Published 3 February 2003. doi:10.1085/jgp.20028667
© Rockefeller University Press, 0022-1295/2003/2/125/ $5.00
Journal of General Physiology, Volume 121, Number 2, February 2003 125-148
Inactivation of BK Channels by the NH2 Terminus of the ß2 Auxiliary Subunit
An Essential Role of a Terminal Peptide Segment of Three Hydrophobic Residues
Xiao-Ming Xia1,
J.P. Ding1 and
Christopher J. Lingle1,2
1 Department of Anesthesiology, Washington University School of Medicine, St. Louis, MO 63110
2 Department of Anatomy and Neurobiology, Washington University School of Medicine, St. Louis, MO 63110
Address correspondence to C. Lingle, Department of Anesthesiology, Washington University School of Medicine, 600 S. Euclid Ave., Box 8054, St. Louis, MO 63110. Fax: (314) 362-8571; E-mail: clingle{at}morpheus.wustl.edu
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ABSTRACT
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An auxiliary ß2 subunit, when coexpressed with Slo
subunits, produces inactivation of the resulting large-conductance, Ca2+ and voltage-dependent K+ (BK-type) channels. Inactivation is mediated by the cytosolic NH2 terminus of the ß2 subunit. To understand the structural requirements for inactivation, we have done a mutational analysis of the role of the NH2 terminus in the inactivation process. The ß2 NH2 terminus contains 46 residues thought to be cytosolic to the first transmembrane segment (TM1). Here, we address two issues. First, we define the key segment of residues that mediates inactivation. Second, we examine the role of the linker between the inactivation segment and TM1. The results show that the critical determinant for inactivation is an initial segment of three amino acids (residues 24: FIW) after the initiation methionine. Deletions that scan positions from residue 5 through residue 36 alter inactivation, but do not abolish it. In contrast, deletion of FIW or combinations of point mutations within the FIW triplet abolish inactivation. Mutational analysis of the three initial residues argues that inactivation does not result from a well-defined structure formed by this epitope. Inactivation may be better explained by linear entry of the NH2-terminal peptide segment into the permeation pathway with residue hydrophobicity and size influencing the onset and recovery from inactivation. Examination of the ability of artificial, polymeric linkers to support inactivation suggests that a variety of amino acid sequences can serve as adequate linkers as long as they contain a minimum of 12 residues between the first transmembrane segment and the FIW triplet. Thus, neither a specific distribution of charge on the linker nor a specific structure in the linker is required to support the inactivation process.
Key Words: inactivation mechanisms inactivation domains K+ channels BK channels Ca2+- and voltage-gated K+ channels
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INTRODUCTION
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Rapid inactivation of Ca2+ and voltage-gated BK-type K+ channels arises from coexpression of the slo1 poreforming
subunits with particular auxiliary ß subunits (Wallner et al., 1999
; Xia et al., 1999
, 2000
; Uebele et al., 2000
; Lingle et al., 2001
). Of the four members of the BK ß subunit family, inactivation arises from the short cytosolic NH2 terminus of either the ß2 subunit (Wallner et al., 1999
; Xia et al., 1999
) or of particular splice variants of the ß3 subunit (Uebele et al., 2000
; Xia et al., 2000
; Lingle et al., 2001
). Since slo1
and ß subunits assemble in a 1:1 stoichiometry (Knaus et al., 1994b
; Wang et al., 2002
), up to four inactivation-competent NH2 termini can be present in any inactivating BK channel (Wang et al., 2002
). Similar to inactivation of voltage-dependent K+ (Kv) channels mediated by NH2-terminal domains of
subunits (MacKinnon et al., 1993
; Gomez-Lagunas and Armstrong, 1995
), inactivation arises from the independent action of each NH2 terminus (Xia et al., 1999
; Wang et al., 2002
). Thus, at least superficially similar elements would appear to contribute both to inactivation of Kv channels and BK channels.
Of the kinetic behaviors exhibited by voltage-gated ion channels, the phenomenon of rapid inactivation of Kv channels has perhaps been most amenable to a correlation of the structural elements of the channel with an actual mechanism of gating. For Kv channels, to produce inactivation, the cytosolic NH2 terminus, either of the pore-forming
subunits (Hoshi et al., 1990
; Ruppersberg et al., 1991
) or of cytosolic auxiliary ß subunits (Rettig et al., 1994
), appears to move into a position that closely abuts the mouth of the ion permeation pathway. The close association of the Kv blocking domain and the ion permeation pathway is supported by the fact that cytosolic channel blockers compete with the blocking domain for occupancy of the channel (Choi et al., 1991
; Demo and Yellen, 1991
). Furthermore, once the inactivation domain occupies its blocking position, it impedes closure of the channels (Demo and Yellen, 1991
; Ruppersberg et al., 1991
). Yet, until recently the nature of the interaction between any inactivation domain and its target site has remained elusive. Now, an important advance has been the demonstration that the initial first four residues of the NH2 terminus of an inactivating Kvß auxiliary subunit interact with specific residues in the pore-forming S6 segment of the Kv 1.4
subunit (Zhou et al., 2001
). Thus, the initial residues of an inactivating NH2 terminus appear to snake their way into the permeation pathway to occlude ion flux.
To what extent this molecular picture of Kv inactivation may apply to BK channels remains unclear. Several functional properties of BK inactivation clearly differ from Kv inactivation. For example, BK channel inactivation is not slowed by cytosolic blockers that bind to the mouth of the BK channel pore (Lingle et al., 1996
; Solaro et al., 1997
; Xia et al., 1999
). Furthermore, unlike Kv inactivation (Demo and Yellen, 1991
; Ruppersberg et al., 1991
), BK channels do not reopen during recovery from inactivation, suggesting that when the inactivation domain resides in its blocking position, BK channels are not prevented from undergoing a normal open to closed conformational change (Solaro et al., 1997
). These properties of BK channel inactivation seem more reminiscent of Na+ channel inactivation, in which occupancy by blockers of sites within the pore do not interfere with the inactivation mechanism (O'Leary and Horn, 1994
; Kuo and Liao, 2000
). However, BK channel inactivation shares with both ShakerB K+ channels (Gomez-Lagunas and Armstrong, 1994
) and voltage-dependent Na+ channels (Kuo and Liao, 2000
) a dependency on the concentration of extracellular permeant ions (Solaro et al., 1997
). Thus, both similarities and differences exist between the rapid inactivation properties of BK channels and Kv channels and the extent to which the underlying molecular mechanism is similar is yet unresolved.
An additional challenge to our current understanding of rapid inactivation, both for Kv channels and BK channels, is that inactivation may involve kinetic complexity not previously accounted for by the simple, one-step open channel block model generally used to describe inactivation. Specifically, inactivation of BK channels mediated by the ß3b subunit involves two kinetic steps (Lingle et al., 2001
) and a similar model has also been proposed for inactivation of Kv channels by NH2-terminal inactivation domains (Zhou et al., 2001
). For Kv channels, it was proposed that perhaps an initial movement of the inactivation structure (first step) then permits the hydrophobic blocking domain to enter the channel (second step) (Zhou et al., 2001
). As part of this conceptualization, the first kinetic step was proposed to depend on the interaction of charged NH2-terminal residues with charged residues lining the entryway to the channel, thereby appropriately positioning the hydrophobic segment for blockade. However, as yet there are no specific experimental results that support the idea that inactivation of Kv channels occurs with two distinct kinetic steps or to associate charge on the NH2 terminus with a particular kinetic step. Similarly, the physical basis of each of the two kinetic steps involved in BK channel inactivation remains unknown (Lingle et al., 2001
).
As part of our efforts to understand BK channel inactivation and to resolve the functional and structural differences between inactivation of Kv channels and BK channels, here we have undertaken a mutational analysis of inactivation of BK channels mediated by the ß2 auxiliary subunit. The NH2 terminus of the ß2 subunit of the BK channel family contains 46 amino acids that are considered to be cytosolic to the first transmembrane (TM)* segment (Wallner et al., 1999
; Xia et al., 1999
). For comparison, the noninactivating ß1 subunit (Knaus et al., 1994a
) contains 15 cytosolic residues many of which are homologous to their counterparts (residues 3145) in the ß2 subunit.
We address two different aspects of the role of the ß2 NH2 terminus. First, we define the key segment of residues involved in producing inactivation. Second, we address the role of the linker between the key inactivation epitope and the first transmembrane segment (TM1) of the ß2 subunit. Our results clearly establish that residues 24 (FIW) of the NH2 terminus are the critical inactivation epitope in the ß2 subunit. This critical inactivation segment appears to be both necessary and sufficient to produce inactivation. Our results also show that deletions involving residues from positions 4 through 36 are of minimal impact on the ability of the ß2 subunit to inactivate. Additional examination of the properties of the linker between the FIW epitope and TM1 shows that neither charge nor maintenance of any particular structural integrity conferred by residues from positions 5 through 41 is required to permit inactivation to occur. Thus, inactivation mediated by the ß2 subunit simply requires a set of three hydrophobic residues linked to TM1 by a spacer of rather nonspecific requirements.
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MATERIALS AND METHODS
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Site-directed Mutagenesis
The pfu DNA polymerase was used in all PCRs to generate hß2 mutations and all constructs were verified by sequencing (Stratagene). In general, strategies followed standard procedures in use in this laboratory (Xia et al., 1998b
, 1999
). Here we explicitly describe procedures for generation of five categories of mutation employed in this paper: first, constructs with deletions in the NH2 terminus; second, constructs with mutations of residues within or near the initial four residues of the NH2 terminus; third, constructs with glutamine insertions; fourth, point mutations of charged residues; and fifth, constructs with artificial NH2 termini.
Deletion Constructs
ß2 NH2-terminal deletion constructs were generated by pfu PCR with two specific ß2 primers. For example, to generate
24 (
FIW), a PCR was performed with pfu polymerase (primers 5'- ATCAGAATTCTCTAAGATGAGTGGCCGGACCTCTTCATC-3' and 5'-TACTAGTCGACAAAAATTATTTTATCCATTTTTG-3'). The product was then digested with EcoRI and SalI, and then ligated into EcoRI-SalI vector pBF. The deletion was verified by sequencing. Other deletions were obtained in a similar fashion.
Mutations of Residues within the Initial Four Residues
For mutations within the initial FIW region, a pair of complementary primers was used to generate each mutation. The primers contained the designated changes of codons (e.g., F to G, I to G, W to G). The PCR was performed on wild-type hß2 template (96°C for 2 min; 1720 cycles of 96°C for 30 s, 50°C for 45 s, 68°C for 10 min; 96°C for 2 min). The reaction product was digested with DpnI for 23 h at 37°C, and then transformed to E. coli strain DH5
(Xia et al., 1998a
). Mutants were identified by DNA miniprep and subsequently sequenced.
Insertion of a Glutamine Chain
Insertion of a chain of glutamine residues (poly-Q) was generated by linking two PCR fragments and subcloning into the oocyte expression vector pBF (Xia et al., 1998a
). As an example, to generate the insertion of a 14 amino acid insert at position 46 (INS@46), two PCRs, A and B, were performed each with specific primers (A, 5'-ATCAGAATTCAGACCCTGGACCAACATTCTCTAAG-3' + 5'-CGGGATCCCTGCTGCTGCTGCTGCTGTCGGTCCTCTCCTGCCTTCAG-3'; B, 5'-GAAGATCTCAACAACAACAACAACAACGAGCTATTCTCCTGGGACTG-3' + 5'-TACTAGTCGACAAAAATTATTTTATCCATTTTTG-3'). The products were then purified with QIAGEN column, digested with EcoRI + BamHI (reaction A), and BglII + SalI (reaction B) overnight. After gel purification, three fragments, A + B + EcoRI-SalI vector pBF, were incubated for overnight ligation at 16°C, and then the ligation reaction was transformed to E. coli strain DH5
. Clones with the correct insert size were identified by EcoRI + SalI digestion and then sequenced for verification. This generates the 14 amino acid insertion of QQQQQQGSQQQQQQ after the amino acid at position 45. Similar insertions were made following residues 8, 15, 27, and 35.
Point Mutations of Charged Residues
As an example of how point mutations of charged residues were generated, here generation of K33Q is described. Two complementary primers were synthesized (5'-CATGACCTCCTGGACCAAAGGAAAACAGTCACA-3' and 5'-TGTGACTGTTTTCCTTTGGTCCAGGAGGTCATG-3'), in which nucleotides at the site of the targeted codon were changed to nucleotides encoding the designated amino acid codon (AAA to CAA). The PCR was performed on pBF-hß2 template (96°C 2 min; 1720 cycles of 96°C for 30 s, 50°C for 45 s, 68°C for 10 min; 96°C for 2 min), and the product was digested with DpnI for 23 h at 37°C, and then transformed to E. coli strain DH5
(Xia et al., 1998a
). Single colonies were picked up for a subsequent DNA miniprep and sequencing was applied for mutant identification. Multiple point mutations could be obtained by repeating several rounds of the above.
Generation of Artificial NH2 Termini
The artificial NH2 termini, such as FIW-8Q, were generated by pfu PCR with a set of primers. The NH2-terminal primer contained nucleotides encoding FIW-8Q after an initial ATG and then ß2 sequence from TM1 with a EcoRI site at 5' (5'-ATGAATTCTCTAAGATGCAGCAACAACAACAACAACAACGAGCTATTCTCCTGGGAC-3'); the COOH-terminal primer matched antisense sequence around the ß2 stop codon with a 5' SalI site (5'-ATCGTCGACAAAAATTATTTTATCCATTTTTGCAT-3'). The 634bp PCR fragment was purified, digested with EcoRI and SalI, cloned into pBF, and then verified by sequencing. The longer poly-Q chain constructs were generated by similar methods, although the shorter poly-Q chain constructs were used as the PCR template.
Expression in Xenopus Oocytes
SP6 RNA polymerase was used to synthesize cRNA for oocyte injection after DNA was linearized with MluI (Xia et al., 1999
). 50 nl of cRNA (1020 ng/µl) was injected into stage IV Xenopus oocytes harvested 1 d before. To ensure saturation of each BK channel with ß subunits, we injected
and ß subunits at ratios of at least 1:2 by weight.
Electrophysiological Recording
Recordings from inside-out patches (Hamill et al., 1981
) followed standard procedures in use in this laboratory (Xia et al., 1999
; Lingle et al., 2001
; Zhang et al., 2001
). Currents were typically digitized at 1020 kHz (Bessel low-pass filter; -3 dB). The pipette extracellular solution was (in mM) 140 potassium methanesulfonate, 20 KOH, 10 HEPES, and 2 MgCl2, pH7.2. The usual test solution bathing the cytoplasmic face of the patch membrane contained (in mM) 140 potassium methanesulfonate, 20 KOH, 10 HEPES, pH 7.0, and 5 mM HEDTA with Ca2+ -methanesulfonate added to make 10 µM free Ca2+. Procedures for preparation of solutions with defined [Ca2+] have been described (Zeng et al., 2001
; Zhang et al., 2001
) and the solution applied over the cytosolic face of excised patches was controlled by a local perfusion system (Solaro et al., 1995
, 1997
). Voltage commands and the acquisition of currents were accomplished with pClamp 7.0 for Windows (Axon Instruments, Inc.).
The Evaluation of Inactivation Behavior of Different Mutant Constructs
For all constructs, the following functional characteristics were determined: (a) the G-V curve at 10 µM Ca2+ measured from peak current and also, for noninactivating variants, from tail current; (b) the time constant of inactivation (
on) at potentials from 40 through 160 mV at 10 µM Ca2+; and (c) the time constant of recovery (
off) from inactivation at -140 mV with 10 µM Ca2+. In addition, for some constructs, there was appreciable steady-state current at potentials where inactivation mediated by the ß2 subunit is essentially complete. In such cases, fss, the fractional amplitude of steady-state current relative to maximal activatable current (Imax), was determined. fss is potentially indicative of the equilibrium between blocking and unblocking transitions. Imax was determined in two ways: first, from fitting the current time course to a function including terms for both activation and inactivation and, second, from application of trypsin to directly define Imax. In cases where each method could be applied to the same constructs, both estimates of Imax were within 10%.
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SCHEME I
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SCHEME II
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The empirical measures of channel inactivation behavior,
on,
off, and fss are most useful if they can be related to specific molecular transitions in a blocking scheme.
The standard scheme used to characterize either inactivation or blockade by NH2-terminal inactivation peptides is given in Scheme I.
However, more recently it has been shown that inactivation mediated by the ß3b subunit involves two distinct kinetic steps (Lingle et al., 2001
) and other work now shows that a similar model is also necessary to account for ß2 subunitmediated inactivation (unpublished data). This model, given in Scheme II,
involves formation of a preinactivated open state (O*) that precedes entry into inactivated states. A similar kinetic mechanism has been proposed to explain inactivation of Kv channels (Zhou et al., 2001
), although direct evidence demonstrating the existence of two kinetic steps for Kv channels is still lacking. Because of the fact that Scheme II almost certainly applies to the mechanism of inactivation studied here (and perhaps to that of Kv channels; Zhou et al., 2001
), there is simply no explicit way with the parameters we can measure to make definitive estimates of the underlying molecular transitions and the energetic changes caused by any given mutation. However, in lieu of such specific mechanistic information, here we employ three different empirical measures of the inactivation behavior that are of use in comparing the consequences of mutations.
First, for each construct we define ln[
on(mut)/
on(ß2)] and ln[
off(mut)/
off(ß2)], which allow comparison of the consequences of each mutation relative to the wild-type ß2 subunit in terms of units of kT. Irrespective of the molecular steps in the inactivation process, it is likely that
on at least qualitatively reflects primarily the factors that influence association of any inactivation domain with its blocking site while
off measured at -140 mV reflects, at least in part, dissociation of the inactivation domain. This approach has been also been used to evaluate the interaction of a Kv inactivation domain with the Kv1.4
subunit, in which it has also been proposed that a two-step mechanism of inactivation applies (Zhou et al., 2001
). Irrespective of the mechanism of inactivation, ln[
on/
on(ß2)] and ln[
off/
off(ß2)] provide model-independent indicators of changes in the inactivation process that allows comparison among constructs.
Second, to allow comparison between constructs in which both
on and
off may change, we also determine ln[(
on(mut)/
off(mut))/(
on(ß2)/
off(ß2))], which yields a measure in units of kT of the amount of change in the stability of the inactivated state relative to the wild-type ß2 subunit. For inactivation of Kv1.4 by various mutations of the Kvß2 NH2 terminus, which is also proposed to involve a similar two-step inactivation mechanism, ln[(
on(mut)/
off(mut))/(
on(ß2)/
off(ß2))] has been equated to ln[Kd(mut)/Kd(wt)] (Zhou et al., 2001
). Although it is likely that the relative changes in this estimate of ln[Kd(mut)/Kd(wt)] caused by any mutation do reflect something about the true equilibrium constants of the inactivation process, they are clearly not true equilibrium constants, both because inactivation probably involves two steps and because inactivation onset and recovery are measured at different voltages. Yet, as one tool for comparing the consequences of any given mutation, this formulation is still useful. Here we use the term "inactivation stability" defined as K* =
on/
off for any given construct, such that ln[K*mut/K*ß2] = ln[(
on(mut)/
off(mut))/(
on(ß2)/
off(ß2))]. The parameter, ln[K*mut/K*ß2], which is in kT units, provides a sense of the magnitude of the overall energetic changes that arise from any given mutation, although it should not be taken as a true equilibrium constant. ln[K*mut/K*ß2] should probably be considered less useful when a construct exhibits appreciable steady-state currents (larger fss) at 100 mV.
Finally, as an additional tool for assessing inactivation stability among various constructs, we take advantage of both
on and fss. Scheme I allows explicit characterization of the underlying rates k1 and k-1, as given in the following pair of equations (Murrell-Lagnado and Aldrich, 1993b
):
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Thus, from Scheme I, the above equations provide a means of evaluating the effects of particular mutations directly on both the molecular association rate and the dissociation rate (Murrell-Lagnado and Aldrich, 1993b
), where k1 = 1,000/
on - k-1 and k-1 = fss*1000/
on. From this, we define an inactivation equilibrium constant, K = k-1/k1. Relative to wild-type ß2 behavior, this yields ln[Kmt/Kß2]. Although fss is poorly defined for wild-type
+ ß2 currents, since the same value of Kß2 is used for calculation of all estimates of ln[Kmt/Kß2], it remains a useful tool for comparison among constructs. If a construct behaves in accordance with Scheme I, in which K defines a true binding affinity, ln[Kmt/Kß2] defines the change in free energy of binding (
Gmt-ß2) resulting from the mutation. For Scheme II, although K is not a true equilibrium constant, ln[Kmt/Kß2] provides a simple qualitative estimate of the change in apparent efficacy of the inactivation process which is useful for comparison of different constructs, particularly when steady-state currents are appreciable.
It should be noted that ln[K*mt/K*ß2] and ln[Kmt/Kß2], although both reflect something about the stability of the inactivation mechanism, are calculated from different conditions and, although relative changes between constructs would be expected to be similar, exact values are expected to differ.
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RESULTS
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Properties of the ß2 NH2 Terminus
The sequence of the ß2 NH2-terminal residues that precedes the predicted first TM1 is given in Fig. 1 along with the NH2-terminal residues for other BK ß subunits. The ß2 NH2 terminus consists of a total of 46 residues, including the initiation methionine that extend cytosolically from the beginning of the postulated TM1 sequence. The NH2 terminus contains six positive and four negative amino acids in the first thirty amino acids, resulting in a net charge on the initial 31 amino acids of +2, ignoring the terminal methionine. ß2 sequence following the initial 31 residues shares similarity with the ß1 NH2 terminus, which does not exhibit inactivation. Thus, residues in positions 3146 of the ß2 subunit are unlikely to participate directly in inactivation.
An NMR structure of an isolated ß2 NH2-terminal peptide has been determined (Bentrop et al., 2001
). Two segments of the NH2 terminus exhibited a reasonably stable structure in solution, indicated by the boxed residues in Fig. 1 A. The first 10 relatively hydrophobic residues exhibit large flexibility, as do residues downstream of position 31.
The ß2 subunit shares some common features with many other NH2-terminal inactivation domains of both
and ß subunit of Kv channels. In general, a segment of largely hydrophobic residues (Fig. 1 B) is followed by a more hydrophilic segment often containing both positive and negative charges. Among different NH2 termini, there is no clear pattern of charge, although most inactivating NH2 termini contain net positive charge.
Deletion of Amino Acids in Positions 24, but not in Positions 531, Abolish Inactivation
Our first goal was to define residues or regions of the NH2 terminus of the ß2 subunit that might be critical to the inactivation process. Therefore, a series of constructs was generated in which residues were deleted from various positions in the NH2 terminus. Two protocols were used to characterize each construct: first, an activation protocol involving a depolarizing command step to various potentials from -100 through 180 mV and, second, a paired pulse recovery protocol in which two depolarizing voltage steps to 100 mV were separated by a variable recovery interval at -140 mV. As shown in Fig. 2 A1 for wild-type ß2 currents, the activation protocol allows measurement of a time constant of inactivation (
on) at different potentials and also the fraction of noninactivating current at steady-state (fss) at a given potential. The paired pulse protocol (Fig. 2 A2) yields a time constant of recovery from inactivation (
off).

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FIGURE 2. Deletions spanning positions 536 do not abolish inactivation. In A1, currents resulting from subunits coexpressed with wild-type ß2 subunits were activated by the indicated voltage protocol. In A2, currents were activated by a paired pulse protocol (activation steps to 100 mV) separated by steps of different duration to -140 mV. Currents during the initial activation step were truncated to allow better visualization of the recovery time course. In B, removal of Phe, Ile, and Trp in positions 24 ( FIW) results in removal of inactivation. In C1 and C2, currents arising from a ß2 subunit with amino acids in positions 516 deleted ( 516) are shown. The first 10 amino acids in this construct are MFIWEKRNIY. Note the steady-state current in this construct that may arise from the influence of charged residues in positions 57. In D1 and D2, currents arising from a construct with residues 1625 deleted ( 1625) are shown. In E1 and E2, currents are shown for a construct with residues 2736 deleted ( 2736). In F, the currents show that deletion of residues 5 through 35 ( 535) results in removal of inactivation. In 535, the total length of the cytosolic portion of the NH2 terminus is 14. In G, inactivation time constants ( on) for ß2 ( , 4 patches), 516 ( , 3 patches), 1625 ( , 4 patches), and 2736 ( , 4 patches) are plotted as a function of activation potential showing a similar weak voltage-dependence of on for each construct. Each point is the mean and SD of 47 patches. In H, the recovery time course at -140 mV defined from the paired pulse protocol is shown for a set of patches for each construct. For ß2 ( , 4 patches), the fitted off is 23.4 ± 2.3 ms; for 516 ( , 3 patches), off is 5.13 ± 0.19 ms; for 1625 ( , 4 patches), off is 9.30 ± 0.55 ms; for 2736 ( , 3 patches), off is 6.19 ± 0.33 ms. Vertical calibration bar corresponds to: A1, 3 nA; A2, 2 nA; B, 6 nA; C1, 4 nA; C2, 3 nA; D1, 6 nA; D2, 4 nA; E1, 1.5 nA; E2, 1.2 nA; F, 8 nA.
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The main observation from the deletion constructs was that deletion of amino acids in positions 24 (
24;
FIW) removes inactivation (Fig. 2 B). Inactivation was also completely abolished in two other constructs in which residues 24 were removed: constructs
25 and
210. In contrast, deletions of various segments spanning amino acid positions 5 through 36 all permit relatively complete inactivation to occur (Fig. 2, CE), although changes in both
on (Fig. 2 G) and
off (Fig. 2 H) are observed. For example, deletion of residues 1625 (
1625) results in both a faster
on (at 100 mV) and a faster
off (at -140 mV) compared with inactivation mediated by the wild-type ß2 NH2 terminus. With the deletion of 31 residues (
535), inactivation disappeared (Fig. 2 F). The similarity of the V0.5 for activation for ß2 wild-type and the
535 construct indicates that the construct was expressed. Since other deletion mutations that span the range of residues 535 do permit inactivation, the failure of
535 to inactivate probably reflects the length of the NH2 terminus, as shown below. Table I summarizes the effects of various deletions on
on and
off, and expresses those values relative to the wild-type ß2 subunit (see MATERIALS AND METHODS). Of the deletions other than
24 and
535, it should be noted that deletions
520 and
524 were the most effective in altering the inactivation process, although in both cases inactivation can still occur.
We next examined more closely the consequences of deletion of residues in the FIW segment. The effects of deleting one (
F) and two (
FI) residues after the initiation methionine are shown in Fig. 3, B and C. Removal of each amino acid progressively reduced the apparent stability of the inactivation process. In
F and
FI, both
on and
off were faster than for wild-type
+ ß2 currents (Fig. 3, D and E). It should be noted that recovery from inactivation of both of these constructs shows evidence of time-dependent changes in the instantaneous current-voltage curve, consistent with previous work on
+ ß3b currents (Lingle et al., 2001
), supporting the two-step model of inactivation (see MATERIALS AND METHODS, Scheme II). Thus, although dissociation of the NH2 terminus from a binding site certainly contributes to the recovery time course, dissociation is probably not the sole determinant of the observed recovery time course.

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FIGURE 3. Deletions within positions 24 of the NH2 terminus reduce and abolish inactivation. In A1, activation of wild-type + ß2 currents are illustrated while, in A2, the time course of recovery from inactivation at -140 mV is shown. In B1 and B2, currents resulting from a construct with deletion of Phe in position 2 ( F) are shown, along with the time course of recovery from inactivation for that construct. Note the appearance of some steady-state current at all activation potentials. In C1 and C2, currents resulting from a construct with deletion of Phe and Ile in positions 2 and 3 ( FI) are shown. More substantial steady-state current is observed along with more rapid recovery from inactivation. In D, on is plotted as a function of activation potential for each of the three inactivating constructs (ß2: , 4 patches; F: , 4 patches; FI, , 8 patches). In E, the time course of recovery from inactivation determined at -140 mV is illustrated for the three constructs. For ß2, off is given in Fig. 2; for F (3 patches), off is 4.5 ± 0.3 ms; for FI (4 patches), off is 2.99 ± 0.33 ms.
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To verify that the loss of inactivation reflected some specific properties of the FIW residues rather than a simple shortening of the NH2 terminus, several alternative constructs were examined. When FIW was replaced with GGG, inactivation was also abolished (Fig. 4 A). Similarly, replacement of FIWTS with GGGGG also abolished inactivation. We also introduced GGG both before (GGGFIW; Fig. 4 B) and after (FIWGGG; Fig. 4 C) FIW. In both cases, the NH2 terminus remained inactivation competent, although the apparent affinity of the inactivation process was reduced. Thus, the loss of inactivation when FIW was replaced by GGG is not simply an inhibitory effect of GGG, but reflects a specific role of the FIW residues in inactivation (summarized in Table II). On balance, whether judged by removal of visible inactivation, by a larger steady-state current (fss), or by faster
off, mutations in this region generally cause more severe alterations in inactivation than the much more sizable deletions from position 5 through 36 summarized in Table I. Thus, the FIW segment appears to be the critical element required to maintain relatively normal inactivation.

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FIGURE 4. Consequences of replacement or displacement of FIW residues with GGG. In A, currents arising from a construct in which residues FIW were replaced with GGG are shown. No inactivation is observed, and trypsin application resulted in no increase in outward current. In B, currents are shown for a construct in which GGG was appended to the initial FIW sequence. The apparent stability of inactivation is reduced, but inactivation still occurs. In C, currents are shown for a construct in which GGG was inserted between FIW and the remainder of the NH2 terminus. In this case, steady-state inactivation is than for wild-type, but still substantial.
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Inactivation Efficacy Correlates with Bulk Hydrophobicity in the Inactivation Triplet
We next examined the role of the amino acids in the FIW triplet. First, having shown that replacement of FIW with GGG fails to inactivate, we mutated each residue to G either singly or in pairs. Second, the consequences of changing the distance between F and W were examined with the introduction of either G or negative charges as spacers. Third, each residue was mutated either to E or R to examine the role of introduction of charge in this region. Fourth, we examined the consequences of making all residues identical, as in III, FFF, or WWW. Fifth, we altered the order of FIW within the triplet. Results from these constructs are summarized in Table II.
Currents from constructs in which each of the three NH2-terminal residues were substituted with glycine are shown in Fig. 5, BD. In each case, introduction of a single glycine, although weakening the apparent affinity of the inactivation process, did not abolish the inactivation process. With two glycines (Fig. 5, EG), the efficacy of the inactivation process was further reduced. However, either a single F or single W were sufficient to maintain some inactivation, while construct GIG did not exhibit inactivation. This suggests that residues F and W and/or positions 2 and 4 are more critical to the stability of the inactivated state than residue I in position 3.

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FIGURE 5. Consequences of replacement of one or two residues in the FIW epitope. In A, inactivating currents resulting from wild-type ß2 subunits are shown. In BD, glycine was individually substituted for each residue in the FIW epitope. In each case, this resulted in a small weakening of inactivation, with the strongest effect arising from the F2G substitution. In EG, two glycines were substituted for a pair of residues in the FIW epitope. In F, replacement of both F and W with G abolished inactivation, while the presence of a single F (E) or W (G) appears sufficient to maintain some fast inactivation. In HK, the consequences of increasing the separation between F and W are illustrated. In H, the presence of two glycines between F and W results in currents similar to those with an FGW epitope, suggesting that W can still contribute to the stability of the inactivated state when there are two glycines interposed. In I and J, three and four glycines are interposed between F and W, in both cases resulting in currents in which steady-state inactivation is comparable to that resulting from FGG (E). This suggests that, in FGGGW (I) and FGGGGW (J), W may not substantially participate in defining the stability of the inactivated state. In K, the introduction of two negative charges between F and W abolishes inactivation.
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The effects of varying the distance between F and W either with G or with negatively charged residues are shown in Fig. 5, HK. Even with up to four Gs inserted between F and W, inactivation is maintained. With FGGWTS, the fraction of steady-state noninactivating current (fss) at 100 mV is less than in FGGTS, suggesting that W may contribute to the apparent affinity of the inactivation process. When two or three glycines are inserted between F and W (FGGWTS and FGGGWTS), the extent of inactivation is more comparable to FGGTS, although the presence of W still appears to influence inactivation stability to some extent. In contrast to the results with insertion of glycine residues, when two or more negatively charged residues are used as the spacer (e.g., FDEW), inactivation is completely lost.
Examples of the consequences of introduction of positive (Arg) or negative (Glu) charge into each of the three positions are provided in Fig. 6. In general, the introduction of a glutamate was more effective at disrupting inactivation than the introduction of an arginine, although in all cases inactivation still occurs. Furthermore, charges in position 2 (F) were more disruptive of inactivation than at positions 3 or 4.

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FIGURE 6. Introduction of single charges in the inactivation segment reduces but does not abolish rapid inactivation. In AC, each residue in the inactivation segment was replaced individually with glutamate. Replacement of F with E (A) produced the most marked disruption of inactivation, with substantial steady-state current observed at all potentials. In DF, the consequences of replacing each residue with arginine are illustrated. Arginine is less effective in each case at disrupting inactivation than glutamate, although at each position arginine produces some reduction in the stability of the inactivated state. Similar to the action of glutamate, replacement of F with R (D) had the strongest effects in disrupting inactivation. Vertical calibration: A, 4 nA; B, 1.5 nA; C, 5 nA; D, 6 nA; E, 5 nA; F, 4 nA.
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Constructs containing III, WWW, and FFF in the three positions after methionine exhibited some interesting features. In particular, whereas most mutations in the FIW epitope either had minimal effects on
on or resulted in faster inactivation, WWW was the one construct in which
on was appreciably slower.
The fact that inactivation still occurs after rather extensive mutagenesis of the FIW segment suggests that a specific structure defined by this triplet of residues is probably not critical to inactivation. Therefore, we also examined three constructs in which the positions of the F, I, and W were rearranged: FWI, IWF, and WIF. In each case, these constructs inactivated similarly to wild-type ß2 currents (Table II).
off was also comparable to the wild-type FIW construct, although recovery from inactivation of construct FWI exhibited two exponential components.
To compare the consequences of alterations in the FIW region, the magnitude of the changes in
off resulting from each mutation is compared along with the magnitude of the changes in
on in Fig. 7. In terms of kT units, most mutations generally disrupt
off more than
on, consistent with the idea that the major effect of the mutations is to promote faster dissociation of the inactivation domain from its binding site. Changes in
on are much smaller, although not absent. However, for those mutations in which fss is appreciable, some of the change in
on may also reflect a small contribution of dissociation to the
on relaxation. The apparent change in the stability of the inactivated state for each mutant was also plotted in terms of ln(Kmt/Kß2) (Fig. 7 C), which reflects an apparent affinity calculated from the fraction of steady-state current (fss) and
on.

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FIGURE 7. Relationship of inactivation parameters to alterations in the FIW triplet. In A, changes in off relative to inactivation mediated by wild-type ß2 subunits is expressed kT units. Mutations are grouped into those at position 2 (F2), those at position 3 (I3), those at position 4 (W4), constructs with deletions or multiple glycines in the NH2 terminus, and then a set of repeated residues in the initial triplet (FFF, III, WWW). Error bars reflect standard errors for measurement of the mutant construct expressed relative to the mean ß2 estimate. In B, changes in on are shown for each construct. Except for the slowing in inactivation resulting from the WWW mutation, most mutations have minimal effects on inactivation onset. In C, effects of mutations are compared in terms of ln(Kmt/Kß2), which is calculated based on the steady-state current at 100 mV (fss) and on (see MATERIALS AND METHODS).
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To evaluate the consequences of single point mutations in the FIW segment,
on and
off were plotted (Fig. 8) as a function of the mean surface area of the amino acid that is buried upon transfer from a solvent to a folded protein (Rose et al., 1985
). This is one of many measures of relative hydrophobicity among amino acids. In all cases, for the uncharged substitutions at each position, log(
off) varies in a linear fashion with hydrophobicity (Fig. 8, A2, B2, and C2), while log(
on) exhibits only a weak change with hydrophobicity at each position (Fig. 8, A1, B1, and C1). Substitutions of E and R result in
off values that deviate from the simple relationship exhibited by the uncharged residues. However, a line through the charged residues can be imagined as roughly parallel with that of uncharged residues. Charged residues pose particular problems for any hydrophobicity ranking (Creighton, 1993
). Changes in hydrophobicity in positions 2 and 4 have the largest effects on
off, consistent with earlier suggestions that these positions are more critical in defining the stability of the inactivated state.
We also examined the impact of bulk hydrophobicity when the first three residues after methionine are considered together. As above, the predicted area transferred upon folding into a protein was determined based on the sum of the contributions of amino acids in positions two to four (Rose et al., 1985
) for constructs in which changes were only made in the initial triplet. The relationship of this measure of hydrophobicity to
off and
on is shown in Fig. 9, A and B, respectively. Similar to the effects of hydrophobicity at the individual positions, ln(
off) varies approximately exponentially with hydrophobicity over a rather broad range. Charged residues produce an approximately parallel shift in the relationship between hydrophobicity and log(
off). log(
on), on the other hand, shows only slight variation with hydrophobicity over a broad range, with slowing in
on at larger increases in hydrophobicity exemplified by the WWW construct. In contrast to the behavior of log(
off), log(
on) was better described by a function, including both a hydrophobicity-independent term and a hydrophobicity-dependent term. The dependence of a presumed association rate on an apparent measure of hydrophobicity seems rather surprising, since hydrophobicity would not be expected to impact on the likelihood of collision in a bimolecular reaction. However, measures of hydrophobicity also tend to be correlated, except in the case of particular polar residues, with the partial volume in solution of a residue. We therefore propose that the slowing of
on is the result of a steric hindrance that arises from the presence of more bulky residues on the inactivation epitope. We suggest that this reflects movement of the inactivation epitope into a blocking position of somewhat restricted dimension, perhaps the pore.

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FIGURE 9. Dependence of inactivation parameters on bulk hydrophobicity within the initial triplet. In A, off for constructs with mutations within the FIW triplet is plotted as a function of the mean surface area (for the three residues in positions 24) that would be buried on transfer from solvent to a folded protein (Rose et al., 1985 ). The solid line is a linear regression [ off(A) = 0.018 * exp(0.012*A)] for all constructs involving uncharged residues. Error bars are SD for a least three determinations. , F2G, F2A, F2L; , I3T, I3A, I3G; , W4G, W4A, W4L; , FGG, GGW; , FFF, III, WWW; red , F2R, I3R, W4R; blue , F2E, I3E, W4E; red , FWI, WIF, IWF. In B, on is plotted as a function of area of residue buried on transfer to a folded protein. Symbols are as in A. The solid line was a fit to constructs with no charges in the initial triplet [ on(A) = 0.002 exp(0.016A) + 8.0].
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The Inactivation Epitope (FIW) Is the Necessary and Sufficient Element Required for Inactivation by the ß2 Subunit
The results from the deletion mutations suggest that the linker region between FIW and TM1 is relatively unimportant in maintaining the inactivation competency of the ß2 NH2 terminus. In fact, there appears to be little requirement for any specific structure in the linker region, except to provide some minimal length required for the inactivation epitope to reach its site of action. If FIW is the critical epitope required for inactivation while the linker segment is largely irrelevant to the ability of the NH2 terminus to produce inactivation, artificial NH2 termini with somewhat arbitrary linkers between TM1 and FIW should also produce inactivation. To evaluate this possibility, an artificial NH2 terminus was created in which FIW was linked to TM1 by a chain of 30 glutamine residues (polyQ). Residue R46 was maintained in all constructs, since a positively charged residue at this position appears to define the limit of TM1 in all ß subunits. Currents arising from an altered ß2 construct with an NH2 terminus consisting of MFIW(30Q)R46-ß2 are shown in Fig. 10 B. FIW-30Q exhibited inactivation with both the onset and recovery from inactivation being somewhat faster than for wild-type ß2. In contrast, a similar construct with a 30Q NH2 terminus but no FIW resulted in currents with no inactivation (Fig. 10 C).

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FIGURE 10. NH2 termini with artificial polymeric linkers support inactivation of BK channels. In A and H, wild-type ß2 currents are shown at two different time bases for comparison to mutant constructs. In B, an NH2 terminus with a polymeric chain length of 30 glutamine residues separating FIW from R46 results in currents that exhibit inactivation. In C, an NH2 terminus consisting solely of 30 glutamine residues (30Q) does not inactivate. In D, an NH2 terminus with a polymeric chain length with 10 glutamine residues separating FIW from R46 results in currents that do not inactivate. In E, when the chain length reaches 12 residues, fast time-dependent block is observed at potentials positive to 140 mV, while at more moderate potentials the fast kinetics of block result in an apparent increase in current activation rate. In F and G, traces show inactivating currents resulting from linkers of 14 and 20 glutamine residues, as indicated. In H, wild-type ß2 currents are shown on a different time base. In I, the NH2 terminus contained a linker with 10 proline residues. In J, the linker contained 12 proline residues. In K, the linker contained 14 proline residues. In L, the linker contained 14 residues, an alternating sequence of 7 alanine-arginine pairs.
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A characteristic of inactivation mediated by the ß2 NH2 terminus is that cytosolic blockers do not compete with the inactivation domain for its blocking site (Xia et al., 1999
). We were concerned that, with artificial NH2 termini, the site and mechanism of inactivation might differ from that observed with the wild-type ß2 NH2 terminus. To test this possibility, the ability of QX-314 to compete with inactivation mediated by FIW-30Q was examined. As with the wild-type ß2 NH2 terminus, QX-314 did not hinder the ability of the FIW-30Q NH2 terminus to produce inactivation (unpublished data).
Polymeric NH2 Termini Place Constraints on the Distance Between TM1 and the Interaction Site of the Inactivation Epitope
The ability of artificial NH2 termini to produce inactivation suggests that we can place additional limits on the properties of inactivation-competent NH2 termini. A series of NH2 termini with different polyglutamine (poly-Q) linkers were constructed. At poly-Q lengths of 8, 10 (Fig. 10 D), and 11, no inactivation was observed. In all cases, NH2 termini with poly-Q lengths from 12 to 30 supported inactivation (Fig. 10, EG; Table III). At a chain length of 12 residues, direct time-dependent inactivation was observed only at potentials more positive than 140 mV, whereas the low affinity of the inactivation equilibrium and the rapidity of inactivation resulted in currents with a faster apparent activation time course at other potentials (Fig. 10 E). In comparison to the native ß2 NH2 terminus, all constructs with the poly-Q linkers exhibited a faster onset of inactivation and a faster rate of recovery from inactivation, although with longer linker lengths the rates begin to approach those of the wild-type ß2 NH2 terminus. With a linker of 12 residues, the total number of residues from the initiation methionine preceding the R at the beginning of TM1 is 16. It is interesting that noninactivating ß1 and ß4 NH2 termini have 14 and 15 cytosolic residues, respectively, suggesting that their terminal residues would rarely approach the position at which the ß2 NH2 terminus acts (Fig. 1 A).
The cut-off of inactivation with a poly-Q linker of less than 12 residues is also generally consistent with the deletion mutations described earlier. In
524, in which inactivation is preserved (Table I), there are 21 residues between FIW and R46. In contrast, in
535, there are 10 residues between FIW and R46.
It seems remarkable that a linker as short as 12 residues should support inactivation given that the TM1 of the ß2 subunit presumably resides further from the channel axis than the
subunit S0S6 segments. Can any inferences be made about the length and structure of the peptide segment required for inactivation? Polymeric chains of amino acids are probably best treated as a random coil. In such a case, the rms end-to-end distance for a chain of N residues is given approximately by
(Creighton, 1993
), such that a chain of 12 residues should, on average, extend
39.5 Å and a chain of 20 residues,
51 Å. For comparison, an
-helical coil of 12 residues should extend
18 Å (1.5 Å/residue) and a ß-sheet
3840 Å (3.2 Å/residue).
A particularly informative linker would be based on poly-proline (poly-P). Proline adopts neither an
nor ß helical shape, but forms its own more rigid helical structures, with a polyproline II conformation (3.33 residues per turn; 3.12 Å per residue) favored in aqueous media (Creighton, 1993
). Similar to the poly-Q linkers, a chain of 10 proline residues did not support inactivation, while chains of 12, 13, and 14 residues all supported inactivation (Fig. 10, IK). Thus, uncharged chains formed by either the rigid proline or the more flexible glutamine exhibit a similar cut-off in terms of the minimum number of residues required to ensure that the inactivation segment reaches a blocking position. For a 12 residue poly-P chain, a polyproline II conformation predicts a length of 37.4 Å. This is remarkably similar to the average end-to-end distance for a random coil, which is likely to apply to the poly-Q chains.
If the poly-Q linkers adopt a helical structure rather than a random coil, how the FIW inactivation epitope is presented to its interaction site might depend on the fractional rotation of the epitope dependent on the number of turns conferred by different chain lengths. We therefore plotted
on and
off as a function of the number of residues in a linker (Fig. 11, A and B). Over a series of poly-Q linkers from 12 through 30 Q,
on and
off varied in a continuous fashion, suggesting that the ability of the FIW epitope to produce inactivation was not particularly constrained by any aspect of the linker.
For both poly-Q and poly-P linkers,
on,
off, and ln(K*mt/K*ß2) (Fig. 11 C) were compared. For poly-Q chains, each parameter varies continuously with chain length approaching values similar to those for the wild-type ß2 NH2 terminus at longer chain lengths. This suggests that, once a particular chain length is reached, the inactivation behavior is largely defined by the inactivation epitope. Although we have not examined longer chain lengths with other amino acids, the limited results with the poly-P linkers also suggest that, as the proline chain length is increased, the inactivation behavior may also begin to approximate that seen with the wild-type NH2 terminus. An implication of this interpretation is that for shorter chain lengths, the chain is important in defining the ability of the inactivation epitope to reach its site of action.
The differences in the kinetic properties of currents with the poly-P and poly-Q linkers may be explainable in terms of chain flexibility. The poly-Q linker will adopt lengths both shorter and longer than 38 Å and exhibit substantial flexibility, whereas with the more rigid poly-P linker there may be constraints in terms of how the FIW epitope can reach its site of action.
Two other polymeric linkers were also examined. A linker with a series of seven alanine/arginine repeats permitted inactivation (Fig. 10 L). A linker of 14 alanine residues did not result in inactivation. The inability of alanine to support inactivation might result from several reasons. Alanine strongly stabilizes
-helices relative to a random coil arrangement when introduced into artificial peptides (O'Neil and DeGrado, 1990
), which might result in a much shorter average length of the alanine chain. However, alanine may also simply prefer a hydrophobic environment, such that the inactivation epitope remains anchored in a position unsuitable for producing inactivation.
For comparison to results with artificial NH2-terminal linkers, the properties of native NH2 termini with deletions (Fig. 11, DF) were also plotted as a function of linker length. For
on (Fig. 11 D) and
off (Fig. 11 E), no clear trend with linker length can be discerned, although there is some suggestion, on average, of a faster
off with shorter chain lengths. However, ln[K*mut/K*ß2] (Fig. 11 F) varied qualitatively with chain length in a fashion somewhat similar to that of the poly-Q and poly-P chains with the apparent affinity of the inactivation process reduced at shorter chain lengths.
Mutations that Decrease Net Positive Charge Generally Have Little Effect or Increase the Rate of Current Inactivation
Results above indicate that the necessary elements required to make an inactivation-competent NH2-terminal segment are a triplet of hydrophobic residues at the NH2 terminus and a simple linker connecting the FIW triplet to TM1. Yet, in Kv channels charge on the linker is considered to be fundamentally important in the inactivation process, either in guiding interactions of a presumed "ball" domain with a binding site (Murrell-La