Molecular dynamics simulations of water within models of ion channels.

The transbilayer pores formed by ion channel proteins contain extended columns of water molecules. The dynamic properties of such waters have been suggested to differ from those of water in its bulk state. Molecular dynamics simulations of ion channel models solvated within and at the mouths of their pores are used to investigate the dynamics and structure of intra-pore water. Three classes of channel model are investigated: a) parallel bundles of hydrophobic (Ala20) alpha-helices; b) eight-stranded hydrophobic (Ala10) antiparallel beta-barrels; and c) parallel bundles of amphipathic alpha-helices (namely, delta-toxin, alamethicin, and nicotinic acetylcholine receptor M2 helix). The self-diffusion coefficients of water molecules within the pores are reduced significantly relative to bulk water in all of the models. Water rotational reorientation rates are also reduced within the pores, particularly in those pores formed by alpha-helix bundles. In the narrowest pore (that of the Ala20 pentameric helix bundle) self-diffusion coefficients and reorientation rates of intra-pore waters are reduced by approximately an order of magnitude relative to bulk solvent. In Ala20 helix bundles the water dipoles orient antiparallel to the helix dipoles. Such dipole/dipole interaction between water and pore may explain how water-filled ion channels may be formed by hydrophobic helices. In the bundles of amphipathic helices the orientation of water dipoles is modulated by the presence of charged side chains. No preferential orientation of water dipoles relative to the pore axis is observed in the hydrophobic beta-barrel models.     

Electrostatics and the ion selectivity of ligand-gated channels.

The nicotinic acetylcholine receptor (nAChR) is a cation-selective ion channel that opens in response to acetylcholine binding. The related glycine receptor (GlyR) is anion selective. The pore-lining domain of each protein may be modeled as a bundle of five parallel M2 helices. Models of the pore-lining domains of homopentameric nAChR and GlyR have been used in continuum electrostatics calculations to probe the origins of ion selectivity. Calculated pKA values suggest that "rings" of acidic or basic side chains at the mouths of the nAChR or GlyR M2 helix bundles, respectively, may not be fully ionized. In particular, for the nAChR the ring of glutamate side chains at the extracellular mouth of the pore is predicted to be largely protonated at neutral pH, whereas those glutamate side chains in the intracellular and intermediate rings (at the opposite mouth of the pore) are predicted to be fully ionized. Inclusion of the other domains of each protein represented as an irregular cylindrical tube in which the M2 bundles are embedded suggests that both the M2 helices and the extramembrane domains play significant roles in determining ion selectivity.     

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.     

Interaction of transmembrane helices by a knobs-into-holes packing characteristic of soluble coiled coils

Membrane-embedded protein domains frequently exist as α-helical bundles, as exemplified by photosynthetic reaction centers, bacteriorhodopsin, and cytochrome C oxidase. The sidechain packing between their transmembrane helices was investigated by a nearest-neighbor analysis which identified sets of interfacial residues for each analyzed helix–helix interface. For the left-handed helix–helix pairs, the interfacial residues almost exclusively occupy positions a, d, e, or g within a heptad motif (abcdefg) which is repeated two to three times for each interacting helical surface. The connectivity between the interfacial residues of adjacent helices conforms to the knobs-into-holes type of sidechain packing known from soluble coiled coils. These results demonstrate on a quantitative basis that the geometry of sidechain packing is similar for left-handed helix–helix pairs embedded in membranes and coiled coils of soluble proteins. The transmembrane helix–helix interfaces studied are somewhat less compact and regular as compared to soluble coiled coils and tolerate all hydrophobic amino acid types to similar degrees. The results are discussed with respect to previous experimental findings which demonstrate that specific interactions between transmembrane helices are important for membrane protein folding and/or oligomerization. Proteins 31:150–159, 1998. © 1998 Wiley-Liss, Inc.     

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.     

Modulation of the conductance of a 2,2′-bipyridine-functionalized peptidic ion channel by Ni<Superscript>2+</Superscript>

An alpha-helical amphipathic peptide with the sequence H2N-(LSSLLSL)3-CONH2 was obtained by solid phase synthesis and a 2,2'-bipyridine was coupled to its N-terminus, which allows complexation of Ni2+. Complexation of the 2,2'-bipyridine residues was proven by UV/Vis spectroscopy. The peptide helices were inserted into lipid bilayers (nano black lipid membranes, nano-BLMs) that suspend the pores of porous alumina substrates with a pore diameter of 60 nm by applying a potential difference. From single channel recordings, we were able to distinguish four distinct conductance states, which we attribute to an increasing number of peptide helices participating in the conducting helix bundle. Addition of Ni2+ in micromolar concentrations altered the conductance behaviour of the formed ion channels in nano-BLMs considerably. The first two conductance states appear much more prominent demonstrating that the complexation of bipyridine by Ni2+ results in a considerable confinement of the observed multiple conductance states. However, the conductance levels were independent of the presence of Ni2+. Moreover, from a detailed analysis of the open lifetimes of the channels, we conclude that the complexation of Ni2+ diminishes the frequency of channel events with larger open times.     

Self-assembly of a simple membrane protein: coarse-grained molecular dynamics simulations of the influenza M2 channel

The transmembrane (TM) domain of the M2 channel protein from influenza A is a homotetrameric bundle of α-helices and provides a model system for computational approaches to self-assembly of membrane proteins. Coarse-grained molecular dynamics (CG-MD) simulations have been used to explore partitioning into a membrane of M2 TM helices during bilayer self-assembly from lipids. CG-MD is also used to explore tetramerization of preinserted M2 TM helices. The M2 helix monomer adopts a membrane spanning orientation in a lipid (DPPC) bilayer. Multiple extended CG-MD simulations (5 × 5 μs) were used to study the tetramerization of inserted M2 helices. The resultant tetramers were evaluated in terms of the most populated conformations and the dynamics of their interconversion. This analysis reveals that the M2 tetramer has 2× rotationally symmetrical packing of the helices. The helices form a left-handed bundle, with a helix tilt angle of ∼16°. The M2 helix bundle generated by CG-MD was converted to an atomistic model. Simulations of this model reveal that the bundle's stability depends on the assumed protonation state of the H37 side chains. These simulations alongside comparison with recent x-ray (3BKD) and NMR (2RLF) structures of the M2 bundle suggest that the model yielded by CG-MD may correspond to a closed state of the channel.     

Crystal structure of a designed, thermostable, heterotrimeric coiled coil

Electrostatic interactions are often critical for determining the specificity of protein-protein complexes. To study the role of electrostatic interactions for assembly of helical bundles, we previously designed a thermostable, heterotrimeric coiled coil, ABC, in which charged residues were employed to drive preferential association of three distinct, 34-residue helices. To investigate the basis for heterotrimer specificity, we have used multiwavelength anomalous diffraction (MAD) analysis to determine the 1.8 A resolution crystal structure of ABC. The structure shows that ABC forms a heterotrimeric coiled coil with the intended arrangement of parallel chains. Over half of the ion pairs engineered to restrict helix associations were apparent in the experimental electron density map. As seen in other trimeric coiled coils, ABC displays acute knobs-into-holes packing and a buried anion coordinated by core polar amino acids. These interactions validate the design strategy and illustrate how packing and polar contacts determine structural uniqueness.     

Seven-helix bundles: molecular modeling via restrained molecular dynamics.

Simulated annealing via restrained molecular dynamics (SA/MD) has been used to model compact bundles of seven approximately (anti)parallel alpha-helices. Seven such helix bundles occur, e.g., in bacteriorhodopsin, in rhodopsin, and in the channel-forming N-terminal domain of Bacillus thuringiensis delta-endotoxin. Two classes of model are considered: (a) those consisting of seven Ala20 peptide chains; and (b) those containing a single polypeptide chain, made up of seven Ala20 helices linked by GlyN interhelix loops (where N = 5 or 10). Three different starting C alpha templates for SA/MD are used, in which the seven helices are arranged (a) on a left-handed circular template, (b) on a bacteriorhodopsin-like template, or (c) on a zig-zag template. The ensembles of models generated by SA/MD are analyzed in terms of their geometry and energetics, and the most stable structures from each ensemble are examined in greater detail. Structures resembling bacteriorhodopsin and structures resembling delta-endotoxin are both represented among the most stable structures. delta-Endotoxin-like structures arise from both circular and bacteriorhodopsin-like C alpha templates. A third helix-packing mode occurs several times among the stable structures, regardless of the C alpha template and of the presence or absence of interhelix loops. It is characterized by a "4 + 1" core, in which four helices form a distorted left-handed supercoil around a central, buried helix. The remaining two helices pack onto the outside of the core. This packing mode is comparable with that proposed for rhodopsin on the basis of two-dimensional electron crystallographic and sequence analysis studies.     

The crystal structure of the designed trimeric coiled coil coil-VaLd: implications for engineering crystals and supramolecular assemblies.

The three-dimensional structure of the 29-residue designed coiled coil having the amino acid sequence acetyl-E VEALEKK VAALESK VQALEKK VEALEHG-amide has been determined and refined to a crystallographic R-factor of 21.4% for all data from 10-A to 2.1-A resolution. This molecule is called coil-VaLd because it contains valine in the a heptad positions and leucine in the d heptad positions. In the trigonal crystal, three molecules, related by a crystallographic threefold axis, form a parallel three-helix bundle. The bundles are stacked head-to-tail to form a continuous coiled coil along the c-direction of the crystal. The contacts among the three helices within the coiled coil are mainly hydrophobic: four layers of valine residues alternate with four layers of leucine residues to form the core of the bundle. In contrast, mostly hydrophilic contacts mediate the interaction between trimers: here a total of two direct protein--protein hydrogen bonds are found. Based on the structure, we propose a scheme for designing crystals of peptides containing continuous two-, three-, and four-stranded coiled coils.     

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).     

ATP synthase b subunit dimerization domain: a right-handed coiled coil with offset helices

The dimerization domain of Escherichia coli ATP synthase b subunit forms an atypical parallel two-stranded coiled coil. Sequence analysis reveals an 11-residue abcdefghijk repeat characteristic of right-handed coiled coils, but no other naturally occurring parallel dimeric structure of this class has been identified. The arrangement of the helices was studied by their propensity to form interhelix disulfide linkages and analysis of the stability and shape of disulfide-linked dimers. Disulfides formed preferentially between cysteine residues in an a position of one helix and either of the adjacent h positions of the partner. Such heterodimers were far more stable to thermal denaturation than homodimers and, on the basis of gel-filtration chromatography studies, were similar in shape to both non-covalent dimers and dimers linked through flexible Gly(1-3)Cys C-terminal extensions. The results indicate a right-handed coiled-coil structure with intrinsic asymmetry, the two helices being offset rather than in register. A function for the right-handed coiled coil in rotational catalysis is proposed.     

The tetramerization domain of the Mnt repressor consists of two right-handed coiled coils.

The tetrameric Mnt repressor is involved in the genetic switch between the lysogenic and lytic growth of Salmonella bacteriophage P22. The solution structure of its C-terminal tetramerization domain, which holds together the two dimeric DNA-binding domains, has been determined by NMR spectroscopy. This structure reveals an assembly of four alpha-helical subunits, consisting of a dimer of two antiparallel coiled coils with a unique right-handed twist. The superhelical winding is considerably stronger and the interhelical separation closer than those found in the well-known left-handed coiled coils in fibrous proteins and leucine zippers. An unusual asymmetry arises between the two monomers that comprise one right-handed coiled coil. A difference in the packing to the adjacent monomer of the other coiled coil occurs with an offset of two helical turns. The two asymmetric monomers within each coiled coil interconvert on a time scale of seconds. Both with respect to symmetry and handedness of helical packing, the C2 symmetric four-helix bundle of Mnt differs from other oligomerization domains that assemble DNA-binding modules, such as that in the tumor suppressor p53 and the E. coli lac repressor.     

QHELIX: A Computational Tool for the Improved Measurement of Inter-Helical Angles in Proteins

Knowledge about the assembled structures of the secondary elements in proteins is essential to understanding protein folding and functionality. In particular, the analysis of helix geometry is required to study helix packing with the rest of the protein and formation of super secondary structures, such as, coiled coils and helix bundles, formed by packing of two or more helices. Here we present an improved computational method, QHELIX, for the calculation of the orientation angles between helices. Since a large number of helices are known to be in curved shapes, an appropriate definition of helical axes is a prerequisite for calculating the orientation angle between helices. The present method provides a quantitative measure on the irregularity of helical shape, resulting in discriminating irregular-shaped helices from helices with an ideal geometry in a large-scale analysis of helix geometry. It is also capable of straightforwardly assigning the direction of orientation angles in a consistent way. These improvements will find applications in finding a new insight on the assembly of protein secondary structure. Electronic Supplementary Material The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

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.