Determining K+ channel activation curves from K+ channel currents

Potassium ion channels are generally believed to have current-voltage (IV) relations which are linearly related to driving force ( V - E(K)), where V is membrane potential and E(K) is the potassium ion equilibrium potential. Consequently, activation curves for K+ channels have often been measured by normalizing voltage-clamp families of macroscopic K+ currents with (V - E(K)), where V is the potential of each successive step in the voltage clamp sequence. However, the IV relation for many types of K+ channels actually has a non-linear dependence upon driving force which is well described by the Goldman-Hodgkin-Katz relation. When the GHK dependence on (V - E(K)) is used in the normalization procedure, a very different voltage dependence of the activation curve is obtained which may more accurately reflect this feature of channel gating. Novel insights into the voltage dependence of the rapidly inactivating I(A) channels Kv1.4 and Kv4.2 have been obtained when this procedure was applied to recently published results.     

Characterization of a tobacco TPK-type K+ channel as a novel tonoplast K+ channel using yeast tonoplasts

The tonoplast K(+) membrane transport system plays a crucial role in maintaining K(+) homeostasis in plant cells. Here, we isolated cDNAs encoding a two-pore K(+) channel (NtTPK1) from Nicotiana tabacum cv. SR1 and cultured BY-2 tobacco cells. Two of the four variants of NtTPK1 contained VHG and GHG instead of the GYG signature sequence in the second pore region. All four products were functional when expressed in the Escherichia coli cell membrane, and NtTPK1 was targeted to the tonoplast in tobacco cells. Two of the three promoter sequences isolated from N. tabacum cv. SR1 were active, and expression from these was increased approximately 2-fold by salt stress or high osmotic shock. To determine the properties of NtTPK1, we enlarged mutant yeast cells with inactivated endogenous tonoplast channels and prepared tonoplasts suitable for patch clamp recording allowing the NtTPK1-related channel conductance to be distinguished from the small endogenous currents. NtTPK1 exhibited strong selectivity for K(+) over Na(+). NtTPK1 activity was sensitive to spermidine and spermine, which were shown to be present in tobacco cells. NtTPK1 was active in the absence of Ca(2+), but a cytosolic concentration of 45 microM Ca(2+) resulted in a 2-fold increase in the amplitude of the K(+) current. Acidification of the cytosol to pH 5.5 also markedly increased NtTPK1-mediated K(+) currents. These results show that NtTPK1 is a novel tonoplast K(+) channel belonging to a different group from the previously characterized vacuolar channels SV, FV, and VK.     

Intracellular K+ sensing of SKOR, a Shaker-type K+ channel from Arabidopsis

Most K+ channels in plants are structurally classified into the Shaker family named after the shaker K+ channel in Drosophila. Plant K+ channels function in many physiological processes including osmotic regulation and K+ nutrition. An outwardly rectifying K+ channel, SKOR, mediates the delivery of K+ from stelar cells to the xylem in the roots, a critical step in the long-distance distribution of K+ from roots to the upper parts of the plant. Here we report that SKOR channel activity is strictly dependent on intracellular K+ concentrations. Activation by K+ did not affect the kinetics of voltage dependence in SKOR, indicating that a voltage-independent gating mechanism underlies the K+ sensing process. Further analysis showed that the C-terminal non-transmembrane region of the SKOR protein was required for this sensing process. The intracellular K+ sensing mechanism couples SKOR activity to K+ nutrition status in the 'source cells', thereby establishing a supply-based unloading system for the regulation of K+ distribution.     

Truncated K+ channel DNA sequences specifically suppress lymphocyte K+ channel gene expression.

We have constructed a series of deletion mutants of Kv1.3, a Shaker-like, voltage-gated K+ channel, and examined the ability of these truncated mutants to form channels and to specifically suppress full-length Kv1.3 currents. These constructs were expressed heterologously in both Xenopus oocytes and a mouse cytotoxic T cell line. Our results show that a truncated mutant Kv1.3 must contain both the amino terminus and the first transmembrane-spanning segment, S1, to suppress full-length Kv1.3 currents. Amino-terminal-truncated DNA sequences from one subfamily suppress K+ channel expression of members of only the same subfamily. The first 141 amino acids of the amino-terminal of Kv1.3 are not necessary for channel formation. Deletion of these amino acids yields a current identical to that of full-length Kv1.3, except that it cannot be suppressed by a truncated Kv1.3 containing the amino terminus and S1. To test the ability of truncated Kv1.3 to suppress endogenous K+ currents, we constructed a plasmid that contained both truncated Kv1.3 and a selection marker gene (mouse CD4). Although constitutively expressed K+ currents in Jurkat (a human T cell leukemia line) and GH3 (an anterior pituitary cell line) cells cannot be suppressed by this double-gene plasmid, stimulated (up-regulated) Shaker-like K+ currents in GH3 cells can be suppressed.     

Interactions of external K+ and internal blockers in a weak inward-rectifier K+ channel

We investigated the effects of changing extracellular K⁺ concentrations on block of the weak inward-rectifier K⁺ channel Kir1.1b (ROMK2) by the three intracellular cations Mg²⁺, Na⁺, and TEA⁺. Single-channel currents were monitored in inside-out patches made from Xenopus laevis oocytes expressing the channels. With 110 mM K⁺ in the inside (cytoplasmic) solution and 11 mM K⁺ in the outside (extracellular) solution, these three cations blocked K⁺ currents with a range of apparent affinities (K_i (0) = 1.6 mM for Mg²⁺, 160 mM for Na⁺, and 1.8 mM for TEA⁺) but with similar voltage dependence (zδ = 0.58 for Mg²⁺, 0.71 for Na⁺, and 0.61 for TEA⁺) despite having different valences. When external K⁺ was increased to 110 mM, the apparent affinity of all three blockers was decreased approximately threefold with no significant change in the voltage dependence of block. The possibility that the transmembrane cavity is the site of block was explored by making mutations at the N152 residue, a position previously shown to affect rectification in Kir channels. N152D increased the affinity for block by Mg²⁺ but not for Na⁺ or TEA⁺. In contrast, the N152Y mutation increased the affinity for block by TEA⁺ but not for Na⁺ or Mg²⁺. Replacing the C terminus of the channel with that of the strong inward-rectifier Kir2.1 increased the affinity of block by Mg²⁺ but had a small effect on that by Na⁺. TEA⁺ block was enhanced and had a larger voltage dependence. We used an eight-state kinetic model to simulate these results. The effects of voltage and external K⁺ could be explained by a model in which the blockers occupy a site, presumably in the transmembrane cavity, at a position that is largely unaffected by changes in the electric field. The effects of voltage and extracellular K⁺ are explained by shifts in the occupancy of sites within the selectivity filter by K⁺ ions.     

Structures of Gating Intermediates in a K+ channel

Regulation of ion conduction through the pore of a K⁺ channel takes place through the coordinated action of the activation gate at the bundle crossing of the inner helices and the inactivation gate located at the selectivity filter. The mechanism of allosteric coupling of these gates is of key interest. Here we report new insights into this allosteric coupling mechanism from studies on a W67F mutant of the KcsA channel. W67 is in the pore helix and is highly conserved in K⁺ channels. The KcsA W67F channel shows severely reduced inactivation and an enhanced rate of activation. We use continuous wave EPR spectroscopy to establish that the KcsA W67F channel shows an altered pH dependence of activation. Structural studies on the W67F channel provide the structures of two intermediate states: a pre- open state and a pre-inactivated state of the KcsA channel. These structures highlight key nodes in the allosteric pathway. The structure of the KcsA W67F channel with the activation gate open shows altered ion occupancy at the second ion binding site (S2) in the selectivity filter. This finding in combination with previous studies strongly support a requirement for ion occupancy at the S2 site for the channel to inactivate.     

Construction of a cyclic nucleotide-gated KcsA K+ channel

The ability of an ion channel to open in response to a defined stimulus is central to its function. In ligand-gated channels, pore opening is conferred through transduction of a conformational change in a gating domain to the helices of the pore. Here, we present the construction of a designed cyclic nucleotide-gated (CNG) channel, named KcsA-CNG, by addition of a prokaryotic cyclic nucleotide-binding domain to a KcsA-derived K+ channel. This channel is functional in lipid bilayers at physiological pH and has the combined properties of both of its parent-derived components. It conducts K+ and is blocked by the K+ channel inhibitors Na+ and agitoxin-2. Channel open times are increased by about two orders of magnitude compared to wild-type KcsA. The average number of open channels increases by approximately 50% upon addition of cAMP. Although the absolute open probabilities are somewhat variable from one channel to the next, the property of cyclic nucleotide sensitivity is very reproducible. An apparent Kd value of approximately 90 nM was estimated. The successful construction of a cyclic nucleotide-gated KcsA K+ channel suggests that it should be possible to produce channels that will respond to novel ligands.     

Shab K+ channel slow inactivation

Herein, we report the first characterization of Shab slow inactivation. Open Shab channels inactivate within seconds, with two voltage-independent time constants. Additionally, Shab presents significant closed-state inactivation. We found that with short depolarizing pulses, shorter than the slowest inactivation time constant, the resulting inactivation curve has a marked U-shape, but as pulse duration increases, approaching steady-state conditions, the U-shape vanishes, and the resulting inactivation curves converge to the classical Boltzmann h_∞ curve. Regarding the mechanism of inactivation, we found that external K⁺ and TEA facilitate both open- and closed-state inactivation, while the cavity blocker quinidine hinders inactivation. These results together with our previous observations regarding the K⁺-dependent stability of the K⁺ conductance, suggest the novel hypothesis that inactivation of Shab channels, and possibly that of other Kv channels whose inactivation is facilitated by K⁺, does not involve a significant narrowing of the extracellular entry of the pore. Instead, we hypothesize that there is only a rearrangement of a more internal segment of the pore that affects the central cavity and halts K⁺ conduction.     

Voltage-dependent C-type inactivation in a constitutively open K+ channel

Most voltage-gated potassium (Kv) channels undergo C-type inactivation during sustained depolarization. The voltage dependence and other mechanistic aspects of this process are debated, and difficult to elucidate because of concomitant voltage-dependent activation. Here, we demonstrate that MinK-KCNQ1 (I_Ks) channels with an S6-domain mutation, F340W in KCNQ1, exhibit constitutive activation but voltage-dependent C-type inactivation. F340W-I_Ks inactivation was sensitive to extracellular cation concentration and species, and it altered ion selectivity, suggestive of pore constriction. The rate and extent of F340W-I_Ks inactivation and recovery from inactivation were voltage-dependent with physiologic intracellular ion concentrations, and in the absence or presence of external K⁺, with an estimated gating charge, z_i, of ∼1. Finally, double-mutant channels with a single S4 charge neutralization (R231A,F340W-I_Ks) exhibited constitutive C-type inactivation. The results suggest that F340W-I_Ks channels exhibit voltage-dependent C-type inactivation involving S4, without the necessity for voltage-dependent opening, allosteric coupling to voltage-dependent S6 transitions occurring during channel opening, or voltage-dependent changes in ion occupancy. The data also identify F340 as a critical hub for KCNQ1 gating processes and their modulation by MinK, and present a unique system for further mechanistic studies of the role of coupling of C-type inactivation to S4 movement, without contamination from voltage-dependent activation.     

Characterization of a chloroplast inner envelope K+ channel.

A K(+)-conducting protein of the chloroplast inner envelope was characterized as a K+ channel. Studies of this transport protein in the native membrane documented its sensitivity to K+ channel blockers. Further studies of native membranes demonstrated a sensitivity of K+ conductance to divalent cations such as Mg2+, which modulate ion conduction through interaction with negative surface charges on the inner-envelope membrane. Purified chloroplast inner-envelope vesicles were fused into an artificial planar lipid bilayer to facilitate recording of single-channel K+ currents. These single-channel K+ currents had a slope conductance of 160 picosiemens. Antibodies generated against the conserved amino acid sequence that serves as a selectivity filter in the pore of K+ channels immunoreacted with a 62-kD polypeptide derived from the chloroplast inner envelope. This polypeptide was fractionated using density gradient centrifugation. Comigration of this immunoreactive polypeptide and K+ channel activity in sucrose density gradients further suggested that this polypeptide is the protein facilitating K+ conductance across the chloroplast inner envelope.     

Structure of a voltage-dependent K+ channel beta subunit.

The integral membrane subunits of many voltage-dependent potassium channels are associated with an additional protein known as the beta subunit. One function of beta subunits is to modify K+ channel gating. We have determined the structure of the conserved core of mammalian beta subunits by X-ray crystallography at 2.8 A resolution. Like the integral membrane component of K+ channels, beta subunits form a four-fold symmetric structure. Each subunit is an oxidoreductase enzyme complete with a nicotinamide co-factor in its active site. Several structural features of the enzyme active site, including its location with respect to the four-fold axis, imply that it may interact directly or indirectly with the K+ channel's voltage sensor. This structure suggests a mechanism for coupling membrane electrical excitability directly to chemistry of the cell.     

Functional modification of a Ca2+-activated K+ channel by trimethyloxonium

Single Ca2+-activated K+ channels from rat skeletal muscle plasma membranes were studied in neutral phospholipid bilayers. Channels were chemically modified by briefly exposing the external side to the carboxyl group modifying reagent trimethyloxonium (TMO). TMO modification, in a "multi-hit" fashion, reduces the single-channel conductance without affecting ion selectivity. Modification also shifts the voltage activation curve toward more depolarized voltages and reduces the affinity of the channel blocker charybdotoxin (CTX). CTX, bound to the channel during the TMO exposure, prevents the TMO-induced reduction of the single-channel conductance. These data suggest that the high-conductance Ca2+-activated K+ channel has carboxyl groups on its external surface. These groups influence ion conduction, gating, and the binding of CTX.     

Na+ activation of the muscarinic K+ channel by a G-protein-independent mechanism

Muscarinic potassium channels (KACh) are composed of two subunits, GIRK1 and GIRK4 (or CIR), and are directly gated by G proteins. We have identified a novel gating mechanism of KACh, independent of G-protein activation. This mechanism involved functional modification of KACh which required hydrolysis of physiological levels of intracellular ATP and was manifested by an increase in the channel mean open time. The ATP-modified channels could in turn be gated by intracellular Na+, starting at approximately 3 mM with an EC50 of approximately 40 mM. The Na(+)-gating of KACh was operative both in native atrial cells and in a heterologous system expressing recombinant channel subunits. Block of the Na+/K+ pump (e.g., by cardiac glycosides) caused significant activation of KACh in atrial cells, with a time course similar to that of Na+ accumulation and in a manner indistinguishable from that of Na(+)-mediated activation of the channel, suggesting that cardiac glycosides activated KACh by increasing intracellular Na+ levels. These results demonstrate for the first time a direct effect of cardiac glycosides on atrial myocytes involving ion channels which are critical in the regulation of cardiac rhythm.     

Na+ block and permeation in a K+ channel of known structure

The effects of intracellular Na(+) were studied on K(+) and Rb(+) currents through single KcsA channels. At low voltage, Na(+) produces voltage-dependent block, which becomes relieved at high voltage by a "punchthrough" mechanism representing Na(+) escaping from its blocking site through the selectivity filter. The Na(+) blocking site is located in the wide, hydrated vestibule, and it displays unexpected selectivity for K(+) and Rb(+) against Na(+). The voltage dependence of Na(+) block reflects coordinated movements of the blocker with permeant ions in the selectivity filter.     

Molecular template for a voltage sensor in a novel K+ channel. II. Conservation of a eukaryotic sensor fold in a prokaryotic K+ channel

KvLm, a novel bacterial depolarization-activated K(+) (Kv) channel isolated from the genome of Listeria monocytogenes, contains a voltage sensor module whose sequence deviates considerably from the consensus sequence of a Kv channel sensor in that only three out of eight conserved charged positions are present. Surprisingly, KvLm exhibits the steep dependence of the open channel probability on membrane potential that is characteristic of eukaryotic Kv channels whose sensor sequence approximates the consensus. Here we asked if the KvLm sensor shared a similar fold to that of Shaker, the archetypal eukaryotic Kv channel, by examining if interactions between conserved residues in Shaker known to mediate sensor biogenesis and function were conserved in KvLm. To this end, each of the five non-conserved residues in the KvLm sensor were mutated to their Shaker-like charged residues, and the impact of these mutations on the voltage dependence of activation was assayed by current recordings from excised membrane patches of Escherichia coli spheroplasts expressing the KvLm mutants. Conservation of pairwise interactions was investigated by comparison of the effect of single mutations to the impact of double mutations presumed to restore wild-type fold and voltage sensitivity. We observed significant functional coupling between sites known to interact in Shaker Kv channels, supporting the notion that the KvLm sensor largely retains the fold of its eukaryotic homologue.     

Interactions of K+ ATP channel blockers with Na+/K+-ATPase

Two K⁺ _ATP channel blockers, 5-hydroxydecanoate (5-HD) and glyburide, are often used to study cross-talk between Na⁺/K⁺-ATPase and these channels. The aim of this work was to characterize the effects of these blockers on purified Na⁺/K⁺-ATPase as an aid to appropriate use of these drugs in studies on this cross-talk. In contrast to known dual effects (activating and inhibitory) of other fatty acids on Na⁺/K⁺-ATPase, 5-HD only inhibited the enzyme at concentrations exceeding those that block mitochondrial K⁺ _ATP channels. 5-HD did not affect the ouabain sensitivity of Na⁺/K⁺-ATPase. Glyburide had both activating and inhibitory effects on Na⁺/K⁺-ATPase at concentrations used to block plasma membrane K⁺ _ATP channels. The findings justify the use of 5-HD as specific mitochondrial channel blocker in studies on the relation of this channel to Na⁺/K⁺-ATPase, but question the use of glyburide as a specific blocker of plasma membrane K⁺ _ATP channels, when the relation of this channel to Na⁺/K⁺-ATPase is being studied.     

Multifractal analysis of K+ channel activity

The Multifractal version of the Detrended Fluctuation Analysis was used for the study of non-stationary dwell time series of Ca²⁺-activated K⁺ channels (K_Ca channels) in cultured kidney Vero cells and of voltage-dependent K⁺ channels (K_v channels) in mollusc (Lymnaea stagnalis) neurons. The data obtained can briefly be summarized as follows: (i) The generalized fluctuation function F _q (l) strongly depends on the index (order) q; for monofractal time series, such dependence is nonexistent; (ii) The relationship between the scaling exponent τ commonly employed in standard multifractal analysis and q is characterized by two slopes and a transitory region, whereas monofractal processes are characterized by the linear dependence; (iii) The relationship between the singularity spectrum f(h) and the Hurst exponent h is bell-shaped, while in the case of monofractal processes it is represented by a single point f(h) = 1. Random mixing of the time series resulted in the narrowing of the spectrum f(h) and a shift of f(h) towards the value more characteristic of stochastic (monofractal) processes (h ～ 0.5). It is concluded that the activities of both K_Ca channels in kidney Vero cells and of K_V channels in mollusc (Lymnaea stagnalis) neurons can be characterized as multifractal processes.     

K+ transport in 'tight' epithelial monolayers of MDCK cells. Evidence for a calcium-activated K+ channel

Measurements of 86Rb efflux across the apical and basal-lateral aspects of intact monolayers of 'high-resistance' MDCK cells mounted in Ussing chambers have been made. A transient increase in 86Rb efflux across both epithelial borders upon stimulation with adrenalineeeeeee or ionophore A23187 is observed. The increased 86Rb across the basal cell aspects is of greatest quantitative importance. Measurements of total cellular K+ contents by flame photometry of tissue extracts indicate a net loss of K+ following adrenalin addition. The effects of adrenalin and ionophore A23187 upon 86Rb efflux are abolished in 'Ca2+ -free' media. The properties of the Ca2+ -dependent increase in 86Rb efflux show similarities to Ca2+ -activated K+ conductances in other tissues, notably human red cells, including inhibition by quinine (1 mM), tetraethylammonium (25 mM) and insensitivity to bee venom toxin (apamin) (25 nM). Adrenalin is only effective when applied to the basal bathing solution suggesting that the receptors mediating adrenalin action are located upon the basal-lateral membranes. Half maximal stimulation of 86Rb efflux by adrenalin is observed at 9.1 X 10(-7) M. The action of various adrenergic receptor agonists and antagonists are consistent with adrenalin action being mediated by an alpha-adrenergic receptor.     

MjK1, a K+ channel from M. jannaschii,mediates K+ uptake and K+ sensitivity in E. coli

The methanogenic and hyperthermophilic deep-sea archaeon Methanococcus jannaschii has three putative K+ channels, MVP (Mj0139), MjK1 (Mj0138.1) and MjK2 (Mj1357). The physiological function of these K+ channels was examined in a viability assay, using the Escherichia coli mutant LB2003 (kup1, DeltakdpABC5, DeltatrkA). While MjK2 expression had no effects on the potassium-dependent phenotype of LB2003, MVP and MjK1 complemented the deficiency at a concentration of 1 mM KCl. In contrast to KcsA, MthK and MVP, MjK1 strongly affected host cell viability at 10 and 100 mM KCl. The toxic effects were less pronounced when growth media were supplemented with the K+ channel blocker BaCl2.