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Department of Cellular and Physiological Sciences, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z3
Correspondence: Address reprint requests to S. J. Kehl, Tel.: 604-822-2185; Fax: 604-822-2316; E-mail: skehl{at}interchange.ubc.ca.
| ABSTRACT |
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| INTRODUCTION |
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To get a clearer picture of the mechanistic basis for the current inhibition by external protons in Kv1.5, currents through single Kv1.5 channels were studied. Our results show that single channel current (i) is not affected by changing the extracellular pH and indicate that a change of Po is the basis for the effect. Consistent with the acceleration of inactivation of residual macroscopic currents at low pH, there was, in sweeps showing channel activity, a decrease of the mean burst duration and an increase of the mean interburst duration, suggesting a stabilization of inactivation. Within bursts, channel gating between the open state and closed states outside of the activation pathway was only slightly affected, if at all. The main cause of the pH-induced current inhibition of Kv1.5 was an increased probability of a gating mode where the channel was unavailable for activation.
| MATERIALS AND METHODS |
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Electrophysiology
Single channel current (i) and whole-cell current (I) were recorded in either the cell-attached or, in experiments where responses at two different pHs were compared, the outside-out patch configuration. For cell-attached recordings, the bath solution was assumed to depolarize the cell to 0 mV; it contained (in millimolar) 140 KCl, 3.5 NaCl, 2 CaCl2, 1 MgCl2, 5 glucose, 10 HEPES and was adjusted to pH 7.4 with NaOH; the patch pipette (external) solution contained 140 NaCl, 3.5 KCl, 2 CaCl2, 1 MgCl2, 5 glucose and was adjusted either to pH 7.4 with 10 HEPES/NaOH or to pH 6.4 with 10 MES/NaOH. For recordings from an outside-out patch or in the whole-cell configuration, the bath (external) solution contained 140 NaCl, 3.5 KCl, 2 CaCl2, 1 MgCl2, 5 glucose and was adjusted to pH 7.4 (10 HEPES/NaOH), 6.4 (10 MES/NaOH), or 5.9 (10 MES/NaOH); the patch pipette (internal) solution contained 130 KCl, 10 EGTA, 10 HEPES, 4.75 CaCl2, 1.38 MgCl2 and was adjusted to pH 7.4 with KOH. The free [Ca2+] and [Mg2+] were calculated to be 50 nM and 1 mM, respectively, using the MaxChelator program (Stanford University, Stanford, CA). In subsequent text the reference to pH means the extracellular pH. All chemicals were purchased from Sigma-Aldrich (Mississauga, ON, Canada).
Voltage commands and current measurements were made with an EPC-7 patch clamp amplifier connected to an ITC-18 digital interface (Instrutech, Port Washington, NY) and controlled by Pulse software (HEKA Electronik, Lambrecht, Germany). Patch electrodes pulled from thin-walled borosilicate glass (World Precision Instruments, Sarasota, FL) had a resistance measured with recording solutions of 825 M
. Current signals were low-pass filtered at 3 kHz (3dB, 8-pole Bessel, NPI Electronics, Tamm, Germany) and digitized at 10 kHz with a 16-bit A/D converter. Cells were held at 80 mV at rest. A junction potential of 4 mV was compensated in the voltage measurements in the outside-out patch configuration; no junction potential correction was made for data acquired in the cell-attached recording mode.
Data analysis
Outside-out recordings were made at room temperature (2025°C) and involved exclusively one-channel patches identified as such by the absence of overlapping open events in pH 7.4 solution at a potential, usually 100 mV, where the open probability was high. In cell-attached recordings it was not possible to change the pH of the solution in the recording electrode, and although patches containing one channel could be identified unequivocally at pH 7.4 this was not the case at pH 6.4 where the open probability was lower. Single channel records were analyzed with TAC and TACFit software (Bruxton, Seattle, WA) after digital filtering at 1 kHz. Capacitive currents were removed by subtracting the average of sweeps obtained at the same voltage that showed no channel activity (i.e., blank or "null" sweeps). Given a combined analog and digital filter frequency of 950 Hz, the dead time of the system was calculated to be 0.3 ms using the formula 0.253/f, where f represents the overall combined analog and digital filter cutoff frequency in Hz (9
). Half-amplitude threshold analysis, with a rise time of 0.3 ms, was used to detect events and generate idealized records from which dwell time histograms and ensemble time courses were constructed. Events with durations shorter than the dead time were censored. Although there was evidence for a conductance substate in some traces (e.g., Fig. 1), this phenomenon was not analyzed in detail due to its relatively infrequent occurrence. For the analysis of gating kinetics a burst was defined as a group of brief open and closed events followed by a closed interval of 20 ms or more. There was no correction for missed events in the analysis of dwell time histograms that were fitted to exponential functions. The choice of the number of components used for fitting was based on a maximum likelihood technique, in which the least number of components with a significant improvement was used (10
). A value of twice the difference in log likelihood (i.e., 2|LL1 LL2|) being greater than the
2 value with a given degrees of freedom (
) is considered significant. The number of degrees of freedom is equal to the difference in free parameters between the models (10
). Averaged results are expressed as the mean ± SE unless otherwise stated. Results for fitting histograms and the Hill equation are given as the mean ± SD. Statistical tests (Student's t-test, ANOVA) were performed with Jmp In Software (SAS Institute, Cary, NC). A probability of <0.05 was considered significant.
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![]() | (1) |
The expected number of runs is 2np(1 p). A smaller than expected number of runs implies clustering and generates values of Z > 0. Conversely, a value of Z < 0 indicates a tendency to alternate between null and active sweeps (13
). The value of Z was compared to the normal distribution to determine the statistical significance; a value >1.64 indicated behavior that was nonrandom and clustered (p < 0.05, one-tail test (14
,15
)).
Contingency tables (2 x 2) were constructed to determine whether, at pH 6.4, there was a correlation between a sweep ending in an inactivated or noninactivated state and the following sweep being active or null.
2 analyses were performed using the equation
![]() | (2) |
and
represent, respectively, the experimental and expected frequency for row i and column j (16
2 value >3.841 is considered significant (p < 0.05,
= 1). | RESULTS |
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are shown in Fig. 1 A. As noted above, Kv1.5 exhibits conductance substate behavior (marked by arrows) but these were not systematically analyzed. As with ShakerIR (inactivation-removed) channels (9
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Fig. 1, C and D, shows representative current traces recorded from another outside-out patch at pH 5.9 and after recovery at pH 7.4 using the same voltage protocol as in Fig. 1 A. At pH 5.9, the number of null sweeps was even higher; there was no evidence of channel activity in 11 of the 12 sweeps shown. The absence of activity in the first sweep suggests that depolarization-induced inactivation is unlikely to account for the null sweeps. In addition, the series of 10 consecutive null sweeps observed over a period of
150 s is not likely to be due to a failure to recover from depolarization-induced inactivation since the recovery of residual macroscopic currents from inactivation at pH 5.4 with 3.5 mM
is
4 s (18
). This long period of inactivity is not likely to be due to entry into a defunct state since K+ was present in both the intracellular and extracellular solution and recovery did not require a long depolarizing pulse (19
). Recovery responses were obtained after switching the bath solution back to pH 7.4, demonstrating that the dramatic decrease of channel availability at pH 5.9 was also not due to the spontaneous loss of the channel from the patch. Furthermore, the single channel current (i) did not change between pH 5.9 and pH 7.4 (Fig. 1, C and D). Similar results were observed in two other patches. Together, these results show that decreasing external pH decreases the availability but not the single channel current of Kv1.5.
Analysis of single channel currents over a range of voltages confirmed that the single channel conductance is not affected by changing pH. Representative unitary currents recorded at 0100 mV in 20 mV increments at pH 7.4 or 6.4 from different outside-out patches are shown in Fig. 2 A. The graph in panel B shows the i-V relationship based on data from three cells, derived from all-points histograms as described for Fig. 1, at pH 7.4 (open circles) and pH 6.4 (solid circles). A line fitted to the data gave a slope conductance (
; mean ± SD) of 11.8 ± 0.6 pS at pH 7.4 and 11.3 ± 0.8 pS at pH 6.4, which were not significantly different. This finding, together with the data of Fig. 1, allowed us to reject the hypothesis that the reduction in macroscopic current by acidification is due to the reduction of the single channel conductance arising either by a change of the permeation pathway or by occlusion of the pore. Instead, the results of Figs. 1 and 2 indicate: 1), that the low pH-induced decrease of macroscopic current must arise solely by an effect on channel gating, and 2), that depolarization-induced inactivation is unlikely to play a significant role in the mechanism responsible for the null sweeps.
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; Fig. 3 of Kehl et al. (3
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The decrease in availability may result from an increase in the number of random null sweeps or from a modal gating scheme in which the null (or active) sweeps are clustered together. To determine if gating was modal, unitary currents through cell-attached patches were recorded using a pipette solution buffered to pH 7.4 or 6.4, and the voltage protocol consisted of a 150 ms pulse at 100 mV applied at an interval of 3 s. The attached cell was depolarized by a high [K+] bath solution and its resting potential was assumed to be 0 mV. It was also assumed that the absence of more than one (main conductance) open level indicated that the patch contained just one channel. A representative diary plot of Po per trace at pH 7.4 (panel A) and 6.4 (panel B) is shown in Fig. 4. At pH 6.4, the diary plot indicates a clear tendency for alternating periods of null and active traces, and for that reason a runs analysis was done (see Materials and Methods) to determine if sweeps showing similar channel behavior were clustered, i.e., that gating was modal. Sweeps were labeled as either unavailable (U) for null traces or available (A) for traces showing one or more openings of the channel. Using Eq. 1, the Z values were calculated to be 5.0 ± 1.3 (range 1.7719.6; n = 6) at pH 7.4 and 6.3 ± 1.0 (range 2.859.17; n = 7) at pH 6.4. Both values indicate a significant clustering (p < 0.001) of active and null sweeps.
To estimate the average lifetimes of epochs of U and A sweeps, histograms were constructed from the numbers of consecutive sweeps with either type of gating. Data at pH 7.4 or 6.4 were combined from six and seven one-channel, cell-attached patches, respectively (14
), and represent a total of 1502 sweeps (1308 A sweeps, 194 U sweeps) at pH 7.4 and 843 sweeps (385 A sweeps, 458 U sweeps) at pH 6.4. Despite the large number of sweeps recorded at pH 7.4, there were only 93 runs (49 in mode A, 44 in mode U), and the histogram for mode A was inconclusive due to a large proportion of very long runs (not shown). Fitting the histogram for mode U to a single exponential gave a time constant of 0.76 ± 0.06 sweeps (or 2.3 ± 0.2 s given a stimulus period of 3 s; not shown). On the other hand, 385 runs (194 in mode A, 191 in mode U) were recorded with pH 6.4, and histograms for mode U and mode A are shown in Fig. 4, C and D, respectively. A log likelihood test revealed the distribution was better fitted by a single exponential function (difference in log likelihood <0.2, not significant,
= 2) with a time constant of 2.8 ± 0.4 sweeps (8.4 ± 1.2 s) for mode U and 1.9 ± 0.3 sweeps (5.7 ± 0.9 s) for mode A. Together, these results suggest decreasing pH promotes mode U gating whereas increasing pH favors mode A gating.
If, for simplicity, we assume that the transition between the two modes is first order, i.e.,
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An important question regarding mode U is whether it simply reflects depolarization-induced inactivation. With a 1 s depolarization to 100 mV at pH 6.4 there was, compared to pH 7.4, a higher probability of entering a long-lived closed state (Fig. 1 B), but this was not invariably linked to the channel being unavailable on the next sweep evoked 15 s later. In Fig. 1 B, for example, five of 11 active sweeps terminate in a long-lived closed state, which is presumed to reflect depolarization-induced inactivation, and four of those five sweeps are followed by an active sweep. Statistical analysis of a 2 x 2 contingency table (sweep ending in inactivation versus sweep active at end) x (next sweep null versus next sweep active) showed there was no correlation between a pulse ending in an inactivated state and the next sweep being blank (27 pairs,
2 value = 2.41, p > 0.1). With shorter depolarizations (150 ms), such as those used for Fig. 4 B, the probability of inactivating before the end of the pulse was low, as indicated by the similarity of the Po per active trace at either pH, but clustering of null sweeps persisted. Similarly, runs analysis at pH 6.4 with 20 ms depolarizing pulses to 100 mV delivered at 0.33 Hz (not shown) showed clustering of null sweeps (Z = 12.0 ± 3.5; n = 6; not shown). These results indicate that mode U gating is not simply due to depolarization-induced inactivation. This is consistent with our previous finding that decreasing external pH has no effect on the maximum gating charge (Qmax) mobilized during activation (3
) and in contrast to what is expected were the channels in the depolarization-induced C-type inactivated state. The gating charge data also imply that mode U gating includes voltage-sensitive transitions between several nonconducting states. However, the data do not allow us to say whether transitions between mode U and the depolarization-induced inactivated state are possible.
pH does not substantially affect intraburst behavior
As noted above, inspection of channel behavior during active sweeps at either pH 7.4 or 6.4 revealed bursts comprised of brief closures and brief openings. Dwell time histograms of open (conducting) and closed (nonconducting) events within bursts at pH 7.4 and pH 6.4 are shown (see Fig. 6) and are based on depolarizations lasting for up to 180 s (Fig. 5) to prevent the censoring of a long-lived, nonconducting state that usually occurred with 1 s depolarizations to 100 mV, particularly at pH 6.4 (e.g., Fig. 1 B). The open duration histogram at pH 7.4 (Fig. 6 A) was fitted by the sum of two exponentials. The slower component of the frequency distribution had a mean open time (
s) of 1.5 ± 0.1 ms (n = 8 patches) and represented the more frequently observed open event (as = 0.70 ± 0.04). The faster component of the distribution represented 0.3 ± 0.04 of the open events and had a mean duration (
f) of 0.34 ± 0.02 ms, which is probably an underestimate, given the limited frequency response of the system. At pH 6.4 the open duration histogram was also biexponential (Fig. 6 C). The slower component had a longer mean open time (
s) of 1.4 ± 0.1 ms and represented
0.80 ± 0.04 of the events. The less frequent (af = 0.20 ± 0.04), faster component had a mean dwell time (
f) of 0.35 ± 0.05 ms (n = 7 patches). Neither the mean dwell times nor the proportion of time spent in these two open states changed significantly between pH 7.4 and 6.4 (p > 0.05; ANOVA).
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pH affects the burst- and interburst duration
A burst of openings is conventionally defined as a series of openings separated by gaps that are less than a critical length (tcrit) (20
). A value for tcrit was determined by numerically solving the equation, exp(tcrit/
sf) = 1 exp(tcrit/
s) where
sf is the time constant for the slow-fast component during a burst and
s is the time constant for the slowest component in the closed duration histogram (Fig. 6). Using conservative estimates for
sf and
s of 3.5 and 500 ms, respectively, tcrit was set to 20 ms for either pH. Despite pooling the data from patches at pH 7.4 (n = 8) or pH 6.4 (n = 7), the frequency of events remained low and therefore it was not possible to obtain a reliable estimate of the number of interburst nonconducting states. Additionally, at pH 6.4 the Po was low and, although overlapping channel openings were never observed in the data that were analyzed, it was not possible to be certain that there was only one channel in the patch, thus making a meaningful analysis of the interburst data problematic. An analysis of the mean burst duration was more straightforward because overlapping openings were never observed during bursts at either pH. By dividing the accumulated burst length by the number of bursts observed, the mean burst duration was determined to be 1.7 s at pH 7.4 and 0.73 s at pH 6.4. The data of Fig. 5 also show that the slow, nonconducting state at either pH is nonabsorbing. Compared to the pH 7.4 data, the probability of the slow, nonconducting state was higher at pH 6.4 and it is more stable.
| DISCUSSION |
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(V-EK) where N is the channel density, Po is the open probability which has voltage and time dependence,
is the single channel conductance, and EK is the reversal potential. Analysis of one-channel patches showed that decreasing pH did not affect i at pHs between 7.4 and 5.9 and over a range of voltages (Figs. 1 and 2), indicating that
had not changed. This provided direct evidence that the decline of macroscopic currents is not due to occlusion of the open pore or a change of the permeation pathway. A similar conclusion has been reached for the effect of external protons on macroscopic ShakerIR current (21
Ensemble data constructed from idealized traces (Fig. 3 B) replicated the main features of macroscopic currents, indicating that the observed changes of single channel behavior can account for most of the previously reported effects. One effect of low pH, a rightward shift of the g-V relationship (3
) that is presumably due to screening and/or binding to surface charges (22
), was not apparent at the single channel level because of the strong depolarization that was typically used. The main effect of acidification was to decrease Po: 1), by decreasing channel availability as shown by an increased proportion of blank or null sweeps, and 2), by decreasing the average burst duration during active sweeps. Of these two changes, the decrease of channel availability was the primary cause of the decrease of the peak macroscopic conductance. This was illustrated by the overlap of the availability-pH curve derived from single channel analysis and the gmax-pH curves derived from the analysis of macroscopic currents (Fig. 3 C). Diary plots and the outcome of runs analyses of the channel behavior at pH 6.4 (Fig. 4) showed that null and active sweeps were clustered and consequently that the behavior likely represented different sets or modes of gating. The three criteria typically used to define modal gating were met (15
). First, the two distinct kinetic behaviors were consistently observed in one-channel patches, thus ruling out the possibility of two populations of channels. Second, the probability of a given gating mode could be experimentally manipulated, in this case by changing pH. And, third, the rate for the transition between the two modes was slow, as shown by clustering in diary plots and by the absence of clear evidence of a switch from mode U to mode A during 1-s depolarizations. Active sweeps at pH 6.4 and 5.9 frequently ended with a long, censored closed state (Fig. 1 B) that we assume is due primarily to depolarization-induced inactivation, but we cannot preclude the possibility of transitions to mode U.
Three lines of evidence lead us to reject a model in which depolarization-induced inactivation accounted for the null sweeps. These are, first, that mode U gating observed at low pH is not dependent on prior channel opening (first sweeps in Fig. 1, B and C). The mean burst length, which is a reflection of the rate of depolarization-induced inactivation, is much longer than the dead time of our system so that a failure to detect very brief open events is an unlikely explanation for the null sweeps. Second, clustering of null sweeps was observed even with very brief (20 ms) depolarizations where the probability of depolarization-induced inactivation was very low. Third, in a previous study of macroscopic currents the decline of the peak current was evident on the first sweep after a 2 min period in which the potential was held continuously at 80 mV while the pH was changed (3
). These observations are inconsistent with a model in which null sweeps resulted from the occupancy of a long-lived inactivated state entered during a depolarizing pulse.
The lumping together of two distinct gating behaviors into U and A modes and the assignment of a first order reaction scheme for transitions between these two modes is very likely an oversimplification of a more complex gating behavior. The details of states and the kinetics of transitions within a gating mode, as well as the exact connectivity between states in the two modes, will be required to develop a full understanding of the kinetic processes involved. A more detailed scheme of mode A would include several closed states, closed-inactivated states, an inactivated state, an open state as well as closed states outside of the activation pathway (23
25
). Much less is known about the states traversed in mode U. However, save for a rightward shift of the Q-V curve, gating currents are unchanged at low pH, indicating that voltage sensor movement is more or less intact in channels gating in mode U.
Analysis of active sweeps at pH 7.4 or pH 6.4 suggests that in mode A the opening and closing transitions within a burst were largely pH insensitive (Fig. 6). At either pH, Kv1.5 channel activity is characterized by rapid flickering that, especially at 100 mV, most likely reflects transitions between short-lived open and closed (i.e., noninactivated) states outside of the normal activation pathway (26
,27
). There was evidence for two states in the open duration histogram, but the faster of these two was near the dead time of the system and is therefore equivocal. Aside from this second open state, channel gating within a burst, including the existence of the three fastest components in the closed duration histogram, is very much as described for ShakerIR channels (26
).
The slowest component of the closed duration histogram represented a state that terminated a burst and was attributed to inactivation. However, because of the relatively small number of these long nonconducting events, we cannot be certain of either the number of inactivated states or their mean dwell times. To address the simpler question of how a change of pH affected the equilibrium between bursting behavior and gaps between bursts, channel activity was studied during minutes-long depolarizations to 100 mV (Fig. 5). Decreasing pH from 7.4 to 6.4 decreased the burst duration and appeared to increase the interburst interval, which can account for the faster inactivation rate of macroscopic and ensemble currents (Fig. 3, A and B) as well as the slower rate of recovery from inactivation at low pH (18
).
Extracellular protons increase the depolarization-induced inactivation rate in ShakerIR (21
), N-terminal deleted Kv1.4 (28
), rat Kv1.5 (6
), and human Kv1.5 (5
). This enhancement of the inactivation rate is attenuated by the T-449V mutation in ShakerIR and by the homologous mutation, R-487V, in Kv1.5 and as such is consistent with a connection to outer pore inactivation. However, despite the fact that depolarization-induced inactivation both in ShakerIR and Kv1.5 is accelerated by decreasing pH, there are several important, unexplained differences in the response of these two structurally related channels to extracellular acidification. Protonation of H-463 appears to be the primary event that triggers both a change of availability and the acceleration of depolarization-induced inactivation in Kv1.5 since both effects are substantially reduced in Kv1.5 H-463Q (3
). In contrast, in ShakerIR the acceleration of depolarization-induced inactivation has been provisionally attributed to protonation of the aspartate residue in the GYGD sequence of the selectivity filter. The most striking disparity is that acidification decreases channel availability (increases mode U gating) in Kv1.5 but not in ShakerIR or Kv1.4. Interestingly, however, mutations of the threonine residue at position 449 in Shaker (4
) or its positional equivalent in Kv1.4 (29
) can produce currents that collapse in K+-free external medium, an effect that has been attributed to a change of availability due to closed-state inactivation (29
). We have not yet assessed the consequences of mutations of R-487 on channel availability at pH 7.4 in Kv1.5 but have found that mutations of residues at or near the putative proton-binding site (H-463) in the pore turret can produce currents at pH 7.4 that show fast inactivation and have a
sensitivity similar to that observed both for ShakerIR mutants and for wild-type (wt) Kv1.5 channels at low pHo (3
,30
). Although a faster rate of depolarization-induced inactivation is associated with a
-sensitive change of availability in ShakerIR T449 mutants, this is not a consistent correlation. For example, with wt ShakerIR decreasing the external pH can dramatically speed inactivation but does not appear to affect channel availability (21
), and, conversely, the inhibition of Kv1.5 current by divalent cations such as Ni2+, Co2+, and Zn2+ is correlated with a substantial decrease of channel availability that is associated with relatively small changes of depolarization-induced inactivation rate (18
). This indicates that "closed-state inactivation" and "open-state inactivation" do not always show parallel changes.
An important question that remains to be answered is whether the decreased availability or mode U gating we observe at low pH in Kv1.5 is due to a constriction of the outer pore mouth, as has been proposed for P/C type inactivation. Typically, P/C type inactivation is assumed to be strongly coupled to channel activation such that it occurs from the open state or perhaps from one or more closed states accessed outside of the activation pathway. If, as suggested by the effects of
and the R-487V mutation on the inhibition of Kv1.5 current at low pH, the decreased channel availability does indeed reflect outer pore inactivation, this would mean that this process becomes uncoupled from activation. Evidence obtained from the nonconducting mutant ShakerIR W434F for "permanent" or resting P-type inactivation provides some support for this idea (31
).
| ACKNOWLEDGEMENTS |
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Submitted on June 10, 2005; accepted for publication November 4, 2005.
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