Investigations of the thermostability of rubredoxin models using molecular dynamics simulations.

The affects of differences in amino acid sequence on the temperature stability of the three-dimensional structure of the small beta-sheet protein, rubredoxin (Rd), was revealed when a set of homology models was subjected to molecular dynamics simulations at relatively high temperatures. Models of Rd from the hyperthermophile, Pyrococcus furiosus (Pf), an organism that grows optimally at 100 degrees C, were compared to three mesophilic Rds of known X-ray crystal structure. Simulations covering the limits of known Rd thermostabilities were carried out at temperatures of 300 K, 343 K, 373 K, and 413 K. They suggest that Rd stability is correlated with structural dynamics. Because the dynamic behavior of three Pf Rd models was consistently different from the dynamic behavior of the three mesophilic Rd structures, detailed analysis of the temperature-dependent dynamic behavior was carried out. The major differences between the models of the protein from the hyperthermophile and the others were: (1) an obvious temperature-dependent transition in the mesophilic structures not seen with the Pf Rd models, (2) consistent AMBER energy for the Pf Rd due to differences in nonbonded interaction terms, (3) less variation in the average conformations for the Pf Rd models with temperature, and (4) the presence of more extensive secondary structure for the Pf Rd models. These unsolvated dynamics simulations support a simple, general hypothesis to explain the hyperthermostability of Pf Rd. Its structure simplifies the conformational space to give a single minimum accessible over an extreme range of temperatures, whereas the mesophilic proteins sample a more complex conformational space with two or more minima over the same temperature range.     

Molecular dynamics study of a hyperthermophilic and a mesophilic rubredoxin

In recent years, increased interest in the origin of protein thermal stability has gained attention both for its possible role in understanding the forces governing the folding of a protein and for the design of new highly stable engineered biocatalysts. To study the origin of thermostability, we have performed molecular dynamics simulations of two rubredoxins, from the mesophile Clostridium pasteurianum and from the hyperthermophile Pyrococcus furiosus. The simulations were carried out at two temperatures, 300 and 373 K, for each molecule. The length of the simulations was within the range of 6-7.2 ns. The rubredoxin from the hyperthermophilic organism was more flexible than its mesophilic counterpart at both temperatures; however, the overall flexibility of both molecules at their optimal growth temperature was the same, despite 59% sequence homology. The conformational space sampled by both molecules was larger at 300 K than at 373 K. The essential dynamics analysis showed that the principal overall motions of the two molecules are significantly different. On the contrary, each molecule showed similar directions of motion at both temperatures.     

Effects of environment on the structure of Pyrococcus furiosus rubredoxin: a molecular dynamics study

Molecular dynamics simulations based on a 0.95-A resolution crystal structure of Pyrococcus furiosus have been performed to elucidate the effects of the environment on the structure of rubredoxin, and proteins in general. Three 1-ns simulations are reported here: two crystalline state simulations at 123 and 300 K, and a solution state simulation at 300 K. These simulations show that temperature has a greater impact on the protein structure than the close molecular contacts of the crystal matrix in rubredoxin, although both have an effect on its dynamic properties. These results indicate that differences between NMR solution structures and X-ray crystal structures will be relatively minor if they are done at similar temperatures. In addition, the crystal simulations appears to mimic previous crystallographic experiments on the effects of cryo-temperature on temperature factors, and might provide a useful tool in the structural analysis of protein structures solved at cryo-temperatures.     

Thermal stability of Clostridium pasteurianum rubredoxin: deconvoluting the contributions of the metal site and the protein

To provide a framework for understanding the hyperthermostability of some rubredoxins, a comprehensive analysis of the thermally induced denaturation of rubredoxin (Rd) from the mesophile, Clostridium pasteurianum was undertaken. Rds with three different metals in its M(SCys)4 site (M = Fe3+/2+, Zn2+, or Cd2+) were examined. Kinetics of metal ion release were monitored anaerobically at several fixed temperatures between 40 and 100 degrees C, and during progressive heating of the iron-containing protein. Both methods gave a thermal stability of metal binding in the order Fe2+ < Fe3+ < Zn2+ < Cd2+. The temperature at which half of the iron was released from the protein in temperature ramp experiments was 69 degrees C for Fe2+ Rd and 83 degrees C for Fe3+ Rd. Temperature-dependent changes in the protein structure were monitored by differential scanning calorimetry, tryptophan fluorescence, binding of a fluorescent hydrophobic probe, and 1H NMR. Major but reversible structural changes, consisting of swelling of the hydrophobic core and opening of a loop region, were found to occur at temperatures (50-70 degrees C) much lower than those required for loss of the metal ion. For the three divalent metal ions, the results suggest that the onset of the reversible, lower-temperature structural changes is dependent on the size of the MS4 site, whereas the final, irreversible loss of metal ion is dependent on the inherent M-SCys bond strength. In the case of Fe3+ Rd, stoichiometric Fe3+/cysteine-ligand redox chemistry also occurs during metal ion loss. The results indicate that thermally induced unfolding of the native Cp Rd must surmount a significant kinetic barrier caused by stabilizing interactions both within the protein and within the M(SCys)4 site.     

Leucine 41 is a gate for water entry in the reduction of Clostridium pasteurianum rubredoxin

Biological electron transfer is an efficient process even though the distances between the redox moieties are often quite large. It is therefore of great interest to gain an understanding of the physical basis of the rates and driving forces of these reactions. The structural relaxation of the protein that occurs upon change in redox state gives rise to the reorganizational energy, which is important in the rates and the driving forces of the proteins involved. To determine the structural relaxation in a redox protein, we have developed methods to hold a redox protein in its final oxidation state during crystallization while maintaining the same pH and salt conditions of the crystallization of the protein in its initial oxidation state. Based on 1.5 A resolution crystal structures and molecular dynamics simulations of oxidized and reduced rubredoxins (Rd) from Clostridium pasteurianum (Cp), the structural rearrangements upon reduction suggest specific mechanisms by which electron transfer reactions of rubredoxin should be facilitated. First, expansion of the [Fe-S] cluster and concomitant contraction of the NH...S hydrogen bonds lead to greater electrostatic stabilization of the extra negative charge. Second, a gating mechanism caused by the conformational change of Leucine 41, a nonpolar side chain, allows transient penetration of water molecules, which greatly increases the polarity of the redox site environment and also provides a source of protons. Our method of producing crystals of Cp Rd from a reducing solution leads to a distribution of water molecules not observed in the crystal structure of the reduced Rd from Pyrococcus furiosus. How general this correlation is among redox proteins must be determined in future work. The combination of our high-resolution crystal structures and molecular dynamics simulations provides a molecular picture of the structural rearrangement that occurs upon reduction in Cp rubredoxin.     

Comparative thermal unfolding study of psychrophilic and mesophilic subtilisin-like serine proteases by molecular dynamics simulations

Molecular dynamics (MD) simulations of a subtilisin-like serine protease VPR from the psychrophilic marine bacterium Vibrio sp. PA-44 and its mesophilic homologue, proteinase K (PRK), have been performed for 20 ns at four different temperatures (300, 373, 473, and 573 K). The comparative analyses of MD trajectories reveal that at almost all temperatures, VPR exhibits greater structural fluctuations/deviations, more unstable regular secondary structural elements, and higher global flexibility than PRK. Although these two proteases follow similar unfolding pathways at high temperatures, VPR initiates unfolding at a lower temperature and unfolds faster at the same high temperatures than PRK. These observations collectively indicate that VPR is less stable and more heat-labile than PRK. Analyses of the structural/geometrical properties reveal that, when compared to PRK, VPR has larger radius of gyration (Rg), less intramolecular contacts and hydrogen bonds (HBs), more protein-solvent HBs, and smaller burial of nonpolar area and larger exposure of polar area. These suggest that the increased flexibility of VPR would be most likely caused by its reduced intramolecular interactions and more favourable protein-solvent interactions arising from the larger exposure of the polar area, whereas the enhanced stability of PRK could be ascribed to its increased intramolecular interactions arising from the better optimized hydrophobicity. The factors responsible for the significant differences in local flexibility between these two proteases were also analyzed and ascertained. This study provides insights into molecular basis of thermostability of homologous serine proteases adapted to different temperatures.     

The role of backbone stability near Ala44 in the high reduction potential class of rubredoxins

Rubredoxins may be separated into high and low reduction potential classes, with reduction potentials differing by approximately 50 mV. Our previous work showed that a local shift in the polar backbone due to an A(44) versus V(44) side-chain size causes this reduction potential difference. However, this work also indicated that in the low potential Clostridium pasteurianum (Cp) rubredoxin, a V(44) --> A(44) mutation causes larger local backbone flexibility, because the V(44) side-chain present in the wild-type (wt) is no longer present to interlock with neighboring residues to stabilize the subsequent G(45). Since Pyrococcus furiosus (Pf) and other high potential rubredoxins generally have a P(45), it was presumed that a G(45) --> P(45) mutation might stabilize a V(44) --> A(44) mutation in Cp rubredoxin. Here crystal structure analysis, energy minimization, and molecular dynamics (MD) were performed for wt V(44)G(45), single mutant A(44)G(45) and double mutant A(44)P(45) Cp, and for wt A(44)P(45) Pf rubredoxins. The local structural, dynamical, and electrostatic properties of Cp gradually approach wt Pf in the order wt Cp to single to double mutant because of greater sequence similarity, as expected. The double mutant A(44)P(45) Cp exhibits increased backbone stability near residue 44 and thus enhances the probability that the backbone dipoles point toward the redox site, which favors an increase in the electrostatic contribution to the reduction potential. It appears that the electrostatic potential of residue 44 and the solvent accessibility to the redox are both determinants for the reduction potentials of homologous rubredoxins. Overall, these results indicate that an A(44) in a rubredoxin may require a P(45) for backbone stability whereas a V(44) can accommodate a G(45), since the valine side-chain can interlock with its neighbors.     

Increasing temperature accelerates protein unfolding without changing the pathway of unfolding

We have traditionally relied on extremely elevated temperatures (498K, 225 degrees C) to investigate the unfolding process of proteins within the timescale available to molecular dynamics simulations with explicit solvent. However, recent advances in computer hardware have allowed us to extend our thermal denaturation studies to much lower temperatures. Here we describe the results of simulations of chymotrypsin inhibitor 2 at seven temperatures, ranging from 298K to 498K. The simulation lengths vary from 94ns to 20ns, for a total simulation time of 344ns, or 0.34 micros. At 298K, the protein is very stable over the full 50ns simulation. At 348K, corresponding to the experimentally observed melting temperature of CI2, the protein unfolds over the first 25ns, explores partially unfolded conformations for 20ns, and then refolds over the last 35ns. Above its melting temperature, complete thermal denaturation occurs in an activated process. Early unfolding is characterized by sliding or breathing motions in the protein core, leading to an unfolding transition state with a weakened core and some loss of secondary structure. After the unfolding transition, the core contacts are rapidly lost as the protein passes on to the fully denatured ensemble. While the overall character and order of events in the unfolding process are well conserved across temperatures, there are substantial differences in the timescales over which these events take place. We conclude that 498K simulations are suitable for elucidating the details of protein unfolding at a minimum of computational expense.     

Following autolysis in proteases by NMR: Insights into multiple unfolding pathways and mutational plasticities

Biophysical studies in proteases are severely hampered due to the auto-cleavage property of these enzymes. In this context, we develop here a kinetic model and an NMR-based strategy to use this very autolytic property to derive useful insights into multiple unfolding pathways and mutational plasticities in these proteins. The basic idea lies in the interpretation of the auto-cleavage-driven decay of the folded protein peaks in the HSQC spectra as a function of time. The different peaks are seen to decay at different rates. As unfolding is the rate-determining step in the auto-cleavage reaction, the NMR spectral changes reflect on local unfolding processes at the residue level. A formalism is presented to gain insights into unfolding free energies and evaluate local perturbations due to single point mutations. The model is applied to HIV-1 protease-tethered dimer as an example, considering mutations at a particular site. Significant perturbations are seen even at very remote areas from the site of the mutation.     

Repetitive pulling catalyzes co-translocational unfolding of barnase during import through a mitochondrial pore

We present a computational study of barnase unfolding during import into mitochondria through a model translocon. In contrast to thermal (or chemical) unfolding, the major intermediates of co-translocational unfolding are mainly mediated by non-native interactions accompanying the protein configurations induced by pulling forces. These energy contributions, combined with backbone topological constraints imposed by the model pore, result in milestones along the unfolding pathways which are significantly different not only from those experienced during thermal (or chemical) denaturation, but also from those observed in single-molecule pulling by both ends without pore constraints. Two on-pathway major translocation intermediates trapped in long-lived states by significantly high unfolding barriers are identified. A fraction of these pathways can, however, skip such local kinetic traps and result in extremely fast translocations, leading to a dramatic kinetic partitioning spanning approximately four orders of magnitude. The fraction of fast translocation events is shown to increase upon switching the pull off and on, when compared to pulling at constant force. This suggests a "catalytic" mechanism by which the mitochondrial import machinery regulates this partitioning by repetitively pulling in cycles. A number of mutation sites that alter the kinetic "flow" of the unfolding trajectories are suggested and tested.     

Solution-state structure by NMR of zinc-substituted rubredoxin from the marine hyperthermophilic archaebacterium Pyrococcus furiosus.

The three-dimensional solution-state structure is reported for the zinc-substituted form of rubredoxin (Rd) from the marine hyperthermophilic archaebacterium Pyrococcus furiosus, an organism that grows optimally at 100 degrees C. Structures were generated with DSPACE by a hybrid distance geometry (DG)-based simulated annealing (SA) approach that employed 403 nuclear Overhauser effect (NOE)-derived interproton distance restraints, including 67 interresidue, 124 sequential (i-j = 1), 75 medium-range (i-j = 2-5), and 137 long-range (i-j > 5) restraints. All lower interproton distance bounds were set at the sum of the van Der Waals radii (1.8 A), and upper bounds of 2.7 A, 3.3 A, and 5.0 A were employed to represent qualitatively observed strong, medium, and weak NOE cross peak intensities, respectively. Twenty-three backbone-backbone, six backbone-sulfur (Cys), two backbone-side chain, and two side chain-side chain hydrogen bond restraints were include for structure refinement, yielding a total of 436 nonbonded restraints, which averages to > 16 restraints per residue. A total of 10 structures generated from random atom positions and 30 structures generated by molecular replacement using the backbone coordinates of Clostridium pasteurianum Rd converged to a common conformation, with the average penalty (= sum of the square of the distance bounds violations; +/- standard deviation) of 0.024 +/- 0.003 A2 and a maximum total penalty of 0.035 A2. Superposition of the backbone atoms (C, C alpha, N) of residues A1-L51 for all 40 structures afforded an average pairwise root mean square (rms) deviation value (+/- SD) of 0.42 +/- 0.07 A. Superposition of all heavy atoms for residues A1-L51, including those of structurally undefined external side chains, afforded an average pairwise rms deviation of 0.72 +/- 0.08 A. Qualitative comparison of back-calculated and experimental two-dimensional NOESY spectra indicate that the DG/SA structures are consistent with the experimental spectra. The global folding of P. furiosus Zn(Rd) is remarkably similar to the folding observed by X-ray crystallography for native Rd from the mesophilic organism C. pasteurianum, with the average rms deviation value for backbone atoms of residues A1-L51 of P. furiosus Zn(Rd) superposed with respect to residues K2-V52 of C. pasteurianum Rd of 0.77 +/- 0.06 A. The conformations of aromatic residues that compose the hydrophobic cores of the two proteins are also similar. However, P. furiosus Rd contains several unique structural elements, including at least four additional hydrogen bonds and three potential electrostatic interactions.(ABSTRACT TRUNCATED AT 400 WORDS)     

Modeling the structure of Pyrococcus furiosus rubredoxin by homology to other X-ray structures.

The three-dimensional structure of rubredoxin from the hyperthermophilic archaebacterium, Pyrococcus furiosus, has been modeled from the X-ray crystal structures of three homologous proteins from Clostridium pasteurianum, Desulfovibrio gigas, and Desulfovibrio vulgaris. All three homology models are similar. When comparing the positions of all heavy atoms and essential hydrogen atoms to the recently solved crystal structure (Day, M. W., et al., 1992, Protein Sci. 1, 1494-1507) of the same protein, the homology model differ from the X-ray structure by 2.09 A root mean square (RMS). The X-ray and the zinc-substituted NMR structures (Blake, P. R., et al., 1992b, Protein Sci. 1, 1508-1521) show a similar level of difference (2.05 A RMS). On average, the homology models are closer to the X-ray structure than to the NMR structures (2.09 vs. 2.42 A RMS).     

Protein thermal stabilization by charged compatible solutes: Computational studies in rubredoxin from Desulfovibrio gigas

Molecular dynamics simulation studies of rubredoxin from Desulfovibrio gigas (RDG) were used to characterize the molecular mechanism of thermal stabilization by the compatible solute (CS) diglycerol-phospate (DGP). DGP is a negatively charged CS that accumulates under salt stress in Archaeoglobus fulgidus. Experimental results show that a 100 mM DGP solution exerts a strong protection effect in the half-life of RDG at 363 K (Lamosa et al., Appl Environ Microbiol 2000;66:1974-1979). RDG was simulated in four aqueous solutions at 300 and 363 K: pure aqueous media, 100 mM DGP, 100 mM NaCl, and 500 mM DGP. Our work shows that the 100 mM DGP solution is able to maintain the average protein structure when the temperature is increased, preventing the occurrence of large-scale deviation of a mobile loop involved in the first steps of RDG unfolding. The molecular mechanism of thermal denaturation protection by DGP seems to involve the direct interaction between the protein and the CS by hydrogen bond interactions near the mobile loop. Several clusters of DGP molecules are formed and preferentially localized at neutral electrostatic regions of the surface. The increase of DGP concentration to 500 mM did not yield better stabilization of the protein suggesting that the thermal protective role of this charged CS is achieved at low concentrations, as shown experimentally.     

Effects of pressure on the structure of metmyoglobin: molecular dynamics predictions for pressure unfolding through a molten globule intermediate.

We investigated the pathway for pressure unfolding of metmyoglobin using molecular dynamics (MD) for a range of pressures (0.1 MPa to 1.2 GPa) and a temperature of 300 K. We find that the unfolding of metmyoglobin proceeds via a two-step mechanism native --> molten globule intermediate --> unfolded, where the molten globule forms at 700 MPa. The simulation describes qualitatively the experimental behavior of metmyoglobin under pressure. We find that unfolding of the alpha-helices follows the sequence of migrating hydrogen bonds (i,i + 4) --> (i,i + 2).     

X-ray crystal structures of the oxidized and reduced forms of the rubredoxin from the marine hyperthermophilic archaebacterium Pyrococcus furiosus.

The structures of the oxidized and reduced forms of the rubredoxin from the archaebacterium, Pyrococcus furiosus, an organism that grows optimally at 100 degrees C, have been determined by X-ray crystallography to a resolution of 1.8 A. Crystals of this rubredoxin grow in space group P2(1)2(1)2(1) with room temperature cell dimensions a = 34.6 A, b = 35.5 A, and c = 44.4 A. Initial phases were determined by the method of molecular replacement using the oxidized form of the rubredoxin from the mesophilic eubacterium, Clostridium pasteurianum, as a starting model. The oxidized and reduced models of P. furiosus rubredoxin each contain 414 nonhydrogen protein atoms comprising 53 residues. The model of the oxidized form contains 61 solvent H2O oxygen atoms and has been refined with X-PLOR and TNT to a final R = 0.178 with root mean square (rms) deviations from ideality in bond distances and bond angles of 0.014 A and 2.06 degrees, respectively. The model of the reduced form contains 37 solvent H2O oxygen atoms and has been refined to R = 0.193 with rms deviations from ideality in bond lengths of 0.012 A and in bond angles of 1.95 degrees. The overall structure of P. furiosus rubredoxin is similar to the structures of mesophilic rubredoxins, with the exception of a more extensive hydrogen-bonding network in the beta-sheet region and multiple electrostatic interactions (salt bridge, hydrogen bonds) of the Glu 14 side chain with groups on three other residues (the amino-terminal nitrogen of Ala 1; the indole nitrogen of Trp 3; and the amide nitrogen group of Phe 29). The influence of these and other features upon the thermostability of the P. furiosus protein is discussed.     

Diffusing and colliding: the atomic level folding/unfolding pathway of a small helical protein

Proteins with ultra-fast folding/unfolding kinetics are excellent candidates for study by molecular dynamics. Here, we describe such simulations of a three helix bundle protein, the engrailed homeodomain (En-HD), which folds via the diffusion-collision model. The unfolding pathway of En-HD was characterized by seven simulations of the protein and 12 simulations of its helical fragments yielding over 1.1 micros of simulation time in water. Various conformational states along the unfolding pathway were identified. There is the compact native-like transition state, a U-shaped helical intermediate and an unfolded state with dynamic helical segments. Each of these states is in good agreement with experimental data. Examining these states as well as the transitions between them, we find the role of long-range tertiary contacts, specifically salt-bridges, important in the folding/unfolding pathway. In the folding direction, charged residues form long-range tertiary contacts before the hydrophobic core is formed. The formation of HII is assisted by a specific salt-bridge and by non-specific (fluctuating) tertiary contacts, which we call contact-assisted helix formation. Salt-bridges persist as the protein approaches the transition state, stabilizing HII until the hydrophobic core is formed. To complement this information, simulations of fragments of En-HD illustrate the helical propensities of the individual segments. By thermal denaturation, HII proved to be the least stable helix, unfolding in less than 450 ps at high temperature. We observed the low helical propensity of C-terminal residues from HIII in fragment simulations which, when compared to En-HD unfolding simulations, link the unraveling of HIII to the initial event that drives the unfolding of En-HD.     

Study of the stability and unfolding mechanism of BBA1 by molecular dynamics simulations at different temperatures.

BBA1 is a designed protein that has only 23 residues. It is the smallest protein without disulfide bridges that has a well-defined tertiary structure in solution. We have performed unfolding molecular dynamics simulations on BBA1 and some of its mutants at 300, 330, 360, and 400 K to study their kinetic stability as well as the unfolding mechanism of BBA1. It was shown that the unfolding simulations can provide insights into the forces that stabilize the protein. Packing, hydrophobic interactions, and a salt bridge between Asp12 and Lys16 were found to be important to the protein's stability. The unfolding of BBA1 goes through two major steps: (1) disruption of the hydrophobic core and (2) unfolding of the helix. The beta-hairpin remains stable in the unfolding because of the high stability of the type II' turn connecting the two beta-strands.     

Temperature-dependent downhill unfolding of ubiquitin. I. Nanosecond-to-millisecond resolved nonlinear infrared spectroscopy

Transient thermal unfolding of ubiquitin is investigated using nonlinear infrared spectroscopy after a nanosecond laser temperature jump (T-jump). The abrupt change in the unfolding free energy surface and the ns time resolution allow us to observe a fast response on ns to micros time-scales, which we attribute to downhill unfolding, before a cross-over to ms kinetics. The downhill unfolding by a sub-population of folded proteins is induced through a shift of the barrier toward the native state. By adjusting the T-jump width, the effect of the initial (T(i)) and final (T(f)) temperature on the unfolding dynamics can be separated. From the amplitude of the fast downhill unfolding, the fractional population prepared at the unfolding transition state is obtained. This population increases with both T(i) and with T(f). A two-state kinetic analysis of the ms refolding provides thermodynamic information about the barrier height. By a combination of the fast and slow unfolding and folding parameters, a quasi-two-state kinetic analysis is performed to calculate the time-dependent population changes of the folded state. This calculation coincides with the experimentally obtained population changes at low temperature but deviations are found in the T-jump from 67 to 78 degrees C. Using temperature-dependent barrier height changes, a temperature Phi value analysis is performed. The result shows a decreasing trend of Phi(T) with temperature, which indicates an increase of the heterogeneity of the transition state. We conclude that ubiquitin unfolds along a well-defined pathway at low temperature which expands with increasing temperature to include multiple routes.