Hoang Linh Nguyen1,2,3, Huynh Quang Linh2,3, Paolo Matteini4, Giovanni La Penna5, Mai Suan Li. 1. Institute for Computational Science and Technology, SBI Building, Quang Trung Software City, Tan Chanh Hiep Ward, District 12, Ho Chi Minh City 700000, Vietnam. 2. Ho Chi Minh City University of Technology (HCMUT), Ho Chi Minh City 700000, Vietnam. 3. Vietnam National University, Ho Chi Minh City 700000, Vietnam. 4. Institute of Applied Physics "Nello Carrara", National Research Council, Via Madonna Del Piano 10, I-50019 Sesto Fiorentino, Italy. 5. National Research Council of Italy (CNR), Institute for Chemistry of Organometallic Compounds (ICCOM), 50019 Florence, Italy.
Abstract
Amyloid-β (Aβ) peptides form assemblies that are pathological hallmarks of Alzheimer's disease. Aβ oligomers are soluble, mobile, and toxic forms of the peptide that act in the extracellular space before assembling into protofibrils and fibrils. Therefore, oligomers play an important role in the mechanism of Alzheimer's disease. Since it is difficult to determine by experiment the atomic structures of oligomers, which accumulate fast and are polymorphic, computer simulation is a useful tool to investigate elusive oligomers' structures. In this work, we report extended all-atom molecular dynamics simulations, both canonical and replica exchange, of Aβ(1-42) trimer starting from two different initial conformations: (i) the pose produced by the best docking of a monomer aside of a dimer (simulation 1), representing oligomers freshly formed by assembling monomers, and (ii) a configuration extracted from an experimental mature fibril structure (simulation 2), representing settled oligomers in equilibrium with extended fibrils. We showed that in simulation 1, regions with small β-barrels are populated, indicating the chance of spontaneous formation of domains resembling channel-like structures. These structural domains are alternative to those more representative of mature fibrils (simulation 2), the latter showing a stable bundle of C-termini that is not sampled in simulation 1. Moreover, trimer of Aβ(1-42) can form internal pores that are large enough to be accessed by water molecules and Ca2+ ions.
Amyloid-β (Aβ) peptides form assemblies that are pathological hallmarks of Alzheimer's disease. Aβ oligomers are soluble, mobile, and toxic forms of the peptide that act in the extracellular space before assembling into protofibrils and fibrils. Therefore, oligomers play an important role in the mechanism of Alzheimer's disease. Since it is difficult to determine by experiment the atomic structures of oligomers, which accumulate fast and are polymorphic, computer simulation is a useful tool to investigate elusive oligomers' structures. In this work, we report extended all-atom molecular dynamics simulations, both canonical and replica exchange, of Aβ(1-42) trimer starting from two different initial conformations: (i) the pose produced by the best docking of a monomer aside of a dimer (simulation 1), representing oligomers freshly formed by assembling monomers, and (ii) a configuration extracted from an experimental mature fibril structure (simulation 2), representing settled oligomers in equilibrium with extended fibrils. We showed that in simulation 1, regions with small β-barrels are populated, indicating the chance of spontaneous formation of domains resembling channel-like structures. These structural domains are alternative to those more representative of mature fibrils (simulation 2), the latter showing a stable bundle of C-termini that is not sampled in simulation 1. Moreover, trimer of Aβ(1-42) can form internal pores that are large enough to be accessed by water molecules and Ca2+ ions.
The extracellular accumulation
of amyloid-β (Aβ) peptide
is the main pathological hallmark of Alzheimer’s disease (AD).[1−4] Recently, among aggregation forms of Aβ, small soluble oligomers
have been determined as the most neurotoxic species rather than mature
fibrils.[2,5,6] Experimental
evidence revealed that oligomers can cause neurotoxicity,[6−8] induce membrane disorder and pores,[8,9] and inhibit
hippocampal long-term potentiation.[2] Therefore,
characterizing the assembly process of Aβ peptides into oligomers
is crucial to get insight into the early steps of AD.Oligomers
are soluble aggregation forms of Aβ that consist
of 2 to about 32 monomers.[7] In contrast
to mature fibrils, oligomers are partially disordered,[10,11] but not as ordered as fibrils,[12,13] which suggests
that a radically structural change occurs in the transition from oligomers
to fibrils. Therefore, the study of the oligomerization process is
important to understand not only neurotoxicity, but also how the fibril
forms. Structural studies of Aβ oligomers by experiment are
difficult due to their transient nature, since they occur as intermediates
along the aggregation pathways. Therefore, stabilization of oligomers
inhibiting the progression to fibrillar structures requires either
chemical modifications[14,15] or specific solvent conditions.[16] In this situation, molecular dynamics (MD) simulation
becomes a useful tool for obtaining the molecular structures of oligomers
with no constraints, oligomerization pathways, and the relevant physicochemical
properties. Replica exchange MD (REMD)[17] show that the content of secondary and tertiary structural elements
strongly depends on the force field, water model, and sampling.[18−24] However, most of computational studies[20,21,23,25] have reached
a general consensus that, in agreement with recent NMR[26] and FRET[27] experiments,
Aβ monomers adopt random coil structures at physiological conditions.
The smallest Aβ aggregates associated with neurotoxicity are
dimers[28] whose structures have been extensively
studied using MD simulations.[29−33] There are variations between the results reported by different groups,
but in general, the dimer structure is more compact with much lower
β content compared to mature fibrils. The Aβ42 tetramer
was studied using a multiscale approach, where the most representative
structures, obtained by coarse-grained REMD simulations, were refined
by all-atom simulations.[34] Polymorphic
stable structures were obtained providing an insight into various
pathways of Aβ aggregation. The computational models comprise
the outer and core chains and, therefore, they are significantly different
from the structure of mature fibrils.[34] Moreover, the interaction with the water solvent is the reason why
the tetramer is more compact and less dry inside than fibrils.Truncated Aβ(17–42) trimers in solution were investigated
using OPEP coarse-grained model and REMD,[35] while all-atom models were applied to study binding of protofibrillar
Aβ(17–42) trimers to lipid bilayer surface.[36] As a toxic agent, the full-length Aβ(1–42)
trimer plays an important role in understanding the cause of AD[10,37−39] and Aβ aggregation,[40] but its structure has not been investigated using all-atom REMD
simulation, which is considered the most accurate sampling technique.
Moreover, in previous works, REMD simulation of small oligomers was
started with protofibrillar structures,[36,41,42] and it remains unclear to what extent the initial
configuration affects the result, since this matters even for Aβ
monomers.[43] To assess how the initial structures
affect the results for trimers, in this article, we study the Aβ(1–42)
trimers using the CHARMM36m force field and TIP3P water model (see
the Material and Methods section) using two
sets of simulations: in simulation 1, the initial structure
includes three random chains preassembled according to docking methods,
while in simulation 2, the REMD run started with a fibrillar
structure. Simulation 1 models the behavior of a trimer
formed by early events in molecular association, while simulation 2 models events closer to dissociation of a stabilized trimer.The issue of occurrence of a barrel structure in Aβ oligomers
has been widely debated, as it may be related with the formation of
an ion channel in a lipid bilayer,[44] which
would lead to the penetration of Ca2+ ions into the cell,
causing toxic effects. Combining ion-mobility mass spectrometry, electron
microscopy, atomic force microscopy, and computational modeling, Eisenberg
et al. demonstrated[45] that Aβ fragments
with a length of 11 residues (residues 24–34, 25–35,
26–36) can form cylindrin-like barrels of tandem repeats held
together by two glycine residues. To check whether a similar structure
can occur in the full-length Aβ oligomers, Xi et al.[46] built barrel-shaped structures consisting of
β2-turn-β3 domains (residues 27–42) and showed
that they are stable in Aβ(1–42) trimers and tetramers
after at least 200 ns of all-atom MD simulations. Preformed tetrameric
Aβ(1–40) and Aβ(1–42) β-barrel structures
made of eight antiparallel β-strands covering residues 9–40/42
with two distinct β-hairpin types and an inner pore diameter
of 0.7 nm were transiently populated in an extensive REMD simulation
with four atomistic force fields and an aqueous solution.[47] Therefore, the question of whether we can observe
the barrel structure in MD simulations starting from the initial configuration
without preformed cylindrin-like barrels remains open. Note that porelike
conformations but not barrels were sampled in Aβ(1–40)
and Aβ(1–42) oligomers obtained using MD simulation with
random initial conformations.[48]Our
results showed some similarities and differences between the
structures obtained in the two sets of simulations. In both simulations,
Aβ(1–42) trimers are compact and much less structured
than mature fibrils. Consistent with Voelker et al.,[48] they form pores with a radius of 1.7–2.1 Å,
suggesting molecules like water and Ca2+ ions can pass
through them. In simulation 1, where the simulation began
with random configurations, for the first time, we obtained trimer
structures containing small β-barrels, but no barrels were found
in simulation 2.The C-terminus of the structures
obtained in simulation 2 is more rigid than in simulation 1. But in both simulations,
the C-terminus is more stable than other regions, which implies that
aggregation may initiate from this terminus. Summing up, with limited
simulation time, the initial conformations can affect the structure
of Aβ oligomers and caution should be used in interpreting the
simulation results.Early detection of toxic oligomers is a
goal of prevention in Alzheimer’s
disease, and structural models of early species are required to understand
all of these efforts. For instance, Raman spectroscopy was used to
explore the structure and mechanism of formation of Aβ(1–42)
fibrils[49,50] and to detect Aβ(1–40) isoform
in various conformational states.[51] Tip-enhanced
Raman spectroscopy was utilized to distinguish between the nontoxic
and toxic forms of oligomers of misfolded HypF-Nprotein, which indicates
a significantly higher content of hydrophobic aromatic residues on
the surface of the toxic form compared with the nontoxic one.[52] Moreover, solvent exposure of Tyr10 in toxic
Aβ oligomers has been proven greater than that in nontoxic oligomeric
forms[53] as well as in mature fibrils,[54] paving a way to use this effect to probe the
structural differences between various forms of Aβ aggregates.
Our simulations showed that, in agreement with the experiment, in
the fibrillary state, aromatic amino acid residues are shielded from
solvent to a greater extent than in the oligomeric state. Since in
this work we are dealing with the full-length Aβ(1–42),
for clarity, Aβ42 will be used instead of Aβ(1–42).
Material
and Methods
Simulation Protocol
We performed two independent REMD
simulations using, respectively, two different initial structures
(Figure ). For one
simulation, we used the lowest-energy structure obtained by docking
Aβ42 dimer structure from Zhang et al.[30] and nine monomer configurations of Aβ42 from Yang et al.[55] The trimer structure with the lowest energy
was chosen as the initial structure (simulation 1, hereafter).
For the second simulation, we extracted chains ABC from the fibril
structure of Aβ42[12] (PDB code 2NAO) as the initial
Aβ42 trimer structure (simulation 2, hereafter).
Figure 1
Initial
structures for REMD simulations 1 (left) and 2 (right). The N-termini and C-termini atoms are shown as
cyan and orange spheres, respectively.
Initial
structures for REMD simulations 1 (left) and 2 (right). The N-termini and C-termini atoms are shown as
cyan and orange spheres, respectively.The simulations were performed with GROMACS[56] 2018.2 package. The force field CHARMM36m[57] was used for peptides parameterization. The force field
has been demonstrated as a good representation for intrinsically disordered
proteins.[57] The initial structures of trimer
were solvated in dodecahedral box of TIP3P[58] water with the minimum distance between solute trimer and the box
edge 1.8 nm. The concentration of Aβ42 was about 8 mM. The minimal
amount of counterions was added to the solvated systems for neutralization.
The systems were relaxed by steepest descent algorithm. Then, the
systems were equilibrated in the NVT ensemble for 1 ns at the temperature T = 300 K followed by 5 ns NPT ensemble simulation at the
pressure P = 1 atm. The temperature and pressure
of systems were kept constant by v-rescale[59] and Parrinello–Rahman[60] algorithms,
respectively. The cutoff for Coulomb interactions was 1.2 nm, and
the particle-mesh Ewald (PME) algorithm[61] was used for long-range interactions. As for van der Waals interactions,
we used a cutoff switching between 1.0 and 1.2 nm. After the systems
were equilibrated, REMD simulations were carried out with 72 replicas.
Temperature was assigned to replica[62] choosing
values in the range of 299.00 to 410.30 K. Exchange between adjacent
replicas was attempted every 1000 steps, and temperatures were slightly
adjusted to have an exchange rate of about 20–25%. The time
step was 2 fs, and the bond length between H atoms and non-H atoms
were kept rigid with the LINCS algorithm.[63] The simulation time for each replica was 600 ns. Configurations
were saved every 20 ps, and the last 15 000 configurations
(300 ns) were used for analysis.We also performed one trajectory
of conventional MD simulation
at 300 K using the same initial structure as in REMD simulation for
three chains of 2NAO. To preserve the fibril conformation, we applied restrains to Cα
atoms with spring constant k = 1000 kJ/mol/nm. The
setup parameters are the same as REMD simulations, except that the
time length of simulation is 20 ns. The RMSD of Cα is about
0.08 nm, indicating that the system changes insignificantly. In this
work, we used the last 10 ns of the simulation for data analysis.
Structural Analysis
A contact is assumed when the distance
between centers of mass of two side chains is smaller than or equal
to 6.5 Å. The STRIDE algorithm[64] was
used to calculate the secondary structure of peptide conformations.
The hydrophobic solvent-accessible surface area (hSASA) is the surface
area of hydrophobic residues. In this work, hydrophobic residues are
glycine (Gly), alanine (Ala), valine (Val), leucine (Leu), isoleucine
(Ile), proline (Pro), phenylalanine (Phe), methionine (Met), and tryptophan
(Trp). The gmx sasa[65] module of the GROMACS
package was used to calculate hSASA.To measure shape anisotropy,
trimer Aβ42 structures were approximated as an ellipsoid with
semiaxes a, b, and c. When c < a, the ellipsoid
is an oblate spheroid, while when c > a, it is a prolate spheroid. The eccentricity is calculated
from equation when c < a and when c > a. The semiaxes are calculated from the three
eigenvalues, I1, I2, and I3, of the inertia tensor,
according toThe trimer
mass m = 13518
g/mol. The height of the trimer is twice the smallest semiaxis. To
represent molecular anisotropy, we also calculated the ratio between
the smallest and the largest inertia eigenvalues. This ratio is multiplied
by 10 and rounded to the nearest integer to provide an anisotropy
index (RI) between 1 and 10.The
molecular dipole is calculated with the point charges of the
force field, using the center of mass of the trimer as the reference
for atomic positions and the inertia principal axes as reference frame.[34] The dihedral angles of trimer Aβ42 are
analyzed by the dihedral principal component analysis (dPCA) method.[66] Then, the free-energy surface is constructed
from the first two components. The free energy is defined aswith P the probability and Pmax the
maximal probability of the point in
the two-dimensional space.We used the k-means
method for clustering structures,[67] and
the number of basins of the two-dimensional
free-energy landscape (FEL) was obtained by the silhouette method.[68] These methods are implemented in RStudio software.The MOBCAL software[69,70] was used to estimate the collision
cross section (CCS), which characterizes the ion mobility of Aβ42
trimer using the trajectory method (TM) with the effects of ion-induced
interactions included. Theoretical CCS values are very useful for
the comparison with experimental results, though they are difficult
to interpret independently.[71]
Assembly Structure
and Water Penetration
To determine
and calculate the size of pores in trimer configurations, we used
the MOLE software.[72] Parallel disks are
drawn at the entrance and exit of cavities. A segment is drawn connecting
the centers of the disks. The radius of the pore is the distance from
the segment connecting disks and the nearest atom.The β
barrel was assigned using the method proposed by Murzin et al.[73,74] Aβ barrel is formed when at least one β-strand of the barrel does not have side-chain contacts with one of
its neighbors. The shear number S is calculated by
rotating the barrel around an axis perpendicular to the strands until
the original coordinates of the first strand (strand 1) are overlapped.
The absolute value of the difference between the terminal and initial
residues of strand 1 is the shear number S.To measure water penetration, we built a convex hull in trimer
configurations using quick hull algorithm.[40,75] Then, based on the built convex hull, we constructed a concave hull
by an algorithm proposed by Park and Oh using threshold 5.[76] The water molecules inside this concave hull
are counted as internal water molecules.The hydropathy index
of each residue is obtained from the study
of Kyte and Doolittle.[77] A comparison between
collected configurations and some reference structures was performed
calculating root-mean-square deviation (RMSD). Fibril structures used
as reference are 5OQV,[78]5KK3, 2MXU,[79]2NAO,[12] and 2BEG.[80] The atoms used in RMSD calculations
are the backbone atoms of corresponding sequences in three chains
of Aβ42 fibrils. In twofold symmetry structures, we extracted
three chains from one side of the structure, i.e., from the asymmetric
unit. To calculate RMSD between our trimer and the barrel structure 3SGO,[81] we used regions 15–25 and 30–40 for structural
alignment because these regions display the most structured β-strands.
In the 3SGR case,[81] we used region 16–40 for structural alignment
for the same reason.
Results and Discussion
Difference in the Initial
Conformations
We remind (see
the Material and Methods section) that we
performed REMD simulations 1 and 2 using,
respectively, two different initial structures: (i) the first one
obtained from a docking protocol and (ii) the second one obtained
from three chains (ABC) in the fibrillar structure of Aβ42 (PDB
ID 2NAO). We
calculated the secondary structures and interchain contact maps of
initial structures to investigate the structural difference between
them. The secondary structure of initial conformations (Table ) indicates that trimer Aβ42
structures from 1 and 2 are significantly
different. The β-structure of 1 is low (8.73%),
while in 2, it is high (37.30%), which is consistent
with the fact that 2NAO has no helix domains, while in docking conformation, the helix structure
has significant population (15.08%). Furthermore, the extent of the
turn in 1 is larger than that in 2.
Table 1
Secondary Structure (%) of Initial
and Average (T = 300.38 K) Aβ42 Trimer Conformations.
Errors (within Parentheses) Are Standard Deviations
simulation 1
simulation 2
structure
initial
average
initial
average
β
8.73
24.87 (1.97)
37.30
25.14 (2.39)
helix
15.08
2.72 (0.30)
0.00
1.45 (0.26)
turn
53.17
23.95 (1.39)
29.37
25.30 (1.73)
coil
23.02
48.45 (1.70)
33.33
48.11 (2.20)
Similar to the secondary structure, the interchain
contact map
of initial configurations (Figure S1) shows
that the three chains in 1 arrange differently from the
three chains of 2NAO (in 2). In the case of docking structure 1, the distribution of contacts is sparse. The regions showing mutual
interactions are 10–20 and 30–40 (residue numbers).
On the contrary, in the three chains of 2NAO, the contacts concentrate along the diagonal
and between 15–28/25–35. This result comes from the
ordered arrangement of chains in the fibril structure (Figure ), in which the chains align
parallel to each other because of extended hydrogen bonds between
backbone atoms in flanking β-strand regions. The total hydrophobicity
index of residues that form interchain contacts of 1 and 2 are, respectively, 153.4 and 169.3. This result indicates
that the interface between chains in 2NAO is more hydrophobic than in docking structure,
which is reasonable because chains in a fibrillar structure as 2NAO are arranged in
a stable state, with optimal attractive interactions, while the docking
structure represents an initial not yet stable encounter complex.
Convergence of the Simulations
To investigate the convergence
of the REMD simulations, we calculated the configurational entropy
for replicas in two time windows, 300–600 and 450–600
ns. The result (Figure S2) shows that the
difference of entropy between these time windows is negligible, which
indicates that the simulations converged. Furthermore, the calculation
of heat capacity in two time windows (Figure S3) also indicates that there is no change after 300 ns. We also constructed
FEL for two time windows. Their structures differ in some details,
but overall they look quite similar (results not shown), which indicates
that we have reached at least quasi-equilibrium. Therefore, in this
work, we used configurations in the time window 300–600 ns
for data analysis and T = 300.38 K.
Secondary Structures
of Aβ42 Trimer
A comparison
between the extents of the secondary motifs obtained by simulations
(Table ) indicates
that, within errors, the secondary structure displays a small difference
between REMD simulations 1 and 2. Therefore,
despite the difference displayed by the initial structures (Table and Figure ), the average secondary structure
of the trimer in water solution is not significantly affected by initial
conditions. The β-strand content in both systems
(Figure ) is high
in regions 15–20 and 30–40. However, in 1, the β-structure of chains is different from that in 2 (Figure ): the C-terminus of the trimer obtained from 2NAO has sharp peaks
in the distribution, while in the docking case, the peaks are curly.
Both systems display a low extent of helix. The total average of β-strand
and helix structure (≃27%) is lower than the total amount of
disordered motifs (turn and coil, ≃73%) in both REMD simulations
(Table ), which indicates
that Aβ42 trimer is mostly in disordered state. This result
is consistent with experimental data[10] as
well as with computational studies for other low-weight Aβ oligomers.[34,82] Moreover, the secondary structure of the two REMD simulations differs
mostly in the C-terminal region, suggesting the high persistence of
this terminal in the structure of the Aβ42 trimer, once a bundle
of the C-termini is formed, as in the 2NAO structure or in other mature fibrillar
structures.
Figure 2
Distribution of secondary structures of chains of Aβ42 trimer
at 300.38 K, averaged in the last 300 ns of simulations.
Distribution of secondary structures of chains of Aβ42 trimer
at 300.38 K, averaged in the last 300 ns of simulations.
Shape of Trimeric Structures
Because the distribution
of secondary structures is similar between the two REMD simulations 1 and 2, we investigated the shape of trimer
structures using the anisotropy index RI (see the Material and Methods section).
The structure is defined as compact when RI > 5 and as an extended conformation when RI ≤ 5. The ratio of compact conformations from simulation 1 is 0.77 ± 0.06, while for 2, it is 0.66
± 0.02, which means that the trimer structures obtained from
simulation 1 are more compact than the structures obtained
from three chains of 2NAO (2). The eccentricity values are 0.81 ± 0.09 (a > c) and 0.83 ± 0.08 (a > c) for 1 and 2, respectively,
indicating that Aβ42 trimers have a oblate spheroid shape. These
eccentricity values are equivalent to cluster 3 of the Aβ42
tetramer obtained from UNRES model,[34] suggesting
that the Aβ42 trimers and tetramers have a similar discoidal
shape.
Hydrophobic Solvent-Accessible Surface Area (hSASA) and Raman
Spectroscopy
The hSASAvalues in both simulations are equivalent
within the error bars (Table ), suggesting that the compaction of hydrophobic residues
in the two systems is the same. The hSASA of trimeric structures is
similar to the hSASA of Aβ42 tetramer in the OPLS force field
but less than that in the AMBER force field from our previous simulation.[34] Thus, hSASA is highly dependent on the choice
of force field. However, the hSASA of trimer structures in this work
is smaller than or equivalent to the tetramer in the AMBER and OPLS
force fields because the number of chains in the trimer is smaller
than in the tetramer.
Table 2
Average hSASA, Height,
and CCS of
Aβ42 Trimer Obtained at T =
300.38 K
simulation 1
simulation 2
hSASA (nm2)
38.91 (2.91)
36.46 (3.08)
height (nm)
2.15 (0.22)
2.03 (0.23)
CCS (nm2)
18.15 (1.03)
17.96 (1.10)
Errors (within
parentheses) are
standard deviations.
Errors (within
parentheses) are
standard deviations.To
compare the solvent exposure of residues in the Aβ42 trimer
and in fibrils, we calculated the ratio between the SASA values of
the residues in the trimer, fibrils (2NAO), and free amino acids.
In the fibril case, we considered only residues in the core chains,
neglecting the first and the last chains because in a real fibril
the number of core chains increases with the fibril size. Residues
in the trimer have a larger solvent exposure than fibrils (Figure ), with the exception
of Tyr 10, Gly 9, and Ala 21. This result is reasonable since we calculated
SASA for the core chain of fibrils. In fibrils, residues Phe 19, Phe
20, Gly 29, Ala 30, Ile 31, Ile 32, Gly 33, and Val 39 are completely
shielded from solvent access (Figure ), which is a consequence of assembly of chains into
a hydrophobiccore.
Figure 3
Ratio between SASA of residues and free amino acid molecules
(see
the Material and Methods section). Aβ42
trimer simulation 1 (green); Aβ42 trimer simulation 2 (red); three chains of 2NAO structure (black).
Ratio between SASA of residues and free amino acid molecules
(see
the Material and Methods section). Aβ42
trimer simulation 1 (green); Aβ42 trimer simulation 2 (red); three chains of 2NAO structure (black).Because the binding sites of metal ions, such as Zn(II) and Cu(II),
are mainly in the N-terminal region,[83,84] the low solvent
exposure of residues in fibril suggests that the binding of these
ions to the fibril is more difficult than to oligomer. Aran et al.
observed that in Aβ42 oligomers and monomers, Tyr10 is more
solvent-exposed than in fibrils.[54] Furthermore,
using Raman spectroscopy, Yamamoto et al. determined the hydrogen
bonding between tyrosine residues and the solvent.[85] Based on the information of the network of hydrogen bonds,
it is possible to find out whether tyrosine residues are buried or
exposed to solvent. They found that tyrosine residues in the amyloid
fibril formed by insulin are less solvent-accessible than in native
insulin, which is in line with the Aβ result.[54] However, these results are inconsistent with our results,
which is probably a consequence of a smaller number of chains compared
to experimental oligomer samples. To investigate this possibility,
we calculated the SASA ratios for the Aβ42 tetramer using the
simulation data from our previous work[34] and for fibrils made of four chains extracted from the 2NAO structure (Figure S4).The 2NAO fibril,
previously studied,[34] does not have a core
chain since it consists of two branches with two chains per branch.
Therefore, we calculated the average SASA ratio for four chains in
the tetrameric and fibrillar systems. In both force fields, the fibril
system has no region that is shielded from solvent access (Figure S4), which is reasonable because there
is no core chain in this structure. Nevertheless, the solvent exposure
of Tyr10 in the fibril case is slightly smaller than that of a tetramer
with the AMBER force field, and this residue is significantly screened
from
water access in fibrils with the OPLS force field. These results indicate
that, as expected, the SASA ratio of residues depends on the number
of chains and conformation of fibrils. We expect that as the number
of chains extracted from fibrils to model oligomers increases (i.e.,
larger oligomers are modeled), the result for the computational SASA
ratio will be more consistent with experiments.
Height, Collision
Cross Section (CCS), and Intermolecular Nonbonded
Interactions
The average height of trimers is about 2 nm
in both simulations, which is consistent with experimental observation.[86] In addition, the height of the Aβ42 tetramer
obtained from the MD simulations is also about 2 nm,[34] which indicates that low-order Aβ oligomers, like
trimers and tetramers, have an equivalent height. This may be due
to the fact that both trimers and tetramers are compact.Within
the error bars, both REMD simulations gave the same values of about
18 nm2 for CCS (Table ). Although CCS of the trimer has not been experimentally
determined, our result is reasonable as it falls between the values
obtained by mass spectroscopic measurements for the Aβ42 dimers
(≈12.5 nm2) and tetramers (≈23.3 nm2).[39]We calculated the nonbonded
interaction energies between the chains
in the trimer (Table ). In both cases, the electrostatic interaction dominates the van
der Waals (vdW) interaction. This result differs from the Aβ42
tetramer,[34] in which vdW interactions play
a dominant role. Although the force fields used in this and the previous
study are different, the number of chains probably decides which interaction
is more important, but not the choice of force field. A smaller number
of chains in the trimer allows monomers to more easily organize their
mutual orientation and interactions. As a result, the electrostatic
energy in the trimer can take a more negative value than in the tetramer.
Table 3
Average Interchain Interaction Energy
(kcal/mol) for Different Components of the Aβ42 Trimer Obtained
at T = 300.38 Ka
simulation 1
simulation 2
three
chains
of 2NAO with
restrained Cα atoms
electrostatic
–217.08 (66.90)
–347.30 (88.20)
–334.75 (0.28)
van der Waals
–126.42 (22.60)
–155.89 (20.75)
–202.63 (5.17)
total
–343.50 (89.50)
–503.19 (108.95)
–537.38 (55.45)
Errors (within parentheses) are
standard deviations.
Errors (within parentheses) are
standard deviations.As
in the mechanism of aggregation that we proposed,[34] the lower the weight of the oligomer, the easier
it is to minimize the electrostatic repulsion between the chains at
physiological pH, where the charge of Aβ42 is −3. Therefore,
the lower electrostatic energy achieved by the trimer configurations
compared to the tetramer is reasonable. Moreover, lower values of
the intermolecular interaction between the monomers in the trimer
than in the tetramer suggest that higher-order oligomers have stronger
electrostatic repulsion, which is compensated by strong vdW attraction.
This leads to a limited chance of organizing low-order oligomers before
electrostatic repulsion between the monomers destroys the oligomer.
The interaction in the 2NAO case, simulation 2 (−503.19 ±
108.95 kcal/mol), is lower than that of the trimeric structures from
simulation 1 (−343.50 ± 89.50 kcal/mol) with t-test p < 0.0001, which is considered
as statistically significant (Table ). The difference comes from the electrostatic energy
in 2NAO being
lower than that in the docking case, while the vdW energies are the
same in both REMD simulations. Furthermore, the interaction between
three 2NAO chains
with restrained Cα atoms is equivalent to that of the structures
from simulation 2 within errors. This result indicates
that the initial structure extracted from 2NAO is already stable. Intermolecular interactions
of these cases are favorable, which indicates that the ordered arrangement
in the Aβ42 fibril minimizes the electrostatic interaction,
leading to stabilization of the assembled structure and allowing further
fibril elongation. The conformation of the three chains used in this
work was extracted from one side of 2NAO, while in our previous simulation,[34] the tetramer extracted from 2NAO was made of two
compartments that form a fibrillar unit along its elongation axis,
with two chains per compartment. Thus, the intermolecular interactions
in the trimer and tetramer with restrained Cα atoms are different,
which caused a topological difference in the assembly of monomers
into small oligomers.
C-Terminal of the Trimer Obtained in Simulation
Using the Fibrillar
Structure as the Initial Configuration Is Stable
Intrachain
contacts around the turn region (residues 25–29, as displayed
by Figure ) are more
extended in simulation 1 than in simulation 2. This extension is accompanied by an increase in the number of contacts
between residues in the N-terminus (residues 1–16) compared
to 2. On the other hand, a few long-range intrachain
contacts that are displayed by simulation 2 and that
stabilize the C-terminus are demolished in simulation 1.
Figure 4
Intrachain (top) and interchain (bottom) contact map of the Aβ42
trimer at T = 300.38 K.
Intrachain (top) and interchain (bottom) contact map of the Aβ42
trimer at T = 300.38 K.In terms of interchain contacts, 1 displays three
regions with significant interactions: 30–42/30–42,
10–20/10–20, and 10–20/30–40. Especially,
30–35/30–35 and 15–20/15–20 regions display
a large number of contacts. This map is similar to that displayed
by the initial structure (Figure S1, left),
but with more residues involved. This result is consistent with our
previous work on Aβ42 tetramer[34] and
the results of Urbanc et al.[87] and Barz
et al.[82] and confirms the importance of
these interactions as emerging in early oligomers. In the case of 2, only the regions 15–20/15–20 and 30–42/30–42
have a significant number of interchain contacts, indicating that
these regions are more stable compared to other regions. A much higher
propensity for interactions in 15–20/15–20 and 30–42/30–42
regions, together with a lower probability of 10–20/30–40
contacts in 2 compared to 1 (Figure ), is consistent with an important
role of the persistent C-terminus and hydrophobiccore in stabilization
of Aβ42 fibrils. The above interpretation of the contact map
is supported by the time dependence of RMSD of the trimer with respect
to the initial structure (Figure ). The sequence of Aβ42 is divided into three
regions: the N-terminus of residues 1–15; central region, residues
16–29; and the C-terminus, residues 30–42. The total
hydropathy indexes (see the Material and Methods section) of these regions are −25.3, −0.3, and 34.2,
for the N-terminus, center, and C-terminus, respectively, indicating
that the C-terminus is the area with the strongest hydrophobicity.
Simulation 1 shows that all three regions have equivalent
RMSD values (Figure ) and the corresponding structures change dramatically during the
simulation.
Figure 5
RMSD as a function of time (t) of the N-terminal
(black curve), central (red), and C-terminal (green) regions of Aβ42
trimer at T = 300.38 K. The reference structures
are initial conformations.
RMSD as a function of time (t) of the N-terminal
(black curve), central (red), and C-terminal (green) regions of Aβ42
trimer at T = 300.38 K. The reference structures
are initial conformations.However, the C-terminus of the three chains in simulation 2 has a lower RMSD than the other regions (Figure ), and the N-terminus has the
highest RMSD. Therefore, the C-terminal region in three chains of 2 tends to keep the initial structure intact, which is different
from the behavior in simulation 1. Since the hydropathy
index of C-terminus is the highest, the hydrophobic interaction between
residues strongly stabilizes this region. Furthermore, the initial
three chains extracted from 2NAO (Figure ) have a high interchain contact probability (Figure S1) and the structure of C-terminus bundle in the trimer
simulated in 2 is stable.We calculated a nonbonded
interaction map of regions in various
chains, including the N-terminus, center, C-terminus, and solvent
(Figure , Tables S2, and S3). In both simulations, the
interaction between the C-terminus and the solvent is the weakest,
while the N-terminus has the strongest interaction with the solvent.
This result is consistent with the hydropathy of the C-terminus, which
is the highest, while the N-terminus is the most hydrophilic region.
The interactions between the N-terminus and other components (Figure ) are similar in
both REMD simulations, suggesting that the initial structure has a
negligible effect on the behavior of the N-terminus region. The total
energy for the interaction between the central regions of the different
chains in 2 is lower than that in 1, but
the nonbonded interaction between the central and C-terminal regions
in 2 is higher than that in 1.
Figure 6
Sum of electrostatic
and van der Waals energy (kcal/mol) for regions
of different chains and solvent at T = 300.38 K.
The numbers within the squares are the average values, while the color
coding indicates the scale. The values of electrostatic and van der
Waals components and their standard deviations are reported in Tables S2 and S3.
Sum of electrostatic
and van der Waals energy (kcal/mol) for regions
of different chains and solvent at T = 300.38 K.
The numbers within the squares are the average values, while the color
coding indicates the scale. The values of electrostatic and van der
Waals components and their standard deviations are reported in Tables S2 and S3.In both REMD simulations, nonbonded interactions between the central
and N-terminal regions are equivalent. The interactions between the
C-termini of the various chains in simulation 2 are much stronger
than that in 1 (Figure ). The vdW interaction between the C-termini in 2 is less than those in all other cases. These results are
consistent with the highest hydropathy index, and consequently the
weakest interaction with water, of the Aβ42 C-terminus, which
favors self-interaction. Taken together, in simulation 2, the C-termini extracted from the fibrillar structure are stable
due to the strong interactions between them and their weak interaction
with water.
Free-Energy Landscape of Aβ42 Trimer:
Emergence of Barrel
Motif
Using the dPCA method (see the Material
and Methods section), we constructed FEL for the Aβ42
trimer in two simulations (Figures and 8). FEL is complex and
consists of 15 and 12 basins for 1 and 2, respectively. In simulation 1, all characteristic
structures are in disordered conformations. β-Strands are present
in most representative structures, but they are not long enough to
form a cross β-structure as in mature fibrils.[13]
Figure 7
Free-energy landscape of the Aβ42 trimer and representative
structures obtained from REMD simulation 1. The N-terminal
and C-terminal residues are shown as cyan and orange spheres, respectively.
V1 and V2 are the first two dPCA eigenvectors (see the Material and Methods section). A β-barrel is present
in S6 and S11 (red).
Figure 8
Same as Figure , but for simulation 2.
Free-energy landscape of the Aβ42 trimer and representative
structures obtained from REMD simulation 1. The N-terminal
and C-terminal residues are shown as cyan and orange spheres, respectively.
V1 and V2 are the first two dPCA eigenvectors (see the Material and Methods section). A β-barrel is present
in S6 and S11 (red).Same as Figure , but for simulation 2.A barrel-shaped structure was
experimentally observed in an oligomer
of αB crystallin[81] and hexamer of
Aβ C-terminal fragments.[45] Shafrir
and co-workers presented the Aβ42 hexamer in the barrel form
with a C-terminus in the core of the barrel.[88] Serra-Batiste et al. found that the Aβ42 oligomer forms a
barrel in a membrane-mimicking environment.[89] These results indicate that a barrel motif is accessible to low-weight
oligomers. The stability of preformed barrel structures in full-length
Aβ trimers and tetramers was computationally probed.[46,47] We again emphasize that the barrel-shaped structure was never observed
in previous computational studies, where simulation was started with
conformations without barrels.Interestingly, we found that
the structures S6 and S11 obtained
in simulation 1 (Figure ) have a β-barrel-like structure (Figure ). To investigate whether these
structures satisfy the criteria of β-barrel, we used the definition
described in the Material and Methods section.
The number of strands in β-barrels is six for both structures
S6 and S11, while the shear number S = 8 for clusters
6 and 11 (Figure ).
Therefore, structures S6 and S11 have the same class of β-barrels.
However, the barrel displayed by structure S6 is partially open, while
the barrel in S11 is closed. The residues involved in these two β-barrel
structures are shown in Table S4. The average
diameter of β-barrel formed in simulation 1 is
12.2 ± 2.2 Å; thus, it is smaller than that reported by
Jang et al., 17–25 Å.[42,90,91] This difference is due to the larger number of monomers
(16–24) in previous studies[90,91] compared to
our work. The average β-barrel diameter obtained in this work
is slightly larger than the inner pore diameter of 7 Å observed
by Serra-Batiste et al.,[89] but this difference
arises from a different definition: in this work, we calculated the
mean diameter of barrel using interatomic distances, while in ref (89), the inner diameter of
the space inside the barrel was calculated. Thus, a difference of
about 2 vdW radii is reasonable.
Figure 9
β-Barrel in clusters S6 and S11
of simulation 1, n is the number of
β-strand in barrel, and S is the shear number.
The atoms of the N-terminal and C-terminal
residues are in cyan and orange, respectively.
β-Barrel in clusters S6 and S11
of simulation 1, n is the number of
β-strand in barrel, and S is the shear number.
The atoms of the N-terminal and C-terminal
residues are in cyan and orange, respectively.Although the population of each cluster 6 and 11 is smaller than
that of cluster 1, the total population of the former two clusters
is 12.30%, which is greater than that of cluster 1 (11.86%). Therefore,
the probability of the presence of β-barrel in the trimer structures
obtained from simulation 1 is significant. The nonbonded
interaction energies of structures S6 and S11 are not the lowest among
all structures, indicating S6 and S11 as the local minima of potential
energy.The formation of the β domain is facilitated by
the formation
of a β-turn-β hairpin motif with intrachain contact between
the N- and C-termini of each chain, together with the formation of
interchain contacts between the N- and C-termini. Consequently, the
C-terminus bundle in the 2NAO structure, which is mainly due to interactions between
the parallel C-termini of different chains, is broken in simulation 1, while it is kept in simulation 2 (Figure ). This happens in
our model construction, that is, the choice of initial configurations:
the docking selection of the monomer and the dimer, mimicking a first-encounter
trimer, has more chances to mutually orient the N- and C-termini of
each chain to form a seed of β hairpin motifs that evolves into
trimers resembling a small β-barrel structure (Figure compared to Figure ).The fibrillar bundle
of parallel C-termini evolves in a draft of
parallel C-termini intercalated by antiparallel N-termini, that is,
the topology proposed in ref (89) for Aβ42. A good agreement of barrel diameter between
our work and ref (89) is consistent with the convergence of both models toward the same-chain
arrangement. In our work, we show that three chains can be the minimum
number to allow the appearance of this kind of topology and trigger
an assembly pathway alternative to fibrillar aggregation.In
the case of the Aβ42 trimer obtained from REMD simulation 2, the range of V1 and V2 is not as wide as in 1 (compare Figures to 7). We obtained 12 basins from clustering
FEL from 2. The characteristic structures displayed in Figure are more disordered
than the initial structure (Figure , right), which is a consequence of the release of
interactions present in the fibril during the simulation. This release
is mainly due to the extraction of three chains from the infinite-length
fibril. As in simulation 1 (Figure ), the characteristic structures have multiple
short β-strands and only five clusters have short helices (S2,
S4, S6, S8, S9). The β-strands in the C-terminus of structures
S1, S2, S4, S6, S7, S8, S9, S10, S11, and S12 have a similar conformation
to the C-terminus of initial structure (Figure , right).We calculated the RMSD relative
to the initial 2NAO structure for three
regions, the N-terminus, central region, and C-terminus, of the Aβ42
trimer for representative structures. Residues in the C-terminus of
structures S1, S2, S4, S6, S7, S8, S9, S10, S11, and S12 have the
lowest RMSD compared to other regions (Table S1). Therefore, the characteristic structures also show that the C-terminus
of the initial structure is more stable, while the conformation of
other regions changes rapidly and sharply during simulation 2.Contrary to simulation 1, we did not
observe a β-barrel
structure in simulation 2. We calculated the RMSD of
all collected configurations using several PDB structures as reference,
including the typical β-barrel structures reported in the PDB.
The backbone atoms were used in the structural comparison. In Figure , we show RMSD
with respect to PDB structures 3SGR and 3SGO,[81] together
with the comparison to some typical fibril structures (2NAO,[12]2MXU,[13]2BEG,[80]5KK3, and 5OQV(79)). All of these fibril structures consist of parallel β-strands.
Figure 10
RMSD
of backbone atoms for the Aβ42 trimer with reference
from several β-barrel structures (3SGO, 3SGR) and Aβ fibril structures (2NAO, 2MXU, 2BEG, 5KK3, 5OQV).
RMSD
of backbone atoms for the Aβ42 trimer with reference
from several β-barrel structures (3SGO, 3SGR) and Aβ fibril structures (2NAO, 2MXU, 2BEG, 5KK3, 5OQV).The transition from parallel to antiparallel fibrillar aggregates
was observed with a single-point mutation D22N (Iowa variant).[92,93] Thus, this mutation shows that a small change in intramolecular
interactions, namely, the release of the Asp22-Lys28 salt bridge,
allows both fibrillar architectures to be sampled. In fibrillar conformations,
only 2NAO and 5OQV have a β-strand
at the N-terminus. 2NAO has β-strands in regions 2–6, 15–18, 26–28,
30–32, and 38–42. In 5OQV, the β-rich regions are 2–9,
11–21, 25–36, and 39–42. The 2MXU structure has three
β-strands: 12–20, 27–32, and 36–41. 5KK3 has β-strands
in regions 15–18, 26–28, 30–32, and 39–42.
In 2BEG, β
regions cover residues 18–26 and 31–42. It can be noted
that there is a significant population for the smallest RMSD with
respect to 3SGR in both simulations. This population is also present in simulation 2, but most of the configurations are “attracted”
to the fibrillar structures that were selected as the initial configurations.
In simulation 1, the maxima of the RMSD distribution
are found at lower RMSD values for 3SGR and 3SGO than for all fibrillar structures, thus
showing that the structural similarity is higher for β-barrel
structures than for all fibrillar structures, although the RMSD values
of the maximum populations have high values (1.3–1.5 nm) (Figure ). In 1, the structural deviation from typical β-barrel motifs is,
on average, less than that from fibril structures. Comparing the RMSD
distributions for 1 and 2 (top and bottom
panels of Figure , respectively), we can see that the β-barrel motif is an intermediate
state along the transition from 2NAO/5OQV structures to other fibril states.As mentioned
above, one of the possible mechanisms for Aβ-induced
neurotoxicity is that Aβ peptides can form a channel in the
membrane that allows metal ions such as Ca2+ to transport
through it, resulting in toxicity to cells. This has encouraged a
lot of theoretical[44,94] as well as experimental[95−97] research. Since in previous computational works[94,98] Aβ channels were prebuilt and inserted into the membrane,
it would be interesting to check whether the barrels identified in
our simulations can serve as stable pores. For clarity, barrels obtained
from clusters 6 and 11 (Figure ) will be referred to as barrel 6 and barrel 11, respectively.
Similar to the 3SGR barrel, barrels 6 and 11 are expected to be stable within the membrane
because they have more hydrophobic residues than hydrophilic residues
(Table S5 and Figure S6). We can demonstrate,
for example, that barrel 6 can span the DDPC membrane, but not barrel
11 due to its low height (Table S5). However,
our preliminary results show that even when the barrel cannot cover
the membrane, the channel formed by the barrel and lipid molecules
surrounding the void due to lipid removal above and below the cylinder
can be stable. The presence of such a channel is important as ions
can pass through it into the cell. This interesting problem will be
discussed in the forthcoming publication.
Aβ42 Trimers Can
Form Water-Permeable Pores
We
observed pores (see the Material and Methods section) in the structures representing clusters in the free-energy
landscapes of both REMD simulations (Tables and 5). All observed
pores are at least 5 Å in diameter. The results show that pores
are populated in clusters 3, 6, 11, 12, 13, and 14 in simulation 1 and clusters 1, 3, 4, 6, and 9 in simulation 2 (Figures and 12). The average radius of pores is 1.7–2.1
Å, which is consistent with the observation for the trimer from
ref (48). In the latter
study, pores with a radius in the range of 1.5–2.5 Å were
detected in the Aβ42 trimer, but no β-barrel structure
was found. The reason that β-barrels were found in our simulation
but not in ref (48) is probably related to various modeling protocols. In this work,
we used the all-atom model and performed REMD simulation with 72 replicas
of 600 ns each. On the other hand, Voelker et al.[48] applied the multiscale MD method, where REMD simulation
was first performed for a coarse-grained model, and then the stability
of coarse-grained representative structures was tested using a 200
ns all-atom conventional MD simulation. Thus, from the point of view
of all-atom simulation, we provided better sampling than Voelker et
al., explaining why we observed both β-barrels and pores, but
they found only pores in all-atom structures.
Table 4
Characteristic Structures Obtained
by Free-Energy Landscape Partition of REMD Simulation 1 at T = 300.38 Ka
interchain
interaction energy (kcal/mol)
secondary
structure (%)
cluster
population
of cluster (%)
electrostatic
van der Waals
pore radius
(Å)
β
helix
turn
coil
S1
11.86
–309.15
–142.93
N/A
24.60
6.35
19.84
49.21
S2
8.93
–276.09
–129.70
N/A
23.02
0.00
24.60
52.38
S3
8.74
–299.18
–143.11
1.82 (0.25)
20.64
6.35
22.22
50.79
S4
8.01
–202.60
–104.30
N/A
22.22
8.73
28.57
40.48
S5
7.53
–217.78
–143.59
N/A
24.61
0.00
22.22
53.17
S6
6.84
–240.83
–168.83
1.93 (0.43)
34.92
3.18
33.33
28.57
S7
6.50
–209.34
–110.78
N/A
24.60
2.38
27.78
45.24
S8
6.41
–351.66
–141.56
N/A
26.19
4.76
25.40
43.65
S9
6.40
–324.57
–136.95
N/A
31.75
7.94
26.98
33.33
S10
5.67
–201.56
–85.13
N/A
20.64
2.38
17.46
59.52
S11
5.46
–203.38
–131.23
2.05 (0.45)
34.13
0.00
26.98
38.89
S12
5.37
–406.86
–162.50
1.81 (0.25)
17.46
4.76
19.84
57.94
S13
5.22
–171.73
–128.02
2.16 (0.56)
32.54
7.94
14.29
45.24
S14
3.83
–388.68
–148.07
1.82 (0.23)
29.37
2.38
26.98
41.27
S15
3.21
–92.53
–124.36
N/A
27.78
6.34
14.29
51.59
N/A in pore radius represents no
determined pore. Errors (within parentheses) are standard deviations.
Table 5
Same as Table , but for Simulation 2
interchain interaction energy (kcal/mol)
secondary structure (%)
cluster
population
of cluster (%)
electrostatic
van der Waals
pore radius
(Å)
β
helix
turn
coil
S1
15.44
–681.59
–187.84
1.87 (0.22)
32.54
0.00
6.35
61.11
S2
11.31
–655.46
–207.55
N/A
27.78
5.55
26.19
40.48
S3
10.70
–288.29
–146.26
1.89 (0.27)
34.13
0.00
17.46
48.41
S4
10.67
–229.88
–157.30
1.70 (0.23)
22.22
4.76
15.87
57.15
S5
9.80
–381.51
–162.76
N/A
24.60
0.00
21.43
53.97
S6
9.54
–479.34
–186.41
1.98 (0.34)
30.16
5.56
26.98
37.30
S7
8.48
–237.10
–135.33
N/A
28.57
0.00
33.33
38.10
S8
7.61
–546.31
–168.60
N/A
24.60
2.38
21.43
51.59
S9
5.60
–531.05
–183.49
1.93 (0.20)
23.82
4.76
26.98
44.44
S10
5.09
–386.39
–159.77
N/A
22.22
0.00
24.60
53.18
S11
3.33
–465.62
–170.44
N/A
25.40
0.00
30.16
44.44
S12
2.42
–338.33
–158.81
N/A
26.98
0.00
19.05
53.97
Figure 11
Pores in representative
structures of Aβ42 trimer obtained
from simulation 1. The black circles indicate the pores.
The atoms of N-terminal and C-terminal residues are emphasized as
cyan and orange spheres, respectively. C, green; N, blue; O, red;
H, white.
Figure 12
Same as Figure , but for simulation 2.
Pores in representative
structures of Aβ42 trimer obtained
from simulation 1. The black circles indicate the pores.
The atoms of N-terminal and C-terminal residues are emphasized as
cyan and orange spheres, respectively. C, green; N, blue; O, red;
H, white.Same as Figure , but for simulation 2.N/A in pore radius represents no
determined pore. Errors (within parentheses) are standard deviations.Our result indicates that even low-order
oligomers can form pores
in water with no lipid bilayer, although the shape of pores is random.
The pores that we observed in representative structures have enough
space for water molecules and Ca2+ ions to pass through
because the radius of the water molecule and Ca2+ ion is
about 1.4 Å. The pore radii in our trimer structures are equivalent
to the radii of the narrowest region of ion channels, which are about
2 Å.[99−101] Our analysis suggests that although the
shapes of pores are random and not fully settled into barrels or ion
channels,[88,89] pores in the Aβ42 trimer have a size
in the range of the possible channel. Note that in one model, the
β-barrel and water-permeable pore are clearly separated from
each other (Figure S5).
Water Molecules
in Aβ42 Trimer
The existence
of water molecules inside Aβ fibrils has been debated for many
years. Contrary to the old experiment,[102] in which no water molecules were found in the fibril core, recent
solid-state NMR experiments confirmed their presence.[103,104] This conclusion was also supported by all-atom MD simulation[105] using experimental and computational models
of fibrils. Utilizing the multiscale MD approach, it was found that
the density of water inside the Aβ42 tetramer is higher than
that of mature fibrils.[34] Therefore, it
seems that the water density tends to decrease with increasing size
of Aβ aggregate, and we want to check this point. In addition,
the importance of this problem is related to the fact that water leakage
may be associated with increased neurotoxicity of oligomers in comparison
to mature fibrils.We built a concave hull for the Aβ42
trimeric structures in both REMD simulations (see the Material and Methods section). Water molecules were selected
as inside the trimer if they locate inside this hull. To better compare
trimeric structures with fibrils, we performed the conventional MD
simulation for three and four chains of 2NAO, starting with the same structure shown
in Figure (right),
at T = 300 K for 20 ns. To preserve the initial fibrillar
conformation, we applied position harmonic restraints to Cα
atoms with a harmonicconstant of 1000 kJ/mol/nm. The structures of
simulation 1 have the highest waterconcentration inside
the hull, 3.3 M (Table ).
Table 6
Molar Concentration (M) of Water for
Trimer Structures of REMD Simulations and Conventional MD Simulation
with Restrained C-α Atomsa
trimer
tetramer
1
2
3
1a
1b
3a
3b
molar concentration
3.3 (0.1)
1.4 (0.1)
0.6 (0.1)
2.5 (0.2)
2.4 (0.2)
0.8 (0.1)
0.9 (0.1)
average molar concentration
per chain
1.1
0.5
0.2
0.6
0.6
0.2
0.2
Errors are standard
deviations.
1, simulation 1 (REMD); 2, simulation 2 (REMD);
3, 3 chains of 2NAO with restrained Cα (CMD); 1a, Aβ42 tetramer, AMBER force
field, CMD;[34] 1b, Aβ42 tetramer,
OPLS force field, CMD;[34] 3a, 4 chains of 2NAO with restrained
Cα, AMBER force field, CMD; 3b, 4 chains of 2NAO with restrained
Cα, OPLS force field, CMD.
Errors are standard
deviations.
1, simulation 1 (REMD); 2, simulation 2 (REMD);
3, 3 chains of 2NAO with restrained Cα (CMD); 1a, Aβ42 tetramer, AMBER force
field, CMD;[34] 1b, Aβ42 tetramer,
OPLS force field, CMD;[34] 3a, 4 chains of 2NAO with restrained
Cα, AMBER force field, CMD; 3b, 4 chains of 2NAO with restrained
Cα, OPLS force field, CMD.The trimer from simulation 2 (0.5 M per chain) is
less soaked than 1 (1.1 M) (Figure S6) and tetramer (0.6 M[34]). However,
as expected, the difference between the Aβ42 tetramer and trimer
structures from 2NAO is negligible (Table ). Both the restrained three and four chains of 2NAO have the same molar
concentration of water (0.2 M per chain) and are drier than the Aβ42
trimer and tetramer. These results reinforce the observation from
our previous simulations of tetramers, where oligomers were found
to be more soaked than mature fibrils. The trimer obtained from the
PDB structure 2NAO by a 20 ns CMD simulation with Cα atoms restrained contains
the same number of water molecules per chain (0.2 M) but not more
than that of the tetrameric partner (0.2 M), since the tetramer has
two compartments, allowing more water molecules to be located between
them (Figure S7). Under the same simulation
condition, i.e., starting with random configurations, the tetramer
(0.6 M) is drier than the trimer (1.1 M) (Table ). Therefore, in the aggregation process,
water molecules are ejected out of the oligomer.
Impact of
Initial Structure on the Obtained Oligomers
We calculated
the angles between the dipole and each of the three
components of the inertia moment of the trimer (Figure S8). The trimer dipole in both cases is more isotropic
than that of the mature fibril, consistently with the simulation of
the tetramer.[34] Together with the oblate
ellipsoid (discoidal) shape of the trimer observed in this work (see
above) and for the tetramer,[34] these results
strengthen our picture, where the shape of soluble Aβ42 oligomers
is spheroidal, whileprotofibrils are rod-shaped. The arrangement
of the monomers in fibrils screens the electrostatic repulsion by
optimizing the vdW attraction between the monomers, while in soluble
oligomers, the vdW attraction is looser.This explains why the
C-terminus is more stable in the case of REMD simulation 2, started with three 2NAO chains than in simulation 1. The C-terminal
region is the most hydrophobic and pre-formed
interactions between the C-termini of various monomers maximize the
vdW attraction. As we pointed out in the previous work,[34] the structure of fibril must have a rodlike
shape to minimize the electrostatic repulsion, and the arrangement
of monomers becomes highly ordered due to sealing by backbone hydrogen
bonds. Consequently, the arrangement of monomers in the fibril becomes
preferred in the long mature fibril. The oligomeric structures obtained
from mature fibrils are biased by fibrillar conformations, as it can
be observed from the results presented above on the characteristic
structures, contact map, and interchain interaction energy.
Conclusions
Using the all-atom model and the REMDmethod with two different
initial structures, we report on the structural properties of the
Aβ42 trimer. The trimer models obtained by simulation with different
initial conformations, on average, have a similar secondary structure
and shape. The Aβ42 trimer is dominated by disordered structure
with a disklike shape.The hydrophobicC-terminus is more stable
than the N-terminus and
the peptide center. Due to the strong interaction between the chains
in the bundle formed by the C-termini, the latter do not change significantly
when the initial configuration is extracted from the fibrils. This
result shows that the C-terminus plays an important role in the stabilization
of mature fibril and, therefore, in the late stages of aggregation,
when fibril-like assemblies are sealed. On the contrary, once the
C-terminus bundle is demolished, by choosing a different initial configuration
resembling a trimer, just formed by a monomer and a dimer, many different
structural features emerge during simulation.In an aqueous
medium, the Aβ42 trimer can form pores with
size that is large enough for the passage of water molecules and Ca2+ ions. This result strengthens the experimental and simulated
observations that oligomers can act as ion channels. Furthermore,
barrel structures can be formed more easily in a trimer representing
freshly formed oligomers than in trimers representing mature fibrils,
which suggests that the formation of channel structures is a transient
event that is hindered by fibril formation. We showed that hydrophobic
residues, such as Tyr 10, Gly 9, and Ala 21, have a greater solvent
exposure in oligomers than in fibrils, which can serve as the basis
for using tip-enhanced Raman spectroscopy to distinguish toxic forms
from the nontoxic ones.The Aβ42 trimeric structures are
more soaked than the mature
fibril in both simulations, consistently with the Aβ42 tetramer
case.[34] Therefore, the interaction between
oligomers and solvent plays a crucial role in the accumulation process
of Aβ-soluble species before the formation of mature and less
soluble aggregated forms becomes dominant. Our computational models
may be useful for constructing higher-order oligomers and structure-based
drug design for AD.
Authors: Cristiano D'Andrea; Antonino Foti; Maximilien Cottat; Martina Banchelli; Claudia Capitini; Francesco Barreca; Claudio Canale; Marella de Angelis; Annalisa Relini; Onofrio M Maragò; Roberto Pini; Fabrizio Chiti; Pietro G Gucciardi; Paolo Matteini Journal: Small Date: 2018-08-09 Impact factor: 13.281
Authors: Leonid Breydo; Dmitry Kurouski; Suhail Rasool; Saskia Milton; Jessica W Wu; Vladimir N Uversky; Igor K Lednev; Charles G Glabe Journal: Biochem Biophys Res Commun Date: 2016-06-27 Impact factor: 3.575
Authors: I-Hsien Chou; Melodie Benford; Hope T Beier; Gerard L Coté; Miao Wang; Nan Jing; Jun Kameoka; Theresa A Good Journal: Nano Lett Date: 2008-05-20 Impact factor: 11.189
Authors: C L Masters; G Simms; N A Weinman; G Multhaup; B L McDonald; K Beyreuther Journal: Proc Natl Acad Sci U S A Date: 1985-06 Impact factor: 11.205