Proton transport across transient single-file water pores in a lipid membrane studied by molecular dynamics simulations.

To test the hypothesis that water pores in a lipid membrane mediate the proton transport, molecular dynamic simulations of a phospholipid membrane, in which the formation of a water pore is induced, are reported. The probability density of such a pore in the membrane was obtained from the free energy of formation of the pore, which was computed from the average force needed to constrain the pore in the membrane. It was found that the free energy of a single file of water molecules spanning the bilayer is 108(+/-10) kJ/mol. From unconstrained molecular dynamic simulations it was further deduced that the nature of the pore is very transient, with a mean lifetime of a few picoseconds. The orientations of water molecules within the pore were also studied, and the spontaneous translocation of a turning defect was observed. The combined data allowed a permeability coefficient for proton permeation across the membrane to be computed, assuming that a suitable orientation of the water molecules in the pore allows protons to permeate the membrane relatively fast by means of a wirelike conductance mechanism. The computed value fits the experimental data only if it is assumed that the entry of the proton into the pore is not rate limiting.     

Mechanisms of selectivity in channels and enzymes studied with interactive molecular dynamics

Interactive molecular dynamics, a new modeling tool for rapid investigation of the physical mechanisms of biological processes at the atomic level, is applied to study selectivity and regulation of the membrane channel protein GlpF and the enzyme glycerol kinase. These proteins facilitate the first two steps of Escherichia coli glycerol metabolism. Despite their different function and architecture the proteins are found to employ common mechanisms for substrate selectivity: an induced geometrical fit by structurally homologous binding sites and an induced rapid dipole moment reversal. Competition for hydrogen bonding sites with water in both proteins is critical for substrate motion. In glycerol kinase, it is shown that the proposed domain motion prevents competition with water, in turn regulating the binding of glycerol.     

Combined transport of water and ions through membrane channels

The coupling of ion and water flow through membrane channels is under dispute. Among all human aquaporins only aquaporin-6 exhibits ion channel activity. Whether aquaporin-6 functions also as a water channel cannot yet be determined with confidence. Similarly, a comparison of single-channel water permeabilities from ion channels and aquaporins suggests that ion channels may play a secondary role as water channels. However, the fraction of absorbed fluid that crosses epithelial ion channels still remains to be determined.     

Simulation of molecular dynamics of water movement in ion channels

The motion of water molecules in a gramicidin-like channel was studied by the molecular dynamics method. Water molecules are presented in the ST2 model. The structure of the channel was presented in the form of channel's helix frame possessing mobile dipole groups. The interaction of all mobile particles with the membrane channel's walls was taken into account. The calculation consisted of 50,000 integration steps of delta t = 5 x 10(-16) s which corresponded to a total elapsed time of 25 ps. It was shown that water molecules in the channel did not possess rigid spatial structure but exhibited a structure oriented along the channel axis. The motion of water molecules in the channel occurred smoothly, i.e. all water molecules did not have any deep, stable potential wells in the channel. The distribution of water molecules along the radial coordinate of the channel was estimated. Water density was shown to be maximal near the channel axis.     

Ion transport through membrane-spanning nanopores studied by molecular dynamics simulations and continuum electrostatics calculations

Narrow hydrophobic regions are a common feature of biological channels, with possible roles in ion-channel gating. We study the principles that govern ion transport through narrow hydrophobic membrane pores by molecular dynamics simulation of model membranes formed of hexagonally packed carbon nanotubes. We focus on the factors that determine the energetics of ion translocation through such nonpolar nanopores and compare the resulting free-energy barriers for pores with different diameters corresponding to the gating regions in closed and open forms of potassium channels. Our model system also allows us to compare the results from molecular dynamics simulations directly to continuum electrostatics calculations. Both simulations and continuum calculations show that subnanometer wide pores pose a huge free-energy barrier for ions, but a small increase in the pore diameter to approximately 1 nm nearly eliminates that barrier. We also find that in those wider channels the ion mobility is comparable to that in the bulk phase. By calculating local electrostatic potentials, we show that the long range Coulomb interactions of ions are strongly screened in the wide water-filled channels. Whereas continuum calculations capture the overall energetics reasonably well, the local water structure, which is not accounted for in this model, leads to interesting effects such as the preference of hydrated ions to move along the pore wall rather than through the center of the pore.     

The influence of cholesterol on membrane protein structure,function, and dynamics studied by molecular dynamics simulations

The plasma membrane, which encapsulates human cells, is composed of a complex mixture of lipids and embedded proteins. Emerging knowledge points towards the lipids as having a regulating role in protein function. Furthermore, insight from protein crystallography has revealed several different types of lipids intimately bound to membrane proteins and peptides, hereby possibly pointing to a site of action for the observed regulation. Cholesterol is among the lipid membrane constituents most often observed to be co-crystallized with membrane proteins, and the cholesterol levels in cell membranes have been found to play an essential role in health and disease. Remarkably little is known about the mechanism of lipid regulation of membrane protein function in health as well as in disease. Herein, we review molecular dynamics simulation studies aimed at investigating the effect of cholesterol on membrane protein and peptide properties. This article is part of a Special Issue entitled: Lipid–protein interactions.     

Gating of MscL studied by steered molecular dynamics

Steered molecular dynamics simulations of the mechanosensitive channel of large conductance, MscL, were used to investigate how forces arising from membrane tension induce gating of the channel. A homology model of the closed form of MscL from Escherichia coli was subjected to external forces of 35-70 pN applied to residues near the membrane-water interface. The magnitude and location of these forces corresponded to those determined from the lateral pressure profile computed from a lipid bilayer simulation. A fully expanded state was obtained on the 10-ns timescale that revealed the mechanism for transducing membrane forces into channel opening. The expanded state agrees well with proposed models of MscL gating, in that it entails an irislike expansion of the pore accompanied by tilting of the transmembrane helices. The channel was most easily opened when force was applied predominantly on the cytoplasmic side of MscL. Comparison of simulations in which gating progressed to varying degrees identified residues that pose steric hindrance to channel opening.     

Comparative molecular dynamics simulations of amphotericin B-cholesterol/ergosterol membrane channels

Amphotericin B (AmB) is a very effective anti-fungal polyene macrolide antibiotic whose usage is limited by its toxicity. Lack of a complete understanding of AmB's molecular mechanism has impeded attempts to design less toxic AmB derivatives. The antibiotic is known to interact with sterols present in the cell membrane to form ion channels that disrupt membrane function. The slightly higher affinity of AmB toward ergosterol (dominant sterol in fungal cells) than cholesterol (mammalian sterol) is regarded as the most essential factor on which antifungal chemotherapy is based. To study these differences at the molecular level, two realistic model membrane channels containing molecules of AmB, sterol (cholesterol or ergosterol), phospholipid, and water were studied by molecular dynamics (MD) simulations. Comparative analysis of the simulation data revealed that the sterol type has noticeable effect on the properties of AmB membrane channels. In addition to having a larger size, the AmB channel in the ergosterol-containing membrane has a more pronounced pattern of intermolecular hydrogen bonds. The interaction between the antibiotic and ergosterol is more specific than between the antibiotic and cholesterol. These observed differences suggest that the channel in the ergosterol-containing membrane is more stable and, due to its larger size, would have a higher ion conductance. These observations are in agreement with experiments.     

Thermostability of protein studied by molecular dynamics simulation

The thermostability of protein thermostable cathechol 2,3-dixoygenase (TC23O) has been studied by the parallel molecular dynamics simulations. By analysis of the exponent beta, which is related to the scattering spectrum and constant-pressure heat capacity Cp, we reveal the respective contribution of a specific residue 228 proline; a specific salt bridge, Lys188N-Glu291OE1; four ions; and a different water environment to the thermostability of TC23O. The dynamic transition temperature of the mutants, Pro228Ser and Glu291Gly of the TC23O, was decreased about 10 degrees C and 19 degrees C respectively. The displacement of the four ions had no significant effect on the thermostability of TC23O. Water affects the thermostability by influencing the changes of accessible conformation to a certain extent. All these results agree with the known experimental results.     

Cold-active enzymes studied by comparative molecular dynamics simulation

Enzymes from cold-adapted species are significantly more active at low temperatures, even those close to zero Celsius, but the rationale of this adaptation is complex and relatively poorly understood. It is commonly stated that there is a relationship between the flexibility of an enzyme and its catalytic activity at low temperature. This paper gives the results of a study using molecular dynamics simulations performed for five pairs of enzymes, each pair comprising a cold-active enzyme plus its mesophilic or thermophilic counterpart. The enzyme pairs included α-amylase, citrate synthase, malate dehydrogenase, alkaline protease and xylanase. Numerous sites with elevated flexibility were observed in all enzymes; however, differences in flexibilities were not striking. Nevertheless, amino acid residues common in both enzymes of a pair (not present in insertions of a structure alignment) are generally more flexible in the cold-active enzymes. The further application of principle component analysis to the protein dynamics revealed that there are differences in the rate and/or extent of opening and closing of the active sites. The results indicate that protein dynamics play an important role in catalytic processes where structural rearrangements, such as those required for active site access by substrate, are involved. They also support the notion that cold adaptation may have evolved by selective changes in regions of enzyme structure rather than in global change to the whole protein. Figure Collective motions in C^α atoms of the active site of cold-active xylanase Electronic supplementary material Supplementary material is available in the online version of this article at and is accessible for authorized users.     

Role of water on unfolding kinetics of helical peptides studied by molecular dynamics simulations

Molecular dynamics simulations have been carried out with four polypeptides, Ala13, Val(13), Ser13, and Ala4Gly5Ala4, in vacuo and with explicit hydration. The unfolding of the polypeptides, which are initially fully alpha-helix in conformation, has been monitored during trajectories of 0.3 ns at 350 K. A rank of Ala < Val < Ser < Gly is found in the order of increasing rate of unwinding. The unfolding of Ala13 and Val(13) is completed in hundreds of picoseconds, while that of Ser13 is about one order of magnitude faster. The helix content of the peptide containing glycine residues falls to zero within a few picoseconds. Ramachandran plots indicate quite distinct equilibrium distributions and time evolution of dihedral angles in water and in vacuum for each residue type. The unfolding of polyalanine and polyvaline helices is accelerated due to solvation. In contrast, polyserine is more stable in water compared to vacuum, because its side chains can form intramolecular hydrogen bonds with the backbone more readily in vacuum, which disrupts the helix. Distribution functions of the spatial and angular position of water molecules in the proximity of the polypeptide backbone polar groups reveal the stabilization of the coiled structures by hydration. The transition from helix to coil is characterized by the appearance of a new peak in the probability distribution at a specific location characteristic of hydrogen bond formation between water and backbone polar groups. No significant insertion of water molecules is observed at the precise onset of unwinding, while (i, i+3) hydrogen bond formation is frequently detected at the initiation of alpha-helix unwinding.     

Kinetics, statistics, and energetics of lipid membrane electroporation studied by molecular dynamics simulations

Membrane electroporation is the method to directly transfer bioactive substances such as drugs and genes into living cells, as well as preceding electrofusion. Although much information on the microscopic mechanism has been obtained both from experiment and simulation, the existence and nature of possible intermediates is still unclear. To elucidate intermediates of electropore formation by direct comparison with measured prepore formation kinetics, we have carried out 49 atomistic electroporation simulations on a palmitoyl-oleoyl-phosphatidylcholine bilayer for electric field strengths between 0.04 and 0.7 V/nm. A statistical theory is developed to facilitate direct comparison of experimental (macroscopic) prepore formation kinetics with the (single event) preporation times derived from the simulations, which also allows us to extract an effective number of lipids involved in each pore formation event. A linear dependency of the activation energy for prepore formation on the applied field is seen, with quantitative agreement between experiment and simulation. The distribution of preporation times suggests a four-state pore formation model. The model involves a first intermediate characterized by a differential tilt of the polar lipid headgroups on both leaflets, and a second intermediate (prepore), where a polar chain across the bilayer is formed by 3-4 lipid headgroups and several water molecules, thereby providing a microscopic explanation for the polarizable volume derived previously from the measured kinetics. An average pore radius of 0.47 ± 0.15 nm is seen, in favorable agreement with conductance measurements and electrooptical experiments of lipid vesicles.     

Brownian dynamics study of ion transport in the vestibule of membrane channels.

Brownian dynamics simulations have been carried out to study the transport of ions in a vestibular geometry, which offers a more realistic shape for membrane channels than cylindrical tubes. Specifically, we consider a torus-shaped channel, for which the analytical solution of Poisson's equation is possible. The system is composed of the toroidal channel, with length and radius of the constricted region of 80 A and 4 A, respectively, and two reservoirs containing 50 sodium ions and 50 chloride ions. The positions of each of these ions executing Brownian motion under the influence of a stochastic force and a systematic electric force are determined at discrete time steps of 50 fs for up to 2.5 ns. All of the systematic forces acting on an ion due to the other ions, an external electric field, fixed charges in the channel protein, and the image charges induced at the water-protein boundary are explicitly included in the calculations. We find that the repulsive dielectric force arising from the induced surface charges plays a dominant role in channel dynamics. It expels an ion from the vestibule when it is deliberately put in it. Even in the presence of an applied electric potential of 100 mV, an ion cannot overcome this repulsive force and permeate the channel. Only when dipoles of a favorable orientation are placed along the sides of the transmembrane segment can an ion traverse the channel under the influence of a membrane potential. When the strength of the dipoles is further increased, an ion becomes detained in a potential well, and the driving force provided by the applied field is not sufficient to drive the ion out of the well. The trajectory of an ion navigating across the channel mostly remains close to the central axis of the pore lumen. Finally, we discuss the implications of these findings for the transport of ions across the membrane.     

Exploring gas permeability of cellular membranes and membrane channels with molecular dynamics

Aquaporins are a family of membrane proteins specialized in rapid water conduction across biological membranes. Whether these channels also conduct gas molecules and the physiological significance of this potential function have not been well understood. Here we report 140 ns of molecular dynamics simulations of membrane-embedded AQP1 and of a pure POPE bilayer addressing these questions. The permeability of AQP1 to two types of gas molecules, O2 and CO2, was investigated using two complementary methods, namely, explicit gas diffusion simulation and implicit ligand sampling. The simulations show that the central (tetrameric) pore of AQP1 can be readily used by either gas molecule to permeate the channel. The two approaches produced similar free energy profiles associated with gas permeation through the central pore: a -0.4 to -1.7 kcal/mol energy well in the middle, and a 3.6-4.6 kcal/mol energy barrier in the periplasmic vestibule. The barrier appears to be mainly due to a dense cluster of water molecules anchored in the periplasmic mouth of the central pore by four aspartate residues. Water pores show a very low permeability to O2, but may contribute to the overall permeation of CO2 due to its more hydrophilic nature. Although the central pore of AQP1 is found to be gas permeable, the pure POPE bilayer provides a much larger cross-sectional area, thus exhibiting a much lower free energy barrier for CO2 and O2 permeation. As such, gas conduction through AQP1 may only be physiologically relevant either in membranes of low gas permeability, or in cells where a major fraction of the cellular membrane is occupied by AQPs.     

Aggregation of small peptides studied by molecular dynamics simulations

Peptides and proteins tend to aggregate under appropriate conditions. The amyloid fibrils that are ubiquitously found among these structures are associated with major human diseases like Alzheimer's disease, type II diabetes, and various prion diseases. Lately, it has been observed that even very short peptides like tetra and pentapeptides can form ordered amyloid structures. Here, we present aggregation studies of three such small polypeptide systems, namely, the two amyloidogenic peptides DFNKF and FF, and a control (nonamyloidogenic) one, the AGAIL. The respective aggregation process is studied by all-atom Molecular Dynamics simulations, which allow to shed light on the fine details of the association and aggregation process. Our analysis suggests that naturally aggregating systems exhibit significantly diverse overall cluster shape properties and specific intermolecular interactions. Additional analysis was also performed on the previously studied NFGAIL system.     

Lipid bilayer polypeptide interactions studied by molecular dynamics simulation

A model membrane with a polypeptide alpha-helix inserted has been simulated by molecular dynamics at a temperature well above the gel/liquid crystalline phase transition temperature. Order parameters of the lipids and other equilibrium and dynamic quantities have been calculated. Three systems, polyglycine constrained into an alphahelical configuration, glycophorin with similarly conformationally constrained backbone and finally glycophorin free to change its backbone conformation, have been studied. In all cases there was an ordering of the chains close to the helix. This effect was, however, much smaller for glycophorin with its rather bulky side chains than for polyglycine. The dynamics of the lipids were affected by the neighbouring helix, not drastically however. Lateral diffusion and reorientational time correlations of lipids close to the helix were slower than for the bulk ones, but not more than two or three times. Thus, we did not find any evidence of bound or frozen boundary lipids.     

Virus capsid dissolution studied by microsecond molecular dynamics simulations

Dissolution of many plant viruses is thought to start with swelling of the capsid caused by calcium removal following infection, but no high-resolution structures of swollen capsids exist. Here we have used microsecond all-atom molecular simulations to describe the dynamics of the capsid of satellite tobacco necrosis virus with and without the 92 structural calcium ions. The capsid expanded 2.5% upon removal of the calcium, in good agreement with experimental estimates. The water permeability of the native capsid was similar to that of a phospholipid membrane, but the permeability increased 10-fold after removing the calcium, predominantly between the 2-fold and 3-fold related subunits. The two calcium binding sites close to the icosahedral 3-fold symmetry axis were pivotal in the expansion and capsid-opening process, while the binding site on the 5-fold axis changed little structurally. These findings suggest that the dissociation of the capsid is initiated at the 3-fold axis.     

Acetylcholine receptor pore permeability studied by molecular dynamics simulation

A dynamic model of the closed-state pore of an acetylcholine receptor (five M2 α-helices stabilized with a (CH₂)₁₀₅ ring) is used to examine the migration of uncharged and charged probe particles equivalent to a hexahydrated sodium ion (van der Waals diameter 7.27 Å) propelled by varied external force along the channel axis. Ion movement through the pore is hindered by steric constraints and electrostatic interactions. The van der Waals gate is formed by helix residues 13′ (A-Val255, B-Val261, C-Val269, D-Val255, and E-Ile264), whereas the negatively charged residues in the upper part of the channel are important for ion selectivity.     

Ribonucleotide reductase inhibition by p-alkoxyphenols studied by molecular docking and molecular dynamics simulations

Ribonucleotide reductase (RNR) is necessary for production of the precursor deoxyribonucleotides for DNA synthesis. Class Ia RNR functions via a stable free radical in one of the two components protein R2. The enzyme mechanism involves long range (proton coupled) electron transfer between protein R1 and the tyrosyl radical in protein R2. Earlier experimental studies showed that p-alkoxyphenols inhibit RNR. Here, molecular docking and molecular dynamics simulations involving protein R2 suggest an inhibition mechanism for p-alkoxyphenols . A low energy binding pocket is identified in protein R2. The preferred configuration provides a structural basis explaining their specific binding to the Escherichia coli and mouse R2 proteins. Trp48 (E. coli numbering), on the electron transfer pathway, is involved in the interactions with the inhibitors. The relative order of the binding energies calculated for the phenol derivatives to protein R2 is correlated with earlier experimental data on inhibition efficiency, in turn related to increasing size of the hydrophobic alkyl substituents. Using the configuration identified by molecular docking as a starting point for molecular dynamics simulations, we find that the p-allyloxyphenol interrupts the catalytic electron transfer pathway of the R2 protein by forming hydrogen bonds with Trp48 and Asp237, thus explaining the inhibitory activity of p-alkoxyphenols.     

Molecular packing in 1-hexanol-DMPC bilayers studied by molecular dynamics simulation

The structure and molecular packing density of a "mismatched" solute, 1-hexanol, in lipid membranes of dimyristoyl phosphatidylcholine (DMPC) was studied by molecular dynamics simulations. We found that the average location and orientation of the hexanol molecules matched earlier experimental data on comparable systems. The local density or molecular packing in DMPC-hexanol was elucidated through the average Voronoi volumes of all heavy (non-hydrogen) atoms. Analogous analysis was conducted on trajectories from simulations of pure 1-hexanol and pure (hydrated) DMPC bilayers. The results suggested a positive volume change, DeltaV(m), of 4 cm(3) mol(-1) hexanol partitioned at 310 K in good accordance with experimental values. Analysis of the apparent volumes of each component in the pure and mixed states further showed that DeltaV(m) reflects a balance between a substantial increase in the packing density of the alcohol upon partitioning and an even stronger loosening in the packing of the lipid. Furthermore, analysis of Voronoi volumes along the membrane normal identifies a distinctive depth dependence of the changes in molecular packing. The outer (interfacial) part of the lipid acyl chains (up to C8) is stretched by about 4%. Concomitantly, the average lateral area per chain decreases and these two effects compensate so that the overall packing density in the outer region, where the hexanol molecules are located, remains practically constant. The core of the bilayer (C9-C13) is slightly thinned. The average lateral area per chain in this region expands, resulting in a looser packing density. The net effect in the core is a 2-3% decrease in density corresponding to a total volume increase of approximately 14 cm(3) mol(-1) hexanol partitioned.