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Laboratory of Chemical Physics, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health, Bethesda, Maryland 20892-0520
Correspondence: Address reprint requests to G. Hummer, Tel.: 301-402-6290; E-mail: hummer{at}helix.nih.gov or gerhard.hummer{at}nih.gov.
| ABSTRACT |
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| INTRODUCTION |
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Most computational investigations of the structure and dynamics of Aß peptides have focused on monomers (10
,19
), dimers (20
22
), and other low-order oligomers (20
,23
25
). By studying early aggregation events, molecular simulations using simplified, coarse models of various amyloid-forming molecules provided detailed mechanistic and structural insights in the formation of prefibrillar amyloid species (21
,26
29
). Larger systems have been studied to identify general aspects of amyloid assembly (30
35
).
Here, taking advantage of structural information available from recent solid-state nuclear magnetic resonance (ssNMR) experiments (11
,13
,36
,37
) on the parallel cross-ß structure of Aß140 protofilaments, we perform all-atom/explicit solvent simulations of amyloid fibrils containing six two-peptide units, each with two U-shaped Aß940 peptides in a plane roughly perpendicular to the fibril axis. Among the different structural topologies observed depending on experimental growth conditions (11
,13
,37
), we focus on Aß140 fibrils grown under gentle agitation. In a series of different models, we incorporate information from recent isotope-dilution ssNMR (11
) suggesting that the N- and C-terminal ß-strands within a given peptide may not be in contact, unlike previous models.
The objectives of our study are twofold: 1), to explore the contributions of the different structural elements of typical Aß protofilaments to stability, conformational dynamics, and elongation/dissociation mechanisms; and 2), to investigate different possible protofilament models, including different ß-sheet staggering and loop conformations, searching for common features that may be independent of structural details of specific models. Our simulations of both wild-type and mutated sequences cover a broad temperature range (298, 348, and 398 K), in which fibrils are experimentally stable (below
330 K) or fully dissociate (above
373 K) (38
,39
). We discuss structurally relevant fibril characteristics such as the secondary-to-quaternary structural elements (e.g., ß-strands, intra- and intermolecular contacts), internal salt-bridges, the conformations of the amino acids in the loop region, and the interior hydration. We analyze the evolution of these elements at elevated temperatures, focusing in particular on the structure and dynamics of the Aß monomers at the fibril ends to identify possible dissociation/elongation mechanisms.
The outline of the article is as follows. After introducing fibril terminology, we describe the different structural models and the simulation methodology. We then present simulation results for infinite periodic fibrils. From simulations of fully solvated finite fibrils, we extract information about secondary structure, side-chain packing, and interior salt bridges and hydration as well as fibril dynamics. We then interpret our results obtained at different temperatures in the context of fibril stability and elongation/dissociation mechanisms.
| METHODS |
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Structural models of Aß protofilaments
We use Aß940 to model the full-length Aß140 protofilaments (Fig. 1 A). N-terminal residues 18 are structurally disordered and not necessary for fibril growth (12
,36
,37
). Structural models of Aß protofilaments were built using peptide structures taken from the simulations of Buchete et al. (12
) that were then stacked along the fibril axis (Fig. 2).
|
|
4.8 Å ß-sheet interstrand spacing (11
|
For S1 and S2 systems, we simulate both C2x and C2z topologies, which differ in the relative orientations of the Aß peptides in a two-peptide unit normal to the fibril axis (see (12
), and Fig. 1, D and E). For S3, we only consider the C2z topology that is more strongly supported by experiment (11
). The two topologies differ in the relative orientation of the contacting C-terminal ß-strands in the interface between the two U-shaped peptides within a two-peptide unit: the two strands are parallel in C2x structures, and antiparallel in C2z structures. As a consequence, the two stacks of U-shaped peptides along the fibril have either parallel (C2z) or antiparallel orientation (C2x), with equivalent fibril ends in the case of C2x fibrils (Fig. 2 A), but differing end structures in the case of C2z fibrils (Fig. 2 B). However, if the staggering sign or magnitude (Fig. 2 C) differ in the two molecular layers of the protofilament (as seen in some of our high-T simulations), the two fibril ends can differ even in the C2x case. We note that differences in the structure of the two ends may affect the relative fibril elongation kinetics. Similarly, symmetry differences between C2x and C2z topologies result in having the structurally disordered N-terminal residues (12
,37
) either close to each other (C2x, Fig. 1 E) or on the opposite sides of Aß protofilaments (C2z, Fig. 1 D), with possible implications on their lateral aggregation properties.
Molecular dynamics simulations
Our molecular dynamics (MD) simulations of Aß amyloid protofilaments use the methods described in Buchete et al. (12
). Here, we study systems of 12 Aß940 peptides (as compared to eight peptides in (12
)), at both ambient (298 K) and elevated temperatures (348 K and 398 K). All simulations of solvated amyloid fibrils were performed using the NAMD2 program (41
) with the CHARMM27 (42
) force field parameters. The fibrils were explicitly solvated with TIP3P water molecules (43
). All simulations were performed in the NPT ensemble. The Langevin piston method (41
,44
,45
) was used to maintain a constant pressure of 1 atm. The temperature was controlled by using Langevin dynamics with a coupling coefficient of 1 ps (41
). We used periodic boundary conditions and the particle-mesh Ewald method (46
) with a real-space cutoff distance of 10 Å and a grid width smaller than 1 Å. The switching distance for nonbonded electrostatics and van der Waals interactions was 8.5 Å with a cutoff distance of 10 Å, and the integration time step was 1 fs (with the exception of the S3-C2z system where 2 fs time steps were used in conjunction with constrained bonds of hydrogen atoms (47
)).
Initially, between 10 and 20 ns of MD were performed for four-layer infinite-periodic fibril systems hydrated with up to 7071 water molecules. From those systems, six-layer fibril segments were extracted and fully solvated with up to 21,913 water molecules leading to simulated systems of
70,000 atoms. After successive stages of minimization, heating and equilibration, up to 20 ns of MD runs were performed at 298 K. Additional runs of 1020 ns were performed at 348 K and 398 K. The combined simulation time for all three systems (S1, S2, and S3) and temperatures is 320 ns (i.e., 80 ns for the infinitely-long systems and 240 ns for simulations of protofilament segments containing 12 Aß940 peptide monomers).
| RESULTS AND DISCUSSION |
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100 ps in the 298 K simulation of the infinite system with S1-C2x topology, the staggering changed from +0.5 to 0.5, indicating a cooperative sliding of both N-terminal ß sheets relative to the two C-terminal sheets.
T-dependent secondary structure
From the final structure of the infinite-periodic MD runs, stacks of six two-peptide units (i.e., 12 Aß940 monomers) are separated and fully solvated. In subsequent NPT MD simulations, the resulting finite protofilament fragments are free to twist about the fibril axis, unlike the infinite-periodic fibrils. Fig. 3, A and B, illustrate the time evolution of the secondary structure content for the Aß segments of the S1-C2z system along the 10 ns trajectory at 298 K and at 398 K, respectively.
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However, at elevated temperatures (Fig. 3 B, and Figs. S2 B and S3 B) there is a significant loss of ß-sheet content in all cases. Consistent with the interpretation of calorimetry experiments (38
,39
), temperatures above 100°C are sufficient to overcome the hydrophobic interactions between the ß-sheet residues, eventually dissociating the fibrils. The interior of the S1-C2z system, starting with +0.5 staggering, presents smaller changes than the S2 and S3 systems initiated with 1.5 staggering. Snapshots of initial and final conformations in MD trajectories of up to 20 ns, illustrating the structural elements of the Aß protofilament systems, are shown in Figs. S4S8.
"Surface melting" of N-terminal ß-strands
At elevated temperatures, the loss of structure is initiated at the surface of the protofilaments (Fig. 3 B), as seen also in proteins (48
). The solvent-exposed N-terminal ß-strands are found to be most susceptible to such "surface melting." In contrast, the interior C-terminal strands maintain their structure for up to 20 ns at all temperatures. Even at the fibril ends, the C-terminal strands appear more stablean observation with possible implications on the potential fibril dissociation/elongation mechanism, as discussed below in more detail.
External and internal staggering of ß-strands in Aß fibril segments
For all systems studied here, the C-terminal ß-strands of the two interior ß-sheets are displaced along the fibril axis by
2.4 Å, corresponding to an external staggering of 0.5. The odd-numbered side chains I31, M35, and V39 adopt an interdigitated packing pattern along both the fibril axis and the ß-strand direction. MD runs at elevated temperatures show that the C-terminal strands of different peptides form a highly stable protofilament core.
The internal staggering between the N and C-terminal ß-strands of a peptide remains unchanged at 298 K (+0.5 for S1-C2z, 0.5 for S1-C2x, and 1.5 for S2 and S3). However, at elevated temperatures, we observe a tendency of the S2 and S3 systems to go from 1.5 to +0.5 staggering.
The most dramatic change in the staggering of N- and C-terminal strands occurs at 398 K in the S1-C2z system. Starting from +0.5 staggering, a whole N-terminal sheet is collectively displaced after
5 ns, and then again at 8 and 14 ns. As the N-terminal sheet slides on top of the C-terminal sheet, the staggering of the ß-strands changes from +0.5 to +1.5, then +3.5, and back to +2.5. The concerted ß-sheet sliding is evident in the time-dependent Euclidian distances di,i+k between terminal heavy atoms of facing side chains of N- and C-terminal ß-strands of molecules i and i + k (Fig. 4). In our simulations, we note that the staggering changes less for residues close to the loop than for those at the tip of the strands (Fig. 4 D), with N- and C-terminal strands being at an angle to each other.
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Water channels along fibril axis
In the infinite-periodic fibrils, small cavities form near the D23/K28 salt bridges but do not fill with water. However, water penetrates into finite fibril segments to form narrow water channels solvating the interior D23/K28 salt bridges. Indirect experimental evidence for interior hydration of Aß fibrils comes from differential scanning calorimetry (38
). However, ssNMR data do not indicate large structural differences between lyophilized and wet fibrils (11
,37
). Interestingly, experimental studies showed that both Aß140 peptides (52
,53
) and Aß142 peptides (54
) can form ion channels through lipid membranes. However, such Aß pores (55
) likely occur at a larger scale between trans-membrane bundles of protofilaments. Recent simulations of fibrils with up to 32 Aß1622 peptides in antiparallel ß-strands have also shown similar water channels hydrating the K16/E22 side chains (56
).
Stability of connecting loops
A recent study suggested that the loops connecting the N- and C-terminal strands play an important role in aggregation (19
,57
). To explore the relative contributions of the loop and hydrophobic core to the overall stability and fibril dissociation, we mutated the residues V24N27 in the salt-bridge region from VGSN to AGAA.
Fig. 5 shows a plot of the C
root mean-square distance (RMSD) of individual residues at 298 K and 398 K. RMSD values were calculated for the interior eight Aß940 peptides of finite S2-C2z protofilaments, and averaged over the 510 ns trajectory segments. At room temperature, we observe only a small increase in the flexibility of the loop region and no significant change in the ß-strand segments. At elevated temperature (398 K), the mutations result not only in increased loop flexibility, but also produce large fluctuations in the ß-strand regions. Figs. S6 and S7 show snapshots along the trajectories for both wild-type and mutated systems. Overall, the fibril does not appear to be strongly affected by these loop mutations at room temperature, but the enhanced flexibility of the mutated loops results in a significant loss of structure at 398 K.
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At 398 K, in several instances we observe an exchange in the salt bridge partners from the initial D23/K28 pair to E22/K28 as the end peptides begin to dissociate from the fibril (Fig. 6). The presence of E22/K28 salt bridges has been suggested both for the small peptide aggregates implicated in cytotoxicity and for Aß monomers in solution (10
,19
,28
,33
), but not Aß140 fibrils (36
).
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RMSD values calculated for a typical trajectory (system S1-C2z) at room temperature (298 K) and at 398 K. The RMSD is calculated by using only the C
atoms in the four interior two-peptide units in the Aß940 fibril segments, and by aligning the simulation frames to the average obtained for the 15 ns trajectory segment. The sequence segments H5-F12, E14-G21, and I23-G30 (see Fig. 1 A) were used for the N-terminal sheet, loop, and C-terminal sheet, respectively. Noticeably, the C-terminal ß-strands preserve their structural order longer than other regions of the Aß peptides. C
RMSD values calculated for either the N-terminal sheet or the loop, are always significantly higher, especially at elevated temperatures.
The higher stability of the C-terminal ß-strand regions observed in the MD simulations suggests a possible mechanism for fibril elongation that follows the reversed steps of dissociation. In the resulting hypothetical scenario, the initial monomer addition at the end of a growing fibril is driven by strong hydrophobic interactions stabilizing the C-terminal ß-strands. In a second stage, the less stable N-terminal ß-strands would form. In a final step of this fibril-elongation scenario, the more flexible loop with its relatively hydrophilic residues would adopt the fibril conformation. During elongation, the E22/K28 ion pair suggested for the free monomer in solution (19
,28
) is replaced by D23/K28.
Overall, based on our qualitative observations the main driving force for fibril elongation appears to be the formation of C-terminal ß-sheets. Their hydrophobic character and matching side-chain motif I31xG33xM35xG37 permits the interdigitation of large and small side chains that stabilizes the quaternary contacts between the two C-terminal ß-sheets (16
).
Recent experiments showed that perturbing the hydrogen bonds in N- and C-terminal ß-sheets through selective N-methylation affects both fibril growth and structure (15
). Disrupting the backbone hydrogen bonds of the N-terminal sheets resulted in relatively slow growth of fibrils with a "fuzzy" boundary; with hydrogen bonds in the C-terminal sheets disrupted, the growth was slightly less affected, and the fibrils had a sharply defined surface. These experimental results are consistent with our simulation observations. The C-terminal sheets are held together by strong hydrophobic interactions that would compensate for the partial loss of hydrogen bonds in the N-methylated system and produce wild-type-like fibrils. Increased fibril twisting could be caused by the loss of directional hydrogen bonding, and a gain in importance of packing interactions (59
). In contrast, N-methylation at the N-termini disrupts the more fragile N-terminal sheets, with peptide ends sticking into the solvent to produce fibrils with a "fuzzy" boundary.
| CONCLUSIONS |
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70,000 atoms, we studied protofilament models that differ 1), in the relative orientation of the C-terminal ß-strands at the fibril core (C2x and C2z, Fig. 1, D and E); 2), the ß-sheet staggering; and 3), connecting loop conformation (S1, S2, and S3 systems, Fig. 2) as well as sequence (VGSN versus AGAA). Our NPT simulations cover a broad range of temperatures (298, 348, and 398 K), for both wild-type and mutated sequences, allowing us to probe the structural stability and the early dissociation events occurring in Aß protofilaments. We find that all models are stable at room temperature, and converge toward an interdigitated side-chain packing for intermolecular contacts within and between the two-peptide units of the protofilaments.
The D23/K28 salt bridges maintain a stable and relatively rigid interdigitated structure. However, we find that during the initial stages of fibril dissociation the D23/K28 contacts in Aß peptides at fibril ends can break to form the competing E22/K28 interaction. This observation suggests that the loss of E22/K28 contacts could be an important fingerprint of the transition experienced by the Aß peptides from their solution structures toward the fibril conformations (19
). As reported before (12
), we find narrow water channels solvating the D23/K28 salt bridges interior to Aß fibril segments.
Simulations at all temperatures reveal that ß-strand staggering is a characteristic element of Aß protofilaments, permitting a compact, interdigitated packing of side chains from neighboring ß-sheets. We find that the type of staggering, as defined by using the intrinsic directionality of Aß fibrils, can differ for different fibril models, and we observe a noticeable bias across several fibril models toward adopting positive staggerings (Fig. 2). As the most dramatic change in structure, we observed collective sliding of N- and C-terminal ß-sheets on top of each other. Simulations show that Aß peptides may adopt structural conformations with smaller ß-sheet staggering for residues close to the loop than for those at the tip of the strands (Fig. 4 D), with N- and C-terminal strands of the same Aß peptide being at an angle to each other. At elevated temperatures, simulations show features common to different models, most notably loss of order in the solvent-exposed N-terminal ß-strands coupled to structural disorder in the loop regions. The loop regions and the N-terminal ß-strands appear most sensitive to temperature increases. Mutations of loop residues are found to enhance the flexibility of the fibrils at elevated temperatures. Our simulations suggest that the hydrophobic fibril core comprising the C-terminal ß-strands of the two molecular fibril layers is a major stabilizing element and its formation may constitute a crucial step in the aggregation and elongation of Aß protofilaments.
| SUPPLEMENTARY MATERIAL |
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| ACKNOWLEDGEMENTS |
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This research was supported by the Intramural Research Program of the National Institutes of Health, National Institute of Diabetes and Digestive and Kidney Diseases.
Submitted on November 3, 2006; accepted for publication January 11, 2007.
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