Binquan Luan1, Tien Huynh1. 1. Computational Biological Center, IBM Thomas J. Watson Research, Yorktown Heights, New York 10598, United States.
Abstract
The highly infectious SARS-CoV-2 variant B.1.351 that first emerged in South Africa with triple mutations (N501Y, K417N, and E484K) is globally worrisome. It is known that N501Y and E484K can enhance binding between the coronavirus receptor domain (RBD) and human ACE2. However, the K417N mutation appears to be unfavorable as it removes one interfacial salt bridge. Here, we show that despite the decrease in binding affinity (1.48 kcal/mol) between RBD and ACE2, the K417N mutation abolishes a buried interfacial salt bridge between the RBD and neutralizing antibody CB6. This substantially reduces their binding energy by 9.59 kcal/mol, thus facilitating the process by which the variant efficiently eludes CB6 (including many other antibodies). Our theoretical predictions agree with existing experimental findings. Harnessing the revealed molecular mechanisms makes it possible to redesign therapeutic antibodies, thus making them more efficacious.
The highly infectious SARS-CoV-2 variant B.1.351 that first emerged in South Africa with triple mutations (N501Y, K417N, and E484K) is globally worrisome. It is known that N501Y and E484K can enhance binding between the coronavirus receptor domain (RBD) and human ACE2. However, the K417N mutation appears to be unfavorable as it removes one interfacial salt bridge. Here, we show that despite the decrease in binding affinity (1.48 kcal/mol) between RBD and ACE2, the K417N mutation abolishes a buried interfacial salt bridge between the RBD and neutralizing antibody CB6. This substantially reduces their binding energy by 9.59 kcal/mol, thus facilitating the process by which the variant efficiently eludes CB6 (including many other antibodies). Our theoretical predictions agree with existing experimental findings. Harnessing the revealed molecular mechanisms makes it possible to redesign therapeutic antibodies, thus making them more efficacious.
Severe
acute respiratory syndrome coronavirus 2 (SARS-CoV-2)[1] is a positive-sense single-stranded RNA virus
that causes the ongoing coronavirus disease 2019 (COVID-19) pandemic.
Because SARS-CoV-2 is a highly transmissible and pathogenic novel
coronavirus, the global morbidity and mortality rates of COVID-19
have been quite substantial since it was first detected at the end
of 2019.[2] This has brought together researchers
from the international scientific community to combat COVID-19 with
extraordinary effort. Although we have come a long way in a short
period of time, it is still challenging to have the pandemic under
full control especially with the recent discovery of several new variants
of SARS-CoV-2, such as B.1.1.7 (or 501Y.V1) from the United Kingdom,
B.1.351 (or 501Y.V2) from South Africa, and P.1 from Brazil. With
the increased transmissibility and hence rapid spreading of these
newly identified lineages, serious concerns over whether they could
undermine the currently available vaccines or natural immunity of
people previously infected with COVID-19 have been raised.[3] Unfortunately, a recent experiment provided evidence
that variant B.1.351 eludes natural and vaccine-induced sera.[4]Experimental studies have demonstrated
that angiotensin converting
enzyme 2 (ACE2), a protein expressed on the surface of human cells
in various organs, plays a crucial role in the viral infection of
SARS-CoV-2.[5−7] As a prelude to SARS-CoV-2’s cell entry, the
receptor binding domain (RBD) of the spike glycoprotein (S-protein)[8] on the virion surface binds ACE2 on a host cell.
Therefore, the S-protein of SARS-CoV-2 becomes a primary target of
the host immune system and is used as the leading antigen for vaccine
development. Despite being detected from three different continents,
the fact that the three aforementioned SARS-CoV-2 variants share some
of the same mutations at the S-protein’s RBD suggests that
these mutations might have conferred an evolutionary advantage to
the virus. While various mutations as well as deletions outside the
RBD of S-protein are also important for the enhanced fitness (of variants)
for entering host cells, here we focus on mutations in the RBD that
harbors the binding site of ACE2 and the epitopes for neutralizing
monoclonal antibodies (mAbs).For the U.K. variant (with the
N501Y mutation on the RBD), experimental
studies have demonstrated that the reproductive number that measures
its infectiousness is approximately 0.4–0.7 higher than those
of other strains of the virus[9] and determined
recently it is unlikely to escape BNT162b2 vaccine-mediated protection.[10] Our previous work[11] showed that this mutation in the U.K. variant can increase the RBD’s
binding affinity for ACE2 but has no obvious effect on mAbs. In addition
to the N501Y mutation, the South Africa and Brazil variants also contain
the K417N and E484K mutations. Recent studies showed that the E484K
mutation not only can enhance RBD–ACE2 binding[12] but also can help the virus escape the therapeutically
relevant mAbs.[13] However, reflected in
the paucity of existing work, the significance of the K417N mutation
so far is still elusive, which prevents us from fully understanding
the infection mechanism of these new variants. As shown in Figure a, in the wild-type
RBD, K417 forms a salt bridge with D30 in ACE2 (human). Consistently,
animals such as pangolin, sheep, Siberian tiger, horseshoe bat, hamster,
cat, horse, cow, and ferret having either D30 or E30 (after sequence
alignment) in their ACE2 are susceptible to SARS-CoV-2, while other
animals such as chicken (A30), rat (N30), and duck (A30) are not.[14] This suggests that the salt bridge formed by
K417 (in the RBD) and D30/E30 (in ACE2) is important for RBD–ACE2
recognition. Thus, the K417N mutation resulting in the abolishment
of this favorable interfacial interaction (i.e., reducing the RBD–ACE2
binding affinity as verified in experiment[12]) is highly unintuitive. Here, we are motivated to investigate the
molecular mechanism of the K417N mutation, to unveil its key benefits
for the virus to evolve through this path.
Figure 1
MD simulation systems.
(a) Illustration of the salt bridge formed
by D30 in ACE2 and K417 in the RBD at the interface. (b) Simulation
setup for the RBD–ACE2 complex. (c) Simulation setup for the
RBD–CB6 complex. Proteins are shown in cartoon representation,
with RBD colored gray, ACE2 colored blue, and the heavy (VH and CH) and light (VL and CL) chains
of the CB6’s Fab colored purple and green, respectively. Na+ and Cl– are shown as yellow and cyan spheres,
respectively. Water is shown transparently.
MD simulation systems.
(a) Illustration of the salt bridge formed
by D30 in ACE2 and K417 in the RBD at the interface. (b) Simulation
setup for the RBD–ACE2 complex. (c) Simulation setup for the
RBD–CB6 complex. Proteins are shown in cartoon representation,
with RBD colored gray, ACE2 colored blue, and the heavy (VH and CH) and light (VL and CL) chains
of the CB6’s Fab colored purple and green, respectively. Na+ and Cl– are shown as yellow and cyan spheres,
respectively. Water is shown transparently.Complementary to experimental efforts, all-atom molecular dynamics
(MD) simulations with sophisticated and well-calibrated force fields
have been widely used to image nanoscale events and investigate the
molecular mechanism of proteins.[15−18] In this work, we conducted a
computational analysis of the K417N mutation in the South Africa variant
using MD simulations with explicit solvent, aiming to gain a better
understanding of its underlying molecular mechanism. In addition to
the RBD–ACE2 interaction, we also investigated the RBD’s
interaction with mAbs. In particular, we explored the mAb CB6 that
recognizes an epitope site in the RBD overlapping the binding site
of ACE2 and investigated its binding competition with ACE2 over RBD.
Our results may help provide invaluable insights into why K417N has
been selected during viral evolution and inspire a better design of
more efficacious mAbs for treating COVID-19 patients infected with
the new SARS-CoV-2 variants.
Results
Figure b illustrates
the simulation system for modeling the interaction between ACE2 and
RBD (see the Experimental Section for detailed
simulation protocols). Briefly, taken from the crystallographic structure
(PDB entry 6M0J), the structure of the RBD–ACE2 complex was solvated in a
0.15 M NaCl electrolyte. Similarly, as shown in Figure c, we built the simulation system for the
complex of RBD and one Fab of human antibody CB6 with their atomic
coordinates taken from the crystallographic structure (PDB entry 7C01). Hereafter, we
simply refer to the Fab as CB6.During the ∼350 ns MD
simulation, the RBD–ACE2 complex
starting from the structure in the crystal environment was equilibrated
in the physiology-like environment (a 0.15 M electrolyte). Figure S1 shows the root-mean-square deviation
(RMSD) of protein-backbone atoms in the RBD bound with either ACE2
or CB6. After ∼40 ns, the RMSD values saturated at around 1.7
Å for the RBD bound on CB6 and 1.5 Å for the RBD bound on
ACE2. These small RMSD values suggest that the secondary structure
of the modeled RBD (with four internal disulfide bonds) was very stable
and properly equilibrated. We also calculated the interfacial contact
areas for the complexes using the solvent accessible surface area
method.[19] On average, the contact area
is ∼8.6 nm2 between the RBD and ACE2 while that
for the RBD–CB6 contact is larger and is ∼10.3 nm2, as shown in Figure a. During the entire simulation time, values of contact areas
fluctuated around the mean, indicating that these two complex structures
were stable and equilibrated in the electrolyte.
Figure 2
MD simulations of both
RBD–ACE2 and RBD–CB6 complexes.
(a) Time-dependent contact area S in simulated RBD–ACE2
(blue) and RBD–CB6 (orange) complexes. (b) Time-dependent numbers
of heavy (or non-hydrogen) atoms in ACE2 (blue) or CB6 (orange) that
are within 5 Å of K417 in the RBD. (c) Illustration of the salt
bridge formed by K417 in the RBD and D30 in ACE2 that is present on
the complex’s surface (i.e., being exposed to water). (d) Illustration
of the salt bridge formed by K417 in the RBD and D104 in CB6 (VH) that is buried inside the complex. The RBD, ACE2, VH, and VL of CB6 are shown in molecular surface
representation. VL of CB6 is transparent to allow viewing
of the buried salt bridge.
MD simulations of both
RBD–ACE2 and RBD–CB6 complexes.
(a) Time-dependent contact area S in simulated RBD–ACE2
(blue) and RBD–CB6 (orange) complexes. (b) Time-dependent numbers
of heavy (or non-hydrogen) atoms in ACE2 (blue) or CB6 (orange) that
are within 5 Å of K417 in the RBD. (c) Illustration of the salt
bridge formed by K417 in the RBD and D30 in ACE2 that is present on
the complex’s surface (i.e., being exposed to water). (d) Illustration
of the salt bridge formed by K417 in the RBD and D104 in CB6 (VH) that is buried inside the complex. The RBD, ACE2, VH, and VL of CB6 are shown in molecular surface
representation. VL of CB6 is transparent to allow viewing
of the buried salt bridge.By examining the simulation trajectories, we found that K417 indeed
played an important role in stabilizing the RBD–ACE2 and RBD–CB6
complexes. In Figure b, we highlight the time-dependent number N of heavy
(or non-hydrogen) atoms in ACE2 or CB6 that were within 5 Å of
K417 in the RBD. Notably, K417 in RBD interacts with many more atoms
in CB6 than in ACE2. The average saturated number N for the RBD–CB6 complex is ∼23 atoms (orange line
in Figure b), while
that for the RBD–ACE2 complex is only ∼6 atoms (blue
line in Figure b).
Additionally, the number N for the RBD–ACE2
complex fluctuates much more than that for the RBD–CB6 complex,
which indicates that the interaction in the latter complex is more
stable. Due to the K417–D104 salt bridge, K417 in the RBD stably
contacted nearby residues (including D104) in the heavy chain. However,
the distance between K417 in the RBD and residues (such as T94 and
P95) in the light chain increased slightly to accommodate water molecules
that entered into the hydrophilic interfacial area, resulting in a
decrease in the contact number N at the beginning
of the MD simulation (see the orange line in Figure b).Among those residues (in ACE2 or
CB6) in contact with K417 in the
RBD, there are two key salt bridges. One is formed by K417 in the
RBD and D30 in ACE2[18] (as shown in Figure a). We illustrate
in Figure c that this
salt bridge is on the surface of the RBD–ACE2 complex. Thus,
this salt bridge is exposed to water and constantly disrupted by polar
water molecules, accounting for the observed fluctuations in N (blue line in Figure b). The other one is formed by K417 in the RBD and
D104 in CB6[20] as shown in Figure d. Remarkably, this salt bridge
is buried among the heterotrimer composed of the RBD and two variable
domains of heavy chain VH and light chain VL of CB6. This salt bridge buried inside the protein complex was very
stable during the simulation, consistent with the nearly constant
number N in Figure b (orange line).To further demonstrate the stability
of these two salt bridges,
we define distance D between the NZ atom in the lysine
(K) and the CG atom in the aspartate (D), as shown in the inset of Figure a. The histograms
in Figure a show the
probability distributions of distance D. For the
salt bridge in the RBD–CB6 complex, the most probable distance
in the single-peak distribution is ∼3.2 Å, corroborating
the idea that this buried salt bridge is very stable. For the salt
bridge in the RBD–ACE2 complex, the most probable distance
is in the first peak and is ∼3.5 Å. This larger distance
(as compared with that for the buried salt bridge) reflects the weakened
electrostatic interaction inside the water-exposed salt bridge. Furthermore,
an additional peak at larger distances (∼5.5 Å) is an
indication of a state of the broken salt bridge. Indeed, we observed
in the simulation trajectory that this salt bridge is susceptible
to polar water molecules and can break and re-form from time to time.
Figure 3
Characterizing
salt bridges at the RBD–CB6 and RBD–ACE2
interfaces. (a) Distribution of distance D between
a pair of residues in a salt bridge, at the RBD–CB6 interface
(orange) and at the RBD–ACE2 interface (blue). The inset shows
the definition of distance D. (b–e) Thermal
dynamic cycle to obtain the binding free energy change induced by
the K417N mutation. The mutations in the bound and free states are
shown in panels b and c and panels d and e, respectively.
Characterizing
salt bridges at the RBD–CB6 and RBD–ACE2
interfaces. (a) Distribution of distance D between
a pair of residues in a salt bridge, at the RBD–CB6 interface
(orange) and at the RBD–ACE2 interface (blue). The inset shows
the definition of distance D. (b–e) Thermal
dynamic cycle to obtain the binding free energy change induced by
the K417N mutation. The mutations in the bound and free states are
shown in panels b and c and panels d and e, respectively.Therefore, in the wild-type RBD, K417 interacts more strongly
with
D104 in CB6 than with D30 in ACE2. The calculations of the binding
free energy change induced by the K417N mutation were accomplished
using the free energy perturbation (FEP) method.[21] As required in FEP calculations, we performed 177 ns MD
simulations of the RBD in a 0.15 M NaCl electrolyte (a free state),
as shown in Figure S2. With protein structures
for both bound (or complex) and free states in respective MD simulations,
we employed the FEP alchemy method to calculate the binding free energy
difference for the K417N mutation on the RBD, using the thermodynamic
cycle shown in panels b–e of Figure . By definition, binding free energy changes
for the RBD with either ACE2 or CB6 (due to the K417N mutation) can
be obtained as ΔΔG = ΔG2 – ΔG1 (see Figure ). In practice, it
is not easy to directly calculate ΔG1 and ΔG2, which can be circumvented by computing ΔGA and ΔGB instead using the thermodynamic cycle (see Figure ). Therefore, ΔΔG = ΔGA – ΔGB. Through the ensemble average,[21]ΔGA and ΔGB can be calculated theoretically (see the Experimental Section) as , where kB is
the Boltzmann constant, T is the temperature, and Hi and Hf are the
Hamiltonians for the initial (i) stage with K417 (see Figure b,d) and the final (f) stage
with N417 (see Figure c,e), respectively.The results from the FEP calculations are
summarized in Table . In the free state
(Figure d,e), the
K417N mutation yielded a free energy change ΔGB of −32.08 kcal/mol. In the bound state for the
RBD–CB6 complex (Figure b,c), free energy change ΔGA = −22.49 kcal/mol. Altogether, the obtained value of ΔΔG is 9.59 kcal/mol, suggesting that the K417N
mutation significantly reduced the binding affinity between the RBD
and CB6. Similarly, for the RBD–ACE2 complex, we have a ΔGA of −30.60 kcal/mol, and consequently, ΔΔG is 1.48 kcal/mol. Thus, the K417N mutation
also reduced the binding affinity between the RBD and ACE2, but the
reduction is ∼6.5 times less than that between the RBD and
CB6. Previously, it was demonstrated in an experiment that the K417N
mutation weakened the binding affinity between the RBD and ACE2,[12] which is consistent with our simulation results.
The noticeably small errors listed in Table manifest the accuracy and convergence afforded
by the FEP methodology.
Table 1
Values of ΔΔG for the K417N Mutation for the Binding of
the RBD to ACE2 and CB6
(mAb)
ΔGA,B (kcal/mol)
ΔΔG (kcal/mol)
RBD only
–32.08 ± 0.24
–
RBD–ACE2
–30.60 ± 0.33
1.48 ± 0.41
RBD–CB6
–22.49 ± 0.20
9.59 ± 0.31
The free energy loss due
to the K417N mutation is mainly caused
by the change in electrostatic energy. Dielectric constant εp inside a protein is approximately 4,[22] while dielectric constant εw of water is ∼90
for the TIP3P model.[23] If we approximate
the protein–water interface with a planar surface separating
two dielectric materials (εp and εw), the effective dielectric constant on the interface can be calculated
as (εp + εw)/2, from a simple continuum
electrostatics calculation. Thus, the ratio γ of electrostatic
energy changes for salt bridges on the protein surface and in water
can be roughly estimated as (εp + εw)/2εw ∼ 11.8 (larger than our simulation
result γ = 6.5). However, the more realistic explicit model
with atomic details[24] predicts that the
average dielectric constant on the protein–water interface
is approximately 20–30, yielding γ values of ∼5–7.5,
which are in excellent agreement with our numerical result.More importantly, the phenomenon of weakening the binding affinity
of the RBD–CB6 complex observed in the K417N mutation is not
unique. After comparison of some crystal structures for the complex
of the RBD (of the SARS-CoV-2’s spike protein) and human antibodies,
surprisingly we noticed that K417 in the RBD can form a buried salt
bridge with either a glutamate or an aspartate in four other human
antibodies as highlighted in IGHV-53 (Figure a), C1AB3 (Figure b), BD-236 (Figure c), and CC12.1 (Figure d). Thus, it is likely that all of these
antibodies may not be able to neutralize the 501Y.V2 variant. It is
worth noting that during the preparation of this paper, two experimental
preprints posted on bioRxiv demonstrating that the South Africa variant
can evade human antibodies CB6 (Figure c, also known as LyCoV016) and CC12.1 (Figure d) that are known to neutralize
wild-type SARS-CoV-2.[13,25] These experimental results further
confirm our predictions. Because K417 in RBD can form a buried salt
bridge with a glutamate/aspartate in a class of human antibodies,
we speculate that K417 is the Achilles’ heel of the virus and
can be easily targeted by many human antibodies. Therefore, the K417N
mutation could be evidence of viral adaptation to the human immune
system or natural selection under the “pressure” of
human neutralizing mAbs.
Figure 4
Illustrations of various salt bridges buried
at the RBD–antibody
interfaces. (a) Neutralizing antibody IGHV-53 (PDB entry 7JMO) for SARS-CoV-2’s
RBD. (b) Neutralizing antibody C1A-B3 (PDB entry 7B3O) for SARS-CoV-2’s
RBD. (c) Neutralizing antibody BD-236 (PDB entry 7CHB) for SARS-CoV-2’s
RBD. (d) Neutralizing antibody CC12.1 (PDB entry 6XC2) for SARS-CoV-2’s
RBD. The RBD, VL, and VH of various antibodies
are colored gray, green, and purple, respectively. Residues forming
a salt bridge at the RBD–antibody interface are shown as sticks.
VL and VH of various antibodies are shown transparently
to allow viewing of buried salt bridges.
Illustrations of various salt bridges buried
at the RBD–antibody
interfaces. (a) Neutralizing antibody IGHV-53 (PDB entry 7JMO) for SARS-CoV-2’s
RBD. (b) Neutralizing antibody C1A-B3 (PDB entry 7B3O) for SARS-CoV-2’s
RBD. (c) Neutralizing antibody BD-236 (PDB entry 7CHB) for SARS-CoV-2’s
RBD. (d) Neutralizing antibody CC12.1 (PDB entry 6XC2) for SARS-CoV-2’s
RBD. The RBD, VL, and VH of various antibodies
are colored gray, green, and purple, respectively. Residues forming
a salt bridge at the RBD–antibody interface are shown as sticks.
VL and VH of various antibodies are shown transparently
to allow viewing of buried salt bridges.
Discussion
and Conclusions
Although it is counterintuitive to learn
that the K417N mutation
actually decreases the RBD’s binding affinity with ACE2 by
1.48 kcal/mol, it is in fact beneficial for RBD to escape human antibody
CB6 by dramatically reducing the binding affinity by 9.59 kcal/mol.
Because of the loss of binding affinity, the variant with this single
mutation is less competitive than the wild-type SARS-CoV-2 virus,
in terms of the ability to enter host cells. So far, there is no evidence
that this particular mutation occurs alone in any known variants of
SARS-CoV-2. In the South Africa variant (501Y.V2), actually there
are two more mutations, N501Y and E484K. To explore their contributions,
we carried out MD simulation for the RBD–ACE2 complex with
all three mutations (K417N, N501Y, and E484K), as shown in Figure .
Figure 5
MD simulation of the
RBD–ACE2 complex with the N501Y, K417N,
and E484K mutations in the RBD. (a) Simulation system. ACE2 (blue)
and the RBD (gray) are shown in cartoon representation. The glycosylated
residues are not shown. Na+ and Cl– ions
are shown as yellow and cyan spheres, respectively. Water is shown
transparently. (b) Equilibrated atomic coordinations around the three
mutated residues. Protein residues are shown in stick representation.
(c) Time-dependent distance D between E75 in ACE2
and K484 in the RBD. D is defined as the distance
between the CD atom in E75 and the NZ atom in K484.
MD simulation of the
RBD–ACE2 complex with the N501Y, K417N,
and E484K mutations in the RBD. (a) Simulation system. ACE2 (blue)
and the RBD (gray) are shown in cartoon representation. The glycosylated
residues are not shown. Na+ and Cl– ions
are shown as yellow and cyan spheres, respectively. Water is shown
transparently. (b) Equilibrated atomic coordinations around the three
mutated residues. Protein residues are shown in stick representation.
(c) Time-dependent distance D between E75 in ACE2
and K484 in the RBD. D is defined as the distance
between the CD atom in E75 and the NZ atom in K484.During the entire 340 ns MD simulation with the triple mutations
(Figure a), Y501 interacted
stably with residues Y41 and K353 in ACE2 (see Figure b and Movie S1). Namely, Y501 in the RBD formed a T-shaped contact with Y41 in
ACE2, and simultaneously, Y501 formed a hydrophobic interaction with
the alkane chain of the amphipathic K353. We did not observe any coordination
formed by N417 in the RBD and any residue in ACE2. Before the E484K
mutation, E484 forms a hydrogen bond with F490 (Figure S5), which attaches the loop (residues 477–486)
to the remainder of the RBD. After the mutation, this hydrogen bond
was abolished and the loop was able to detach from the remainder of
the RBD. Interestingly, K484 was gradually pulled toward E75 in ACE2
due to the electrostatic attraction (see Figure b and Movie S1). In Figure c, we
show that the initial distance D between K484 in
the RBD and E75 in ACE2 was on average ∼11 Å. After ∼190
ns, the distance was decreased to ∼3.5 Å, suggesting the
formation of a salt bridge. Due to the exposure to water, this salt
bridge can break and re-form frequently. This new state persisted
for the remaining 150 ns (Figure c). These dynamic interfacial interactions are illustrated
in Movie S1, as well. Therefore, the gain
from the improved RBD–ACE2 binding that resulted from both
N501Y and E484K mutations might be enough to compensate for the loss
caused by the K417N mutation and is likely to yield an interaction
with ACE2 even stronger than that of the wild-type virus.In
summary, we have shown that K417 plays an important role in
the binding between the RBD and ACE2 or CB6 by forming interfacial
salt bridges. The salt bridge between K417 in the RBD and D104 in
CB6 is buried inside the complex and is therefore much more stable
than the water-exposed one formed between K417 in the RBD and D30
in ACE2. Thus, the K417N mutation can weaken the binding of the RBD
with CB6 much more than with ACE2. More dramatically, the K417N mutation
allows the variant to escape from many human antibodies other than
CB6 by removing a salt bridge buried in the RBD–antibody interface.
Interestingly, the virus with the K417N mutation seems to sacrifice
its binding affinity for ACE2 to survive the attack of the antibodies.
In fact, after the sequence alignment, the residue in SARS-CoV corresponding
to K417 in SARS-CoV-2 is valine (V404).[26]On the contrary, a recent study has demonstrated that the
human
immune systems may also quickly respond to these new variants and
produce corresponding neutralizing antibodies that contain more somatic
hypermutation, increased potency, and resistance to RBD mutations.[27] The continued evolution of the humoral response
to recent SARS-CoV-2 variants warrants further studies. Additionally,
with the revealed mechanism underlying the K417N mutation, it is possible
to design more efficacious antibody cocktails to treat COVID-19 patients
infected with variant 501Y.V2 as well as the recently discovered variant
P.1 in Brazil.
Experimental Section
MD Simulations
We carried out all-atom MD simulations
for the bound (the RBD–ACE2 complex) and free (stand-alone
RBD) states using the NAMD2.13 package[28] running on the IBM Power Cluster. To model the RBD–ACE2 and
RBD–CB6 complexes, we first obtained the crystal structures
with PDB entries 6M0J(29) and 7C01,[30] respectively,
and then solvated them in a rectangular water box that measured ∼80
Å × ∼80 Å × ∼135 Å. Bound Zn2+ ions were included in the RBD–ACE2 complex. Na+ and Cl– were added to neutralize the entire
simulation system and set the ion concentration to 0.15 M (Figure b,c). Each built
system was first minimized for 10 ps and further equilibrated for
1000 ps in the NPT ensemble (P ∼
1 bar, and T ∼ 300 K), with atoms in the backbones
harmonically constrained (spring constant k = 1 kcal
mol–1 Å–2). The production
run was performed in the NVT ensemble, and only atoms
in the backbones of ACE2 that are far from the RBD (residues 110–290,
430–510, and 580–615 in ACE2) were constrained, preventing
the whole complex from rotating out of the water box. The similar
approach was applied in the production run for the RBD–CB6
complex, with atoms in the backbones of the CH (residues
122–218) and CL (residues 109–215) domains
constrained. We also performed MD simulation for the RBD alone in
the 0.15 M NaCl electrolyte (a free state) using the same protocol
(Figure S1).To simulate the binding
between the RBD of the South Africa variant and ACE2, we obtained
the crystal structure (PDB entry 6M0J) for the RBD–ACE2 complex and
introduced three mutations (N501Y, K417N, and E484K) when preparing
the .psf and .pdb files for the complex. We retained all glycosylations
in both the RBD and ACE2 as well as one Zn2+ bound on ACE2
resolved in the crystal structure. The complex was solvated in a water
box that measures ∼131.8 Å × ∼131.8 Å
× ∼131.8 Å; 231 Na+ and 208 Cl– ions were added to neutralize the whole system and set the ion concentration
to 0.15 M. The final simulation system (Figure a) comprises 232337 atoms.After equilibrating
the structures in bound and free states, we
carried out free energy perturbation (FEP) calculations.[21] In the perturbation method, many intermediate
stages (denoted by λ) whose Hamiltonian H(λ)
= λHf + (1 – λ)Hi are inserted between the initial and final
states to yield a high accuracy. With the softcore potential enabled,
λ in each FEP calculation for ΔGA or ΔGB varies from 0 to
1.0 (forward) in 20 perturbation windows (lasting 300 ps in each window),
yielding gradual (and progressive) annihilation and exnihilation processes
for K417 and N417, respectively. We tested the convergence of the
forward FEP runs with the backward ones and with the forward FEP runs
with a longer simulation time of 1.5 ns per window; the obtained results
are similar (Figure S3). The same approach
has been applied in our previous work in which the obtained FEP results
are consistent with experimental ones.[31] We followed our previous FEP protocol[20] to obtain the means and errors for ΔGA and ΔGB from the lowest
five energy changes among ten data in total. In Figure S4, we also show that the means and errors for ΔGA and ΔGB obtained from all ten data are similar.In FEP runs for the
K417N mutation, the net charge of the MD system
changed from 0 to −1 e (where e is the elementary charge).
It is important to have similar sizes of the simulation systems for
the free and bound states,[32,33] so that the energy
shifts from the Ewald summation approximately cancel out when calculating ΔΔG.We applied the CHARMM36m force field[34] for proteins, the TIP3P model[35,36] for water, and the
standard force field[37] for Na+, Zn2+, and Cl–. The periodic boundary
conditions (PBC) were used in all three dimensions. Long-range Coulomb
interactions were calculated using particle-mesh Ewald (PME) full
electrostatics with a grid size of ∼1 Å in each dimension.
The pairwise van der Waals (vdW) energies were calculated using a
smooth (10–12 Å) cutoff. The temperature T was maintained at 300 K by applying the Langevin thermostat,[38] while the pressure was kept constant at 1 bar
using the Nosé–Hoover method.[39] While the SETTLE algorithm[40] enabled
us to keep all bonds rigid, the simulation time step was set to 2
fs for bonded and nonbonded (including vdW, angle, improper, and dihedral)
interactions, and electric interactions were calculated every 4 fs,
with the multiple-time step algorithm.[41]
Authors: Jinal N Bhiman; Penny L Moore; Constantinos Kurt Wibmer; Frances Ayres; Tandile Hermanus; Mashudu Madzivhandila; Prudence Kgagudi; Brent Oosthuysen; Bronwen E Lambson; Tulio de Oliveira; Marion Vermeulen; Karin van der Berg; Theresa Rossouw; Michael Boswell; Veronica Ueckermann; Susan Meiring; Anne von Gottberg; Cheryl Cohen; Lynn Morris Journal: Nat Med Date: 2021-03-02 Impact factor: 53.440
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Authors: Tyler N Starr; Allison J Greaney; Sarah K Hilton; Daniel Ellis; Katharine H D Crawford; Adam S Dingens; Mary Jane Navarro; John E Bowen; M Alejandra Tortorici; Alexandra C Walls; Neil P King; David Veesler; Jesse D Bloom Journal: Cell Date: 2020-08-11 Impact factor: 41.582
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Authors: Markus Hoffmann; Hannah Kleine-Weber; Simon Schroeder; Nadine Krüger; Tanja Herrler; Sandra Erichsen; Tobias S Schiergens; Georg Herrler; Nai-Huei Wu; Andreas Nitsche; Marcel A Müller; Christian Drosten; Stefan Pöhlmann Journal: Cell Date: 2020-03-05 Impact factor: 41.582
Authors: Andreas C Chrysostomou; Bram Vrancken; George Koumbaris; George Themistokleous; Antonia Aristokleous; Christina Masia; Christina Eleftheriou; Costakis Iοannou; Dora C Stylianou; Marios Ioannides; Panagiotis Petrou; Vasilis Georgiou; Amalia Hatziyianni; Philippe Lemey; Anne-Mieke Vandamme; Philippos P Patsalis; Leondios G Kostrikis Journal: Viruses Date: 2021-06-09 Impact factor: 5.048