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ARTICLE |
Correspondence to Richard Horn: Richard.Horn{at}jefferson.edu
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Abbreviations used in this paper: ERK, early response kinase; TBA, tetrabutylammonium; TPentA, tetrapentylammonium; WT, wild-type.
| INTRODUCTION |
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The structural changes underlying the opening and closing of the activation gate of potassium channels are unknown, although a variety of alternatives have been proposed for members of this superfamily of ion channels. In several of the early proposals, the four helices approximately maintain their
-helical secondary structure throughout. Opening occurs when these helices pivot away from the symmetry axis of the pore while rotating around their helical axes (Perozo et al., 1999
; Flynn and Zagotta, 2001
; Johnson and Zagotta, 2001
; Liu et al., 2001
). The pivot point in this model is near the extracellular end of the S6 segment. In another proposal the activation gate opens by formation of a kink, or "gating hinge," in the middle of the S6 helix (Jiang et al., 2002b
; Kelly and Gross, 2003
; Tikhonov and Zhorov, 2004
; Zhao et al., 2004
; Domene et al., 2005
). This model is supported by differences in the crystal structures of the homologous helices of closed (Doyle et al., 1998
; Kuo et al., 2003
) and open (Jiang et al., 2002a
,b
, 2003
) potassium channels, and also by state-dependent cysteine labeling of residues near the bundle crossing of the KcsA potassium channel (Kelly and Gross, 2003
). A kink in the inner helix of MthK potassium channels (Jiang et al., 2002b
) creates an opening wide enough to accommodate intracellular pore blockers as large as tetrabutylammonium (TBA,
12 Å in diameter). In spite of its large size, TBA can enter deeply into a potassium channel when it is open (Zhou et al., 2001a
). The 30° kink observed in the MthK structure occurs near a glycine (Gly) residue that is highly conserved in the pore-lining helices of many potassium channels, whether or not they are gated by voltage (Jiang et al., 2002b
). Gly residues are known to confer flexibility to protein structures (Li and Deber, 1992
; Bright and Sansom, 2003
), making them excellent candidates to act as movable hinges. In a final proposal, a variant of hinged opening, a proline-based kink below the conserved Gly in S6 segments exists in both open and closed channels and somehow contributes to the gating of Kv channels (Holmgren et al., 1998
; Del Camino et al., 2000
; Del Camino and Yellen, 2001
; Labro et al., 2003
; Webster et al., 2004
). The role of the upstream Gly in this proposal is unclear.
Here we examine the idea of a Gly hinge by showing first that alanine, the amino acid residue that maximally stabilizes
-helices (O'Neil and DeGrado, 1990
; Chakrabartty et al., 1991
), cannot substitute for Gly466 in the S6 segment of Shaker potassium channels. Tetramers that include even one G466A subunit are nonfunctional. We further test whether a Gly residue, substituted elsewhere along the S6 segment, can restore voltage-dependent gating to the nonfunctional G466A mutant. Our Gly scan uncovered only one functional double mutant, G466A/V467G, which had alterations in activation gating. Besides these results that support the idea that a Gly hinge is used during voltage-dependent opening of the activation gate, we also found that any construct containing the G466A mutation lacked the typical high molecular weight glycosylation feature of wild-type (WT) Shaker, suggesting a further role of this Gly residue in biogenesis of potassium channels.
| MATERIALS AND METHODS |
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9.3), and centrifuged at 500 g for 5 min. The supernatant was centrifuged at 50,000 g for 30 min and the pelleted membrane fraction resuspended in lysis buffer. Protein concentration was determined using the Bradford Assay (Bio-Rad Laboratories). Samples (equal protein) were separated by SDS-PAGE and transferred to PVDF membrane (Millipore). Immunoblots were blocked with 5% milk, 0.1% Tween-20 in Tris-buffered saline, pH 7.5, and probed sequentially with anti-FLAG (Stratagene) antibody and secondary HRP-conjugated antibody (Roche) diluted in blocking solution. Detection was by enhanced chemiluminescence (PerkinElmer). Surface expression of Shaker mutants in transfected cells was assayed by the "Cell Surface Protein Biotinylation and Purification Kit" (Pierce Biotechnology). For biotinylation experiments we used the cytoplasmic protein early response kinase (ERK) as a negative control. ERK was detected by an anti-ERK antibody (Promega).
Electrophysiology
Whole cell currents from transfected cells were obtained as described previously (Ding and Horn, 2003
). For whole cell recording, the patch pipette contained (in mM) 105 CsF, 35 NaCl, 10 EGTA, 10 Hepes, pH 7.4. The bath contained (in mM) 150 NaCl, 2 KCl, 1.5 CaCl2, 1 MgCl2, 10 Hepes, pH 7.4. For analysis of selectivity we used either whole cell currents or outside-out patches in which all of the intracellular Cs+ was replaced with Rb+, and the extracellular Na+ and K+ were completely replaced with either Rb+ or K+. Whole cell currents from oocytes were obtained by standard two-microelectrode voltage clamp using a bath of (in mM) 116 NaCl, 2 KCl, 2 MgCl2, 1.8 mM CaCl2, 5 Hepes, pH 7.6.
Experiments examining single channels or nonstationary noise analysis used cell-attached patches from oocytes. In these studies the pipette solution contained (in mM) 140 NaCl, 10 KCl, 5 MgCl2, 10 Hepes, pH 7.2. Block by tetraalkylammonium cations was studied with inside-out patches using the same pipette solution, and a bath containing (in mM) 140 KCl, 2 MgCl2, 1 CaCl2, 11 EGTA, 10 Hepes, pH 7.2.
Data Analysis
Data were analyzed using pCLAMP (Axon Instruments), ORIGIN 7.5 (OriginLab), and Fortran (Compaq). Selectivity of Rb+ over K+ was estimated from shifts in reversal potential
Vrev under biionic conditions (Fig. 5) according to
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Block
Block by intracellular TBA and tetrapentylammonium (TPentA) were studied in inside-out oocyte patches. Kd, the dissociation constant for block, was estimated from the doseresponse relationship at +80 mV, using the relationship Kd = [B]Fun/(1 Fun), where the blocker concentration is [B] and Fun is the steady-state fraction of unblocked current. Note that this relationship ignores possible effects of open probability on block (see Ding and Horn, 2002
). If all of the steady-state channel gating observed at membrane potentials >+20 mV is due to movement of the activation gate, Kd could be overestimated by at most
30% by ignoring open probability, because peak open probability estimated by nonstationary noise analysis was typically >0.7. The kinetics of block were determined from WT patches using the time course of current reduction during a depolarizing voltage step. The concentration-dependent blocking rate
is the inverse of the single-exponential time constant of block. The association rate constant for a one-step blocking reaction is estimated as kon =
/(Kd + [B]), and the dissociation rate constant is koff =
Fun. The blocking rate
for the G466A/V467G mutant was determined by stationary noise analysis (Neher and Stevens, 1977
). Currents were obtained in inside-out patches in response to
160 depolarizations to +80 mV. Currents were lowpass filtered at 20 kHz and sampled at 200 kHz. Power spectra were calculated for each depolarization, using a discrete Fourier transform implemented in Fortran, and averaged. Resultant spectra were fit by a sum of 1/f noise and a lorentzian component with a corner frequency
c. The blocking rate was estimated as
= 2
c (Baukrowitz and Yellen, 1996
), and the association and dissociation rate constants were determined as above.
| RESULTS |
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To test the ability of G446A subunits to participate in heterotetramer formation with WT channels, we coexpressed WT and G466A monomers both in mammalian cells and in Xenopus oocytes. The biophysical properties of the resultant currents were indistinguishable from those of WT channels (not depicted), except that the currents were reduced in amplitude (Fig. 1 B), indicative of a dominant-negative suppression. Note that the amplitudes of WT control currents were unaffected by coexpressing a 20-fold higher molar equivalent of the transmembrane protein pHook-1, ruling out nonspecific effects of cRNA injection (MATERIALS AND METHODS). These data suggest that mutant subunits can coassemble with WT subunits, and that even a single mutant subunit within a tetramer destroys function.
The dashed line in Fig. 1 B shows the relationship predicted by the binomial distribution (see APPENDIX) between the potassium current amplitude and the fraction p of WT cRNA injected into the oocytes. The suppression observed experimentally is grossly overestimated by this theoretical prediction. Two immediate explanations come to mind. The first is that p is much larger than we believe under the conditions of our experiments. Quantitatively the results in Fig. 1 B can be fit reasonably well if WT protein expresses
12-fold better than mutant protein (calculations not shown). We reject this possibility, however, because it is inconsistent with our biochemical data (Fig. 2) that show very similar expression levels of mutant and WT protein. Moreover, the presence of comparable levels of mutant and WT protein on the cell surface (Fig. 4) suggests that mutant subunits form homotetramers approximately as well as WT subunits. The second possibility is that homotetramers, of either WT or mutant subunits, assemble more readily than the heteromers that produce suppression. The solid line in Fig. 1 B is the prediction of a model in which each mutant:WT contact within a tetramer carries a fixed penalty of 1.65 ± 0.14 kcal/mol for assembly (see APPENDIX). Although this is only one of several possible explanations for the impoverished suppression in these experiments, it adequately accounts for the data.
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510-fold larger than obtained with G466A/V467G channels (unpublished data). The cause of this difference in current amplitude is not evident because, as we show later, individual G466A/V467G channels have a maximum open probability that approaches that of the WT. We interpret these composite results as an indication that G466A produces some defect in biogenesis that inhibits glycosylation, in addition to a destruction of function. Only the functional defect of the G466A mutation is rescued by V467G.
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G = 3.56 kcal/mol (see legend of Fig. 3). To examine the energetic effect of G466A alone, we compared the G-V relationship of the single mutant V467G with that of G466A/V467G. The G-V curve of the single mutant is left shifted and steeper than that of the double mutant (Fig. 3 C); the energetic consequence of introducing G466A on the background of V467G is equivalent to 
G = 3.36 kcal/mol. If mutations of these adjacent residues are assumed to have independent consequences on activation gating, the single mutation V467G is energetically rather insignificant (<0.4 kcal/mol) compared with the effect of mutating residue Gly466.
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Fig. 5 shows that the relative permeability of Rb+ and K+ ions is unaffected in the double mutant. The WT (left) and mutant (right) panels show currents in the presence of either high extracellular [K+] (above) or high extracellular [Rb+] (below). Currents were activated by a depolarization to +75 mV and followed by hyperpolarizing steps to voltages between +60 and 80 mV. Amplitudes of isochronal tail currents are plotted in Fig. 5 B. The leftward shift of reversal potential in a Rb+ bath indicates that K+ ions are moderately more permeable than Rb+ ions. The comparable shift for WT and G466A/V467G channels indicates that the double mutation has little effect on selectivity. The permeability ratios PRb+/PK+ based on these shifts were 0.76 ± 0.02 (n = 4) for WT channels and 0.83 ± 0.03 (n = 6) for G466A/V467G channels (P > 0.05, t test).
Point mutations in the vicinity of the open activation gate are known to affect single channel conductance (Ding and Horn, 2002
). This suggests that alterations in S6 conformation in the open state might produce changes in flux of K+ ions through the channel. To test this, we examined single channel conductance for K+ in either of two ways, single channel recording (Fig. 6 A) or nonstationary noise analysis (Fig. 6 B). The single channel conductance was marginally larger in the double mutant than in WT patches (see Fig. 6 and legend), suggesting only minor effects on the structure of the open activation gate.
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12 Å in diameter (Zhou et al., 2001a
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The blocking site for TBA is deep within the permeation pathway in WT channels (Zhou et al., 2001a
). Perhaps the decreased potency observed in the double mutant is due to the fact that the open activation gate is not wide enough to permit the blocker to enter, and therefore it might have a more superficial blocking site. We tested this possibility by examining the voltage dependence of block, which largely reflects the displacement of permeant ions by the blocker (Spassova and Lu, 1998
). The steady-state fraction of blocked channels was determined by experiments comparable to those shown in Fig. 7, except that the test potential was varied between +20 and +80 mV. Fig. 8 shows that TPentA block is exponentially dependent on membrane potential, with an insignificant difference (P > 0.05, t test) in voltage dependence between WT (
= 0.15 ± 0.01, n = 4) and G466A/V467G (
= 0.18 ± 0.03, n = 4) channels. These data suggest that the blockers reach comparable locations deep within the pore, but that the binding affinity is reduced in the double mutant.
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If we assume a simple model in which block involves a 1:1 collision between the blocker and its site within the pore, a decreased affinity can be explained by changes in either or both of two rate constants. The double mutant could decrease the second-order blocking constant kon and/or increase the unbinding rate constant koff. Mechanistically, these alternatives lead to very different insights into the effect of the double mutation. A decrease of kon suggests an increase in the activation free energy barrier for the blocker to reach its binding site, whereas an increase of koff implies an increase in the free energy (i.e., destabilization) of the blocker-bound state. Our data tend to support the latter alternative, because the blocking kinetics are only slow enough to resolve in wild-type channels (Fig. 7). The two rate constants underlying block are readily estimated (see MATERIALS AND METHODS) in wild-type channels from the time constant of TBA block (34.2 ± 1.3 ms at +80 mV for 2 mM TBA, n = 4) and the dissociation blocking constant Kd (3.40 ± 1.04 µM at +80 mV). This analysis produces estimates for kon and koff of 5.44 x 106 M1s1 and 18.5 s1, respectively.
Estimation of these two rate constants requires both kinetic and equilibrium measurements. Because TBA blocking kinetics are not readily apparent in macroscopic currents of the G466A/V467G mutant (Fig. 7), we resorted to stationary fluctuations to measure blocking kinetics at frequencies up to 10 kHz. Fig. 9 (A and C) shows the mean and variance of currents from inside-out patches in the absence and presence of 1 mM TBA. The currents were generated from 160 depolarizations to +80 mV. The double arrows indicate the region used for stationary noise analysis. Control spectra in the absence of blocker were always well fit by a 1/f function (n = 4) with spectral densities orders of magnitude larger than background fluctuations at the 80 mV holding potential (Fig. 9 B). TBA introduces a lorentzian component with a corner frequency (fc, arrow) of 2860 Hz (Fig. 9 D). Similar spectra were obtained from four patches in which fc was 2964 ± 64 Hz. If we assume that this component represents TBA blocking kinetics, and that TBA block is insensitive to the gating transitions responsible for the 1/f noise (Baukrowitz and Yellen, 1996
), these data allow us to estimate kon and koff (see MATERIALS AND METHODS) of 10.8 x 106 M1s1 and 7.83 x 103 s1, respectively. The large value of koff predicts a mean dwell time of only 128 µs for TBA in its blocking site. This would have been extremely difficult to resolve unambiguously with single channel recording.
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What could account for the large increase of koff in the double mutant? A previous study showed that a mutation in Kv1.4 equivalent to V467A of Shaker caused an
1 kcal/mol destabilization of TBA block (Zhou et al., 2001a
). Moreover, crystal structures of potassium channels show that the residues homologous to Val467 extend their side chains into the central permeation pathway (Fig. 10 A). These facts suggest that the decreased potency of TBA block in the G466A/V467G mutant is due more to the loss of the greasy side chain of Val467 than to the G466A mutation. This proposal was confirmed by measuring TBA block of the single mutant V467G, which increased Kd from 3.77 µM to 2.47 ± 0.20 mM (3.8 kcal/mol, n = 3), an effect even larger than observed for the double mutant in which Kd was 0.73 mM (Fig. 7). This suggests that the G466A mutation itself modestly stabilizes TBA block.
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Packing or Flexibility?
A Gly residue has two hallmark properties that are instrumental to its unique roles in a protein. The first, its small size, is known to be important for close packing of
helices, especially in membrane proteins (Lemmon and Engelman, 1994
; Javadpour et al., 1999
; Russ and Engelman, 2000
). The second is its ability to confer flexibility to an
helix (see DISCUSSION). We have interpreted our results largely in terms of the latter property. An alternative possibility, however, is that the G466A mutation abolishes function by disrupting packing, and that the rescue of function by V467G is due not to a restoration of flexibility, but to a compensatory decrease in side-chain volume that partially restores normal packing. In support of this idea a crystallographic study of the KirBac1.1 channel advanced the idea that the Gly residue homologous to Gly466 of Shaker is involved mainly in packing and is not acting as a pivot point for gating (Kuo et al., 2003
). The main argument against this explanation for V467G's ability to rescue function in the G466A mutant is that the side chain of Val467 appears not to be involved in helical packing (Fig. 10 A). Nevertheless, we tested this possibility by constructing two additional mutations specifically designed to try to rescue the lethal mutation G466A from disruptions of packing.
Based on available crystal structures, the introduced alanine of Shaker's G466A is expected to clash with a hydrophobic residue at the COOH-terminal end of the pore helix (Ala73 in KcsA, Ile57 in MthK, or Ala194 in KvAP). A high-resolution structure of KcsA (1K4C, 2.00 Å; Zhou et al., 2001b
) is shown in Fig. 10 B (left), along with the expected effect of the G99A mutation that introduces this steric clash in KcsA (right). The Shaker homologue of Ala73 in KcsA is Met440. The M440A mutation will reduce the volume of this side chain by 57 Å3. By itself this mutation is functional (Yifrach and MacKinnon, 2002
). We tested whether M440A could rescue the function of the G466A mutation (a 19-Å3 increase of side-chain volume). The double mutant M440A/G466A was nonfunctional (no voltage-activated currents in 14 transfected cells [our stringent functional test was a step depolarization from 190 to +100 mV]). We saw neither ionic nor gating current, as for other constructs containing G466A. A Western blot of this double mutant showed roughly equivalent levels of protein synthesis as obtained in other constructs and a pattern of immature glycosylation more similar to G466A than to wild-type channels (Fig. 10 C). These results support the idea that neither function nor the glycosylation defect caused by the G466A mutation can be rescued by relief of a potential steric clash between Ala466 and Met440.
We further tested whether the double mutant G466A/V467G is functional simply because of the reduction in side-chain volume at residue 467, rather than an enhancement of helical flexibility in this location. If so, then V467A might also be expected to rescue the lethal G466A. Although not as small as Gly, Ala is 38 Å3 smaller than Val. The single mutant V467A is functional (Zhou et al., 2001a
; Yifrach and MacKinnon, 2002
). However, G466A/V467A is nonfunctional (no voltage-activated currents in eight transfected cells) and exhibits the immature glycosylation pattern found in all constructs containing G466A (Fig. 10 C). These results suggest that the flexibility of the S6 helix at position 466 (or 467) is more important for function than the sizes of the residues at these positions, whereas normal glycosylation absolutely requires a Gly residue at position 466.
| DISCUSSION |
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helices (see below). It is especially striking that the open channel properties of G466A/V467G are so similar to those of WT channels, indicating that a Gly residue at position 466 is not absolutely required for a relatively normal open channel structure. Rather, the position of the Gly appears to have a more significant influence on closedopen transitions, consistent with a role as a gating hinge. As stated above, the large differences in affinity for intracellular blockers between WT and G466A/V467G channels are due almost entirely to the V467G substitution, rather than to the G466A mutation.
Gly and Pro residues in the pore-lining helices of potassium channels have been suggested to play roles in activation gating. Two well-known characteristics of these residues in proteins reinforce this proposal. First, both are prevalent at kinks in
helices, and second, they are both known to enhance flexibility of helices. Gly residues are ideally suited to provide flexibility primarily because the absence of a side chain reduces restrictions on movement (Chou and Fasman, 1974
). Consistent with this idea, Gly residues are commonly found in hinges and kinks in a wide variety of proteins, for example, lac repressor protein (Falcon and Matthews, 1999
), fungal kinesins (Grummt et al., 1998
), a helix-loop-helix structure in EF hand proteins (Falke et al., 1994
), rhodopsin (Palczewski et al., 2000
), lac permease (Abramson et al., 2003
), and heme oxygenase-1 (Schuller et al., 1999
). The difference in helical propensities between Gly and Ala is especially pronounced when the residue of interest is near the middle of an
helix (Chakrabartty et al., 1991
; Serrano et al., 1992
), exactly the situation for the conserved Gly in the pore-lining helix of many ion channels. The enhanced flexibility induced by Gly residues in transmembrane
helices has also been demonstrated by molecular dynamics simulations (Bright et al., 2002
; Bright and Sansom, 2003
). Many Gly residues in kinks are highly conserved, e.g., a specific residue in the loop of 567 different EF hand proteins (Falke et al., 1994
). Moreover, the residue homologous to Gly466 in Shaker is the most conserved residue in the S6 segments of 478 potassium and cyclic nucleotidegated channels (Jin et al., 2002
). In some potassium channels the apparent homologue of Gly466 is shifted by one position either upstream or downstream (Shealy et al., 2003
), consistent with our results with a functional, downstream-shifted Gly residue. There are also examples of consecutive pairs of Gly residues at the approximate position of Shaker's Gly466 in the S6 segments of calcium-activated potassium channels (Shealy et al., 2003
). These Gly pairs might provide enhanced flexibility for normal activation gating of these channels. Nevertheless, the channels remain functional, although somewhat incapacitated, when both are mutated to Ala (Magidovich and Yifrach, 2004
). The homologue of Shaker's Gly466 residue is found in a bacterial sodium channel as well, where it may also play a role in activation gating (Zhao et al., 2004
).
Although not as prevalent as Gly (Li-Smerin and Swartz, 2001
), Pro residues are also found at kinks in
helices (Barlow and Thornton, 1988
; MacArthur and Thornton, 1991
; Von Heijne, 1991
). The distortion in helical structure is largely due to a steric clash between the C
of the proline ring at position i and the carbonyl O atom of residue i-4. Typical kink angles due to Pro residues are
26° (Barlow and Thornton, 1988
). Pro residues not only contribute to a disruption of secondary structure. They also increase torsional flexibility, as shown in molecular dynamics simulations (Yun et al., 1991
; Tieleman et al., 2001
; Bright et al., 2002
; Cordes et al., 2002
; Bright and Sansom, 2003
), and therefore could facilitate hinge-like motion.
Although the inner helix of KcsA, homologous to the S6 segment of Kv channels, lacks Pro residues and is relatively straight, the S6 segments in most Kv channels contain a Pro-X-Pro (X = Val or Ile) motif seven residues downstream from the conserved Gly. This motif has been postulated to form a pronounced kink, in both open and closed Shaker channels (Holmgren et al., 1998
; Del Camino et al., 2000
; Del Camino and Yellen, 2001
; Webster et al., 2004
). Mutations of these Pro residues in Kv channels have dramatic, and sometimes lethal, consequences (Hackos et al., 2002
; Yifrach and MacKinnon, 2002
; Harris et al., 2003
; Labro et al., 2003
; Sukhareva et al., 2003
). Similar to the results of our study, the nonfunctional Ala substitution for one of these Pro residues can be rescued by introducing a Pro residue in the immediate vicinity (Labro et al., 2003
). Finally, introduction of either Pro or Gly residues in the pore-lining helix of an inward rectifier potassium channel has profound effects on its open probability (Jin et al., 2002
), supporting a role in gating.
These experimental results all indicate the importance of Gly and Pro residues in the pore-lining helix for activation gating of potassium channels. In Kv channels, the homologues of Gly466 and the Pro-X-Pro regions of the S6 segment are both critical for function. This leaves an open question. Are the Gly and Pro residues in the S6 helices of Kv channels acting as static kinks or dynamic hinges (Deber and Therien, 2002
)? One possibility is that Shaker's Pro-Val-Pro forms a static kink and that gate opening primarily involves a hinge-like motion centered on Gly466, as originally proposed by Jiang et al. (2002b)
. This idea is consistent with molecular dynamics simulations of Shaker's S6 segment showing anisotropic hinge-bending motions in the vicinity of Gly466 (Tieleman et al., 2001
). It is also conceivable that Gly466 and the Pro-Val-Pro motif together conspire to bestow the Shaker S6 helix with its requisite flexibility. This possibility is also suggested by molecular dynamics simulations of transmembrane helices that show that a Gly residue upstream of a Pro residue enhances flexibility more than the Pro residue alone (Cordes et al., 2002
). Whatever conformational changes underlie activation in Shaker, they must be consistent with changes in ionic permeability between open and closed states (Del Camino and Yellen, 2001
; Soler-Llavina et al., 2003
), and by evidence that the Val residue between the two Pro residues in S6 maintains a fixed orientation, with respect to the same residue in other subunits, during activation gating (Webster et al., 2004
). The final arbiter among the myriad possibilities will be solid structural information about a eukaryotic voltage-gated ion channel in both closed and open states.
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| APPENDIX |
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Random assembly guarantees that the distribution of tetramer compositions will be binomial. The relative proportions of WT and mutant subunits in an oocyte can be controlled approximately by the molar quantities of cRNA injected for each. Let p be the probability that a subunit is WT (p = Pr{WT}), and 1 p = Pr{mutant}. Then,
![]() |
The data of Fig. 1, and the observation that K+ currents are biophysically unaltered by coexpression of WT and mutant subunits, suggest that the only functional tetramers are WT homomers. We use a conditional probability in predicting the fraction of WT subunits that are functional.
![]() |
The expected fraction of WT subunits in the homotetramer (k = 4) pool is
![]() |
The dashed line in Fig. 1 B shows the predicted relationship between F and the fraction p of WT subunits, which is clearly inconsistent with our experimental data. To account for this discrepancy, we explore a model in which homotetramers, of either WT or mutant subunits, assemble more readily than the heteromers which produce suppression.
It is perhaps unreasonable to assume that all stoichiometries of heteromers have similar probabilities of assembling. Instead we consider the case that each mutant:WT contact confers the same additive energetic penalty for tetramer assembly (e.g., see Durkin et al., 1993
). A "contact" here refers to all of the interactions between two adjacent subunits in a tetramer. The possible conformations of heteromers fall into 4 classes.
For
![]()
For
![]()
For
![]()
For
![]()
We therefore created a modified (indicated by *) binomial distribution of stoichiometries as
![]() |
k defined as
![]() |
is the energetic penalty (kcal/mol) per mutant:WT contact in a tetramer and equals zero for "no penalty."
We use B*(4,k) to compute S*(k) and the expected fraction of homotetramer WT channels (F*), as above. We estimate the single parameter
by a variable metric algorithm. The predicted values of F* are shown as the solid line in Fig. 1 B.
| ACKNOWLEDGMENTS |
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This work was supported by National Institutes of Health grant R01 AR41691.
Submitted: 15 March 2005
Accepted: 12 July 2005
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A. J. Labro, A. Grottesi, M. S. P. Sansom, A. L. Raes, and D. J. Snyders A Kv channel with an altered activation gate sequence displays both "fast" and "slow" activation kinetics Am J Physiol Cell Physiol, June 1, 2008; 294(6): C1476 - C1484. [Abstract] [Full Text] [PDF] |
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Z. T. Schug, P. C. A. da Fonseca, C. D. Bhanumathy, L. Wagner II, X. Zhang, B. Bailey, E. P. Morris, D. I. Yule, and S. K. Joseph Molecular Characterization of the Inositol 1,4,5-Trisphosphate Receptor Pore-forming Segment J. Biol. Chem., February 1, 2008; 283(5): 2939 - 2948. [Abstract] [Full Text] [PDF] |
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C. Grimm, M. P. Cuajungco, A. F. J. van Aken, M. Schnee, S. Jors, C. J. Kros, A. J. Ricci, and S. Heller A helix-breaking mutation in TRPML3 leads to constitutive activity underlying deafness in the varitint-waddler mouse PNAS, December 4, 2007; 104(49): 19583 - 19588. [Abstract] [Full Text] [PDF] |
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I. R. Boulet, A. J. Labro, A. L. Raes, and D. J. Snyders Role of the S6 C-terminus in KCNQ1 channel gating J. Physiol., December 1, 2007; 585(2): 325 - 337. [Abstract] [Full Text] [PDF] |
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R. M. Hardman, P. J. Stansfeld, S. Dalibalta, M. J. Sutcliffe, and J. S. Mitcheson Activation Gating of hERG Potassium Channels: S6 GLYCINES ARE NOT REQUIRED AS GATING HINGES J. Biol. Chem., November 2, 2007; 282(44): 31972 - 31981. [Abstract] [Full Text] [PDF] |
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K. L. Nemeth-Cahalan, K. Kalman, A. Froger, and J. E. Hall Zinc Modulation of Water Permeability Reveals that Aquaporin 0 Functions as a Cooperative Tetramer J. Gen. Physiol., October 29, 2007; 130(5): 457 - 464. [Abstract] [Full Text] [PDF] |
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A. Raybaud, Y. Dodier, P. Bissonnette, M. Simoes, D. G. Bichet, R. Sauve, and L. Parent The Role of the GX9GX3G Motif in the Gating of High Voltage-activated Ca2+ Channels J. Biol. Chem., December 22, 2006; 281(51): 39424 - 39436. [Abstract] [Full Text] [PDF] |
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Z. Yan, Z. Liang, T. Obsil, and S. S. Stojilkovic Participation of the Lys313-Ile333 Sequence of the Purinergic P2X4 Receptor in Agonist Binding and Transduction of Signals to the Channel Gate J. Biol. Chem., October 27, 2006; 281(43): 32649 - 32659. [Abstract] [Full Text] [PDF] |
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J. S. Santos, A. Lundby, C. Zazueta, and M. Montal Molecular Template for a Voltage Sensor in a Novel K+ Channel. I. Identification and Functional Characterization of KvLm, a Voltage-gated K+ Channel from Listeria monocytogenes J. Gen. Physiol., August 28, 2006; 128(3): 283 - 292. [Abstract] [Full Text] [PDF] |
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K. J. Swartz Structure and Anticipatory Movements of the S6 Gate in K v Channels J. Gen. Physiol., October 31, 2005; 126(5): 413 - 417. [Full Text] [PDF] |
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