Non-Equilibrium Dynamics Contribute to Ion Selectivity in the KcsA Channel

The ability of biological ion channels to conduct selected ions across cell membranes is critical for the survival of both animal and bacterial cells. Numerous investigations of ion selectivity have been conducted over more than 50 years, yet the mechanisms whereby the channels select certain ions and reject others are not well understood. Here we report a new application of Jarzynski’s Equality to investigate the mechanism of ion selectivity using non-equilibrium molecular dynamics simulations of Na⁺ and K⁺ ions moving through the KcsA channel. The simulations show that the selectivity filter of KcsA adapts and responds to the presence of the ions with structural rearrangements that are different for Na⁺ and K⁺. These structural rearrangements facilitate entry of K⁺ ions into the selectivity filter and permeation through the channel, and rejection of Na⁺ ions. A mechanistic model of ion selectivity by this channel based on the results of the simulations relates the structural rearrangement of the selectivity filter to the differential dehydration of ions and multiple-ion occupancy and describes a mechanism to efficiently select and conduct K⁺. Estimates of the K⁺/Na⁺ selectivity ratio and steady state ion conductance for KcsA from the simulations are in good quantitative agreement with experimental measurements. This model also accurately describes experimental observations of channel block by cytoplasmic Na⁺ ions, the “punch through” relief of channel block by cytoplasmic positive voltages, and is consistent with the knock-on mechanism of ion permeation.     

Quantum calculations on water in the KcsA channel cavity with permeant and non-permeant ions

Different ions in the pore of the KcsA channel behave differently, and we relate this to their solvation. We show that the selectivity is dependent, in part, on the solvation in the cavity (sometimes referred to as the vestibule, it is the region containing water molecules between the intracellular gate and the selectivity filter at the extracellular end of the pore). We have shown earlier that potassium is more dependent at the upper end of the cavity region on solvation by the threonines there, while sodium ion has more water molecules as ligands. In addition, sodium ion is placed asymmetrically, while potassium is nearly exactly symmetric with respect to the four-fold symmetry of the channel. We have now extended these calculations to rubidium and cesium ions, and find that rubidium solvation resembles that of potassium (and both are permeant ions), while cesium resembles sodium (and both are non-permeant), in terms of the geometry of up to eight hydrating, and four non-hydrating, water molecules. In each case, a maximum of 12 water molecules are relevant to the calculation. The placement of the water molecules in the two cases is essentially the same as found from the electron density in the X-ray structure of Zhou and MacKinnon. For Na⁺ and K⁺, we show that energy decreases from bulk to the cavity to the lowest position in the selectivity filter (accurate energy could not be calculated for the heavier ions). A separate calculation shows that fixing the Na⁺ ion at the position of the K⁺ minimum, followed by re-optimization produced a significantly modified system, not something that could be produced by thermal fluctuations. Moving the K⁺ into the Na⁺ position in the upper cavity led to a small increase in energy, ≈ 3 k_BT, but was accompanied by large shifts in the positions of hydrating waters, which would create a major kinetic barrier. Therefore, thermal fluctuations could not invalidate the conclusions of the main calculations.     

Conduction of Na+ and K+ through the NaK channel: molecular and Brownian dynamics studies

Conduction of ions through the NaK channel, with M0 helix removed, was studied using both Brownian dynamics and molecular dynamics. Brownian dynamics simulations predict that the truncated NaK has approximately a third of the conductance of the related KcsA K⁺ channel, is outwardly rectifying, and has a Michaelis-Menten current-concentration relationship. Current magnitude increases when the glutamine residue located near the intracellular gate is replaced with a glutamate residue. The channel is blocked by extracellular Ca²⁺. Molecular dynamics simulations show that, under the influence of a strong applied potential, both Na⁺ and K⁺ move across the selectivity filter, although conduction rates for Na⁺ ions are somewhat lower. The mechanism of conduction of Na⁺ differs significantly from that of K⁺ in that Na⁺ is preferentially coordinated by single planes of pore-lining carbonyl oxygens, instead of two planes as in the usual K⁺ binding sites. The water-containing filter pocket resulting from a single change in the selectivity filter sequence (compared to potassium channels) disrupts several of the planes of carbonyl oxygens, and thus reduces the filter's ability to discriminate against sodium.     

Ion–protein interactions of a potassium ion channel studied by attenuated total reflection Fourier transform infrared spectroscopy

An understanding of ion–protein interactions is key to a better understanding of the molecular mechanisms of proteins, such as enzymes, ion channels, and ion pumps. A potassium ion channel, KcsA, has been extensively studied in terms of ion selectivity. Alkali metal cations in the selectivity filter were visualized by X-ray crystallography. Infrared spectroscopy has an intrinsically higher structural sensitivity due to frequency changes in molecular vibrations interacting with different ions. In this review article, I attempt to summarize ion-exchange-induced differences in Fourier transform infrared spectroscopy, as applied to KcsA, to explain how this method can be utilized to study ion–protein interactions in the KcsA selectivity filter. A band at 1680 cm^?1 in the amide I region would be a marker band for the ion occupancy of K⁺, Rb⁺, and Cs⁺ in the filter. The band at 1627 cm^?1 observed in both Na⁺ and Li⁺ conditions suggests that the selectivity filter similarly interacts with these ions. In addition to the structural information, the results show that the titration of K⁺ ions provides quantitative information on the ion affinity of the selectivity filter.     

Comparative study of the energetics of ion permeation in Kv1.2 and KcsA potassium channels

Biological ion channels rely on a multi-ion transport mechanism for fast yet selective permeation of ions. The crystal structure of the KcsA potassium channel provided the first microscopic picture of this process. A similar mechanism is assumed to operate in all potassium channels, but the validity of this assumption has not been well investigated. Here, we examine the energetics of ion permeation in Shaker Kv1.2 and KcsA channels, which exemplify the six-transmembrane voltage-gated and two-transmembrane inward-rectifier channels. We study the feasibility of binding a third ion to the filter and the concerted motion of ions in the channel by constructing the potential of mean force for K⁺ ions in various configurations. For both channels, we find that a pair of K⁺ ions can move almost freely within the filter, but a relatively large free-energy barrier hinders the K⁺ ion from stepping outside the filter. We discuss the effect of the CMAP dihedral energy correction that was recently incorporated into the CHARMM force field on ion permeation dynamics.     

KcsA 通道对Na+、K+及Rb+离子选择性的统计热力学研究

钾离子的通透率至少比钠离子的通透率大10000倍,这个问题至今没有很好地解决.为了在分子水平阐释钾离子通道的选择性机制,以KcsA钾通道X射线衍射结构为基础,采用密度泛函理论计算了不同离子在离子通道中的位能.计算结果表明,Rb+离子具有与K+离子相类似的位能曲线,但是其在通透过程遇到的位垒要比K+离子的位垒高,因而所对应的通透率也就小于钾离子的通透率,而钠离子的的通透率仅仅是钾离子通透率的0.0067%.文中所涉及的系统仅仅包含269个原子,而用分子动力学虽然也可以得到相近的结果,但是它的系统大小为41 000个原子.     

Sodium permeability and sensitivity induced by mutations in the selectivity filter of the KcsA channel towards Kir channels

The bacterial potassium (K⁺) channel KcsA provides an attractive model system to study ion permeation behavior in a selective K⁺-channel. We changed residue at the N-terminal end of the selectivity filter of KcsA (T74V) to its counterpart in inwardly rectifying K⁺-channels (Kir). The tetramer was found to be stable as unmodified KcsA. Under symmetrical and asymmetrical conditions, Na⁺ increased the inward current in the virtual absence of K⁺ however outward currents were nearly abolished which could be recovered upon internal K⁺ addition. Na⁺ also drastically increased the channel open time either in the presence or virtual absence of K⁺. Furthermore, the T74V mutation decreased the internal Ba²⁺ affinity of the channel possibly by binding to a K⁺ site in the pore. In additional experiments, another point mutation V76I in T74V mutant was carried out thus the selectivity filter resembled more the selectivity filter of Kir channels. The mutant tetramer was converted into monomers as determined by conventional gel electrophoresis. However, native like gel electrophoresis, Trp fluorescence and acrylamide quenching experiments indicated that this mutant still formed a tetramer and apparently adopted similar folding properties as unmodified KcsA. Single-channel experiments further demonstrated that the channel was selective for K⁺ over Na⁺ as Na⁺ blocked channel currents. These data suggest that single point mutation T74V alters the selectivity filter and allows simultaneous occupancy and conduction of K⁺ and Na⁺ probably via ion–ion interaction in the pore. In contrast, both mutations (T74V and V76I) in the same molecule seem to reorganize the pore conformation which controls the overall stability of a selective K⁺-channel.     

K Conduction in the Selectivity Filter of Potassium Channels Is Monitored by the Charge Distribution along Their Sequence

Potassium channels display a high conservation of sequence of the selectivity filter (SF), yet nature has designed a variety of channels that present a wide range of absolute rates of K⁺ permeation. In KcsA, the structural archetype for K channels, under physiological concentrations, two K⁺ ions reside in the SF in configurations 1,3 (up state) and 2,4 (down state) and ion conduction is believed to follow a throughput cycle involving a transition between these states. Using free-energy calculations of KcsA, Kv1.2, and mutant channels, we show that this transition is characterized by a channel-dependent energy barrier. This barrier is strongly influenced by the charges partitioned along the sequence of each channel. These results unveil therefore how, for similar structures of the SF, the rate of K⁺ turnover may be fine-tuned within the family of potassium channels.     

Preferential binding of K+ ions in the selectivity filter at equilibrium explains high selectivity of K+ channels

K⁺ channels exhibit strong selectivity for K⁺ ions over Na⁺ ions based on electrophysiology experiments that measure ions competing for passage through the channel. During this conduction process, multiple ions interact within the region of the channel called the selectivity filter. Ion selectivity may arise from an equilibrium preference for K⁺ ions within the selectivity filter or from a kinetic mechanism whereby Na⁺ ions are precluded from entering the selectivity filter. Here, we measure the equilibrium affinity and selectivity of K⁺ and Na⁺ ions binding to two different K⁺ channels, KcsA and MthK, using isothermal titration calorimetry. Both channels exhibit a large preference for K⁺ over Na⁺ ions at equilibrium, in line with electrophysiology recordings of reversal potentials and Ba²⁺ block experiments used to measure the selectivity of the external-most ion-binding sites. These results suggest that the high selectivity observed during ion conduction can originate from a strong equilibrium preference for K⁺ ions in the selectivity filter, and that K⁺ selectivity is an intrinsic property of the filter. We hypothesize that the equilibrium preference for K⁺ ions originates in part through the optimal spacing between sites to accommodate multiple K⁺ ions within the selectivity filter.     

Molecular basis of ion permeability in a voltage‐gated sodium channel

Voltage‐gated sodium channels are essential for electrical signalling across cell membranes. They exhibit strong selectivities for sodium ions over other cations, enabling the finely tuned cascade of events associated with action potentials. This paper describes the ion permeability characteristics and the crystal structure of a prokaryotic sodium channel, showing for the first time the detailed locations of sodium ions in the selectivity filter of a sodium channel. Electrostatic calculations based on the structure are consistent with the relative cation permeability ratios (Na⁺ ≈ Li⁺ ≫ K⁺, Ca²⁺, Mg²⁺) measured for these channels. In an E178D selectivity filter mutant constructed to have altered ion selectivities, the sodium ion binding site nearest the extracellular side is missing. Unlike potassium ions in potassium channels, the sodium ions in these channels appear to be hydrated and are associated with side chains of the selectivity filter residues, rather than polypeptide backbones.     

Energy distribution and ion selectivity of the bacterial potassium channel

The ion selectivity of the bacterial potassium channel K_CSA is explained upon comparing the energy characteristics of the interaction of cations (Li⁺, Na⁺, K⁺) with atoms of the selectivity filter of the protein pore. Quantum-chemical calculations reveal a deeper potential well for potassium ions, which accounts for preferred K⁺ permeation. It is shown that the conventional methods with AMBER, CHARMM, OPLS force fields in standard parametrization as well as partial re-parametrization give incorrect estimates of ion energy distribution in the channel.     

Dynamics, Energetics, and Selectivity of the Low-K KcsA Channel Structure

Potassium channels are a diverse family of integral membrane proteins through which K⁺ can pass selectively. There is ongoing debate about the nature of conformational changes associated with the opening/closing and conductive/nonconductive states of potassium channels. The channels partly exert their function by varying their conductance through a mechanism known as C-type inactivation. Shortly after the activation of K⁺ channels, their selectivity filter stops conducting ions at a rate that depends on various stimuli. The molecular mechanism of C-type inactivation has not been fully understood yet. However, the X-ray structure of the KcsA channel obtained in the presence of low K⁺ concentration is thought to be representative of a K⁺ channel in the C-type inactivated state. Here, extensive, fully atomistic molecular dynamics and free-energy simulations of the low-K⁺ KcsA structure in an explicit lipid bilayer are performed to evaluate the stability of this structure and the selectivity of its binding sites. We find that the low-K⁺ KcsA structure is stable on the timescale of the molecular dynamics simulations performed, and that ions preferably remain in S1 and S4. In the absence of ions, the selectivity filter evolves toward an asymmetric architecture, as already observed in other computations of the high-K⁺ structure of KcsA and KirBac. The low-K⁺ KcsA structure is not permeable by Na⁺, K⁺, or Rb⁺, and the selectivity of its binding sites is different from that of the high-K⁺ structure.     

The selectivity of K+ ion channels: testing the hypotheses

How K⁺ channels are able to conduct certain cations yet not others remains an important but unresolved question. The recent elucidation of the structure of NaK, an ion channel that conducts both Na⁺ and K⁺ ions, offers an opportunity to test the various hypotheses that have been put forward to explain the selectivity of K⁺ ion channels. We test the snug-fit, field-strength, and over-coordination hypotheses by comparing their predictions to the results of classical molecular dynamics simulations of the K⁺ selective channel KcsA and the less selective channel NaK embedded in lipid bilayers. Our results are incompatible with the so-called strong variant of the snug-fit hypothesis but are consistent with the over-coordination hypothesis and neither confirm nor refute the field-strength hypothesis. We also find that the ions and waters in the NaK selectivity filter unexpectedly move to a new conformation in seven K⁺ simulations: the two K⁺ ions rapidly move from site S4 to S2 and from the cavity to S4. At the same time, the selectivity filter narrows around sites S1 and S2 and the carbonyl oxygen atoms rotate 20°−40° inwards toward the ion. These motions diminish the large structural differences between the crystallographic structures of the selectivity filters of NaK and KcsA and appear to allow the binding of ions to S2 of NaK at physiological temperature.     

Effects of the Protonation State of the EEEE Motif of a Bacterial Na-channel on Conduction and Pore Structure

A distinctive feature of prokaryotic Na⁺-channels is the presence of four glutamate residues in their selectivity filter. In this study, how the structure of the selectivity filter, and the free-energy profile of permeating Na⁺ ions are altered by the protonation state of Glu177 are analyzed. It was found that protonation of a single glutamate residue was enough to modify the conformation of the selectivity filter and its conduction properties. Molecular dynamics simulations revealed that Glu177 residues may adopt two conformations, with the side chain directed toward the extracellular entrance of the channel or the intracellular cavity. The likelihood of the inwardly directed arrangement increases when Glu177 residues are protonated. The presence of one glutamate residue with its chain directed toward the intracellular cavity increases the energy barrier for translocation of Na⁺ ions. These higher-energy barriers preclude Na⁺ ions to permeate the selectivity filter of prokaryotic Na⁺-channels when one or more Glu177 residues are protonated.     

Effects of the Protonation State of the EEEE Motif of a Bacterial Na+-channel on Conduction and Pore Structure

A distinctive feature of prokaryotic Na⁺-channels is the presence of four glutamate residues in their selectivity filter. In this study, how the structure of the selectivity filter, and the free-energy profile of permeating Na⁺ ions are altered by the protonation state of Glu177 are analyzed. It was found that protonation of a single glutamate residue was enough to modify the conformation of the selectivity filter and its conduction properties. Molecular dynamics simulations revealed that Glu177 residues may adopt two conformations, with the side chain directed toward the extracellular entrance of the channel or the intracellular cavity. The likelihood of the inwardly directed arrangement increases when Glu177 residues are protonated. The presence of one glutamate residue with its chain directed toward the intracellular cavity increases the energy barrier for translocation of Na⁺ ions. These higher-energy barriers preclude Na⁺ ions to permeate the selectivity filter of prokaryotic Na⁺-channels when one or more Glu177 residues are protonated.     

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.     

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.     

Coordination Numbers of K and Na Ions Inside the Selectivity Filter of the KcsA Potassium Channel: Insights from First Principles Molecular Dynamics

Quantum mechanics/molecular mechanics (QM/MM) Car-Parrinello simulations were performed to estimate the coordination numbers of K⁺ and Na⁺ ions in the selectivity filter of the KcsA channel, and in water. At the DFT/BLYP level, K⁺ ions were found to display an average coordination number of 6.6 in the filter, and 6.2 in water. Na⁺ ions displayed an average coordination number of 5.2 in the filter, and 5.0 in water. A comparison was made with the average coordination numbers obtained from using classical molecular dynamics (6.7 for K⁺ in the filter, 6.6 for K⁺ in water, 6.0 for Na⁺ in the filter, and 5.2 for Na⁺ in water). The observation that different coordination numbers were displayed by the ions in QM/MM simulations and in classical molecular dynamics is relevant to the discussion of selectivity in K-channels.     

Sodium channel selectivity and conduction: Prokaryotes have devised their own molecular strategy

Striking structural differences between voltage-gated sodium (Nav) channels from prokaryotes (homotetramers) and eukaryotes (asymmetric, four-domain proteins) suggest the likelihood of different molecular mechanisms for common functions. For these two channel families, our data show similar selectivity sequences among alkali cations (relative permeability, Pion/PNa) and asymmetric, bi-ionic reversal potentials when the Na/K gradient is reversed. We performed coordinated experimental and computational studies, respectively, on the prokaryotic Nav channels NaChBac and NavAb. NaChBac shows an “anomalous,” nonmonotonic mole-fraction dependence in the presence of certain sodium–potassium mixtures; to our knowledge, no comparable observation has been reported for eukaryotic Nav channels. NaChBac’s preferential selectivity for sodium is reduced either by partial titration of its highly charged selectivity filter, when extracellular pH is lowered from 7.4 to 5.8, or by perturbation—likely steric—associated with a nominally electro-neutral substitution in the selectivity filter (E191D). Although no single molecular feature or energetic parameter appears to dominate, our atomistic simulations, based on the published NavAb crystal structure, revealed factors that may contribute to the normally observed selectivity for Na over K. These include: (a) a thermodynamic penalty to exchange one K⁺ for one Na⁺ in the wild-type (WT) channel, increasing the relative likelihood of Na⁺ occupying the binding site; (b) a small tendency toward weaker ion binding to the selectivity filter in Na–K mixtures, consistent with the higher conductance observed with both sodium and potassium present; and (c) integrated 1-D potentials of mean force for sodium or potassium movement that show less separation for the less selective E/D mutant than for WT. Overall, tight binding of a single favored ion to the selectivity filter, together with crucial inter-ion interactions within the pore, suggests that prokaryotic Nav channels use a selective strategy more akin to those of eukaryotic calcium and potassium channels than that of eukaryotic Nav channels.