Structures of the MthK RCK domain and the effect of Ca2+ on gating ring stability

MthK is a Ca2+-gated K+ channel from Methanobacterium autotrophicum. The crystal structure of the MthK channel in a Ca2+-bound open state was previously determined at 3.3 A and revealed an octameric gating ring composed of eight intracellular ligand-binding RCK (regulate the conductance of K+) domains. It was suggested that Ca2+ binding regulates the gating ring conformation, which in turn leads to the opening and closing of the channel. However, at 3.3 AA resolution, the molecular details of the structure are not well defined, and many of the conclusions drawn from that structure were hypothetical. Here we have presented high resolution structures of the MthK RCK domain with and without Ca2+ bound from three different crystals. These structures revealed a dimeric architecture of the RCK domain and allowed us to visualize the Ca2+ binding and protein-protein contacts at atomic detail. The dimerization of RCK domains is also conserved in other RCK-regulated K+ channels and transporters, suggesting that the RCK dimer serves as a basic unit in the gating ring assembly. A comparison of these dimer structures confirmed that the dimer interface is indeed flexible as suggested previously. However, the conformational change at the flexible interface is of an extent smaller than the previously hypothesized gating ring movement, and a reconstruction of these dimers into octamers by applying protein-protein contacts at the fixed interface did not generate enclosed gating rings. This indicated that there is a high probability that the previously defined fixed interface may not be fixed during channel gating. In addition to the structural studies, we have also carried out biochemical analyses and have shown that near physiological pH, isolated RCK domains form a stable octamer in solution, supporting the notion that the formation of octameric gating ring is a functionally relevant event in MthK gating. Additionally, our stability studies indicated that Ca2+ binding stabilizes the RCK domains in this octameric state.     

Crystal structures of a ligand-free MthK gating ring: insights into the ligand gating mechanism of K+ channels

MthK is a prokaryotic Ca(2+)-gated K(+) channel that, like other ligand-gated channels, converts the chemical energy of ligand binding to the mechanical force of channel opening. The channel's eight ligand-binding domains, the RCK domains, form an octameric gating ring in which Ca(2+) binding induces conformational changes that open the channel. Here we present the crystal structures of the MthK gating ring in closed and partially open states at 2.8 A, both obtained from the same crystal grown in the absence of Ca(2+). Furthermore, our biochemical and electrophysiological analyses demonstrate that MthK is regulated by both Ca(2+) and pH. Ca(2+) regulates the channel by changing the equilibrium of the gating ring between closed and open states, while pH regulates channel gating by affecting gating-ring stability. Our findings, along with the previously determined open MthK structure, allow us to elucidate the ligand gating mechanism of RCK-regulated K(+) channels.     

The NH2 terminus of RCK1 domain regulates Ca2+-dependent BK(Ca) channel gating

Large conductance, voltage- and Ca2+-activated K+ (BK(Ca)) channels regulate blood vessel tone, synaptic transmission, and hearing owing to dual activation by membrane depolarization and intracellular Ca2+. Similar to an archeon Ca2+-activated K+ channel, MthK, each of four alpha subunits of BK(Ca) may contain two cytosolic RCK domains and eight of which may form a gating ring. The structure of the MthK channel suggests that the RCK domains reorient with one another upon Ca2+ binding to change the gating ring conformation and open the activation gate. Here we report that the conformational changes of the NH2 terminus of RCK1 (AC region) modulate BK(Ca) gating. Such modulation depends on Ca2+ occupancy and activation states, but is not directly related to the Ca2+ binding sites. These results demonstrate that AC region is important in the allosteric coupling between Ca2+ binding and channel opening. Thus, the conformational changes of the AC region within each RCK domain is likely to be an important step in addition to the reorientation of RCK domains leading to the opening of the BK(Ca) activation gate. Our observations are consistent with a mechanism for Ca2+-dependent activation of BK(Ca) channels such that the AC region inhibits channel activation when the channel is at the closed state in the absence of Ca2+; Ca2+ binding and depolarization relieve this inhibition.     

Intra- and intersubunit cooperativity in activation of BK channels by Ca2+

The activation of BK channels by Ca(2+) is highly cooperative, with small changes in intracellular Ca(2+) concentration having large effects on open probability (Po). Here we examine the mechanism of cooperative activation of BK channels by Ca(2+). Each of the four subunits of BK channels has a large intracellular COOH terminus with two different high-affinity Ca(2+) sensors: an RCK1 sensor (D362/D367) located on the RCK1 (regulator of conductance of K(+)) domain and a Ca-bowl sensor located on or after the RCK2 domain. To determine interactions among these Ca(2+) sensors, we examine channels with eight different configurations of functional high-affinity Ca(2+) sensors on the four subunits. We find that the RCK1 sensor and Ca bowl contribute about equally to Ca(2+) activation of the channel when there is only one high-affinity Ca(2+) sensor per subunit. We also find that an RCK1 sensor and a Ca bowl on the same subunit are much more effective in increasing Po than when they are on different subunits, indicating positive intrasubunit cooperativity. If it is assumed that BK channels have a gating ring similar to MthK channels with alternating RCK1 and RCK2 domains and that the Ca(2+) sensors act at the flexible (rather than fixed) interfaces between RCK domains, then a comparison of the distribution of Ca(2+) sensors with the observed responses suggest that the interface between RCK1 and RCK2 domains on the same subunit is flexible. On this basis, intrasubunit cooperativity arises because two high-affinity Ca(2+) sensors acting across a flexible interface are more effective in opening the channel than when acting at separate interfaces. An allosteric model incorporating intrasubunit cooperativity nested within intersubunit cooperativity could approximate the Po vs. Ca(2+) response for eight possible subunit configurations of the high-affinity Ca(2+) sensors as well as for three additional configurations from a previous study.     

Mutations within the P-loop of Kir6.2 modulate the intraburst kinetics of the ATP-sensitive potassium channel

The ATP-sensitive potassium (K(ATP)) channel exhibits spontaneous bursts of rapid openings, which are separated by long closed intervals. Previous studies have shown that mutations at the internal mouth of the pore-forming (Kir6.2) subunit of this channel affect the burst duration and the long interburst closings, but do not alter the fast intraburst kinetics. In this study, we have investigated the nature of the intraburst kinetics by using recombinant Kir6.2/SUR1 K(ATP) channels heterologously expressed in Xenopus oocytes. Single-channel currents were studied in inside-out membrane patches. Mutations within the pore loop of Kir6.2 (V127T, G135F, and M137C) dramatically affected the mean open time (tau(o)) and the short closed time (tauC1) within a burst, and the number of openings per burst, but did not alter the burst duration, the interburst closed time, or the channel open probability. Thus, the V127T and M137C mutations produced longer tau(o), shorter tauC1, and fewer openings per burst, whereas the G135F mutation had the opposite effect. All three mutations also reduced the single-channel conductance: from 70 pS for the wild-type channel to 62 pS (G135F), 50 pS (M137C), and 38 pS (V127T). These results are consistent with the idea that the K(ATP) channel possesses a gate that governs the intraburst kinetics, which lies close to the selectivity filter. This gate appears to be able to operate independently of that which regulates the long interburst closings.     

Molecular architecture and divalent cation activation of TvoK, a prokaryotic potassium channel

RCK (regulator of conductance of potassium) domains form a family of ligand-binding domains found in many prokaryotic K+ channels and transport proteins. Although many RCK domains contain an apparent nucleotide binding motif, some are known instead to bind Ca2+, which can then facilitate channel opening. Here we report on the molecular architecture and ligand activation properties of an RCK-containing potassium channel cloned from the prokaryote Thermoplasma volcanium. This channel, called TvoK, is of an apparent molecular mass and subunit composition that is consistent with the hetero-octameric configuration hypothesized for the related MthK (Methanobacterium thermoautotrophicum potassium) channel, in which four channel-tethered RCK domains coassemble with four soluble (untethered) RCK domains. The expression of soluble TvoK RCK subunits arises from an unconventional UUG start codon within the TvoK gene; silent mutagenesis of this alternative start codon abolishes expression of the soluble form of the TvoK RCK domain. Using single channel recording of purified, reconstituted TvoK, we found that the channel is activated by Ca2+ as well as Mg2+, Mn2+, and Ni2+. This non-selective divalent activation is in contrast with the activation properties of MthK, which is selectively activated by Ca2+. Transplantation of the TvoK RCK domain into MthK generates a channel that can be activated by Mg2+, illustrating that the Mg2+ binding site is likely contained within the RCK domain. We present a working hypothesis for TvoK gating in which the binding of either Ca2+ or Mg2+ can contribute approximately 5 kcal/mol toward stabilization of the open conformation of the channel.     

Calcium-dependent gating of MthK, a prokaryotic potassium channel

MthK is a calcium-gated, inwardly rectifying, prokaryotic potassium channel. Although little functional information is available for MthK, its high-resolution structure is used as a model for eukaryotic Ca(2+)-dependent potassium channels. Here we characterize in detail the main gating characteristics of MthK at the single-channel level with special focus on the mechanism of Ca(2+) activation. MthK has two distinct gating modes: slow gating affected mainly by Ca(2+) and fast gating affected by voltage. Millimolar Ca(2+) increases MthK open probability over 100-fold by mainly increasing the frequency of channel opening while leaving the opening durations unchanged. The Ca(2+) dose-response curve displays an unusually high Hill coefficient (n = approximately 8), suggesting strong coupling between Ca(2+) binding and channel opening. Depolarization affects both the fast gate by dramatically reducing the fast flickers, and to a lesser extent, the slow gate, by increasing MthK open probability. We were able to capture the mechanistic features of MthK with a modified MWC model.     

The pore helix is involved in stabilizing the open state of inwardly rectifying K+ channels

Ion channels can be gated by various extrinsic cues, such as voltage, pH, and second messengers. However, most ion channels display extrinsic cue-independent transitions as well. These events represent spontaneous conformational changes of the channel protein. The molecular basis for spontaneous gating and its relation to the mechanism by which channels undergo activation gating by extrinsic cue stimulation is not well understood. Here we show that the proximal pore helix of inwardly rectifying (Kir) channels is partially responsible for determining spontaneous gating characteristics, affecting the open state of the channel by stabilizing intraburst openings as well as the bursting state itself without affecting K(+) ion-channel interactions. The effect of the pore helix on the open state of the channel is qualitatively similar to that of two well-characterized mutations at the second transmembrane domain (TM2), which stabilize the channel in its activated state. However, the effects of the pore helix and the TM2 mutations on gating were additive and independent of each other. Moreover, in sharp contrast to the two TM2 mutations, the pore helix mutation did not affect the functionality of the agonist-responsive gate. Our results suggest that in Kir channels, the bottom of the pore helix and agonist-induced conformational transitions at the TM2 ultimately stabilize via different pathways the open conformation of the same gate.     

The contribution of RCK domains to human BK channel allosteric activation

Large conductance voltage- and Ca(2+)-activated K(+) (BK) channels are potent regulators of cellular processes including neuronal firing, synaptic transmission, cochlear hair cell tuning, insulin release, and smooth muscle tone. Their unique activation pathway relies on structurally distinct regulatory domains including one transmembrane voltage-sensing domain (VSD) and two intracellular high affinity Ca(2+)-sensing sites per subunit (located in the RCK1 and RCK2 domains). Four pairs of RCK1 and RCK2 domains form a Ca(2+)-sensing apparatus known as the "gating ring." The allosteric interplay between voltage- and Ca(2+)-sensing apparati is a fundamental mechanism of BK channel function. Using voltage-clamp fluorometry and UV photolysis of intracellular caged Ca(2+), we optically resolved VSD activation prompted by Ca(2+) binding to the gating ring. The sudden increase of intracellular Ca(2+) concentration ([Ca(2+)](i)) induced a hyperpolarizing shift in the voltage dependence of both channel opening and VSD activation, reported by a fluorophore labeling position 202, located in the upper side of the S4 transmembrane segment. The neutralization of the Ca(2+) sensor located in the RCK2 domain abolished the effect of [Ca(2+)](i) increase on the VSD rearrangements. On the other hand, the mutation of RCK1 residues involved in Ca(2+) sensing did not prevent the effect of Ca(2+) release on the VSD, revealing a functionally distinct interaction between RCK1 and RCK2 and the VSD. A statistical-mechanical model quantifies the complex thermodynamics interplay between Ca(2+) association in two distinct sites, voltage sensor activation, and BK channel opening.     

Hydrophobic interface between two regulators of K+ conductance domains critical for calcium-dependent activation of large conductance Ca2+-activated K+ channels

It has been suggested that the large conductance Ca(2)+-activated K(+) channel contains one or more domains known as regulators of K(+) conductance (RCK) in its cytosolic C terminus. Here, we show that the second RCK domain (RCK2) is functionally important and that it forms a heterodimer with RCK1 via a hydrophobic interface. Mutant channels lacking RCK2 are nonfunctional despite their tetramerization and surface expression. The hydrophobic residues that are expected to form an interface between RCK1 and RCK2, based on the crystal structure of the bacterial MthK channel, are well conserved, and the interactions of these residues were confirmed by mutant cycle analysis. The hydrophobic interaction appears to be critical for the Ca(2+)-dependent gating of the large conductance Ca(2+)-activated K(+) channel.     

Structural insights into the cytoplasmic domain of a human BK channel

The large conductance, voltage- and Ca(2+) -activated K(+) (BK or Slo1) channel is widely expressed in mammalian cells/tissues (i.e. neurons, skeletal and smooth muscles, exocrine cells, the inner ear) and regulates action potential firing, muscle contraction and secretion. The large ionic conductance and unusual, dual stimulus-driven gating behavior of this channel have long intrigued membrane biophysicists, and recent structure/function analyses have provided increasingly detailed insights into the molecular "bells and whistles" that regulate BK channel activity. Now, in two complementary articles published by the groups of Rod MacKinnon and Youxing Jiang, high resolution x-ray crystal structures of the human BK channel's large cytoplasmic domain have been solved in both the absence and presence of bound Ca(2+), conditions which would presumably promote the resting and activated conformations of this large domain. Given the regulatory importance of the cytosolic domain on BK channel gating, these experimentally determined structures reveal a number of key insights, including: 1) the physical arrangement and interactions of the tandem RCK1 and RCK2 domains within a single channel subunit, 2) the assembly of the four large cytoplasmic domains into a symmetric, tetrameric complex, 3) the formation of the channel's "gating ring" structure, based on the assembly of the individual RCK1 and 2 domains, and 4) the structural elements underlying the regions critical for divalent metal ion binding (i.e. Ca (2+) and Mg (2+)) and their potential influence on conduction pore.     

Allosteric mechanism of Ca2+ activation and H+-inhibited gating of the MthK K+ channel

MthK is a Ca²⁺-gated K⁺ channel whose activity is inhibited by cytoplasmic H⁺. To determine possible mechanisms underlying the channel’s proton sensitivity and the relation between H⁺ inhibition and Ca²⁺-dependent gating, we recorded current through MthK channels incorporated into planar lipid bilayers. Each bilayer recording was obtained at up to six different [Ca²⁺] (ranging from nominally 0 to 30 mM) at a given [H⁺], in which the solutions bathing the cytoplasmic side of the channels were changed via a perfusion system to ensure complete solution exchanges. We observed a steep relation between [Ca²⁺] and open probability (Po), with a mean Hill coefficient (n_H) of 9.9 ± 0.9. Neither the maximal Po (0.93 ± 0.005) nor n_H changed significantly as a function of [H⁺] over pH ranging from 6.5 to 9.0. In addition, MthK channel activation in the nominal absence of Ca²⁺ was not H⁺ sensitive over pH ranging from 7.3 to 9.0. However, increasing [H⁺] raised the EC₅₀ for Ca²⁺ activation by ∼4.7-fold per tenfold increase in [H⁺], displaying a linear relation between log(EC₅₀) and log([H⁺]) (i.e., pH) over pH ranging from 6.5 to 9.0. Collectively, these results suggest that H⁺ binding does not directly modulate either the channel’s closed–open equilibrium or the allosteric coupling between Ca²⁺ binding and channel opening. We can account for the Ca²⁺ activation and proton sensitivity of MthK gating quantitatively by assuming that Ca²⁺ allosterically activates MthK, whereas H⁺ opposes activation by destabilizing the binding of Ca²⁺.     

Modulation of MthK potassium channel activity at the intracellular entrance to the pore

We used a bacterial complementation screen with the LB2003 K(+) uptake-deficient strain of Escherichia coli to analyze residues that are critical to Methanobacterium thermoautotrophicum potassium channel (MthK) function. Channel expression and relative structural integrity of mutants were analyzed by SDS-PAGE and Western blot, and mechanisms underlying altered mutant channel function were analyzed using single-channel recording. We observed that wild-type MthK expression complements K(+) uptake deficiency. Although MthK function was previously thought to require Ca(2+) in the millimolar range, we demonstrate that at elevated temperatures the requirement for Ca(2+) becomes much lower. Mutations at the cytoplasmic mouth of the MthK pore can blunt complementation, indicating that those mutant channels cannot support K(+) uptake. In contrast, substitutions at the Ca(2+)-binding site in the MthK RCK domain did not decrease complementation compared with wild-type MthK. We focused on mutations to residues Glu-92 and Glu-96, which may form the narrowest part of the pore in the channel's closed state. Mutations at these residues can yield slight changes in single-channel conductance that do not necessarily correlate with effects on bacterial complementation. However, mutations at Glu-92 could also change channel open probability, and these changes correlated with complementation effects. The most striking of these mutations was E92A, which nearly eliminated bacterial complementation by decreasing the open probability of MthK. Our results suggest that the small, hydrophobic alanine side chain at the K(+) channel bundle crossing may generate an intrinsically stable structure, which in turn shifts the closed-to-open-state equilibrium toward the closed state.     

Structure of the RCK domain from the E. coli K+ channel and demonstration of its presence in the human BK channel

The intracellular C-terminal domain structure of a six-transmembrane K+ channel from Escherichia coli has been solved by X-ray crystallography at 2.4 A resolution. The structure is representative of a broad class of domains/proteins that regulate the conductance of K+ (here referred to as RCK domains) in prokaryotic K+ transporters and K+ channels. The RCK domain has a Rossmann-fold topology with unique positions, not commonly conserved among Rossmann-fold proteins, composing a well-conserved salt bridge and a hydrophobic dimer interface. Structure-based amino acid sequence alignments and mutational analysis are used to demonstrate that an RCK domain is also present and is an important component of the gating machinery in eukaryotic large-conductance Ca2+ activated K+ channels.     

Fine gating properties of channels responsible for persistent sodium current generation in entorhinal cortex neurons

The gating properties of channels responsible for the generation of persistent Na(+) current (I(NaP)) in entorhinal cortex layer II principal neurons were investigated by performing cell-attached, patch-clamp experiments in acutely isolated cells. Voltage-gated Na(+)-channel activity was routinely elicited by applying 500-ms depolarizing test pulses positive to -60 mV from a holding potential of -100 mV. The channel activity underlying I(NaP) consisted of prolonged and frequently delayed bursts during which repetitive openings were separated by short closings. The mean duration of openings within bursts was strongly voltage dependent, and increased by e times per every approximately 12 mV of depolarization. On the other hand, intraburst closed times showed no major voltage dependence. The mean duration of burst events was also relatively voltage insensitive. The analysis of burst-duration frequency distribution returned two major, relatively voltage-independent time constants of approximately 28 and approximately 190 ms. The probability of burst openings to occur also appeared largely voltage independent. Because of the above "persistent" Na(+)-channel properties, the voltage dependence of the conductance underlying whole-cell I(NaP) turned out to be largely the consequence of the pronounced voltage dependence of intraburst open times. On the other hand, some kinetic properties of the macroscopic I(NaP), and in particular the fast and intermediate I(NaP)-decay components observed during step depolarizations, were found to largely reflect mean burst duration of the underlying channel openings. A further I(NaP) decay process, namely slow inactivation, was paralleled instead by a progressive increase of interburst closed times during the application of long-lasting (i.e., 20 s) depolarizing pulses. In addition, long-lasting depolarizations also promoted a channel gating modality characterized by shorter burst durations than normally seen using 500-ms test pulses, with a predominant burst-duration time constant of approximately 5-6 ms. The above data, therefore, provide a detailed picture of the single-channel bases of I(NaP) voltage-dependent and kinetic properties in entorhinal cortex layer II neurons.     

The beta subunit increases the Ca2+ sensitivity of large conductance Ca2+-activated potassium channels by retaining the gating in the bursting states

Coexpression of the beta subunit (KV,Cabeta) with the alpha subunit of mammalian large conductance Ca2+- activated K+ (BK) channels greatly increases the apparent Ca2+ sensitivity of the channel. Using single-channel analysis to investigate the mechanism for this increase, we found that the beta subunit increased open probability (Po) by increasing burst duration 20-100-fold, while having little effect on the durations of the gaps (closed intervals) between bursts or on the numbers of detected open and closed states entered during gating. The effect of the beta subunit was not equivalent to raising intracellular Ca2+ in the absence of the beta subunit, suggesting that the beta subunit does not act by increasing all the Ca2+ binding rates proportionally. The beta subunit also inhibited transitions to subconductance levels. It is the retention of the BK channel in the bursting states by the beta subunit that increases the apparent Ca2+ sensitivity of the channel. In the presence of the beta subunit, each burst of openings is greatly amplified in duration through increases in both the numbers of openings per burst and in the mean open times. Native BK channels from cultured rat skeletal muscle were found to have bursting kinetics similar to channels expressed from alpha subunits alone.     

Ca2+-dependent control of the permeability properties of the mitochondrial outer membrane and voltage-dependent anion-selective channel (VDAC)

Cell function depends on the distribution of cytosolic and mitochondrial factors across the outer mitochondrial membrane (OMM). Passage of metabolites through the OMM has been attributed to the voltage-dependent anion-selective channel (VDAC), which can form a large conductance and permanently open a channel in lipid bilayers. However, recent data indicate that the transport of metabolites through the OMM is controlled in the cells. Recognizing that the bilayer studies had been commonly conducted at supraphysiological [Ca2+] and [K+], we determined the effect of Ca2+ on VDAC activity. In liposomes, the purified VDAC displays Ca2+-dependent control of the molecular cut-off size and shows Ca2+-regulated Ca2+ permeability in the physiological [Ca2+] range. In bilayer experiments, at submicromolar [Ca2+], the purified VDAC or isolated OMM does not show sustained large conductance but rather exhibits gating between a nonconducting state and various subconductance states. Ca2+ addition causes a reversible increase in the conductance and may evoke channel opening to full conductance. Furthermore, single cell imaging data indicate that Ca2+ may facilitate the cation and ATP transport across the OMM. Thus, the VDAC gating is dependent on the physiological concentrations of cations, allowing the OMM to control the passage of ions and some small molecules. The OMM barrier is likely to decrease during the calcium signal.     

Effects of membrane surface charge and calcium on the gating of rat brain sodium channels in planar bilayers [published erratum appears in J Gen Physiol 1989 Apr;93(4):following 760]

The voltage-dependent gating of single, batrachotoxin-activated Na channels from rat brain was studied in planar lipid bilayers composed of negatively charged or neutral phospholipids. The relationship between the probability of finding the Na channel in the open state and the membrane potential (Po vs. Vm) was determined in symmetrical NaCl, both in the absence of free Ca2+ and after the addition of Ca2+ to the extracellular side of the channel, the intracellular side, or both. In the absence of Ca2+, neither the midpoint (V0.5) of the Po vs. Vm relation, nor the steepness of the gating curve, was affected by the charge on the bilayer lipid. The addition of 7.5 mM Ca2+ to the external side caused a depolarizing shift in V0.5. This depolarizing shift was approximately 17 mV in neutral bilayers and approximately 25 mV in negatively charged bilayers. The addition of the same concentration of Ca2+ to only the intracellular side caused hyperpolarizing shifts in V0.5 of approximately 7 mV (neutral bilayers) and approximately 14 mV (negatively charged bilayers). The symmetrical addition of Ca2+ caused a small depolarizing shift in Po vs. Vm. We conclude that: (a) the Na channel protein possesses negatively charged groups on both its inner and outer surfaces. Charges on both surfaces affect channel gating but those on the outer surface exert a stronger influence. (b) Negative surface charges on the membrane phospholipid are close enough to the channel's gating machinery to substantially affect its operation. Charges on the inner and outer surfaces of the membrane lipid affect gating symmetrically. (c) Effects on steady-state Na channel activation are consistent with a simple superposition of contributions to the local electrostatic potential from charges on the channel protein and the membrane lipid.     

Linker-gating ring complex as passive spring and Ca(2+)-dependent machine for a voltage- and Ca(2+)-activated potassium channel

Ion channels are proteins that control the flux of ions across cell membranes by opening and closing (gating) their pores. It has been proposed that channels gated by internal agonists have an intracellular gating ring that extracts free energy from agonist binding to open the gates using linkers that directly connect the gating ring to the gates. Here we find for a voltage- and Ca(2+)-activated K+ (BK) channel that shortening the linkers increases channel activity and lengthening the linkers decreases channel activity, both in the presence and absence of intracellular Ca2+. These observations are consistent with a mechanical model in which the linker-gating ring complex forms a passive spring that applies force to the gates in the absence of Ca2+ to modulate the voltage-dependent gating. Adding Ca2+ then changes the force to further activate the channel. Both the passive and Ca(2+)-induced forces contribute to the gating of the channel.