Molecular dynamics simulations of ion channels formed by bundles of amphipathic α-helical peptides

Ion channels may be formed by self-assembly of amphipathic α-helical peptides into parallel helix bundles. The transbilayer pores formed by such peptides contain extended columns of water molecules, the properties of which may differ from those of water in its bulk state. The de novo designed peptides of DeGrado et al., which contain only leucine and serine residues, are considered as a simple example of such channels. Molecular dynamics simulations of peptide helix bundles with water molecules within and at the mouths of their pores are used to refine such models and to investigate the properties of intra-pore water. The translational and rotational mobility of water molecules within the pores are reduced relative to bulk water. Furthermore, intra-pore waters orient themselves with their dipoles anti-parallel to the helix dipoles, as do the hydroxyl groups of serine residues. Comparison of approximate predictions of ionic conductances with experimental values provides support for the validity of these models. Received: 23 April 1996 / Accepted: 7 August 1996     

The dielectric properties of water within model transbilayer pores.

Ion channels contain extended columns of water molecules within their transbilayer pores. The dynamic properties of such intrapore water have been shown to differ from those of water in its bulk state. In previous molecular dynamics simulations of two classes of model pore (parallel bundles of Ala20 alpha-helices and antiparallel barrels of Ala10 beta-strands), a substantially reduced translational and rotational mobility of waters was observed within the pore relative to bulk water. Molecular dynamics simulations in the presence of a transpore electrostatic field (i.e., a voltage drop along the pore axis) have been used to estimate the resultant polarization (due to reorientation) of the intrapore water, and hence to determine the local dielectric behavior within the pore. It is shown that the local dielectric constant of water within a pore is reduced for models formed by parallel alpha-helix bundles, but not by those formed by beta-barrels. This result is discussed in the context of electrostatics calculations of ion permeation through channels, and the effect of the local dielectric of water within a helix bundle pore is illustrated with a simple Poisson-Boltzmann calculation.     

Parallel helix bundles and ion channels: molecular modeling via simulated annealing and restrained molecular dynamics.

A parallel bundle of transmembrane (TM) alpha-helices surrounding a central pore is present in several classes of ion channel, including the nicotinic acetylcholine receptor (nAChR). We have modeled bundles of hydrophobic and of amphipathic helices using simulated annealing via restrained molecular dynamics. Bundles of Ala20 helices, with N = 4, 5, or 6 helices/bundle were generated. For all three N values the helices formed left-handed coiled coils, with pitches ranging from 160 A (N = 4) to 240 A (N = 6). Pore radius profiles revealed constrictions at residues 3, 6, 10, 13, and 17. A left-handed coiled coil and a similar pattern of pore constrictions were observed for N = 5 bundles of Leu20. In contrast, N = 5 bundles of Ile20 formed right-handed coiled coils, reflecting loosened packing of helices containing beta-branched side chains. Bundles formed by each of two classes of amphipathic helices were examined: (a) M2a, M2b, and M2c derived from sequences of M2 helices of nAChR; and (b) (LSSLLSL)3, a synthetic channel-forming peptide. Both classes of amphipathic helix formed left-handed coiled coils. For (LSSLLSL)3 the pitch of the coil increased as N increased from 4 to 6. The M2c N = 5 helix bundle is discussed in the context of possible models of the pore domain of nAChR.     

Bundles of amphipathic transmembrane alpha-helices as a structural motif for ion-conducting channel proteins: studies on sodium channels and acetylcholine receptors

Channel proteins are transmembrane symmetric (or pseudosymmetric) oligomers organized around a central ionic pore. We present here a molecular model of the pore forming structures of two channel proteins with different primary structures and oligomeric size: the voltage-sensitive sodium channel and the nicotinic cholinergic receptor. We report low-energy arrangements of alpha-helical bundles calculated by semiempiricial potential energy functions and optimization routines and further refined using molecular dynamics. The ion-conducting pore is considered to be a symmetric or pseudosymmetric homooligomer of 3-5 amphipathic alpha-helices arranged such that the polar residues line a central hydrophilic pathway and the apolar residues face the hydrophobic bilayer interior. The channel lining exposes either charged (Asp, Glu, Arg, Lys) or polar-neutral (Ser, Thr) residues. A bundle of four parallel helices constrained to C4 symmetry, the helix axis aligned with the symmetry axis, and the helices constrained to idealized dihedral angles, produces a structure with a pore of the size inferred for the sodium channel protein (area approximately 16 A2). Similarly, a pentameric array optimized with constraints to maintain C5 symmetry and backbone torsions characteristic of alpha-helices adopts a structure that appears well suited to form the lining of the nicotinic cholinergic receptor (pore area approximately 46 A2). Thus, bundles of amphipathic alpha-helices satisfy the structural, energetic, and dynamic requirements to be the molecular structural motif underlying the function of ionic channels.     

Exploring models of the influenza A M2 channel: MD simulations in a phospholipid bilayer

The M2 protein of influenza A virus forms homotetrameric helix bundles, which function as proton-selective channels. The native form of the protein is 97 residues long, although peptides representing the transmembrane section display ion channel activity, which (like the native channel) is blocked by the antiviral drug amantadine. As a small ion channel, M2 may provide useful insights into more complex channel systems. Models of tetrameric bundles of helices containing either 18 or 22 residues have been simulated while embedded in a fully hydrated 1-palmitoyl-2-oleoyl-sn-glycerol-3-phosphatidylcholine bilayer. Several different starting models have been used. These suggest that the simulation results, at least on a nanosecond time scale, are sensitive to the exact starting structure. Electrostatics calculations carried out on a ring of four ionizable aspartate residues at the N-terminal mouth of the channel suggest that at any one time, only one will be in a charged state. Helix bundle models were mostly stable over the duration of the simulation, and their helices remained tilted relative to the bilayer normal. The M2 helix bundles form closed channels that undergo breathing motions, alternating between a tetramer and a dimer-of-dimers structure. Under these conditions either the channel forms a pocket of trapped waters or it contains a column of waters broken predominantly at the C-terminal mouth of the pore. These waters exhibit restricted motion in the pore and are effectively "frozen" in a way similar to those seen in previous simulations of a proton channel formed by a four-helix bundle of a synthetic leucine-serine peptide (, Biophys. J. 77:2400-2410).     

Differentiation of lipid-associating helices by use of three-dimensional molecular hydrophobicity potential calculations.

Several types of lipid-associating helices exist: transmembrane helices such as in receptor proteins, pore-forming helices in ion channel proteins, fusion-inducing peptides in viral proteins, and amphipathic helices such as in plasma apolipoproteins. In order to propose a classification of these helices according to their molecular properties, we introduce the concept of molecular hydrophobicity potential for such helical segments. The calculation of this parameter for alpha-helices enables the visualization of the hydrophobic and hydrophilic envelopes around the peptide and their three-dimensional representation by molecular graphics. We have used this parameter to differentiate between pore-forming helices with a hydrophobic envelope larger than the hydrophilic component, membrane-spanning helices surrounded almost entirely by an hydrophobic envelope, fusiogenic peptides with an hydrophobicity gradient both around the helix and along the axis, and finally, amphipathic helices with a predominantly hydrophilic envelope. The structure of the lipid-protein complexes is determined by a number of different interactions: the hydrophobic interaction of the apolar faces of the helices with lipids, the polar interaction of the hydrophilic sides of different helices with each other, and the interaction of hydrophilic residues with the aqueous solvent. The relative magnitude of the hydrophobic and hydrophilic envelopes accounts for the differences in the structure of the lipid-protein complexes. Purely hydrophobic interactions stabilize transmembrane helical segments, while hydrophobic interactions with the lipid phase and with each other are involved in the stabilization of the pore-forming helices. In contrast, both hydrophobic interactions with the lipids and hydrophilic interactions with the aqueous phase contribute to the arrangement of amphipathic helices around the edges of the discoidal lipid-apoprotein complexes.     

Interactions of alpha-helices with lipid bilayers: a review of simulation studies

Membrane proteins, of which the majority seem to contain one or more alpha-helix, constitute approx. 30% of most genomes. A complete understanding of the nature of helix/bilayer interactions is necessary for an understanding of the structural principles underlying membrane proteins. This review describes computer simulation studies of helix/bilayer interactions. Key experimental studies of the interactions of alpha-helices and lipid bilayers are briefly reviewed. Surface associated helices are found in some membrane-bound enzymes (e.g. prostaglandin synthase), and as stages in the mechanisms of antimicrobial peptides and of pore-forming bacterial toxins. Transmembrane alpha-helices are found in most integral membrane proteins, and also in channels formed by amphipathic peptides or by bacterial toxins. Mean field simulations, in which the lipid bilayer is approximated as a hydrophobic continuum, have been used in studies of membrane-active peptides (e.g. alamethicin, melittin, magainin and dermaseptin) and of simple membrane proteins (e.g. phage Pf1 coat protein). All atom molecular dynamics simulations of fully solvated bilayers with transmembrane helices have been applied to: the constituent helices of bacteriorhodopsin; peptide-16 (a simple model TM helix); and a number of pore-lining helices from ion channels. Surface associated helices (e.g. melittin and dermaseptin) have been simulated, as have alpha-helical bundles such as bacteriorhodopsin and alamethicin. From comparison of the results from the two classes of simulation, it emerges that a major theoretical challenge is to exploit the results of all atom simulations in order to improve the mean field approach.     

An alamethicin channel in a lipid bilayer: molecular dynamics simulations

We present the results of 2-ns molecular dynamics (MD) simulations of a hexameric bundle of Alm helices in a 1-palmitoyl-2-oleoylphosphatidylcholine bilayer. These simulations explore the dynamic properties of a model of a helix bundle channel in a complete phospholipid bilayer in an aqueous environment. We explore the stability and conformational dynamics of the bundle in a phospholipid bilayer. We also investigate the effect on bundle stability of the ionization state of the ring of Glu18 side chains. If all of the Glu18 side chains are ionised, the bundle is unstable; if none of the Glu18 side chains are ionized, the bundle is stable. pKA calculations suggest that either zero or one ionized Glu18 is present at neutral pH, correlating with the stable form of the helix bundle. The structural and dynamic properties of water in this model channel were examined. As in earlier in vacuo simulations (Breed et al., 1996 .Biophys. J. 70:1643-1661), the dipole moments of water molecules within the pore were aligned antiparallel to the helix dipoles. This contributes to the stability of the helix bundle.     

Amphipathic alpha-helices in proteins: results from analysis of protein structures

Amphipathic alpha-helices play a crucial role in mediating the interaction of peptides and proteins with membranes. We have analyzed protein structures for the occurrence of 18-residue amphipathic helices. We find several of these alpha-helices having average hydrophobic moments and average hydrophobicities that would favor their interaction with membranes. We have analyzed the distribution of net charge, helix length, normalized frequency of occurrence, and propensities of the 20 amino acids in the delineated 18-residue helices. We have observed distinct differences in the frequencies of occurrence of polar and hydrophobic amino acids at positions 1-18 in amphipathic and nonamphipathic helices. There are also differences in propensities of the 20 amino acids to occur at positions 1-18 of amphipathic and nonamphipathic helices. Synthetic peptides corresponding to some of these surface-seeking helices do possess antibacterial and/or hemolytic activities. Knowledge of the distribution of charges in 18-residue surface-seeking amphipathic alpha-helices, as well as propensity of occurrence of amino acids at various positions, would be useful inputs in the de novo design of amphipathic peptides.     

Proline residues in transmembrane helices of channel and transport proteins: a molecular modelling study.

Proline residues are commonly found in putative transbilayer helices of many integral membrane proteins which act as transporters, channels and receptors. Intramembranous prolines are often conserved between homologous proteins. It has been suggested that such intrahelical prolines provide liganding sites for cations via exposure of the backbone carbonyl oxygen atoms of residues i-3 and i-4 (relative to the proline). Molecular modelling studies have been carried out to evaluate this proposal. Bundles of parallel proline-kinked helices are considered as simplified models of ion channels. The energetics of K+ ion-helix bundle interactions are explored. It is shown that carbonyl oxygens exposed by the proline-induced kink and at the C-terminus of the helices may provide cation-liganding sites. 'Hybrid' bundles of antiparallel helices, only some of which contain proline residues, are considered as models of transport proteins. Again, proline-exposed carbonyl oxygens are shown to be capable of liganding cations. The roles of alpha-helix dipoles and of the geometry of helix packing are considered in relation to cation-bundle interactions. Implications with respect to modelling of ion channel and transport proteins are discussed.     

A structural model of the acetylcholine receptor channel based on partition energy and helix packing calculations.

A structural model of the transmembrane portion of the acetylcholine receptor was developed from sequences of all its subunits by using transfer energy calculations to locate transmembrane alpha-helices and to calculate which helical side chains should be in contact with water inside the channel, with portions of other transmembrane helices, or with lipid hydrocarbon chains. "Knobs-into-holes" side chain packing calculations were used with other factors to stack the transmembrane alpha-helices together. In the model each subunit has the following structures in order along the sequence from the NH2 terminus: a large extracellular domain of undetermined structure, a short apolar alpha-helix that lies on the extracellular lipid surface of the membrane; three apolar transmembrane alpha-helices (I, II, and III), a cytoplasmic domain of undetermined structure, an amphipathic transmembrane alpha-helix (L) that forms the channel lining, a short extracellular alpha-helix, another apolar transmembrane alpha-helix (IV), and a small cytoplasmic domain formed by the COOH-terminal end of the chain. Three concentric layers form the pore. A bundle of five amphipathic L helices forms the channel lining. This bundle is surrounded by a bundle of 10 alternating II and III helices. Helices I and IV cover portions of the outer surface of the bundle formed by helices II and III. Positions of disulfide bridges are predicted and a mechanism for opening and closing conformational changes is proposed that requires tilting transmembrane helices and possibly a thiol-disulfide interchange reaction.     

Molecular Dynamics Simulations of Homo-oligomeric Bundles Embedded Within a Lipid Bilayer

Using molecular dynamics simulations, we studied the structure, interhelix interactions, and dynamics of transmembrane proteins. Specifically, we investigated homooligomeric helical bundle systems consisting of synthetic α-helices with either the sequence Ac-(LSLLLSL)₃-NH₂ (LS2) or Ac-(LSSLLSL)₃-NH₂ (LS3). The LS2 and LS3 helical peptides are designed to have amphipathic characteristics that form ion channels in membrane. We simulated bundles containing one to six peptides that were embedded in palmitoyl-oleoyl-phosphatidylcholine (POPC) lipid bilayer and placed between two lamellae of water. We aim to provide a fundamental understanding of how amphipathic helical peptides interact with each other and their dynamical behaviors in different homooligomeric states. To understand structural properties, we examined the helix lengths, tilt angles of individual helices and the entire bundle, interhelix distances, interhelix cross-angles, helix hydrophobic-to-hydrophilic vector projections, and the average number of interhelix hydrophilic (serine–serine) contacts lining the pore of the transmembrane channel. To analyze dynamical properties, we calculated the rotational autocorrelation function of each helix and the cross-correlation of the rotational velocity between adjacent helices. The observed structural and dynamical characteristics show that higher order bundles containing four to six peptides are composed of multiple lower order bundles of one to three peptides. For example, the LS2 channel was found to be stable in a tetrameric bundle composed of a “dimer of dimers.” In addition, we observed that there is a minimum of two strong hydrophilic contacts between a pair of adjacent helices in the dimer to tetramer systems and only one strong hydrophilic interhelix contact in helix pairs of the pentamer and hexamer systems. We believe these results are general and can be applied to more complex ion channels, providing insight into ion channel stability and assembly.     

Molecular Dynamics Simulations of Homo-oligomeric Bundles Embedded Within a Lipid Bilayer

Using molecular dynamics simulations, we studied the structure, interhelix interactions, and dynamics of transmembrane proteins. Specifically, we investigated homooligomeric helical bundle systems consisting of synthetic α-helices with either the sequence Ac-(LSLLLSL)₃-NH₂ (LS2) or Ac-(LSSLLSL)₃-NH₂ (LS3). The LS2 and LS3 helical peptides are designed to have amphipathic characteristics that form ion channels in membrane. We simulated bundles containing one to six peptides that were embedded in palmitoyl-oleoyl-phosphatidylcholine (POPC) lipid bilayer and placed between two lamellae of water. We aim to provide a fundamental understanding of how amphipathic helical peptides interact with each other and their dynamical behaviors in different homooligomeric states. To understand structural properties, we examined the helix lengths, tilt angles of individual helices and the entire bundle, interhelix distances, interhelix cross-angles, helix hydrophobic-to-hydrophilic vector projections, and the average number of interhelix hydrophilic (serine–serine) contacts lining the pore of the transmembrane channel. To analyze dynamical properties, we calculated the rotational autocorrelation function of each helix and the cross-correlation of the rotational velocity between adjacent helices. The observed structural and dynamical characteristics show that higher order bundles containing four to six peptides are composed of multiple lower order bundles of one to three peptides. For example, the LS2 channel was found to be stable in a tetrameric bundle composed of a “dimer of dimers.” In addition, we observed that there is a minimum of two strong hydrophilic contacts between a pair of adjacent helices in the dimer to tetramer systems and only one strong hydrophilic interhelix contact in helix pairs of the pentamer and hexamer systems. We believe these results are general and can be applied to more complex ion channels, providing insight into ion channel stability and assembly.     

Packed protein bilayers in the 0.90 A resolution structure of a designed alpha helical bundle.

A 12-residue peptide designed to form an alpha-helix and self-associate into an antiparallel 4-alpha-helical bundle yields a 0.9 A crystal structure revealing unanticipated features. The structure was determined by direct phasing with the "Shake-and-Bake" program, and contains four crystallographically distinct 12-mer peptide molecules plus solvent for a total of 479 atoms. The crystal is formed from nearly ideal alpha-helices hydrogen bonded head-to-tail into columns, which in turn pack side-by-side into sheets spanning the width of the crystal. Within each sheet, the alpha-helices run antiparallel and are closely spaced (9-10 A center-to-center). The sheets are more loosely packed against each other (13-14 A between helix centers). Each sheet is amphiphilic: apolar leucine side chains project from one face, charged lysine and glutamate side chains from the other face. The sheets are stacked with two polar faces opposing and two apolar faces opposing. The result is a periodic biomaterial composed of packed protein bilayers, with alternating polar and apolar interfaces. All of the 30 water molecules in the unit cell lie in the polar interface or between the stacked termini of helices. A section through the sheet reveals that the helices packed at the apolar interface resemble the four-alpha-helical bundle of the design, but the helices overhang parts of the adjacent bundles, and the helix crossing angles are less steep than intended (7-11 degrees rather than 18 degrees).     

Molecular dynamics study of water and Na+ ions in models of the pore region of the nicotinic acetylcholine receptor.

The nicotinic acetylcholine receptor (nAChR) is an integral membrane protein that forms ligand-gated and cation-selective channels. The central pore is lined by a bundle of five approximately parallel M2 helices, one from each subunit. Candidate model structures of the solvated pore region of a homopentameric (alpha7)5 nAChR channel in the open state, and in two possible forms of the closed state, have been studied using molecular dynamics simulations with restraining potentials. It is found that the mobility of the water is substantially lower within the pore than in bulk, and the water molecules become aligned with the M2 helix dipoles. Hydrogen-bonding patterns in the pore, especially around pore-lining charged and hydrophilic residues, and around exposed regions of the helix backbone, have been determined. Initial studies of systems containing both water and sodium ions together within the pore region have also been conducted. A sodium ion has been introduced into the solvated models at various points along the pore axis and its energy profile evaluated. It is found that the ion causes only a local perturbation of the water structure. The results of these calculations have been used to examine the effectiveness of the central ring of leucines as a component of a gate in the closed-channel model.     

Transmembrane domains of viral ion channel proteins: a molecular dynamics simulation study

Nanosecond molecular dynamics simulations in a fully solvated phospholipid bilayer have been performed on single transmembrane alpha-helices from three putative ion channel proteins encoded by viruses: NB (from influenza B), CM2 (from influenza C), and Vpu (from HIV-1). alpha-Helix stability is maintained within a core region of ca. 28 residues for each protein. Helix perturbations are due either to unfavorable interactions of hydrophobic residues with the lipid headgroups or to the need of the termini of short helices to extend into the surrounding interfacial environment in order to form H-bonds. The requirement of both ends of a helix to form favorable interactions with lipid headgroups and/or water may also lead to tilting and/or kinking of a transmembrane alpha-helix. Residues that are generally viewed as poor helix formers in aqueous solution (e.g., Gly, Ile, Val) do not destabilize helices, if located within a helix that spans a lipid bilayer. However, helix/bilayer mismatch such that a helix ends abruptly within the bilayer core destabilizes the end of the helix, especially in the presence of Gly and Ala residues. Hydrogen bonding of polar side-chains with the peptide backbone and with one another occurs when such residues are present within the bilayer core, thus minimizing the energetic cost of burying such side-chains.     

Toward elucidating the membrane topology of helix two of the colicin E1 channel domain

The membrane-bound closed state of the colicin E1 channel domain was investigated by site-directed fluorescence labeling using a bimane fluorophore attached to each single cysteine residue within helix 2 of each mutant protein. The fluorescence properties of the bimane fluorophore were measured for the membrane-associated form of the closed channel and included fluorescence emission maximum, fluorescence anisotropy, apparent polarity, surface accessibility, and membrane bilayer penetration depth. The fluorescence data show that helix 2 is an amphipathic alpha-helix that is situated parallel to the membrane surface, but it is less deeply embedded within the bilayer interfacial region than is helix 1 in the closed channel. A least squares fit of the various data sets to a harmonic wave function indicated that the periodicity and angular frequency for helix 2 in the membrane-bound state are typical for an amphipathic alpha-helix (3.8 +/- 0.1 residues per turn and 94 +/- 4 degrees, respectively) that is located at an interfacial region of a membrane bilayer. Dual quencher analysis also revealed that helix 2 is peripherally membrane associated, with one face of the helix dipping into the interfacial region of the lipid bilayer and the other face projecting outwardly into the aqueous solvent. Finally, our data show that helices 1 and 2 remain independent helices upon membrane association with a short connector link (Tyr(363)-Gly(364)) and that short amphipathic alpha-helices participate in the formation of a lipid-dependent, toroidal pore for this colicin.     

Cysteine-scanning mutagenesis of transmembrane segment 7 of the GLUT1 glucose transporter

The human erythrocyte facilitative glucose transporter (Glut1) is predicted to contain 12 transmembrane spanning alpha-helices based upon hydropathy plot analysis of the primary sequence. Five of these helices (3, 5, 7, 8, and 11) are capable of forming amphipathic structures. A model of GLUT1 tertiary structure has therefore been proposed in which the hydrophilic faces of several amphipathic helices are arranged to form a central aqueous channel through which glucose traverses the hydrophobic lipid bilayer. In order to test this model, we individually mutated each of the amino acid residues in transmembrane segment 7 to cysteine in an engineered GLUT1 molecule devoid of all native cysteines (C-less). Measurement of 2-deoxyglucose uptake in a Xenopus oocyte expression system revealed that nearly all of these mutants retain measurable transport activity. Over one-half of the cysteine mutants had significantly reduced specific activity relative to the C-less protein. The solvent accessibility and relative orientation of the residues within the helix was investigated by determining the sensitivity of the mutant transporters to inhibition by the sulfhydryl directed reagent p-chloromercuribenzene sulfonate (pCMBS). Cysteine replacement at six positions (Gln(282), Gln(283), Ile(287), Ala(289), Val(290), and Phe(291)), all near the exofacial side of the cell membrane, produced transporters that were inhibited by incubation with extracellular pCMBS. Residues predicted to be near the cytoplasmic side of the cell membrane were minimally affected by pCMBS. These data demonstrate that the exofacial portion of transmembrane segment 7 is accessible to the external solvent and provide evidence for the positioning of this alpha-helix within the glucose permeation pathway.     

Modeling the ion channel structure of cecropin.

Atomic-scale computer models were developed for how cecropin peptides may assemble in membranes to form two types of ion channels. The models are based on experimental data and physiochemical principles. Initially, cecropin peptides, in a helix-bend-helix motif, were arranged as antiparallel dimers to position conserved residues of adjacent monomers in contact. The dimers were postulated to bind to the membrane with the NH2-terminal helices sunken into the head-group layer and the COOH-terminal helices spanning the hydrophobic core. This causes a thinning of the top lipid layer of the membrane. A collection of the membrane bound dimers were then used to form the type I channel structure, with the pore formed by the transmembrane COOH-terminal helices. Type I channels were then assembled into a hexagonal lattice to explain the large number of peptides that bind to the bacterium. A concerted conformational change of a type I channel leads to the larger type II channel, in which the pore is formed by the NH2-terminal helices. By having the dimers move together, the NH2-terminal helices are inserted into the hydrophobic core without having to desolvate the charged residues. It is also shown how this could bring lipid head-groups into the pore lining.