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Biophys J, August 2002, p. 912-919, Vol. 83, No. 2
*Department of Medicine and
Department of Physiology,
Emory University, Atlanta, Georgia 30322 USA and the Atlanta Veterans
Administration Medical Center, Decatur, Georgia 30033 USA
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ABSTRACT |
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Saxitoxin (STX) selectively blocks the voltage-gated sodium channel at the outer vestibule lined by P-loops of the four domains. Neosaxitoxin has an additional -OH group at the N1 position of the 1,2,3 guanidinium (N1-OH) that interacts with domains I and IV of the Na+ channel. Determination of a second toxin interaction with the channel would fix the location of STX. Gonyautoxin 2,3 and Gonyautoxin 1,4 are C-11 sulfated derivatives of saxitoxin and neosaxitoxin, respectively. We used these variants to constrain the STX docking orientation by energetically localizing the C-11 sulfate in the outer vestibule. Interactions between the C-11 sulfate and each of the four domains of the channel were determined by a systematic approach to mutant cycle analysis in which all known carboxyl groups important for site 1 toxin binding were neutralized, allowing energetic triangulation of the toxin sulfate and overcoming some limitations of mutant cycles. Toxin IC50s were measured by two-electrode voltage clamp from Xenopus oocytes injected with the channel mRNA. Three unique types of analysis based on the coupling results localized the C-11 sulfate between domains III and IV. Combined with our previous report, the data establish the orientation of STX in the outer vestibule and confirm the clockwise arrangement of the channel domains.
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INTRODUCTION |
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The voltage-gated Na+ channel is
critical for depolarization and conduction in most excitable cells. The
channel is the target of many antiarrhythmic, anticonvulsant, and local
anesthetic drugs. A basic property of the channel is its formation of a
central pore by circumferential organization of four homologous
domains, each with six transmembrane segments. The extracellular loops between the fifth and sixth transmembrane segments of each domain are
called the pore-forming (P) loops. They fold back into the membrane to
form the outer lining of the pore and the selectivity filter (Terlau et
al., 1991
; Favre et al., 1996
; Sun et al., 1997
).
Site 1 toxins block the channel by binding to the P-loops. Recently, we
have proposed that the four domains are arranged in a clockwise
configuration around the central axis of ion permeation site (Dudley et
al., 2000
; Li et al., 2001
), based upon a pattern of P-loop
interactions with site 1 toxin, µ-conotoxin GIIIA. The asymmetrical
marine neurotoxin, saxitoxin (STX), is a specific, high affinity ligand
that binds in the same site (Fig. 1).
Because of these properties, STX has played a critical role in the
investigation of the Na+ channel. The toxin has been useful
in counting, localizing, purifying, and electrophysiologically studying
the channel. Understanding toxin pharmacology is important because STX
ingestion causes paralytic shellfish poisoning, a substantial public
health threat. The mechanism by which this toxin binds the channel has
been debated (Green and Andersen, 1986
). Determining this could reveal
interesting biochemical characteristics of a high affinity site, and
because of the rigid, known structure of the toxin, elucidation of
toxin/channel interactions would set structural constraints on the
outer vestibule. Recently, based upon the known shape of the toxin and
experimentally determined interactions between the channel and a STX
derivative, neosaxitoxin (neoSTX), we proposed a model explaining the
known interactions and suggesting a mechanism of block (Penzotti et al., 2001
). Independent determination of additional STX/channel interactions would help validate this model and have implications for
channel architecture.
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Gonyautoxins are another group of STX analogs that possess sulfate groups. Gonyautoxin 2,3 (GTX2,3) and Gonyautoxin 1,4 (GTX1,4) are epimeric mixtures of C-11 sulfated derivatives of saxitoxin and neosaxitoxin, respectively. In this study, we attempt to localize the sulfate by evaluating its interactions with all carboxyl groups from each of the four domains known to affect site 1 toxin binding. Interaction energies were determined by mutant cycle analysis. This approach, which we call energetic localization, should provide a relatively unbiased assessment of the orientation of C-11 sulfate with respect to the domain carboxyls and minimize any errors associated with mutant cycle analysis.
Mutant cycle analysis consists of comparing the interdependence of
effects on affinity of mutations on the channel and on the toxin. The
method allows for calculating the free energy of interaction between
the two groups. The magnitude of this energy varies with the distance
between the residues (Schreiber and Fersht, 1995
). Because mutations of
only carboxyls were used, implying a similar type of interaction, the
interaction energy was used to estimate the spatial position of the
C-11 sulfate with respect to each of the four channel domains.
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MATERIALS AND METHODS |
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Preparation and expression of Nav1.4 channel
Most methods have been described previously in detail (Sunami et
al., 1997
; Penzotti et al., 2001
). A brief description is provided. The
Nav1.4 cDNA flanked by the Xenopus globulin 5'
and 3' untranslated regions (provided by J. R. Moorman, University of Virginia, Charlottesville, VA) was subcloned into either the Bluescript SK vector or pAlter vector (Promega, Madison, WI). These
vectors have been used extensively for oocytes expression of
Na+ channels. Oligonucleotide-directed point mutations were
introduced into the adult rat skeletal muscle Na+ channel
(rNav1.4 or SCN4a) by one of the following methods:
mutation D400A by the Unique Site Elimination Mutagenesis Kit
(Pharmacia Biotech, Piscataway, NJ), following the manufacturer's
instructions; mutations E403Q, E758Q, D762N, E765Q, D1241A, and D1532N
by four primer polymerase chain reaction (Higuchi, 1990
).
Oligonucleotides were designed with silent restriction site changes for
rapid identification of mutants. DNA sequencing of the entire
polymerized regions insured that only the intended mutations were
present. The vectors were linearized and transcribed with a
DNA-dependent RNA polymerase. Stage V and VI Xenopus oocytes
from female frogs (NASCO, Ft. Atkinson, WI or Xenopus 1, Ann Arbor, MI)
were injected with ~50 to 100 ng of cRNA. Oocytes were incubated at
16°C for 12 to 72 h prior to examination.
Electrophysiology
Recordings were made in the two-electrode voltage clamp
configuration using Dagan CA-1B oocyte clamp (Dagan Corp., Minneapolis, MN). Data were collected using Axograph 4.4 software (Axon Instruments, Foster City, CA). All recordings were obtained at room temperature (20-22°C). The oocytes were placed in the center of a bath chamber designed to promote laminar flow, and the bath flow was typically 500 µL/min. All determinations of blocking efficacy of STX, neoSTX, GTX2,3, and GTX1,4 for channel mutants were performed over the same
time period and with oocytes injected simultaneously. The neoSTX
affinity determinations for Nav1.4, D400A, and D1532N were previously reported by Penzotti et al. (2001)
. Affinity measurements for wild-type channels were reproducible over the experimental period.
A static bath was used to record D1532N affinity measurements because
of high doses of Gonyautoxin required to calculate IC50 (Stephan et al., 1994
). The bath chamber was filled with 300 µL of
bath solution, and after achieving a baseline current, toxin was added
to the solution to achieve a known final toxin concentration in the
bath. The affinity measurements by this method were comparable with the
flowing bath measurements for other channel mutants, validating the method.
The standard bath solution consisted of: 90 mM NaCl, 2.5 mM KCl, 1 mM
CaCl2, 1 mM MgCl2, and 5 mM HEPES titrated to
pH 7.2 with 1 N NaOH. STX was obtained from Sigma (St. Louis, MO), or the Marine Analytical Chemistry Standards Program of the Institute of
Marine Biosciences, National Research Council of Canada (NRC, Halifax,
Nova Scotia, Canada) and neoSTX, GTX2,3 (4.1:1 mixture of GTX2 and
GTX3) and GTX1,4 (2.3:1 mixture of GTX1 and GTX4) from the NRC. STX
from the various sources showed equivalent activity. Stocks were stored
at
20°C and showed no degradation over the course of these experiments.
The effect of toxin addition was monitored by recording the peak
current elicited every 20 s upon step pulses to 0 mV of 70-ms duration from a holding potential of
100 mV (Fig.
2). This protocol allowed the observation
of toxin blocking and unblocking, insured equilibrium was reached, and
avoided the development of use-dependent toxin block. There was no
accumulation of inactivated channels with this stimulus rate for the
wild-type or mutant channels studied. The IC50 for toxin
binding was calculated from the ratio of peak currents in the absence
and presence of toxin based on a single site Langmuir adsorption
isotherm.
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Mutant cycle analysis
We defined 
G as the difference of the
G values for GTX1,4 and neoSTX, (
G = (
Gwild type, GTX
Gwild type, NeoSTX)
(
Gmutant, GTX
Gmutant, NeoSTX)), where the first subscript
position refers to the channel. The standard error of

G was reported as the square root of the sum of the
variances of the RTln (IC50) averages divided by
the square root of the sum of the total number of observations minus
four (Bevington, 1969
). Note that 
G may be positive or
negative, each representing a coupling interaction. The negative values
represent less binding energy between the mutant pair as compared with
the native residue pair. A positive 
G indicates that
the introduced pair has more binding energy after mutation relative to
the native pair. This may occur as a result of relief of repulsion or
by addition of attraction.
Data are presented as means ± SE. The number of observations (n) was greater than or equal to 3 for all reported data. Statistical comparisons were performed using two-tailed Student's t-tests assuming unequal variances (Excel 2000, Microsoft Corp., Redmond, WA).
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RESULTS |
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The experimental design was to establish the affinity of the
sulfated toxins for Nav1.4 and then to localize the C-11
sulfate within the channel's outer vestibule. Neutralization of all
outer vestibule carboxyls known to affect site 1 toxins was undertaken to try to give a uniform and unbiased sampling of the energetic environment surrounding the C-11 sulfate group. All mutations introduced have been characterized, used in previously published work
(Chahine et al., 1998
; Li et al., 2001
; Dudley et al., 1995
, 2000
;
Sunami et al., 1997
; Penzotti et al., 1998
, 2001
), and have been shown
to have little effect on macroscopic gating parameters and
Na+ selectivity. IC50 values were obtained from
all the carboxyl residues in the outer ring of the vestibule except
E403, because this mutation abolished binding completely (Terlau et
al., 1991
).
Gonyautoxins block the wild-type channel
Gonyautoxins blocked the rNav1.4 channels with the half blocking concentrations for GTX2,3 and GTX1,4 for rNav1.4 of 13.2 ± 1.0 nM and 1.0 ± 0.1 nM, respectively (Fig. 3). Both sulfated toxins were approximately three-fold less potent than their nonsulfated counterparts, STX (4.1 ± 0.1 nM) and neoSTX (0.4 ± 0.1 nM). Also, GTX1,4 had 13-fold greater affinity compared with GTX2,3, a trend similar to that of neoSTX and STX for Nav1.4. The presence of N1-OH conferred better binding with or without C-11 sulfate. To further evaluate the affects of channel residue mutations on the binding, the neoSTX/GTX1,4 pair was chosen because these toxins had higher affinity.
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Channel mutations had variable effects on toxin binding
All carboxyl groups known to be involved with site 1 toxin binding
were tested for their effect on neoSTX and GTX1,4 binding (Table
1). The mutations introduced have been
used and characterized in the past by several authors (Chahine et al.,
1998
). Here and elsewhere, they showed no substantial change in
macroscopic gating or Erev (Li et al., 2001
;
Dudley et al., 1995
, 2000
; Sunami et al., 1997
; Penzotti et al., 1998
,
2001
), implying no large structural changes. All mutations reduced
affinity for neoSTX and GTX1,4 compared with the wild-type channel. The
reduction in GTX1,4 affinity ranged from threefold for E765Q to
16,000-fold for E755A. Compared with Nav1.4, mutations of
domain I residue D400A significantly decreased affinity of GTX1,4 by
30-fold (p < 0.05), and domain I residue E403Q
appeared to abolish binding completely. Domain II mutations D762N and
E765Q had similar binding affinity for GTX1,4 (p = not
significant), whereas domain II E755A and E758Q impaired binding
affinity of GTX1,4 by 16,000-fold and 2400-fold, respectively. A
statistically significant affinity decrease was noted with domain III
mutation D1241A (p < 0.01), and domain IV mutation
D1532N led to a substantial decrease in binding with GTX1,4
(p < 0.01). Even with the significantly reduced
IC50, the concentration-dependent inhibition of the D1532N
mutant by GTX1,4 was well described by a single-site Langmuir
isotherm (Fig. 2 C). Allowing the Hill coefficient to
vary resulted in a regression coefficient of 0.96 with a Hill
coefficient of 0.9 ± 0.1. Although not excluding the possibility
entirely, a Hill coefficient close to 1.0 suggested that any
rearrangements of neoSTX in its binding site as the result of the
relief of constraints associated with D1532/toxin interactions were
likely to be minimal.
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The trends for neoSTX were similar to those of GTX1,4, but there were
quantitative differences. As expected for a positively charged toxin,
no neutralization of a carboxyl group improved affinity. In decreasing
order, residues D1532N, E755A, E758Q, D400A, D1241A, D762N, and E765Q
were determinants of affinity. Compared with Nav1.4,
reduced affinity for neoSTX resulted from mutations of domain II
residues, E755A and E758Q (p < 0.01), and of domain
III residue D1241A (p < 0.01). Domain II mutations, D762N and E765Q, caused no significant change in binding affinity for
NeoSTX (p = NS), however. As previously reported, D400A
(p < 0.01) and D1532N (p < 0.01) had
lesser affinities compared with Nav1.4 (Penzotti et al.,
2001
).
Gonyautoxin/channel interactions
The effect of single mutations on GTX1,4 and neoSTX binding suggested that domain I residue D400A, domain II residues E755A and E758Q, and domain IV residue D1532N were important for overall toxin binding, and all the channel mutations decreased binding with GTX1,4 compared with neoSTX except D1532N and D1241A. They improved GTX1,4 binding by 10-fold and 1.5-fold, respectively. To isolate the interactions of the C-11 sulfate with the mutated residues, we performed double mutant cycle analysis (Fig. 4).
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Mutant cycle analysis showed a domain-specific pattern of interactions
progressing from domains I to IV. The domain I residue had minimal
interactions with the C-11 sulfate (D400, 0.3 ± 0.1 kcal/mol).
Moreover, the domain II residues E755, D762, and E765 had limited
interaction with the C-11 sulfate (E755, 0.3 ± 0.2 kcal/mol;
D762,
0.0 ± 0.2 kcal/mol; and E765,
0.3 ± 0.2 kcal/mol). E758 of domain II had substantial interaction with the C-11
sulfate (E758, 0.7 ± 0.1 kcal/mol). D1241A in domain III showed a
strong coupling with the C-11 sulfate (
G = 1.0 ± 0.1 kcal/mol), and domain IV residue D1532 showed the largest
coupling (
G = 2.0 ± 0.1 kcal/mol).
Additionally, interactions were strongest with the more superficial
carboxyls and progressively decreased with residues farther away from
the ion permeation pathway (e.g., E765Q) or deeper into the pore (e.g.,
E755A) (Terlau et al., 1991
). These results suggest that the C-11
sulfate group is located between domains III and IV at the superficial
level in the outer vestibule.
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Discussion |
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The purpose of the experiments was to energetically localize the
C-11 group in relation to the domains of the outer vestibule of the
sodium channel, further defining STX orientation within the outer
vestibule and testing a previous proposal about toxin/channel interactions (Penzotti et al., 2001
). The C-11 coupling with mutations of all outer vestibule carboxyls known to be important for site 1 toxin
binding was evaluated. Carboxyl residues were chosen because of their
important role in site 1 toxin binding. Moreover, carboxyl-sulfate interactions are likely to be of similar character making inferences of
distance from energetic interactions more reliable. Carboxyls in all
domains were evaluated to form a relatively unbiased sampling of those
residues likely to contribute to the electrostatic field around C-11
group. Energetic localization has the additional benefit of minimizing
any interpretive difficulties arising from any structural changes of
channel mutants unaccounted by mutant cycles.
Gonyautoxin block
In this study, the binding affinity of GTX2,3 and GTX1,4 with the
Nav1.4 channel was determined for the first time, and as expected the toxins blocked current in a similar manner to previous experiments in other Na+ channels. In these studies,
racemic mixtures of the toxins GTX2,3 and GTX1,4 were used. Previously,
Kao and his colleagues reported the relative affinities of GTX2 and
GTX3 compared with STX on giant squid axons (Kao et al., 1985
).
Assuming that they started with pure epimers, our results for
Nav1.4 affinities are consistent with theirs after
correcting for an epimeric mixture. There is a discrepancy between our
data and the relative potency for GTX1,4 as compared with neoSTX when
calculated from data by Strichartz et al. (1986)
, however. In their
data and using STX as a standard, the relative IC50 for
neoSTX and GTX1,4 were 0.2 and 1.7 compared with our observations of
0.1 and 0.25, respectively. The GTX1,4 relative affinity difference may
depend on the channel isoform, preparation, assay methods, and toxin
purity. Any uncertainties introduced by the use of an epimeric mixture
were not evaluated because of pure epimer availability and stability in solution.
The gonyautoxins bound less well to the Nav1.4 channel compared with their nonsulfated counterparts. This reduction in affinity is consistent with some repulsive interaction between the sulfate group and negatively charged amino acids forming the outer vestibule. Addition of a sulfate subtracts one positive charge from the toxin net charge and may alter the distribution of charge on the molecule. These changes might affect toxin binding or its voltage sensitivity. To explore the possibility of a change in partial charge distribution by addition of sulfate, we used computer simulation and partial charge calculations (Hyperchem, Hypercube, Inc., Gainesville, FL). Upon addition of the sulfate, the only change noted was in the N3 atom, where the partial charge changed less than 1%. This suggests that the sulfate group has only a minor effect on charge distribution of the 1,2,3 guanidinium group. Also, it seems unlikely that our measurements were affected significantly by a change in the voltage-dependence of binding. First, current was measured at 0 mV to help minimize any field effect. Second, the sulfate appears to bind superficially where the field drop should be small.
The effects of single mutations alone on toxin binding were insufficient to indicate important interactions between channel residues and the toxin C-11 sulfate. Mutations of domain I residue D400A, domain II residues E755A and E758Q, and domain IV residue D1532N had substantial effect on GTX1,4 binding. Nevertheless, when mutant cycle analysis was performed to isolate the interaction of the C-11 group with the channel residues, progressive coupling interactions of the C-11 sulfate with domain II E758Q, domain III D1241, and domain IV D1532 were identified. The reduced overall toxin binding observed with the mutations E755A and D400A were common to both neoSTX/GTX1,4, suggesting that although they are important for toxin binding, they do not interact with C-11. These results highlight the important role of mutant cycle analysis in evaluation of channel/ligand interactions.
Our results support coupling of the sulfate to several carboxyls,
notably D1532, but the nature of these couplings is less clear. The
sign of the 
Gs was positive consistent with the
removal of an unfavorable interaction between these carboxyls and the C-11 sulfate. The sulfate interactions are likely more complicated, however. For example, there was a 2.5-fold increase in the
IC50 value for toxin binding with native channel by
addition of C-11 sulfate. In the presence of D1532N, this effect
changed to a 10-fold decrease in IC50. Alternatively
stated, the relative effect of mutating D1532 on binding of neoSTX
(0.4-35600 nM) was greater than that on GTX1,4 binding (1.0-3580 nM).
Although not eliminating the possibility of a D1532/sulfate repulsion,
the improvement in binding to D1532N by adding the sulfate would be
explained most easily by a new attractive force between Asn and the
sulfate. This idea is consistent with the relative effects of
introducing Asn in the 1532 site on neoSTX and GTX1,4. Nevertheless,
the result would suggest that D1532 and the sulfate are near each
other, and generation of new attractive forces is interpreted usually as suggesting specificity of the result (Chang et al., 1998
).
Energetic localization of C11 sulfate
We used mutant cycle analysis to energetically localize the C-11 group in the outer vestibule. The coupling data revealed that the maximum amount of interaction energy was with domain IV, localizing the C-11 group nearest this domain. Also, the interactions were maximal with the superficial carboxyl groups in the outer vestibule.
To confirm this interpretation based upon the highest energies of
interaction, we analyzed the data by two independent methods, vector
and likelihood analyses (Dudley et al., 2000
). First, using the data of
the N1-OH group's interactions from Penzotti et al. (2001)
in addition
to the data of C-11 sulfate interactions with all four domains, maximum
likelihood analysis was performed. The only assumption made was that
the domains were arranged in a circumferentially sequential manner. The
sums of 
Gs for each of the combinations of
domain-toxin interactions were made and the variances calculated. The
likelihood of a particular orientation was taken as proportional to the
sum of 
Gs. The maximum likelihood was found to be with the C-11 sulfate pointing towards domain IV and the N1-OH pointing towards domain I when the domains were oriented in a clockwise manner
as viewed from the extracellular surface. Second, all the significant
interactions of the C-11 sulfate group were plotted as energy vectors
pointing toward their respective domains, arranged in a clockwise
circumferentially sequential manner as suggested by the likelihood
analysis (Fig. 5). The resultant vector
pointed in the direction between domain III and IV, closer to domain
IV. Both of these analyses supported the intuitive conclusion of the C-11 sulfate location in the outer vestibule.
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Although suggesting that the sulfate is closer to D1241, the
interaction energies of the C-11 group are not significantly different
for the E758 and D1241 mutations. Given the size of the vestibule, it
seems possible that the sulfate could interact with multiple residues.
Experimental variability in IC50 determination, inhomogeneity of the dialectric, and variable relative depth of the
P-loops (Chiamvimonvat et al., 1996
) might account for the lack of
statistical difference. The subsequent analyses integrate the total
data set, and all analyses support the conclusion that the sulfate is
closest to domain IV. The lack of coupling between D762 and E765 is
consistent with previous experiments, suggesting that these residues
lie further away from and, in the case of E765, deeper in the
permeation path (Li et al., 2000
).
The sum of interaction energies between the C-11 sulfate and D1241 and D1532 is more than the change in binding energy from neoSTX to GTX1,4 with the native channel. This discrepancy is most likely the result of interactions not identified between the C-11 group and the channel and should not affect significantly our conclusions about the location of the C-11 group.
Structural implications for the outer vestibule
These results allow determination of the binding orientation of
STX with respect to the channel. We showed that the C-11 group on the
toxin was located closest to domain IV (Fig.
6). Penzotti et al. (2000)
showed that
the N1-OH group lay closest to domain I residues near the selectivity
filter (Penzotti et al., 2001
). Previously published studies revealed
that the 7,8,9 guanidinium group points towards the selectivity filter
(Penzotti et al., 1998
). These three interactions fix the orientation
of STX with respect to the channel pore and support our previous
docking proposal (Penzotti et al., 2001
).
|
This docking orientation has implications for the channel outer
vestibule structure. First, the docking model is consistent with
distance measurements made by Bénitah et al. (1996)
. They reported the distance between domain IV and domain I to be <10 Å using paired cysteine mutagenesis studies and evaluating the likelihood
of disulfide bond formation between paired residues (Bénitah et
al., 1996
). The measured distance between the oxygen atom at N1-OH and
sulfur at C-11 group of GTX1,4 is ~7 to 8 Å, consistent with the
domain separation predicted. Second, the orientation of STX with
respect to the domains provides an independent line of evidence using a
second toxin in support of the clockwise arrangement of the domains as
viewed from the outer surface. Recently, by determining points of
interaction between the channel and µ-conotoxin GIIIA using mutant
cycle analysis, Dudley et al. (2000)
and Li et al. (2001)
proposed that
the four domains forming the outer vestibule are arranged in a
clockwise manner (Dudley et al., 2000
; Li et al., 2001
). For the C-11
sulfate to be located near domain IV, N1-OH to be directed toward
domain I, and the 7,8,9 guanidinium group to be oriented towards the
selectivity filter the domains must be arranged in a clockwise manner.
This conclusion was supported by our likelihood analysis of all
clockwise and counter-clockwise sequential domain arrangements.
In this study, we show that the Gonyautoxins block the Nav1.4, and we localize the C-11 group in the outer vestibule. These results establish the orientation of STX with respect to the channel and set constraints on the structure of the outer vestibule, an area of the channel involved in gating, selectivity, and drug recognition. The results are consistent with a previous model of STX docking and with the putative clockwise arrangement of the domains (Fig. 7). Future studies with other toxin analogs will improve our understanding of toxin/channel interactions and likely further constrain the outer vestibule model.
|
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ACKNOWLEDGMENTS |
|---|
We thank Dr. Gregory Lipkind and Dr. Harry Fozzard for providing us the outer vestibule model and for constructive comments on the discussion. Also, we thank Dr. Jennifer L. Penzotti for sharing some of the affinity measurements for the native channel. Dr. Dudley is supported by a Scientist Development Award from the national American Heart Association, a Grant-In-Aid from Southeast Affiliate of American Heart Association, a Procter and Gamble University Research Exploratory Award, and a National Institutes of Health Award (HL64828).
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FOOTNOTES |
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Address reprint requests to Dr. Samuel C. Dudley, Jr., Assistant Professor of Medicine and Physiology, Division of Cardiology, Emory University/VAMC, 1670 Clairmont Road (111B), Decatur, GA 30033. Tel.: 404-329-4626; Fax: 404-329-2211; E-mail: sdudley{at}emory.edu.
Submitted November 22, 2001, and accepted for publication April 2, 2002.
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REFERENCES |
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Biophys J, August 2002, p. 912-919, Vol. 83, No. 2
© 2002 by the Biophysical Society 0006-3495/02/08/912/08 $2.00
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