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ARTICLE |
Correspondence to Robert O. Blaustein: robert.blaustein{at}tufts.edu
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20 Å through the bilayer during the gating cycle (Jiang, Y., A. Lee, J. Chen, V. Ruta, M. Cadene, B.T. Chait, and R. MacKinnon. 2003. Nature. 423:3341; Jiang, Y., V. Ruta, J. Chen, A. Lee, and R. MacKinnon. 2003. Nature. 423:4248.; Ruta, V., J. Chen, and R. MacKinnon. 2005. Cell. 123:463475). We used two methods to test for analogous motions in the Shaker K+ channel, each examining the aqueous exposure of residues near S3. In the first, we employed a pore-blocking maleimide reagent (Blaustein, R.O., P.A. Cole, C. Williams, and C. Miller. 2000. Nat. Struct. Biol. 7:309311) to probe for state-dependent changes in the chemical reactivity of substituted cysteines; in the second, we tested the state-dependent accessibility of a tethered biotin to external streptavidin (Qiu, X.Q., K.S. Jakes, A. Finkelstein, and S.L. Slatin. 1994. J. Biol. Chem. 269:74837488; Slatin, S.L., X.Q. Qiu, K.S. Jakes, and A. Finkelstein. 1994. Nature. 371:158161). In both types of experiments, residues predicted to lie near the top of S3 did not exhibit any change in aqueous exposure during the gating cycle. This lack of state dependence argues against large-scale movements, either axially or radially, of Shaker's S3S4 voltage-sensor paddle.
A.A. Ivy's present address is Abbott Laboratories, Abbott Park, IL 60064.
V. Ketty's present address is BD Biosciences, Bedford, MA 01730.
Abbreviations used in this paper: MTS, methanethiosulfonate; MTSET, methanethiosulfonate ethyltriethylammonium; QA, quaternary ammonium.
| INTRODUCTION |
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Further insight into the motions of the voltage sensor came from an analysis of the exposure of S4 residues to the extracellular or intracellular milieus. Several of the charged residues in S4, when substituted to cysteine, reacted with sulfhydryl-specific probes in a state-dependent fashion (Yang and Horn, 1995
; Larsson et al., 1996
; Yang et al., 1996
; Yusaf et al., 1996
). Assuming that S4 remains helical throughout the gating cycle, the pattern of reactivity suggested one of two possible physical models: (1) S4 moves only a small distance, but through a concentrated and mobile electric field within an aqueous crevice whose shape and accessibility change with the gating state; or (2) each S4 segment undergoes a large transverse movement during gating and is able to translocate approximately three charged residues through an electric field that need not be concentrated over a small area. Significant state-dependent changes in the environment of S4 residues were confirmed by additional thiol-specific probing (Baker et al., 1998
; Wang et al., 1999
) and fluorescence measurements (Mannuzzu et al., 1996
; Gandhi et al., 2000
), however, the possibility that S4 moves only small distances garnered further support over the next several years from histidine scanning studies (Starace et al., 1997
; Starace and Bezanilla, 2001
), electrostatic calculations (Islas and Sigworth, 2001
), and resonance energy transfer measurements (Cha et al., 1999
; Glauner et al., 1999
).
Structural and functional data from KvAP, a prokaryotic voltage-gated K+ channel, prompted MacKinnon and colleagues to champion the notion of large-scale gating motions. X-ray crystal structures of the whole channel, as well as its isolated gating module, reveal S4 to be closely associated with a portion of S3 (S3b) in a helix-turn-helix motif, termed a "voltage-sensor paddle," that is held together by hydrophobic interactions (Jiang et al., 2003a
; Lee et al., 2005
). To gain further insight into the possible motions that the voltage sensor might undergo during gating, Jiang et al. (2003b)
complemented the structural data with a biotin-avidin functional assay (Qiu et al., 1994
; Slatin et al., 1994
). They found that at several positions in S3S4, biotinylated cysteines bind to external avidin much more readily at depolarized voltages than at hyperpolarized voltages, and a biotin tethered to either of two residues in S4 (L121C and L122C) binds to avidin from either side of the bilayer. These measurements, as well as those from a more extensive mapping of KvAP residues using this approach (Ruta et al., 2005
), led to the conclusion that the sizeable gating charge measured in voltage-gated channels arises from large (
20 Å) transverse displacements of the paddle through the lipid bilayer as it shuttles back and forth during the gating cycle. A further assertion was that this greasy cation moves at the proteinlipid interface, largely surrounded by lipid, and that it forms salt bridges with charges in S2 or S3, as originally suggested by mutagenesis studies (Tiwari-Woodruff et al., 1997
, 2000
).
In a more recent effort, MacKinnon and colleagues determined the structure of the mammalian Shaker homologue Kv 1.2 in complex with a ß subunit docked to its T1 domain (Long et al., 2005a
,b
). By using both lipids and detergents in the purification and crystallization process, they overcame some of the technical problems that limited interpretation of the KvAP structure; in the Kv 1.2 structure, the gating module was able to adopt a more native conformation and orientation. Here the voltage sensor paddle is tilted somewhat from the central axis, but it is more vertically oriented than the paddles in the KvAP structures, and, in agreement with a large body of accessibility data, the tops of S3 and S4 are positioned at or near the extracellular solution. Less clear is the precise composition of S3 and the S3S4 loop since the electron density in these regions was not strong enough to permit a clear assignment of residues. Furthermore, since the structure of Kv 1.2 appears to be of an open (and possibly inactivated) channel, the paddle's location in the closed state remains an unanswered question.
Although a model in which charged residues move through lipid may not seem energetically favorable from an electrostatic perspective, this potentially could be offset by the gain in free energy imparted by the hydrophobic effect that would favor greasy residues of S3 and S4 maintaining contact with lipid (Freites et al., 2005
; Hessa et al., 2005a
,b
). Such an effect may also explain how gating in diphtheria toxin channels is associated with the translocation of massive stretches of the protein that includes charged residues, possibly through a lipid environment (Oh et al., 1999
; Finkelstein et al., 2000
; Senzel et al., 2000
; Gordon and Finkelstein, 2001
). Nevertheless, several recent observations in mammalian voltage-gated K+ channels appear to be inconsistent with a large transmembrane motion of S3S4: the gating modifier Hanatoxin remains bound to Kv 2.1's voltage sensor in both activated and resting states and remains within the bilayer's outer leaflet (Lee et al., 2003
; Phillips et al., 2005
), thiol-reactive compounds react with some S3 residues in Shaker equally well in both states (Gandhi et al., 2003
; Gonzalez et al., 2005
), and resonance energy transfer experiments detect only small motions (Chanda et al., 2005
; Posson et al., 2005
).
Techniques that rely on aqueous accessibility to small probes as a surrogate for movement have several limitations. Large motions may go undetected if they do not lead to changes in accessibility, small motions can yield large changes in reactivity, and the presence of water-filled crevices can further cloud interpretation. Although resonance energy transfer techniques that measure distances between donor and acceptor molecules can overcome some of these issues, this method also has technical limitations, including the size of the fluorophores, their attachment via flexible linkers, and preservation of orientation factors (Horn, 2000
). In this paper we explore the range of voltage sensor motion in the Shaker potassium channel by examining the kinetics of two different chemical reactions: covalent tethering of maleimido-quaternary ammonium (QA) compounds to cysteines, and binding of streptavidin to biotinylated residues. Our approach offers two main advantages: (1) unlike methanethiosulfonate (MTS) reagents whose kinetics are determined only by cysteine reactivity, kinetics of tethered block are influenced both by reactivity and changes in distance to the pore that would occur during gating, and (2) the use of a larger probe like streptavidin can address concerns about the presence of aqueous crevices that allow access to smaller probes. Our results argue that residues near the top of Shaker's S3 segment do not move large distances either vertically, or toward or away from the pore during gating.
| MATERIALS AND METHODS |
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646) (Schwarz et al., 1988
Electrophysiology and Data Analysis
Stage VVI oocytes were harvested, defolliculated, injected with cRNA, and maintained at 17°C in an ND96-gentamicin solution containing DTT to prevent cysteine oxidation, as previously described (Blaustein, 2002
). 15 d following injection, oocytes were transferred to a homemade low volume (75100 µl) chamber containing a 0.3 mM CaCl2 ND96 solution without DTT or gentamicin, impaled with glass electrodes (Garner; KG-33) having resistances of 0.31.0 M
filled with 3 M KCl, 5 mM EGTA, and 10 mM HEPES, pH 7.6, and examined using a two-electrode voltage clamp amplifier (OC-725B; Warner Instruments). The voltage clamp amplifier was interfaced to a Digidata 1322A acquisition board (Axon Instruments) and a Windows-based computer running Axon's pClamp software (v 8.0). Electrical contact to the bath solution was made via 200 mM NaCl agar bridges. Maleimide-Gly7-TEA (abbreviated in future use as Gly7TEA; Fig. 1 C) was synthesized as previously described (Blaustein et al., 2000
). The concentration of a stock solution of known volume was determined by quantitative amino acid analysis (Yale HHMI/Keck Biopolymer Facility). This solution was then aliquoted, lyophilized, stored dry at 20°C, and dissolved immediately before use. Gly7TEA dissolved in recording solution was added to the chamber via addition of 20 µl of a 5x stock solution to 80 µl of solution in the chamber, followed immediately by rapid withdrawal and readdition of 20 µl of the resultant solution to achieve 90% mixing within 5 s.
Chargevoltage (Q-V) relationships in our WT Shaker channel and 334C mutant were determined by measuring gating currents in whole oocytes via two-electrode voltage clamp. Ionic current was eliminated by recording in the presence of 1 µM Agitoxin2 (provided by C. Miller, Brandeis University, Waltham, MA) and replacing the Na+ and K+ in the external solution with 95 mM NMDG. Oocytes were stepped from a potential of 120 to +40 mV in 10-mV increments for the "on" gating currents, and then back to 120 mV for the "off" currents. For each oocyte, the nonlinear components of the "on" and "off" capacitance currents were integrated (Aggarwal and MacKinnon, 1996
), and then averaged and normalized to generate a Q-V for that oocyte (Lee et al., 2003
; Kitaguchi et al., 2004
). Normalized Q-V's for each oocyte were then averaged and fitted to the Boltzmann function Qnorm = (1 + exp(zF(V V1/2)/RT)1.
Kinetics of Tethering Gly7TEA
Gly7TEA kinetic data were analyzed in the context of the model for maleimido-QA tethering previously developed (Blaustein, 2002
). The four tethering reactions in a channel bearing four cysteine targets are represented by a kinetic scheme containing five states, depicting channels that have not reacted (C0), channels that have undergone one tethering reaction (C1), etc. (Scheme I, Blaustein, 2002
):
Scheme 1 is described by a set of linked first-order differential equations whose solutions C0(t), C1(t)...C4(t) are sums of exponential functions with the pseudo first-order rate constants k1...k4 appearing in the exponents. Although the observed normalized current I(t) was expressed in Blaustein (2002)
as the sum of those concentrations weighted by the fraction of unblocked channels in each state, it can also be written as
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) is the remaining fraction of current after all channels have reacted, k1...k4 are functions of the intrinsic second-order rate constant for the cysteine-maleimide reaction (k), the effective local concentration of Gly7TEA's maleimide end at its cysteine target when its QA end occupies the pore (Mt), the concentration of free Gly7TEA (Bf), the Kd for reversible block of the QA end of Gly7TEA at the pore, and each Ai is a function of k1...k4, Mt, Bf, and Kd (but independent of k). Covalent tethering of Gly7TEA is accelerated by an affinity label effect in which reversible pore block by its QA moiety serves to concentrate its maleimide end near its cysteine target. This effect is greatest for the first of the four tethering reactions in each channel (i.e., k1 >> k2 > k3 > k4, and A1 >> A2 > A3 > A4) since the initial tethering reaction creates a cloud of concentrated QA that inhibits the subsequent binding of the QA end of a Gly7TEA free in solution. The time course of the tethering reaction therefore appears biphasic and well fitted by a double-exponential function, with a fast time constant and weight dominated largely by 1/k1 and A1, respectively, and a slower time constant whose reciprocal lies somewhere between k2 and k4, and whose weight reflects the sum of A2, A3, and A4.
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Two types of gating motions influence the kinetics of Gly7TEA tethering. Vertical movement of a target cysteine into and out of the bilayer affects only its reactivity (k); time courses of inhibition obtained with long- and short-pulse protocols would differ only with respect to the taus of their fits, with fast and slow components changing by the same degree since each k1...k4 is proportional to k. The associated weights will not change since the Ai's are independent of k. The effect of a pure radial motion is more complex and depends on both the distance from the cysteine to the pore and the extent that this changes during gating. (In our discussion of movements towards or away from [or distances to or from] the pore, we are referring to the channel's external TEA binding site at the outer mouth of the pore rather than the vertical axis of symmetry that is coincident with the permeation pathway.) Polymer theory dictates that this parameter influences the affinity label effect by changing the effective maleimide concentration at the cysteine when Gly7TEA's QA group is bound to the pore (Flory, 1969
). Therefore, if a cysteine moved closer to the pore during depolarization, tethering would proceed more rapidly when measured with our long-pulse protocol than with our short-pulse protocol. The functional relationship of the ki's and Ai's on Mt predicts that the taus for the long-pulse fits would be faster, and more heavily weighted. The extent of the shift in weights depends on the tethered concentration of Gly7TEA's QA group at the pore, with higher concentrations leading to more pronounced shifts.
To estimate the effect of a 5-Å radial movement of S3 on the kinetics of Gly7TEA tethering under our long-pulse protocol, we consider the case in which the top of S3 is 30 Å from the channel's external TEA binding site in the depolarized state (duration = 1 s), and 35 Å away in the hyperpolarized state (duration = 2 s; see Fig. 7, A and B) (Blaustein et al., 2000
; Posson et al., 2005
). Kinetics resulting from application of the short-pulse protocol and from 5 Å movements away from the pore during depolarization are determined analogously. k1...k4 are calculated according to Eqs. 14 in Blaustein (2002)
using a value of 50 µM for Bf (as in our experiments), a value of 30 M1s1 for k (estimated by fits of our Gly7TEA data to the model), and a value of 1.5 mM for the Kd for reversible block of the QA end of Gly7TEA at the pore, determined experimentally. The other parameter used to calculate the rate constants is Mt, the effective local concentration of Gly7TEA's maleimide end at the top of S3 when its QA end occupies the pore, and it is this quantity that varies as S3 moves toward or away from the pore. To determine its value in each case, we approximate Gly7TEA as a polyglycine molecule and model its behavior using polymer statistical methods. P(r), the concentration of one end of the polymer at a distance r from its other end, is calculated from the exact solution of the random flight method applied to the freely jointed chain (see Ch. 8 of Flory, 1969
):
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2.3 glycines, provides a more realistic approximation for polyglycine in the freely jointed model (Flory, 1969
Biotinylation and Inhibition with Streptavidin
Oocytes expressing the D336C mutation in the triple-cys() construct described above were maintained in ND-96 containing 1% DTT at 17°C, rinsed in DTT-free ND-96, and biotinylated with 1 mM N-biotinylaminoethyl methanethiosulfonate (MTSEA-biotin; Toronto Research Chemicals) or 1 mM N-(ß-D-glucopyranosyl)-N'-[(2-methanethiosulfonyl) ethyl] urea (MTS-glucose; Toronto Research Chemicals) under depolarizing conditions using a high K+ buffer (52 mM KCl, 48 mM NaCl, 1 mM MgCl2, 0.3 mM CaCl2, 10 mM HEPES) for 1 h at room temperature. Under these conditions, channels are fully biotinylated as judged from a lack of any subsequent inhibition upon exposure to Gly7TEA. They were then devitellinized in a hypertonic solution (296 mM NaCl, 1 mM MgCl2, 0.3 mM CaCl2, 10 mM HEPES), transferred into 2% agar-coated dishes filled with ND-96, and allowed to recover for 23 h at 17°C. We found that devitellinizing the oocyte led to a more robust and reproducible effect of streptavidin, and the recovery period eliminated leak currents that are present if we record immediately after devitellinization. Currents through biotinylated channels were measured by two-electrode voltage clamp as described above, with minor modification to the voltage protocol. In the short-pulse protocol, oocytes were held at 90 mV and subjected to a 100-ms depolarizing pulse to +20 mV every 10 s; in the long-pulse protocol, oocytes received 1-s pulses every 10 s (this construct exhibited more rapid C-inactivation, likely due to the C462A mutation, and necessitated the longer interpulse interval to allow adequate recovery). Tetrameric streptavidin (Calbiochem/EMD Biosciences) was added by pipetting a 1 mg/ml (in ND-96) solution into the chamber and rapidly mixing to a final concentration of 200 µg/ml (3.3 µM). Time courses obtained with the short-pulse protocol were generated by plotting the isochronal currents at 99 ms (1 ms prior at the end of each depolarized pulse) as a function of time. For comparison with long-pulse protocol experiments (Fig. 6 C), these latter currents were also obtained 99 ms into each pulse. To quench the streptavidin reaction at desired time points, d-biotin (Sigma-Aldrich) was rapidly added to a final concentration of 500 µM; these experiments were done using long pulses, and isochronal currents at 999 ms were used in generating the time courses of Fig. 6 D.
| RESULTS |
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60% of the current (Fig. 3), in agreement with previous measurements at this residue using higher concentrations of Gly7TEA (Blaustein et al., 2000
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336357; see Fig. 1 B). Related deletions in the S3S4 loop Shaker have previously been studied and, although they exhibit alterations in activation and deactivation kinetics, they behave fairly normally (Mathur et al., 1997
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10-fold higher concentrations are needed to obtain comparable rates of inhibition. (A consequence of using a higher concentration of Gly7TEA [400 µM] in these experiments is that we observe an initial rapid inhibition of
20% due to reversible block by the QA end of untethered Gly7TEA. At the end of the time course, however, that reversible component contributes negligibly since tethering has created an effective local concentration of QA at the pore of
20 mM.)
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40 Å diameter), whereas our data above were obtained using a maleimide reagent whose smaller size might allow it to reach regions inaccessible to avidin. We therefore employed an approach similar to that of Jiang et al.; we biotinylated Shaker at position D336C using an
16-Å-long MTSEA-biotin, exposed it to streptavidin, and looked for state-dependent changes in accessibility (biotinylation alone does not alter the level of steady-state current through these channels ; Fig. 6 C).
As shown in Fig. 6 (B and C), streptavidin added to the extracellular solution results in a progressive inhibition of current with each pulse, with no change in the "leak" current at 90 mV. We performed initial experiments with avidin, which also inhibits; however, streptavidin yielded more consistent results. This may be due to its more physiologic isoelectric point (pI = 56) compared with avidin (pI = 10), and the fact that it is not glycosylated (Green, 1990
50% inhibition of current that does not recover upon washout, with a t1/2 of inhibition of
370 s. Importantly, the rate of inhibition is independent of the relative amounts of time spent by the channel at 90 or +20 mV. There is also no recovery of current if the oocyte is maintained for 5 min at 90 mV, either before or after washout of streptavidin, suggesting that channels have not reversibly entered a C-inactivated state. We observed similar inhibition (unpublished data) using an
29-Å-long PEO-maleimido-biotin; this compound leaves a much longer linker after exposure to streptavidin (
13 vs.
0 Å). We also performed several types of control experiments to ensure that the observed inhibition is due to a specific interaction between streptavidin in solution and biotin tethered to residue 336C. Streptavidin has no effect on "wild-type" channels that have been exposed to MTSEA-biotin, or on D336C channels that have been prereacted with MTS-glucose instead of MTSEA-biotin (Fig. 6 C). We do occasionally observe a small amount of "nonspecific" inhibition (1015% inhibition after 45 min) when we apply streptavidin to D336C channels that have not been exposed to any thiol-reactive reagents. Although we do not fully understand its mechanism, we suspect that cysteine oxidation is involved since it is not seen in the presence of a reducing agent, or if D336C channels have been prereacted with MTS-glucose, as described above.
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| DISCUSSION |
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15 Å water-containing region occupied by the phospholipid headgroups. Although this region is polar and could potentially support thiol-maleimide chemistry, the steep gradient in polarity that a sulfhydryl would experience as it moved into or within this interfacial region makes it unlikely that its reactivity would not change (White and Wimley, 1998
Crystallographic data from KvAP and its isolated gating module formed the structural basis for a model in which S4 remains tightly coupled to S3b throughout the gating cycle. Indeed, the minimal length of KvAP's S3S4 linker makes it hard to envisage how S4 might move into and out of the bilayer without dragging S3 with it. But Shaker has a much longer S3S4 linker; could it provide enough slack to allow Shaker's S4 to uncouple from S3 and move independently? The combination of a lack of state-dependent exposure of S3 with the observed change in S4's reactivity is consistent with such a mechanism; however, our failure to unearth any state dependence when we removed most of that linker argues against it, as does the preservation of gating charge in other loop-deletion constructs (Gonzalez et al., 2000
).
Although our view of the structure of the lipid bilayer has been brought into sharper focus over the past two decades (Wiener et al., 1991
; Wiener and White, 1992a
,b
), atomic level details of the interaction between lipids and membrane proteins are only just beginning to emerge. Recent molecular dynamics calculations may shed light on this issue, particularly as it relates to voltage sensor structure. Simulations of an isolated KvAP-like S4 peptide embedded in a lipid bilayer reveal significant distortions of the bilayer in the vicinity of the S4 arginines (Freites et al., 2005
). If these results can be generalized to the S3bS4 paddle, then this structure might actually drag lipid and water with it if it moved down toward the core of the bilayer. A small probe like Gly7TEA might not be ideally suited for measuring physical displacements in this case, since it might not be capable of reporting a more global change in environment during gating. This potential shortcoming, as well as the results of Jiang et al. (2003b)
, motivated us to probe with a much larger molecule like streptavidin, whose
40 Å diameter makes it less sensitive to small-scale bilayer perturbations.
We found that externally applied streptavidin inhibits Shaker channels that have been biotinylated near S3, and the rate of this inhibition is independent of the gating state of the channel. Since the MTSEA-biotin reagent that we used leaves essentially no distance between its cysteine target and the biotinstreptavidin complex, the lack of state dependence argues that the biotinylated cysteine remains exposed to the extracellular solution throughout the gating cycle. This is in contrast to results obtained with avidin in KvAP where a biotinylated cysteine at the top of S3 is not accessible to extracellular avidin in the closed state (Jiang et al., 2003b
). As Jiang et al. argue, given the length of the biotin reagent used, this implies that the top of S3 in KvAP is buried in the membrane in the closed state, and remains at least
10 Å from the extracellular solution during this portion of the gating cycle.
The extent to which the biotin-streptavidin and Gly7TEA experiments constrain the possible axial motions of the voltage sensor hinges on the exact make-up of Shaker's S3 transmembrane segment. If Shaker residues 334 and 335 form part of its S3 helix, as suggested by the alignment of KvAP and Shaker (Fig. 1 B), then any such motion would have to be very small. However, the C-terminal portions of S3 in Shaker and KvAP are not well conserved, and this may limit the degree to which we can extrapolate from the KvAP structure to that of Shaker. For example, if residues 334336 are disordered and extend far enough into the S3S4 loop, larger movements might still be compatible with our data. Unfortunately, the structure of Kv 1.2 does not shed light on this question since the residues comprising its S3 helix were not able to be resolved. Although further indirect probing will provide additional insight into gating motions, resolution of the discrepancy between our results and those in KvAP will also likely require high resolution crystal structures of mammalian and bacterial channels in both open and closed configurations.
The overall rates of inhibition that we observe with streptavidin are one to three orders of magnitude slower (when compared at comparable concentrations) than those seen with purified biotinylated KvAP and diphtheria toxin channels reconstituted into lipid bilayers (Senzel et al., 2000
; Ruta et al., 2005
). Since KvAP and diphtheria toxin were studied in an idealized system lacking other molecules, it is not surprising that capture rates are faster than in oocytes whose surfaces contain glycosylated proteins that could potentially interfere with streptavidin binding. Capture rates of streptavidin to biotin-conjugated BSA immobilized on a BIAcor chip, a lipid-free system, are even faster, displaying association rate constants two orders of magnitude greater than in the bilayer system (Qureshi et al., 2001
), suggesting that partitioning of biotin into the lipid may affect its aqueous accessibility in the more biological systems. An additional factor that makes it difficult to compare our rates of capture to those obtained in other systems is that our time courses of inhibition are not single-exponential decays as expected for a second-order reaction of biotin with streptavidin under pseudo-first order conditions. Knowledge of the molecular mechanism of inhibition by tethered QA ligands allowed us to conclude that the multiexponential time courses exhibited by those compounds arise from a combination of an affinity label effect coupled with multiple reactions in a given channel. Although multiple reactions of streptavidin in a tetrameric channel bearing four biotins may also be responsible for the biphasic nature of its inhibition, we do not know how many streptavidin molecules must bind to inhibit, or whether the first streptavidin reaction proceeds more rapidly than subsequent reactions. Accurate interpretation of fits of these time courses and rates will therefore only be possible when streptavidin's mechanism of inhibition has been elucidated.
Although our discussion of Gly7TEA tethering kinetics has focused on the lack of axial motion exhibited by S3, as pointed out in Materials and methods, the lack of any state dependence of any of the parameters (taus and associated weights) of the tethering kinetics for Gly7TEA near S3 also imposes a radial constraint on S3's motions: if the top of S3 does move, it must do so in a way that does not significantly change its distance to the channel's external TEA binding site. To estimate the range of motions that we could detect, we modeled Gly7TEA using a polyglycine polymer of similar length and examined the difference in tethering kinetics resulting from our short- and long-pulse protocols. Fig. 7 (AC) shows the simulated effects of S3 moving from a distance of 35 Å from the pore in the hyperpolarized state to 30 Å away in the depolarized state, a range of distances that correspond to those measured in this region previously (Blaustein et al., 2000
; Posson et al., 2005
).
Our model generates a set of four rate constants at each distance (see Materials and methods): k35 is our shorthand for the constants at 35 Å, and k30 denotes those at 30 Å. Since the effective maleimide concentration is greater when S3 is closer to the pore, the k30 rate constants and the resultant tethering rate at 30 Å are larger than the corresponding constants in the k35 set and the tethering rate at 35 Å. Simulation of the short-pulse protocol yields a time course (Fig. 7 C, black curve) that is well described by a double-exponential function with taus (and weights) of 27 s (57%) and 120 s (43%). As expected, simulated kinetics resulting from the long-pulse protocol are faster since S3 is closer to the pore for a greater fraction of the time (Fig. 7 C, gray curve). The approximately twofold increase in rate predicted by the model, with taus of 12 s (57%) and 60 s (43%), should be readily detectible experimentally since it falls well within the 1015% standard error of our measurements. A 5-Å movement away from the pore during depolarization produces the opposite effect: the long-pulse protocol generates slower kinetics than the short-pulse protocol, since S3 spends a greater fraction of its time farther from the pore (Fig. 7, DF). Fits of the simulations yield taus (and weights) of 28 s (57%) and 125 s (43%) for short pulses (Fig. 7 F, black curve) and 40 s (57%) and 169 s (43%) for long pulses (Fig. 7 F, gray curve). This
40% slowing is less dramatic than the twofold acceleration effect seen above, and is probably at the edge of detectability. Such a limitation would not allow us, for example, to detect the 0.71.1-Å outward movement of E335C demonstrated by Posson et al. (2005)
using luminescence energy transfer. Could a radial motion that accelerates (or slows) tethering be coincident with an axial motion that decreases (or increases) exposure in such a way that these two effects exactly cancel each other to produce state-independent tethering kinetics? This is unlikely since the large change in reactivity that would follow a change in exposure would need to be offset by a large radial motion to preserve the taus of the fits. In such a case, we would also see significant changes in the weights of the fits.
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To bolster our argument that Gly7TEA is a suitable probe for measuring state-dependent changes in solvent exposure of S3 residues, we performed a "positive control" by examining the rate of Gly7TEA tethering to A359C, a residue near the top of S4 that was previously shown to react with MTSET more rapidly in the open state than in the closed state (Larsson et al., 1996
; Baker et al., 1998
). Since the short distance between the QA moiety of MTSET and its reactive disulfide does not enable this compound to behave as an affinity label, its reaction kinetics can only reveal changes in cysteine exposure during gating. In contrast, Gly7TEA kinetics are determined both by exposure and distance to the pore of its target cysteine, and analysis of the state dependence of Gly7TEA tethering near at 359C can therefore provide further insight into the motion of S4. For example, to account for our observation that the shift in taus is accompanied by a large shift in weights to the faster component, A359C must do more than simply increase its exposure during depolarization. Our model dictates that we must also invoke a state-dependent change in the effective local concentration near A359C of Gly7TEA's maleimide end when its free QA end is blocking the pore (Mt) (see Materials and methods and Blaustein, 2002
). Since the only way for this to occur is if the distance from the tethering point to the pore changed during gating, our data are best explained if the increase in reactivity of A359C in the open state is also accompanied by a radial movement toward the pore. How large a movement is necessary to account for our findings? If in modeling the state-dependent kinetics we use a range of 520-fold for the increase in intrinsic reactivity of Gly7TEA, based on our own data and those of others using MTSET, then Mt would have to increase by 510-fold at depolarized voltages to yield a shift in the taus and weights comparable to what we observe. If we further assume that A359C is 3035 Å from the pore, and use the polymer statistical approach detailed in Materials and methods, this would correspond to an inward movement of 25 Å. Although the large number of assumptions required to generate this estimate limits its accuracy, it is worth noting that Posson et al. (2005)
found that the neighboring residue L361C also moves inward upon depolarization, although to a lesser extent. Our data still leave open the question of whether the proposed inward movement of A359C results from a rotation of S4, a change in its tilt, or some combination of these or other motions. A possible trajectory consistent with our S3 data would be one in which S4 pivots around S3; such a motion could still be compatible with an S3S4 paddle, but as discussed above, not with a model that involves large vertical translocations.
| ACKNOWLEDGMENTS |
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This work was supported by National Institutes of Health grants R01HL68985 (R. Blaustein and V. Ketty), T32HL069770 (A. Ivy and R. Darman), and American Heart Association Postdoctoral Fellowship 0225647T (R. Darman).
Olaf S. Andersen served as editor.
Submitted: 6 July 2006
Accepted: 25 October 2006
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