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The Journal of Neuroscience, March 1, 1999, 19(5):1577-1585
Molecular Dynamics of the Sodium Channel Pore Vary with Gating:
Interactions between P-Segment Motions and Inactivation
Jean-Pierre
Bénitah1,
Zhenhui
Chen1,
Jeffrey R.
Balser2,
Gordon F.
Tomaselli1, and
Eduardo
Marbán1
1 Section of Molecular and Cellular Cardiology,
Department of Medicine and 2 Division of Cardiac
Anesthesiology, Department of Anesthesiology and Critical Care
Medicine, The Johns Hopkins University School of Medicine,
Baltimore, Maryland 21205
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ABSTRACT |
Disulfide trapping studies have revealed that the pore-lining (P)
segments of voltage-dependent sodium channels undergo sizable motions
on a subsecond time scale. Such motions of the pore may be necessary
for selective ion translocation. Although traditionally viewed as
separable properties, gating and permeation are now known to interact
extensively in various classes of channels. We have investigated the
interaction of pore motions and voltage-dependent gating in µ1 sodium
channels engineered to contain two cysteines within the P segments.
Rates of catalyzed internal disulfide formation (kSS) were measured in K1237C+W1531C
mutant channels expressed in oocytes. During repetitive voltage-clamp
depolarizations, increasing the pulse duration had biphasic effects on
the kSS, which first increased to a
maximum at 200 msec and then decreased with longer depolarizations.
This result suggested that occupancy of an intermediate inactivation
state (IM) facilitates pore
motions. Consistent with the known antagonism between alkali
metals and a component of slow inactivation,
kSS varied inversely with external
[Na+]o. We examined the converse
relationship, namely the effect of pore flexibility on gating, by
measuring recovery from inactivation in Y401C+E758C (YC/EC) channels.
Under oxidative conditions, recovery from inactivation was slower than
in a reduced environment in which the spontaneous YC/EC cross-link is
disrupted. The most prominent effects were slowing of a component with
intermediate recovery kinetics, with diminution of its relative
amplitude. We conclude that occupancy of an intermediate inactivation
state facilitates motions of the P segments; conversely, flexibility of
the P segments alters an intermediate component of inactivation.
Key words:
sodium channel; inactivation; permeation; cysteine
mutagenesis; disulfide bond
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INTRODUCTION |
Gating and permeation are
conceptually distinct features of channels: gating processes determine
whether the channel is open, whereas permeation focuses on the
translocation of ions through the channel (Hodgkin and Huxley, 1952 ).
The first insights into channel anatomy suggested a comfortable
structural segregation to match the functional dichotomy. In the case
of voltage-dependent K channels, we learned that fast inactivation was
conferred by an N-terminal peptide whose removal did not alter channel
conductance or selectivity, properties believed to reside far away in
the S5-S6 linkers (pore-lining or "P" segments) (Hoshi et al.,
1990 ; Zagotta and Aldrich, 1990 ). However, it soon became clear that residues that confer a slower form of inactivation ("C-type") reside within the P segments; mutations of these residues altered not
only gating but also permeation (Hoshi et al., 1991 ; Isacoff et al.,
1991 ; McCormack et al., 1991 ; De Biasi et al., 1993 ). Numerous other
examples have emerged to challenge the truism that gating and
permeation are distinct and independent (Tomaselli et al., 1995 ; Balser
et al., 1996 ; Chen et al., 1997 ; Townsend and Horn, 1997 ; Townsend et
al., 1997 ; Yellen, 1997 ). Another long-held notion, which has recently
been questioned, is that which presumes biological channel pores to be
rigid structures, by analogy to the binding sites of ion-selective
glass membranes (Eisenman and Krasne, 1975 ). The P segments of sodium
channels are exceptionally mobile (Bénitah et al., 1997a ;
Tsushima et al., 1997 ), and evidence has been presented that such
mobility enhances selectivity (Tsushima et al., 1997 ). Nevertheless, it is not yet clear whether P-segment mobility can influence channel gating or whether gating processes can influence the molecular dynamics
of the pore.
To examine these questions, we expressed two previously characterized
double-cysteine mutants of the µ1 sodium channel: K1237C+W1531C (KC/WC) and Y401C+E758C (YC/EC). Both channels contain two cysteines within the P segments for disulfide trapping experiments. KC/WC is
representative of one class of such channels: it does not form an
internal disulfide spontaneously, but it does so in the presence of a
redox catalyst. We determined that either modifying the depolarizing pulse duration or altering the external permeant ion concentration ([Na+]o), maneuvers that alter
the inactivated-state occupancy, changes the rates of catalyzed
internal disulfide formation in KC/WC. To examine the converse issue,
namely the effect of pore motions on gating, we studied YC/EC. This
mutant spontaneously forms an internal disulfide bond between the 401 and 758 positions in the usual oxidized environment. In this
cross-linked state, the pore is constrained and membrane current
decreases; conductance increases when the channels are exposed to a
reduced environment (Bénitah et al., 1996 ; Tsushima et al.,
1997 ). The fact that conductance is measurable both before and after
reduction makes YC/EC ideal for the comparison of gating transitions in
cross-linked (constrained) and noncross-linked (freely mobile) channels.
We find that gating influences motions and vice versa. The direction of
the effects is as follows. Greater flexibility decreases the occupancy
of a particular inactivated state and slows its recovery kinetics;
conversely, pulse protocols that favor the occupancy of this
inactivated state facilitate KC/WC disulfide formation.
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MATERIALS AND METHODS |
Mutagenesis and channel expression. Site-directed
mutagenesis of the subunit of the µ1 Na channel cDNA was
performed as described previously (Bénitah et al., 1997a ).
Briefly, mutations were introduced by recombinant PCR on the
double-stranded cDNA using pfu DNA polymerase and verified
by sequencing. Oocytes were removed through an abdominal incision from
ovaries of adult female Xenopus laevis (Xenopus
I, Ann Arbor, MI, or Nasco, Ft. Atkinson, WI) under anesthesia and then
treated for 1 hr with collagenase (Type 1A, Sigma, St. Louis, MO) in
modified Barth's solution containing (in mM): 88 NaCl, 1 KCl, 2.4 NaHCO3, 15 Tris base, 0.8 Ca(NO3)2-4 H2O, 0.41 CaCl2-6 H2O, 0.82 MgSO4-7
H2O, supplemented with 100 U/ml penicillin, 100 µg
streptomycin, 250 ng fungizone, and 50 µg/ml gentamicin). Oocytes
(stages V and VI) were coinjected with cRNA for the µ1
Na+ channel subunit and the rat brain 1
subunit in an equimolar ratio (Bénitah et al., 1997a ).
Electrophysiology and data analysis. Membrane currents were
recorded 24-72 hr after injection using two microelectrodes, as described previously (Bénitah et al., 1997b ), in frog Ringer's solution containing (in mM): 96 NaCl, 2 KCl, 1 MgCl2, 5 HEPES, pH 7.6. Dithiothreitol (DTT; 1 mM) and Cu(II)(1, 10-phenanthroline)3 [Cu(phe)3; 100 µM] were dissolved in
the external solution as described previously (Bénitah et al.,
1997a ). Voltage protocols and data acquisition were managed by
custom-written software as described previously (Bénitah et al.,
1997b ). Linear leak and capacitive currents were corrected using a P/4
protocol. Best data fits were performed using a nonlinear least-squares
Marquardt-Levenberg algorithm (Origin, MicroCal, Northampton, MA).
Average data are expressed as means ± SEM. Statistical
significance levels were evaluated by ANOVA and paired t
test (Origin), as appropriate. A p value of < 0.05 was
considered significant.
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RESULTS |
Cu(phe)3 catalyzes disulfide formation
We showed previously that multiple double-cysteine mutants of the
µ1 Na channel can form internal cross-links, either spontaneously or
in the presence of the redox catalyst Cu(phe)3. Because of the patterns and rates of the reactions, we concluded that the P
segments that form the structural basis of the permeation pathway are
flexible (Bénitah et al., 1997a ). Figure
1 shows an example of the occlusion of
the pore by catalyzed internal disulfide formation. The panels show
representative Na currents in response to consecutive 50 msec
depolarizing test pulses (0.5 Hz) in wild-type (µ1 WT), in K1237C and
W1531C single mutants, and in the paired KC/WC mutant channels. The
wild-type and single-cysteine mutants were entirely insensitive to 100 µM Cu(phe)3 for 2 min. In contrast,
exposure to the redox catalyst progressively inhibited the current
through KC/WC channels. During 6 min of exposure to
Cu(phe)3, we observed a progressive reduction of the
current that could only be reversed by DTT or reduced glutathione (data
not shown). The inset shows superimposed currents at a faster time
scale; the decay kinetics of these currents did not change, suggesting
that fast inactivation gating was not affected by the inhibition of the
current. These findings are consistent with the idea that the cysteines
at positions 1237 and 1531 form a disulfide bond in the presence of the
redox catalyst, rendering the channels nonconducting. Single-cysteine mutants at each of these positions do not form a disulfide with endogenous cysteine residues that alter channel conductance. Only channels that are not yet cross-linked conduct current, such that the
remaining current is simply scaled. Similar results were consistently observed for this double-cysteine mutant, as well as several other engineered cysteine pairs (Bénitah et al., 1997a ). These
observations imply the existence of motions in the pore; constraining
such motions through disulfide bond formation eliminates or reduces ion
flux.

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Figure 1.
Effect of external application of
Cu(phe)3 on wild-type and mutant µ1 Na current.
Whole-cell Na currents were recorded from Xenopus
oocytes coexpressing wild-type or mutant subunits and the rat brain
1 subunit. The subunits were (from
top to bottom) µ1 wild-type, K1237C,
W1531C, and the double-mutant K1237C+W1531C. Na currents were elicited
by 50 msec pulses from 100 to 30 mV at 0.5 Hz. The calibration bar
represents the time base at which the individual current records are
displayed. The total experimental time in seconds is shown on the
abscissa. The arrowhead indicates the time at which the
redox catalyst Cu(phe)3 (100 µM) was applied.
Currents from the wild-type and each of the single mutants were not
modified by application of Cu(phe)3, whereas
the current through the double-mutant K1237C+W1531C was progressively
inhibited. Inset, Selected currents recorded from the
double-mutant K1237C+W1531C during depolarizing voltage steps in
the absence (a) and after 40 sec
(b), 2 min (c), and 6 min
(d) of exposure to 100 µM
Cu(phe)3.
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To quantify the thermal backbone motions revealed by disulfide trapping
methods, the oxidation catalysis reactions were analyzed according to
Careaga and Falke (1992) as described previously (Bénitah et al.,
1997a ). Briefly, the oxidation chemistry of the Cu(phe)3
catalysis yields two competing reactions that generate the intended
disulfide bond product and undesired higher oxidation products of
cysteine. Higher oxidation products may be formed in the wild-type and
single-cysteine mutant channels but do not affect the current amplitude
or gating (Fig. 1). Furthermore, both catalytic reactions are
effectively irreversible under these oxidized experimental conditions.
Application of Cu(phe)3 to the KC/WC mutant eliminates the
current, presumably by disulfide bond formation, and is reversible
under reducing conditions. Therefore the rate of formation of higher
oxidation products is slowed compared with the rate of disulfide bond
formation. The rate constants of the disulfide formation reaction
(kss) were determined by fitting a
single-component reaction scheme to the observed time course of the
Cu(phe)3 inhibition of the current (see legend of Fig. 2) (Bénitah et al., 1997a ). Figure
2 shows a representative disulfide reaction time course for the KC/WC
channels, including a nonlinear fit illustrating good agreement between
the single-component reaction scheme and the data.

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Figure 2.
Disulfide formation time course for the
K1237C+W1531C channels. The normalized current amplitude of the
superimposed current traces of the bottom panel of Figure 1 is plotted
as function of the duration of redox catalyst Cu(phe)3
exposure (plus symbols). A function describing
the single-component reaction scheme (see Results) was fitted to
the data: 1 I/Imax = 1 exp( kss(t + {exp( t/tp)} 1). The fitted rate parameters kss for this
reaction is 9.13 × 10 3 · sec 1 · molecule 1
after correction for the rate of bath exchange
(tp, 9.9 sec in this case)
(Bénitah et al., 1997a ).
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Occupancy of a particular inactivated state facilitates
disulfide formation
During depolarization, voltage-gated ion channels assume
nonconducting inactivated states, which may be characterized as
"fast" or "slow," depending on the rate at which the channels
recover from inactivation when subsequently repolarized (Rudy, 1978 ). Short depolarization favors fast inactivation, whereas slow-inactivated conformations develop with longer depolarizations. Although fast inactivation involves internal structures exposed to the cytoplasm [the N terminus in K channels (Hoshi et al., 1990 ) and the III-IV linker in Na channels (Stühmer et al., 1989 )], slow inactivation seems to involve residues in the outer pore. In Shaker
potassium channels (Liu et al., 1996 ), a slow (C-type) inactivation
process has been linked to dynamic rearrangement of residues in the
P-segment. Furthermore, recent studies in µ1 Na+
channels (Balser et al., 1996 ) have shown that cysteine substitution of
a single P-segment tryptophan (W402C) reduces slow inactivation. Given
the spatial proximity between W402 and both K1237 and W1531 (Bénitah et al., 1997a ), we examined the relationship between slow inactivation and K1237C-W1531C disulfide bond formation. Our
previous work (Bénitah et al., 1997a ) showed that the effect of
Cu(phe)3 on disulfide formation is not overtly voltage
dependent; however, these experiments were not designed to discriminate
among particular inactivated states. Figure
3 illustrates that the time course of
Cu(phe)3 inhibition depends on the duration of
depolarization. Macroscopic currents from oocytes expressing KC/WC
channels were monitored during a 0.05 Hz pulse train with
depolarizations from 100 to 40 mV before and after addition of 100 µM Cu(phe)3 to the bath solution. Although
with 50 or 5000 msec pulse duration complete inhibition requires >9
min, with 200 msec pulses the Cu(phe)3 effect is nearly
complete within 5 min.

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Figure 3.
Effect of pulse duration on the rate of
Cu(phe)3 catalysis. Representative examples are shown for
Cu(phe)3 inhibition of the peak K1237C+W1531C Na current as
a function of pulse duration. Whole-cell currents were elicited in 96 mM [Na+]o using 0.05 Hz
pulse trains with individual depolarizations from 100 to 40 mV
lasting 50, 200, or 5000 msec (from top to
bottom). The total time of the experiment is shown on
the x-axis; the time base of the individual currents is
indicated by the calibration bar. The arrowhead
indicates the time of application of the redox catalyst.
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Figure 4 summarizes the rate constants of
redox catalysis determined from a number of oocytes exposed to
Cu(phe)3 and trains of depolarizing pulses ranging from 3 msec to 5 sec. In all cases, the pulse frequency (0.05 Hz) was slow
enough to allow complete recovery from inactivation between
depolarizations (data not shown). Disulfide bond formation hastened as
the pulse lengthened, reaching a peak value at 200 msec (Figs. 3, 4).
When even longer pulses were applied, kss slowed
to a rate nearly the same as that in the briefest (3 msec) pulse. These
results indicate that pulse durations of intermediate length enhance
the rate of disulfide formation, suggesting that occupancy of an
"intermediate" inactivated state may facilitate the catalytic
effect of Cu(phe)3.

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Figure 4.
Cu(phe)3 catalyzed disulfide bond
formation in the K1237C+W1531C double mutant has a biphasic dependence
on pulse duration. The disulfide formation rates
(kss) plotted as a function of the
pulse duration for oocytes expressing the K1237C+W1531C double mutant.
The Na currents were elicited by depolarizing pulses at a rate of 0.05 Hz and durations ranging from 3 msec to 5 sec. We detect no cumulative
of inactivation at this slow stimulation frequency for even the longest
(5 sec) depolarizations. Currents were measured before and after
addition of 100 µM Cu(phe)3, and the
reaction rate constants were determined as described for Figure 2. The
plotted values (means ± SEM) represent measurements from at least
four different oocytes for each data point. *, p < 0.02; **, p < 0.002.
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When the and 1 subunits of µ1 channels are
coexpressed in Xenopus oocytes and subjected to 1 sec
depolarizations, inactivation is characterized by a minimum of three
readily distinguishable kinetic components (Nuss et al., 1995 ). These
include an initial rapid component ( fast) with a
recovery time constant of ~1 msec, which exhibits marked sensitivity
to mutations in the III-IV linker (West et al., 1992 ; Lawrence et al.,
1996 ), and two slower components ( intermediate and
slow) with recovery time constants of ~100 msec
and 1 sec, which are sensitive to domain I, P-segment mutations (Balser
et al., 1996 ; Kambouris et al., 1998 ). Although a number of gating
schemes are consistent with these kinetic data, the following model
provides a convenient framework for discussing the possible interaction
between fast (IF), intermediate
(IM), and slow-inactivated
(IS) states and disulfide bond formation: Closed Open IF IM IS.
To examine the hypothesis that the rate of disulfide formation is
associated with entry into a particular inactivated state with
intermediate kinetics (IM in the scheme above),
we studied the rate of inactivation of the KC/WC mutant using a
paired-pulse voltage-clamp protocol (Fig.
5, top). Channels were
depolarized for incremental periods, and fractional recovery was
assessed after a 20 msec recovery interval (permitting recovery from
the fast-inactivated state, IF). The rate
of development of inactivation was well described by a biexponential
function, with time constants of 66 msec and 5.2 sec (see legend to
Fig. 5), consistent with time-dependent entry into two distinct
inactivated states (IM + IS). Furthermore, the time constant of
entry into the IM state is consistent with the
pulse duration that induced the most rapid rate of disulfide formation
(200 msec) (Fig. 4). Much shorter pulses would populate only
IF, whereas longer pulses begin to recruit an appreciable fraction of IS. These
findings suggest that disulfide formation in the outer pore is
facilitated by occupancy of IM.
Furthermore, the biphasic nature of kss suggests
that channels occupying fast-inactivated states
(IF) are less likely to form disulfides,
as are the states favored by even longer depolarizations (IS).

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Figure 5.
Rate of development of intermediate and
slow-inactivation for the double-mutant K1237C+W1531C. As shown in the
voltage-clamp protocol (top), the duration of the
depolarizing prepulse ( 40 mV) was varied, and the extent of recovery
after 20 msec at 100 mV was assessed using a 50 msec test pulse to
40 mV. The 20 msec recovery interval removed the most rapidly
recovering inactivation component
(IF) from consideration. Plotted is
the fractional recovery from inactivation as a function of the prepulse
duration. Data were collected from seven oocytes. The dotted
line shows a nonlinear fit to the mean data using the function:
y = A1exp( t/ 1) + A2exp( t/ 2). The
least squares error was minimized when A1 = 0.2, 1 = 66 msec, A2 = 0.8, and 2 = 5212 msec.
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[Na+]o modulates the rate of
disulfide formation
Although flux generally increases as a function of permeant ion
concentration, an unanticipated inhibition of open probability by a
reduction in external Na+ was described recently
(Townsend et al., 1997 ). Both whole-cell and single-channel recordings
of cardiac (hH1) Na channels revealed that raising
[Na+]o inhibits the rate of slow
inactivation at depolarized membrane potentials, as if binding of the
alkali metal cation in the pore inhibits closure of the slow
inactivation gate. We thus examined the time course of
Cu(phe)3-catalyzed disulfide bond formation in oocytes
bathed in different extracellular Na+
concentrations. Figure
6A plots the time
course of current inhibition by Cu(phe)3 in representative
oocytes bathed in 48, 96, or 140 mM Na+
solutions. KC/WC current is inhibited slowly and completely within 10 min in 96 mM [Na+]o
(open circles). Raising
[Na+]o (open diamonds)
slowed this time course, whereas decreasing [Na+]o (open triangles)
accelerated the inhibitory effect of the Cu(phe)3. The time
courses were analyzed as described previously to determine the rate
constants of the redox reaction (Fig. 2) (Bénitah et al., 1997a ).
The rate constants of disulfide bond formation
(kSS) changed notably as a function of
the permeant ion concentration. Increasing
[Na+]o (and therefore ion occupancy
and relative conductance) slowed the kinetics of disulfide bond
formation (Table 1). Although it remains
possible that increasing Na+ occupancy in the pore
had a direct and unanticipated inhibitory effect on disulfide
formation, the decrease in kss with increasing ionic conductance is consistent with the inhibitory effect of [Na+]o on the rate of slow
inactivation (Fig. 6B) (Townsend and Horn, 1997 ).
Alteration in the rate of
[Na+]o-induced occupancy of slow
inactivated states is not unique to the KC/WC mutant. Entry into the
IM state of the wild-type channel is accelerated
in low [Na+]o (Fig.
6B), suggesting that the KC/WC double mutant does not dramatically alter the outer pore structure. Thus, the observations of
dependence on [Na+]o and on
depolarizing pulse duration may share a common basis in the fractional
occupancy of particular inactivated states (e.g., IM).

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Figure 6.
External Na+ concentration
modulates the rate of inactivation and disulfide bond formation.
A, Representative examples of the time course of the
inhibition of K1237C+W1531C by 100 mM Cu(phe)3
obtained from oocytes bathed in either ( ) 48 mM
[Na+]o, ( ) 96 mM
[Na+]o, or ( ) 140 mM [Na+]o. Sorbitol was
used as a substitute for Na+ to maintain constant
osmolarity. The currents were elicited by repetitive 50 msec pulses
from 100 to 35 mV (0.5 Hz). Plotted are the whole-cell Na current
amplitudes normalized to the value measured before the application of
Cu(phe)3 (100 µM). Summary data for
kss as a function of extracellular
[Na+]o are given in Table 1.
B, Rates of the development of inactivation of wild-type
µ1 channels coexpressed with the 1 subunit. The protocol is
identical to that shown in Figure 5 for the KC/WC mutant. Reducing the
[Na+]o enhances the rate of
development of slow inactivation. In 96 mM
[Na+]o ( ) there is little
development of intermediate inactivation (< 3%). In contrast, in 10 mM [Na+]o ( ) a 1 sec
prepulse inactivates 35% of the current.
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Table 1.
Effect of Na+ concentration on the rate of
disulfide bond catalysis by Cu (Phe)3 on the double-mutant
K1237C+W1531C (mean ± SD)
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Redox state modulates a slow-inactivated state transition
The experiments discussed above examine the influence of gating on
pore mobility. To examine the converse issue, the influence of mobility
on gating, we used another double-cysteine mutant, Y401C+E758C (YC/EC).
YC/EC spontaneously forms a functionally evident disulfide bond
(Bénitah et al., 1996 ) under oxidizing conditions, whereas a
reducing environment breaks the covalent bond, reestablishing free
motion in the outer pore. The unique characteristics of this
double-cysteine mutation allowed us to examine the effect of a
partially immobilized outer pore structure on the development of slow
inactivation. Figure 7 shows the time dependence of recovery from inactivation of YC/EC. Oocytes were held at
100 mV, and a conditioning pulse was applied for either 50 msec (Fig.
7A) or 1 sec (Fig. 7B). The conditioning pulse
was followed by recovery at 100 mV for intervals varying from 10 msec
to 1 sec, and the Na+ current was measured in
response to a subsequent 50 msec test depolarization. Cumulative
inactivation between experiments was excluded by using a long (30 sec)
recovery interval at 100 mV after each test pulse, and by confirming
that there was no variation in the Na current elicited by successive
conditioning pulses. Oocytes were sequentially bathed in normal
oxidized solution (left, solid symbols) and a reducing
environment (right, open symbols). Exposure to DTT increased
the magnitude of the Na current, presumably by breaking the disulfide
bond (Bénitah et al., 1996 ). In addition, after the longer
depolarizing prepulse (Fig. 7B), DTT significantly slowed
the rate of recovery from inactivation. Figure 7C plots the
fractional recovery of the peak Na+ current
amplitude against the recovery interval at 100 mV. As shown
previously for wild-type µ1 channels (Nuss et al., 1996 ), YC/EC
recovery from inactivation exhibited three readily separable kinetic
components. The recovery rates ( ) and the relative amplitudes of the
three components as a function of the external environment and the
conditioning pulse length are summarized in Table
2. After the brief conditioning pulses
(50 msec), <20% of the Na channels entered slow-inactivated states
(Table 2), and the redox environment had no significant effect on the
relative amplitudes or time constants of the three components of
recovery. However, with longer conditioning pulses (1 sec), >60% of
the channels entered slowly recovering inactivated states
(IM, IS).
Exposure to a reducing environment speeded recovery by decreasing the
amplitude of the intermediate component (Table 2). The time constant of recovery from this intermediate component of inactivation was also
increased (Table 2), although the extent to which this influenced the
overall recovery profile was small. These data suggest that a reducing
environment raised the energy barrier controlling entry to, and exit
from, a slow-inactivated state with intermediate kinetics similar to
that facilitating K1237C-W1531C disulfide bond formation (Figs. 3, 4).
Our findings are consistent with the notion that "freezing" the
outer pore with a disulfide bond facilitates both entry into and egress
from an inactivated state that possesses intermediate recovery kinetics
(IM).

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Figure 7.
Redox state modulates the rate of recovery from
inactivation for the double mutant Y401C+E758C. A, B, A
standard two-pulse protocol was used to compare recovery from
inactivation of Y401C+E758C channels in oxidized control solution
(left panels) and after addition of 1 mM DTT
(right panels) in the same oocyte. Oocytes were held at
100 mV. After a 50 msec (A) or 1 sec
(B) conditioning pulse to 35 mV (the peak of
the IV relationship), a pulse to 100 mV ranging from 1 msec to 1000 msec was followed by a 50 msec test depolarization. C,
Fractional recovery from inactivation as a function of time at 100 mV
is plotted for the double mutant Y401C+E758C in oxidized control
solution (solid symbols) and after paired addition of 1 mM DTT (open symbols). Data sets obtained
using either a 50 msec (squares) or a 1 sec
(circles) conditioning pulse are shown. A
three-exponential function of the form y = A1exp( t/ 1) + A2exp( t/ 2) + A3exp( t/ 3) was
fitted to the individual data sets (fitted parameters are in Table 2).
Fitted parameters to the mean data for a 50 msec prepulse (control vs
DTT) were 1 = 2.6 versus 2.4 msec, A1 = 0.84 versus 0.80; 2 = 40.0 versus 40.9 msec, A2 = 0.11 versus 0.12; 3 = 1565 versus 1315 msec,
A3 = 0.05 versus 0.08. For the 1 sec prepulse, fitted
parameters to the mean data (control vs DTT) were 1 = 2.6 versus 3.3 msec, A1 = 0.51 versus 0.62;
2 = 100.2 versus 49.8 msec, A2 = 0.23 versus
0.33; 3 = 2660 versus 3449 msec, A3 = 0.16 versus 0.15.
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DISCUSSION |
Previous site-directed mutagenesis studies (Balser et al., 1996 ;
Kambouris et al., 1998 ) suggest that slow kinetic components of
Na+ channel inactivation involve conformational
changes in the outer pore. W402C, a domain I P-segment substitution,
markedly enhanced recovery by reducing the likelihood that depolarized
µ1 channels would occupy slowly recovering inactivated states.
Notably, µ1 channels are capable of entering two inactivated states
with kinetics slower than the duration of the
INa transient; these include both intermediate
and slow kinetic components with recovery time constants at 100 mV on
the order of ~100 msec and 1 sec, respectively (Nuss et al., 1995 ,
1996 ). Similar to the W402 P-segment mutations (Kambouris et al.,
1998 ), the findings presented here suggest that disulfide formation in
the outer pore of the KC/WC mutant is primarily sensitive to the
inactivated state with intermediate kinetics
(IM). It is possible that the mutations
themselves alter channel conformation or movement in a way that is not
representative of the wild-type µ1 channel. We observed no change in
the gating of the W1531C component of the double mutant (Balser et al.,
1996 ). The K1237C component alters both permeation (Favre et al., 1996 )
and the development of ultra-slow inactivation (Todt et al., 1997 ) but not the rate of occupancy of IM (data not
shown). The biphasic dependence of the rate of disulfide formation
(kss) (Figs. 3, 4) on pulse duration
suggests that when either IF or
IS is occupied, the rate of disulfide formation
is slowed compared with that when IM is the
predominant inactivated state. One possible interpretation, illustrated
in Figure 8, is that the spatial
relationship between the 1237 and 1531 cysteines is optimized by
occupancy of the IM state. Consistent with this
hypothesis, the rate of disulfide formation decreases when the rate of
entry into slow-inactivated states is modified by elevating the
external [Na+] (Fig. 6, Table 2) (Townsend et al.,
1997 ). Admittedly, the sensitivity of particular slow inactivated
states (e.g., IM vs IS) to alkali metal cations has not been
characterized, and it remains possible that the inhibitory effect of
external Na+ on disulfide formation results from a
direct competition between the covalent reaction and
Na+ binding in the pore. However, the converse
experiment using a spontaneously forming disulfide (YC/EC) (Fig. 7)
showed that freezing the pore with a disulfide selectively facilitated
entry into, and recovery from, an inactivated state with intermediate
gating kinetics (Table 2). Hence, our results suggest that greater
flexibility decreases the occupancy of a particular inactivated state
with intermediate kinetics and furthermore that occupancy of this
inactivated state facilitates KC/WC disulfide formation. These findings
are consistent with the general notion of microscopic reversibility: inactivation gating influences motion in the outer pore, and vice versa.

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Figure 8.
Occupancy of an intermediate inactivated state
facilitates disulfide formation in the outer pore. The diagram
illustrates sequential occupancy of three distinct inactivated states
(IF,
IM, and
IS) as the length of the
depolarization is extended. Time constants for entry into
IM and IS are
based on the biexponential fit to the data in Figure 5, and the time
constant for development of fast inactivation
(IF) was estimated from the
literature (Nuss et al., 1995 ). The scheme suggests that when the
IM state is occupied, the 1237 and 1531 cysteines are spatially optimized in the outer pore for disulfide
formation.
|
|
These data have several implications for the structure of the Na
channel pore. In the recently published KcsA channel structure (Doyle
et al., 1998 ), the tryptophan in the selectivity region makes important
contacts with other aromatic residues facing away from the pore,
forming an aromatic cuff around the selectivity filter. The structural
data are consistent with the finding that some mutations at this
tryptophan [e.g., W434F (Perozo et al., 1993 )] eliminate ionic flux
by "locking" the K channel in an inactivated state (Yang et al.,
1997 ). This is distinct from the phenotype of the Na channel with
mutations of a comparable ring of tryptophans (Tomaselli et al., 1995 ;
Balser et al., 1996 ). The Na channel pore is not compromised by single
mutations of the tryptophans in any of the domains. In domains I, III,
and IV, mutagenesis data suggest that this side chain points into the
pore, consistent with the findings of Lü and Miller (1995) , who
found that single tryptophan to cysteine mutations in the K channel
pore were accessible to block by silver. In domain II the permeation
phenotype of the Na channel mutant (W756C) is identical to that of the
wild-type channel (Perez-Garcia et al., 1996 ). The tryptophans in the K channel are part of the pore helix on the amino terminal side of the
selectivity filter. By sequence alignment with the K channel, this ring
of tryptophans in the Na channel is predicted to be in the filter loop
on the C-terminal side of the filter residues. It appears that the pore
tryptophans do not have analogous roles in the Na and K channels.
The combination of paired cysteine mutagenesis and disulfide trapping
is a powerful technique for indirect structural study of the channel
pore and the role of motion of the external vestibule in channel
gating. Several limitations of the technique should be enumerated.
First, it is unclear whether the backbone or side chains of the
substituted residues are exhibiting flexibility and permitting
trapping. Structural models of the Na channel (Guy and Durell,
1995 ) and KcsA (Doyle et al., 1998 ) suggest that the residues
(or analogous residues in the K channel) are sufficiently separated
that simple side chain movement would not place the cysteinyls
close enough to form a disulfide. Second, it is possible that disulfide
trapping captures the channel in an infrequently occupied and
unphysiological state. However, the enhancement of the rate of
disulfide formation during occupancy of
IM, a state normally occupied by the
channel, argues against trapping in a completely unnatural
configuration. Finally, as noted previously, the mutations themselves
may alter the flexibility and movement in the vestibule.
These data support the concept that analogous to C-type inactivation
(Hoshi et al., 1991 ; Liu et al., 1996 ) in K channels, inactivation
involving structural rearrangement in the outer pore occurs in the Na
channel. It is possible that both intermediate inactivation
(IM) (Kambouris et al., 1998 ) and
ultraslow inactivation (IS) (Todt et al.,
1997 ) involve structural changes in the outer pore, but only occupancy
of IM influences the rate of disulfide bond
formation between paired cysteine mutants examined in this study.
Nonetheless, it is possible that other pairs of cysteine mutants will
be more likely to disulfide bond in the IS state to support this hypothesis.
 |
FOOTNOTES |
Received April 22, 1998; revised Nov. 19, 1998; accepted Dec. 11, 1998.
This research was supported by National Institutes of Health (P50
HL52307). Additional salary support was provided by the American Heart
Association, Maryland Affiliate (J.-P.B.), and R01 HL52768 (E.M.), R01
GM56307 (J.R.B.), and R01 HL50411 (G.F.T.).
Correspondence should be addressed to Dr. Gordon F. Tomaselli, Section
of Molecular and Cellular Cardiology, 844 Ross Building, Johns Hopkins
University, Baltimore, MD 21205.
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