Hydration dependence of backbone and side chain polylysine dynamics: a 13C solid-state NMR and IR spectroscopy study

The molecular dynamics of solid poly-L-lysine has been studied by the following natural abundance (13)C-NMR relaxation methods: measurements of the relaxation times T(1) at two resonance frequencies, off-resonance T(1rho) at two spin-lock frequencies, and proton-decoupled T(1rho). Experiments were performed at different temperatures and hydration levels (up to 17% H(2)O by weight). The natural abundance (13)C-CPMAS spectrum of polylysine provides spectral resolution of all types of backbone and side chain carbons and thus, dynamic parameters could be determined separately for each of them. At the same time, the conformational properties of polylysine were investigated by Fourier transform infrared spectroscopy. The data obtained from the different NMR experiments were simultaneously analyzed using the correlation function formalism and model-free approach. The results indicate that in dry polylysine both backbone and side chains take part in two low amplitude motions with correlation times of the order of 10(-4) s and 10(-9) s. Upon hydration, the dynamic parameters of the backbone remain almost constant except for the amplitude of the slower process that increases moderately. The side chain dynamics reveals a much stronger hydration response: the amplitudes of both slow and fast motions increase significantly and the correlation time of the slow motion shortens by about five orders of magnitude, and at hydration levels of more than 10% H(2)O fast and slow side chain motions are experimentally indistinguishable. These changes in the molecular dynamics cannot be ascribed to any hydration-dependent conformational transitions of polylysine because IR spectra reveal almost no hydration dependence in either backbone or side chain absorption domains. The physical nature of the fast and slow motions, their correlation time distributions, and hydration dependence of microdynamic parameters are discussed.     

Monitoring aromatic picosecond to nanosecond dynamics in proteins via 13C relaxation: expanding perturbation mapping of the rigidifying core mutation, V54A, in eglin c

Long-range effects, such as allostery, have evolved in proteins as a means of regulating function via communication between distal sites. An NMR-based perturbation mapping approach was used to more completely probe the dynamic response of the core mutation V54A in the protein eglin c by monitoring changes in picosecond to nanosecond aromatic side-chain dynamics and H/D exchange stabilities. Previous side-chain dynamics studies on this mutant were limited to methyl-bearing residues, most of which were found to rigidify on the picosecond to nanosecond time scale in the form of a contiguous "network". Here, high precision (13)C relaxation data from 13 aromatic side chains were acquired by applying canonical relaxation experiments to a newly developed carbon labeling scheme [Teilum et al. (2006) J. Am. Chem. Soc. 128, 2506-2507]. The fitting of model-free parameters yielded S (2) variability which is intermediate with respect to backbone and methyl-bearing side-chain variability and tau e values that are approximately 1 ns. Inclusion of the aromatic dynamic response results in an expanded network of dynamically coupled residues, with some aromatics showing increases in flexibility, which partially offsets the rigidification in methyl side chains. Using amide hydrogen exchange, dynamic propagation on a slower time scale was probed in response to the V54A perturbation. Surprisingly, regional stabilization (slowed exchange) 10-12 A from the site of mutation was observed despite a global destabilization of 1.5 kcal x mol (-1). Furthermore, this unlikely pocket of stabilized residues colocalizes with increases in aromatic flexibility on the faster time scale. Because the converse is also true (destabilized residues colocalize with rigidification on the fast time scale), a plausible entropy-driven mechanism is discussed for relating colocalization of opposing dynamic trends on vastly different time scales.     

Assessment of protein rotational diffusion by 13C off-resonance rotating frame spin–lattice relaxation: Effect of backbone and side-chain internal motion

The ¹³C off-resonance rotating frame spin–lattice relaxation technique is applicable to the study of protein rotational diffusion behavior in a variety of experimental situations. The original formalism of James and co-workers (1978) (J. Am. Chem. Soc. Vol. 100, pp. 3590–3594) incorporated random isotropic reorientational motion of a rigid spherical rotor with no provision for backbone or side-chain carbonyl group internal motion. Here we demonstrate that the failure to include such internal motion may lead to erroneous rotational correlation time determinations for overall reorientational motion. The effect becomes severe for protein molecular masses in excess of 100 kD. Inclusion of both backbone and side-chain carbonyl carbon internal motion, using reasonable parameters derived from the literature [R. Levy and M. Karplus (1979), Chemical Physics Letters, Vol. 65, pp. 4–11; G. Careri, P. Fasella, and E. Gratton (1975), Critical Reviews in Biochemistry, Vol. 3, pp. 141–164; G. Lipari, A. Szabo, and R. Levy (1982), Nature, Vol. 300, pp. 197–198], plus corrections for anisotropic tumbling [C. F. Morgan, T. Schleich, G. H. Caines, and D. Michael (1990), Biopolymers, Vol. 29, pp. 469–480] and microscopic viscosity [S. H. Koenig (1980), ACS Symposium. Series, Vol. 127, pp. 157–176], leads to reliable values for the correlation time describing overall protein reorientation up to molecular masses of approximately 1000 kD. © 1993 John Wiley & Sons, Inc.     

Photoactivation Reduces Side-Chain Dynamics of a LOV Photoreceptor

We used neutron-scattering experiments to probe the conformational dynamics of the light, oxygen, voltage (LOV) photoreceptor PpSB1-LOV from Pseudomonas putida in both the dark and light states. Global protein diffusion and internal macromolecular dynamics were measured using incoherent neutron time-of-flight and backscattering spectroscopy on the picosecond to nanosecond timescales. Global protein diffusion of PpSB1-LOV is not influenced by photoactivation. Observation-time-dependent global diffusion coefficients were found, which converge on the nanosecond timescale toward diffusion coefficients determined by dynamic light scattering. Mean-square displacements of localized internal motions and effective force constants, <k′>, describing the resilience of the proteins were determined on the respective timescales. Photoactivation significantly modifies the flexibility and the resilience of PpSB1-LOV. On the fast, picosecond timescale, small changes in the mean-square displacement and <k′> are observed, which are enhanced on the slower, nanosecond timescale. Photoactivation results in a slightly larger resilience of the photoreceptor on the fast, picosecond timescale, whereas in the nanosecond range, a significantly less resilient structure of the light-state protein is observed. For a residue-resolved interpretation of the experimental neutron-scattering data, we analyzed molecular dynamics simulations of the PpSB1-LOV X-ray structure. Based on these data, it is tempting to speculate that light-induced changes in the protein result in altered side-chain mobility mostly for residues on the protruding Jα helix and on the LOV-LOV dimer interface. Our results provide strong experimental evidence that side-chain dynamics play a crucial role in photoactivation and signaling of PpSB1-LOV via modulation of conformational entropy.     

Dynamics of a de novo designed three-helix bundle protein studied by 15N, 13C, and 2H NMR relaxation methods

Understanding how the amino acid sequence of a polypeptide chain specifies a unique, functional three-dimensional structure remains an important goal, especially in the context of the emerging discipline of de novo protein design. Alpha3D is a single chain protein of 73 amino acids resulting from a de novo design effort. Previous solution nuclear magnetic resonance studies of alpha3D confirm that the protein adopts the designed structure of a three-helix bundle. Furthermore, alpha3D has been previously shown to possess all of the major thermodynamic and structural characteristics of natural proteins, though it shares no sequence homology to any protein sequence in the database. In this work, the backbone and side-chain dynamics of alpha3D were investigated using 15N, 13C, and 2H nuclear magnetic resonance relaxation methods with the aim of assessing the character of the internal motions of this native-like protein of de novo design. At the backbone level, both 15N and 13C(alpha) relaxation studies indicate highly restrictive motion on the picosecond to nanosecond time scale in the alpha-helical regions of alpha3D, with increasing mobility at the ends of the alpha-helices and in the two loop regions. This is largely consistent with what is seen in proteins of natural origin. Overall, the view provided by both 2H and 13C methyl relaxation methods suggest that the side chains of alpha3D are more dynamic compared to natural proteins. Regions of relative flexibility bound clusters of rigid methyl-bearing side-chain groups that are interspersed with aromatic and beta-branched amino acids. The time scale of motions associated with methyl-bearing side chains of alpha3D are significantly longer than that seen in natural proteins. These results indicate that the strategies underlying the design of alpha3D have largely, but not completely, captured both the structural and dynamic character of natural proteins.     

Mapping backbone dynamics in solution with site-directed spin labeling: GCN4-58 bZip free and bound to DNA

In site-directed spin labeling, a nitroxide-containing side chain is introduced at selected sites in a protein. The EPR spectrum of the labeled protein encodes information about the motion of the nitroxide on the nanosecond time scale, which has contributions from the rotary diffusion of the protein, from internal motions in the side chain, and from backbone fluctuations. In the simplest model for the motion of noninteracting (surface) side chains, the contribution from the internal motion is sequence independent, as is that from protein rotary diffusion. Hence, differences in backbone motions should be revealed by comparing the sequence-dependent motions of nitroxides at structurally homologous sites. To examine this model, nitroxide side chains were introduced, one at a time, along the GCN4-58 bZip sequence, for which NMR (15)N relaxation experiments have identified a striking gradient of backbone mobility along the DNA-binding region [Bracken et al. (1999) J. Mol. Biol. 285, 2133]. Spectral simulation techniques and a simple line width measure were used to extract dynamical parameters from the EPR spectra, and the results reveal a mobility gradient similar to that observed in NMR relaxation, indicating that side chain motions mirror backbone motions. In addition, the sequence-dependent side chain dynamics were analyzed in the DNA/protein complex, which has not been previously investigated by NMR relaxation methods. As anticipated, the backbone motions are damped in the DNA-bound state, although a gradient of motion persists with residues at the DNA-binding site being the most highly ordered, similar to those of helices on globular proteins.     

The unusual internal motion of the villin headpiece subdomain

The thermostable 36‐residue subdomain of the villin headpiece (HP36) is the smallest known cooperatively folding protein. Although the folding and internal dynamics of HP36 and close variants have been extensively studied, there has not been a comprehensive investigation of side‐chain motion in this protein. Here, the fast motion of methyl‐bearing amino acid side chains is explored over a range of temperatures using site‐resolved solution nuclear magnetic resonance deuterium relaxation. The squared generalized order parameters of methyl groups extensively spatially segregate according to motional classes. This has not been observed before in any protein studied using this methodology. The class segregation is preserved from 275 to 305 K. Motions detected in Helix 3 suggest a fast timescale of conformational heterogeneity that has not been previously observed but is consistent with a range of folding and dynamics studies. Finally, a comparison between the order parameters in solution with previous results based on solid‐state nuclear magnetic resonance deuterium line shape analysis of HP36 in partially hydrated powders shows a clear disagreement for half of the sites. This result has significant implications for the interpretation of data derived from a variety of approaches that rely on partially hydrated protein samples.     

Accessibility and dynamics of nitroxide side chains in T4 lysozyme measured by saturation recovery EPR

Long pulse saturation recovery electron paramagnetic resonance spectroscopy is applied to the investigation of spin-labeled side chains placed along a regular helix extending from 128 to 135 in T4 lysozyme. Under an argon atmosphere, analysis of the exponential saturation recovery curves gives the spin-lattice relaxation rates of the nitroxides, which depend on the nitroxide side-chain dynamics. In the presence of the fast-relaxing paramagnetic reagents O(2) or NiEDDA, global analysis of the saturation recovery provides the spin-lattice relaxation rates as well as the Heisenberg exchange rates of the nitroxide with the reagents. As previously shown with power saturation methods, such exchange rates are direct measures of the solvent accessibility of the nitroxide side chains in the protein structure. The periodic dependence of the spin-lattice relaxation rates and the exchange rates along the 128-135 sequence reveal the presence of the helical structure, demonstrating the use of these parameters in structure determination. In general, multiple exponentials are required to fit the saturation recovery data, thus identifying multiple states of the side chain. In one case, multiple conformations detected in the spectrum are not evident in the saturation recovery, suggesting rapid exchange on the timescale of spin-lattice relaxation.     

Backbone dynamics of the natively unfolded pro-peptide of subtilisin by heteronuclear NMR relaxation studies

The dynamics of the natively unfolded form of the pro-peptide of subtilisin (PPS) have been characterized at two different pHs (6.0 and 3.0) by ¹⁵N relaxation experiments. ¹⁵N relaxation data is obtained at multiple field strengths and a detailed comparison of spectral density mapping, the model free approach and the recently proposed Cole–Cole model free (CC-MF) analysis is presented. The CC-MF analysis provides a better fit to the observed magnetic field dependence of ¹⁵N relaxation data of unfolded PPS than conventional model free approaches and shows that fluctuations in R₂ may be accounted for by a distribution of correlation times on the nanosecond timescale. A new parameter derives from the analysis and represents the width of the distribution function and the heterogeneity of the dynamics on the nanosecond timescale at a particular site. Particularly interesting is the observation that is sensitive to pH changes and that PPS samples a wider distribution of nanosecond time scale motions at less acidic pHs than at more acidic pHs. These results suggest that PPS experiences a higher degree of correlated motion at pH 6.0 and that electrostatic interactions may be important for inducing correlated motions on the nanosecond timescale in unfolded PPS.     

Relating side-chain mobility in proteins to rotameric transitions: Insights from molecular dynamics simulations and NMR

The dynamic aspect of proteins is fundamental to understanding protein stability and function. One of the goals of NMR studies of side-chain dynamics in proteins is to relate spin relaxation rates to discrete conformational states and the timescales of interconversion between those states. Reported here is a physical analysis of side-chain dynamics that occur on a timescale commensurate with monitoring by ²H spin relaxation within methyl groups. Motivated by observations made from tens-of-nanoseconds long MD simulations on the small protein eglin c in explicit solvent, we propose a simple molecular mechanics-based model for the motions of side-chain methyl groups. By using a Boltzmann distribution within rotamers, and by considering the transitions between different rotamer states, the model semi-quantitatively correlates the population of rotamer states with ‘model-free’ order parameters typically fitted from NMR relaxation experiments. Two easy-to-use, analytical expressions are given for converting S²_axis’ values (order parameter for C–CH₃ bond) into side-chain rotamer populations. These predict that S²_axis’ values below 0.8 result from population of more than one rotameric state. The relations are shown to predict rotameric sampling with reasonable accuracy on the ps–ns timescale for eglin c and are validated for longer timescales on ubiquitin, for which side-chain residual dipolar coupling (RDC) data have been collected.     

Characteristic domain motion in the ribosome recycling factor revealed by 15N NMR relaxation experiments and molecular dynamics simulations

The backbone dynamics of ribosome recycling factor (RRF) from Escherichia coli in water were characterized by (15)N NMR relaxation analysis and molecular dynamics (MD) simulation. RRF is composed of two domains connected by a joint region that consists of two peptide chains, such that the overall structure seems to mimic that of tRNA. MD trajectories indicated that the relative orientation of domains varies on the nanosecond time scale. We analyzed the observed (15)N T(1), T(2), and NOE using an extended model-free spectral density function in which the domain motions with a nanosecond time scale were considered. At 30 degrees C, the order parameters of slow motion () were determined to be approximately 0.9 for domain I and 0.7 for domain II, respectively. These values indicate that domain I is nearly fixed on the molecular diffusion frame, and domain II is wobbling in a cone for which the semi-angle is about 30 degrees.     

Characterization of threonine side chain dynamics in an antifreeze protein using natural abundance 13C NMR spectroscopy

The dynamics of threonine side chains of the Tenebrio molitor antifreeze protein (TmAFP) were investigated using natural abundance (13)C NMR. In TmAFP, the array of threonine residues on one face of the protein is responsible for conferring its ability to bind crystalline ice and inhibit its growth. Heteronuclear longitudinal and transverse relaxation rates and the [(1)H]-(13)C NOE were determined in this study. The C alpha H relaxation measurements were compared to the previously measured (15)N backbone parameters and these are found to be in agreement. For the analysis of the threonine side chain motions, the model of restricted rotational diffusion about the chi(1) dihedral angle was employed [London and Avitabile (1978) J. Am. Chem. Soc., 100, 7159-7165]. We demonstrate that the motion experienced by the ice binding threonine side chains is highly restricted, with an approximate upper limit of less than +/-25 degrees.     

Conformational sampling by NMR solution structures calculated with the program DIANA evaluated by comparison with long-time molecular dynamics calculations in explicit water

The NMR solution structure of bovine pancreatic trypsin inhibitor (BPTI) obtained by distance geometry calculations with the program DIANA is compared with groups of conformers generated by molecular dynamics (MD) simulations in explicit water at ambient temperature and pressure. The MD simulations started from a single conformer and were free or restrained either by the experimental NOE distance restraints or by time-averaged restraints; the groups of conformers were collected either in 10 ps intervals during 200 ps periods of simulation, or in 50 ps intervals during a 1 ns period of simulation. Overall, these comparisons show that the standard protein structure determination protocol with the program DIANA provides a picture of the protein structure that is in agreement with MD simulations using “realistic” potential functions over a nanosecond timescale. For well-constrained molecular regions there is a trend in the free MD simulation of duration 1 ns that the sampling of the conformation space is slightly increased relative to the DIANA calculations. In contrast, for surface-exposed side-chains that are less extensively constrained by the NMR data, the DIANA conformers tend to sample larger regions of conformational space than conformers selected from any of the MD trajectories. Additional insights into the behavior of surface side-chains come from comparison of the MD runs of 200 ps or 1 ns duration. In this time range the sampling of conformation space by the protein surface depends strongly on the length of the simulation, which indicates that significant side-chain transitions occur on the nanosecond timescale and that much longer simulations will be needed to obtain statistically significant data on side-chain dynamics.     

Comparative NMR study on the impact of point mutations on protein stability of Pseudomonas mendocina lipase

In this work we compare the dynamics and conformational stability of Pseudomonas mendocina lipase enzyme and its F180P/S205G mutant that shows higher activity and stability for use in washing powders. Our NMR analyses indicate virtually identical structures but reveal remarkable differences in local dynamics, with striking correspondence between experimental data (i.e., (15)N relaxation and H/D exchange rates) and data from Molecular Dynamics simulations. While overall the cores of both proteins are very rigid on the pico- to nanosecond timescale and are largely protected from H/D exchange, the two point mutations stabilize helices alpha1, alpha4, and alpha5 and locally destabilize the H-bond network of the beta-sheet (beta7-beta9). In particular, it emerges that helix alpha5, undergoing some fast destabilizing motions (on the pico- to nanosecond timescale) in wild-type lipase, is substantially rigidified by the mutation of Phe180 for a proline at its N terminus. This observation could be explained by the release of some penalizing strain, as proline does not require any "N-capping" hydrogen bond acceptor in the i+3 position. The combined experimental and simulated data thus indicate that reduced molecular flexibility of the F180P/S205G mutant lipase underlies its increased stability, and thus reveals a correlation between microscopic dynamics and macroscopic thermodynamic properties. This could contribute to the observed altered enzyme activity, as may be inferred from recent studies linking enzyme kinetics to their local molecular dynamics.     

The dynamical response of hen egg white lysozyme to the binding of a carbohydrate ligand

It has become clear that the binding of small and large ligands to proteins can invoke significant changes in side chain and main chain motion in the fast picosecond to nanosecond timescale. Recently, the use of a "dynamical proxy" has indicated that changes in these motions often reflect significant changes in conformational entropy. These entropic contributions are sometimes of the same order as the total entropy of binding. Thus, it is important to understand the connections amongst motion between the manifold of states accessible to the native state of proteins, the corresponding entropy, and how this impacts the overall energetics of protein function. The interaction of proteins with carbohydrate ligands is central to a range of biological functions. Here, we examine a classic carbohydrate interaction with an enzyme: the binding of wild-type hen egg white lysozyme (HEWL) to the natural, competitive inhibitor chitotriose. Using NMR relaxation experiments, backbone amide and side chain methyl axial order parameters were obtained across apo and chitotriose-bound HEWL. Upon binding, changes in the apparent amplitude of picosecond to nanosecond main chain and side chain motions are seen across the protein. Indeed, binding of chitotriose renders a large contiguous fraction of HEWL effectively completely rigid. Changes in methyl flexibility are most pronounced closest to the binding site, but average to only a small overall change in the dynamics across the protein. The corresponding change in conformational entropy is unfavorable and estimated to be a significant fraction of the total binding entropy.     

Contributions from hydration of carboxylate groups to the spectrum of water-polypeptide proton-proton Overhauser effects in aqueous solution

Summary Nuclear Overhauser effects (NOE) were measured between water protons and protons of the glutamic acid side chain of the bicyclic decapeptide in aqueous solution. Positive NOEs were observed between the CH₂ group of Glu and the water resonance, with similar NOE intensities at pH 2.0 and pH 6.3 in both the laboratory frame and the rotating frame of reference. These results indicate that the residence times of the hydration water molecules near the side-chain methylene protons are shorter than 500 ps for both the charged form and the uncharged form of Glu, and hence comparable to the water residence times near uncharged amino acid side chains. Furthermore, this study shows that the acidic proton in protonated carboxylic acid groups is not likely to interfere with the observation of polypeptide-hydration water NOEs, which is in contrast to the hydroxyl protons of the side chains of serine, threonine and tyrosine.Abbreviations NOE nuclear Overhauser effect - NOESY NOE spectroscopy in the laboratory frame - ROESY NOE spectroscopy in the rotating frame - ID one-dimensional - 2D two-dimensional - HPLC high-pressure liquid chromatography     

The hydration response of poly (L-lysine) dynamics measured by 13C-NMR spectroscopy.

13C-nmr measurements are reported for samples of poly (L-lysine) both static and spinning at the magic angle in the beta-sheet form as a function of water content. The addition of water decreases the side-chain line widths considerably. Measurements of the cross-polarization time constants indicate that hydration by either H2O or D2O increases the time constant. Measurements of spin-lattice relaxation times in the laboratory frame and the rotating frame indicate that hydration does not change the dynamics of the backbone carbon atoms in the beta-sheet structure appreciably, but the side-chain atoms experience considerable increase in local mobility with increasing hydration. Deuteration of the exchangeable protons or the water has only small effects on the carbon relaxation times, indicating that relaxation is driven by intramolecular dipole-dipole interactions.     

Fast structural dynamics in reduced and oxidized cytochrome c

The sub‐nanosecond structural dynamics of reduced and oxidized cytochrome c were characterized. Dynamic properties of the protein backbone measured by amide ¹⁵N relaxation and side chains measured by the deuterium relaxation of methyl groups change little upon change in the redox state. These results imply that the solvent reorganization energy associated with electron transfer is small, consistent with previous theoretical analyses. The relative rigidity of both redox states also implies that dynamic relief of destructive electron transfer pathway interference is not operational in free cytochrome c.     

Hsc70-interacting HPD loop of the J domain of polyomavirus T antigens fluctuates in ps to ns and micros to ms

The backbone dynamics of the J domain from polyomavirus T antigens have been investigated using 15N NMR relaxation and molecular dynamics simulation. Model-free relaxation analysis revealed picosecond to nanosecond motions in the N terminus, the I-II loop, the C-terminal end of helix II through the HPD loop to the beginning of helix III, and the C-terminal end of helix III to the C terminus. The backbone dynamics of the HPD loop and termini are dominated by motions with moderately large amplitudes and correlation times of the order of a nanosecond or longer. Conformational exchange on the microsecond to millisecond timescale was identified in the HPD loop, the N and C termini, and the I-II loop. A 9.7ns MD trajectory manifested concerted swings of the HPD loop. Transitions between major and minor conformations of the HPD loop featured distinct patterns of change in backbone dihedral angles and hydrogen bonds. Fraying of the C-terminal end of helix II and the N-terminal end of helix III correlated with displacements of the HPD loop. Correlation of crankshaft motions of Gly46 and Gly47 with the collective motions of the HPD loop suggested an important role of the two glycine residues in the mobility of the loop. Fluctuations of the HPD loop correlated with relative reorientation of side-chains of Lys35 and Asp44 that interact with Hsc70.