A Model of sodium channel-inactivation based upon the modulated blocker

An attempt is made to model sodium channel inactivation based upon real physical processes. The principle involved, which is supported by calculation and by direct appeal to experimental results, is that the gating dipole reversal or gating charge transfer that occurs when the channel is activated, markedly modulates the electrical properties of charged groups at the channel ends. Four examples of possible mechanisms that lead to channel inactivation are described. The simple four-state model that results is able to predict: (a) the steep voltage dependence of the equilibrium inactivation characteristic without the presence of any appreciable displacement current associated with inactivation; (b) the negative shift in membrane voltage of the equilibrium inactivation characteristic relative to the activation characteristic; (c) the bell-shaped dependence of inactivation time constant on membrane voltage; (d) the similarity of the membrane voltage dependence of the time constant of recovery from inactivation, to that of inactivation itself. A brief discussion of a model for sodium channel activation based upon the same physical principle is included.     

Specificity of charge-carrying residues in the voltage sensor of potassium channels

Positively charged voltage sensors of sodium and potassium channels are driven outward through the membrane's electric field upon depolarization. This movement is coupled to channel opening. A recent model based on studies of the KvAP channel proposes that the positively charged voltage sensor, christened the "voltage-sensor paddle", is a peripheral domain that shuttles its charged cargo through membrane lipid like a hydrophobic cation. We tested this idea by attaching charged adducts to cysteines introduced into the putative voltage-sensor paddle of Shaker potassium channels and measuring fractional changes in the total gating charge from gating currents. The only residues capable of translocating attached charges through the membrane-electric field are those that serve this function in the native channel. This remarkable specificity indicates that charge movement involves highly specialized interactions between the voltage sensor and other regions of the protein, a mechanism inconsistent with the paddle model.     

A Kv channel with an altered activation gate sequence displays both "fast" and "slow" activation kinetics

The Kv1-4 families of K+ channels contain a tandem proline motif (PXP) in the S6 helix that is crucial for channel gating. In human Kv1.5, replacing the first proline by an alanine resulted in a nonfunctional channel. This mutant was rescued by introducing another proline at a nearby position, changing the sequence into AVPP. This resulted in a channel that activated quickly (ms range) upon the first depolarization. However, thereafter, the channel became trapped in another gating mode that was characterized by slow activation kinetics (s range) with a shallow voltage dependence. The switch in gating mode was observed even with very short depolarization steps, but recovery to the initial "fast" mode was extremely slow. Computational modeling suggested that switching occurred during channel deactivation. To test the effect of the altered PXP sequence on the mobility of the S6 helix, we used molecular dynamics simulations of the isolated S6 domain of wild type (WT) and mutants starting from either a closed or open conformation. The WT S6 helix displayed movements around the PXP region with simulations starting from either state. However, the S6 with a AVPP sequence displayed flexibility only when started from the closed conformation and was rigid when started from the open state. These results indicate that the region around the PXP motif may serve as a "hinge" and that changing the sequence to AVPP results in channels that deactivate to a state with an alternate configuration that renders them "reluctant" to open subsequently.     

Altered sodium and gating current kinetics in frog skeletal muscle caused by low external pH

The effect of low pH on the kinetics of Na channel ionic and gating currents was studied in frog skeletal muscle fibers. Lowering external pH from 7.4 to 5.0 slows the time course of Na current consistent with about a +25-mV shift in the voltage dependence of activation and inactivation time constants. Similar shifts in voltage dependence adequately describe the effects of low pH on the tail current time constant (+23.3 mV) and the gating charge vs. voltage relationship (+22.1 mV). A significantly smaller shift of +13.3 mV described the effect of pH 5.0 solution on the voltage dependence of steady state inactivation. Changes in the time course of gating current at low pH were complex and could not be described as a shift in voltage dependence. tau g, the time constant that describes the time course of the major component of gating charge movement, was slowed in pH 5.0 solution by a factor of approximately 3.5 for potentials from -60 to +45 mV. We conclude that the effects of low pH on Na channel gating cannot be attributed simply to a change in surface potential. Therefore, although it may be appropriate to describe the effect of low pH on some Na channel kinetic properties as a "shift" in voltage dependence, it is not appropriate to interpret such shifts as a measure of changes in surface potential. The maximum gating charge elicited from a holding potential of -150 mV was little affected by low pH.(ABSTRACT TRUNCATED AT 250 WORDS)     

Saxitoxin is a gating modifier of HERG K+ channels

Potassium (K+) channels mediate numerous electrical events in excitable cells, including cellular membrane potential repolarization. The hERG K+ channel plays an important role in myocardial repolarization, and inhibition of these K+ channels is associated with long QT syndromes that can cause fatal cardiac arrhythmias. In this study, we identify saxitoxin (STX) as a hERG channel modifier and investigate the mechanism using heterologous expression of the recombinant channel in HEK293 cells. In the presence of STX, channels opened slower during strong depolarizations, and they closed much faster upon repolarization, suggesting that toxin-bound channels can still open but are modified, and that STX does not simply block the ion conduction pore. STX decreased hERG K+ currents by stabilizing closed channel states visualized as shifts in the voltage dependence of channel opening to more depolarized membrane potentials. The concentration dependence for steady-state modification as well as the kinetics of onset and recovery indicate that multiple STX molecules bind to the channel. Rapid application of STX revealed an apparent "agonist-like" effect in which K+ currents were transiently increased. The mechanism of this effect was found to be an effect on the channel voltage-inactivation relationship. Because the kinetics of inactivation are rapid relative to activation for this channel, the increase in K+ current appeared quickly and could be subverted by a decrease in K+ currents due to the shift in the voltage-activation relationship at some membrane potentials. The results are consistent with a simple model in which STX binds to the hERG K+ channel at multiple sites and alters the energetics of channel gating by shifting both the voltage-inactivation and voltage-activation processes. The results suggest a novel extracellular mechanism for pharmacological manipulation of this channel through allosteric coupling to channel gating.     

Shaker potassium channel gating. III: Evaluation of kinetic models for activation

Predictions of different classes of gating models involving identical conformational changes in each of four subunits were compared to the gating behavior of Shaker potassium channels without N-type inactivation. Each model was tested to see if it could simulate the voltage dependence of the steady state open probability, and the kinetics of the single-channel currents, macroscopic ionic currents and macroscopic gating currents using a single set of parameters. Activation schemes based upon four identical single-step activation processes were found to be incompatible with the experimental results, as were those involving a concerted, opening transition. A model where the opening of the channel requires two conformational changes in each of the four subunits can adequately account for the steady state and kinetic behavior of the channel. In this model, the gating in each subunit is independent except for a stabilization of the open state when all four subunits are activated, and an unstable closed conformation that the channel enters after opening. A small amount of negative cooperativity between the subunits must be added to account quantitatively for the dependence of the activation time course on holding voltage.     

Modulation of aminopyridine block of potassium currents in squid axon.

Aminopyridines are known to block potassium (K) currents in excitable membranes in a manner dependent upon membrane potential, such that the block is relieved by depolarization and restored upon repolarization. In the present study, the effects of aminopyridines on voltage-dependent potassium (K) channels were examined in internally perfused, voltage-clamped squid giant axons. The time course of block restoration after conditioning depolarization was found to be modulated by membrane electric field, K-channel gating, and external cations. Depolarized holding potentials accelerated block restoration without altering steady-state block levels, suggesting that the voltage dependence of block restoration may be related to K channel gating rather than drug binding per se. In support of this notion, low external calcium concentration, which shifts the voltage dependence of K-channel gating to more negative potentials, also accelerated block restoration. Conversely, the relationship between the rate of block restoration and membrane holding potential was shifted in the depolarizing direction by phloretin, an agent that shifts the dependence of K-channel opening on membrane potential in a similar manner. Modification of K-channel gating also was found to alter the rate of block restoration. Addition of internal zinc or internal treatment with glutaraldehyde slowed the time course of both K-channel activation and aminopyridine block restoration. Aminopyridines also were found to interact in the K channel with external Cs+, NH4+, and Rb+, each of which slowed aminopyridine block restoration. Our results suggest that aminopyridines enter and occlude K channels, and that the availability of the binding site may be modulated by channel gating such that access is limited by the probability of the channel reaching an intermediate closed state at the resting potential.     

Voltage-dependent membrane capacitance in rat pituitary nerve terminals due to gating currents

We investigated the voltage dependence of membrane capacitance of pituitary nerve terminals in the whole-terminal patch-clamp configuration using a lock-in amplifier. Under conditions where secretion was abolished and voltage-gated channels were blocked or completely inactivated, changes in membrane potential still produced capacitance changes. In terminals with significant sodium currents, the membrane capacitance showed a bell-shaped dependence on membrane potential with a peak at approximately -40 mV as expected for sodium channel gating currents. The voltage-dependent part of the capacitance showed a strong correlation with the amplitude of voltage-gated Na+ currents and was markedly reduced by dibucaine, which blocks sodium channel current and gating charge movement. The frequency dependence of the voltage-dependent capacitance was consistent with sodium channel kinetics. This is the first demonstration of sodium channel gating currents in single pituitary nerve terminals. The gating currents lead to a voltage- and frequency-dependent capacitance, which can be well resolved by measurements with a lock-in amplifier. The properties of the gating currents are in excellent agreement with the properties of ionic Na+ currents of pituitary nerve terminals.     

Some unexpected consequences of a simple physical mechanism for voltage-dependent gating in biological membranes

We consider a model for voltage-dependent gating of channels in which the gating charges are on the channel wall and move only a small distance. When this movement occurs across the closed gate, the charges move through the entire transmembrane potential, which is energetically equivalent to their moving across the entire membrane. The channel exists in two open states, O1 and O2, and two closed states, C1 and C2; each open and closed configuration is divided into two states because of the two possible positions of the gating charges. An unusual property of this model is that the electrical work in going from an open to a closed configuration (for example, in going from O1 to C2) is path dependent, and net work can result from going reversibly around a complete cycle. The model channel, like many biological channels, shows bursting activity. This flickering on and off of the channel enables the gate to sense the electric field and decide if it should be in the open or closed configuration. We prove here some general theorms concerning the electrical work associated with the movements of the walls of channels and the movements of charges on these walls.     

Pharmacological and kinetic analysis of K channel gating currents

We have measured gating currents from the squid giant axon using solutions that preserve functional K channels and with experimental conditions that minimize Na channel contributions to these currents. Two pharmacological agents were used to identify a component of gating current that is associated with K channels. Low concentrations of internal Zn2+ that considerably slow K channel ionic currents with no effect on Na channel currents altered the component of gating current associated with K channels. At low concentrations (10-50 microM) the small, organic, dipolar molecule phloretin has several reported specific effects on K channels: it reduces K channel conductance, shifts the relationship between channel conductance and membrane voltage (Vm) to more positive potentials, and reduces the voltage dependence of the conductance-Vm relation. The K channel gating charge movements were altered in an analogous manner by 10 microM phloretin. We also measured the dominant time constants of the K channel ionic and gating currents. These time constants were similar over part of the accessible voltage range, but at potentials between -40 and 0 mV the gating current time constants were two to three times faster than the corresponding ionic current values. These features of K channel function can be reproduced by a simple kinetic model in which the channel is considered to consist of two, two-state, nonidentical subunits.     

Potassium channel gating in adhesion: from an oocyte–silicon to a neuron–astrocyte adhesion contact

In a neuron–astrocyte adhesion contact the ionic current due to the opening of voltage-dependent potassium channels has to flow along a narrow intercellular cleft, generating there an extracellular voltage. This voltage might be large enough to affect significantly the dependence of channel gating from the intracellular voltage. In order to test this hypothesis, we considered a Xenopus oocyte expressing voltage-dependent potassium channels adhering to a layer of silicon oxide as a simplified model of cell–cell adhesion; here the cell membrane and silicon oxide are separated by a narrow cleft and form a junction of circular shape. We measured directly the extracellular voltage along the diameter of the cleft and investigated its effect on channel gating using a linear array of field effect transistors integrated in the silicon substrate. On this experimental basis we demonstrated that the voltage dependence of potassium channels is strongly affected by adhesion, as can be predicted using a model of a two-dimensional cable and electrodiffusion theory. Computations based on the model showed that along a neuron–astrocyte adhesion contact the opening of voltage-dependent Kv2.1 potassium channels is significantly reduced with respect to identical channels facing an open extracellular space.     

Single chloride channels from Torpedo electroplax. Activation by protons

Single-channel fluctuations of a chloride-specific channel from Torpedo californica electroplax were studied with high current and time resolution. Channels were incorporated into virtually solvent-free planar bilayer membranes formed from phospholipid monolayers, and the substructure of the open channel was analyzed. The single channel displays three well-defined substates of conductances 0, 10, and 20 pS in 200 mM Cl-. These three substates are interpreted in terms of a dimeric channel complex composed of two identical "protochannels" gating independently in parallel on a time scale of milliseconds, but coupled together by a bursting process on a time scale of seconds. The probability of forming an open protochannel is voltage dependent and is increased strongly as aqueous pH is lowered. Variations of pH are effective only on the same side of the bilayer as the addition of electroplax vesicles. The dependence of single-channel kinetics on pH and voltage lead to a minimal four-state model in which both open and closed states can be protonated on a residue that changes its pK from 6 to 9 upon opening of the protochannel.     

Changes in local S4 environment provide a voltage-sensing mechanism for mammalian hyperpolarization-activated HCN channels

The positively charged S4 transmembrane segment of voltage-gated channels is thought to function as the voltage sensor by moving charge through the membrane electric field in response to depolarization. Here we studied S4 movements in the mammalian HCN pacemaker channels. Unlike most voltage-gated channel family members that are activated by depolarization, HCN channels are activated by hyperpolarization. We determined the reactivity of the charged sulfhydryl-modifying reagent, MTSET, with substituted cysteine (Cys) residues along the HCN1 S4 segment. Using an HCN1 channel engineered to be MTS resistant except for the chosen S4 Cys substitution, we determined the reactivity of 12 S4 residues to external or internal MTSET application in either the closed or open state of the channel. Cys substitutions in the NH2-terminal half of S4 only reacted with external MTSET; the rates of reactivity were rapid, regardless of whether the channel was open or closed. In contrast, Cys substitutions in the COOH-terminal half of S4 selectively reacted with internal MTSET when the channel was open. In the open state, the boundary between externally and internally accessible residues was remarkably narrow (approximately 3 residues). This suggests that S4 lies in a water-filled gating canal with a very narrow barrier between the external and internal solutions, similar to depolarization-gated channels. However, the pattern of reactivity is incompatible with either classical gating models, which postulate a large translational or rotational movement of S4 within a gating canal, or with a recent model in which S4 forms a peripheral voltage-sensing paddle (with S3b) that moves within the lipid bilayer (the KvAP model). Rather, we suggest that voltage sensing is due to a rearrangement in transmembrane segments surrounding S4, leading to a collapse of an internal gating canal upon channel closure that alters the shape of the membrane field around a relatively static S4 segment.     

Does the Na channel conduct ions through a water-filled pore or a condensed-state pathway?

Many investigators assert that the ion-conducting pathway of the Na channel is a water-filled pore. This assertion must be reevaluated to clear the way for more productive approaches to channel gating. The hypothesis of an aqueous pore leaves the questions of voltage-dependent gating and ion selectivity unexplained because a column of water can neither serve as a switch nor provide the necessary selectivity. The price of believing in an aqueous pore therefore is a futile search for separate ad hoc mechanisms for gating and selectivity. The fallacy is to assume that only water is available to carry ions rapidly, ignoring the role of the glycoprotein, which can form an elastomeric phase with water. The elastomer is a state of matter, neither liquid nor solid, in which the molecules of a liquid are threaded together with cross-linked polymer chains; it supports fast ion motion (Owen, 1989). An alternative hypothesis for channel gating, based on condensed-state materials science, already exists (Leuchtag, 1988, 1991a). The ferroelectric-superionic transition hypothesis (FESITH) postulates that the Na channel exists in a metastable ordered (closed) state at resting potential and, on threshold depolarization, undergoes a reversible order-disorder phase transition to a less-ordered, ion-conducting (open) state. The ordered state is ferroelectric; the disordered state is a fast ion conductor selective for Li+ and Na+. The basis of the voltage dependence is elevation of transition temperature with electric field, well established in ferroelectrics. FESITH is consistent with single-channel transitions, gating currents, heat and cold block, and other phenomena observed at channel or membrane level.(ABSTRACT TRUNCATED AT 250 WORDS)     

Voltage and temperature dependence of single K+ channels isolated from canine cardiac sarcoplasmic reticulum.

The temperature and voltage dependence of gating and conductance of sarcoplasmic reticulum K+ channels (S-R K+) isolated from adult canine hearts were studied using the reconstituted bilayer technique. Fusion of vesicles from this preparation frequently resulted in the incorporation of a single channel. Only bilayers into which a single S-R K+ channel had fused were studied. The three conductance states of the channel, fully open (O2), substate conductance (O1), and closed (C) were studied as a function of voltage (-50 to +50 mV) and temperature (16 to 37 degrees C). Permeation through the O1 state showed the same temperature dependence as the O2 state corresponding to an enthalpy of permeation of 4.1-4.2 kcal/mol, which is similar to that for K+ diffusion through water. As expected, increased temperature increased the frequency of gating transitions and shortened the average dwell time spent in any conductance state. Over the range of 25 to 37 degrees C, the average dwell time spent in the O1, O2, and C states decreased by 44 +/- 11, 36 +/- 13, and 78 +/- 7% (n = 3 to 4 channels), respectively. The ratio of probabilities between the various conductance states was not strongly temperature sensitive. Analysis of the voltage dependence of this channel was carried out at 37 degrees C and revealed that the dwell times of the O1 and O2 states were voltage insensitive and the probability ratio (PO2:PO1) was approximately 7 and was voltage insensitive.(ABSTRACT TRUNCATED AT 250 WORDS)     

Intrinsic versus extrinsic voltage sensitivity of blocker interaction with an ion channel pore

Many physiological and synthetic agents act by occluding the ion conduction pore of ion channels. A hallmark of charged blockers is that their apparent affinity for the pore usually varies with membrane voltage. Two models have been proposed to explain this voltage sensitivity. One model assumes that the charged blocker itself directly senses the transmembrane electric field, i.e., that blocker binding is intrinsically voltage dependent. In the alternative model, the blocker does not directly interact with the electric field; instead, blocker binding acquires voltage dependence solely through the concurrent movement of permeant ions across the field. This latter model may better explain voltage dependence of channel block by large organic compounds that are too bulky to fit into the narrow (usually ion-selective) part of the pore where the electric field is steep. To date, no systematic investigation has been performed to distinguish between these voltage-dependent mechanisms of channel block. The most fundamental characteristic of the extrinsic mechanism, i.e., that block can be rendered voltage independent, remains to be established and formally analyzed for the case of organic blockers. Here, we observe that the voltage dependence of block of a cyclic nucleotide–gated channel by a series of intracellular quaternary ammonium blockers, which are too bulky to traverse the narrow ion selectivity filter, gradually vanishes with extreme depolarization, a predicted feature of the extrinsic voltage dependence model. In contrast, the voltage dependence of block by an amine blocker, which has a smaller “diameter” and can therefore penetrate into the selectivity filter, follows a Boltzmann function, a predicted feature of the intrinsic voltage dependence model. Additionally, a blocker generates (at least) two blocked states, which, if related serially, may preclude meaningful application of a commonly used approach for investigating channel gating, namely, inferring the properties of the activation gate from the kinetics of channel block.     

Substrate-dependent gating of anion channels associated with excitatory amino acid transporter 4

EAAT glutamate transporters do not only function as secondary-active glutamate transporters but also as anion channels. EAAT anion channel activity depends on transport substrates. For most isoforms, it is negligible without external Na(+) and increased by external glutamate. We here investigated gating of EAAT4 anion channels with various cations and amino acid substrates using patch clamp experiments on a mammalian cell line. We demonstrate that Li(+) can substitute for Na(+) in supporting substrate-activated anion currents, albeit with changed voltage dependence. Anion currents were recorded in glutamate, aspartate, and cysteine, and distinct time and voltage dependences were observed. For each substrate, gating was different in external Na(+) or Li(+). All features of voltage-dependent and substrate-specific anion channel gating can be described by a simplified nine-state model of the transport cycle in which only amino acid substrate-bound states assume high anion channel open probabilities. The kinetic scheme suggests that the substrate dependence of channel gating is exclusively caused by differences in substrate association and translocation. Moreover, the voltage dependence of anion channel gating arises predominantly from electrogenic cation binding and membrane translocation of the transporter. We conclude that all voltage- and substrate-dependent conformational changes of the EAAT4 anion channel are linked to transitions within the transport cycle.     

Deuterium oxide and temperature effects on the properties of endplate channels at the frog neuromuscular junction

The effects of deuterium oxide (D2O) and temperature on the properties of endplate channels were studied in voltage-clamped muscle fibers from the frog Rana pipiens. Studies were performed at temperatures of 8, 12, 16, and 20 degrees C. The single channel conductance (gamma) and mean channel lifetime (tau) were calculated from fluctuation analysis of the acetylcholine-induced end-plate currents. The reversal potential was determined by interpolation of the acetylcholine-induced current-voltage relation. The mean reversal potential was slightly more negative in D2O Ringer's (-7.9 +/- 0.1 mV [+/- SEM]) compared with H2O Ringer's (-5.2 +/- 0.6 mV, P less than 0.01). The single channel conductance was decreased in D2O. This decrease was greater than could be accounted for by the increased viscosity of D2O solutions, and the amount of the decrease was greater at higher temperatures. For example, gamma was 38.4 +/- 1.3 pS (+/- SEM) in H2O Ringer's and 25.7 +/- 1.0 pS in D2O Ringer's for a holding potential of -70 mV at 12 degrees C. The mean channel lifetime was significantly shorter in D2O, and the effect was greater at lower temperatures. There was not a strong effect of solvent on the temperature dependence of gamma. On the other hand, the temperature dependence of the reciprocal mean channel lifetime, alpha (where alpha = 1/tau), was strongly dependent upon the solvent. The single channel conductances showed no demonstrable voltage dependence over the range of -90 to -50 mV in both solvents. The reciprocal mean channel lifetime showed a voltage dependence, which could be described by the relation alpha = B exp(AV). The slope A was not strongly affected by either temperature or the solvent. On the other hand, the intercept B was a strong function of temperature and was weakly dependent upon the solvent, with most values greater in D2O. The D2O effects on alpha were what would be expected if they were due to the properties of D2O as a solvent (solvent isotope effects), while the D2O effects on gamma must also include the exchange of D for H in the vicinity of the selectivity filter (primary and/or secondary kinetic isotope effects).     

A model of IP3 receptor with a luminal calcium binding site: stochastic simulations and analysis

We have constructed a stochastic model of the inositol 1,4,5-trisphosphate receptor-Ca2+ channel that is based on quantitative measurements of the channel's properties. It displays the observed dependence of the open probability of the channel with cytosolic [Ca2+] and [IP3] and gives values for the dwell times that agree with the observations. The model includes an explicit dependence of channel gating with luminal calcium. This not only explains several observations reported in the literature, but also provides a possible explanation of why the open probabilities and shapes of the bell-shaped curves reported in [Nature 351 (1991) 751] and in [Proc. Natl. Acad. Sci. U.S.A. 269 (1998) 7238] are so different.     

Voltage-Dependent Gating in a “Voltage Sensor-Less” Ion Channel

The voltage sensitivity of voltage-gated cation channels is primarily attributed to conformational changes of a four transmembrane segment voltage-sensing domain, conserved across many levels of biological complexity. We have identified a remarkable point mutation that confers significant voltage dependence to Kir6.2, a ligand-gated channel that lacks any canonical voltage-sensing domain. Similar to voltage-dependent Kv channels, the Kir6.2[L157E] mutant exhibits time-dependent activation upon membrane depolarization, resulting in an outwardly rectifying current-voltage relationship. This voltage dependence is convergent with the intrinsic ligand-dependent gating mechanisms of Kir6.2, since increasing the membrane PIP₂ content saturates Po and eliminates voltage dependence, whereas voltage activation is more dramatic when channel Po is reduced by application of ATP or poly-lysine. These experiments thus demonstrate an inherent voltage dependence of gating in a “ligand-gated” K⁺ channel, and thereby provide a new view of voltage-dependent gating mechanisms in ion channels. Most interestingly, the voltage- and ligand-dependent gating of Kir6.2[L157E] is highly sensitive to intracellular [K⁺], indicating an interaction between ion permeation and gating. While these two key features of channel function are classically dealt with separately, the results provide a framework for understanding their interaction, which is likely to be a general, if latent, feature of the superfamily of cation channels.