Anirban Polley1, Adam Orłowski1,2, Reinis Danne1, Andrey A Gurtovenko3,4, Jorge Bernardino de la Serna5, Christian Eggeling6, Simon J Davis6, Tomasz Róg1,7, Ilpo Vattulainen1,7,8. 1. Department of Physics, Tampere University of Technology , Korkeakoulunkatu 10, P.O. Box 692, FI-33101 Tampere, Finland. 2. Department of Physics and Energy, University of Limerick , Limerick V94 T9PX, Ireland. 3. Institute of Macromolecular Compounds, Russian Academy of Sciences , Bolshoi Prospect V.O. 31, St. Petersburg, 199004 Russia. 4. Faculty of Physics, St. Petersburg State University , Ulyanovskaya Strasse 3, Petrodvorets, St. Petersburg, 198504 Russia. 5. Science and Technology Facilities Council , Rutherford Appleton Laboratory, Central Laser Facility, Research Complex at Harwell, Harwell-Oxford Campus, OX11 0FA Didcot, United Kingdom. 6. MRC Human Immunology Unit, Weatherall Institute of Molecular Medicine, University of Oxford , Headley Way, OX3 9DS Oxford, United Kingdom. 7. Department of Physics, University of Helsinki , P.O. Box 64, FI-00014 Helsinki, Finland. 8. Department of Physics and Chemistry, MEMPHYS-Center for Biomembrane Physics, University of Southern Denmark , Campusvej 55, DK-5230 Odense M, Denmark.
Abstract
Proteins embedded in the plasma membrane mediate interactions with the cell environment and play decisive roles in many signaling events. For cell-cell recognition molecules, it is highly likely that their structures and behavior have been optimized in ways that overcome the limitations of membrane tethering. In particular, the ligand binding regions of these proteins likely need to be maximally exposed. Here we show by means of atomistic simulations of membrane-bound CD2, a small cell adhesion receptor expressed by human T-cells and natural killer cells, that the presentation of its ectodomain is highly dependent on membrane lipids and receptor glycosylation acting in apparent unison. Detailed analysis shows that the underlying mechanism is based on electrostatic interactions complemented by steric interactions between glycans in the protein and the membrane surface. The findings are significant for understanding the factors that render membrane receptors accessible for binding and signaling.
Proteins embedded in the plasma membrane mediate interactions with the cell environment and play decisive roles in many signaling events. For cell-cell recognition molecules, it is highly likely that their structures and behavior have been optimized in ways that overcome the limitations of membrane tethering. In particular, the ligand binding regions of these proteins likely need to be maximally exposed. Here we show by means of atomistic simulations of membrane-bound CD2, a small cell adhesion receptor expressed by human T-cells and natural killer cells, that the presentation of its ectodomain is highly dependent on membrane lipids and receptor glycosylation acting in apparent unison. Detailed analysis shows that the underlying mechanism is based on electrostatic interactions complemented by steric interactions between glycans in the protein and the membrane surface. The findings are significant for understanding the factors that render membrane receptors accessible for binding and signaling.
Membrane
proteins and receptors
direct a variety of cellular functions by, for example, being involved
in cell recognition and generating signals associated with cellular
communication. The fact that these molecules are tethered to membranes
and interact at cellular interfaces has several important consequences.[1] Principal among these is that membrane tethering
limits the ability of receptors to encounter each other, and this
requires the opposing surfaces to come into sufficiently close proximity
to allow engagement of the binding partners driven by lateral diffusion
in the membrane only. A related consideration is that cell surface
proteins can vary considerably in size, which will tend to work against
the interactions of pairs of smaller proteins. On the other hand,
all of these proteins are tethered to the membrane either by a glycosylphosphatidylinositol
(GPI) anchor, which in at least some instances is likely to be highly
flexible,[2] or via a relatively short (∼4–15
residue) “stalk”-like segment presumed to have extended,
nonrigid structures. At present, it is unclear how the positioning
of the ligand binding sites of receptors is optimized to ensure efficient
ligand engagement at the cell surface.Recent experimental work
has suggested that lipids located in the
extracellular leaflet of a cell membrane can influence protein behavior
and activation. For example, it has been proposed that the ganglioside
GM3 inhibits epidermal growth factor receptor (EGFR) autophosphorylation,[3] and the activation of toll-like receptor 4 has
been reported to be inhibited by another two gangliosides (GM1 and
GD1A).[4] These studies suggest that lipids
could affect ectodomain activity, perhaps by influencing the positioning
of the receptor in the membrane. Other work on the EGFR implies that
protein glycosylation can also influence membrane receptor conformation
and accessibility for ligand binding.[5] Here,
we explore the possibility that lipids and glycosylation act in concert
to control the positioning of the ligand binding region of an immune
receptor, CD2,[6−9] using atomistic molecular dynamics simulations.CD2 is expressed
in T-cells and natural killer cells, where it
functions as a cell adhesion and co-stimulatory molecule. The extracellular
domain (ECD) of CD2 is relatively small (∼75 Å),[10,11] which for our purposes is advantageous because it allows us to explore
its full conformational space in multimicrosecond simulations. This
region of CD2 consists of a membrane-distal immunoglobulin superfamily
(IgSF) V-set domain supported by a C2-set domain.[10,11] The positioning of the ligand binding region of CD2 at the “top”
of the V-set domain suggests its optimization for ligand binding.
The ECD is attached to a conventional transmembrane domain via a seven-residue,
apparently extended stalk.[11] An intriguing
feature of CD2 is the presence of a highly conserved glycosylation
site at the base of CD2 of domain 2.[12] This
glycosylation site is well away from the ligand binding region, and
it has been shown that the ligand-binding properties of CD2 are in
any case glycosylation-independent. It has therefore been proposed
that the conserved site is well placed for an N-glycan
positioned there to stabilize the orientation of the protein at the
surface.[10,12] Finally, there are suggestions that CD2
function is lipid-dependent.[13,14]In general terms, N-glycosylation is one of the
most common structural modifications of proteins, being involved in,
for example, protein folding, structural diversification, and activation.[15−17] Considering the importance of N-glycosylation and
the difficulties associated with unraveling the effects of atom-scale
structural modifications, the role of membrane protein glycosylation
has received surprisingly little attention in the form of atomistic
simulations until now; to our knowledge, only one atom-scale simulation
study has explored the influence of glycosylation on membrane protein
conformation and the resulting effects on presentation and ligand
binding.[5] The study showed glycosylation
to critically determine the structural arrangement of the EGFR ectodomain
and its ligand-binding domains. Further studies on peptides interacting
with lipid membranes have explored, for example, the importance of
glycosylation in the binding of autoantibodies with glycopeptides
used as biomarkers.[18]CD2 is the
ideal candidate for exploring how lipids and glycosylation
could act in concert to position its ectodomain, thereby enhancing
its binding function. This stems from the facts that CD2 has conserved
membrane-proximal glycosylation, there are data favoring the view
that its function is lipid-dependent,[13,14] and, above
all, that it is a relatively small glycoprotein. We find that both
lipid composition and glycosylation influence the orientation and
dynamics of the CD2 ectodomain, but the most distinct and most pronounced
effect is observed when they act in concert. The implications of these
findings are discussed below.We unraveled the importance of
glycosylation (G) compared to nonglycosylation
(NG) in two different lipid membranes: a single-component, liquid-disordered
(Ld) fluid bilayer made of 1,2-dioleoyl-sn-glycero-3-phosphocholine
(DOPC; referred to here as the Ld bilayer) and a bilayer with a ternary
lipid mixture (DOPC, sphingomyelin (SM), and cholesterol (Chol)),
which is more ordered (liquid-ordered (Lo)) and less fluid and is
often taken as a physical model of putative membrane “rafts”[19] (referred to here as the Lo bilayer). Introducing
glycosylated (G) and nonglycosylated (NG) CD2 into these bilayers
resulted in the simulation of four systems (Ld-NG, Ld-G, Lo-NG, Lo-G),
which were simulated for 500 ns each, and every simulation was repeated
three times to improve sampling.Figure highlights
qualitatively the main conclusions of this study by means of a series
of snapshots (see also movies in the Supporting
Information (SI)). We find that the orientation of the ECD
of CD2 can depend in a critical manner on both CD2 glycosylation and
the local lipid composition of the membrane.
Figure 1
Simulation snapshots
of the equilibrium configurations of nonglycosylated
CD2 in (a) Ld (Ld-NG) and (b) Lo (Lo-NG) bilayers and of glycosylated
CD2 in (c) Ld (Ld-G) and (d) Lo (Lo-G) bilayers. Color code: DOPC
(orange), SM (cyan), Chol (yellow), CD2 domain 1 (dark blue), CD2
domain 2 (red), CD2 transmembrane helix (black), and lipid carbohydrate
chains (light blue). The glycans attached to CD2 in panels (c) and
(d) (Ld-G, Lo-G) are shown in light blue. For clarity, water and ions
are not shown.
Simulation snapshots
of the equilibrium configurations of nonglycosylated
CD2 in (a) Ld (Ld-NG) and (b) Lo (Lo-NG) bilayers and of glycosylated
CD2 in (c) Ld (Ld-G) and (d) Lo (Lo-G) bilayers. Color code: DOPC
(orange), SM (cyan), Chol (yellow), CD2 domain 1 (dark blue), CD2
domain 2 (red), CD2 transmembrane helix (black), and lipid carbohydrate
chains (light blue). The glycans attached to CD2 in panels (c) and
(d) (Ld-G, Lo-G) are shown in light blue. For clarity, water and ions
are not shown.In the Ld bilayer without
glycosylation (Figure a), the ECD is positioned parallel to the
membrane surface. For the same Ld bilayer with glycosylation (Figure c), the ECD of CD2
is positioned more upright, suggesting that glycosylation plays a
role in CD2 orientation. Considering CD2 in the Lo bilayer, we find
that the lipid composition has an important role in CD2 ECD positioning
too (Figure b,d).
Without glycosylation in the Lo system, the ECD of CD2 fluctuates
around an upright position (Figure b). However, the most significant change is observed
when the Lo bilayer hosts glycosylated CD2, where the protein assumes
a constitutively upright position (Figure d).While the data shown in Figure are suggestive,
a more quantitative analysis of the
simulation data confirmed these findings. We first calculated the
tilt angle for vectors that represent the ECDs of CD2. The vectors
used to characterize the domain orientations were defined as follows.
We first define three points A, B, and C (Figure a), where point A is localized at the top
of domain 1 (atom N in the LYS residue), point B is in the linker
region[10] between domains 1 and 2 (atom
N in the GLU residue), and point C connects domain 2 to the transmembrane
helix at the “top” of the membrane (atom N in ASP).
Vectors RBA from B to A (in the domain 1)
and RCB from C to B (in the domain 2) are
then defined as vectors connecting these points (Figure a). The tilt angles of these
vectors with respect to the membrane normal are denoted by θ1 (for domain 1) and θ2 (for domain 2), respectively.
Figure 2
(a) Schematic
diagram of CD2 embedded in a lipid membrane. The
transmembrane part of CD2 is shown in violet, while the two domains
in the ECD of CD2 are denoted by semidark green (domain 1) and light
orange (domain 2). Points A, B, and C (see text) stand for the top
of domain 1, the junction between domains 1 and 2, and the bottom
of domain 2 that is connected to the transmembrane helix of CD2, respectively.
(b) Probability distribution functions of the tilt angle of domain
1 with respect to the membrane normal. (c) A similar probability distribution
for the tilt of domain 2. Color code: Ld-NG (red), Ld-G (green), Lo-NG
(blue), Lo-G (brown).
(a) Schematic
diagram of CD2 embedded in a lipid membrane. The
transmembrane part of CD2 is shown in violet, while the two domains
in the ECD of CD2 are denoted by semidark green (domain 1) and light
orange (domain 2). Points A, B, and C (see text) stand for the top
of domain 1, the junction between domains 1 and 2, and the bottom
of domain 2 that is connected to the transmembrane helix of CD2, respectively.
(b) Probability distribution functions of the tilt angle of domain
1 with respect to the membrane normal. (c) A similar probability distribution
for the tilt of domain 2. Color code: Ld-NG (red), Ld-G (green), Lo-NG
(blue), Lo-G (brown).The probability distributions P(θ1) and P(θ2) of the tilt
angles
are shown in Figure b,c, respectively. The results show that the tilt angle θ1 of domain 1 is the highest for nonglycosylated CD2 embedded
in the Ld bilayer, and the smallest tilt is observed for glycosylated
CD2 in the Lo bilayer. The tilts for glycosylated CD2 in the Ld bilayer
and for nonglycosylated CD2 in the Lo bilayer are comparable and between
the two above-mentioned extreme cases. The average values of the tilt
angles are summarized in Table , which highlights profound differences between the four systems.
A similar pattern is found for the tilt angle θ2 of
domain 2 (Figure c).
Similar conclusions are found when one analyzes the tilt angle of
the entire ECD of CD2 (θtilt between RCA and the membrane normal; Figure a) and the kink angle between domains 1 and
2 (θkink between vectors RBA and RCB; Figure a); see Figure S4 in the SI.
Table 1
Results for the Average Values of
the Tilt Angles (θ1, θ2) Describing
the Orientation of Domains 1 and 2 of the CD2 Ectodomaina
system
average θ1 (deg)
average θ2 (deg)
Ld-NG
65.30 ± 0.07
73.33 ± 0.30
Ld-G
38.40 ± 0.39
31.77 ± 1.11
Lo-NG
34.62 ± 0.50
34.98 ± 0.61
Lo-G
25.82 ± 1.00
21.78 ± 0.57
See Figure . The error correspond
to the standard error
based on analyses of the three independent simulations for each system.
See Figure . The error correspond
to the standard error
based on analyses of the three independent simulations for each system.The results suggest that glycosylation
and lipid composition govern
the orientation of the ECD of CD2. One possible general conclusion
that can be drawn is that for membrane receptors with binding surfaces
or binding pockets in the extracellular region, glycosylation and
the lipid environment may restrict the amount of ligand-accessible
space. We therefore complemented the above analysis for ECD orientation
and determined also the distances between the ECD of CD2 and the bilayer
surface. To this end, the distance between the center of mass (CM)
positions of domains 1 and 2 along the bilayer normal direction is
defined as d12. The distances along the
membrane normal between A and C and B and C are then defined as d1m and d2m, respectively
(see Figure ).Data presented in Figure a show that the distance d12 is
the shortest for nonglycosylated CD2 in the DOPC bilayer, and it is
the longest for the glycosylated CD2 in the Lo bilayer. The distance
is in-between these limits for the remaining two cases (Ld-G and Lo-NG).
Consistent conclusions are found based on the distances d1m and d2m (Figure b,c).
Figure 3
Probability distributions
for distances (a) d12, (b) d1m, and (c) d2m for the different
conditions studied.
Probability distributions
for distances (a) d12, (b) d1m, and (c) d2m for the different
conditions studied.Figure allows
us to indicate the relative importance of glycosylation and the two
lipid compositions for the orientation of the ECD. First, Figure provides compelling
evidence that the ECD generally stands most upright when CD2 (either
glycosylated or nonglycosylated) is in the Lo bilayer. Second, in
both Ld and Lo bilayers, the glycosylated form of CD2 stands more
upright than the nonglycosylated protein. This feature is quite weak
in the Lo systems but strong in the Ld membranes.The largest
effect on the positioning of the ECD of CD2 appears
to be the Lo lipid composition in the bilayer, compared to the Ld
bilayer. Glycosylation also influences ECD positioning, but this effect
is somewhat less pronounced compared to the change induced when going
from the Ld to the Lo lipid environment. In order to understand what
governs the orientation of the CD2 ectodomain, and in particular why
the ectodomain of nonglycosylated CD2 collapses in the Ld bilayer,
we next explored the orientation of the CD2 transmembrane domain and
its dependence on glycosylation and membrane lipid content. Figure shows that the orientation
of the transmembrane domain is distinctly different in the Ld and
Lo bilayers, irrespective of the presence of glycosylation. In the
case of the Ld environment, where the membranes are ∼0.4 nm
thicker than those in the Lo systems, the transmembrane region is
more “upright” on average (Figure ). Further analysis showed that the orientation
of the transmembrane domain does not correlate with the position of
the ectodomain (Figure S5).
Figure 4
(a) Probability distributions
for the orientation of the transmembrane
region of CD2 characterized by α, which is the angle between
the principal axis of the CD2 transmembrane domain and the membrane
normal. Average values of α together with error bars are listed
in the inset. (b) Schematic illustration of the angle α.
(a) Probability distributions
for the orientation of the transmembrane
region of CD2 characterized by α, which is the angle between
the principal axis of the CD2 transmembrane domain and the membrane
normal. Average values of α together with error bars are listed
in the inset. (b) Schematic illustration of the angle α.We next turned our attention to
lipid–protein interactions.
We identified the amino acids on nonglycosylated CD2 that interacted
with the lipid membrane environment in the Ld system. These were positively
charged lysines and arginines forming a patch, present in both human
and rat CD2, and suggesting electrostatic interactions to play a role
in CD2 tilting. We therefore performed additional simulations wherein
Lys125, Lys132, Lys185, Lys183, Lys206, Lys134, Lys175, Lys166, Arg170,
and Arg129 were deprotonated to a neutral form (Figure S10). Figure depicts the significance of deprotonation. Whereas the ECD
of intact nonglycosylated CD2 associates directly with the membrane
surface of the Ld bilayer, deprotonated nonglycosylated CD2 is positioned
upright in a largely similar manner to glycosylated CD2 in the Lo
bilayer. These data suggest that the main cause of the CD2 ectodomain’s
tilt is the electrostatic attractive interaction between the charged
residues and the strongly polar lipid head groups (of DOPC) in the
bilayer. When weakly polar Chol replaces strongly polar DOPC, as in
a change from the Ld to the Lo system, or when CD2 is deprotonated,
the tilt is reduced (Figures b,c and 5). In addition, the glycans
bound to CD2 and, in particular, the glycosylation in the juxtamembrane
region of CD2 prevent collapse of the ectodomain by both shielding
the charged residues and holding the ECD upright through steric effects.
Figure 5
(a) Distribution
of the tilt angle θtilt in the
Ld-NG system (blue line) when a set of 10 positively charged amino
acids of CD2 were deprotonated (see text). The tilt θtilt is the angle between the membrane normal and a vector from the point
C to A (see Figure a). The corresponding data for the intact Ld-NG system without deprotonation
are shown for comparison (red line). (b) Snapshot of the equilibrium
configuration for the deprotonated Ld-NG system. The neutralized lysines
are shown in green and the neutralized arginines in violet.
(a) Distribution
of the tilt angle θtilt in the
Ld-NG system (blue line) when a set of 10 positively charged amino
acids of CD2 were deprotonated (see text). The tilt θtilt is the angle between the membrane normal and a vector from the point
C to A (see Figure a). The corresponding data for the intact Ld-NG system without deprotonation
are shown for comparison (red line). (b) Snapshot of the equilibrium
configuration for the deprotonated Ld-NG system. The neutralized lysines
are shown in green and the neutralized arginines in violet.The above-described conclusions
are supported by analysis of the
total electrostatic energy that results from electrostatic interactions
between CD2 and all of the membrane lipids (see Figure S8). Here, the basis is the idea that the larger the
(attractive) electrostatic interaction, the more tilted the ECD. Accordingly,
we observe that the electrostatic energy is the highest in the Ld-NG
system, followed by (in decreasing order) Ld-G, Lo-NG, and Lo-G. The
correlation with the results describing the ECD orientation in Figure is evident. Further,
we find that the total electrostatic interaction is lowest in the
deprotonated system, where the ECD of CD2 stands the most upright.As discussed above, the positively charged lysines and arginines
form a patch that is present in both human and rat CD2. As a matter
of fact, a patch of charged residues is present in this region even
beyond these species. We carried out sequence alignment for CD2 for
all mammal species for which the sequence was deposited in UNIPROT
(see Figure S11). Regarding the charged
residues, lysines 125 and 132 were found to be highly conserved, and
lysines 185, 175, and 166 as well as arginine 170 were also frequently
conserved. As for glycosylation, positions 89 and 141 were also found
to be highly conserved.Our results suggest that positioning
of the ECD in CD2 is affected
by protein glycosylation and the lipid composition of the membrane
environment that hosts the protein. On the basis of analysis for CD2,
the most decisive factor is the lipid content (Figure ). We found that when CD2 is transferred
from a bilayer that is characterized by a DOPC-rich Ld membrane environment
to a Chol- and SM-rich bilayer with a more ordered Lo membrane environment,
the orientation of the ECD undergoes significant reorganization; in
the Ld bilayer, the ECD associates with the membrane, while in the
Lo bilayer, the ECD stands upright. Glycosylation had a similar effect,
but its significance was less pronounced versus that of lipid-induced
effects. Importantly, the largest effects were observed when lipids
and glycosylation acted in unison.Lipids are proposed to affect
membrane protein conformation in
a number of ways. These include Chol-induced changes in membrane order,
ordering of water, ion binding and ion-mediated interactions, lipid–protein
interactions, or changes in the pressure profile inside of a membrane.[20−24] We tested many of the potential contributions in our simulations
(e.g., leaving out Chol, considering differing water contents, and
assessing the importance of lipid–protein interactions), but
each of these was found to be insignificant (see the SI). Instead, the results point to a conclusion that the lipid-induced
tilt of the membrane protein ectodomain was driven by electrostatic
interactions. The results in Figures and S8 demonstrate this
convincingly. Our simulations indicate that the significant tilt of
the CD2 ectodomain largely disappeared when the positively charged
amino acids (two arginines and eight lysines), which interact with
the headgroup of DOPC, were deprotonated (Figure ). Further, when we considered the total
electrostatic interaction between CD2 and the lipid membrane, we found
a direct correlation between the electrostatic interaction and the
ECD tilt (Figures S8 and 2).The effect on CD2 orientation of glycosylation appears
to be due
to steric effects; glycans in the ECD of CD2 act as a steric barrier,
preventing association with the membrane surface. Similar effects
were recently observed for the EGFR,[5] wherein
loss of glycosylation led to strong interactions between the protein
and the membrane surface, resulting in a reduction in the accessibility
of the ligand-binding site. In the present work, the most important
glycosylation is that linked to Asn141 and Asn150 located close to
the membrane surface (Figure , Figure S9). The influence of
these glycans was enhanced in the Lo membrane environment, presumably
due to mechanical effects such as Chol-induced increased order and
reduced elasticity. However, the glycosylation at Asn150 is likely
also to act as a shield, preventing electrostatic interactions mediated
by lysine and arginine residues,[25] which
in CD2 form a patch of positive electrostatic potential (see Figures S9 and S10).In conclusion, our
results show that lipids and glycosylation act
in concert in modulating the orientation of the CD2 ECD. These effects
are likely to have a crucial role in ensuring that CD2 binds efficiently
to its ligands, enhancing T-cell interactions and signaling. In more
general terms, given the abundance of glycosylation among membrane
proteins, our results suggest their orientation and presentation to
be quite broadly influenced by the concerted interplay of lipids and
glycosylation.
Methods
The crystal structures of
the SH2 and SH3 domains of CD2 were obtained
from the PDB database (id: 1HNF),[26] and the transmembrane
helical part of CD2 was built using the VMD package.[27] Hence, we simulated residues 25–235 of CD2. For
numbering of the residues, we used the UNIPROT scheme. As for glycosylation,
N-linked glycans display an extraordinary diversity.[28] However, because all N-linked glycans share the common
pentasaccharide core (GlcNAc2Man3; see Figure S1), this primary sugar core is here attached
to the N-terminus of residues 89, 141, and 150 (Figure S9) using the protocol described elsewhere.[5] The present study shows that even this primary
sugar core that is an appropriate choice for simulation purposes to
demonstrate the effects of glycosylation has a major influence on
CD2 orientation and presentation. The effects of glycosylation can
be expected to strengthen with longer and more specific glycans.The multicomponent Lo membrane used in our simulations was comprised
of 35.3 mol % SM (SM d16:1/16:0), 43.0 mol % DOPC, and 28.7 mol %
Chol. As a control system in the Ld phase, we used a single-component
DOPC bilayer. The number of lipids ranged between 508 and 982, and
the number of water molecules was between ∼85 000 and
∼220 000. Details of the systems’ compositions
and dimensions are given in Table S1.All simulations were performed with the GROMACS 4 package.[29] The refined OPLS all-atom force field was used
for SM and DOPC,[30−33] and the standard OPLS all-atom force field was employed for the
protein and the sugars together with the OPLS-compatible TIP3P water
model.[34] The Nosé–Hoover
thermostat[35] and the Parrinello–Rahman
barostat[36] were used to maintain the temperature
and pressure at 310 K and 1 atm. A semi-isotropic pressure coupling
with a compressibility of 4.5 × 10–5 bar–1 was used in the NpT ensemble. Long-range
electrostatic interactions were incorporated through the Particle
Mesh Ewald (PME) method with a cutoff of 1 nm (between real and reciprocal
space descriptions), and the same cutoff was also used for Lennard-Jones
interactions.[37] For each of the systems,
we carried out three independent 500 ns simulations. The first 300
ns of the 500 ns trajectories was considered as an equilibration period
based on convergence of the ECD orientation distributions (see the SI), and the last 200 ns was used for analysis
unless mentioned otherwise. The results of the three independent simulations
were used as the basis for error analysis. The results of the three
simulations, for each of the systems considered, were found to be
consistent with each other.
Authors: Raquel J Nunes; Mónica A A Castro; Carine M Gonçalves; Martina Bamberger; Carlos F Pereira; Georges Bismuth; Alexandre M Carmo Journal: J Immunol Date: 2008-01-15 Impact factor: 5.422
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