Filter flexibility in a mammalian K channel: models and simulations of Kir6.2 mutants

The single-channel conductance varies significantly between different members of the inward rectifier (Kir) family of potassium channels. Mutations at three sites in Kir6.2 have been shown to produce channels with reduced single-channel conductance, the largest reduction (to 40% of wild-type) being for V127T. We have used homology modeling (based on a KcsA template) combined with molecular dynamics simulations in a phosphatidycholine bilayer to explore whether changes in structural dynamics of the filter were induced by three such mutations: V127T, M137C, and G135F. Overall, 12 simulations of Kir6.2 models, corresponding to a total simulation time of 27 ns, have been performed. In these simulations we focused on distortions of the selectivity filter, and on the presence/absence of water molecules lying behind the filter, which form interactions with the filter and the remainder of the protein. Relative to the wild-type simulation, the V127T mutant showed significant distortion of the filter such that approximately 50% of the simulation time was spent in a closed conformation. While in this conformation, translocation of K(+) ions between sites S1 and S2 was blocked. The distorted filter conformation resembles that of the bacterial channel KcsA when crystallized in the presence of a low [K(+)]. This suggests filter distortion may be a possible general model for determining the conductance of K channels.     

Filter flexibility and distortion in a bacterial inward rectifier K+ channel: simulation studies of KirBac1.1

The bacterial channel KirBac1.1 provides a structural homolog of mammalian inward rectifier potassium (Kir) channels. The conformational dynamics of the selectivity filter of Kir channels are of some interest in the context of possible permeation and gating mechanisms for this channel. Molecular dynamics simulations of KirBac have been performed on a 10-ns timescale, i.e., comparable to that of ion permeation. The results of five simulations (total simulation time 50 ns) based on three different initial ion configurations and two different model membranes are reported. These simulation data provide evidence for limited (<0.1 nm) filter flexibility during the concerted motion of ions and water molecules within the filter, such local changes in conformation occurring on an approximately 1-ns timescale. In the absence of K(+) ions, the KirBac selectivity filter undergoes more substantial distortions. These resemble those seen in comparable simulations of other channels (e.g., KcsA and KcsA-based homology models) and are likely to lead to functional closure of the channel. This suggests filter distortions may provide a mechanism of K-channel gating in addition to changes in the hydrophobic gate formed at the intracellular crossing point of the M2 helices. The simulation data also provide evidence for interactions of the "slide" (pre-M1) helix of KirBac with phospholipid headgroups.     

Potassium channel, ions, and water: simulation studies based on the high resolution X-ray structure of KcsA

Interactions of Na(+), K(+), Rb(+), and Cs(+) ions within the selectivity filter of a potassium channel have been investigated via multiple molecular dynamics simulations (total simulation time, 48 ns) based on the high resolution structure of KcsA, embedded in a phospholipid bilayer. As in simulations based on a lower resolution structure of KcsA, concerted motions of ions and water within the filter are seen. Despite the use of a higher resolution structure and the inclusion of four buried water molecules thought to stabilize the filter, this region exhibits a significant degree of flexibility. In particular, pronounced distortion of filter occurs if no ions are present within it. The two most readily permeant ions, K(+) and Rb(+), are similar in their interactions with the selectivity filter. In contrast, Na(+) ions tend to distort the filter by binding to a ring of four carbonyl oxygens. The larger Cs(+) ions result in a small degree of expansion of the filter relative to the x-ray structure. Cs(+) ions also appear to interact differently with the gate region of the channel, showing some tendency to bind within a predominantly hydrophobic pocket. The four water molecules buried between the back of the selectivity filter and the remainder of the protein show comparable mobility to the surrounding protein and do not exchange with water molecules within the filter or the central cavity. A preliminary comparison of the use of particle mesh Ewald versus cutoff protocols for the treatment of long-range electrostatics suggests some difference in the kinetics of ion translocation within the filter.     

K(+) versus Na(+) ions in a K channel selectivity filter: a simulation study

Molecular dynamics simulations of a bacterial potassium channel (KcsA) embedded in a phospholipid bilayer reveal significant differences in interactions of the selectivity filter with K(+) compared with Na(+) ions. K(+) ions and water molecules within the filter undergo concerted single-file motion in which they translocate between adjacent sites within the filter on a nanosecond timescale. In contrast, Na(+) ions remain bound to sites within the filter and do not exhibit translocation on a nanosecond timescale. Furthermore, entry of a K(+) ion into the filter from the extracellular mouth is observed, whereas this does not occur for a Na(+) ion. Whereas K(+) ions prefer to sit within a cage of eight oxygen atoms of the filter, Na(+) ions prefer to interact with a ring of four oxygen atoms plus two water molecules. These differences in interactions in the selectivity filter may contribute to the selectivity of KcsA for K(+) ions (in addition to the differences in dehydration energy between K(+) and Na(+)) and the block of KcsA by internal Na(+) ions. In our simulations the selectivity filter exhibits significant flexibility in response to changes in ion/protein interactions, with a somewhat greater distortion induced by Na(+) than by K(+) ions.     

Molecular dynamics of the KcsA K(+) channel in a bilayer membrane

Molecular dynamics (MD) simulations of an atomic model of the KcsA K(+) channel embedded in an explicit dipalmitoylphosphatidylcholine (DPPC) phospholipid bilayer solvated by a 150 mM KCl aqueous salt solution are performed and analyzed. The model includes the KcsA K(+) channel, based on the recent crystallographic structure of, Science. 280:69-77), 112 DPPC, K(+) and Cl(-) ions, as well as over 6500 water molecules for a total of more than 40,000 atoms. Three K(+) ions are explicitly included in the pore. Two are positioned in the selectivity filter on the extracellular side and one in the large water-filled cavity. Different starting configurations of the ions and water molecules in the selectivity filter are considered, and MD trajectories are generated for more than 4 ns. The conformation of KcsA is very stable in all of the trajectories, with a global backbone root mean square (RMS) deviation of less than 1.9 A with respect to the crystallographic structure. The RMS atomic fluctuations of the residues surrounding the selectivity filter on the extracellular side of the channel are significantly lower than those on the intracellular side. The motion of the residues with aromatic side chains surrounding the selectivity filter (Trp(67), Trp(68), Tyr(78), and Tyr(82)) is anisotropic with the smallest RMS fluctuations in the direction parallel to the membrane plane. A concerted dynamic transition of the three K(+) ions in the pore is observed, during which the K(+) ion located initially in the cavity moves into the narrow part of the selectivity filter, while the other two K(+) ions move toward the extracellular side. A single water molecule is stabilized between each pair of ions during the transition, suggesting that each K(+) cation translocating through the narrow pore is accompanied by exactly one water molecule, in accord with streaming potential measurements (, Biophys. J. 55:367-371). The displacement of the ions is coupled with the structural fluctuations of Val(76) and Gly(77), in the selectivity filter, as well as the side chains of Glu(71), Asp(80), and Arg(89), near the extracellular side. Thus the mechanical response of the channel structure at distances as large as 10-20 A from the ions in the selectivity filter appears to play an important role in the concerted transition.     

Simulations of ion permeation through a potassium channel: molecular dynamics of KcsA in a phospholipid bilayer

Potassium channels enable K(+) ions to move passively across biological membranes. Multiple nanosecond-duration molecular dynamics simulations (total simulation time 5 ns) of a bacterial potassium channel (KcsA) embedded in a phospholipid bilayer reveal motions of ions, water, and protein. Comparison of simulations with and without K(+) ions indicate that the absence of ions destabilizes the structure of the selectivity filter. Within the selectivity filter, K(+) ions interact with the backbone (carbonyl) oxygens, and with the side-chain oxygen of T75. Concerted single-file motions of water molecules and K(+) ions within the selectivity filter of the channel occur on a 100-ps time scale. In a simulation with three K(+) ions (initially two in the filter and one in the cavity), the ion within the central cavity leaves the channel via its intracellular mouth after approximately 900 ps; within the cavity this ion interacts with the Ogamma atoms of two T107 side chains, revealing a favorable site within the otherwise hydrophobically lined cavity. Exit of this ion from the channel is enabled by a transient increase in the diameter of the intracellular mouth. Such "breathing" motions may form the molecular basis of channel gating.     

A computational study of ion binding and protonation states in the KcsA potassium channel

We report results from microscopic molecular dynamics and free energy perturbation simulations of the KcsA potassium channel based on its experimental atomic structure. Conformational properties of selected amino acid residues as well as equilibrium positions of K(+) ions inside the selectivity filter and the internal water cavity are examined. Positions three and four (counting from the extracellular site) in the experimental structure correspond to distinctly separate binding sites for K(+) ions inside the selectivity filter. The protonation states of Glu71 and Asp80, which are close to each other and to the selectivity filter, as well as K(+) binding energies are determined using free energy perturbation calculations. The Glu71 residue which is buried inside a protein cavity is found to be most stable in the neutral form while the solvent exposed Asp80 is ionized. The channel altogether exothermically binds up to three ions, where two of them are located inside the selectivity filter and one in the internal water cavity. Ion permeation mechanisms are discussed in relation to these results.     

Molecular dynamics simulations of inwardly rectifying (Kir) potassium channels: a comparative study

Inward rectifier potassium (Kir) channels regulate cell excitability and transport K+ ions across membranes. Homotetrameric models of three mammalian Kir channels (Kir1.1, Kir3.1, and Kir6.2) have been generated, using the KirBac3.1 transmembrane and rat Kir3.1 intracellular domain structures as templates. All three models have been explored by 10 ns molecular dynamics simulations in phospholipid bilayers. Analysis of the initial structures revealed conservation of potential lipid interaction residues (Trp/Tyr and Arg/Lys side chains near the lipid headgroup-water interfaces). Examination of the intracellular domains revealed key structural differences between Kir1.1 and Kir6.2 which may explain the difference in channel inhibition by ATP. The behavior of all three models in the MD simulations revealed that they have conformational stability similar to that seen for comparable simulations of, for example, structures derived from cryoelectron microscopy data. Local distortions of the selectivity filter were seen during the simulations, as observed in previous simulations of KirBac and in simulations and structures of KcsA. These may be related to filter gating of the channel. The intracellular hydrophobic gate does not undergo any substantial changes during the simulations and thus remains functionally closed. Analysis of lipid-protein interactions of the Kir models emphasizes the key role of the M0 (or "slide") helix which lies approximately parallel to the bilayer-water interface and forms a link between the transmembrane and intracellular domains of the channel.     

Absence of ion-binding affinity in the putatively inactivated low-[K+] structure of the KcsA potassium channel

Potassium channels are membrane proteins that selectively conduct K(+) across cellular membranes. The narrowest part of their pore, the selectivity filter, is responsible for distinguishing K(+) from Na(+), and can also act as a gate through a mechanism known as C-type inactivation. It has been proposed that a conformation of the KcsA channel obtained by crystallization in presence of low concentration of K(+) (PDB 1K4D) could correspond to the C-type inactivated state. Here, we show using molecular mechanics simulations that such conformation has little ion-binding affinity and that ions do not contribute to its stability. The simulations suggest that, in this conformation, the selectivity filter is mostly occupied by water molecules. Whether such ion-free state of the KcsA channel is physiologically accessible and representative of the inactivated state of eukaryotic channels remains unclear.     

Conformational dynamics of the ligand-binding domain of inward rectifier K channels as revealed by molecular dynamics simulations: toward an understanding of Kir channel gating

Inward rectifier (Kir) potassium channels are characterized by two transmembrane helices per subunit, plus an intracellular C-terminal domain that controls channel gating in response to changes in concentration of various ligands. Based on the crystal structure of the tetrameric C-terminal domain of Kir3.1, it is possible to build a homology model of the ATP-binding C-terminal domain of Kir6.2. Molecular dynamics simulations have been used to probe the dynamics of Kir C-terminal domains and to explore the relationship between their dynamics and possible mechanisms of channel gating. Multiple simulations, each of 10 ns duration, have been performed for Kir3.1 (crystal structure) and Kir6.2 (homology model), in both their monomeric and tetrameric forms. The Kir6.2 simulations were performed with and without bound ATP. The results of the simulations reveal comparable conformational stability for the crystal structure and the homology model. There is some decrease in conformational flexibility when comparing the monomers with the tetramers, corresponding mainly to the subunit interfaces in the tetramer. The beta-phosphate of ATP interacts with the side chain of K185 in the Kir6.2 model and simulations. The flexibility of the Kir6.2 tetramer is not changed greatly by the presence of bound ATP, other than in two loop regions. Principal components analysis of the simulated dynamics suggests loss of symmetry in both the Kir3.1 and Kir6.2 tetramers, consistent with "dimer-of-dimers" motion of subunits in C-terminal domains of the corresponding Kir channels. This is suggestive of a gating model in which a transition between exact tetrameric symmetry and dimer-of-dimers symmetry is associated with a change in transmembrane helix packing coupled to gating of the channel. Dimer-of-dimers motion of the C-terminal domain tetramer is also supported by coarse-grained (anisotropic network model) calculations. It is of interest that loss of exact rotational symmetry has also been suggested to play a role in gating in the bacterial Kir homolog, KirBac1.1, and in the nicotinic acetylcholine receptor channel.     

Sequence-function analysis of the K+-selective family of ion channels using a comprehensive alignment and the KcsA channel structure

Sequence-function analysis of K(+)-selective channels was carried out in the context of the 3.2 A crystal structure of a K(+) channel (KcsA) from Streptomyces lividans (Doyle et al., 1998). The first step was the construction of an alignment of a comprehensive set of K(+)-selective channel sequences forming the putative permeation path. This pathway consists of two transmembrane segments plus an extracellular linker. Included in the alignment are channels from the eight major classes of K(+)-selective channels from a wide variety of species, displaying varied rectification, gating, and activation properties. Segments of the alignment were assigned to structural motifs based on the KcsA structure. The alignment's accuracy was verified by two observations on these motifs: 1), the most variability is shown in the turret region, which functionally is strongly implicated in susceptibility to toxin binding; and 2), the selectivity filter and pore helix are the most highly conserved regions. This alignment combined with the KcsA structure was used to assess whether clusters of contiguous residues linked by hydrophobic or electrostatic interactions in KcsA are conserved in the K(+)-selective channel family. Analysis of sequence conservation patterns in the alignment suggests that a cluster of conserved residues is critical for determining the degree of K(+) selectivity. The alignment also supports the near-universality of the "glycine hinge" mechanism at the center of the inner helix for opening K channels. This mechanism has been suggested by the recent crystallization of a K channel in the open state. Further, the alignment reveals a second highly conserved glycine near the extracellular end of the inner helix, which may be important in minimizing deformation of the extracellular vestibule as the channel opens. These and other sequence-function relationships found in this analysis suggest that much of the permeation path architecture in KcsA is present in most K(+)-selective channels. Because of this finding, the alignment provides a robust starting point for homology modeling of the permeation paths of other K(+)-selective channel classes and elucidation of sequence-function relationships therein. To assay these applications, a homology model of the Shaker A channel permeation path was constructed using the alignment and KcsA as the template, and its structure evaluated in light of established structural criteria.     

Modeling permeation energetics in the KcsA potassium channel

The thermodynamics of cation permeation through the KcsA K(+) channel selectivity filter is studied from the perspective of a physically transparent semimicroscopic model using Monte Carlo free energy integration. The computational approach chosen permits dissection of the separate contributions to ionic stabilization arising from different parts of the channel (selectivity filter carbonyls, single-file water, cavity water, reaction field of bulk water, inner helices, ionizable residues). All features play important roles; their relative significance varies with the ion's position in the filter. The cavity appears to act as an electrostatic buffer, shielding filter ions from structural changes in the inner pore. The model exhibits K(+) vs. Na(+) selectivity, and roughly isoenergetic profiles for K(+) and Rb(+), and discriminates against Cs(+), all in agreement with experimental data. It also indicates that Ba(2+) and Na(+) compete effectively with permeant ions at a site near the boundary between the filter and the cavity, in the vicinity of the barium blocker site.     

The selectivity filter may act as the agonist-activated gate in the G protein-activated Kir3.1/Kir3.4 K+ channel

The Kir3.1/Kir3.4 channel is activated by Gbetagamma subunits released on binding of acetylcholine to the M2 muscarinic receptor. A mechanism of channel opening, similar to that for the KcsA and Shaker K+ channels, has been suggested that involves translocation of pore lining transmembrane helices and the opening of an intracellular gate at the "bundle crossing" region. However, in the present study, we show that an extracellular gate at the selectivity filter is critical for agonist activation of the Kir3.1/Kir3.4 channel. Increasing the flexibility of the selectivity filter, by disrupting a salt bridge that lies directly behind the filter, abolished both selectivity for K+ and agonist activation of the channel. Other mutations within the filter that altered selectivity also altered agonist activation. In contrast, mutations within the filter that did not affect selectivity had little if any effect on agonist activation. Interestingly, mutation of bulky side chain phenylalanine residues at the bundle crossing also altered both agonist activation and selectivity. These results demonstrate a significant correlation between agonist activation and selectivity, which is determined by the selectivity filter, and suggests, therefore, that the selectivity filter may act as the agonist-activated gate in the Kir3.1/Kir3.4 channel.     

A comparison between two prokaryotic potassium channels (KirBac1.1 and KcsA) in a molecular dynamics (MD) simulation study

The two potassium ion channels KirBac1.1 and KcsA are compared in a Molecular Dynamics (MD) simulation study. The location and motion of the potassium ions observed in the simulations are compared to those in the X-ray structures and previous simulations. In our simulations several of the crystallography resolved ion sites in KirBac1.1 are occupied by ions. In addition to this, two in KirBac1.1 unresolved sites where occupied by ions at sites that are in close correspondence to sites found in KcsA. There is every reason to believe that the conserved alignment of the selectivity filter in the potassium ion channel family corresponds to a very similar mechanism for ion transport across the filter. The gate residues, Phe146 in KirBac1.1 and Ala111 in KcsA acted in the simulations as effective barriers which never were passed by ions nor water molecules.     

K(+)/Na(+) selectivity of the KcsA potassium channel from microscopic free energy perturbation calculations

Microscopic molecular dynamics free energy perturbation calculations of the K(+)/Na(+) selectivity in the KcsA potassium channel, based on its experimental three-dimensional structure, are reported. The relative binding free energies for K(+) and Na(+) in the most relevant ion occupancy states of the four-site selectivity filter are calculated. The previously proposed mechanism for ion permeation through the KcsA channel is predicted, in agreement with available experimental data, to have a significant selectivity for K(+) over Na(+). The calculations also show that the individual 'binding site' selectivities are generally not additive and the doubly loaded states of the filter thus display cooperative effects. The only site that is not K(+) selective is that which is located at the entrance to the internal water cavity, suggesting the possibility that internal Na(+) could block outward currents.     

Kir4.1 K+ channels are regulated by external cations

The inwardly rectifying potassium channel (Kir), Kir4.1 mediates spatial K(+)-buffering in the CNS. In this process the channel is potentially exposed to a large range of extracellular K(+) concentrations ([K(+)]o). We found that Kir4.1 is regulated by K(+)o. Increased [K(+)]o leads to a slow (mins) increase in the whole-cell currents of Xenopus oocytes expressing Kir4.1. Conversely, removing K(+) from the bath solution results in a slow decrease of the currents. This regulation is not coupled to the pHi-sensitive gate of the channel, nor does it require the presence of K67, a residue necessary for K(+)o-dependent regulation of Kir1.1. The voltage-dependent blockers Cs(+) and Ba(2+) substitute for K(+) and prevent deactivation of the channel in the absence of K(+)o. Cs(+) blocks and regulates the channel with similar affinity, consistent with the regulatory sites being in the selectivity-filter of the channel. Although both Rb(+) and NH4(+) permeate Kir4.1, only Rb(+) is able to regulate the channel. We conclude that Kir4.1 is regulated by ions interacting with specific sites in the selectivity filter. Using a kinetic model of the permeation process we show the plausibility of the channel's sensing the extracellular ionic environment through changes in the selectivity occupancy pattern, and that it is feasible for an ion with the selectivity properties of NH4(+) to permeate the channel without inducing these changes.     

Hierarchical approach to predicting permeation in ion channels

A hierarchical computational strategy combining molecular modeling, electrostatics calculations, molecular dynamics, and Brownian dynamics simulations is developed and implemented to compute electrophysiologically measurable properties of the KcsA potassium channel. Models for a series of channels with different pore sizes are developed from the known x-ray structure, using insights into the gating conformational changes as suggested by a variety of published experiments. Information on the pH dependence of the channel gating is incorporated into the calculation of potential profiles for K(+) ions inside the channel, which are then combined with K(+) ion mobilities inside the channel, as computed by molecular dynamics simulations, to provide inputs into Brownian dynamics simulations for computing ion fluxes. The open model structure has a conductance of approximately 110 pS under symmetric 250 mM K(+) conditions, in reasonable agreement with experiments for the largest conducting substate. The dimensions of this channel are consistent with electrophysiologically determined size dependence of quaternary ammonium ion blocking from the intracellular end of this channel as well as with direct structural evidence that tetrabutylammonium ions can enter into the interior cavity of the channel. Realistic values of Ussing flux ratio exponents, distribution of ions within the channel, and shapes of the current-voltage and current-concentration curves are obtained. The Brownian dynamics calculations suggest passage of ions through the selectivity filter proceeds by a "knock-off" mechanism involving three ions, as has been previously inferred from functional and structural studies of barium ion blocking. These results suggest that the present calculations capture the essential nature of K(+) ion permeation in the KcsA channel and provide a proof-of-concept for the integrated microscopic/mesoscopic multitiered approach for predicting ion channel function from structure, which can be applied to other channel structures.     

Potassium and sodium ions in a potassium channel studied by molecular dynamics simulations

We have performed simulations of both a single potassium ion and a single sodium ion within the pore of the bacterial potassium channel KcsA. For both ions there is a dehydration energy barrier at the cytoplasmic mouth suggesting that the crystal structure is a closed conformation of the channel. There is a potential energy barrier for a sodium ion in the selectivity filter that is not seen for potassium. Radial distribution functions for both ions with the carbonyl oxygens of the selectivity filter indicate that sodium may interact more tightly with the filter than does potassium. This suggests that the key to the ion selectivity of KcsA is the greater dehydration energy of Na⁺ ions, and helps to explain the block of KcsA by internal Na⁺ ions.