Continuum Gating Current Models Computed with Consistent Interactions

The action potential of nerve and muscle is produced by voltage-sensitive channels that include a specialized device to sense voltage. The voltage sensor depends on the movement of charges in the changing electric field as suggested by Hodgkin and Huxley. Gating currents of the voltage sensor are now known to depend on the movements of positively charged arginines through the hydrophobic plug of a voltage sensor domain. Transient movements of these permanently charged arginines, caused by the change of transmembrane potential V, further drag the S4 segment and induce opening/closing of the ion conduction pore by moving the S4-S5 linker. This moving permanent charge induces capacitive current flow everywhere. Everything interacts with everything else in the voltage sensor and protein, and so it must also happen in its mathematical model. A Poisson-Nernst-Planck (PNP)-steric model of arginines and a mechanical model for the S4 segment are combined using energy variational methods in which all densities and movements of charge satisfy conservation laws, which are expressed as partial differential equations in space and time. The model computes gating current flowing in the baths produced by arginines moving in the voltage sensor. The model also captures the capacitive pile up of ions in the vestibules that link the bulk solution to the hydrophobic plug. Our model reproduces the signature properties of gating current: 1) equality of ON and OFF charge Q in integrals of gating current, 2) saturating voltage dependence in the Q(charge)-voltage curve, and 3) many (but not all) details of the shape of gating current as a function of voltage. Our results agree qualitatively with experiments and can be improved by adding more details of the structure and its correlated movements. The proposed continuum model is a promising tool to explore the dynamics and mechanism of the voltage sensor.     

Charge dissociation and the rising phase of gating currents

Gating currents from voltage-sensitive channels are generally attributed to the translocation or redistribution of ionic charge associated with the channel molecule. Such charge moves in the direction of the applied field to produce a decreasing current in the external circuit. An early rising phase for the gating current is observed for a number of channel systems and might be either some special kinetic redistribution of charge or an experimental artifact. A model that produces net charge in the channel through sequential molecular dissociation of a charged channel segment gives a rising phase for the gating current. Translocation of the charged segment produces the decay phase for a biphasic gating current. This kinetic molecular explanation constitutes a physical explanation for the biphasic gating currents that is consistent with present views of channel structure.     

Glutamate 268 regulates transport probability of the anion/proton exchanger ClC-5

The Cl(-)/H(+) exchange mediated by ClC transporters can be uncoupled by external SCN(-) and mutations of the proton glutamate, a conserved residue at the internal side of the protein. We show here for the mammalian ClC transporter ClC-5 that acidic internal pH led to a greater increase in currents upon exchanging extracellular Cl(-) for SCN(-). However, transport uncoupling, unitary current amplitudes, and the voltage dependence of the depolarization-induced activation were not altered by low pH values. Therefore, it is likely that an additional gating process regulates ClC-5 transport. Higher internal [H(+)] and the proton glutamate mutant E268H altered the ratio between ClC-5 transport and nonlinear capacitance, indicating that the gating charge movements in ClC-5 arise from incomplete transport cycles and that internal protons increase the transport probability of ClC-5. This was substantiated by site-directed sulfhydryl modification of the proton glutamate mutant E268C. The mutation exhibited small transport currents together with prominent gating charge movements. The charge restoration using a negatively charged sulfhydryl reagent reinstated also the WT phenotype. Neutralization of the charge of the gating glutamate 211 by the E211C mutation abolished the effect of internal protons, showing that the increased transport probability of ClC-5 results from protonation of this residue. S168P (a mutation that decreases the anion affinity of the central binding site) reduced also the internal pH dependence of ClC-5. These results support the idea that protonation of the gating glutamate 211 at the central anion-binding site of ClC-5 is mediated by the proton glutamate 268.     

Voltage sensitivity and gating charge in Shaker and Shab family potassium channels.

The members of the voltage-dependent potassium channel family subserve a variety of functions and are expected to have voltage sensors with different sensitivities. The Shaker channel of Drosophila, which underlies a transient potassium current, has a high voltage sensitivity that is conferred by a large gating charge movement, approximately 13 elementary charges. A Shaker subunit's primary voltage-sensing (S4) region has seven positively charged residues. The Shab channel and its homologue Kv2.1 both carry a delayed-rectifier current, and their subunits have only five positively charged residues in S4; they would be expected to have smaller gating-charge movements and voltage sensitivities. We have characterized the gating currents and single-channel behavior of Shab channels and have estimated the charge movement in Shaker, Shab, and their rat homologues Kv1.1 and Kv2.1 by measuring the voltage dependence of open probability at very negative voltages and comparing this with the charge-voltage relationships. We find that Shab has a relatively small gating charge, approximately 7.5 e(o). Surprisingly, the corresponding mammalian delayed rectifier Kv2.1, which has the same complement of charged residues in the S2, S3, and S4 segments, has a gating charge of 12.5 e(o), essentially equal to that of Shaker and Kv1.1. Evidence for very strong coupling between charge movement and channel opening is seen in two channel types, with the probability of voltage-independent channel openings measured to be below 10(-9) in Shaker and below 4 x 10(-8) in Kv2.1.     

Contributions of charged residues in a cytoplasmic linking region to Na channel gating

Na channels inactivate quickly after opening, and the very highly positively charged cytoplasmic linking region between homologous domains III and IV of the channel molecule acts as the inactivation gate. To test the hypothesis that the charged residues in the domain III to domain IV linker have a role in channel function, we measured currents through wild-type and two mutant skeletal muscle Na channels expressed in Xenopus oocytes, each lacking two or three charged residues in the inactivation gate. Microscopic current measures showed that removing charges hastened activation and inactivation. Macroscopic current measures showed that removing charges altered the voltage dependence of inactivation, suggesting less coupling of the inactivation and activation processes. Reduced intracellular ionic strength shifted the midpoint of equilibrium activation gating to a greater extent, and shifted the midpoint of equilibrium inactivation gating to a lesser extent in the mutant channels. The results allow the possibility that an electrostatic mechanism contributes to the role of charged residues in Na channel inactivation gating.     

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.     

Evidence for negative gating charges in Myxicola axons

In Myxicola giant axons, the total amount of intramembrane charge available to move over the range -80 to + 120 mV decreases by 23% when the external pH is reduced from 7.3 to 5.5. The remaining charge moves more slowly at the onset of depolarizing pulse, but the rate of charge movement at the end of the pulse is unchanged. In contrast to acidic external pH, intramembrane charge movements are insensitive to alkaline external pH or any change in the internal pH. The results are consistent with a hypothesis in which a portion of the initial outward gating current consists of titratable negative charges moving inward.     

Effects of external protons on single cardiac sodium channels from guinea pig ventricular myocytes.

The effects of external protons on single sodium channel currents recorded from cell-attached patches on guinea pig ventricular myocytes were investigated. Extracellular protons reduce single channel current amplitude in a dose-dependent manner, consistent with a simple rapid channel block model where protons bind to a site within the channel with an apparent pKH of 5.10. The reduction in single channel current amplitude by protons is voltage independent between -70 and -20 mV. Increasing external proton concentration also shifts channel gating parameters to more positive voltages, consistent with previous macroscopic results. Similar voltage shifts are seen in the steady-state inactivation (h infinity) curve, the time constant for macroscopic current inactivation (tau h), and the first latency function describing channel activation. As pHo decreases from 7.4 to 5.5 the midpoint of the h infinity curve shifts from -107.6 +/- 2.6 mV (mean +/- SD, n = 16) to -94.3 +/- 1.9 mV (n = 3, P less than 0.001). These effects on channel gating are consistent with a reduction in negative surface potential due to titration of negative external surface charge. The Gouy-Chapman-Stern surface charge model incorporating specific proton binding provides an excellent fit to the dose-response curve for the shift in the midpoint of the h infinity curve with protons, yielding an estimate for total negative surface charge density of -1e/490 A2 and a pKH for proton binding of 5.16. By reducing external surface Na+ concentration, titration of negative surface charge can also quantitatively account for the reduction in single Na+ channel current amplitude, although we cannot rule out a potential role for channel block. Thus, titration by protons of a single class of negatively charged sites may account for effects on both single channel current amplitude and gating.     

Physical and molecular basis of ion channel gating: Can electrostatic interactions close the ion channel?

We analyzed voltage-dependent ion channel structure and conformational changes corresponding to channel gating. During the gating, S4 segments, as well as other parts of the channel, undergo a set of conformational modifications. These changes are accompanied by complicated movements of positive charges that are mostly located in the S4 segments. These charges electrostatically interact with the ions passing through the channel. The interaction energy depends on the conformational state of the channel, i.e., on the mutual positions of the permeant ions and these charges. Analyzing and making energetical estimations, we propose a hypothesis: the closed state of the ion channel corresponds to the S4 position when electrostatic interaction between positively charged groups of the S4 segments and permeant ions is strong enough to close the pathway for these ions.     

Effects of membrane surface charge and calcium on the gating of rat brain sodium channels in planar bilayers [published erratum appears in J Gen Physiol 1989 Apr;93(4):following 760]

The voltage-dependent gating of single, batrachotoxin-activated Na channels from rat brain was studied in planar lipid bilayers composed of negatively charged or neutral phospholipids. The relationship between the probability of finding the Na channel in the open state and the membrane potential (Po vs. Vm) was determined in symmetrical NaCl, both in the absence of free Ca2+ and after the addition of Ca2+ to the extracellular side of the channel, the intracellular side, or both. In the absence of Ca2+, neither the midpoint (V0.5) of the Po vs. Vm relation, nor the steepness of the gating curve, was affected by the charge on the bilayer lipid. The addition of 7.5 mM Ca2+ to the external side caused a depolarizing shift in V0.5. This depolarizing shift was approximately 17 mV in neutral bilayers and approximately 25 mV in negatively charged bilayers. The addition of the same concentration of Ca2+ to only the intracellular side caused hyperpolarizing shifts in V0.5 of approximately 7 mV (neutral bilayers) and approximately 14 mV (negatively charged bilayers). The symmetrical addition of Ca2+ caused a small depolarizing shift in Po vs. Vm. We conclude that: (a) the Na channel protein possesses negatively charged groups on both its inner and outer surfaces. Charges on both surfaces affect channel gating but those on the outer surface exert a stronger influence. (b) Negative surface charges on the membrane phospholipid are close enough to the channel's gating machinery to substantially affect its operation. Charges on the inner and outer surfaces of the membrane lipid affect gating symmetrically. (c) Effects on steady-state Na channel activation are consistent with a simple superposition of contributions to the local electrostatic potential from charges on the channel protein and the membrane lipid.     

A physical model of potassium channel activation: from energy landscape to gating kinetics

We have developed a method for rapidly computing gating currents from a multiparticle ion channel model. Our approach is appropriate for energy landscapes that can be characterized by a network of well-defined activation pathways with barriers. To illustrate, we represented the gating apparatus of a channel subunit by an interacting pair of charged gating particles. Each particle underwent spatial diffusion along a bistable potential of mean force, with electrostatic forces coupling the two trajectories. After a step in membrane potential, relaxation of the smaller barrier charge led to a time-dependent reduction in the activation barrier of the principal gate charge. The resulting gating current exhibited a rising phase similar to that measured in voltage-dependent ion channels. Reduction of the two-dimensional diffusion landscape to a circular Markov model with four states accurately preserved the time course of gating currents on the slow timescale. A composite system containing four subunits leading to a concerted opening transition was used to fit a series of gating currents from the Shaker potassium channel. We end with a critique of the model with regard to current views on potassium channel structure.     

Gating rearrangements in cyclic nucleotide-gated channels revealed by patch-clamp fluorometry

Site-specific fluorescence recordings have shown great promise in understanding conformational changes in signaling proteins. The reported applications on ion channels have been limited to extracellular sites in whole oocyte preparations. We are now able to directly monitor gating movements of the intracellular domains of cyclic nucleotide-gated channels using simultaneous site-specific fluorescence recording and patchclamp current recording from inside-out patches. Fluorescence signals were reliably observed when fluorophore was covalently attached to a site between the cyclic nucleotide-binding domain and the pore. While iodide, an anionic quencher, has a higher quenching efficiency in the channel's closed state, thallium ion, a cationic quencher, has a higher quenching efficiency in the open state. The state and charge dependence of quenching suggests movements of charged or dipolar residues near the fluorophore during CNG channel activation.     

Collapse of conductance is prevented by a glutamate residue conserved in voltage-dependent K(+) channels

Voltage-dependent K(+) channel gating is influenced by the permeating ions. Extracellular K(+) determines the occupation of sites in the channels where the cation interferes with the motion of the gates. When external [K(+)] decreases, some K(+) channels open too briefly to allow the conduction of measurable current. Given that extracellular K(+) is normally low, we have studied if negatively charged amino acids in the extracellular loops of Shaker K(+) channels contribute to increase the local [K(+)]. Surprisingly, neutralization of the charge of most acidic residues has minor effects on gating. However, a glutamate residue (E418) located at the external end of the membrane spanning segment S5 is absolutely required for keeping channels active at the normal external [K(+)]. E418 is conserved in all families of voltage-dependent K(+) channels. Although the channel mutant E418Q has kinetic properties resembling those produced by removal of K(+) from the pore, it seems that E418 is not simply concentrating cations near the channel mouth, but has a direct and critical role in gating. Our data suggest that E418 contributes to stabilize the S4 voltage sensor in the depolarized position, thus permitting maintenance of the channel open conformation.     

Asymmetric electrostatic effects on the gating of rat brain sodium channels in planar lipid membranes.

The effects of ionic strength (10-1,000 mM) on the gating of batrachotoxin-activated rat brain sodium channels were studied in neutral and in negatively charged lipid bilayers. In neutral bilayers, increasing the ionic strength of the extracellular solution, shifted the voltage dependence of the open probability (gating curve) of the sodium channel to more positive membrane potentials. On the other hand, increasing the intracellular ionic strength shifted the gating curve to more negative membrane potentials. Ionic strength shifted the voltage dependence of both opening and closing rate constants of the channel in analogous ways to its effects on gating curves. The voltage sensitivities of the rate constants were not affected by ionic strength. The effects of ionic strength on the gating of sodium channels reconstituted in negatively charged bilayers were qualitatively the same as in neutral bilayers. However, important quantitative differences were noticed: in low ionic strength conditions (10-150 mM), the presence of negative charges on the membrane surface induced an extra voltage shift on the gating curve of sodium channels in relation to neutral bilayers. It is concluded that: (a) asymmetric negative surface charge densities in the extracellular (1e-/533A2) and intracellular (1e-/1,231A2) sides of the sodium channel could explain the voltage shifts caused by ionic strength on the gating curve of the channel in neutral bilayers. These surface charges create negative electric fields in both the extracellular and intracellular sides of the channel. Said electric fields interfere with gating charge movements that occur during the opening and closing of sodium channels; (b) the voltage shifts caused by ionic strength on the gating curve of sodium channels can be accounted by voltage shifts in both the opening and closing rate constants; (c) net negative surface charges on the channel's molecule do not affect the intrinsic gating properties of sodium channels but are essential in determining the relative position of the channel's gating curve; (d) provided the ionic strength is below 150 mM, the gating machinery of the sodium channel molecule is able to sense the electric field created by surface changes on the lipid membrane. I propose that during the opening and closing of sodium channels, the gating charges involved in this process are asymmetrically displaced in relation to the plane of the bilayer. Simple electrostatic calculations suggest that gating charge movements are influenced by membrane electrostatic potentials at distances of 48 and 28 A away from the plane of the membrane in the extracellular sides of the channel, respectively.     

Blockade of sodium and potassium channels in the node of Ranvier by ajmaline and N-propyl ajmaline

The inhibition of sodium and potassium currents in frog myelinated fibres by ajmaline (AM) and its quaternary derivative, N-propyl ajmaline (NPA), depends on voltage-clamp pulses and the state of channel gating mechanisms. The permanently charged NPA and protonated AM interact only (or mainly) with open channels, while unprotonated AM affects preferently inactivated Na channels. Inhibition of Na currents by NPA and AM does not depend on the current direction and Na ion concentration in external or internal media. In contrast only the outward potassium currents can be blocked by NPA and AM; the inward potassium currents in high K+ ions external media are resistant to the blocking action of these drugs. The voltage dependence of ionic current inhibition by charged drugs suggests the location of their binding sites in the inner mouths of Na and K channels. Judging by the kinetics of current restoration after cessation of pulsing, the drug-binding site complex is much more stable in Na than in potassium channels. Batrachotoxin and aconitine, unlike veratridine and sea anemone toxin, decrease greatly the affinity of Na channel binding sites to NPA and AM. The effects of NPA and AM are compared with those of local anesthetics and other amine blocking drugs.     

Isolation of myocardial L-type calcium channel gating currents with the spider toxin omega-Aga-IIIA

The peptide omega-agatoxin-IIIA (omega-Aga-IIIA) blocks ionic current through L-type Ca channels in guinea pig atrial cells without affecting the associated gating currents. omega-Aga-IIIA permits the study of L- type Ca channel ionic and gating currents under nearly identical ionic conditions. Under conditions that isolate L-type Ca channel currents, omega-Aga-IIIA blocks all ionic current during a test pulse and after repolarization. This block reveals intramembrane charge movements of equal magnitude and opposite sign at the beginning of the pulse (Q(on)) and after repolarization (Q(off)). Q(on) and Q(off) are suppressed by 1 microM felodipine, saturate with increasing test potential, and are insensitive to Cd. The decay of the transient current associated with Q(on) is composed of fast and slow exponential components. The slow component has a time constant similar to that for activation of L-type Ca channel ionic current, over a broad voltage range. The current associated with Q(off) decays monoexponentially and more slowly than ionic current. Similar charge movements are found in guinea pig tracheal myocytes, which lack Na channels and T-type Ca channels. The kinetic and pharmacological properties of Q(on) and Q(off) indicate that they reflect gating currents associated with L-type Ca channels. omega-Aga-IIIA has no effect on gating currents when ionic current is eliminated by stepping to the reversal potential for Ca or by Cd block. Gating currents constitute a significant component of total current when physiological concentrations of Ca are present and they obscure the activation and deactivation of L-type Ca channels. By using omega- Aga-IIIA, we resolve the entire time course of L-type Ca channel ionic and gating currents. We also show that L- and T-type Ca channel ionic currents can be accurately quantified by tail current analysis once gating currents are taken into account.     

Saxitoxin and tetrodotoxin. Electrostatic effects on sodium channel gating current in crayfish axons.

The effects of extracellular saxitoxin (STX) and tetrodotoxin (TTX) on gating current (IgON) were studied in voltage clamped crayfish giant axons. At a holding potential (VH) of -90 mV, integrated gating charge (QON) was found to be 56% suppressed when 200 nM STX was added to the external solution, and 75% suppressed following the addition of 200 nM TTX. These concentrations of toxin are sufficiently high to block greater than 99% of sodium channels. A smaller suppression of IgON was observed when 1 nM STX was used (KD = 1-2 nM STX). The suppression of IgON by external toxin was found to be hold potential dependent, with only minimal suppression observed at the most hyperpolarized hold potentials, -140 to -120 mV. The maximal effect of these toxins on IgON was observed at hold potentials where the QON vs. VH plot was found to be steepest, -100 to -80 mV. The suppression of IgON induced by TTX is partially relieved following the removal of fast inactivation by intracellular treatment with N-bromoacetamide (NBA). The effect of STX and TTX on IgON is equivalent to a hyperpolarizing shift in the steady state inactivation curve, with 200 nM STX and 200 nM TTX inducing shifts of 4.9 +/- 1.7 mV and 10.0 +/- 2.1 mV, respectively. Our results are consistent with a model where the binding of toxin displaces a divalent cation from a negatively charged site near the external opening of the sodium channel, thereby producing a voltage offset sensed by the channel gating apparatus.     

Variable ratio of permeability to gating charge of rBIIA sodium channels and sodium influx in Xenopus oocytes

Whole-cell gating current recording from rat brain IIA sodium channels in Xenopus oocytes was achieved using a high-expression system and a newly developed high-speed two-electrode voltage-clamp. The resulting ionic currents were increased by an order of magnitude. Surprisingly, the measured corresponding gating currents were approximately 5-10 times larger than expected from ionic permeability. This prompted us to minimize uncertainties about clamp asymmetries and to quantify the ratio of sodium permeability to gating charge, which initially would be expected to be constant for a homogeneous channel population. The systematic study, however, showed a 10- to 20-fold variation of this ratio in different experiments, and even in the same cell during an experiment. The ratio of P(Na)/Q was found to correlate with substantial changes observed for the sodium reversal potential. The data suggest that a cytoplasmic sodium load in Xenopus oocytes or the energy consumption required to regulate the increase in cytoplasmic sodium represents a condition where most of the expressed sodium channels keep their pore closed due to yet unknown mechanisms. In contrast, the movements of the voltage sensors remain undisturbed, producing gating current with normal properties.     

Ion permeation through a voltage- sensitive gating pore in brain sodium channels having voltage sensor mutations

Voltage-gated sodium channels activate in response to depolarization, but it is unknown whether the voltage-sensing arginines in their S4 segments pivot across the lipid bilayer as voltage sensor paddles or move through the protein in a gating pore. Here we report that mutation of pairs of arginine gating charges to glutamine induces cation permeation through a gating pore in domain II of the Na(V)1.2a channel. Mutation of R850 and R853 induces a K(+)-selective inward cationic current in the resting state that is blocked by activation. Remarkably, mutation of R853 and R856 causes an outward cationic current with the opposite gating polarity. These results support a model in which the IIS4 gating charges move through a narrow constriction in a gating pore in the sodium channel protein during gating. Paired substitutions of glutamine allow cation movement through the constriction when appropriately positioned by the gating movements of the S4 segment.     

Consequences of phosphate-arginine complexes in voltage gated ion channels

There are two reasons for suspecting that phosphate complexes of arginine make it very difficult to derive gating charge in voltage gated potassium (and presumably sodium) channels from the motion of charged arginines. For one thing, the arginines should be complexed with phosphate, thereby neutralizing the charge, at least partially. Second, Li et al1 have shown that there is a large energy penalty for putting a charged arginine into a membrane. Ion channel gating current is generally attributed to S4 motion, in that the S4 segment of the voltage sensing domain (VSD) of these channels contains arginines, some of which are not (or at least not obviously) salt bridged, or otherwise charge compensated. There is, however, good reason to expect that there should be a complex of these arginines with phosphate, very probably from lipid headgroups. This has consequences for gating current; the complexed arginines, if they moved, would carry too little charge to provide the observed gating current, if they carried any net charge at all. This leads to the suggestion that an alternative to S4 physical motion, H+ transport, should be considered as a possible resolution of the apparent paradox. The consequences for a gating model that was proposed in our earlier work are discussed; there is one major difference in the model in the present form (a conformational change), but the proton cascade as gating current and the role of water in the closed state are reinforced.