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Vol. 50, Issue 4, 723-757, December 1998

G Protein Regulation of Potassium Ion Channels

Mitsuhiko Yamadaa, Atsushi Inanobe and Yoshihisa Kurachib

Department of Pharmacology II, Faculty of Medicine, Osaka University, Osaka, Japan

I. Introduction
II. Functional Analysis of G Protein-Mediated Activation of Muscarinic K+ Channels in Cardiac Atrial Myocytes
    A. Time-Dependent Response of the Whole-Cell Muscarinic K+ Current to Acetylcholine
        1. The G protein cyclic reaction mediating the receptor-to-channel signal transmission.
        2. Activation phase.
        3. The phase of short-term desensitization.
        4. Deactivation of the response of the muscarinic K+ channel.
    B. Quantitative Analysis of G Protein-Mediated Activation of the Muscarinic K+ Channel
        1. Single-channel characteristics of the muscarinic K+ channel.
        2. Positive cooperative effect of GTP on muscarinic K+ channel activity.
        3. Spectral analysis of the muscarinic K+ channel currents in the presence of different concentrations of intracellular GTP.
        4. A possible mechanism for the G protein-mediated increase in the functional numbers of muscarinic K+ channels.
    C. Modulation of G Protein-Mediated Activation of the Muscarinic K+ Channel
III. Molecular Analysis of G Protein-Gated K+ Channels
    A. Cloning of Inwardly Rectifying K+ Channels
    B. Subunits of G Protein-Gated K+ Channels
    C. Tissue Distribution of GIRK Subunits
        1. Peripheral tissues.
        2. Central nervous system.
    D. Expression of G Protein-Gated K+ Channels
    E. Tetrameric Structure
    F. Molecular Mechanism Underlying G Protein Activation of G Protein-Gated K+ Channels
        1. Interaction between G protein beta gamma subunits and subunits of G protein-gated K+ channels.
        2. Mechanism underlying G protein beta gamma subunitinduced activation of G protein-gated K+ channels.
        3. Interaction between subunits of G protein-gated K+ channels, Galpha proteins, and membrane agonist receptors.
        4. Possible mechanisms underlying specific signal transduction in the receptor/G protein/G protein-gated K+ channel system.
IV. Voltage-Dependent Properties of G Protein-Gated K+ Channels
    A. Inwardly-Rectifying K+ Channels
        1. Voltage-dependent change in inwardly rectifying K+ channel activity.
        2. Mg2+ and polyamine block.
        3. Mg2+/polyamine block sites in the inwardly rectifying K+ channel pore.
    B. Inward Rectification of G Protein-Gated K+ Channels
        1. Inward rectification of the muscarinic K+ channel.
        2. Mg2+/polyamine block of G protein-gated K+ channels.
        3. The Mg2+/polyamine-binding sites in G protein-gated K+ channels.
        4. Slow relaxation of G protein-gated K+ channels containing GIRK1.
V. Pharmacological Properties of G Protein-Gated K+ Channels
VI. Localization of the G Protein-Gated K+ Channel in Different Organs
    A. Cardiac Atrial Myocytes
    B. Neurons
        1. Differential cellular and subcellular distribution of GIRK subunits.
        2. Functional significance of differential subcellular distribution of GIRK subunits.
    C. Endocrine Cells
VII. Weaver Mutant Mice and the GIRK2 Gene
VIII. Conclusions
Acknowledgments
References

    I. Introduction
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Upon stimulation of vagal nerves, acetylcholine (ACh)c is released from axonal terminals and decelerates the heart beat. This historic discovery by Otto Loewi in the 1920s established the concept of chemical synaptic transmission (Loewi, 1921; Loewi and Navaratil, 1926). Since then, many physiologists have been trying to elucidate the mechanism(s) underlying neurotransmitter (Vagusstoff)-induced bradycardia. Del Castillo and Katz (1955) first described hyperpolarization of the membrane induced by ACh in frog heart. Hutter and Trautwein (1955) measured an increase of K+ efflux across the cardiac cell membrane with vagal stimulation. Trautwein and Dudel (1958) showed an increase of K+ conductance under voltage-clamp conditions. Trautwein and colleagues analyzed the kinetics of the ACh-induced K+ current in the rabbit sinoatrial node and proposed that ACh induces activation of a specific population of K+ channels, named muscarinic K+ (KACh) channels, to decelerate pacemaker activity (Noma and Trautwein, 1978; Osterrieder et al., 1981). The single channel currents of the KACh channels were recorded for the first time by Sakmann et al. (1983), who showed that the channel exhibited kinetic properties that clearly differed from those of the background inwardly rectifying K+ (IK1) channel in cardiac myocytes.

The next big step was the discovery that pertussis toxin (PTX)-sensitive heterotrimeric G proteins are involved in the activation of the KACh channel by M2-muscarinic and A1 adenosine receptors (Pfaffinger et al., 1985; Breitwieser and Szabo, 1985; Kurachi et al., 1986a and b). Because the KACh channel could be activated by intracellular guanosine 5'-triphosphate (GTP) (in the presence of agonists) and GTPgamma S (even in the absence of agonists) in cell-free inside-out patches, the system seemed to be delimited to the cell membrane, which led to the proposal that the channel is directly activated by G proteins (Kurachi et al., 1986a,b,c). The G protein responsible for activation of the KACh channel was designated GK according to its function (Breitwieser and Szabo, 1985).

It was quite a surprise that the beta gamma subunit (Gbeta gamma ) but not the alpha  subunit (Galpha ) of the GK protein, was proposed to mediate the GK-induced activation of KACh channels (Logothetis et al., 1987, 1988; Kurachi et al, 1989a), because it was strongly believed at that time that regulation of different effectors by G proteins was mediated only by Galpha , although Gbeta gamma merely served to bind to the GDP-form of Galpha (Galpha -GDP) to anchor the trimeric G protein to the cell membrane (Gilman, 1987). Actually, Brown, Birnbaumer, and their colleagues proposed GKalpha and not GKbeta gamma as the physiological activator of KACh channels (Yatani et al., 1987, 1988; Codina et al., 1987; for review see Brown and Birnbaumer, 1990). The dispute concerning the G protein subunit responsible for the physiological activation of KACh channels continued for nearly a decade (Ito et al., 1992; Yamada et al., 1993, 1994a,b; Nanavati et al., 1990; Kurachi, 1989, 1990, 1993, 1994, 1995; Kurachi et al., 1992; Clapham and Neer, 1993; Wickman and Clapham, 1995) until the functional interaction between the channel and Gbeta gamma was shown at the molecular level with cloned G protein-gated K+ (KG) channel and/or G protein subunits (Kubo et al., 1993b; Dascal et al., 1993; Wickman et al., 1994; Reuveny et al., 1994; Krapivinsky et al., 1995a; Inanobe et al., 1995b). Now it is established that GKbeta gamma is the physiological activator of KG channels not only in cardiac myocytes, but also in neurons and endocrine cells. Recently, it was indicated that G protein-inhibition of neuronal Ca2+ channels is also mediated by Gbeta gamma and not by Galpha (Herlitze et al., 1996; Ikeda, 1996). Efforts are now being made to elucidate the molecular mechanisms underlying Gbeta gamma -control of KG and N-type Ca2+ channels.

The importance of the G protein-activation of KG channel system in receptor-mediated regulation of cell responses is now more widely appreciated than before because a wide variety of membrane receptors, such as M2-muscarinic, A1 adenosine, alpha 2-adrenergic, D2 dopamine, µ-, delta -, and kappa -opioid, 5-HT1A serotonin, somatostatin, galanin, m-Glu, GABAB, and sphingosine-1phosphate receptors, have been shown to use this system in inhibiting cell excitation in various organs (North et al., 1987; Lacey et al., 1988; Hille, 1992a; Grudt and Williams, 1993; Oh et al., 1995; Saugstad et al., 1996; Sharon et al., 1997; Bünemann et al., 1995; Koppen et al., 1996). In this review, we will first summarize ACh-activation of cardiac KACh channels, the prototype of this system, and then recent progress in molecular dissection of the KG channel system.

    II. Functional Analysis of G Protein-Mediated Activation of Muscarinic K+ Channels in Cardiac Atrial Myocytes
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A. Time-Dependent Response of the Whole-Cell Muscarinic K+ Current to Acetylcholine

ACh added to the extracellular solution elicits a KACh channel current in cardiac atrial myocytes (fig. 1). The activation time-course is sigmoidal and takes several hundred milliseconds to reach a peak (Breitwieser and Szabo, 1988). Thereafter, the evoked current gradually decreases to a quasi-steady-state level within 1 min in the presence of high concentrations of ACh (> 0.3 µM). This reduction of cell K+ current in the continuous presence of ACh is called "short-term" desensitization (Kurachi et al., 1987b). After wash-out of the agonist, the current disappears within several seconds (deactivation). It is worth noting that in the inside-out patch configuration of the patch-clamp method, one measures KACh channel activity only in the steady-state phase. Thus, in these experiments, limited information is available regarding the desensitization of the channel.


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Fig. 1.   Time-dependent response of the whole-cell muscarinic K+ channel current to acetylcholine. By using the whole-cell voltage clamp method of the patch-clamp technique, the response of the whole-cell current of a guinea-pig atrial myocyte to 11 µM acetylcholine (ACh) was measured. In the presence of normal Tyrode solution that contained 5.4 mM external K+, the cell membrane potential was clamped at -53 mV. The patch pipette contained (in mM): 150 KCl, 2 MgCl2, 5 EGTA, 5 HEPES, and 0.1 GTP (pH = 7.3). ACh was applied to the bath for the period indicated by the horizontal bar above the cell membrane current trace. An arrowhead indicates the zero current level. An upward deflection of the cell current record indicated an outwardly directed cell membrane current that would be carried by the movement of K+ ions under these circumstances.

These three phases of the response involve interactions between an agonist (i.e., ACh), an M2-muscarinic receptor, a PTX-sensitive G protein, and the KACh channel. Therefore, to understand the reaction of the KACh channel to ACh, it is necessary to know how the receptor-generated signal is transferred to the channel through the G protein and how this signal transmission might be modulated by other factors interacting with these different reactions.

1. The G protein cyclic reaction mediating the receptor-to-channel signal transmission. Activation of KACh channel induced by M2-muscarinic receptor stimulation is mediated by a heterotrimeric G protein (GK) (fig. 2). The heterotrimeric G proteins are membrane-bound proteins which transduce signals from receptors to effectors such as adenylyl cyclase, phospholipase C, the KACh channel, and other ion channels (Gilman, 1987). These proteins are composed of alpha , beta , and gamma  subunits (Galpha , Gbeta , and Ggamma , respectively). Up to now, at least 16 Galpha , 5 Gbeta , and 11 Ggamma genes have been identified (Bourne, 1997). Heterotrimeric G proteins interact with receptors through Galpha . It is well known that the interaction between M2-muscarinic receptors and GKalpha is blocked by the toxin from Bordetella pertussis (PTX) (Ui, 1984; Kurose et al., 1986). PTX modifies covalently a cysteine residue at the carboxyl-terminal end of Galpha subunits belonging to Gi, Go, and Gt families by transferring an ADP-ribose group from the nicotinamide adenine dinucleotide moiety to the cysteine residue (Gilman, 1987). Because the receptor-mediated activation of KG channels in cardiac atrial myocytes and neurons are inhibited by PTX (Pfaffinger et al., 1985; Kurachi et al., 1986a), GK seems to belong to one of these G protein families. However, its molecular identity has not been fully elucidated, although GK is proposed to be a member of the Gi class of G proteins in some systems (Kozasa et al., 1996; Takano et al., 1997)


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Fig. 2.   Schematic representation of the G protein cycle involved in the activation of the muscarinic K+ channel in response to acetylcholine.

The following is the current understanding of the interaction among receptors, G proteins, and KACh channels. In the absence of agonists, most of Galpha is in the GDP-bound form (Galpha - GDP) (fig. 2). Galpha -GDP has high affinity for Gbeta gamma , thereby forming a heterotrimer with Gbeta gamma (Gilman, 1987). A small fraction of Galpha does release GDP even in the absence of agonists, and in turn binds GTP (GDP/GTP exchange) and becomes a GTP-bound form (Galpha -GTP). Receptor stimulation substantially increases the GDP dissociation rate, which results in marked acceleration of the GDP/GTP exchange reaction. Formation of Galpha -GTP leads to dissociation of Gbeta gamma from Galpha . The dissociated Gbeta gamma , which is always a dimer under physiological conditions, interacts with the KACh channel to activate the channel. Besides the KACh channel, many effectors of G proteins have been known to be regulated by Gbeta gamma (table 1) (Clapham and Neer, 1993; Iñiguez-Lluhi et al., 1993).

                              
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TABLE 1
G protein effectors regulated by G protein beta gamma subunits

Galpha has a slow intrinsic GTPase activity: its Kcat value is typically 1 to 5/min (Gilman, 1987). Galpha , therefore, hydrolyses the GTP on its own molecule to GDP, thereby returning to the GDP-bound form and re-associating with Gbeta gamma . This reaction terminates the effector activation. In the continuous presence of agonists, the heterotrimeric G protein restarts the cyclic reaction by interacting with an agonist-bound receptor.

2. Activation phase. The time to peak of the ACh-induced response of the KACh channel is dependent on ACh concentration: the higher the concentration of ACh, the faster the activation. In the presence of a maximum effective concentration of ACh, the time to peak is several hundred milliseconds. If the M2-muscarinic receptor, GK, and the KACh channel encountered by simple diffusion in the membrane, the response time requires that all these signaling molecules be within less than 1.5 µm of each other (Hille, 1992a). The molecular mechanism satisfying such a topological requirement has not been clearly identified. However, it was recently suggested that KACh channel subunits may directly interact with not only GKbeta gamma but also GKalpha , trimeric GK, and the receptor and thereby might form a complex with these proteins (Huang et al., 1995; Slesinger et al., 1995) (detailed in the Sections III.F.3. and 4.).

When a recombinant KG channel corresponding to the KACh channel is expressed with M2-muscarinic receptors in Xenopus oocytes, the time course of the activation is much slower than in native atrial myocytes (Krapivinsky et al., 1995a). It was recently demonstrated that newly identified molecules known as regulators of G protein signaling proteins (RGS) serve to increase the activation rate of recombinant KG channels expressed in oocytes and a mammalian cell line (Doupnik et al., 1997; Saitoh et al., 1997). RGS proteins are the members of a multigene family that enhance the intrinsic GTPase activity of certain G proteins (mainly Gi/Go classes) probably by preferentially binding to and stabilizing G proteins in their transition state for the hydrolysis reaction (Koelle, 1997). Sixteen RGS homologues (RGS1-16) have been identified in mammals. Among them, RGS1, RGS3, RGS4, and RGS8 have been shown to shorten the time to peak of receptor-mediated activation of KG channels (Doupnik et al., 1997; Saitoh et al., 1997). Enhancement of the GTPase activity by RGS proteins leads to an increase in the off-rate of the G protein-mediated reaction (Koelle, 1997) (fig. 2). This effect, at least in theory, could abbreviate the time to peak when the on-rate of the reaction is not altered by the protein (Doupnik et al., 1997; Saitoh et al., 1997). In this case, the steady state KG channel activity should be decreased in the presence of a given concentration of an agonist. However, RGS proteins enhance the activation rate without changing the amplitude of the steady-state response in the KG channel systems (Doupnik et al., 1997; Saitoh et al., 1997). One possible explanation of this phenomenon is that RGS proteins may also enhance the GDP/GTP exchange rate of GK. However, this could not be confirmed at least in an in vitro system that lacked reconstituted receptor proteins (Saitoh et al., 1997). It is still possible that RGS proteins might increase the on-rate of the GK-mediated reaction only in the presence of receptors or, alternatively, accelerate the subunit dissociation of GK. Further studies are necessary to identify the mechanism by which the RGS proteins accelerate the agonist-mediated KG channel activation without affecting the steady-state response.

3. The phase of short-term desensitization. Short-term desensitization becomes more prominent as the concentration of ACh is increased above 0.3 µM (Kurachi et al., 1987b). This may at least partly arise from the transition of M2-muscarinic receptors from the high to low affinity-binding state due to dissociation of GK from receptors after agonist application (Gilman, 1987). Recent studies demonstrated that heterologous coexpression of RGS proteins with M2-receptors and recombinant KG channels reestablishes the short-term desensitization, which normally cannot be seen in the absence of RGS proteins in the reconstituted system (Doupnik et al., 1997). Therefore, this protein may also be one of the molecules responsible for the short-term desensitization of the KG channel system. Other possible candidates for the short-term desensitization include phosphorylation of M2-muscarinic receptors by beta -adrenergic receptor kinase (beta ARK), dephosphorylation of KACh channels and functional modulation of G proteins.

It is, however, unlikely that the phosphorylation of M2-muscarinic receptors by beta ARK is responsible for the short time desensitization because receptor phosphorylation occurs much slower than the desensitization (Kwatra and Hosey, 1986; Kwatra et al., 1987), and the kinase inhibitor (heparin) does not affect the desensitization time course (Mubagwa et al., 1994). However, the receptor phosphorylation by beta ARK may underlie the slow desensitization of KACh channels which occurs in an order of minutes (Shui et al., 1995).

As mentioned in Section II.A., single-channel recording techniques provide only limited information about the time course of channel's response to an extracellular ligand. This is due to the presence of agonists in the pipette solution which is going to be in contact with the cell membrane for a certain amount of time before the "giga-seal" will be formed. In most experiments therefore, short-term desensitization would have been achieved to some extent before single-channel events can be recorded. Under the conditions where a "giga-seal" could form exceptionally very rapidly, Kim (1990 and 1991) showed that the open time of KACh channels was ~5 msec at the beginning of the cell-attached patch recording and gradually decreased to ~1 msec with time. Such time-dependent reduction of the channel open time might correspond to short-term desensitization. Kim (1990 and 1991) attributed this phenomenon to "dephosphorylation" of the KACh channels in the presence of high concentrations of ACh although there is no direct evidence for phosphorylation or dephosphorylation of the channel protein. However, the open time of KACh channels in the presence of low concentrations of ACh or even in the absence of the agonist under steady state conditions is also ~1 msec. A possibility remains that different populations of KACh channels might be activated by low and high concentrations of ACh. A population with long open times might be less sensitive to G protein-activation due to "phosphorylation" and thus activated only by high concentrations of ACh. The "dephosphorylation" of these channels in the presence of high concentrations of ACh may then cause shortening of the open time, resulting in the decrease of the whole-cell current. The KACh channels with the short open time of ~1 msec may be dephosphorylated and more sensitive to G protein activation. In the presence of nondesensitizing concentrations of ACh, therefore, the KACh channels with short open time would be activated preferentially. Consistent with this hypothesis, we have observed that where we had thought to have already maximally activated KACh channels with exogenously applied Gbeta gamma subunits, the addition of mM intracellular ATP enhanced channel activity by prolonging open time (Yamada M and Kurachi Y, unpublished observation).

Huang et al. (1998) recently reported that exogenously applied phosphatidylinositol 4,5-bisphosphate (PIP2) increased the sensitivity of recombinant KG channels to Gbeta gamma in inside-out patch membranes of Xenopus oocytes. Because activation of M2-muscarinic receptors in atrial cardiac myocytes induces the phosphoinositide turnover (Quist, 1982), the resultant decrease in PIP2 content in the membrane might cause the short-term desensitization. Huang et al. (1998) also showed that intracellular ATP activated the recombinant KG channels by increasing PIP2 contents in the membrane. Therefore, the ATP-induced elongation of the open time of KACh channels might be caused by an increase in PIP2 contents in the membrane.

4. Deactivation of the response of the muscarinic K+ channel. The ACh-induced K+ current disappears quickly when the agonist is washed out from the extracellular solution (fig. 1). The rate of deactivation of the whole-cell KACh channel current was estimated as ~30 to 200/min, which is much more rapid than either the GTP hydrolysis rate of G proteins (~1 to 5/min) or the rate of dissociation of Gbeta gamma from KG channel subunits (~0.01/min) estimated in vitro (Breitwieser and Szabo, 1988; Nakajima et al., 1992; Gilman, 1987; Doupnik et al., 1997; Krapivinsky et al., 1995c). This discrepancy might in part be attributed to positive cooperativity in the interaction between the channel and GKbeta gamma that will be described in the Section II.B.2., where even a slight decrease in free GKbeta gamma concentration in the membrane should cause a larger reduction of the channel activity.

The deactivation of KG channels heterologously expressed in Xenopus oocytes occurs much more slowly than that of the native channel (Dascal et al., 1993; Slesinger et al., 1995). Again, RGS proteins have been found to enhance the deactivation rate of recombinant KG channels approximately to the value of the native KACh channel (Doupnik et al., 1997; Saitoh et al., 1997). This effect of RGS proteins can be explained in terms of their increasing the GTPase activity of Gi/Go proteins (Koelle, 1997). Therefore, RGS proteins accelerate both activation and deactivation rates of KG channel systems and thus enable the systems to faithfully follow such a train of brief increases in agonist concentration as occurs in synaptic signal transmission (Doupnik et al., 1997).

In the presence of the same concentration of ACh, the apparent potency of GTP in activating the KACh channel in excised membrane patches differ depending on the intracellular anion species (Nakajima et al., 1992). The apparent potency of GTP decreases in the order: Cl- > Br- > I- > SO4- or aspartate. Because the potency of the nonhydrolyzable GTP analogue, GTPgamma S is not affected by intracellular anion species, the GTPase activity of GK seems to be modulated by intracellular anions. These effects of intracellular anions need to be taken into consideration because in most studies the internal side of the inside-out patch membrane is perfused with solution containing a much higher concentration of Cl- than that in the cytosol of most cells.

One related issue to be discussed here is the basal activity of the KG channel system that is observed in the absence of agonists. The native KACh channel exhibits much smaller basal activity relative to the agonistinduced maximum activity than heterologously expressed recombinant KG channels (Kurachi, 1990; Kubo et al., 1993b; Dascal et al., 1993). RGS proteins significantly reduce the basal activity of recombinant KG channels probably by activating GTPase of GK (Doupnik et al., 1997).

B. Quantitative Analysis of G Protein-Mediated Activation of the Muscarinic K+ Channel

The unique feature of the KG channel is the increase in channel activity in response to GK activation. This response is mediated by interaction between GKbeta gamma and a KG channel. How they interact with each other and how the interaction leads to channel activation are intriguing questions.

The mechanism of GKbeta gamma /KG channel interaction has been mainly investigated in the KACh channel with inside-out patch membranes of cardiac atrial myocytes because in this system it is relatively easy to obtain many KG channels that will respond to guanine nucleotides and G protein subunits applied to the internal side of the patch membranes. One can then directly analyze the membrane-delimited activation of the KG channel by GK in detail. In the following, we discuss the results obtained from such studies. We first describe the single-channel characteristics of the KACh channel and then go into the detail of the quantitative analysis of the GK/KACh channel interaction.

1. Single-channel characteristics of the muscarinic K+ channel. Fig. 3A shows single-channel recording of the KACh channel obtained from a cell-attached membrane of a guinea-pig atrial myocyte (Kurachi et al., 1986a). In general, K+ ions flow through K+ channels depending on the electrochemical gradient for K+ ions across the plasma membrane. This gradient is the difference between the membrane potential (Vm) and the K+ equilibrium potential (EK): Vm - EK. The single-channel current flowing through a K+-selective channel can be described as follows:
i=&ggr; ∗ (V<SUB>m</SUB>−E<SUB>K</SUB>) (1)
where i is the single-channel current amplitude, and gamma  is the single-channel conductance of the channel. The current is positive (outwardly flowing across the membrane) at Vm positive to EK, although it is negative (inwardly flowing) at Vm negative to EK.


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Fig. 3.   Single-channel properties of the muscarinic K+ channel. A: Cell-attached recordings of muscarinic K+ channel currents from a single guinea pig atrial myocyte at different membrane potentials. The patch pipette contained 150 mM K+ and 5.5 µM acetylcholine, although K+ concentration in the bath was 5.4 mM. The resting membrane potential (Er) of the cell was -52 mV. Membrane potentials are indicated to the left of each trace as the difference from Er. Arrowheads indicate the zero current level. Downward reflection of the current record represent ion current passing inwards into the cell from the pipette. Upward deflections represent passing from the cell outwards into the pipette. B: The single-channel current-voltage relationship of the muscarinic K+ channel shown in A. The line was fitted to the data by eye, and the single channel conductance was 46 pS at potentials between Er -60 and Er +40 mV. C: Open time histogram of the muscarinic K+ channel at Er. The line is the fit of the data with a single exponential curve with a time constant of 1.35 msec. [Modified from Kurachi et al. (1986a)].

Under the conditions of the experiment shown in fig. 3A, the cell had a resting membrane potential (Er) of ~-60 mV, although EK across the patch membrane was ~0 mV. Therefore, the ACh-activated KACh channel elicited inward K+ currents at potentials negative to Er + 60 mV (i.e., Vm < EK) and outward currents at potentials positive to Er + 60 mV (fig. 3A). The outward currents were, however, very small compared with the inward currents at the corresponding potential relative to EK (compare the data at Er + 100 mV and Er + 20 mV). Thus, the KACh channel current readily flowed in the inward but not the outward direction. This occurs because intracellular Mg2+ (Mg2+i) blocks the channel at the depolarized potentials (Horie et al, 1987 and 1989). Such a property is called "inward rectification," and the K+ channels with this property are collectively termed as "inwardly rectifying" K+ (Kir) channels. All known KG channels including the KACh channel belong to this category.

The gamma  of the KACh channel estimated at Vm negative to EK is ~40 pS in the presence of 145 mM extracellular K+ (K+o) (fig. 3B). Based on the constant field theory, the permeability of K+ through a single KACh channel has been estimated to be of the order of 10-13 cm3 sec-1, a value comparable to that of the IK1 channel or the axonal delayed rectifier K+ channel (Sakmann et al., 1983; Sakmann and Trube, 1984a; Conti and Neher, 1980). Because gamma  increases approximately in proportion to the square root of the concentration of K+o ([K+]o) (Sakmann et al., 1983), as is the case for the other types of Kir channels (Sakmann and Trube, 1984a), the gamma  is estimated as ~8 pS at physiological [K+]o.

The mean open time of the KACh channel at potentials negative to EK is ~1 msec (fig. 3C), which is several orders of magnitude shorter than that of the IK1 channel (Sakmann and Trube, 1984b). The open time histogram sometimes reveals less frequent opening with a longer open time. This component has been reported to appear more frequently when the internal side of inside-out patch membranes is treated with MgATP (Kim, 1990, 1991). The closed time distribution is composed of at least two distinct components with mean closed times of ~1 and 100 msec (Sakmann et al., 1983). There are also distinct, very long closed events that cannot be reliably analyzed in single-channel recordings (Sakmann et al., 1983; Hosoya et al., 1996). Analysis of burst behavior indicates that the KACh channel opens in bursts with a mean duration of 11 msec and consisting on average of ~5 channel openings separated by short closed events (Sakmann et al., 1983). However, the majority of the KACh channel opening is solitary events separated by very short intervals of ~1 msec on average (Sakmann et al., 1983). Overall, the burst behavior of KACh channel is not as evident as that of the IK1 channel.

2. Positive cooperative effect of GTP on muscarinic K+ channel activity. Activation of KACh channels by intracellular GTP (GTPi) can be reproduced in inside-out patch membranes of atrial myocytes in the presence of ACh in the pipette (Kurachi et al., 1986a, 1990; Ito et al., 1991). Fig. 4 shows the concentration-dependent effect of GTPi in the presence of different concentrations of ACh.


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Fig. 4.   Concentration-dependent effect of intracellular GTP on the muscarinic K+ channel in the absence and presence of acetylcholine. A: Examples of inside-out patch experiments obtained from guinea-pig atrial myocytes. The channel currents were recorded at -80 mV with the symmetrical 145 mM K+ solutions. The concentration of acetylcholine (ACh) in the pipette was 0 or 1 µM as indicated. The bars above each trace indicates the protocol of application of different concentrations of GTP or 10 µM GTPgamma S to the internal side of the patch membrane. The 3- to 10-fold increase in GTP concentration resulted in a dramatic increase of N.Po of muscarinic K+ channels, indicating the existence of a highly cooperative process. B: The relation between the concentration of GTP and the N.Po of muscarinic K+ channels normalized to the maximum N.Po induced by 10 µM GTPgamma S in each patch. Symbols and bars are mean ± SD. The continuous lines indicate the fit of the relationship between GTP and channel activity in the presence of each concentration of ACh with the following Hill equation:
f=V<SUB>max</SUB>/{1+(K<SUB>d</SUB>/[GTP])<SUP>n</SUP>}
where f is the relative N.Po; Vmax, the maximum N.Po available in the presence of 10 µM GTPgamma S; Kd, the apparent dissociation constant of GTP; and n, the Hill coefficient. [Reproduced with permission from Ito et al. (1991)].

Both in the presence and the absence of ACh, GTPi increases the channel activity in a concentrationdependent manner (Ito et al., 1991). Channel currents in a patch membrane containing multiple KACh channels can be quantified as follows:
I=N ∗ P<SUB>o</SUB> ∗ i=N ∗ P<SUB>o</SUB> ∗ &ggr; ∗ (V<SUB>m</SUB>−E<SUB>K</SUB>) (2)
where I is the total channel current, N is the number of functional KACh channels in the patch, and Po is the open probability of each channel. The increase in channel currents in response to GTPi resulted from an increase in the N*Po value because Vm was fixed at -60 mV and gamma  is independent of G protein activity (Hosoya et al., 1996). As the concentration of ACh was increased, both the apparent potency and efficacy of GTPi were increased. Presumably, this is because a given concentration of GTPi induced a higher steady state concentration of free GKbeta gamma in the presence of higher concentrations of the agonist.

The Hill coefficient for the response was almost constant at ~3 irrespective of ACh concentration (fig. 4B). Therefore, the receptor/GK/KACh channel interaction includes a certain positive cooperative process at step(s) distal to the receptor/GK interaction. Because dissociation of G protein subunits induced by GTP is a one to one reaction (Gilman, 1987), the cooperativity probably results from the GKbeta gamma /KACh channel interaction (Kurachi et al., 1990). Two pieces of evidence support this hypothesis. First, transducin beta gamma subunits applied to the internal side of inside-out patch membranes activate KACh channels reversibly (Yamada et al., 1994a). The concentration-response relationship of this reaction is also fitted by a Hill coefficient of ~3. Second, the KACh channel partially and irreversibly preactivated by brain Gbeta gamma exhibited apparently higher sensitivity to GTPi than the control (Yamada et al. 1993). This potentiation can be explained only by assuming that the same cooperative mechanism mediates Gbeta gamma - and GTPi-induced channel activation. We might be able to understand how GKbeta gamma activates the KACh channel when we can determine which kinetic parameter(s) of the KACh channel is modulated by GTPi in a positive cooperative manner.

3. Spectral analysis of the muscarinic K+ channel currents in the presence of different concentrations of intracellular GTP. Precise and reliable analysis of the single-channel kinetics of the KACh channel is difficult because multiple KACh channels are usually included in a single membrane patch of atrial myocytes (fig. 4A). In these cases, the spectral analysis of the channel currents (an analysis based on a frequency domain) is one of the most reliable and powerful ways to assess the channel kinetics (fig. 5). The power spectrum constructed from inside-out patch recordings of the KACh channel currents is always well fitted with the sum of two Lorenzian curves irrespective of GTPi concentration (Hosoya et al., 1996). These observations indicate that the KACh channel possesses three distinct open/closed states. Because the channel possesses a single open state (Sakmann et al., 1983), the equilibrium of the states can be described as C2left-right-arrow C1left-right-arrow O, where O represents the open state although C1 and C2 are closed states. It is likely that the transition among these three states is responsible for the open and closure of KACh channel currents observed at the single-channel level (figs. 3A, 4A and 5A). The corner frequencies of the two Lorenzian functions (the frequencies at which the power of the each component is the half-maximum) were constant irrespective of GTPi concentration (fig, 5B). The ratio of the powers of the two Lorenzians at 0 Hz was also unaffected by GTPi concentration. These results indicate that the kinetics of the fast open-close transition of the channel is not a function of GK activity. In other words, GK activates the KACh channel without altering the channel's fast open-close kinetics.


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Fig. 5.   Spectral analysis of the muscarinic K+ channel currents in an inside-out patch. A: The muscarinic K+ channel currents in the inside-out patch membrane of a guinea pig atrial myocyte. The channel currents were recorded at -60 mV with the symmetrical 150 mM K+ solutions. The patch pipette also contained 0.5 µM acetylcholine. Different concentrations of GTP were applied to the internal side of the patch membrane as indicated above each current trace. B: Power density spectra calculated from the data shown in A. Each spectrum could be fitted with the sum of two Lorentzian functions. F1 and F2 indicated by arrows indicate the corner frequencies of the slow and the fast Lorentzian components, respectively. [Reproduced with permission from Hosoya et al. (1996)].

How then does GK activate the KACh channel? As GTPi concentration was raised, the powers of both the Lorenzian components at 0 Hz became progressively larger (fig. 5B) (Hosoya et al., 1996), implying that GK increases KACh channel activity through a process too slow to be detected by spectral analysis. For reasons of simplicity, we a priori assume the presence of another transition with slow kinetics between two channel states Uleft-right-arrow A, where U and A, respectively, represent "unavailable" and "available" states of the channel. In this framework, the Uleft-right-arrow A transition is independent of the fast transition C2left-right-arrow C1left-right-arrow O and the A but not the U state allows the channel to be conducting when the channel passes into the O state. Furthermore, it is hypothesized that GK causes a shift of the equilibrium toward A to increase channel activity.

Based on these assumptions, one should be able to calculate the fraction of the A state (i.e., A/(A + U)) in the presence of a given concentration of GTPi by extracting some parameters from the spectral analysis (the corner frequencies and the ration of the powers at 0 Hz) and the single-channel analysis (the single-channel open time and the N*Po value). Fig. 6A shows the calculated fraction of the A state, which increased as the concentration of GTPi was raised in such a way that the concentration-response relationship could be well fitted by a Hill coefficient of ~3. From this result we conclude that GK modulates a slow process in the KACh channel that corresponds to an increase in the number of operational ion channels in the membrane. The fast open-close kinetics of the channels seem not to be influenced by GK. Thus, N, but not Po, in equation 2 is affected by GK.


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Fig. 6.   The relationship between GTP concentration and the fraction of the "available" state of the muscarinic K+ channel, and the concerted allosteric model of Monod, Wyman, and Changeux. A: The fraction of the "available" state (A/(A + U)) was calculated from inside-out membrane patch experiments such as shown in fig. 5. Symbols indicate the relationship between GTP concentration and the calculated fraction of the "available" state. Lines indicate the fit of the data with the Monod, Wyman, and Changeux allosteric model with different assumed numbers of n (see Section II.B.4.). B: Schematic representation of the Monod, Wyman, and Changeux allosteric model. In this scheme, each muscarinic K+ channel is assumed to be an oligomer composed of four identical subunits (i.e., n = 4). Each subunit is in either the tense (T) or the relaxed (R) state, which is represented by squares and circles, respectively. Each subunit in the T or R state binds with one dissociated G protein beta gamma subunit (solid circles) independently of each other with the microscopic dissociation constant of KT or KR, respectively. In this model, all subunits in the same oligomer must change their conformations simultaneously. Therefore, the channel can be either T4 or R4. T4 and R4 are in the equilibrium through an allosteric constant L. [Reproduced with permission from Hosoya et al. (1996)].

4. A possible mechanism for the G protein-mediated increase in the functional numbers of muscarinic K+ channels. Recent studies have revealed that Kir channels, including KACh channel, have an oligomeric structure (Yang et al., 1995b; Krapivinsky et al., 1995a) that may underlie the positive cooperativity of the GKbeta gamma protein/KACh channel interaction (Monod et al., 1965).

In the presence of a supermaximum concentration of ACh (>= 1 µM), Gbeta gamma exogenously applied to the internal side of inside-out patch membranes does not further increase the channel activity once the channel is preactivated with more than 1 µM of GTPi (Ito et al., 1992; Yamada et al., 1993). In this case, the maximum channel activity is determined by the number of KACh channels and not the GKbeta gamma available in a patch membrane. Under these conditions, the interaction between GKbeta gamma and KACh channel subunits can be quantitatively assessed by analyzing the relationship between GTPi concentration and the fraction of the A state with Monod-Wyman-Changeux's (MWC) allosteric model (fig. 6B) (Monod et al., 1965; Hosoya et al., 1996).

This model is based on the following assumptions: (a) a single KACh channel is composed of a finite number (n) of functionally identical subunits: fig. 6B illustrates the case of n = 4; (b) each subunit independently binds only one GKbeta gamma ; (c) each subunit has two distinct conformations: relaxed (R) and tense (T); (d) R and T bind GKbeta gamma with microscopic dissociation constant KR and KT, respectively. R has higher affinity for GKbeta gamma than T (i.e., KR < KT); (e) all subunits in an oligomer must change the conformation simultaneously. As a result, any oligomer is either Rn or Tn; (f) Rn and Tn are in the equilibrium through an allosteric constant L.

According to this model, an increase in GKbeta gamma concentration leads to an increase in the fraction of Rn [i.e., Rn/(Rn + Tn)]. When one replaces Rn and Tn of the MWC model with the A and U states of the KACh channel, the data shown in fig. 6A can be fitted with this model by changing the assumed number of n. Such analysis indicates that n must be greater than 3 to account for the data (fig. 6A) (Hosoya et al., 1996). This result is consistent with the view that Kir channels including KG possess a tetrameric structure as described in Section III.E. (Krapivinsky et al., 1995a; Yang et al., 1995b).

Therefore, we may summarize our current understanding of the interaction between GK and the KACh channel as follows. GK activates the KACh channel by increasing the functional number of channels without modulating the fast open-close transition of the channel gate. The positive cooperativity observed in the GTPi-induced activation of the KACh channel arises from the intrinsic property of the GKbeta gamma /KACh channel interaction. This property can be explained in terms of the oligomeric structure of the KACh channel that is composed of more than three functionally identical subunits, each of which independently binds one GKbeta gamma molecule. As we shall see later in Section IV., KACh channel activity is controlled not only by GK but by Vm. However, ACh does not modulate the relationship between channel activity and Vm (Kurachi, 1990). Therefore, the model described here is applicable to the GK-mediated activation of the KACh channel at any potential.

C. Modulation of G Protein-Mediated Activation of the Muscarinic K+ Channel

Although the GKbeta gamma /KACh channel interaction is the essential step of G protein-mediated activation of the KACh channel, this reaction is modulated by many factors such as intracellular ATP, Na+ ions, and arachidonic acid metabolites. Intracellular ATP has been shown to activate native and recombinant KG channels in an Mg2+i-dependent manner (Otero et al., 1988; Heidbüchel et al., 1990; Kaibara et al., 1991; Kim, 1991; Lesage et al., 1995; Sui et al., 1996). Although the molecular mechanism underlying this phenomenon has not been unequivocally identified, PIP2 may be involved in this phenomenon (Huang et al., 1998).

The activity of KG channels pretreated with intracellular MgATP could be further enhanced by intracellular Na+ (Lesage et al., 1995; Sui et al., 1996). The site of action of Na+ is unknown. Sui et al. (1996) showed that intracellular Na+ increased the activity of the KACh channel (and also the corresponding recombinant KG channel) with an EC50 of ~40 mM mainly by increasing the frequency of the channel's opening. They found that priming of channels with MgATP was a prerequisite for the action of Na+. Lesage et al. (1995), however, found that 20 mM intracellular Na+ activated recombinant KG channel whether or not they had been pretreated with MgATP. This discrepancy might have occurred due to the different subunit composition of the KG channels used in these two studies. Interestingly, Sui et al. (1996) showed that a cardiac glycoside ouabain, an inhibitor of the Na+/K+ pump, induced the opening of the KACh channel. They found that the N*Po value of the channel increased although the mean open time was unchanged, indicating that the activating effect of ouabain was probably mediated by accumulation of intracellular Na+ but not a possible local increase in ATP concentration. However, they did not directly measure intracellular Na+ concentration nor reported the apparent change in the reversal potential of the KACh channel that might be expected when intracellular K+ concentration decreased due to blockade of Na+/K+ pump. Therefore, further studies may be necessary to conclude that cardiac glycosides activate the KACh channel through accumulation of intracellular Na+. This phenomenon might, at least in part, underlie the "direct" negative chrono- and dromo-tropic effects of the agent on the heart.

Arachidonic acid (AA) metabolites are known to modulate KACh channels (Kurachi et al., 1989c; Kim et al., 1989; Yamada et al., 1994b). The effect of AA is mimicked by leukotriene C4 (LTC4) and specifically blocked by AA861, a 5-lipoxygenase inhibitor (Kurachi et al., 1989c). Therefore, the effect of AA may be mediated by LTC4 or its metabolites. Although the site of action of LTC4 has not been clearly identified, the complete dependency of the LTC4 effect on the presence of GTPi indicates that LTC4 does not directly act on the KACh channel (Kurachi et al., 1989c). In the absence of receptor agonists, GTPi usually induces only 20% of the maximum KACh channel activity in the inside-out patch membranes even when Cl- is used as an intracellular anion. However, GTPi fully activated the channel in an agonist-independent manner when the patches were pretreated with AA before patch excision (Kurachi et al., 1989c). Thus, AA metabolites may stimulate the basal turn-on reaction of GK. Stimulation of KACh channels by platelet-activating factor or alpha 1-adrenergic receptors may be mediated by this second-messenger pathway (Nakajima et al., 1991, Kurachi et al., 1989b).

    III. Molecular Analysis of G Protein-Gated K+ Channels
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References

A. Cloning of Inwardly Rectifying K+ Channels

In 1993, the molecular structure of inwardly rectifying K+ channels (Kir) was disclosed. The cDNAs encoding an ATP-dependent Kir channel, ROMK1 (Ho et al., 1993), and a classical Kir channel, IRK1 (Kubo et al., 1993a), were isolated by expression cloning from the outer medulla of rat kidney and a mouse macrophage cell line, respectively (fig. 7). The primary structure of these channels were similar with two putative membrane-spanning regions (M1 and M2) and one potential pore-forming region (H5). This structure resembles that of the S5, H5, and S6 segments of the voltage-gated K+ (Kv) channels. Because the voltage-sensor of the Kv channel subunit exists in the S4 segment that possesses repeated positively-charged amino acid residues, Kir channel subunits lack an obvious voltage-sensor region. This is consistent with electrophysiological studies that show the kinetics of Kir channels apparently depends on the difference of Vm from EK and not on Vm itself.


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Fig. 7.   Evolutionary tree of Kir subunits. The tree was made using the UPGMA (Unweighted Pair Group Method with Arithmetic Mean) Tree Window in Geneworks (IntelliGenetics, Inc., Mountain View, CA).

After the cloning of ROMK1 and IRK1, the cDNAs encoding the main subunits of KG and KATP channels (GIRK1 and BIR) were also cloned (Kubo et al., 1993b; Dascal et al., 1993; Inagaki et al., 1995a). All of these Kir channel subunits exhibit basically the same primary structure. So far, at least 11 cDNAs encoding Kir channel subunits have been isolated. The evolutionary tree of this family is depicted in fig. 7.

These cloned Kir subunit cDNAs encode proteins composed of 327 to 501 amino acids. The identity of the predicted amino acid sequences is ~30 to 40% among the members of the different Kir subfamilies and more than 60% among those in the same subfamilies. The highest level of sequence identity (50 to 60%) is found in the H5 region and the proximal part of the C-terminal cytosolic domain. The cloned Kir channel subunits have been classified at least into four groups (Doupnik et al., 1995a): (a) IRK (Kir2.x) subfamily made of the classical constitutively active "inward rectifier" Kir channels: IRK1 (Kubo et al., 1993a; Morishige et al., 1993), IRK2 (Koyama et al., 1994; Takahashi et al., 1994) and IRK3 (Morishige et al., 1994; Makhina et al., 1994; Pärier et al., 1994); (b) GIRK (Kir3.x) subfamily, corresponding to G protein-regulated K+ channels: GIRK1 (Kubo et al., 1993b; Dascal et al., 1993), GIRK2 (Lesage et al., 1994, 1995; Isomoto et al., 1996; Tsaur et al., 1995; Stoffel et al., 1995; Bond et al, 1995; Ferrer et al., 1995), GIRK3 (Lesage et al., 1994), GIRK4 (Ashford et al., 1994; Krapivinsky et al., 1995a; Chan et al., 1996), and GIRK5 (Hedin et al., 1996); (c) KAB subfamily of ATP-dependent K+ channels (Kir1.1 and Kir4.1): ROMKs (Ho et al., 1993; Zhou et al., 1994; Yano et al., 1994; Shuck et al., 1994; Boim et al., 1995; Kondo et al., 1996) and KAB-2 (Bond et al., 1994; Takumi et al., 1995); and (d) KATP subfamily (Kir6.x), the ATP-sensitive K+ channels: uKATP-1 and BIR (Inagaki et al., 1995a,b; Sakura et al., 1995).

Recent progress in the molecular biology of Kir channels has enabled us to study the structure-function relationship of biophysics, physiological regulation, and pharmacology of these channels at the molecular level.

B. Subunits of G Protein-Gated K+ Channels

GIRK1 was first isolated from the rat atrium (Kubo et al., 1993b; Dascal et al., 1993). From a mouse brain cDNA library, two additional homologues of GIRK1 were isolated and designated GIRK2 and GIRK3 (table 2) (Lesage et al., 1994). Furthermore, it has been shown that at least three different isoforms of mouse GIRK2 are generated by alternative splicing of transcripts from a single gene, and we designated them GIRK2A, GIRK2B, and GIRK2C in the order of identification (Isomoto et al., 1997). These alternatively spliced transcripts share an N-terminal end and a central core, and differ at their C-terminal ends. GIRK2B was isolated from mouse brain cDNA library and shown to be ubiquitously expressed in various tissues (Isomoto et al., 1996). Its amino acid sequence is shorter than that of GIRK2A by 87 amino acids. The eight amino acid residues in the C-terminal end of GIRK2B are different from those of GIRK2A. GIRK2C has a C-terminus which is longer than that of GIRK2A by 11 amino acids. GIRK2C was isolated from cDNA libraries of insulinoma cells and brain (Lesage et al., 1994, 1995; Tsaur et al., 1995; Stoffel et al., 1995; Bond et al., 1995; Ferrer et al., 1995).

GIRK2C was originally termed KATP-2 because it was thought to be a subunit of the KATP channel (Stoffel et al., 1995; Tsaur et al., 1995) due to its sequence similarity to cKATP-1, which was isolated by Ashford et al. (1994). However, GIRK4, which is virtually identical with rat cKATP-1, reconstitutes cardiac KACh channel with GIRK1 and does not contribute to the KATP channel as described in the Section III.D. (Krapivinsky et al., 1995a,b). Thus, it is now clear that both cKATP-1 and KATP-2 belong to the GIRK subfamily. GIRK5 was cloned from Xenopus oocytes (Hedin et al., 1996). Although its mammalian homologue has not been reported, the amino acid sequence of GIRK5 is most homologous to that of GIRK4 among mammalian GIRKs.

The GIRK clones contain various known functional motifs in their amino acid sequences that may be important for the physiological functions of the subunits in KG channels (fig. 8). GIRK1 possesses an amino acid sequence homologous to the Gbeta gamma -binding domain of beta ARK1 in its C-terminus, which is therefore the candidate for the site of Gbeta gamma -binding to the KG channel (Reuveny et al., 1994). As with all the other Kir channel subunits, GIRKs possess conserved cationic residues adjacent to the C-terminal end of the M2 domain. One of these positively charged residues, arginine (R) at position 188 of ROMK1, was shown to be critically involved in PIP2-induced activation of rundown ROMK1 channels (Huang et al., 1998). Thus, it is conceivable that the corresponding residues in GIRK subunits (R190 for GIRK1; R201 for GIRK2s; R167 for GIRK3; and R196 for GIRK4) also participate in the PIP2-induced activation of KG channels. All of the GIRK clones have an arginine-glycine-aspartate (RGD) motif in their linker region between M1 and H5. This motif could be an integrin receptor-site (Hynes et al., 1992), whose role in KG channels has not been examined yet. The characteristic feature of GIRK2C is the serine/threonine-X-valine/isoleucine (S/T-X-V/I) motif at its C-terminus end (Gomparts, 1996). This motif has been