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

In Silico Modeling of the α7 Nicotinic Acetylcholine Receptor: New Pharmacological Challenges Associated with Multiple Modes of Signaling

The α7 nicotinic acetylcholine receptor is a homopentameric ion-channel of the Cys-loop superfamily characterized by its low probability of opening, high calcium permeability, and rapid desensitization. The α7 receptor has been targeted for the treatment of the cognitive symptoms of schizophrenia, depression, and Alzheimer's disease, but it is also involved in inflammatory modulation as a part of the cholinergic anti-inflammatory pathway. Despite its functional importance, in silico studies of the α7 receptor cannot produce a general model explaining the structural features of receptor activation, nor predict the mode of action for various ligand classes. Two particular problems in modeling the α7 nAChR are the absence of a high-resolution structure and the presence of five potentially nonequivalent orthosteric ligand binding sites. There is wide variability regarding the templates used for homology modeling, types of ligands investigated, simulation methods, and simulation times. However, a systematic survey focusing on the methodological similarities and differences in modeling α7 has not been done. In this work, we make a critical analysis of the modeling literature of α7 nAChR by comparing the findings of computational studies with each other and with experimental studies under the main topics of structural studies, ligand binding studies, and comparisons with other nAChR. In light of our findings, we also summarize current problems in the field and make suggestions for future studies concerning modeling of the α7 receptor.

Blocking of the Nicotinic Acetylcholine Receptor Ion Channel by Chlorpromazine, a Noncompetitive Inhibitor: A Molecular Dynamics Simulation Study

A large series of pharmacological agents, distinct from the typical competitive antagonists, block in a noncompetitive manner the permeability response of the nicotinic acetylcholine receptor (nAChR) to the neurotransmitter acetylcholine. Taking the neuroleptic chlorpromazine (CPZ) as an example of such agents, the blocking mechanism of noncompetitive inhibitors to the ion channel pore of the nAChR has been explored at the atomic level using both conventional and steered molecular dynamics (MD) simulations. Repeated steered MD simulations have permitted calculation of the free energy (approximately 36 kJ/mol) of CPZ binding and identification of the optimal site in the region of the serine and leucine rings, at approximately 4 A from the pore entrance. Coulomb and the Lennard-Jones interactions between CPZ and the ion channel as well as the conformational fluctuations of CPZ were examined to assess the contribution of each to the binding of CPZ to the nAChR. The MD simulations disclose a dynamic interaction of CPZ binding to the nAChR ionic channel. The cationic ammonium head of CPZ forms strong hydrogen bonds with Glu262 (alpha), Asp268 (beta), Glu272 (beta), Ser276 (beta), Glu280 (delta), Gln271 (gamma), Glu275 (gamma), and Asn279 (gamma) nAChR residues. Finally, the conventional MD simulation of CPZ at its identified binding site demonstrates that the binding of CPZ not only blocks ion transport through the channel but also markedly inhibits the conformational transitions of the channel, necessary for nAChR to carry out its biological function.

Anomalous diffusivity and electric conductivity for low concentration electrolytes in nanopores

We apply equilibrium and nonequilibrium molecular dynamics simulations to study the dynamic properties of electrolytes in nanopores. The realistic primitive model and the restrictive primitive model widely used in the statistical mechanics of liquid-state theory are applied to model the electrolytes. The electrolytic ions are immersed in water, treated in this work as either a dielectric continuum ignoring the size of solvent molecules or a macroscopic dielectric continuum (polar property) plus neutral soft spheres, and the aqueous electrolyte is put in a confined space. To simulate a condition mimicking closely processes of practical interest and yet maintaining the simulation computationally manageable, we consider an infinitely long and uncharged cylindrical tube. The equilibrium property of the self-diffusion coefficient D and the nonequilibrium property of electric conductivity sigma are computed in terms of electrolyte concentration, particle size, and cylindrical pore radius. The simulation results for the continuum solvent restrictive primitive model and continuum solvent primitive model show normal behavior for D versus pore radius R at ionic concentration 0.1M -i.e., D decreases with decreasing R -display an R independence of D at a certain threshold concentration and undergo an anomalous increase in D with reducing R at a lower value 0.025 M. The mechanism of the anomaly at the ionic concentration 0.025 M was sought for and interpreted in this work to arise from the energetic and entropic factors. Our simulated data of sigma at this same concentration follow the same trend as D. To delve further into the transport properties, we perform simulation studies for the discrete solvent primitive model and make a detailed analysis of the characteristic of the ion radial density functions. Comparison of the latter functions with those in the continuum solvent primitive model sheds light on the simulated diffusion coefficient within the context of discrete solvent primitive model which is about two orders of magnitude less. This difference in D is naturally attributed to the solvent effect. Similar disparities were reported by others for the discrete and continuum restrictive primitive models.

Side-chain ionization states in a potassium channel

KcsA is a bacterial K+ channel that is gated by pH. Continuum dielectric calculations on the crystal structure of the channel protein embedded in a low dielectric slab suggest that side chains E71 and D80 of each subunit, which lie adjacent to the selectivity filter region of the channel, form a proton-sharing pair in which E71 is neutral (protonated) and D80 is negatively charged at pH 7. When K+ ions are introduced into the system at their crystallographic positions the pattern of proton sharing is altered. The largest perturbation is for a K+ ion at site S3, i.e., interacting with the carbonyls of T75 and V76. The presence of multiple K+ ions in the filter increases the probability of E71 being ionized and of D80 remaining neutral (i.e., protonated). The ionization states of the protein side chains influence the potential energy profile experienced by a K+ ion as it is translated along the pore axis. In particular, the ionization state of the E71-D80 proton-sharing pair modulates the shape of the potential profile in the vicinity of the selectivity filter. Such reciprocal effects of ion occupancy on side-chain ionization states, and of side-chain ionization states on ion potential energy profiles will complicate molecular dynamics simulations and related studies designed to calculate ion permeation energetics.

Examining the noncompetitive antagonist-binding site in the ion channel of the nicotinic acetylcholine receptor in the resting state

3-Trifluoromethyl-3-(m-[(125)I]iodophenyl)diazirine ([(125)I]TID) has been shown to be a potent noncompetitive antagonist (NCA) of the nicotinic acetylcholine receptor (AChR). Amino acids that contribute to the binding site for [(125)I]TID in the ion channel have been identified in both the resting and desensitized state of the AChR (White, B.H., and Cohen, J.B. (1992) J. Biol. Chem. 267, 15770-15783). To characterize further the structure of the NCA-binding site in the resting state channel, we have employed structural analogs of TID. The TID analogs were assessed by the following: 1) their ability to inhibit [(125)I]TID photoincorporation into the resting state channel; 2) the pattern, agonist sensitivity, and NCA inhibition of [(125)I]TID analog photoincorporation into AChR subunits. The addition of a primary alcohol group to TID has no demonstrable effect on the interaction of the compound with the resting state channel. However, conversion of the alcohol function to acetate, isobutyl acetate (TIDBIBA), or to trimethyl acetate leads to rightward shifts in the concentration-response curves for inhibition of [(125)I]TID photoincorporation into the AChR channel and a progressive reduction in the agonist sensitivity of [(125)I]TID analog photoincorporation into AChR subunits. Inhibition of [(125)I]TID analog photoincorporation by NCAs (e.g. tetracaine) as well as identification of the sites of [(125)I]TIDBIBA photoincorporation in the deltaM2 segment indicate a common binding locus for each TID analog. We conclude that relatively small additions to TID progressively reduce its ability to interact with the NCA site in the resting state channel. A model of the NCA site and resting state channel is presented.

Accelerated diffusion of Na+ in a hydrophobic region revealed by molecular dynamics simulations of a synthetic ion channel

To get insight into the significance of the hydrophobic lining on the ion permeation, we performed molecular dynamics simulations on a Na(+) permeation through a de novo synthetic hydrophobic channel. Electrophysiological study has suggested that the channel is formed from a tail-to-tail associated dimer of a cyclic octa-peptide coupled with hydrophobic acyl chains. The acyl chains line the channel pore while the cyclic peptide forms the channel entrance [Z. Qi, M. Sokabe, K. Donowaki, H. Ishida, Biophys. J. 76 (1999) 631]. Molecular dynamics simulation of water in the channel indicated that the inferred structure is physically reasonable [Z. Qi, M. Sokabe, Biophys. Chem. 71 (1998) 35]. In the present study, the potential energy profile of the Na(+) and the energy contributions from each component of the system at different positions along the channel axis were calculated. An energy well instead of a peak is located at the central hydrophobic cavity of the channel, due to its ability of accommodating at least five water molecules to hydrate the ion. Interestingly, the ion diffuses much faster in the hydrophobic acyl chain region, particularly in the central hydrophobic cavity, than it does in the peptide ring region and even surprisingly faster than that in the bulk phase. These results provide a physical basis for an idea that the hydrophobic lining of the K(+) channel [D.A. Doyle, J.M. Cabral, R.A. Pfuetzner, A. Kuo, J.M. Gulbis, S.L. Cohen, B.T. Chait, R. MacKinnon, Science 280 (1998) 69] plays an active role to facilitate the ion permeation through the channel pore.

Molecular dynamics study of the KcsA potassium channel

The structural, dynamical, and thermodynamic properties of a model potassium channel are studied using molecular dynamics simulations. We use the recently unveiled protein structure for the KcsA potassium channel from Streptomyces lividans. Total and free energy profiles of potassium and sodium ions reveal a considerable preference for the larger potassium ions. The selectivity of the channel arises from its ability to completely solvate the potassium ions, but not the smaller sodium ions. Self-diffusion of water within the narrow selectivity filter is found to be reduced by an order of magnitude from bulk levels, whereas the wider hydrophobic section of the pore maintains near-bulk self-diffusion. Simulations examining multiple ion configurations suggest a two-ion channel. Ion diffusion is found to be reduced to approximately 1/3 of bulk diffusion within the selectivity filter. The reduced ion mobility does not hinder the passage of ions, as permeation appears to be driven by Coulomb repulsion within this multiple ion channel.

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.

(In)validity of the constant field and constant currents assumptions in theories of ion transport

Constant electric fields and constant ion currents are often considered in theories of ion transport. Therefore, it is important to understand the validity of these helpful concepts. The constant field assumption requires that the charge density of permeant ions and flexible polar groups is virtually voltage independent. We present analytic relations that indicate the conditions under which the constant field approximation applies. Barrier models are frequently fitted to experimental current-voltage curves to describe ion transport. These models are based on three fundamental characteristics: a constant electric field, negligible concerted motions of ions inside the channel (an ion can enter only an empty site), and concentration-independent energy profiles. An analysis of those fundamental assumptions of barrier models shows that those approximations require large barriers because the electrostatic interaction is strong and has a long range. In the constant currents assumption, the current of each permeating ion species is considered to be constant throughout the channel; thus ion pairing is explicitly ignored. In inhomogeneous steady-state systems, the association rate constant determines the strength of ion pairing. Among permeable ions, however, the ion association rate constants are not small, according to modern diffusion-limited reaction rate theories. A mathematical formulation of a constant currents condition indicates that ion pairing very likely has an effect but does not dominate ion transport.

Exploration of the structural features defining the conduction properties of a synthetic ion channel

The finite-difference Poisson-Boltzmann methodology was applied to a series of parallel, alpha-helical bundle models of the designed ion channel peptide Ac-(LSSLLSL)3-CONH2. This method is able to fully describe the current-voltage curves for this channel and quantitatively explains their cation selectivity and rectification. We examined a series of energy-minimized models representing different aggregation states, side-chain rotamers, and helical rotations, as well as an ensemble of structures from a molecular dynamics trajectory. Potential energies were computed for single, permeating K+ and Cl- ions at a series of positions along a central pathway through the models. A variable-electric-field Nernst-Planck electrodiffusion model was used, with two adjustable parameters representing the diffusion coefficients of K+ and Cl- to scale the individual ion current magnitudes. The ability of a given DelPhi potential profile to fit the experimental data depended strongly on the magnitude of the desolvation of the permeating ion. Below a pore radius of 3.8 A, the predicted profiles showed large energy barriers, and the experimental data could be fit only with unrealistically high values for the K+ and Cl- diffusion coefficients. For pore radii above 3.8 A, the desolvation energies were 2kT or less. The electrostatic calculations were sensitive to positioning of the Ser side chains, with the best fits associated with maximum exposure of the Ser side-chain hydroxyls to the pore. The backbone component was shown to be the major source of asymmetry in the DelPhi potential profiles. Only two of the energy-minimized structures were able to explain the experimental data, whereas an average of the dynamics structures gave excellent agreement with experimental results. Thus this method provides a promising approach to prediction of current-voltage curves from three-dimensional structures of ion channel proteins.

Dynamic properties of Na+ ions in models of ion channels: a molecular dynamics study

We present simulation results for the effective diffusion coefficients of a sodium ion in a series of model ion channels of different diameters and hydrophobicities, including models of alamethicin, a leucine-serine peptide, and the M2 helix bundle of the nicotinic acetylcholine receptor. The diffusion coefficient, which in the simulations has a value of 0.15(2) A2ps-1 in bulk water, is found to be reduced to as little as 0.02(1) A2ps-1 in the narrower channels, and to about 0.10(5) A2ps-1 in wider channels such as the nicotinic acetylcholine receptor. It is anticipated that this work will be useful in connection with calculations of channel conductivity using such techniques as the Poisson-Nernst-Planck equation, Eyring rate theory, or Brownian dynamics.

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.

A distinct contribution of the delta subunit to acetylcholine receptor channel activation revealed by mutations of the M2 segment

Acetylcholine receptor (AChR) channels with proline (P) mutations in the putative pore-forming domain (at the 12' position of the M2 segment) were examined at the single-channel level. For all subunits (alpha, beta, epsilon, and delta), a 12'P mutation increased the open channel lifetime >5-fold. To facilitate the estimation of binding and gating rate constants, subunits with 12'P mutations were co-expressed with alpha subunits having a binding site mutation that slows channel opening (alphaD200N). In these AChRs, a 12'P mutation in epsilon or beta slowed the closing rate constant approximately 6-fold but had no effect on either the channel opening rate constant or the equilibrium dissociation constant for ACh (Kd). In contrast, a 12'P mutation in delta slowed the channel closing rate constant only approximately 2-fold and significantly increased both the channel opening rate constant and the Kd. Pairwise expression of 12'P subunits indicates that mutations in epsilon and beta act nearly independently, but one in delta reduces the effect of a homologous mutation in epsilon or beta. The results suggest that a 12'P mutation in epsilon and beta has mainly local effects, whereas one in delta has both local and distributed effects that influence both agonist binding and channel gating.

Modelling and simulation of ion channels: applications to the nicotinic acetylcholine receptor

Molecular dynamics simulations with experimentally derived restraints have been used to develop atomic models of M2 helix bundles forming the pore-lining domains of the nicotinic acetylcholine receptor and related ligand-gated ion channels. M2 helix bundles have been used in microscopic simulations of the dynamics and energetics of water and ions within an ion channel. Translational and rotational motion of water are restricted within the pore, and water dipoles are aligned relative to the pore axis by the surrounding helix dipoles. Potential energy profiles for translation of a Na+ ion along the pore suggest that the protein and water components of the interaction energy exert an opposing effect on the ion, resulting in a relatively flat profile which favors cation permeation. Empirical conductance calculations based on a pore radius profile suggest that the M2 helix model is consistent with a single channel conductance of ca. 50 pS. Continuum electrostatics calculations indicate that a ring of glutamate residues at the cytoplasmic mouth of the alpha 7 nicotinic receptor M2 helix bundle may not be fully ionized. A simplified model of the remainder of the channel protein when added to the M2 helix bundle plays a significant role in enhancing the ion selectivity of the channel.

Models and simulations of ion channels and related membrane proteins

The past year has seen major advances in our understanding of ion channels, resulting from molecular dynamics simulations and modelling studies. Simulations of gramicidin have revealed that proton conduction along a water wire is limited by the dynamics of water reorientation. Plausible models are now available for a number of other channels, including alamethicin, the influenza A virus M2 protein, and the pore domains of the nicotinic acetylcholine receptor and Kv channels. Molecular dynamics simulations and continuum calculations have revealed some of the subtleties of the interactions between transmembrane helices and their lipid bilayer environment.

Protein-water-ion interactions in a model of the pore domain of a potassium channel: a simulation study

A model of the selectivity filter of a voltage-gated K+ (Kv) channel formed by an eight-stranded beta-barrel is compared with physiological properties of the channel. Continuum electrostatic calculations suggest that only two of the eight Asp sidechains at the extracellular mouth of the pore will ionise. A ring of four Tyr sidechains forms the narrowest region of the pore. Molecular dynamic simulations of the potential energy of a K+ ion as translated along the model pore indicate that the two ionised Asp sidechains and the hydroxyl groups of the Tyr sidechains stabilise the partially desolvated ion as it passes through the narrowest region.

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.