A diffusive model of the ball and chain inactivation

The ball and chain mechanism is a widely accepted theory for the inactivation of the Shaker K(+)channel. In this paper we propose a diffusive model that predicts a rate of inactivation that is comparable to the experimental measurements.     

Statistical properties predicted by the ball and chain model of channel inactivation.

It has been proposed that part of a voltage gated channel is a tethered ball and that inactivation occurs when this wandering ball binds to a site in the channel. In order to be able to quantitatively test this model by comparison to experiments we developed analytical solutions and numerical simulations of the distribution of times it takes the ball to reach the binding site when the motion of the ball is random and when it is also influenced by a directed force. If the motion of the ball is one-dimensional, at long times this distribution is a single exponential with a rate constant that is inversely proportional to the square of the length of the chain and does not depend on the starting position of the ball. This dependence on the chain length is not significantly altered if there are short range electrical forces between the ball and its binding site. These predictions suggest that to confirm the validity of this model additional experiments should be done to more precisely determine the form of this distribution and its dependence on the length of the chain.     

Modulation of hSlo BK current inactivation by fatty acid esters of CoA

Lipid metabolism influences membrane proteins, including ion channels, in health and disease. Fatty acid esters of CoA are important intermediates in fatty acid metabolism and lipid biosynthesis. In the present study, we examined the effect of acyl-CoAs on hSlo BK currents. Arachidonoyl-CoA (C₂₀-CoA) induced β2-dependent inhibition of hSlo -α current when applied intracellularly but not extracellularly. This action was also mimicked by other long-chain acyl-CoAs such as oleoyl-CoA (C₁₈-CoA) and palmitoyl-CoA (C₁₆-CoA), but not acetyl-CoA (C₂-CoA, shorter chain), suggesting that the length of acyl chains, rather than CoA headgroups, is critical. When hSlo -α inactivation was induced by a free synthetic cationic β2 NH2-terminus inactivation ball peptide, long-chain acyl-CoAs inhibited hSlo -α current and facilitated inactivation. The precursor fatty acids also facilitated the ball peptide-induced inactivation in a chain length-dependent manner, whereas sphingosine (positively charged) slowed this inactivation. When the β2-induced inactivation was compared with that of the ball peptide, there was a negative shift in the steady state inactivation, slower recovery, and a reduced voltage-dependence of inactivation onset. These data suggest that electrostatic interactions with the cytosolic inactivation domain of β2 mediate acyl-CoA modulation of BK currents. BK channel inactivation may be a specific target for lipid modulation in physiological and pathophysiological conditions.     

Electrostatic interaction between inactivation ball and T1–S1 linker region of Kv1.4 channel

Inactivation of potassium channels plays an important role in shaping the electrical signaling properties of nerve and muscle cells. The rapid inactivation of Kv1.4 has been assumed to be controlled by a “ball and chain” inactivation mechanism. Besides hydrophobic interaction between inactivation ball and the channel's inner pore, the electrostatic interaction has also been proved to participate in the “ball and chain” inactivation process of Kv1.4 channel. Based on the crystal structure of Kv1.2 channel, the acidic T1–S1 linker is indicated to be a candidate interacting with the positively charged hydrophilic region of the inactivation domain. In this study, through mutating the charged residues to amino acids of opposite polar, we identified the electrostatic interaction between the inactivation ball and the T1–S1 linker region of Kv1.4 channel. Inserting negatively charged peptide at the amino terminal of Kv1.4 channel further confirmed the electrostatic interaction between the two regions.     

Electrostatic interaction between inactivation ball and T1-S1 linker region of Kv1.4 channel

Inactivation of potassium channels plays an important role in shaping the electrical signaling properties of nerve and muscle cells. The rapid inactivation of Kv1.4 has been assumed to be controlled by a "ball and chain" inactivation mechanism. Besides hydrophobic interaction between inactivation ball and the channel's inner pore, the electrostatic interaction has also been proved to participate in the "ball and chain" inactivation process of Kv1.4 channel. Based on the crystal structure of Kv1.2 channel, the acidic T1-S1 linker is indicated to be a candidate interacting with the positively charged hydrophilic region of the inactivation domain. In this study, through mutating the charged residues to amino acids of opposite polar, we identified the electrostatic interaction between the inactivation ball and the T1-S1 linker region of Kv1.4 channel. Inserting negatively charged peptide at the amino terminal of Kv1.4 channel further confirmed the electrostatic interaction between the two regions.     

Electrostatic interaction in the NH2-terminus accelerates inactivation of the Kv1.4 channel

Inactivation of potassium channels plays an important role in shaping the electrical signalling properties of nerve and muscle cells. While it has been assumed that the rapid inactivation of the Kv1.4 channel is controlled by a “ball and chain” inactivation mechanism, the chain structure of the channel has not been well defined. Here, by conducting electrophysiological studies on variants containing mutations of the positively charged and negatively charged segments of the NH₂-terminal of the channel protein, we show that neutralization or deletion of the positively charged segment (residues 83-98) significantly slowed the inactivation process. Replacement of this positively charged segment with the negatively charged segment (residues 123-137), and vice versa, so that both segments were simultaneously positively or negatively charged, also slowed the inactivation process. Furthermore, the inactivation process was not changed when the positively charged and the negatively charged segments were interchanged. In contrast, the voltage dependence of activation and inactivation of the channels was not significantly altered by these mutants. These results indicate that the electrostatic interaction between the positively and negatively charged segments plays a critical role in the inactivation process of the Kv1.4 channel. Taken together, we propose that the electrostatic interaction accelerates the inactivation of the Kv1.4 channel by making it easier for the inactivation ball to access its binding site.     

Functional role of the NH2-terminal cytoplasmic domain of a mammalian A- type K channel

It has been shown for a Shaker channel (H-4) that its NH2-terminal cytoplasmic domain may form a "ball and chain" structure, with the "chain" tethering the "ball" to the channel while the "ball" capable of binding to the channel in its open state and causing inactivation. Equivalent structures have not been identified in mammalian Shaker homologues. We studied the functional role of the NH2-terminal region of a fast-inactivating mammalian K channel, RHK1 (Kv1.4), by deleting different domains in this region and examining the resultant changes in channel properties at whole cell and single channel levels. Deleting the NH2-terminal hydrophobic domain (domain A) or the subsequent positive charges (domain I) from RHK1 greatly slowed the decay of whole cell currents, suggesting the existence of a ball-like structure in RHK1 similar to that in the Shaker channel. The function of the ball appeared to be abolished by deleting domain A, while modified but maintained by deleting domain I. In the latter case, the data suggest that the positive charges needed for the function of the ball can be replaced by amino acids from a following region (domain III) that has a high positive charge density. Deleting multiple domains from the NH2 terminus of RHK1 corresponding to the chain in Shaker H-4 did not induce expected changes in channel properties that might result from a shortening of a chain. A comparison of single channel kinetics of selected mutant channels with those of the wild-type channel indicated that these deletion mutations slowed whole cell currents by prolonging burst durations and by increasing the probability of reopening during depolarization. There were no changes in single channel current amplitude or latency to first opening. In conclusion, our observations indicate that the inactivation mechanism of RHK1 is similar to that of Shaker H-4 in that a positively charged cytoplasmic domain is important for such a process. The NH2-terminal domain is not involved in channel activation or ion permeation process.     

N-type inactivation and the S4-S5 region of the Shaker K+ channel

The intracellular segment of the Shaker K+ channel between transmembrane domains S4 and S5 has been proposed to form at least part of the receptor for the tethered N-type inactivation "ball." We used the approach of cysteine substitution mutagenesis and chemical modification to test the importance of this region in N-type inactivation. We studied N-type inactivation or the block by a soluble inactivation peptide ("ball peptide") before and after chemical modification by methanethiosulfonate reagents. Particularly at position 391, chemical modification altered specifically the kinetics of ball peptide binding without altering other biophysical properties of the channel. Results with reagents that attach different charged groups at 391 C suggested that there are both electrostatic and steric interactions between this site and the ball peptide. These findings identify this site to be in or near the receptor site for the inactivation ball. At many of the other positions studied, modification noticeably inhibited channel current. The accessible cysteines varied in the state-dependence of their modification, with five- to tenfold changes in reactions rate depending on the gating state of the channel.     

Inactivation in ShakerB K+ channels: a test for the number of inactivating particles on each channel.

Fast inactivation in ShakerB K channels results from pore-block caused by "ball peptides" attached to the inner part of each K channel. We have examined the question of how many functional inactivating balls are on each channel and how this number affects inactivation and recovery from inactivation. To that purpose we expressed ShakerB in the insect cell line Sf9 and gradually removed inactivation by perfusing the cell interior with the hydrolytic enzyme papain under whole cell patch clamp. Inactivation slows down as the balls are removed by an amount consistent with the presence of four balls on each channel. Recovery from inactivation has the same time course early and late in papain action; it does not depend on the number of balls remaining on the channel, consistent with the idea that reinactivation is not significant during recovery from inactivation. Our conclusion is that ShakerB has four ball peptides, each capable of causing inactivation. Statistically, the balls are identical and independent. The stability of N-type inactivation by the remaining balls is not appreciably affected by removing some of the balls from a channel.     

Tyrosine phosphorylation of the inactivating peptide of the shaker B potassium channel: a structural-functional correlate

A synthetic peptide patterned after the sequence of the inactivating "ball" domain of the Shaker B K(+) channel restores fast (N-type) inactivation in mutant deletion channels lacking their constitutive ball domains, as well as in K(+) channels that do not normally inactivate. We now report on the effect of phosphorylation at a single tyrosine in position 8 of the inactivating peptide both on its ability to restore fast channel inactivation in deletion mutant channels and on the conformation adopted by the phosphorylated peptide when challenged by anionic lipid vesicles, a model target mimicking features of the inactivation site in the channel protein. We find that the inactivating peptide phosphorylated at Y8 behaves functionally as well as structurally as the noninactivating mutant carrying the mutation L7E. Moreover, it is observed that the inactivating peptide can be phosphorylated by the Src tyrosine kinase either as a free peptide in solution or when forming part of the membrane-bound protein channel as the constitutive inactivating domain. These findings suggest that tyrosine phosphorylation-dephosphorylation of this inactivating ball domain could be of physiological relevance to rapidly interconvert fast-inactivating channels into delayed rectifiers and vice versa.     

A new mode of regulation of N-type inactivation in a Caenorhabditis elegans voltage-gated potassium channel

N-type inactivation in voltage-gated K+ (Kv) channels is a widespread means to modulate neuronal excitability and signaling. Here we have shown a novel mechanism of N-type inactivation in a Caenorhabditis elegans Kv channel. The N-terminal sequence of KVS-1 contains a domain of 22 amino acids that resembles the inactivation ball in A-type channels, which is preceded by a domain of eighteen amino acids. Wild type KVS-1 currents can be described as A-type; however, their kinetics are significantly (approximately 5-fold) slower. When the putative inactivation ball is deleted, the current becomes non-inactivating. Inactivation is restored in non-inactivating channels by diffusion of the missing inactivation domain in the cytoplasm. Deletion of the domain in front of the ball speeds inactivation kinetics approximately 5-fold. We conclude that KVS-1 is the first example of a novel type of Kv channel simultaneously possessing an N-inactivating ball preceded by an N inactivation regulatory domain (NIRD) that acts to slow down inactivation through steric mechanisms.     

Direct Evidence for a Similar Molecular Mechanism Underlying Shaker Kv Channel Fast Inactivation and Clustering

The fast inactivation and clustering functions of voltage-dependent potassium channels play fundamental roles in electrical signaling. Recent evidence suggests that both these distinct channel functions rely on intrinsically disordered N- and C-terminal cytoplasmic segments that function as entropic clocks to time channel inactivation or scaffold protein-mediated clustering, both relying on what can be described as a “ball and chain” binding mechanism. Although the mechanisms employed in each case are seemingly analogous, both were put forward based on bulky chain deletions and further exhibit differences in reaction order. These considerations raised the question of whether the molecular mechanisms underlying Kv channel fast inactivation and clustering are indeed analogous. By taking a “chain”-level chimeric channel approach involving long and short spliced inactivation or clustering “chain” variants of the Shaker Kv channel, we demonstrate the ability of native inactivation and clustering “chains” to substitute for each other in a length-dependent manner, as predicted by the “ball and chain” mechanism. Our results thus provide direct evidence arguing that the two completely unrelated Shaker Kv channel processes of fast inactivation and clustering indeed occur according to a similar molecular mechanism.     

On the possible methods for the mathematical description of the ball and chain model of ion channel inactivation

Ion channels are large transmembrane proteins that are able to conduct small inorganic ions. They are characterized by high selectivity and the ability to gate, i.e. to modify their conductance in response to different stimuli. One of the types of gating follows the ball and chain model, according to which a part of the channel’s protein forms a ball connected with the intracellular side of the channel by a polypeptide chain. The ball is able to modify the conductance of the channel by properly binding to and plugging the channel pore. In this study, the polypeptide ball is treated as a Brownian particle, the movements of which are limited by the length of the chain. The probability density of the ball’s position is resolved by different diffusional operators — parabolic (including the case with drift), hyperbolic, and fractional. We show how those different approaches shed light on different aspects of the movement. We also comment on some features of the survival probabilities (which are ready to be compared with electrophysiological measurements) for issues based on the above operators. Paper authored by participants of the international conference: International Workshop on Ionic Channels, Szczyrk, Poland, May 27 – June 01, 2007. Publication cost was covered by the organisers of this meeting.     

Structure of the inactivating gate from the Shaker voltage gated K+ channel analyzed by NMR spectroscopy

Rapid inactivation of voltage-gated K⁺ (K_V) channels is mediated by an N-terminal domain (inactivating ball domain) which blocks the open channel from the cytoplasmic side. Inactivating ball domains of various K_V channels are also biologically active when synthesized separately and added as a peptide to the solution. Synthetic inactivating ball domains from different K_V channels with hardly any sequence homology mediate quite similar effects even on unrelated K_V channel subtypes whose inactivation domain has been deleted. The solution structure of the inactivating ball peptide from Shaker (Sh-P22) was analyzed with NMR spectroscopy. The NMR data indicate a non-random structure in an aqueous environment. However, while other inactivating ball peptides showed well-defined three-dimensional structures under these conditions, Sh-P22 does not have a unique, compactly folded structure in solution.     

电压依赖性离子通道门控的分子机制

５０年代Ｈｏｄｇｋｉｎ和Ｈｕｘｌｅｙ双通道模型及其激活与失活学说,正逐步被８０年代以来的分子生物学和电生理学研究所证实。Ｎａ＾＋、Ｋ＾＋离子通道的激活主要决定于高度保守的带正电荷氨基酸残基密集的Ｓ４段,由膜内向膜外方向的拧改锥样旋转。Ｎａ＾＋通道的失活主要与其Ⅲ－Ⅳ功能区之间的胞内连结襻的“铰链盖”样运动有关;Ｋ＾＋通的失活分Ｎ－、Ｃ－、Ｐ－三型,分别发生在Ｎ－、Ｃ－末端和Ｐ区,其Ｎ型失活与Ｎ－末     

NMR structure of the "ball-and-chain" domain of KCNMB2, the beta 2-subunit of large conductance Ca2+- and voltage-activated potassium channels

The auxiliary beta-subunit KCNMB2 (beta(2)) endows the non-inactivating large conductance Ca(2+)- and voltage-dependent potassium (BK) channel with fast inactivation. This process is mediated by the N terminus of KCNMB2 and closely resembles the "ball-and-chain"-type inactivation observed in voltage-gated potassium channels. Here we investigated the solution structure and function of the KCNMB2 N terminus (amino acids 1-45, BKbeta(2)N) using NMR spectroscopy and patch clamp recordings. BKbeta(2)N completely inactivated BK channels when applied to the cytoplasmic side; its interaction with the BK alpha-subunit is characterized by a particularly slow dissociation rate and an affinity in the upper nanomolar range. The BKbeta(2)N structure comprises two domains connected by a flexible linker: the pore-blocking "ball domain" (formed by residues 1-17) and the "chain domain" (between residues 20-45) linking it to the membrane segment of KCNMB2. The ball domain is made up of a flexible N terminus anchored at a well ordered loop-helix motif. The chain domain consists of a 4-turn helix with an unfolded linker at its C terminus. These structural properties explain the functional characteristics of BKbeta(2)N-mediated inactivation.     

Evaluation of functional interaction between K(+) channel alpha- and beta-subunits and putative inactivation gating by Co-expression in Xenopus laevis oocytes

Animal K⁺ channel α- (pore-forming) subunits form native proteins by association with β-subunits, which are thought to affect channel function by modifying electrophysiological parameters of currents (often by inducing fast inactivation) or by stabilizing the protein complex. We evaluated the functional association of KAT1, a plant K⁺ channel α-subunit, and KAB1 (a putative homolog of animal K⁺ channel β-subunits) by co-expression in Xenopus laevis oocytes. Oocytes expressing KAT1 displayed inward-rectifying, non-inactivating K⁺ currents that were similar in magnitude to those reported in prior studies. K⁺ currents recorded from oocytes expressing both KAT1 and KAB1 had similar gating kinetics. However, co-expression resulted in greater total current, consistent with the possibility that KAB1 is a β-subunit that stabilizes and therefore enhances surface expression of K⁺ channel protein complexes formed by α-subunits such as KAT1. K⁺ channel protein complexes formed by α-subunits such as KAT1 that undergo (voltage-dependent) inactivation do so by means of a “ball and chain” mechanism; the ball portion of the protein complex (which can be formed by the N terminus of either an α- or β-subunit) occludes the channel pore. KAT1 was co-expressed in oocytes with an animal K⁺ channel α-subunit (hKv1.4) known to contain the N-terminal ball and chain. Inward currents through heteromeric hKv1.4:KAT1 channels did undergo typical voltage-dependent inactivation. These results suggest that inward currents through K⁺ channel proteins formed at least in part by KAT1 polypeptides are capable of inactivation, but the structural component facilitating inactivation is not present when channel complexes are formed by either KAT1 or KAB1 in the absence of additional subunits.     

Probing the channel-bound shaker B inactivating peptide by stereoisomeric substitution at a strategic tyrosine residue

A synthetic peptide patterned after the sequence of the inactivating ball domain of the Shaker B K(+) channel, the ShB peptide, fully restores fast inactivation in the deletion Shaker BDelta6-46 K(+) channel, which lacks the constitutive ball domains. On the contrary, a similar peptide in which tyrosine 8 is substituted by the secondary structure-disrupting d-tyrosine stereoisomer does not. This suggests that the stereoisomeric substitution prevents the peptide from adopting a structured conformation when bound to the channel during inactivation. Moreover, characteristic in vitro features of the wild-type ShB peptide such as the marked propensity to adopt an intramolecular beta-hairpin structure when challenged by anionic phospholipid vesicles, a model target mimicking features of the inactivation site in the channel protein, or to insert into their hydrophobic bilayers, are lost in the d-tyrosine-containing peptide, whose behavior is practically identical to that of noninactivating peptide mutants. In the absence of high resolution crystallographic data on the inactivated channel/peptide complex, these latter findings suggest that the structured conformation required for the peptide to promote channel inactivation, as referred to above, is likely to be beta-hairpin.     

N type rapid inactivation in human Kv1.4 channels: functional role of a putative C-terminal helix

Voltage gated potassium channels are tetrameric membrane proteins, which have a central role in cellular excitability. Human Kv1.4 channels open on membrane depolarization and inactivate rapidly by a ‘ball and chain’ mechanism whose molecular determinants have been mapped to the cytoplasmic N terminus of the channel. Here we show that the other terminal end of the channel also plays a role in channel inactivation. Swapping the C-terminal residues of hKv1.4 with those from two non-inactivating channels (hKv1.1 and hKv1.2) affects the rates of inactivation, as well as the recovery of the channel from the inactivated state. Secondary structure predictions of the hKv1.4 sequence reveal a helical structure at its distal C-terminal. Complete removal or partial disruption of this helical region results in channels with remarkably slowed inactivation kinetics. The ionic selectivity and voltage-dependence of channel opening were similar to hKv1.4, indicative of an unperturbed channel pore. These results demonstrate that fast inactivation is modulated by structural elements in the C-terminus, suggesting that the process involves the concerted action of the N- and C-termini.     

NH2-terminal inactivation peptide binding to C-type-inactivated Kv channels

In many voltage-gated K(+) channels, N-type inactivation significantly accelerates the onset of C-type inactivation, but effects on recovery from inactivation are small or absent. We have exploited the Na(+) permeability of C-type-inactivated K(+) channels to characterize a strong interaction between the inactivation peptide of Kv1.4 and the C-type-inactivated state of Kv1.4 and Kv1.5. The presence of the Kv1.4 inactivation peptide results in a slower decay of the Na(+) tail currents normally observed through C-type-inactivated channels, an effective blockade of the peak Na(+) tail current, and also a delay of the peak tail current. These effects are mimicked by addition of quaternary ammonium ions to the pipette-filling solution. These observations support a common mechanism of action of the inactivation peptide and intracellular quaternary ammonium ions, and also demonstrate that the Kv channel inner vestibule is cytosolically exposed before and after the onset of C-type inactivation. We have also examined the process of N-type inactivation under conditions where C-type inactivation is removed, to compare the interaction of the inactivation peptide with open and C-type-inactivated channels. In C-type-deficient forms of Kv1.4 or Kv1.5 channels, the Kv1.4 inactivation ball behaves like an open channel blocker, and the resultant slowing of deactivation tail currents is considerably weaker than observed in C-type-inactivated channels. We present a kinetic model that duplicates the effects of the inactivation peptide on the slow Na(+) tail of C-type-inactivated channels. Stable binding between the inactivation peptide and the C-type-inactivated state results in slower current decay, and a reduction of the Na(+) tail current magnitude, due to slower transition of channels through the Na(+)-permeable states traversed during recovery from inactivation.