Results
and Discussion
Monomer simulations
Aβ1-42 is an intrinsically disordered peptide. While models of Aβ1-42 peptides with partially stable
secondary structures have been deposited in the Protein Data Bank (for instance, the helix -rich
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model with PDB-ID 1Z0Q), these models reflect experimental conditions that stabilize secondary
structure, and are not necessarily representative for the peptide in water. For this reason, we use as
start configurations for our control simulations (without FI10 bound to it) equilibrium
configurations taken after 1 µs from trajectories obtained in previous all-atom molecular dynamics
simulations23 (see the Methods section). As expected for such equilibrium configurations, all three
are disordered with little secondary structure (in R1 β-strands for segments I29-A31 and V39-I41,
in R2 a short helical segment L34-V36, and only coil structure in R3).
Figure 2. The (a) radius of gyration (Rg), (b) solvent accessible surface area (SASA), and (c) the
number of contacts (nC) of the Aβ1-42 monomer in the absence (black) and presence (red) of FI10
as a function of time. Shown is the difference to the corresponding value at time t=0. The plotted
values are averages over three independent trajectories and the shaded regions mark the standard
deviation of the averages. In (d), (e) and (f) we show the corresponding normalized averaged
distributions of the sampled data collected over the final 2.0 μs of each trajectory.
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Over the course of the trajectories, quantities such as the radius of gyration, solvent accessible
surface area or number of intra-strand contacts fluctuate around an equilibrium value, see Figure
2a) - 2c). However, it is not obvious that these three initial configurations represent also
equilibrium structures for the complex formed by Aβ1-42 with FI10, and some time may be needed
to approach equilibrium. For this reason, we chose for our analysis only the last 2 µs of our
trajectories at which time the roo t-mean-square-deviations to the start (not shown) had reached a
plateau for all systems. As observed similarly in previous work for αS, presence of the viral protein
fragment FI10 shifts the ensemble of Aβ1-42 monomer configurations to more stretched and
potentially more aggregation-prone ones with larger radius of gyration (Rg) and solvent accessible
surface area (SASA), but lower number of intra-strand contacts, see Figure 2d) - 2f).
Figure 3. (a) Residue-wise mean square fluctuation (RMSF; in Å) obtained from Aβ1-42 monomer
simulations in the absence (black) and presence (red) of the FI10 segment. binding probability of
the FI10 segment to the Aβ1-42 monomer residues is shown in (b). Data are averaged over the final
two μs of each trajectory. Shaded regions in (a) mark the standard deviation of the averages.
These differences between simulations in absence and presence of FI10 seem to be associated with
a lower flexibility of the C -terminal residues 30 -42 leading to increased values for the residue -
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wise root mean-square fluctuations shown in Figure 3a that are only partially correlated with an
increased binding propensity of FI10 to C -terminal Aβ1-42 residues in Figure 3b. On the other
hand, the time series of residue-wise secondary structure for all six trajectories in Figure 4 seems
to indicate a higher strandness in the C-terminus when interacting with FI10 (Figure 4b) over what
is seen in the control (Figure 4a), however, this signal is weak.
Figure 4. Time series of the residue-wise secondary structure (helix (H), strand (E) and coil (C))
for (a) the three trajectories where FI10 is absent, and (b) the three trajectories where FI10 can
interact with the Aβ1-42 monomer.
In order to get a deeper understanding of the effect of FI10 on the ensemble of Aβ1-42 monomers,
we have clustered the configurations collected over the last 2 μs in the six trajectories (three for
the control, and three with FI10 present) according to the procedure described in the method
section. Considering only clusters containing more than 5% of the configurations in a trajectory,
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we are left in the control simulations with two clusters in trajectory 1, four in trajectory 2 and two
in trajectory 3. The frequencies of these clusters are listed in Table 2. Centroids of these eight
clusters, compromising together around 53% of the 120000 snapshots in all three trajectories, are
shown in Figure 5.
Figure 5. Ribbon representations of the centroid conformations in the eight most popul ated
clusters of configurations sampled over the final 2 μs in the three control trajectories (where FI10
is absent). The N- and C-terminals are colored in blue and red, respectively.
Table 2. Frequency of the eight most populous clusters found in the control simulations, and the
corresponding 14 clusters found in the simulations where FI10 interacts with Aβ1-42 monomer.
Shown are also for both cases the total number of clusters and the cumulative frequency of the
listed most populous clusters. Data are taken over the final 2.00 μs of each trajectory. Frequencies
are rounded to the closest integer.
Cluster
(Control) Frequency % Cluster
(with FI10) Frequency %
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Replica 1: 342 clusters Replica 1: 112 clusters
RC1_C1 6 RF1_C1 22
RC1_C2 6 RF1_C2 17
Replica 2: 72 clusters RF1_C3 14
RC2_C1 42 RF1_C4 10
RC2_C2 26 RF1_C5 6
RC2_C3 11 RF1_C6 5
RC2_C4 7 Replica 2: 385 clusters
Replica 3: 380 clusters RF2_C1 21
RC3_C1 52 RF2_C2 9
RC3_C2 8 RF2_C3 6
cumulative frequency: 53 Replica 3: 101 clusters
Top Two frequency: 44 RF3_C1 29
RF3_C2 22
RF3_C3 10
RF3_C4 7
RF3_C5 5
cumulative frequency: 61
Top Two frequency: 33
In a similar way, we find in the three trajectories following simulations of Aβ1-42 monomers
interacting with FI10, six clusters containing more than 5% of the configurations in trajectory 1,
three in trajectory 2 and five clusters in trajectory 3, with the frequencies of these 1 4 clusters,
compromising together about 61 % of the 120000 sn apshots in all three trajectories, again listed
in Table 2, and their centroids shown in Figure 6.
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Figure 6. Ribbon representations of the centroid conformations in the 14 most populated clusters
of configurations sampled over the final 2 μs in the three trajectories of simulations with FI10
present. The N- and C-terminals are colored in blue and red, respectively.
We notice that in presence of the FI10 viral fragment the monomer conf ormations cluster more
tightly into 199 cluster (containing 61% of all conformations ) than in the control where we find
265 clusters containing 53% of all conformations . Visual inspection of the cluster centroids
suggests that the eight clusters from the control simulations can be characterized by the presence
of certain transient secondary structure elements: b-strands containing three or more residues in
the segment 1 6KLVFFAEDV24 (strand M 1), 30AIIGLMV36 (strand C1), or 37GGVVIA42
(strand C2). This is confirmed by the corresponding plots of the strandness as function of residue
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number in supplemental figure SF2, where these segments appear as clearly identifiable regions.
Note that the strand M1 corresponds to the hydrophobic segment M1 of Figure 1, and the strands
C1 and C2 together form the hydrophobic C -terminal segment C of Figure 1. In six of the eight
clusters (RC1_C1, R C1_C2, R C2_C1, R C2_C2, R C2_C3, R C2_C4) appears the strand M1 in
conjunction with C1 or C2, see the frequencies and lifetimes of the three strand segments of the
various clusters listed in Table 3, which also shows the respective averages taken over all control
simulations. The correspondence of frequencies and similarities in lifetimes of M1 with C1 and
C2, and the joined probabilities of M1 Ç C1 and M1Ç C2 in Supplemental Table ST1 indicate
that presence of strand M1 is correlated with that of strand C2 and to a lesser degree C1 suggesting
formation of a b-sheet between M1 and C2, which sometimes may also include C1.
Similarly, in the simulations where FI10 is present, one can also characterize the clusters by
presence of transient secondary structure elements . However, besides the b-strands M1, C1, and
C2 we also find now an N-terminal b-strand N1 centered around residues 10YEVHH14 and an a-
helix made of residues A30 -L34. Note, however, that, averaged over the three trajectories, less
than 3% of the configurations contain transient helices while about 15% -20% of conformations
have the strand-like segments N1, M1, C1, or C2. Similar to the control simulations, M1 seems to
form in six clusters (RF2_C1, R F2_C3, R F3_C1, R F3_C2, R F3_C4, R F3_C5) a b-sheet with
either C1 or C2, see the frequencies and life times of the four strand segments in Table 3, and the
corresponding joined probabilities M1Ç C1, N1Ç C1, M1Ç C2 and N1 Ç C2 in Supplemental
Table ST1. The values in the two tables indicate for six other cluster (RF1_C1, RF1_C2, RF1_C3,
RF1_C4, RF1_C6, RF3_C3) the formation of a b-sheet between N1 and C1 or C2, in addition to
a sheet between M1 and C1 or C2. Note that the corresponding plots of the strandness as function
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of residue number for the various clusters in Supplemental Figure SF3 indicate that presence of
the viral fragment FI10 seems to shift the preference of residues to be strand -like toward the N -
terminus of the segment M1 (residues 16 -24), so that sometimes N1 and M1 merge. This
corresponds to a broad region of residues 10-20 to which FI10 has high binding affinity, see Figure
3b. At the same time, FI10 also seems to increase strandness of the C1 segment which again also
corresponds to a region of high binding affinity. Life times of the M1 and C1 strands are almost
double than in the control (see Table 3) while that of the C2 strand does not change. However,
binding of M1 to C1 is often associated with that of N1 to C2, and both have comparable life times.
Hence, presence of FI10 seems to lengthen the strands that interact with each other.
We remark that several studies have claimed that the central hydrophobic core composed of the
M1 segment has a strong preference to form β strands and is highly amyloidogenic, 46–48 and a
fluorescence study has shown that the C2 segment composed of residues 37 -42 exhibits strong
fibrillation effect by stabilizing β -hairpin structures. 49 Hence, while due to differences in
simulation protocol, secondary structure determining method, and using different starting
structures and force fields the frequencies of strands M1 and C1 in our study are higher than in
an earlier computational study (where these strands were observed with frequencies of ~6-8% and
~8-14%, respectively),50 the increase in both the frequency and lifetime of β -strands in presence
of FI10 still supports our hypothesis that the viral protein fragment facilitates Aβ1-42 aggregation.
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Table 3. Frequency and life times of the strandness of the segments 10YEVHH14 (N1),
16KLVFFAEDV24 (M1), 30(AIIGLMV)36 (C1) and 37GGVVIA42 (C2) in all considered
clusters, and averaged over all configurations sampled in the final 2 μs of each trajectory. Values
are rounded to the closest integer. Standard deviation is given within the brackets.
Segment
N1 M1 C1 C2
Frequency
%
Lifetime
(ps)
Frequency
%
Lifetime
(ps)
Frequency
%
Lifetime
(ps)
Frequency
%
Lifetime
(ps)
Control 0(0) 104
(139) 44 (36) 592 (169) 29 (22) 541 (144) 31 (28) 539 (66)
with FI10 14 (17) 347
(402) 55 (44) 1214
(1403) 35 (56) 1188
(1671) 31 (29) 553 (212)
Clusters
RC1_C1 0 50 37 266 14 151 36 267
RC1_C2 1 50 88 231 36 157 86 228
RC2_C1 0 0 85 527 81 605 80 427
RC2_C2 0 0 66 747 0 0 11 470
RC2_C3 0 0 88 415 74 308 86 411
RC2_C4 0 0 86 298 44 208 84 305
RC3_C1 0 0 1 123 1 155 8 384
RC3_C2 0 50 2 63 1 75 0 0
RF1_C1 52 235 62 406 8 671 74 389
RF1_C2 15 164 66 308 19 357 69 340
RF1_C3 65 337 76 996 0 0 80 902
RF1_C4 33 165 55 226 0 0 71 236
RF1_C5 3 142 0 0 0 0 73 707
RF1_C6 23 128 57 182 0 0 63 177
RF2_C1 0 0 23 154 0 100 23 154
RF2_C2 0 0 0 0 0 0 0 0
RF2_C3 0 0 49 458 0 0 38 388
RF3_C1 6 307 100 1546 100 1555 9 330
RF3_C2 0 0 99 2276 100 2786 1 80
RF3_C3 38 380 100 346 100 346 40 363
RF3_C4 0 0 100 3408 100 3882 0 0
RF3_C5 7 157 100 562 100 562 21 258
What keeps the strands connected and stabilized ? In Table 4 we list the average number of
hydrophobic contacts between the segments when in strand-like conformation, and compare it with
corresponding numbers for arbitrary residues. On average, about 30 (8) such contacts are found
over the whole trajectory in the control simulations . The maximum of possible contacts is 276
(24*23/2), i.e., the density of hydrophobic contacts is on average 0.11. On the other hand, if M1
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and C1 are in a strand conformation, there are about ten (of 42 possible) hydrophobic contacts
between the two strands, corresponding to a density of 10/ 42 i.e., 0. 24. Hence, hydrophobic
contacts between residues in these two segments are found 2.2 times more frequently than on
average. If M1 and C2 are in a strand conformation one finds on average 16 of 36 possible
hydrophobic contacts between the two segments, leading to a dens ity of around 0.44, i.e., such
contacts are found 4 times more frequently than on average. In the simulations where FI10 interacts
with the Aβ 1-42 monomer, we observe on average 27 (5) contacts between the 24 hydrophobic
residues, i.e., the density of such contacts is similar to ones in the control simulations. However,
we find now almost the double number (»19) of contacts between M1 and C1, and about half the
number (»9) of contacts between M1 and C2. Added to these numbers are one additional
hydrophobic contact between the segments N1 and C1 and three contact s between segments N1
and C2. Th is increase in the number of hydrophobic contacts and the relative shift between the
segments agrees with our previous observation that presence of FI10 lengthen the strands that
interact with each other.
Table 4. Number of hydrophobic contacts between residues in the Aβ1-42 monomer, for the full
chain, and between the segments N1, M1, C1, and C2 when in a strand conformation. Data are
averaged over all configurations sampled in the final 2.00 μs of each trajectory. Standard deviation
is given within the brackets.
Simulation
Average number of hydrophobic contacts
Full chain N1-C1 N1-C2 M1-C1 M1-C2
Control 30 (8) 0.2 (4) 0 (0) 10 (3) 16 (1)
FI10 27 (5) 0.9 (3) 3 (4) 19 (3) 9 (4)
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We remark that we did not observe hydrogen bonds between segments N1 or M1 and C1 and C2
in our simulations, independent of presence or absence of the viral protein fragment FI10 .
However, t he transient β-sheets and strands seen in our monomer simulations may also be
stabilized by salt bridges between charged residues. Once formed, these salt bridges would restrict
the conformational space of the segments N1, M1, C1 and C2, encouraging in this way formation
of the observed secondary structure elements, and that process may be modulated by presence of
the viral spike protein fragment FI10. We have therefore also looked into the effect of FI10 on salt
bridge formation and the correlation between observed salt bridges and the transient β-sheets and
strands seen in our monomer simulations. When restricting ourselves to salt bridges that a ppear
with more than 5% in at least one trajectory, we find three such salt bridges: E11-H13, E22-K28
and D23-K28. The average frequency and life times of these salt bridges are listed in Table 5.
Our data in Table 3 and Supplemental Table ST1 indicate that the four observed strands form
transiently even in the control, but that the frequency of strands and their pairing is higher in
presence of FI10. On the other hand, when considering the frequencies of the three salt bridges
calculated for each system ov er all three trajectories and listed in Table 5, we see that the salt
bridge E22-K28 is more common in the control than in presence of FI10, while the opposite is true
for the salt bridge between E11 and H13, and the one between D23 and K28. The reduced
frequency of the salt bridge E22 -K28 and its halved lifetime in presence of FI10 correlates with
the binding pattern of the of the viral protein fragment to the Aβ1-42 monomer in Figure 3, i.e., it
appears that binding of FI10 to the monomers interferes with formation of the salt bridge. We also
note that while the standard deviations in our frequencies are large, even in the control seems the
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existence of this salt bridge to be anticorrelated with the strandness in the segments N1, M1, C1
and C2.
Table 5. Average frequency of appearance of salt bridges and lifetime of salt bridges. Shown are
values calculated over all respective trajectories, and such restricted to cases where the segments
10YEVHH14 (N1), 16KLVFFAEDV24 (M1), 30(AIIGLMV)36 (C1) and 37GGVVIA42 (C2) are
in a strand conformation. Data are averaged over all configurations sampled in the final 2.00 μs of
each trajectory. Standard deviation is given within the brackets. Values are rounded to the closest
integer.
Frequency %
E11-H13 E22-K28 D23-K28
Control FI10 Control FI10 Control FI10
Full chain 4 (3) 16 (12) 23 (25) 6 (5) 4 (4) 29 (38)
N1 0 (0) 30 (15) 29 (26) 2 (1) 1 (2) 24 (28)
M1 5 (3) 16 (12) 10 (12) 3 (3) 2 (2) 47 (32)
C1 7 (3) 8 (6) 8 (9) 1 (3) 3 (3) 68 (17)
C2 5 (2) 24 (11) 4 (13) 7 (4) 0 (0) 16 (23)
N1∩C1 0 (0) 7 (12) 16 (37) 2 (3) 0 (0) 63 (28)
N1∩C2 0 (0) 29 (15) 15 (35) 2 (1) 2 (4) 24 (28)
M1∩C1 6 (3) 8 (4) 8 (10) 1 (3) 3 (3) 70 (13)
M1∩C2 5 (2) 26 (12) 1 (1) 6 (3) 0 (0) 18 (25)
Life time (ps)
Full chain 105 (5) 115 (18) 614 (282) 388 (199) 754 (381) 928 (502)
N1 0 (0) 108 (20) 163 (53) 130 (14) 0 (0) 268 (159)
M1 103 (12) 103 (2) 322 (9) 128 (44) 472 (248) 789 (381)
C1 103 (7) 102 (9) 152 (167) 96 (12) 327 (107) 1062 (267)
C2 93 (21) 105 (10) 193 (40) 224 (49) 495 (251) 349 (94)
N1∩C1 0 (0) 137 (29) 8 (18) 106 (14) 0 (0) 500 (223)
N1∩C2 0 (0) 109 (22) 0 (0) 128 (15) 0 (0) 284 (177)
M1∩C1 96 (8) 103 (3) 157 (165) 94 (6) 312 (118) 1060 (192)
M1∩C2 97 (6) 106 (10) 181 (33) 165 (37) 514 (242) 345 (101)
On the other hand, frequency and lifetime of the D23 -K28 salt bridge are not only higher in
presence of FI10 than in the control, but also larger when the sheets between N1 and C1 or between
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M1 and C1 are formed, and similar for the sheets between N1and C2 and between M1 and C2.
These results are consistent with many experimental and theoretical studies showing that the
intramolecular D23-K28 salt bridge facilitates the oligomer stability and fibrilization process of
Aβ1-40 and Aβ1-42 peptides.50–54 Hence, the enhanced lifetime and frequency of D23 -K28 salt
bridge indicates that presence of FI10 could facilitate the aggregation of Aβ1-42 monomers by
encouraging formation or stabilizing this salt bridge. Note, however, that the probability of finding
the salt bridge D23 -K28 is higher under the condition that both N1 and C1 ( or M1 and C1) are
formed than for the condition that N1 or M1 are formed independently of whether C1 forms a
strand. This indicates that presence of this salt bridge depends on formation of a sheet between the
segments N1 and C1, or between segments M1 and C1, i.e., the salt bridge D23 -K28 is formed
after the sheet between segments M1and C1, not causing it. Note also that the sheet between
segments M1 and C1 is found in control simulations with a probability of 18% and a life time of
750ps, while the corresponding frequency in presence of FI10 is 34% with a lifetime of 1000ps.
In presence of the salt bridge D23-K28 increase frequency and life time in the control simulations
to 29% and 750ps, while in the FI10 simulations the life time stays unchanged and the frequency
increases to about 82%, see Supplemental Table ST2. Hence, it appears that the sheet formation
is not caused by the D23-K28 salt bridge but rather by direct interaction with the viral fragment or
induced hydrophobic contacts.
A similar picture is seen for the salt bridge E11-H13 which appears in the control simulations with
about 4%, but in presence of FI10 with around 16%, see Table 5. In the presence of FI10 increases
this frequency to about 30% if the strand N1 is formed, a value that is similar to the one in presence
of sheets between segments N1and C2 or M1 and C2. Note that little differences are seen in the
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lifetimes of the salt bridge, neither changing with presence of FI10 nor depending on the presence
of strands. Considering the opposite relationship, i.e., the frequency of strandness in the segments
as a function of presence of the S11 -H13 salt bridge ( Supplementary Table ST 2), we see that
even in the control presence of the salt bridge increase the strandness of the segments M1 leading
to a higher frequency for the sheets between M1 and C1 or M1 and C2. Correspondingly, we see
in presence of FI10 that exi stence of the E11 -H13 salt bride implies a higher frequency for the
sheets between segments N1 and C2, and M1 and C2. Hence, formation of the N1 strand is likely
resulting from the binding of FI10 to residues Y10 to F20 (segment N1 and parts of M1) that also
increase the probability to form the E11 -H13 salt bridge. Once this salt bridge is formed, it leads
to the observed pattern of residues 10-20 interacting with residues 30-40. Hence, unlike for the
D23-K28 salt bridge, we find that presence of FI10 increases the frequency of the E11-H13 salt
bridge which in turn then eases interaction between the N-terminal and C-terminal segments.
Fibril simulations
Aβ1-42 amyloids form by association of monomers, but the propensity of amyloids does not only
depend on the ensemble of monomers (containing more or less of aggregation -prone
conformations) but also on the stability of the final product of these associations, th e
experimentally observed fibrils. Hence, viral protein fragments can enhance Aβ-amyloid
formation both by shifting the monomer ensemble toward more aggregation prone conformations
and by altering the stability of the fibrils. In previous work we have show n such stabilization by
the FI10 fragment for αS fibrils, and found that the effect is differential, i.e., depends on the
specific fibril structure.13 Aβ-fibrils are characterized by a large polymorphism with the structural
differences correlating with the severity of disease symptoms.20,55 Hence, differential stabilization
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of Aβ1-42-fibrils could potentially hasten the outbreak and/or pathogenesis of Alzheimer's disease.
For this reason, we have considered in this work also the effect of FI10 fragments on two distinct
fibril models. The first one, having the PDB-ID 7Q4B56, is derived from the brains of deceased
Alzheimer disease patients, while the second one (with PDB-ID 5KK357) is a synthetic fibril, i.e.,
the aggregation happened in vitro and not the brain environment. Choice of the two models
therefore allows us to probe whether FI10 alters the stability of Aβ1-42-fibrils, and whether this
effect depends on the fibril structure and therefore may modulate the pathogenesis of Alzheimer's
disease. Cartoons of the two fibril models are a shown in Figure 1e-1f.
Patient-derived fibrils of type 1, the ones considered in this study, are present in the brains of
sporadic Alzheimer’s disease patients, while the type 2 fibrils (not discussed in this study) are
found in the brains of familial Alzheimer’s disease patients. 56 The fibril is composed of two S -
shaped protofilaments which each contain five β-strands per chain. The protofibrils bind through
hydrophobic interactions involving the side chains of L34, V36, V39, I41 residues of S -shaped
domain and Y10, V12, Q15, and L17 of N terminal arm. 56 The synthetic fibril model considered
in this study is also composed of two S-shaped protofibril that each contains in every chain four
β-strands between residues 16 and 42. 57 Some hydrophobic interactions including F19 -I32, F19-
A30, F20-A24, V24-G29, G29-I41, I31-V36, and G33 -V36 play a vital role in determining the
fold of monomer structure in the synthetic fibril. Intermolecular interactions L17-M35 and Q15-
M35 have been reported as important interactions between the two protofibrils.57
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Figure 7. Root-mean-square deviation (RMSD) of the fibril conformations for the patient-derived
fibril 7Q4B (a) and the synthetic fibril 5KK3 (b) to the respective fibril model (the start
configuration) as function of time. Values for the control are drawn in black and the one from
simulations with FI10 present in red. The insets show the chain RMSD, i.e., where the RMSD is
calculated separately for each, and averaged over all ten chains of the system.
We start our investigation by considering for each system the root-mean-square deviation (RMSD)
to the respective fibril conformation as function of time. This quantity is calculated for backbone
atoms only ignoring flexible N -terminal residues (the first eight residues of the patient-derived
fibril and the first ten residues of synthetic fibril), and in Figure 7a-7b we show for each system
its average over three trajectories. This quantity describes the overall change in the fibril structure
along the trajectories, while the change in the structure of individual chains is described by the
chain RMSD, which is the average over the RMSD calculated separately for each chain. We show
the chain RMSD in the insets. For both fibril models we observe that presence of FI10 leads to a
slightly higher chain rmsd, i.e., a de-stabilization of the chain conformations. However, the effect
of FI10 on the overall RMSD depends strongly on the fibril model. Little effect is seen for the
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synthetic fibril (5KK3) while the patient-derived fibril (7Q4B) is de-stabilized in presence of FI10.
A consequence of these changes are seen in the solvent accessible surface area (SASA) also shown
in Table 6, which in the patient-derived fibril only marginal changes with time and is not affected
by presence of FI10, but is in the synthetic fibril with 264 (5) nm2 about 23 nm2 larger in presence
of FI10 than in the control ( 241 (13) nm2), with 13 nm2 resulting from addition of hydrophobic
surface area. We expect that the differences in the overall RMSD and the SASA indicate different
re-arrangement of the Aβ1-42 in the two fibril geometries over the course of the trajectories caused
by the presence of FI10 peptides. As both models are built out of two protofibrils, each made of
five layers, changes in the arrangement of the chains can come from loosing or tightening of the
layers in each protofibril, or from loosening or tightening of the two protofibrils. The first e ffect
can be quantified by the change in the number of stacking contacts between layers, while the
second effect described by the change of packing contacts between the protofibrils.
In Figure 8a-8b we show the time evolution of the number of staggering contacts (averaged over
all three trajectories) . Note that we do not consider contacts involving the flexible N -terminal
segment added by us and missing in the fibril models. For an easier comparison we have
normalized the plots such that it is unity at 0.2 ns - a value chosen to account for steric clashes at
t=0 ns. In both the control and in presence of FI10 we see little change along the trajectories for
the patient-derived fibril, and a decrease of in absolute numbers of about ten contacts in the control
for the synthetic fibril. When the values are averaged over the final 50 ns, we find for both fibrils
similar differences between control and FI10 simulations, indicating that conformations in the
control simulations are stabilized by about 2-3 staggering contacts more than in the simulations
where FI10 is present, see Table 6. Note that the contacts seen at the end of the trajectories are not
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necessarily the ones present in the respective fibril models. The number of these native stagging
contacts decreases in all cases, see Figure 8c-8d, but stays for both fibril models slightly higher
in presence of FI10, see also the averages over the last 50 ns displayed in Table 6. Hence, presence
of FI10 seems to stabilize the original binding between the layers in both the patient-derived fibril
and in the synthetic fibril. However, newly formed contacts only partially compensate for the loss
of native st aggering contacts, and fewer are formed in presence of FI10, leading in both fibril
models to an effective weakening through presence of FI10 by about 2-3 contacts.
Figure 8. Average number of normalized stacking contacts between residues in neighboring layers
of the fibril conformations for the patient-derived fibril 7Q4B (a) and the synthetic fibril 5KK3 (b)
as function of time. Values for the control are drawn in black and the one from simulations with
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FI10 present in red. In (c) and (d) we show the corresponding figures for native contacts, that is
contacts which are seen in the respective fibril models.
Table 6. Average number of total contacts, intrachain contacts, staggering contacts and packing
contacts, and solvent accessible surface area (SASA), calculated over the last 50 ns of all three
trajectories for each system. The initial values ( measured at 0 .2 ns to account for steric clashes
observed at t=0)) for each quantity are also given. Note that we do not consider contacts involving
the N-terminal residues as the N -terminal segment is flexible (see main text for details). Native
contacts are such also seen in the respective fibril models and long-living packing contacts defined
in the main text.
Patient derived fibril (7Q4B) Synthetic fibril (5KK3)
Control FI10 Control FI10
Initial Last 50
ns
Initial Last 50
ns
Initial Last 50
ns
Initial Last 50
ns
Intrachain
contacts 16.5 (4) 16.9 (2) 15 (1) 17.0 (3) 13.9 (5) 14 (1) 13.2 (7) 12 (1)
Stacking
contacts 170 (2) 169 (1) 168 (2) 166 (1) 148 (6) 139 (7) 143 (2) 142 (5)
Native
Stacking
Contacts
158 (1) 146 (1) 150 (0) 140 (1) 129 (4) 100 (7) 122 (3) 98 (8)
Packing
contacts 99 (6) 120(9) 89 (5) 119 (3) 108(5) 178 (17) 106 (9) 140(23)
Native
Packing
Contacts
86 (7) 71(3) 69 (3) 55 (3) 87 (10) 47 (3) 80 (5) 46(12)
Long-living
Packing
Contacts
99(6) 110(9) 89(5) 98(6) 108(5) 108(18) 106(9) 98(12)
Packing
Distance
(Å)
11.7 (2) 11.3 (1) 12.0 (1) 11.5 (3) 9.3 (2) 9.6 (7) 9.8 (2) 9.2(4)
SASA
(nm2) 203 (4) 205 (2) 210 (1) 212 (2) 284 (7) 241 (13) 275(4) 264 (5)
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hydrophobic
SASA
(nm2)
93 (2) 94 (1) 100 (0) 98 (1) 144 (3) 120 (8) 142 (2) 133 (3)
hydrophilic
SASA
(nm2)
110 (2) 111 (2) 110 (1) 114 (2) 140 (4) 121 (5) 133 (2) 131 (2)
The situation is more diverse for the time evolution of normalized packing contacts and native
packing contacts shown in Figure 9. For the patient-derived fibril decreases the number of native
packing contacts both in the control and in presence of FI10, but is lower in presence of FI10.
However, the loss of native packing contacts is more than compensated by formation of new
packing contacts, and for the control the absolute number plateaus quickly while it grows in
presence of FI10. Final values, averaged over the last 50 ns are again shown in Table 6 indicating
that the presence of FI10 30 additional contacts are formed while onl y 21 in the control. For the
synthetic fibril we also observe a decrease in the number of native packing contacts, with the loss
similar in presence and absence of FI10. Averaged over the last 50 ns we find 178 (17) contacts in
the control simulations, but only 140 (23) contacts in presence of FI10, see Table 6. We remark
that we did not see similar differences in the number of intrachain contacts whose time evolution
is shown in Supplementary Figure SF4, and for which average values for the last 50 ns are also
listed in Table 6. Here, the numbers of intra chain contacts is for the patient-derived 7Q4B fibril
with. about 17 contacts essentially the same in presence and absence of FI10, and is only
marginally smaller in presence of FI10 (12 (1) versus 14 (1) for the control) for the synthetic 5KK3
fibril, confirming our assumption that presence of FI10 alters the arrangement of the Aβ1-42 -
chains, not their structure.
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This change in packing contacts is correlated with that in the packing distance, that is the distance
between the two protofibrils. We define packing distance as the distance between center of masses
of interfacial residues of two protofibrils. For the patient-derived fibril, we considered Y10, V12,
Q15, L17, L34, M35, V39, I41 as interfacial residues, while the residues H13, H14, Q15, K16,
G33, L34, M35, V36, G37, G38, V39 were considered as interfacial residues of synthetic fibril.
For the patient-derived fibril this packing distance decreases in the control by about 0.4 Å and 0.5
Å in presence of FI10; i.e., the two protofibril change their relative positions (and therefore the
contacts between residues) but their distance to each other is little changed and slightly more
reduced in presence of FI110. The stabilizing effect on packing by FI10 is also se en for the
synthetic fibril where the distance decreases in presence of FI10 but increases in the control.
Hence, it appears that FI10 slightly destabilize the stacking of the Aβ1-42-chains in a way that does
not depend on the specific fibril type, but has a stronger effect on the packing of protofibrils in a
way that depends on the fibril geometry.
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Figure 9. Average number of packing contacts between residues in opposite protofibrils of the
fibril conformations for the patient -derived fibril 7Q4B (a) and the synthetic fibril 5KK3 (b) as
function of time. Values for the control are drawn in black and the one from simulations with FI10
present in red. For better comparison are the value s normalized to unity for the conformation
observed at start. In (c) and (d) we show the corresponding figures for native contacts, that is
contacts which are seen in respective fibril models and the start conformations.
For the patient -derived fibril are the main packing contacts in the PDB -structures such between
V12-V39, L17-V36, L34-V36, V36-L34, V36-L17 and V39-V12, with the residues on different
proto fibrils, and contacts either with residues of the same layer or sh ifted by one layer. When
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interacting with FI10 the number of such contacts is reduced from about 44 to 41. However, these
contacts survive in both cases throughout the simulations, and the observed changes in the number
and kind of packing contacts results from re -arrangement of other packing contacts such as Q15 -
V39 or F19-V36, with new contacts often between residue s in different layers in the protofibrils,
and their number larger in presence of FI10 (23 as opposed to 14 in the control), leading to the
decrease in packing distance seen in both control and presence of FI10. On the other hand, in the
synthetic fibril are the dominating contacts L17 -M35, L34-M35, M35-L34 and M35-L17, which
however decrease from about 30 for both cases at start to 23 in the control and only 19 in presence
of FI10. Interestingly, the loss of these contacts is mostly for such contact between residues on
different layers (about 7), and is for residue pairs located on the same layer smaller than in the
control (3 as opposed to 8 in the control).
Note, that as already reported above, the total number of packing contacts increases in both
systems. However, most of these newly formed contacts are transient. This can be seen if we
measure instead of the contacts the number of pairs where the average distance between the
residues is smaller than the cut-off distance of 4.5Å used in our definition of a contact. Such pairs
correspond to long -living packing contacts, while our previous definition also accounts also for
short-live and transient contacts. At start we find for the synthetic fibril in the control 108 (5) of
such pairs, and in presence of FI10 106 (9) pairs, but in the last 50 ns 108 (18) pairs in the control
and only 98 (12) in the trajectories where FI10 is present . Hence, t he number of long-living
contacts decreases as does the number of native contacts (see above), and the newly formed non-
native contacts are therefore short-lived transitory contacts that do not lead to a decrease in the
packing distance, i.e., a stronger interaction between the two protofibrils. This is different in the
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patient-derived fibril where the number long-living packing contacts also increases for the control
simulations by about 11, and by about 9 in presence of FI10. These additional contacts lead to a
stronger interaction between the two protofibrils in the presence of FI10 , causing a reduction of
packing distance and therefore stabilizing the fibril.
The observed differences may result from the disparate binding pattern of FI10 two the two fibrils
geometries, see Figure 10. For the patient-derived fibril binds FI10 with a free energy of about -
90 (8) kJ/mol to the fibril. Figure 10a shows that binding of FI10 is preferably to the residues 15-
23 of the hydrophobic segment M1 (on average 51%) and residues 30-41 of hydrophobic segments
C1 and C2 (on average 33% to the C1 segments, with the maximum of 44 % at L34, and on average
with 20% to the C2 segment), with a binding probability of about 70% for the charged residues
K16 and E22 or D23. FI10 binds with other parts of fibril with a much lower affinity of about 7%.
On the other hand, the binding distribution is more indiscriminate for the synthetic fibril with in
general higher binding probabil ities (on average 35%), but no specific preference for a certain
segment, see Figure 10b. When looking into the binding pattern of the FI10 residues, we find that
the Aβ1-42 chains of the synthetic fibril also bind unspecific to FI10 residues (Figure 10f), but at
higher binding frequencies than seen for binding to the patient-derived fibril where in addition the
binding propensities slightly decrease from N- to C-terminal of FI10 (Figure 10e). This suggests
that while on the synthetic fibril FI10 is with a free energy of -108 (9) kJ/mol more tightly bound
than when on the patient -derived fibril, the peptide is on the synthetic fibril mobile and changes
the residues on the chains with that it interacts, while on the patient -derived fibril it sits more
localized. Hence, the lower RMSF and lower flexibility in the synthetic fibril in presence of FI10
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(Figure 10 d), while for the patient -derived fibril the interaction with FI10 leads to increased
flexibility of the not interacting chain segments, especially the N-terminus (Figure 10c).
Figure 10. The residue-wise normalized binding probability of the FI10 segment for the Aβ 1-42
chains is shown in (a) for the patient-derived fibril model 7Q4B and in (b) for the synthetic fibril
model 5KK3 , while the corresponding residue-wise mean square fluctuation (RMSF; in Å)
obtained from Aβ1-42 fibril simulations in the absence (in black) and presence (in red) of the FI10
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are shown in (c) and (d). In (e) we draw the complementary, and in (f) the binding probability
of residues in the synthetic fibril model 5KK3 to FI10 residues. Data are averaged over the final
50ns of each trajectory. Shaded regions or error bars mark the standard deviation of the averages.
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Table of Contents Figure
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