Extensive editing of mRNAs for the squid delayed rectifier K+ channel regulates subunit tetramerization

We report the extensive editing of mRNAs that encode the classical delayed rectifier K+ channel (SqK(v)1.1A) in the squid giant axon. Using a quantitative RNA editing assay, 14 adenosine to guanine transitions were identified, and editing efficiency varied tremendously between positions. Interestingly, half of the sites are targeted to the T1 domain, important for subunit assembly. Other sites occur in the channel's transmembrane spans. The effects of editing on K+ channel function are elaborate. Edited codons affect channel gating, and several T1 sites regulate functional expression as well. In particular, the edit R87G, a phylogenetically conserved position, reduces expression close to 50-fold by regulating the channel's ability to form tetramers. These data suggest that RNA editing plays a dynamic role in regulating action potential repolarization in the giant axon.     

Phosphorylation of K+ channels in the squid giant axon. A mechanistic analysis

Protein phosphorylation is an important mechanism in the modulation of voltage-dependent ionic channels. In squid giant axons, the potassium delayed rectifier channel is modulated by an ATP-mediated phosphorylation mechanism, producing important changes in amplitude and kinetics of the outward current. The characteristics and biophysical basis for the phosphorylation effects have been extensively studied in this preparation using macroscopic, single-channel and gating current experiments. Phosphorylation produces a shift in the voltage dependence of all voltage-dependent parameters including open probability, slow inactivation, first latency, and gating charge transferred. The locus of the effect seems to be located in a fast 20 pS channel, with characteristics of delayed rectifier, but at least another channel is phosphorylated under our experimental conditions. These results are interpreted quantitatively with a mechanistic model that explains all the data. In this model the shift in voltage dependence is produced by electrostatic interactions between the transferred phosphate and the voltage sensor of the channel.     

Sodium channel activation in the squid giant axon. Steady state properties

Treatment of giant axons from the squid, Loligo pealei, with pronase removes Na channel inactivation. It was found that the peak Na current is increased, but the activation kinetics are not significantly altered, by pronase. Measurements of the fraction of open channels as a function of voltage (F-V) showed an e-folding at 7 mV and a center point near -15 mV. The rate of e-folding implies that a minimum of 4 e-/channel must cross the membrane field to open the channel. The charge vs. voltage (Q-V) curve measured in a pronase-treated axon is not significantly different from that measured when inactivation is intact: approximately 1,850 e-/micron2 were measured over the voltage range -150 to 50 mV, and the center point was near -30 mV. Normalizing these two curves (F-V and Q-V) and plotting them together reveals that they cross when inactivation is intact but saturate together when inactivation is removed. This illustrates the error one makes when measuring peak conductance with intact inactivation and interpreting that to be the fraction of open channels. A model is described that was used to interpret these results. In the model, we propose that inactivation must be slightly voltage dependent and that an interaction occurs between the inactivating particle and the gating charge. A linear sequence of seven states (a single open state with six closed states) is sufficient to describe the data presented here for Na channel activation in pronase-treated axons.     

Single channel studies of the phosphorylation of K+ channels in the squid giant axon. I. Steady-state conditions

Phosphorylation of the delayed rectifier channel of squid potentiates the macroscopic K+ current and slows its activation kinetics. We have studied this phenomenon at the single channel level using the cut-open axon technique under steady-state conditions. In 10 mM external K+/310 mM internal K+ there are predominantly two types of channels present, a 20-pS and a 40-pS channel. In steady state at depolarized potentials, the 40-pS channel was most active, whereas the 20-pS channel tended to disappear due to a slow inactivation process. Two methods were developed to shift the population of channels toward a dephosphorylated state. One method consisted of predialyzing a whole axon with solutions containing no ATP, while recording the currents under axial-wire voltage clamp. A piece of axon was then removed and cut open, and single channel currents were recorded from the cut-open axon. A second method was based on the difference in diffusion coefficients for ATP and proteins such as the endogenous phosphatase. The axon was cut open in a solution that did not contain Ca2+ or Cl- in order to maintain the axoplasm structurally intact and permit endogenous phosphatase to act on the membrane while ATP diffused away, before removing the axoplasm and forming a membrane patch. When dephosphorylating conditions were used, the steady-state open probability of the 40-pS channel at 42 mV was very low (less than 0.0002), and the channel openings appeared as a series of infrequent, short-duration events. The channel activity was increased up to 150-fold by photoreleasing caged ATP inside the patch pipette in the presence of the catalytic subunit of protein kinase A. The sharp increase in open probability could be accounted for by a decrease of the slow component of the closed time distribution from 23 s to 170 ms with little change in the distribution of open times (1-2 ms) and no change in the single channel current amplitude. In voltage-jump experiments the contribution of the 40-pS channel to the delayed rectifier current was often small due to the large values of the latency to the first opening.     

Single channel studies of the phosphorylation of K+ channels in the squid giant axon. II. Nonstationary conditions

The effects of phosphorylation on the properties of the 20-pS channel of the squid giant axon were studied using the cut-open axon technique. Phosphorylation of the channel was achieved by photoreleasing caged ATP (inside the patch pipette) in the presence of the catalytic subunit of the protein kinase A. An inverted K+ gradient (500 K+ external parallel 5 K+ internal) was used to study the activation process. Phosphorylation decreased the frequency of openings of the channel at most potentials by shifting the probability vs. voltage curve toward more positive potentials. The mean open times showed no voltage dependence and were not affected by phosphorylation. The distribution of first latencies, on the other hand, displayed a sharp voltage dependence. Phosphorylation increased the latency to the first opening at all potentials, shifting the median first latency vs. voltage curve toward more positive potentials. The slow inactivation process was studied in the presence of a physiological K+ gradient (10 K+ external parallel 310 K+ internal). Pulses to 40 mV from different holding potentials were analyzed. Phosphorylation increases the overall ensemble probability by decreasing the number of blank traces. A single channel inactivation curve was constructed by computing the relative appearance of blank traces at different holding potentials before and after photoreleasing caged ATP. As determined in dialyzed axons, the effect of phosphorylation consisted in a shift of the inactivation curve toward more positive potentials. The 20-pS channel has the same characteristics as the delayed rectifier current in activation kinetics, steady-state inactivation, and phosphorylation effects.     

Calcium currents in squid giant axon.

Voltage-clamp experiments were carried out on intracellularly perfused squid giant axons in a Na-free solution of 100 mM CaCl2+sucrose. The internal solution was 25 mM CsF+sucrose or 100 mM RbF+50mM tetraethylammonium chloride+sucrose. Depolarizing voltage clamp steps produced small inward currents; at large depolarizations the inward current reversed into an outward current. Tetrodotoxin completely blocked the inward current and part of the outward current. No inward current was seen with 100 mM MgCl2+sucrose as internal solution. It is concluded that the inward current is carried by Ca ions moving through the sodium channel. The reversal potential of the tetrodotoxin-sensitive current was +54mV with 25 mM CsF+sucrose inside and +10 mV with 100 mM RbF+50 mM tetraethylammonium chloride+sucrose inside. From the reversal potentials measured with varying external and internal solutions the relative permeabilities of the sodium channel for Ca, Cs and Na were calculated by means of the constant field equations. The results of the voltage-clamp experiments are compared with measurements of the Ca entry in intact axons.     

Response of delayed (K+) channels to the time-dependent clamping function in squid giant axon. I. Ascending ramps

Squid giant axons are voltage-clamped with ascending potential ramps whose slopes range from 0.5 mV/msec to 60 mV/msec and delayed (K+) currents are observed. The parametric current-voltage curves exhibit a delay period of minimal current followed by a rapid increase of current toward a final steady state. Both the initial delay and the slope of the subsequent rising phase increase with increasing ramp slope. When the Hodgkin-Huxley equations are used to generate theoretical current-voltage curves, the sharp difference between the delay and rising phases is muted and the ramp slope must be increased to produce an adequate representation of the data. A muted biphasic response is also observed when the current-voltage curves are generated using modified Hodgkin-Huxley parameters and a correction for K+ accumulation in the periaxonal space. These modified equations provide an accurate fit for step-potential clamp current data. Since the ramp experiments include all relevant clamping potentials, the experiments provide a sensitive test for kinetic models of K+ on flow in the delayed (K+) channels of squid giant axon.     

Asymmetric modulation and blockade of the delayed rectifier in squid giant axons by divalent cations.

The effects of intracellular magnesium ions and extracellular calcium and magnesium ions on the delayed rectifier potassium ion channel, IK, were investigated from intracellularly perfused squid giant axons. Cao+2 and Mgo+2 both blocked IK in a voltage-independent manner with a KD of approximately 100 and 500 mM, respectively. This effect was obscured at potentials in the vicinity of the resting potential (approximately -60 mV) by a rightward shift of the steady-state IK inactivation curve along the voltage axis. The addition of either calcium or magnesium ions to the extracellular solution also produced the well known shift of the IK activation curve along the voltage axis. Cao+2 was approximately twice as effective in this regard as Mgo+2. The IK activation kinetics were slowed by Cao+2, but deactivation kinetics were not altered, as shown previously. Similar results were obtained with Mgo+2. The addition of magnesium ions to the intracellular perfusate shifted the activation curve along the voltage axis in the negative direction (without producing block) by approximately the same among as the Mgo+2 shift of this curve in the positive direction. Moreover, Mgi+2 substantially slowed the deactivation kinetics, whereas the effects of Mgi+2 on activation kinetics at strongly depolarized potentials were relatively minor. At modest depolarizations, Mgi+2 significantly reduced the delay before IK activation. These results are essentially the mirror image of the effects on gating of extracellular divalent cations.     

Transient polarization currents in the squid giant axon.

It has been repeatedly noted that the change of conformation of the molecules that serve as the ion-selective channels for sodium and potassium conductance in the nerve membrane will be accompanied by a change in the dipole moment of the molecule. This time-dependent change of dipole moment will produce transient currents in the membrane. The canonical form for these currents is determined with conventional statistical mechanics formalism. It is pointed out that the voltage dependence of the conductance channel conductance determines the free energy of the system to within a factor that is an unknown function of the voltage. Since the dipole currents do not depend on this unknown function, they are completely determined 0y the observed properties of the conductance system. The predicted properties of these dipole currents, their time constants and strengths, are calculated. By using the observed properties of gating currents, the density of the sodium channels is computed. The predicted properties of the dipole currents are found to compare satisfactorily with the observed properties of gating currents.     

On the voltage dependence of inactivation in the sodium channel of the squid giant axon.

Measurements of the macroscopic sodium current in the squid giant axon show that the inactivation gate carries around 1.3 units of electronic charge. The contrary evidence from single-channel studies is considered, and a modified series-parallel model of the sodium channel is proposed that might help to resolve the disagreement.     

The early phase of sodium channel gating current in the squid giant axon

A fast component of displacement current which accompanies the sodium channel gating current has been recorded from the membrane of the giant axon of the squid Loligo forbesii. This component is characterized by relaxation time constants typically shorter than 25 µs. The charge displaced accounts for about 10% (or 2 nC/cm²) of the total displacement charge attributed to voltage-dependent sodium channels. Using a low noise, wide-band voltage clamp system and specially designed voltage step protocols we could demonstrate that this component: (i) is not a recording artifact; (ii) is kinetically independent from the sodium channel activation and inactivation processes; (iii) can account for a significant fraction of the initial amplitude of recorded displacement current and (iv) has a steady state charge transfer which saturates for membrane potentials above + 20 mV and below – 100 mV This component can be modelled as a single step transition using the Eyring-Boltzmann formalism with a quantal charge of 1 e^– and an asymmetrical energy barrier. Furthermore, if it were associated with the squid sodium channel, our data would suggest one fast transition per channel. A possible role as a sodium channel activation trigger, which would still be consistent with kinetic independence, is discussed. Despite uncertainties about its origin, the property of kinetic independence allows subtraction of this component from the total displacement current to reveal a rising phase in the early time course of the remaining current. This will have to be taken into account when modelling the voltage-dependent sodium channel.     

A model for conductance changes in the squid giant axon. II. Channel kinetics

The kinetics of the sodium and potassium channels in voltage clamped squid giant axon following a relaxation of the membrane subunits are examined and compared with the Hodgkin-Huxley equations. Mechanisms are suggested for the turn-off of the sodium conductance and a set of kinetic states are proposed for the potassium channel which are consistent with the experimental observations. Determination of the rate constants for relaxation of the surface subunits which triggers the subsequent changes within the independent channels provide information on the equilibrium constant and free energy for this process. The free energy is observed to approach zero as the depolarizing voltage of the clamp approaches $\text{E}{}_{\mathrm{<mtext>Na</mtext>}}$, the voltage for zero sodium current in voltage clamped axons. Analysis of the final rate constants in the kinetic sequence for potassium indicates a symmetry of the channel when it is in its steady-state configuration during clamp in the absence of external gradients.     

Anion conductances of the giant axon of squid Sepioteuthis.

Anion conductances of giant axons of squid, Sepioteuthis, were measured. The axons were internally perfused with a 100-mM tetraethylammonium-phosphate solution and immersed in a 100-mM Ca-salt solution (or Mg-salt solution) containing 0.3 microns tetrodotoxin. The external anion composition was changed. The membrane currents had a large amount of outward rectification due to anion influx across Cl- channels of the membrane (Inoue, 1985). The amount of outward rectification depended on the species of anion used and was strongly influenced by temperature and internal pH. In contrast to the anion conductances themselves, the conductance relative to Cl- (gA/gCl) was found to be quite stable against changes in the membrane potential, temperature, and pH. It is therefore suggested that each gA/gCl is an intrinsic quantity of the Cl- channel of the squid axon membrane. The sequence and values of gA/gCl obtained in this study were NO3- (1.80) greater than I- (1.40) greater than Br- (1.07) greater than Cl- (1.00) greater than MeSO3- (0.46) greater than H2PO2- (0.33) greater than CH3COO- (0.29) greater than SO4(2-) (0.06).     

Potassium conductance of the squid giant axon. Single-channel studies

The patch-clamp technique was implemented in the cut-open squid giant axon and used to record single K channels. We present evidence for the existence of three distinct types of channel activities. In patches that contained three to eight channels, ensemble fluctuation analysis was performed to obtain an estimate of 17.4 pS for the single-channel conductance. Averaged currents obtained from these multichannel patches had a time course of activation similar to that of macroscopic K currents recorded from perfused squid giant axons. In patches where single events could be recorded, it was possible to find channels with conductances of 10, 20, and 40 pS. The channel most frequently encountered was the 20-pS channel; for a pulse to 50 mV, this channel had a probability of being open of 0.9. In other single-channel patches, a channel with a conductance of 40 pS was present. The activity of this channel varied from patch to patch. In some patches, it showed a very low probability of being open (0.16 for a pulse to 50 mV) and had a pronounced lag in its activation time course. In other patches, the 40-pS channel had a much higher probability of being open (0.75 at a holding potential of 50 mV). The 40-pS channel was found to be quite selective for K over Na. In some experiments, the cut-open axon was exposed to a solution containing no K for several minutes. A channel with a conductance of 10 pS was more frequently observed after this treatment. Our study shows that the macroscopic K conductance is a composite of several K channel types, but the relative contribution of each type is not yet clear. The time course of activation of the 20-pS channel and the ability to render it refractory to activation only by holding the membrane potential at a positive potential for several seconds makes it likely that it is the predominant channel contributing to the delayed rectifier conductance.     

A sodium channel gating model based on single channel, macroscopic ionic, and gating currents in the squid giant axon.

Sodium channel gating behavior was modeled with Markovian models fitted to currents from the cut-open squid giant axon in the absence of divalent cations. Optimum models were selected with maximum likelihood criteria using single-channel data, then models were refined and extended by simultaneous fitting of macroscopic ionic currents, ON and OFF gating currents, and single-channel first latency densities over a wide voltage range. Best models have five closed states before channel opening, with inactivation from at least one closed state as well as the open state. Forward activation rate constants increase with depolarization, and deactivation rate constants increase with hyperpolarization. Rates of inactivation from the open or closed states are generally slower than activation or deactivation rates and show little or no voltage dependence. Channels tend to reopen several times before inactivating. Macroscopic rates of activation and inactivation result from a combination of closed, open and inactivated state transitions. At negative potentials the time to first opening dominates the macroscopic current due to slow activation rates compared with deactivation rates: channels tend to reopen rarely, and often inactivate from closed states before they reopen. At more positive potentials, the time to first opening and burst duration together produce the macroscopic current.     

Solute inaccessible aqueous volume changes during opening of the potassium channel of the squid giant axon.

We have applied solutions with varying osmotic pressures symmetrically to the inside and outside of perfused, TTX-treated, giant axons. The potassium conductance G decreased with increasing osmotic stress, but there was no effect on either the shape or the position of the voltage-current curve. One must distinguish three possible actions of the osmotic agent: osmotic stress, channel blocking, and lowered solution conductivity. To do so, we compared results obtained working with pairs of internal and external solutions of either (a) equal osmotic stress, (b) equal conductivity, or (c) the same blocking agent. There was the same change in G irrespective of the type of stressing species (sorbitol or sucrose); this provides some evidence against a blocking mechanism. The conductivity of the external solution had a small effect on K currents; internal solution conductivity had none. A change in series resistance of the Schwann cell layer could account for the small effect of external solution conductivity. The primary cause of G depression appears, then, to be the applied osmotic stress. Using this result, we have developed models in which the channel has a transition between closed states under voltage control but osmotically insensitive and a closed/open step that is voltage-independent but osmotically sensitive. We have assumed that the conductance of this open state does not change with osmotic stress. In this way, we estimate that an additional 1,350 +/- 200 A3 or 40-50 molecules of solute-inaccessible water appear to associate with the average delayed rectifier potassium channel of the squid axon when it opens.