretation of the sPRE and sPRE-derived ϕENS. We show that: (a) the longitudinal sPRE rate Γ1 is heavily dependent on spectrometer field and viscosity, while the transverse sPRE rate Γ2 is much less so; (b) the spectral density J(0) is proportional to the inverse of the relative translational diffusion constant and is related to the quantity ⟨r-4⟩norm, a concentration-normalized equilibrium average of the electron-proton interspin separation; and (c) attractive intermolecular interactions result in a shortening of the residue-specific effective correlation time for the electron-proton vector. We discuss four different approaches for evaluating ϕENS based on Γ2, J(0), Γ1, or ⟨r-6⟩norm. The latter is evaluated from the magnetic field dependence of Γ1 in conjunction with Γ2. Long-range interactions dominate J(0) and Γ2, while, at high magnetic fields, the contribution of short-range interactions becomes significant for J(ω) and hence Γ1; the four ϕENS quantities enable one to probe both long- and short-range electrostatic interactions. The experimental ϕENS potentials were evaluated using three model protein systems, two folded (ubiquitin and native drkN SH3) and one intrinsically disordered (unfolded state of drkN SH3), in relation to theoretical ϕENS potentials calculated from atomic coordinates using the Poisson-Boltzmann theory with either a r-6 or r-4 dependence.

Characterizing Transient Protein-Protein Interactions by Trp-Cys Quenching and Computer Simulations.

Transient protein-protein interactions occur frequently under the crowded conditions encountered in biological environments. Tryptophan-cysteine quenching is introduced as an experimental approach with minimal labeling for characterizing such interactions between proteins due to its sensitivity to nano- to microsecond dynamics on subnanometer length scales. The experiments are paired with computational modeling at different resolutions including fully atomistic molecular dynamics simulations for interpretation of the experimental observables and to gain molecular-level insights. This approach is applied to model systems, villin variants and the drkN SH3 domain, in the presence of protein G crowders. It is demonstrated that Trp-Cys quenching experiments can differentiate between overall attractive and repulsive interactions between different proteins, and they can discern variations in interaction preferences at different protein surface locations. The close integration between experiment and simulations also provides an opportunity to evaluate different molecular force fields for the simulation of concentrated protein solutions.

A New Transfer Free Energy Based Implicit Solvation Model for the Description of Disordered and Folded Proteins.

Most biological events occur on time scales that are difficult to access using conventional all-atom molecular dynamics simulations in explicit solvent. Implicit solvent techniques offer a promising solution to this problem, alleviating the computational cost associated with the simulation of large systems and accelerating the sampling compared to explicit solvent models. The substitution of water molecules by a mean field, however, introduces simplifications that may penalize accuracy and impede the prediction of certain physical properties. We demonstrate that existing implicit solvent models developed using a transfer free energy approach, while satisfactory at reproducing the folding behavior of globular proteins, fare less well in characterizing the conformational properties of intrinsically disordered proteins. We develop a new implicit solvent model that maximizes the degree of accuracy for both disordered and folded proteins. We show, by comparing the simulation outputs to experimental data, that in combination with the a99SB-disp force field, the implicit solvent model can describe both disordered (aβ40, PaaA2, and drkN SH3) and folded ((AAQAA)3, CLN025, Trp-cage, and GTT) peptides. Our implicit solvent model permits a computationally efficient investigation of proteins containing both ordered and disordered regions, as well as the study of the transition between ordered and disordered protein states.

Protein Dynamics to Define and Refine Disordered Protein Ensembles.

Intrinsically disordered proteins and unfolded proteins have fluctuating conformational ensembles that are fundamental to their biological function and impact protein folding, stability, and misfolding. Despite the importance of protein dynamics and conformational sampling, time-dependent data types are not fully exploited when defining and refining disordered protein ensembles. Here we introduce a computational framework using an elastic network model and normal-mode displacements to generate a dynamic disordered ensemble consistent with NMR-derived dynamics parameters, including transverse R2 relaxation rates and Lipari-Szabo order parameters (S2 values). We illustrate our approach using the unfolded state of the drkN SH3 domain to show that the dynamical ensembles give better agreement than a static ensemble for a wide range of experimental validation data including NMR chemical shifts, J-couplings, nuclear Overhauser effects, paramagnetic relaxation enhancements, residual dipolar couplings, hydrodynamic radii, single-molecule fluorescence Förster resonance energy transfer, and small-angle X-ray scattering.

Atomic view of cosolute-induced protein denaturation probed by NMR solvent paramagnetic relaxation enhancement

The cosolvent effect arises from the interaction of cosolute molecules with a protein and alters the equilibrium between native and unfolded states. Denaturants shift the equilibrium toward the latter, while osmolytes stabilize the former. The molecular mechanism whereby cosolutes perturb protein stability is still the subject of considerable debate. Probing the molecular details of the cosolvent effect is experimentally challenging as the interactions are very weak and transient, rendering them invisible to most conventional biophysical techniques. Here, we probe cosolute-protein interactions by means of NMR solvent paramagnetic relaxation enhancement together with a formalism we recently developed to quantitatively describe, at atomic resolution, the energetics and dynamics of cosolute-protein interactions in terms of a concentration normalized equilibrium average of the interspin distance, [Formula: see text], and an effective correlation time, τc The system studied is the metastable drkN SH3 domain, which exists in dynamic equilibrium between native and unfolded states, thereby permitting us to probe the interactions of cosolutes with both states simultaneously under the same conditions. Two paramagnetic cosolute denaturants were investigated, one neutral and the other negatively charged, differing in the presence of a carboxyamide group versus a carboxylate. Our results demonstrate that attractive cosolute-protein backbone interactions occur largely in the unfolded state and some loop regions in the native state, electrostatic interactions reduce the [Formula: see text] values, and temperature predominantly impacts interactions with the unfolded state. Thus, destabilization of the native state in this instance arises predominantly as a consequence of interactions of the cosolutes with the unfolded state.

Enhanced nuclear-spin hyperpolarization of amino acids and proteins via reductive radical quenchers

Low-concentration photochemically induced dynamic nuclear polarization (LC-photo-CIDNP) has recently emerged as an effective tool for the hyperpolarization of aromatic amino acids in solution, either in isolation or within proteins. One factor limiting the maximum achievable signal-to-noise ratio in LC-photo-CIDNP is the progressive degradation of the target molecule and photosensitizer upon long-term optical irradiation. Fortunately, this effect does not cause spectral distortions but leads to a progressively smaller signal buildup upon long-term data-collection (e.g. 500 nM tryptophan on a 600 MHz spectrometer after ca. 200 scans). Given that it is generally desirable to minimize the extent of photodamage, we report that low-μM amounts of the reductive radical quenchers vitamin C (VC, i.e., ascorbic acid) or 2-mercaptoethylamine (MEA) enable LC-photo-CIDNP data to be acquired for significantly longer time than ever possible before. This approach increases the sensitivity of LC-photo-CIDNP by more than 100%, with larger enhancement factors achieved in experiments involving more transients. Our results are consistent with VC and MEA acting primarily by reducing transient free radicals of the NMR molecule of interest, thus attenuating the extent of photodamage. The benefits of this reductive radical-quencher approach are highlighted by the ability to collect long-term high-resolution 2D 1H-13C LC-photo-CIDNP data on a dilute sample of the drkN SH3 protein (5 μM).

Extended experimental inferential structure determination method in determining the structural ensembles of disordered protein states

Proteins with intrinsic or unfolded state disorder comprise a new frontier in structural biology, requiring the characterization of diverse and dynamic structural ensembles. Here we introduce a comprehensive Bayesian framework, the Extended Experimental Inferential Structure Determination (X-EISD) method, which calculates the maximum log-likelihood of a disordered protein ensemble. X-EISD accounts for the uncertainties of a range of experimental data and back-calculation models from structures, including NMR chemical shifts, J-couplings, Nuclear Overhauser Effects (NOEs), paramagnetic relaxation enhancements (PREs), residual dipolar couplings (RDCs), hydrodynamic radii (Rh), single molecule fluorescence Förster resonance energy transfer (smFRET) and small angle X-ray scattering (SAXS). We apply X-EISD to the joint optimization against experimental data for the unfolded drkN SH3 domain and find that combining a local data type, such as chemical shifts or J-couplings, paired with long-ranged restraints such as NOEs, PREs or smFRET, yields structural ensembles in good agreement with all other data types if combined with representative IDP conformers.

Submillisecond Freezing Permits Cryoprotectant-Free EPR Double Electron-Electron Resonance Spectroscopy.

Double electron-electron resonance (DEER) EPR spectroscopy is a powerful method for obtaining distance distributions between pairs of engineered nitroxide spin-labels in proteins and other biological macromolecules. These measurements require the use of cryogenic temperatures (77 K or less) to prolong the phase memory relaxation time (Tm ) sufficiently to enable detection of a DEER echo curve. Generally, a cryoprotectant such as glycerol is added to protein samples to facilitate glass formation and avoid protein clustering (which can result in a large decrease in Tm ) during relatively slow flash freezing in liquid N2 . However, cryoprotectants are osmolytes and can influence protein folding/unfolding equilibria, as well as species populations in weak multimeric systems. Here we show that submillisecond rapid freezing, achieved by high velocity spraying of the sample onto a rapidly spinning, liquid nitrogen cooled copper disc obviates the requirement for cryoprotectants and permits high quality DEER data to be obtained in absence of glycerol. We demonstrate this approach on five different protein systems: protein A, the metastable drkN SH3 domain, urea-unfolded drkN SH3, HIV-1 reverse transcriptase, and the transmembrane domain of HIV-1 gp41 in lipid bicelles.

Assessing Site-Specific Enhancements Imparted by Hyperpolarized Water in Folded and Unfolded Proteins by 2D HMQC NMR.

Hyperpolarized water can be a valuable aid in protein NMR, leading to amide group 1H polarizations that are orders of magnitude larger than their thermal counterparts. Suitable procedures can exploit this to deliver 2D 1H–15N correlations with good resolution and enhanced sensitivity. These enhancements depend on the exchange rates between the amides and the water, thereby yielding diagnostic information about solvent accessibility. This study applied this “HyperW” method to four proteins exhibiting a gamut of exchange behaviors: PhoA(350–471), an unfolded 122-residue fragment; barstar, a fully folded ribonuclease inhibitor; R17, a 13.3 kDa system possessing folded and unfolded forms under slow interconversion; and drkN SH3, a protein domain whose folded and unfolded forms interchange rapidly and with temperature-dependent population ratios. For PhoA4(350–471) HyperW sensitivity enhancements were ≥300×, as expected for an unfolded protein sequence. Though fully folded, barstar also exhibited substantial enhancements; these, however, were not uniform and, according to CLEANEX experiments, reflected the solvent-exposed residues. R17 showed the expected superposition of ≥100-fold enhancements for its unfolded form, coexisting with more modest enhancements for their folded counterparts. Unexpected, however, was the behavior of drkN SH3, for which HyperW enhanced the unfolded but, surprisingly, enhanced even more certain folded protein sites. These preferential enhancements were repeatedly and reproducibly observed. A number of explanations—including three-site exchange magnetization transfers between water and the unfolded and folded states; cross-correlated relaxation processes from hyperpolarized “structural” waters and labile side-chain protons; and the possibility that faster solvent exchange rates characterize certain folded sites over their unfolded counterparts—are considered to account for them.

Understanding Protein Structure Deformation on the Surface of Gold Nanoparticles of Varying Size.

Gold nanoparticles (AuNPs) have been of recent interest due to their unique optical properties and their biocompatibility. Biomolecules spontaneously adsorb to their surface, a trait that could potentially be exploited for drug targeting. Currently, it is unclear whether protein-AuNP interactions at the nanoparticle surface are dependent on nanoparticle size. In this work, we investigate whether varying surface curvature can induce protein unfolding and multilayer binding in citrate-coated AuNPs of various sizes. A recently developed NMR-based approach was utilized to determine the adsorption capacity, and protein NMR spectra were compared to determine whether nanoparticle size influences protein interactions at the surface. In addition, transmission electron microscopy (TEM) and dynamic light scattering (DLS) were employed to corroborate the NMR studies. Over a broad range of AuNP sizes (14-86 nm), we show that adsorption capacity can be predicted by assuming that proteins are compact and globular on the nanoparticle surface. Additionally, roughly one layer of proteins is adsorbed regardless of AuNP size. Our results hold for two proteins of significantly different sizes, GB3 (6 kDa) and bovine carbonic anhydrase (BCA, 29 kDa). However, the unstable drkN SH3 domain (ΔḠ0 ≈ 0, 7 kDa) does not appear to follow the same trend seen for stable, globular proteins. This observation suggests that unstable proteins can deform significantly when bound to AuNP surfaces. Taken together, the results of this work can be used to improve our knowledge of the mechanism of protein-AuNP interactions to optimize their use in the biomedical field.

Conformations of a Metastable SH3 Domain Characterized by smFRET and an Excluded-Volume Polymer Model

Conformational states of the metastable drkN SH3 domain were characterized using single-molecule fluorescence techniques. Under nondenaturing conditions, two Förster resonance energy transfer (FRET) populations were observed that corresponded to a folded and an unfolded state. FRET-estimated radii of gyration and hydrodynamic radii estimated by fluorescence correlation spectroscopy of the two coexisting conformations are in agreement with previous ensemble x-ray scattering and NMR measurements. Surprisingly, when exposed to high concentrations of urea and GdmCl denaturants, the protein still exhibits two distinct FRET populations. The dominant conformation is expanded, showing a low FRET efficiency, consistent with the expected behavior of a random chain with excluded volume. However, approximately one-third of the drkN SH3 conformations showed high, nearly 100%, FRET efficiency, which is shown to correspond to denaturation-induced looped conformations that remain stable on a timescale of at least 100 μs. These loops may contain interconverting conformations that are more globally collapsed, hairpin-like, or circular, giving rise to the observed heterogeneous broadening of this population. Although the underlying mechanism of chain looping remains elusive, FRET experiments in formamide and dimethyl sulfoxide suggest that interactions between hydrophobic groups in the distal regions may play a significant role in the formation of the looped state.

A New Approach to Infer Size and Shape of Disordered Conformations of Proteins from Sm-FRET Data

The critical biochemical functions of intrinsically disordered proteins (IDPs) are increasingly being recognized but the investigation of biophysical properties of IDPs is only in its infancy. Single-molecule Forster resonance energy transfer (smFRET) is an important tool for studying IDPs. It is commonly utilized to infer structural properties of conformational ensembles by matching experimental average energy transfer efficiency to a value computed from the distribution of end-to-end distances in polymer models. We used polymer theory and computation to address the framework of interpretation of smFRET data for disordered states of proteins. A novel, generally applicable method to infer conformational properties from smFRET histograms was proposed. The new method is grounded in fundamental physical principles and free of the conventional, limiting presumption of a homogeneous conformational ensemble. Extensive sampling of coarse-grained protein chains with excluded volume was performed to generate physically realistic end-to-end distance distributions conditioned on the radius of gyration (descriptor of compactness) and asphericity (descriptor of shape). This sub-ensemble-based approach was used to interpret smFRET data obtained for the yeast the cell-cycle IDP Sic1, and for the DrkN SH3 domain. Encouragingly, the conformational parameters inferred for both proteins, i.e., radius of gyration, hydrodynamic radius and asphericity, are consistent with independent SAXS and NMR measurements.

Backbone chemical shift assignments for the folded/unfolded drkN SH3 protein at pH 7.2

Backbone chemical shift assignments for the folded/unfolded drkN SH3 protein at pH 7.2

CP-HISQC: a better version of HSQC experiment for intrinsically disordered proteins under physiological conditions

(1)H-(15)N HSQC spectroscopy is a workhorse of protein NMR. However, under physiological conditions the quality of HSQC spectra tends to deteriorate due to fast solvent exchange. For globular proteins only a limited number of surface residues are affected, but in the case of intrinsically disordered proteins (IDPs) HSQC spectra are thoroughly degraded, suffering from both peak broadening and loss of intensity. To alleviate this problem, we make use of the following two concepts. (1) Proton-decoupled HSQC. Regular HSQC and its many variants record the evolution of multi-spin modes, 2NxHz or 2NxHx, in indirect dimension. Under the effect of fast solvent exchange these modes undergo rapid decay, which results in severe line-broadening. In contrast, proton-decoupled HSQC relies on Nx coherence which is essentially insensitive to the effects of solvent exchange. Moreover, for measurements involving IDPs at or near physiological temperature, Nx mode offers excellent relaxation properties, leading to very sharp resonances. (2) Cross-polarization (1)H-to-(15)N transfer. If CP element is designed such as to lock both (1)H(N) and water magnetization, the following transfer is effected: [Formula: see text] Thus water magnetization is successfully exploited to boost the amount of signal. In addition, CP element suffers less loss from solvent exchange, conformational exchange, and dipolar relaxation compared to the more popular INEPT element. Combining these two concepts, we have implemented the experiment termed CP-HISQC (cross-polarization assisted heteronuclear in-phase single-quantum correlation). The pulse sequence has been designed such as to preserve water magnetization and therefore can be executed with reasonably short recycling delays. In the presence of fast solvent exchange, kex~100s(-1), CP-HISQC offers much better spectral resolution than conventional HSQC-type experiments. At the same time it offers up to twofold gain in sensitivity compared to plain proton-decoupled HSQC. The new sequence has been tested on the sample of drkN SH3 domain at pH 7.5, 30°C. High-quality spectrum has been recorded in less than 1h, containing resonances from both folded and unfolded species. High-quality spectra have also been obtained for arginine side-chain H(ε)N(ε) groups in the sample of short peptide Sos. For Arg side chains, we have additionally implemented (HE)NE(CD)HD experiment. Using (13)C-labeled sample of Sos, we have demonstrated that proton-to-nitrogen CP transfer remains highly efficient in the presence of solvent exchange as fast as kex=620s(-1). In contrast, INEPT transfer completely fails in this regime.

The Conformations of the DrkN SH3 Domain Studied by Single Molecule Fluorescence Spectroscopy

SH3 domains are highly involved in signal transduction and cellular localization. The N-terminal SH3 domain of Drosophila adaptor protein Drk is found to be marginally stable, exchanging between folded and unfolded states under non-denaturating conditions. The high unfolded state population makes DrkN SH3 a useful model system to study the physical polymeric properties of disordered protein states and to advance the understanding of the mechanism of protein folding. Single-molecule techniques have the unique capability to resolve populations of protein conformations and also the rates of exchange dynamics among them. Here, single-molecule Föster resonance energy transfer (smFRET) is performed in order to study the conformational distribution and dynamics of the DrkN SH3 domain, using fluorophores attached to two cysteines mutated at the N- and the C-termini of the 61amino acid chain. Freely-diffusing proteins in diluted solutions give rise to fluorescence bursts which can be quantitatively characterized. Multiparameter fluorescence analysis reveals two populations with different end-to-end distances, attributed to the folded and unfolded states coexisting under normal conditions. Conformational populations and internal chain dynamics are measured in both physiological and non-physiological conditions in order to understand the role of solvent-protein interactions for the structural stability. Fluorescence correlation spectroscopy (FCS) and FRET-FCS are applied to investigate local chain dynamics and the inter-conversion kinetics between the ordered and disordered conformations of DrkN SH3 in different solvent conditions.

1H-Detected 13C Photo-CIDNP as a Sensitivity Enhancement Tool in Solution NMR

NMR is a powerful yet intrinsically insensitive technique. The applicability of NMR to chemical and biological systems would be substantially extended by new approaches going beyond current signal-to-noise capabilities. Here, we exploit the large enhancements arising from (13)C photochemically induced dynamic nuclear polarization ((13)C photo-CIDNP) in solution to improve biomolecular NMR sensitivity in the context of heteronuclear correlation spectroscopy. The (13)C-PRINT pulse sequence presented here involves an initial (13)C nuclear spin polarization via photo-CIDNP followed by conversion to anti-phase coherence and transfer to (1)H for detection. We observe substantial enhancements, up to ≫200-fold, relative to the dark (laser off) experiment. Resonances of both side-chain and backbone CH pairs are enhanced for the three aromatic residues Trp, His, and Tyr, the σ(32) peptide, and the drkN SH3 protein. The sensitivity of this experiment, defined as signal-to-noise per square root of unit time (S/N)(t), is unprecedented in the NMR polarization enhancement literature dealing with polypeptides in solution. Up to a 16-fold larger (S/N)(t) than for the (1)H-(13)C SE-HSQC reference sequence is achieved, for the σ(32) peptide. Data collection time is reduced up to 256-fold, highlighting the advantages of (1)H-detected (13)C photo-CIDNP in solution NMR.

Effect of protein structural integrity on cross-linking by tyrosinase evidenced by multidimensional heteronuclear magnetic resonance spectroscopy

Enzymatic cross-linking of proteins can be catalyzed either by transferase-type enzymes, e.g., transglutaminases, or by oxidoreductases, e.g., tyrosinases or laccases. Three-dimensional structure of protein substrate plays a key role in these reactions, that is, the reactivity and end product are strongly modulated by the accessibility of target amino acid residues to the cross-linking enzyme. Typically structural integrity of protein can be distorted by heat, pH, or mechanical action, as well as by varying ionic concentration of the solution. In this study we used partially unfolded protein (wild-type DrkN SH3) and its structurally stabilized mutant (T22G) to investigate the impact of folded/unfolded conformations on cross-linking by Trichoderma reesei tyrosinase. Our results clearly showed formation of intermolecular cross-links solely between unfolded conformations, making them superior substrates to folded proteins when using tyrosinase as a cross-linking enzyme. Multidimensional heteronuclear magnetic resonance experiments in solution state were employed to investigate cross-linked end-products. The results presented in this study form basis for application development in food, medical, cosmetic, textile, packing and other sectors. In addition, the outcome of this study has a high value for the basic understanding of reaction mechanism of tyrosinases on proteins.

15NH/D-SOLEXSY experiment for accurate measurement of amide solvent exchange rates: application to denatured drkN SH3

Amide solvent exchange rates are regarded as a valuable source of information on structure/dynamics of unfolded (disordered) proteins. Proton-based saturation transfer experiments, normally used to measure solvent exchange, are known to meet some serious difficulties. The problems mainly arise from the need to (1) manipulate water magnetization and (2) discriminate between multiple magnetization transfer pathways that occur within the proton pool. Some of these issues are specific to unfolded proteins. For example, the compensation scheme used to cancel the Overhauser effect in the popular CLEANEX experiment is not designed for use with unfolded proteins. In this report we describe an alternative experimental strategy, where amide (15)N is used as a probe of solvent exchange. The experiment is performed in 50% H(2)O-50% D(2)O solvent and is based on the (HACACO)NH pulse sequence. The resulting spectral map is fully equivalent to the conventional HSQC. To fulfill its purpose, the experiment monitors the conversion of deuterated species, (15)N(D), into protonated species, (15)N(H), as effected by the solvent exchange. Conceptually, this experiment is similar to EXSY which prompted the name of (15)N(H/D)-SOLEXSY (SOLvent EXchange SpectroscopY). Of note, our experimental scheme, which relies on nitrogen rather than proton to monitor solvent exchange, is free of the complications described above. The developed pulse sequence was used to measure solvent exchange rates in the chemically denatured state of the drkN SH3 domain. The results were found to correlate well with the CLEANEX-PM data, r = 0.97, thus providing a measure of validation for both techniques. When the experimentally measured exchange rates are converted into protection factors, most of the values fall in the range 0.5-2, consistent with random-coil behavior. However, elevated values, ca. 5, are obtained for residues R38 and A39, as well as the side-chain indole of W36. This is surprising, given that high protection factors imply hydrogen bonding or hydrophobic burial not expected to occur in a chemically denatured state of a protein. We, therefore, hypothesized that elevated protection factors are an artefact arising from the calculation of the reference (random-coil) exchange rates. To confirm this hypothesis, we prepared samples of several short peptides derived from the sequence of the drkN SH3 domain; these samples were used to directly measure the reference exchange rates. The revised protection factors obtained in this manner proved to be close to 1.0. These results also have implications for the more compact unfolded state of drkN SH3, which appears to be fully permeable to water as well, with no manifestations of hydrophobic burial.

Modeling Drkn Sh3 Domain Using Sequence Specific Wormlike Chain Model

Though the wormlike chain (WLC) model has successfully described the statistical properties of fully denatured polypeptides, the lack of sequence details and attractive forces made it less successful in describing unfolded states in folding conditions. To cover the limitation while keeping the model's efficient feature, we have developed a sequence specific wormlike chain model. Computationally, secondary structure constraints from the secondary chemical shift measurements of drkN are integrated into the construction of each wormlike chain. Then the probability distribution is reweighted to bias compact conformations in which residues of similar hydrophobicity are located near each other. This model has been tested on two mutants (C2 and C60) of the Drosophila drk N-terminal (drkN) SH3 domain. drkN exists in approximately 1:1 equilibrium between folded and unfolded state in water, which gives us the opportunity to monitor the contact quenching of tryptophan 36 by either cysteine under all denaturing conditions. The experimental results exhibit a relatively slow kinetics, which implies slow intramolecular diffusion. The reweighted pairwise distance distributions are also compared to the Paramagnetic Relaxation Enhancement (PRE) data for drkN.

Paramagnetic relaxation enhancements in unfolded proteins: Theory and application to drkN SH3 domain

Site-directed spin labeling in combination with paramagnetic relaxation enhancement (PRE) measurements is one of the most promising techniques for studying unfolded proteins. Since the pioneering work of Gillespie and Shortle (J Mol Biol 1997;268:158), PRE data from unfolded proteins have been interpreted using the theory that was originally developed for rotational spin relaxation. At the same time, it can be readily recognized that the relative motion of the paramagnetic tag attached to the peptide chain and the reporter spin such as (1)H(N) is best described as a translation. With this notion in mind, we developed a number of models for the PRE effect in unfolded proteins: (i) mutual diffusion of the two tethered spheres, (ii) mutual diffusion of the two tethered spheres subject to a harmonic potential, (iii) mutual diffusion of the two tethered spheres subject to a simulated mean-force potential (Smoluchowski equation); (iv) explicit-atom molecular dynamics simulation. The new models were used to predict the dependences of the PRE rates on the (1)H(N) residue number and static magnetic field strength; the results are appreciably different from the Gillespie-Shortle model. At the same time, the Gillespie-Shortle approach is expected to be generally adequate if the goal is to reconstruct the distance distributions between (1)H(N) spins and the paramagnetic center (provided that the characteristic correlation time is known with a reasonable accuracy). The theory has been tested by measuring the PRE rates in three spin-labeled mutants of the drkN SH3 domain in 2M guanidinium chloride. Two modifications introduced into the measurement scheme-using a reference compound to calibrate the signals from the two samples (oxidized and reduced) and using peak volumes instead of intensities to determine the PRE rates-lead to a substantial improvement in the quality of data. The PRE data from the denatured drkN SH3 are mostly consistent with the model of moderately expanded random-coil protein, although part of the data point toward a more compact structure (local hydrophobic cluster). At the same time, the radius of gyration reported by Choy et al. (J Mol Biol 2002;316:101) suggests that the protein is highly expanded. This seemingly contradictory evidence can be reconciled if one assumes that denatured drkN SH3 forms a conformational ensemble that is dominated by extended conformations, yet also contains compact (collapsed) species. Such behavior is apparently more complex than predicted by the model of a random-coil protein in good solvent/poor solvent.