Beta-hairpin folding mechanism of a nine-residue peptide revealed from molecular dynamics simulations in explicit water

The beta-hairpin fold mechanism of a nine-residue peptide, which is modified from the beta-hairpin of alpha-amylase inhibitor tendamistat (residues 15-23), is studied through direct folding simulations in explicit water at native folding conditions. Three 300-nanosecond self-guided molecular dynamics (SGMD) simulations have revealed a series of beta-hairpin folding events. During these simulations, the peptide folds repeatedly into a major cluster of beta-hairpin structures, which agree well with nuclear magnetic resonance experimental observations. This major cluster is found to have the minimum conformational free energy among all sampled conformations. This peptide also folds into many other beta-hairpin structures, which represent some local free energy minimum states. In the unfolded state, the N-terminal residues of the peptide, Tyr-1, Gln-2, and Asn-3, have a confined conformational distribution. This confinement makes beta-hairpin the only energetically favored structure to fold. The unfolded state of this peptide is populated with conformations with non-native intrapeptide interactions. This peptide goes through fully hydrated conformations to eliminate non-native interactions before folding into a beta-hairpin. The folding of a beta-hairpin starts with side-chain interactions, which bring two strands together to form interstrand hydrogen bonds. The unfolding of the beta-hairpin is not simply the reverse of the folding process. Comparing unfolding simulations using MD and SGMD methods demonstrate that SGMD simulations can qualitatively reproduce the kinetics of the peptide system.     

Mechanical stability of helical beta-peptides and a comparison of explicit and implicit solvent models

Synthetic β-peptide oligomers have been shown to form stable folded structures analogous to those encountered in naturally occurring proteins. Literature studies have speculated that the conformational stability of β-peptides is greater than that of α-peptides. Direct measurements of that stability, however, are not available. Molecular simulations are used in this work to quantify the mechanical stability of four helical β-peptides. This is achieved by subjecting the molecules to tension. The potential of mean force associated with the resulting unfolding process is determined using both an implicit and an explicit solvent model. It is found that all four molecules exhibit a highly stable helical structure. It is also found that the energetic contributions to the potential of mean force do not change appreciably when the molecules are stretched in explicit water. In contrast, the entropic contributions decrease significantly. As the peptides unfold, a loss of intramolecular energy is compensated by the formation of additional water-peptide hydrogen bonds. These entropic effects lead in some cases to a loss of stability upon cooling the peptides, a phenomenon akin to the cold denaturing of some proteins. While the location of the free energy minimum and the structural helicity of the peptides are comparable in the implicit-solvent and explicit-water cases, it is found that, in general, the helical structure of the molecules is more stable in the implicit solvent model than in explicit water.     

Helix conformation of a small peptide melittin in a methanol-water mixed solvent studied by NMR

Temperature dependence of the α-helix conformation of bee venom melittin in methanol-water mixed solvents has been examined by NMR, in order to elucidate conformation stability and a phase diagram. At high methanol concentration of 100 - ca. 80 wt.%, melittin forms a full α-helix conformation in the temperature range from 25 °C to 60 °C. At intermediate methanol concentration of ca. 80 - ca. 25 wt.%, it undergoes a thermal transformation from a full α-helix to a partial α-helix. In solutions of low methanol concentrations of ca. 25 - 0 wt.%, partial α-helix monomers and their self-aggregated conformers coexist at low temperatures, and the relative number of the monomers increases with increase in temperature. The monomers turn to a random coil state at high temperatures only below ca. 10 wt. % methanol concentrations. The thermal transitions are discussed from the viewpoint of stability of intra-molecular hydrogen bonds and inter-molecular hydrophobic interactions.     

Role of water on unfolding kinetics of helical peptides studied by molecular dynamics simulations

Molecular dynamics simulations have been carried out with four polypeptides, Ala13, Val(13), Ser13, and Ala4Gly5Ala4, in vacuo and with explicit hydration. The unfolding of the polypeptides, which are initially fully alpha-helix in conformation, has been monitored during trajectories of 0.3 ns at 350 K. A rank of Ala < Val < Ser < Gly is found in the order of increasing rate of unwinding. The unfolding of Ala13 and Val(13) is completed in hundreds of picoseconds, while that of Ser13 is about one order of magnitude faster. The helix content of the peptide containing glycine residues falls to zero within a few picoseconds. Ramachandran plots indicate quite distinct equilibrium distributions and time evolution of dihedral angles in water and in vacuum for each residue type. The unfolding of polyalanine and polyvaline helices is accelerated due to solvation. In contrast, polyserine is more stable in water compared to vacuum, because its side chains can form intramolecular hydrogen bonds with the backbone more readily in vacuum, which disrupts the helix. Distribution functions of the spatial and angular position of water molecules in the proximity of the polypeptide backbone polar groups reveal the stabilization of the coiled structures by hydration. The transition from helix to coil is characterized by the appearance of a new peak in the probability distribution at a specific location characteristic of hydrogen bond formation between water and backbone polar groups. No significant insertion of water molecules is observed at the precise onset of unwinding, while (i, i+3) hydrogen bond formation is frequently detected at the initiation of alpha-helix unwinding.     

The structure of the Alzheimer amyloid beta 10-35 peptide probed through replica-exchange molecular dynamics simulations in explicit solvent

The conformational states sampled by the Alzheimer amyloid beta (10-35) (Abeta 10-35) peptide were probed using replica-exchange molecular dynamics (REMD) simulations in explicit solvent. The Abeta 10-35 peptide is a fragment of the full-length Abeta 40/42 peptide that possesses many of the amyloidogenic properties of its full-length counterpart. Under physiological temperature and pressure, our simulations reveal that the Abeta 10-35 peptide does not possess a single unique folded state. Rather, this peptide exists as a mixture of collapsed globular states that remain in rapid dynamic equilibrium with each other. This conformational ensemble is dominated by random coil and bend structures with insignificant presence of an alpha-helical or beta-sheet structure. The 3D structure of Abeta 10-35 is seen to be defined by a salt bridge formed between the side-chains of K28 and D23. This salt bridge is also observed in Abeta fibrils and our simulations suggest that monomeric conformations of Abeta 10-35 contain pre-folded structural motifs that promote rapid aggregation of this peptide.     

Anti-insulin antibody structure and conformation. II. Molecular dynamics with explicit solvent.

Molecular dynamics at 300 K was used as a conformation searching tool to analyze a knowledge-based structure prediction of an anti-insulin antibody. Solvation effects were modeled by packing water molecules around the antigen binding loops. Some loops underwent backbone and side-chain conformational changes during the 95-ps equilibration, and most of these new, lower potential energy conformations were stable during the subsequent 200-ps simulation. Alterations to the model include changes in the intraloop, main-chain hydrogen bonding network of loop H3, and adjustments of Tyr and Lys side chains of H3 induced by hydrogen bonding to water molecules. The structures observed during molecular dynamics support the conclusion of the previous paper that hydrogen bonding will play the dominant role in antibody-insulin recognition. Determination of the structure of the antibody by x-ray crystallography is currently being pursued to provide an experimental test of these results. The simulation appears to improve the model, but longer simulations at higher temperatures should be performed.     

Cooperative folding mechanism of a beta-hairpin peptide studied by a multicanonical replica-exchange molecular dynamics simulation

G-peptide is a 16-residue peptide of the C-terminal end of streptococcal protein G B1 domain, which is known to fold into a specific beta-hairpin within 6 micros. Here, we study molecular mechanism on the stability and folding of G-peptide by performing a multicanonical replica-exchange (MUCAREM) molecular dynamics simulation with explicit solvent. Unlike the preceding simulations of the same peptide, the simulation was started from an unfolded conformation without any experimental information on the native conformation. In the 278-ns trajectory, we observed three independent folding events. Thus MUCAREM can be estimated to accelerate the folding reaction more than 60 times than the conventional molecular dynamics simulations. The free-energy landscape of the peptide at room temperature shows that there are three essential subevents in the folding pathway to construct the native-like beta-hairpin conformation: (i) a hydrophobic collapse of the peptide occurs with the side-chain contacts between Tyr45 and Phe52, (ii) then, the native-like turn is formed accompanying with the hydrogen-bonded network around the turn region, and (iii) finally, the rest of the backbone hydrogen bonds are formed. A number of stable native hydrogen bonds are formed cooperatively during the second stage, suggesting the importance of the formation of the specific turn structure. This is also supported by the accumulation of the nonnative conformations only with the hydrophobic cluster around Tyr45 and Phe52. These simulation results are consistent with high phi-values of the turn region observed by experiment.     

Molecular dynamics simulations of the ErbB-2 transmembrane domain within an explicit membrane environment: comparison with vacuum simulations

Two 500-ps molecular dynamics simulations performed on the single transmembrane domain of the ErbB-2 tyrosine kinase receptor immersed in a fully solvated dilauroylphosphatidyl-ethanolamine bilayer (DLPE) are compared to vacuum simulations. One membrane simulation shows that the initial alpha helix undergoes a local pi helix conversion in the peptide part embedded in the membrane core similar to that found in simulation vacuum. Lipid/water/peptide interaction analysis shows that in the helix core, the intramolecular peptide interactions are largely dominant compared to the interactions with water and lipids whereas the helix extremities are much more sensitive to these interactions at the membrane interfaces. Our results suggest that simulations in a lipid environment are required to understand the dynamics of transmembrane helices, but can be reasonably supplemented by in vacuo simulations to explore rapidly its conformational space and to describe the internal deformation of the hydrophobic core.     

Molecular dynamics simulations of a fibrillogenic peptide derived from apolipoprotein C-II

The pathway to amyloid fibril formation in proteins involves specific structural changes leading to the combination of misfolded intermediates into oligomeric assemblies. Recent NMR studies showed the presence of “turns” in amyloid peptides, indicating that turn formation may play an important role in the nucleation of the intramolecular folding and possible assembly of amyloid. Fully solvated all-atom molecular dynamics simulations were used to study the structure and dynamics of the apolipoprotein C-II peptide 56 to 76, associated with the formation of amyloid fibrils. The peptide populated an ensemble of turn structures, stabilized by hydrogen bonds and hydrophobic interactions enabling the formation of a strong hydrophobic core which may provide the conditions required to initiate aggregation. Two competing mechanisms discussed in the literature were observed. This has implications in understanding the mechanism of amyloid formation in not only apoC-II and its fragments, but also in other amyloidogenic peptides.     

Dependence on the dielectric model and pH in a synthetic helical peptide studied by Monte Carlo simulated annealing

Monte Carlo simulated annealing is applied to the tertiary structure prediction of a 17-residue synthetic peptide, which is known by experiment to exhibit high helical content at low pH. Two dielectric models are considered: sigmoidal distance-dependent dielectric function and a constant dielectric function (? = 2). Starting from completely random initial conformations, our simulations for both dielectric models at low pH gave many helical conformations. The obtained low-energy conformations are compared with the nuclear Overhauser effect spectroscopy cross-peak data for both main chain and side chains, and it is shown that the results for the sigmoidal dielectric function are in remarkable agreement with the experimental data. The results predict the existence of two disjoint helices around residues 5–9 and 11–16, while nmr experiments imply significant α-helix content between residues 5 and 14. Simulations with high pH, on the other hand, hardly gave a helical conformation, which is also in accord with the experiment. These findings indicate that when side chains are charged, electrostatic interactions due to these charges play a major role in the helix stability. Our results are compared with the previous 500 ps molecular dynamics simulations of the same peptide. It is argued that simulated annealing is superior to molecular dynamics in two respects: (1) direct folding of α-helix from completely random initial conformations is possible for the former, whereas only unfolding of an α-helix can be studied by the latter; (2) while both methods predict high helix content for low pH, the results for high pH agree with experiment (low helix content) only for the former method. © 1994 John Wiley & Sons, Inc.     

Molecular dynamics simulations of folding processes of a beta-hairpin in an implicit solvent

Computer simulations of beta-hairpin folding are relatively difficult, especially those based on the explicit water model. This greatly limits the complete analysis and understanding of their folding mechanisms. In this paper, we use the generalized Born/solvent accessible implicit solvent model to simulate the folding processes of a nine-residue beta-hairpin. We find that the beta-hairpin can fold into its native structure very easily, even using the traditional molecular dynamics method. This allows us to extract 21 complete folding events and investigate the folding process sufficiently. Our results show that there exist four most stable states on the free energy landscape of the short peptide, one native state and three intermediates. We find that two of the non-native stable states have almost the same potential energy as the native state but with lower entropy. This suggests that the native state can be stabilized entropically. Furthermore, we find that the folding processes of this peptide have common features: to fold into its native state, the peptide undergoes a continuous collapsing-extending-recollapsing process to adjust the positions of the side chains in order to form the native middle inter-strand hydrogen bonds. The formations of these bonds are the key step of the folding process. Once these bonds are formed, the peptide can fold into the native state quickly.     

Molecular dynamics simulation study of the static and dynamic properties of a model colloidal suspension with explicit solvent

Molecular dynamics simulation was used to study a colloidal suspension with explicit solvent to determine how inclusion of the solvent affects the structure and dynamics of the system. The solute was modelled as a hard-core particle enclosed in a Weeks–Chandler–Andersen (WCA) potential shell, while the solvent was modelled as a simple WCA fluid. We found that when the solute–solvent interaction included a hard core equal to half of the solute hard-core diameter, large depletion effects arose, leading to an effective attraction and large deviations from hard-sphere structure for the colloidal component. It was found that these effects could be eliminated by reducing the hard-core distance parameter in the solute–solvent interaction, thus allowing the solvent to penetrate closer to the colloidal particles. Three different values for the solute–solvent hard-core parameter were systematically studied by comparing the static structure factor and radial distribution function to the predictions of the Percus–Yevick theory for hard spheres. When the optimal value of the solute–solvent hard-core interaction parameter was found, this model was then used to study the dynamical behaviour of the colloidal suspension. This was done by first measuring the velocity autocorrelation function (VACF) over a large range of packing fractions. We found that this model predicted the sign of the long-time tail in the VACF in agreement with experimental values, something that single component hard-sphere systems have failed to do. The intermediate scattering functions at low wavevector were briefly studied to determine their behaviour in a dilute system. It was found that they could be modelled using a simple diffusion equation with a wavevector independent diffusion coefficient, making this model an excellent analogue of experimentally studied hard-sphere colloids.     

Recognition complex between the HMG domain of LEF-1 and its cognate DNA studied by molecular dynamics simulations with explicit solvation

Molecular dynamics simulations of the complex formed between the HMG box of the lymphoid enhancer-binding factor (LEF-1) and its cognate DNA duplex were carried out with explicit inclusion of water. The simulation started with an NMR-based model (pdb code 2LEF) and the dynamics was pursued for 10 nanoseconds without constraints. It revealed that water intervenes in many ionic/polar interactions, establishing in particular local equilibria between direct and water-mediated hydrogen bonds, and thus increasing the entropy of the complex. Quite unexpectedly, the simulation indicated that a binding pocket for a specific water molecule may be reversibly formed at the apex of the bend induced in the DNA helix by LEF-1 binding, where a methionine side chain intercalates between two destacked adenines. We observed that the specific water molecule can temporarily replace the intercalated S-CH(3) group, acting as a sort of "extension" of the side chain. The residence time of this water molecule was about 3.5 ns. Simulations of the cognate DNA alone showed that this sequence has no intrinsic tendency to bend; therefore, the bending occurs solely as a consequence of the recognition, following the "induced-fit" mechanism.     

Structures of a peptide fragment of beta2-microglobulin studied by replica-exchange molecular dynamics simulations - towards the understanding of the mechanism of amyloid formation

We investigate in detail the structural properties of the monomeric peptide fragment that corresponds to residues 21-31 of beta(2)-microglobulin. As a first step towards the understanding of the mechanism of the amyloid formation, we have performed a replica-exchange molecular dynamics simulation of this peptide with explicit water molecules. We analyze various structural properties as functions of temperature. Although the corresponding part of the native protein is a fully extended beta-strand, our results show that beta-hairpin structures are formed with high frequency around 310 K. We conjecture that this beta-hairpin formation is closely related to the amyloid fibrillogenesis.     

Molecular dynamics simulations of poly(dA)·poly(dT): Comparisons between implicit and explicit solvent representations

The program AMBER 3.0 has been used to generate molecular dynamics trajectories of a poly (dA)·poly (dT) decamer. The simulations were performed using different methods to treat solvent effects. Results of a simulation including 18 counterions NH and 4109 water molecules under (N, P, T) conditions were compared to simulation runs with implicit solvent representation in which solvent screening effects were represented by the use of a sigmoidal distance-dependent dielectric function. In the latter case, the system was simulated under microcanonical (N, V, E) and canonical (N, V, T) conditions. For the fully hydrated system simulation, a preequilibration protocol was developed since it was observed that long and progressive periods of heating and equilibration on the overall system were necessary in order to avoid energetic collisions between the solute and the solvent molecules, leading to severe irreversible deformation of the solute. A detailed analysis of DNA conformations, sugar puckers, and stability of the hydrogen bonds, Watson–Crick and three-center H bonds, is reported. The results show that DNA remains essentially in the B conformer with a tendency in the hydrated model to adopt a slightly distorted, unwound, and stretched conformation in comparison to standard B-DNA. Concerning sugar puckers, the mean pseudorotation phases of the adenine residues are systematically higher than those of the thymine residues, except in the case of the hydrated model for which a particular behavior is observed for the adenine strand. In this case, the terminal bases oscillate between C_2′,-endo and O_4′,-endo and the central ones stay in the C_3′,-endo domain. The mean lifetimes of the internal Watson–Crick H-bond (A)HN6?O4(T) are also dependent on the base pairs included in the calculation, excepted for the implicit solvent simulation at constant temperature. The three-center H bonds have very small mean lifetimes in all three cases of MD simulation. In the minor groove of the hydrated model, a spine of hydration is found as observed by x-ray crystallography and other theoretical simulations. On the basis of the rms deviations, it appears that the fully hydrated simulation has not reached a plateau at the end of the run, while the implicit simulation at constant energy seems to have converged. At constant temperature, very large oscillations in rms deviations are observed. © 1993 John Wiley & Sons, Inc.     

Molecular dynamics simulations of trehalose as a 'dynamic reducer' for solvent water molecules in the hydration shell

Systematic computational work for a series of 13 disaccharides was performed to provide an atomic-level insight of unique biochemical role of the alpha,alpha-(1-->1)-linked glucopyranoside dimer over the other glycosidically linked sugars. Superior osmotic and cryoprotective abilities of trehalose were explained on the basis of conformational and hydration characteristics of the trehalose molecule. Analyses of the hydration number and radial distribution function of solvent water molecules showed that there was very little hydration adjacent to the glycosidic oxygen of trehalose and that the dynamic conformation of trehalose was less flexible than any of the other sugars due to this anisotropic hydration. The remarkable conformational rigidity that allowed trehalose to act as a sugar template was required for stable interactions with hydrogen-bonded water molecules. Trehalose made an average of 2.8 long-lived hydrogen bonds per each MD step, which was much larger than the average of 2.1 for the other sugars. The stable hydrogen-bond network is derived from the formation of long-lived water bridges at the expense of decreasing the dynamics of the water molecules. Evidence for this dynamic reduction of water by trehalose was also established based on each of the lowest translational diffusion coefficients and the lowest intermolecular coulombic energy of the water molecules around trehalose. Overall results indicate that trehalose functions as a 'dynamic reducer' for solvent water molecules based on its anisotropic hydration and conformational rigidity, suggesting that macroscopic solvent properties could be modulated by changes in the type of glycosidic linkages in sugar molecules.     

Molecular spacers for physicochemical investigations based on novel helical and extended peptide structures

A proper understanding of the detailed nature and mechanism of physicochemical interactions depends heavily upon our ability to design and synthesize conformationally constrained 3D structures whose intercomponent geometry (either rigorously rigid or able to undergo destructuration, if required, but in all cases precisely tunable) would be well defined. To this end we have recently reported a few initial studies and we are currently working on the exploitation of stable, short, helical peptide spacers based on achiral and/or chiral Calpha-tetrasubstituted alpha-amino acids. These building blocks are known to force the peptides either to predominantly fold into a 3(10)-helical structure or to adopt a fully extended, planar 2.0(5)-helix. The systems under investigation involve a donor and an acceptor moiety linked to the N- and C-termini of the oligopeptide spacer main chain. By increasing the number of intervening residues the donor.acceptor separation can be easily modulated. This review highlights details of these two novel peptide secondary structures and their use as molecular spacers in physicochemical investigations.     

Molecular mechanism of membrane permeabilization by the peptide antibiotic surfactin

Surfactin, an acidic lipopeptide produced by various strains of Bacillus subtilis, behaves as a very powerful biosurfactant and possesses several other interesting biological activities. This work deals with the molecular mechanism of membrane permeabilization by incorporation of surfactin. The surfactin-induced vesicle contents leakage was monitored by following release of carboxyfluorescein entrapped into unilamellar vesicles made of palmitoyloleoylphosphatidylcholine (POPC). The effect of the addition of cholesterol, dipalmitoylphosphatidylcholine (DPPC) and palmitoyloleoylphosphatidylethanolamine (POPE) was also checked. It was observed that surfactin was able to induce content leakage at concentrations far below the onset surfactin/lipid ratio for membrane solubilization to occur, which in our system was around 0.92. Electron microscopy showed that vesicles were present after addition of surfactin at a ratio below this value, whereas no vesicles could be observed at ratios above it. Cholesterol and POPE attenuated the membrane-perturbing effect of surfactin, whereas the effect of DPPC was to promote surfactin-induced leakage, indicating that bilayer sensitivity to surfactin increases with the lipid tendency to form lamellar phases, which is in agreement with our previous observation that surfactin destabilizes the inverted-hexagonal structure. Fourier-transform infrared spectroscopy (FTIR) was used to specifically follow the effect of surfactin on different parts of the phospholipid bilayer. The effect on the C=O stretching mode of vibration of POPC indicated a strong dehydration induced by surfactin. On the other hand, the C-H stretching bands showed that the lipopeptide interacts with the phospholipid acyl chains, resulting in considerable membrane fluidization. The reported effects could be useful to explain surfactin-induced 'pore' formation underlying the antibiotic and other important biological actions of this bacterial lipopeptide.     

Molecular mechanism of stop codon recognition by eRF1: a wobble hypothesis for peptide anticodons

We propose that the amino acid residues 57/58 and 60/61 of eukaryotic release factors (eRF1s) (counted from the N-terminal Met of human eRF1) are responsible for stop codon recognition in protein synthesis. The proposal is based on amino acid exchanges in these positions in the eRF1s of two ciliates that reassigned one or two stop codons to sense codons in evolution and on the crystal structure of human eRF1. The proposed mechanism of stop codon recognition assumes that the amino acid residues 57/58 interact with the second and the residues 60/61 with the third position of a stop codon. The fact that conventional eRF1s recognize all three stop codons but not the codon for tryptophan is attributed to the flexibility of the helix containing these residues. We suggest that the helix is able to assume a partly relaxed or tight conformation depending on the stop codon recognized. The restricted codon recognition observed in organisms with unconventional eRF1s is attributed mainly to the loss of flexibility of the helix due to exchanged amino acids.