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| ABSTRACT |
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Key Words: KvLQT1 long QT syndrome fluctuation analysis minK
Abbreviations: LQTS, long QT syndrome
| introduction |
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The other partner in the IKs channel is the product of the LQT1 gene. Long QT syndrome (LQTS)1 is a genetically heterogeneous disorder that causes cardiac arrhythmias and leads to sudden death. One of several loci for this disorder, LQT1 is located on chromosome 11 (Keating et al., 1991
) and is the gene for a potassium channel subunit named KvLQT1 (Wang et al., 1996b
). Although KvLQT1 subunits produce a potassium current when expressed alone, much larger currents having the slow kinetic characteristics of IKs are obtained from the coexpression of KvLQT1 and minK subunits (Barhanin et al., 1996
; Sanguinetti et al., 1996
; Yang et al., 1997
). The LQTS-associated mutations in the KvLQT1 gene appear to reduce the expressed IKs current in a dominant-negative fashion (Shalaby et al., 1997
; van den Berg et al., 1997
).
Because KvLQT1 subunits give rise to functional potassium channels when expressed alone, it is interesting to consider the nature of the interaction between minK and KvLQT1 that produces larger and more slowly activating currents when these genes are coexpressed. It has been argued that minK serves as a regulator of channel activity (Attali et al., 1993
; Ben-Efraim et al., 1996
), but evidence is accumulating that minK residues form part of the pore of the IKs channel complex (Wang et al., 1996a
; Sesti and Goldstein, 1998
; Tai and Goldstein, 1998
). In a recent study using COS cells (Romey et al., 1997
), it was concluded that the effect of minK coexpression was greatly to increase channel number while decreasing the single-channel conductance of the channels expressed from KvLQT1 subunits. In the present study, we revisit the single-channel properties of the KvLQT1 and coexpressed channels, making use of fluctuation analysis and single-channel recordings from Xenopus oocytes. A companion study considers the single-channel properties of coexpressed channels containing mutant minK subunits as well (Sesti and Goldstein, 1998
).
| materials and methods |
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Electrophysiology
Human KvLQT1 cRNA (5.8 ng) was injected into Xenopus oocytes alone or in conjunction with 1 ng minK cRNA. We use the notation hIKs to denote channels resulting from coexpression of human minK and human KvLQT1, rhIKs to denote channels from the combination of rat minK and hKvLQT1, and ILQT to denote channels expressed from hKvLQT1 alone. In this study, only the full-length l-KvLQT1 variant was used for expressing hIKs and ILQT channels; most rhIKs recordings were made with this variant as well. The rhIKs channels formed with the truncated s-KvLQT1 construct had identical behavior in terms of voltage dependence and single channel unitary current.
Patch- and voltage-clamp recordings were done at room temperature, 7–12 d after RNA injection. Patch clamp recordings were obtained using EPC-9 (HEKA Electronic, Lambrecht, Germany) or Axopatch 200B (Axon Instruments, Foster City, CA) amplifiers. Pipettes were pulled from 7052 glass (Corning Glass Works, Corning, NY) to a tip size of 2–5 µm. Pipettes with tip diameters of
30 µm were used for recording ILQT channel currents. These pipettes were pulled from thin-walled borosilicate capillaries (PG165T; Warner Instruments, Hamden, CT). The standard bath solution for patch clamp recordings was (mM) 7 KCl, 93 K-aspartate, 1 EGTA, and 10 HEPES. The standard pipette solution was (mM) 0.2 KCl, 100 NaCl, 1 MgCl2, 1.8 CaCl2, and 10 HEPES. All solutions were titrated to pH 7.4.
For two-microelectrode voltage clamp recordings, an OC-725 amplifier (Warner Instruments) was driven by the Pulse software (HEKA Electronic) and an analogue interface (ITC-16; Instrutech Corp., Mineola, NY). Microelectrodes were filled with 1 M KCl and had 0.1–0.3 M
resistance. The standard bath solution for voltage clamp recordings, denoted ND96, contained (mM) 96 NaCl, 2 KCl, 0.1 CaCl2, 1 MgCl2, and 5 HEPES, pH 7.4.
Half-amplitude threshold analysis (Colquhoun and Sigworth, 1995
) was used to idealize single-channel recordings for kinetic analysis and the reconstruction of ensemble time courses. For noise analysis, the macroscopic currents induced by a series of depolarizing pulses were recorded on video tape using a VR-10 Digital Data Recorder (Instrutech Corp.). Data were then transferred digitally from tape through the VR-10 Digital Recorder using the program VCatch developed in our laboratory. The raw data (94 kHz sampling rate) were filtered and decimated using a digital Gaussian filter. Power spectra were calculated from data decimated and filtered to 10 Hz, 100 Hz, 1 kHz, and 10 kHz bandwidths. A power spectrum covering the frequency range 0.1 Hz–20 kHz was obtained by combining the four individual spectra after correcting for filter responses.
Statistical quantities are expressed as mean ± SEM with the number of determinations n
3 unless otherwise stated.
| results |
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Reversal potentials of rhIKs currents were measured from macroscopic tail currents obtained in inside-out or cell-attached patch recordings with 100 mM K+, Na+, Rb+, or Cs+ in the pipette; in each case, the bath solution contained 100 mM K+. Table I (top) shows the reversal potentials of the rhIKs channels. The table also gives the computed permeability ratios. The permeability ratios are very similar to those obtained from voltage clamp recordings of oocytes injected with rat minK RNA (Hausdorff et al., 1991
). Like many other potassium channels, the permeability sequence is K+ > Rb+ > Cs+ > Na+.
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Single hIKs Channel Current
If we assume that the IKs channel only has one conductance level with unitary current i, then for n channels the variance of current fluctuations will depend on the mean current I according to
![]() | (1) |
(Sigworth, 1980
). We shall denote by iv an estimate of i obtained from fitting Eq. 1 to the variance–mean relationship. For this analysis, a series of current sweeps was collected by applying repetitive depolarizing pulses to +50 mV. The mean current and variance from hIKs channels (Fig. 2 A) were computed using groups of two sweeps to minimize errors due to slow current drifts (Heinemann and Conti, 1992
). Shown in Fig. 2, B and C, are two mean–variance plots computed from data filtered to different extents. Fitting Eq. 1 yielded the estimates iv = 0.28 pA at 100 Hz and 0.51 pA at 10 kHz bandwidth. The discrepancy between the two estimates of unitary current suggests that a substantial amount of variance is contained in high-frequency components.
|
![]() | (2) |
where S(f) is the power spectral density of the current fluctuations and H(f) is the filter transfer function. To give an idea of the effect of filter bandwidth, the spectral density in Fig. 2 E was integrated numerically and converted into unitary current amplitude according to the expression
![]() | (3) |
where I is the time-averaged mean current and is(f) is the apparent unitary current at bandwidth f. As can be seen in Fig. 2 F, is increases strongly with filter bandwidth, and is still increasing at f = 20 kHz. Thus, fluctuation analysis is expected to yield any of a variety of unitary current amplitudes, depending on the bandwidth. At 20 kHz, is is 0.47 pA at +50 mV.
The expression in Eq. 3 is missing a correction term (Sigworth, 1981
) and therefore underestimates the unitary current by a factor of about
where
is the mean open probability. Thus, the apparent unitary currents from spectral analysis (Fig. 2 F) of 0.2 and 0.47 pA, at 100 Hz and 20 kHz bandwidth, respectively, become
0.25 and 0.6 pA when
= 0.2 is assumed. These values agree with those obtained from the mean– variance analysis (Fig. 2, B and C).
Unitary currents roughly 0.5 pA in size should be visible in single-channel recordings. Obtaining single-channel patches was difficult, however, because the hIKs channels appeared to be highly clustered in the oocyte membrane so that patches typically contained either tens of channels or no channels at all. The distribution of patch current density was very broad, as determined from more than 100 patches (Fig. 3). Fig. 4 A shows one of our best candidates for an hIKs single-channel current. This sweep was recorded from a multiple-channel patch but appears to have only one channel active. As would be expected from the very broad power spectrum of macroscopic current fluctuations, the channel current shows very rapid flickering. From recordings at three voltages, the single-channel conductance is estimated to be 3 pS at 200 Hz bandwidth (Fig. 4 C).
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0.09 pA at 20 kHz. The unitary current is therefore about one fifth of that of the hIKs channels. We were not able to obtain any convincing single-channel recordings of this current.
Single Channel Properties of rhIKs Channels
We also studied channels formed by coexpression of rat minK with human KvLQT1 subunits. The currents from these channels (Fig. 1) show similar noise properties and voltage dependence to those containing human minK subunits. Fig. 6 shows the fluctuation analysis of these channels. The power spectrum (Fig. 6 B) does not have the simple power-law frequency dependence of the hIKs channels, but can be fitted by one 1/f component plus several Lorentzian components, where a minimum of four Lorentzians was required for a good fit. The presence of discernible Lorentzians suggests that rhIKs channels may have more clearly distinguishable kinetic states than hIKs channels. The unitary current is was calculated from the power spectrum from this experiment. Again, is shows a strong dependence on bandwidth, as shown in Fig. 6 C, with an estimated unitary current of 0.67 pA at 20 kHz. Depending on the estimated open probability, this value should be increased somewhat, for example to 0.84 pA assuming
= 0.2.
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0.28 pA at 100 Hz bandwidth. This is similar to the value obtained from hIKs channels at this bandwidth.
The presence of discernible Lorentzian components in the power spectrum suggests that the rhIKs channels should show less flickering than the hIKs channels. Patch recordings indeed showed single-channel events, but as was the case with hIKs channels, of >200 trials, we were unable to obtain a one-channel recording of sufficient duration to allow kinetic analysis. Shown in Fig. 7 is a recording from a patch containing three channels using pulses to +50 mV. Channels open after a latency of a few seconds, often first to a subconductance level before reaching the full single-channel current (Fig. 7 B). To verify that these channel events correspond to the macroscopic currents, we computed the channel open probability from the idealizations of 60 sweeps. It has a slowly activating time course that reaches an open probability of 0.45 at the end of the 5-s depolarization. This time course superimposes well on the time course of current in a multichannel patch (Fig. 7 C). The time course of activation can be described by the distribution of first latencies to channel opening. Ignoring the subconductance levels, we measured the first latency to the fully open state and corrected it for the presence of three channels (Aldrich et al., 1983
). When scaled by the factor 0.8, it matches very well the time course of the open probability. This correspondence is consistent with the idea that, once a channel opens, it remains open with a substantial probability (apparently 0.8 at this time resolution).
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| discussion |
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Size of Single-Channel Currents
The rapid flickering of currents in these channels makes difficult the determination of the single–open-channel current. When fluctuation analysis is used to estimate the single-channel current, the bandwidth of the recording must be sufficient to capture the fastest fluctuations, or else the variance will be underestimated, providing an underestimate of the single-channel current. The direct observation of single-channel currents suffers from a similar limitation: if a channel's current contains many brief interruptions, a single-channel recording at low bandwidth will show a reduced apparent single-channel current and increased apparent open probability. The very noisy appearance of the hIKs recording at 500 Hz (Fig. 4 A) suggests that this bandwidth is not sufficient to resolve the true open-channel current. Fluctuation analysis allows a wider range of frequencies to be explored.
A two-state channel with opening and closing rate constants
and β yields current fluctuations having a Lorentzian power spectrum with a corner frequency fc = 1/2
(
+ β). Above fc, the Lorentzian decays with frequency as f–2; this relatively rapid decay means that the observed variance of the fluctuations converges rapidly to the correct value as the bandwidth is increased above fc. On the other hand, no convergence results in the case of an f–1 frequency dependence, like that shown in Fig. 2 E for the hIKs channels. Such a frequency dependence results in an observed variance that increases without limit as the bandwidth increases. Because bandwidth is related to the time scale of measurement, one could speak of an effective single-channel current value that depends on the time scale under which it is measured. Channels having stable open and closed states, such that the power spectrum of fluctuations from these channels decay rapidly at higher frequencies, show a distinct single-channel current value given sufficient recording bandwidth. For the hIKs channel, however, the 20-kHz limit of our power spectrum measurements was not sufficient to reach this regime. Thus we do not know the asymptotic value of the variance; we also do not know the exact open probability value that is necessary to correct the estimate of the single-channel current. The variance computed from fluctuations up to 20 kHz (Fig. 2), when corrected for an estimated absolute open probability of
0.2, result in the estimated single-channel current of 0.6 pA at +50 mV, or a chord conductance of
4.5 pS. These values are consistent with the current extremes observed in single-channel recordings (Fig. 4).
Another way to summarize the problem posed by the hIKs channel is that the very rapid current fluctuations make it difficult experimentally to distinguish, on the basis of time scales, between gating or channel-block phenomena on the one hand and the ion conduction process on the other. The apparent single-channel conductance values are influenced by the very rapid interruptions in the channel current.
The channels formed by hKvLQT1 subunits expressed alone or in combination with rat minK subunits showed less extreme behavior. Although the spectra of the current fluctuations are also very broad, they are not as featureless as those of hIKs currents and can be fitted by multiple Lorentzian components. Limiting single-channel current values at +50 mV of 0.09 and 0.84 pA are obtained from fluctuation analysis. These correspond to conductances of
0.7 and 6.5 pS. The rhIKs channels resulting from coexpression were also observed directly from single-channel recording at 100 Hz bandwidth. There they appeared to have single-channel currents at +50 mV of
0.5 pA, depending on extracellular K+ concentration (Fig. 10).
In native tissues, the cardiac IKs current has been seen to have small fluctuations. Walsh et al. (1991)
estimated unitary conductances of <1 pS in guinea pig myocytes. Taking into account their recording bandwidth of 200 Hz, we obtain a similar value. At 200 Hz, we would estimate a conductance of
2 pS, as calculated from the estimated single-channel current at +50 mV of
0.2 pA in both hIKs and the hrIKs channels (Figs. 2 F and 6 C).
It should be kept in mind that fluctuation analysis depends on several assumptions about the behavior of channels. We assume homogeneous populations of independently gating channels, and have also used the assumption that there is only one nonzero conductance level. It is likely that one or more of these assumptions is false. Evidence has been presented by Pusch et al. (1998)
that KvLQT1 channels have two open states, and we see clear subconductance levels in single-channel recordings of the rhIKs channels (Figs. 7 B and 8 A). If there are multiple conductance levels, the estimated single-channel current will lie between the largest and smallest single-channel current, and will depend on the probabilities of occupancy of the various conductance states. It should be kept in mind, however, that the high-conductance states tend to dominate the estimated conductance, because the contribution of a state's current i to the variance is proportional to i 2. Thus, our single-channel conductance estimates are likely to approximate the values for the largest conducting states.
A similar argument can be made concerning the possible heterogeneity of channel types. When minK and KvLQT1 cRNAs are coinjected, it is possible that hybrid channels are expressed having various stoichiometries, and the fluctuation analysis will give a weighted-average value. Again, it should be kept in mind that larger channel currents make larger contributions to the variance, and therefore predominate in the weighted average. Thus, if our coinjections produced a variety of channel types, the estimated conductance probably reflects the largest conductance value. Further, the good correspondence between the fluctuation analysis of rhIKs currents and direct single-channel recordings argues that heterogeneity in channel conductances is not a serious problem.
How Coexpression of minK Affects KvLQT1 Current
Expression of KvLQT1 subunits produces small, rapidly activating potassium currents; coexpression of these with minK results in slowly activating IKs currents that are several-fold larger. These differences in the expressed currents have been seen in a variety of expression systems, including Xenopus oocytes, Sf9 cells, and in the mammalian cell lines CHO and COS (Barhanin et al., 1996
; Sanguinetti et al., 1996
; Romey et al., 1997
). Is the increase in KvLQT1 current on coexpression with minK due to an increase in channel density or an increase in the single-channel current? Romey et al. (1997)
addressed this question through single-channel recordings and noise analysis of expressed currents in COS cells. They concluded that the addition of minK subunits to KvLQT1 channels caused a reduction of single-channel conductance from 7.6 to 0.6 pS. To account for the increase in macroscopic current, they conclude that coexpression with minK causes the channel density to increase by a large factor, some 60-fold.
Our studies of these channels in Xenopus oocytes lead to the opposite conclusion, that a large part of the observed current increase on coexpression of minK arises from an increase in single-channel conductance. From fluctuation analysis, we estimate a single-channel conductance of
0.7 pS for KvLQT1 channels. We estimate the conductance of human IKs channels to be
4.5 pS. The discrepancy between our results and those of Romey et al. (1997)
might be explained by the difference between COS cell and oocyte expression systems. This, however, is unlikely because the behavior of the channels is similar in the various systems; further, Romey et al. (1997)
report the same single-channel conductance value for IKs channels expressed in Xenopus oocytes as in COS cells.
Our results disagree with this previous work in two respects. First, we obtain a larger single-channel conductance for the human IKs channels than reported by Romey et al. (1997)
. This can be explained largely by the frequency dependence of fluctuations in this channel. Our value of 4.5 pS is based on fluctuation analysis at 20 kHz and on single-channel recordings at 500 Hz bandwidth; their value of 0.6 pS was based on fluctuation analysis at a bandwidth of 150 Hz under similar ionic conditions. Our conductance estimate of 6.5 pS for the closely related rhIKs channel (Figs. 6–10), for which openings are more readily resolved, supports the higher conductance estimate.
The other disagreement concerns the conductance of channels arising from the expression of KvLQT1 subunits alone. Romey et al. (1997)
found well-resolved single-channel events in COS cells having a conductance of 7.6 pS. In our macropatch recordings, we find a remarkably noiseless current (Fig. 5). The power spectrum from the macropatch recording shows a broad frequency dependence, with a limiting conductance value of
0.7 pS apparently being reached at 20 kHz bandwidth. There is always the danger that the currents in patch-clamp recordings are not properly identified, such that unitary events from one channel type are ascribed to another. Although we have not performed a pharmacological identification of our currents, we note that the kinetics of activation and the tail currents in our macropatch recordings agree very well with the currents observed from KvLQT1 channels in whole oocytes and in other expression systems (Fig. 1 C; Barhanin et al., 1996
; Sanguinetti et al., 1996
; Romey et al., 1997
), supporting the view that it is these channels whose fluctuations we have measured.
Our results agree well with those of Sesti and Goldstein (1998)
, who studied channels expressed from KvLQT1 subunits alone and with human minK. They used symmetrical 100 mM potassium solutions and thereby obtained higher conductance values (4 and 16 pS) compared with ours (0.7 and 4.5 pS). Under the different ionic conditions, the single-channel outward currents are expected to be similar at large depolarizations. At +50 mV and 20 kHz bandwidth, our estimate for the single-channel current of hIKs channels is 0.6 ± 0.2 pA; here the error bounds reflect an estimate of statistical and systematic errors in the fluctuation analysis used. The corresponding estimate at 25 kHz bandwidth given by Sesti and Goldstein (1998)
is 0.8 ± 0.2 pA.
Kinetics of IKs Channels
In addition to rapid flickering, the currents through single IKs channels show slow gating processes. At depolarizations to +20 and +50 mV (Figs. 7 and 8), the main determinant of the activation time course is seen to be the latency to first channel opening. In the rhIKs channels where single-channel events could be readily resolved, dwells in a subconductance state were often seen to precede full channel opening. The rhIKs channel activity also waxes and wanes on a time scale of
30 s, as seen by groups of successive blank sweeps in patch recordings (Figs. 7 and 8).
The Conductance of minK "Channels"
The discovery that KvLQT1 subunits coassemble with the minK gene product to produce the IKs current (Barhanin et al., 1996
; Sanguinetti et al., 1996
) has clarified some of the puzzling aspects of the "IminK current" that is seen in Xenopus oocytes when minK is expressed alone (Busch and Suessbrich, 1997
). It is now clear that this current results from the combination of minK with an endogenous, Xenopus KvLQT1 homologue that is expressed at low levels (Sanguinetti et al., 1996
). The difficulty that we and others have had in attempting to define the single-channel characteristics of IminK are now understandable in view of the difficulties we have encountered in recording from single IKs channels. In a preliminary communication (Yang and Sigworth, 1995
), we reported fluctuation analysis of a slowly activating current seen in patches from Xenopus oocytes, but many subsequent attempts were unsuccessful to establish this current as the same as the macroscopic, potassium-selective IminK. It is possible that our patch currents, which from fluctuation analysis had a unitary current value below 1 fA, were contaminated with currents from an endogenous channel or ion transporter having slow kinetics, similar perhaps to the transporter studied by Schlief and Heinemann (1995)
.
| ACKNOWLEDGMENTS |
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Submitted: 30 July 1998
Accepted: 21 October 1998
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F. Sesti and S. A.N. Goldstein Single-Channel Characteristics of Wild-Type IKs Channels and Channels formed with Two MinK Mutants that Cause Long QT Syndrome J. Gen. Physiol., December 1, 1998; 112(6): 651 - 663. [Abstract] [Full Text] [PDF] |
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Y. Li and D. R. Halm Secretory modulation of basolateral membrane inwardly rectified K+ channel in guinea pig distal colonic crypts Am J Physiol Cell Physiol, April 1, 2002; 282(4): C719 - C735. [Abstract] [Full Text] [PDF] |
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