Molecular dynamics simulations of lipid bilayers: major artifacts due to truncating electrostatic interactions

We study the influence of truncating the electrostatic interactions in a fully hydrated pure dipalmitoylphosphatidylcholine (DPPC) bilayer through 20 ns molecular dynamics simulations. The computations in which the electrostatic interactions were truncated are compared to similar simulations using the particle-mesh Ewald (PME) technique. All examined truncation distances (1.8-2.5 nm) lead to major effects on the bilayer properties, such as enhanced order of acyl chains together with decreased areas per lipid. The results obtained using PME, on the other hand, are consistent with experiments. These artifacts are interpreted in terms of radial distribution functions g(r) of molecules and molecular groups in the bilayer plane. Pronounced maxima or minima in g(r) appear exactly at the cutoff distance indicating that the truncation gives rise to artificial ordering between the polar phosphatidyl and choline groups of the DPPC molecules. In systems described using PME, such artificial ordering is not present.     

Molecular dynamics simulations of proteins in lipid bilayers

With recent advances in X-ray crystallography of membrane proteins promising many new high-resolution structures, molecular dynamics simulations will become increasingly valuable for understanding membrane protein function, as they can reveal the dynamic behavior concealed in the static structures. Dramatic increases in computational power, in synergy with more efficient computational methodologies, now allow us to carry out molecular dynamics simulations of any structurally known membrane protein in its native environment, covering timescales of up to 0.1 micros. At the frontiers of membrane protein simulations are ion channels, aquaporins, passive and active transporters, and bioenergetic proteins.     

Molecular dynamics simulations of hydrophilic pores in lipid bilayers

Hydrophilic pores are formed in peptide free lipid bilayers under mechanical stress. It has been proposed that the transport of ionic species across such membranes is largely determined by the existence of such meta-stable hydrophilic pores. To study the properties of these structures and understand the mechanism by which pore expansion leads to membrane rupture, a series of molecular dynamics simulations of a dipalmitoylphosphatidylcholine (DPPC) bilayer have been conducted. The system was simulated in two different states; first, as a bilayer containing a meta-stable pore and second, as an equilibrated bilayer without a pore. Surface tension in both cases was applied to study the formation and stability of hydrophilic pores inside the bilayers. It is observed that below a critical threshold tension of approximately 38 mN/m the pores are stabilized. The minimum radius at which a pore can be stabilized is 0.7 nm. Based on the critical threshold tension the line tension of the bilayer was estimated to be approximately 3 x 10(-11) N, in good agreement with experimental measurements. The flux of water molecules through these stabilized pores was analyzed, and the structure and size of the pores characterized. When the lateral pressure exceeds the threshold tension, the pores become unstable and start to expand causing the rupture of the membrane. In the simulations the mechanical threshold tension necessary to cause rupture of the membrane on a nanosecond timescale is much higher in the case of the equilibrated bilayers, as compared with membranes containing preexisting pores.     

Molecular dynamics simulations of indolicidin association with model lipid bilayers

Identifying the mechanisms responsible for the interaction of peptides with cell membranes is critical to the design of new antimicrobial peptides and membrane transporters. We report here the results of a computational simulation of the interaction of the 13-residue peptide indolicidin with single-phase lipid bilayers of dioleoylphosphatidylcholine, distearoylphosphatidylcholine, dioleoylphosphatidylglycerol, and distearoylphosphatidylglycerol. Ensemble analysis of the membrane-bound peptide revealed that, in contrast to the extended, linear backbone structure reported for indolicidin in sodium dodecyl sulphate detergent micelles, the peptide adopts a boat-shaped conformation in both phosphatidylglycerol and phosphatidylcholine lipid bilayers, similar to that reported for dodecylphosphocholine micelles. In agreement with fluorescence and NMR experiments, simulations confirmed that the peptide localizes in the membrane interface, with the distance between phosphate headgroups of each leaflet being reduced in the presence of indolicidin. These data, along with a concomitant decrease in lipid order parameters for the upper-tail region, suggest that indolicidin binding results in membrane thinning, consistent with recent in situ atomic force microscopy studies.     

Molecular dynamics simulations of human prion protein: importance of correct treatment of electrostatic interactions.

Molecular dynamics simulations have been used to investigate the dynamical and structural behavior of a homology model of human prion protein HuPrP(90-230) generated from the NMR structure of the Syrian hamster prion protein ShPrP(90-231) and of ShPrP(<90-231) itself. These PrPs have a large number of charged residues on the protein surface. At the simulation pH 7, HuPrP(90-230) has a net charge of -1 eu from 15 positively and 14 negatively charged residues. Simulations for both PrPs, using the AMBER94 force field in a periodic box model with explicit water molecules, showed high sensitivity to the correct treatment of the electrostatic interactions. Highly unstable behavior of the structured region of the PrPs (127-230) was found using the truncation method, and stable trajectories could be achieved only by including all the long-range electrostatic interactions using the particle mesh Ewald (PME) method. The instability using the truncation method could not be reduced by adding sodium and chloride ions nor by replacing some of the sodium ions with calcium ions. The PME simulations showed, in accordance with NMR experiments with ShPrP and mouse PrP, a flexibly disordered N-terminal part, PrP(90-126), and a structured C-terminal part, PrP(127-230), which includes three alpha-helices and a short antiparallel beta-strand. The simulations showed some tendency for the highly conserved hydrophobic segment PrP(112-131) to adopt an alpha-helical conformation and for helix C to split at residues 212-213, a known disease-associated mutation site (Q212P). Three highly occupied salt bridges could be identified (E146/D144<-->R208, R164<-->D178, and R156<-->E196) which appear to be important for the stability of PrP by linking the stable main structured core (helices B and C) with the more flexible structured part (helix A and strands A and B). Two of these salt bridges involve disease-associated mutations (R208H and D178N). Decreased PrP stability shown by protein unfolding experiments on mutants of these residues and guanidinium chloride or temperature-induced unfolding studies indicating reduced stability at low pH are consistent with stabilization by salt bridges. The fact that electrostatic interactions, in general, and salt bridges, in particular, appear to play an important role in PrP stability has implications for PrP structure and stability at different pHs it may encounter physiologically during normal or abnormal recycling from the pH neutral membrane surface into endosomes or lysomes (acidic pHs) or in NMR experiments (5.2 for ShPrP and 4.5 for mouse PrP).     

Molecular dynamics simulations of palmitoyloleoylphosphatidylglycerol bilayers

Phosphatidylglycerol (PG) is one of the important components of biological membranes, but there is a paucity of experimental data to test the accuracy of molecular dynamics (MD) simulations. This work consists of testing the accuracy of the CHARMM36 (C36) lipid force field on 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphoglycerol (POPG) lipid bilayers. MD simulations of POPG lipid bilayers are compared to recently available X-ray and neutron scattering and deuterium NMR measurements. Overall, the C36 lipid force field accurately represents the X-ray and neutron form factors, bilayer and hydrocarbon thicknesses and chain deuterium order parameters. The surface area per lipid from MD simulations with C36 (67.7 ± 0.2 Å²) is in excellent agreement with the experimentally determined value of 66.0 ± 1.3 Å². C36 outperforms the lipid force field developed by Berger et al. [15] and suggests that past studies with this force field may result in lateral areas that are too small. Moreover, our studies give some insight into the structural model used in experiments and suggest that the functional form for the head group may not be Gaussian-like. Based on our simulations, the POPG lipid in the C36 lipid force field is well parameterised and can be used for other PG lipids and membrane models with mixed lipids.     

Molecular dynamics simulations of unsaturated lipid bilayers: effects of varying the numbers of double bonds

The importance of unsaturated, and especially polyunsaturated phosphatidylcholine molecules for the functional properties of biological membranes is widely accepted. Here, the effects of unsaturation on the nanosecond-scale structural and dynamic properties of the phosphatidylcholine bilayer were elucidated by performance of multinanosecond molecular dynamics simulations of all-atom bilayer models. Bilayers of dipalmitoylphosphatidylcholine and its mono-, di-, and tetraunsaturated counterparts were simulated, containing, respectively, oleoyl, linoleoyl, or arachidonoyl chains in the sn-2 position. Analysis of the simulations focused on comparison of the structural properties, especially the ordering of the chains in the membranes. Although the results suggest some problems in the CHARMM force field of the lipids when applied in a constant pressure ensemble, the features appearing in the ordering of the unsaturated chains are consistent with the behaviour known from ²H NMR experiments. The rigidity of the double bonds is compensated by the flexibility of skew state single bonds juxtaposed with double bonds. The presence of double bonds in the sn-2 chains considerably reduces the order parameters of the CH bonds. Moreover, the double bond region of tetraunsaturated chains is shown to span all the way from the bilayer centre to the head group region.     

Molecular dynamics simulations of phospholipid bilayers with cholesterol

To investigate the microscopic interactions between cholesterol and lipids in biological membranes, we have performed a series of molecular dynamics simulations of large membranes with different levels of cholesterol content. The simulations extend to 10 ns, and were performed with hydrated dipalmitoylphosphatidylcholine (DPPC) bilayers. The bilayers contain 1024 lipids of which 0-40% were cholesterol and the rest DPPC. The effects of cholesterol on the structure and mesoscopic dynamics of the bilayer were monitored as a function of cholesterol concentration. The main effects observed are a significant ordering of the DPPC chains (as monitored by NMR type order parameters), a reduced fraction of gauche bonds, a reduced surface area per lipid, less undulations--corresponding to an increased bending modulus for the membrane, smaller area fluctuations, and a reduced lateral diffusion of DPPC-lipids as well as cholesterols.     

Molecular dynamics simulations of lipid nanodiscs

A lipid nanodisc is a discoidal lipid bilayer stabilized by proteins, peptides, or polymers on its edge. Nanodiscs have two important connections to structural biology. The first is associated with high-density lipoprotein (HDL), a particle with a variety of functionalities including lipid transport. Nascent HDL (nHDL) is a nanodisc stabilized by Apolipoprotein A-I (APOA1). Determining the structure of APOA1 and its mimetic peptides in nanodiscs is crucial to understanding pathologies related to HDL maturation and designing effective therapies. Secondly, nanodiscs offer non-detergent membrane-mimicking environments and greatly facilitate structural studies of membrane proteins. Although seemingly similar, natural and synthetic nanodiscs are different in that nHDL is heterogeneous in size, due to APOA1 elasticity, and gradually matures to become spherical. Synthetic nanodiscs, in contrast, should be homogenous, stable, and size-tunable. This report reviews previous molecular dynamics (MD) simulation studies of nanodiscs and illustrates convergence and accuracy issues using results from new multi-microsecond atomistic MD simulations. These new simulations reveal that APOA1 helices take 10–20 μs to rearrange on the nanodisc, while peptides take 2 μs to migrate from the disc surfaces to the edge. These systems can also become kinetically trapped depending on the initial conditions. For example, APOA1 was trapped in a biologically irrelevant conformation for the duration of a 10 μs trajectory; the peptides were similarly trapped for 5 μs. It therefore remains essential to validate MD simulations of these systems with experiments due to convergence and accuracy issues. This article is part of a Special Issue entitled: Emergence of Complex Behavior in Biomembranes edited by Marjorie Longo.     

Naratriptan aggregation in lipid bilayers: perspectives from molecular dynamics simulations

In order to understand the interaction between naratriptan and a fully hydrated bilayer of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphatidyl-choline (POPC), we carried out molecular dynamics simulations. The simulations were performed considering neutral and protonated ionization states, starting from different initial conditions. At physiological pH, the protonated state of naratriptan is predominant. It is expected that neutral compounds could have larger membrane partition than charged compounds. However, for the specific case of triptans, it is difficult to study neutral species in membranes experimentally, making computer simulations an interesting tool. When the naratriptan molecules were originally placed in water, they partitioned between the bilayer/water interface and water phase, as has been described for similar compounds. From this condition, the drugs displayed low access to the hydrophobic environment, with no significant effects on bilayer organization. The molecules anchored in the interface, due mainly to the barrier function of the polar and oriented lipid heads. On the other hand, when placed inside the bilayer, both neutral and protonated naratriptan showed self-aggregation in the lipid tail environment. In particular, the protonated species exhibited a pore-like structure, dragging water through this environment.

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Graphical Abstract Different behaviour of Naratriptan and Sumatriptan, when the drugs were originally placed in the lipid core

     

Molecular dynamics simulations of model trans-membrane peptides in lipid bilayers: a systematic investigation of hydrophobic mismatch

Hydrophobic mismatch, which is the difference between the hydrophobic length of trans-membrane segments of a protein and the hydrophobic width of the surrounding lipid bilayer, is known to play a role in membrane protein function. We have performed molecular dynamics simulations of trans-membrane KALP peptides (sequence: GKK(LA)nLKKA) in phospholipid bilayers to investigate hydrophobic mismatch alleviation mechanisms. By varying systematically the length of the peptide (KALP15, KALP19, KALP23, KALP27, and KALP31) and the lipid hydrophobic length (DLPC, DMPC, and DPPC), a wide range of mismatch conditions were studied. Simulations of durations of 50-200 ns show that under positive mismatch, the system alleviates the mismatch predominantly by tilting the peptide and to a smaller extent by increased lipid ordering in the immediate vicinity of the peptide. Under negative mismatch, alleviation takes place by a combination of local bilayer bending and the snorkeling of the lysine residues of the peptide. Simulations performed at a higher peptide/lipid molar ratio (1:25) reveal slower dynamics of both the peptide and lipid relative to those at a lower peptide/lipid ratio (1:128). The lysine residues have favorable interactions with specific oxygen atoms of the phospholipid headgroups, indicating the preferred localization of these residues at the lipid/water interface.     

Molecular dynamics simulations of SOPS and sphingomyelin bilayers containing cholesterol

We performed a molecular dynamics simulation of an asymmetric bilayer that contained different lipid mixtures in its outer and inner leaflets. The outer leaflet contained a mixture of sphingomyelin (SM) with cholesterol and the inner leaflet a mixture of stearoyl-oleoyl-phosphatidylserine (SOPS) with cholesterol. For comparison purposes, we also performed two simulations on symmetric bilayers: the first simulation was performed on a bilayer containing a binary mixture of SOPS with cholesterol; the second contained a mixture of SM with cholesterol. We studied the hydrogen-bonding network of the bilayers in our simulations and the difference in the network properties in the monolayers either with SM or SOPS. We observed that in the asymmetric bilayer the properties of monolayers were the same as in the corresponding monolayers in the symmetric bilayers.     

Experimental validation of molecular dynamics simulations of lipid bilayers: a new approach

A novel protocol has been developed for comparing the structural properties of lipid bilayers determined by simulation with those determined by diffraction experiments, which makes it possible to test critically the ability of molecular dynamics simulations to reproduce experimental data. This model-independent method consists of analyzing data from molecular dynamics bilayer simulations in the same way as experimental data by determining the structure factors of the system and, via Fourier reconstruction, the overall transbilayer scattering-density profiles. Multi-nanosecond molecular dynamics simulations of a dioleoylphosphatidylcholine bilayer at 66% RH (5.4 waters/lipid) were performed in the constant pressure and temperature ensemble using the united-atom GROMACS and the all-atom CHARMM22/27 force fields with the GROMACS and NAMD software packages, respectively. The quality of the simulated bilayer structures was evaluated by comparing simulation with experimental results for bilayer thickness, area/lipid, individual molecular-component distributions, continuous and discrete structure factors, and overall scattering-density profiles. Neither the GROMACS nor the CHARMM22/27 simulations reproduced experimental data within experimental error. The widths of the simulated terminal methyl distributions showed a particularly strong disagreement with the experimentally observed distributions. A comparison of the older CHARMM22 with the newer CHARMM27 force fields shows that significant progress is being made in the development of atomic force fields for describing lipid bilayer systems empirically.     

Constant surface tension molecular dynamics simulations of lipid bilayers with trehalose

Surface areas and fluctuations evaluated from 50 ns molecular dynamics simulations of fully hydrated dipalmitoylphosphatidylcholine (DPPC) bilayers in a 1:2 trehalose:lipid ratio carried out at surface tensions 10, 17 and 25 dyn/cm/leaflet are compared with those of pure bilayers under the same conditions. Trehalose increases the surface area, as consistent with the surface tension lowering observed in simulations at constant area. The system bulk elastic modulus K _b  = 1.5 ± 0.3 × 10¹⁰ dyn/cm². It is independent of bilayer surface area and trehalose content within statistical error. In contrast, the area elastic modulus K _a shows a strong area dependence. At 64 Å²/lipid (the experimental surface area), K _a  = 138 ± 26 dyn/cm for a pure DPPC bilayer and 82 ± 10 dyn/cm for one with trehalose; i.e. trehalose increases fluidity of the bilayer surface at this area per lipid.     

Mesoscopic undulations and thickness fluctuations in lipid bilayers from molecular dynamics simulations

Molecular dynamics simulations of fully hydrated Dipalmitoylphosphatidylcholine bilayers, extending temporal and spatial scales by almost one order of magnitude, are presented. The present work reaches system sizes of 1024 lipids and times 10-60 ns. The simulations uncover significant dynamics and fluctuations on scales of several nanoseconds, and enable direct observation and spectral decomposition of both undulatory and thickness fluctuation modes. Although the former modes are strongly damped, the latter exhibit signs of oscillatory behavior. From this, it has been possible to calculate mesoscopic continuum properties in good agreement with experimental values. A bending modulus of 4 x 10(-20) J, bilayer area compressibility of 250-300 mN/m, and mode relaxation times in the nanosecond range are obtained. The theory of undulatory motions is revised and further extended to cover thickness fluctuations. Finally, it is proposed that thickness fluctuations is the explanation to the observed system-size dependence of equilibrium-projected area per lipid.     

Molecular dynamics simulations of the lipid bilayer edge

Phospholipid bilayers have been intensively studied by molecular dynamics (MD) simulation in recent years. The properties of bilayer edges are important in determining the structure and stability of pores formed in vesicles and biomembranes. In this work, we use molecular dynamics simulation to investigate the structure, dynamics, and line tension of the edges of bilayer ribbons composed of pure dimyristoylphosphatidylcholine (DMPC) or palmitoyl-oleoylphosphatidylethanolamine (POPE). As expected, we observe a significant reorganization of lipids at and near the edges. The treatment of electrostatic effects is shown to have a qualitative impact on the structure and stability of the edge, and significant differences are observed in the dynamics and structure of edges formed by DMPC and palmitoyl-oleoylphosphatidylethanolamine. From the pressure anisotropy in the simulation box, we calculate a line tension of approximately 10-30 pN for the DMPC edge, in qualitative agreement with experimental estimates for similar lipids.     

Molecular dynamics simulations of lung surfactant lipid monolayers

Pulmonary surfactant provides for a lipid rich film at the lung air-water interface, which prevents alveolar collapse at the end of expiration. The films are likely enriched in the major surfactant component dipalmitoylphosphatidylcholine (DPPC), which, due to its saturated fatty acid chains, can withstand high surface pressures up to 70 mN/m, thereby reducing surface tension in that interface to very low values (close to 1 mN/m). Despite many experimental measurements in situ, as well as in vitro for native lung surfactant films, the exact mechanism by which other fluid lipid components of surfactant, in combination with surfactant proteins, allow for such low surface tension values to be reached is not well understood. We have performed molecular dynamics simulation of films composed of DPPC alone and in mixtures with other fluid and acidic lipid components of surfactant at the high densities relevant to the low surface tension regime. 10-50 ns simulations were performed with the software GROMACS, with 40-64 lipids molecules plus water, using 5 different lipid compositions and 7 different areas per lipid. The primary focus was to learn how differences in lipid composition affect the response of the monolayer to compression, such as the development of curvature or the loss of lipids to the exterior of the monolayer. The systems studied exhibit features of two of the major schools of thought of lung surfactant mechanisms, in that although unsaturated lipids did not appear to prevent the monolayers from achieving high surface pressure, POPG did appear to be selectively squeezed out of the DPPC/POPG monolayers at high lipid densities.     

Molecular dynamics simulations of the interaction of phospholipid bilayers with polycaprolactone

The molecular interaction between common polymer chains and the cell membrane is unknown. Molecular dynamics simulations offer an emerging tool to characterise the nature of the interaction between common degradable polymer chains used in biomedical applications, such as polycaprolactone, and model cell membranes. Herein we characterise with all-atomistic and coarse-grained molecular dynamics simulations the interaction between single polycaprolactone chains of varying chain lengths with a phospholipid membrane. We find that the length of the polymer chain greatly affects the nature of interaction with the membrane, as well as the membrane properties. Furthermore, we next utilise advanced sampling techniques in molecular dynamics to characterise the two-dimensional free energy surface for the interaction of varying polymer chain lengths (short, intermediate, and long) with model cell membranes. We find that the free energy minimum shifts from the membrane-water interface to the hydrophobic core of the phospholipid membrane as a function of chain length. Finally, we perform coarse-grained molecular dynamics simulations of slightly larger membranes with polymers of the same length and characterise the results as compared with all-atomistic molecular dynamics simulations. These results can be used to design polymer chain lengths and chemistries to optimise their interaction with cell membranes at the molecular level.     

Molecular dynamics simulations of discoidal bilayers assembled from truncated human lipoproteins

Human apolipoprotein A-1 (apo A-1) is the major protein component of high-density lipoproteins. The apo A-1 lipid-binding domain was used as a template for the synthesis of amphipathic helical proteins termed membrane scaffold proteins, employed to self-assemble soluble monodisperse discoidal particles called Nanodiscs. In these particles, membrane scaffold proteins surround a lipid bilayer in a belt-like fashion forming bilayer disks of discrete size and composition. Here we investigate the structure of Nanodiscs through molecular dynamics simulations in which Nanodiscs were built from scaffold proteins of various lengths. The simulations showed planar or deformed Nanodiscs depending on optimal length and alignment of the scaffold proteins. Based on mean surface area per lipid calculations, comparison of small-angle x-ray scattering curves, and the relatively planar shape of Nanodiscs made from truncated scaffold proteins, one can conclude that the first 17 to 18 residues of the 200-residue apo A-1 lipid-binding domain are not involved in formation of the protein "belts" surrounding the lipid bilayer. To determine whether the addition of an integral membrane protein has an effect on the overall structure of a Nanodisc, bacteriorhodopsin was embedded into a Nanodisc and simulated using molecular dynamics, revealing a planar disk with a slightly rectangular shape.