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Biophys J, April 2000, p. 1810-1824, Vol. 78, No. 4

Role of Mg2+ in Ca2+-Induced Ca2+ Release through Ryanodine Receptors of Frog Skeletal Muscle: Modulations by Adenine Nucleotides and Caffeine

Takashi Murayama, Nagomi Kurebayashi, and Yasuo Ogawa

Department of Pharmacology, Juntendo University School of Medicine, Tokyo 113-8421, Japan

    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Mg2+ serves as a competitive antagonist against Ca2+ in the high-affinity Ca2+ activation site (A-site) and as an agonist of Ca2+ in the low-affinity Ca2+ inactivation site (I-site) of the ryanodine receptor (RyR), which mediates Ca2+-induced Ca2+ release (CICR). This paper presents the quantitative determination of the affinities for Ca2+ and Mg2+ of A- and I-sites of RyR in frog skeletal muscles by measuring [3H]ryanodine binding to purified alpha - and beta -RyRs and CICR activity in skinned fibers. There was only a minor difference in affinity at most between alpha - and beta -RyRs. The A-site favored Ca2+ 20- to 30-fold over Mg2+, whereas the I-site was nonselective between the two cations. The RyR in situ showed fivefold higher affinities for Ca2+ and Mg2+ of both sites than the purified alpha - and beta -RyRs with unchanged cation selectivity. Adenine nucleotides, whose stimulating effect was found to be indistinguishable between free and complexed forms, did not alter the affinities for cations in either site, except for the increased maximum activity of RyR. Caffeine increased not only the affinity of the A-site for Ca2+ alone, but also the maximum activity of RyR with otherwise minor changes. The results presented here suggest that the rate of CICR in frog skeletal muscles appears to be too low to explain the physiological Ca2+ release, even though Mg2+ inhibition disappears.

    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

The ryanodine receptor (RyR) is a Ca2+ release channel on the sarcoplasmic reticulum (SR) (Coronado et al., 1994; Meissner, 1994; Ogawa, 1994; Sutko and Airey, 1996). The RyR is a large (~2.3 MDa) homotetrameric protein complex and forms the "foot" structure in situ, which spans the gap between transverse tubule and terminal cisternae of SR (Franzini-Armstrong and Protasi, 1997; Wagenknecht and Radermacher, 1997). To date, three genetically distinct isoforms of RyR (RyR1-3) have been identified in mammalian tissues. RyR1 is a primary isoform in mammalian skeletal muscles and plays an important role in excitation-contraction (E-C) coupling. In many skeletal muscles of nonmammalian vertebrates, in contrast, two isoforms of RyR, alpha - and beta -RyRs, which are homologs of mammalian RyR1 and RyR3, respectively, coexist in nearly equal amounts (Ogawa, 1994; Sutko and Airey, 1996).

The RyR shows properties of Ca2+-induced Ca2+ release (CICR), which is modulated by several endogenous and exogenous ligands (Coronado et al., 1994; Meissner, 1994; Ogawa, 1994). Among them, Mg2+, adenine nucleotides, and caffeine have attracted much interest because of their physiological and pharmacological relevance (Endo, 1977, 1981). The myoplasmic ATP concentration of the skeletal muscle is reported to be 3-9 mM, of which the major form is MgATP (more than 90%) (Godt and Maughan, 1988), and the free Mg2+ concentration is estimated to be ~1 mM (Westerblad and Allen, 1992; Konishi et al., 1993).

CICR activity of RyR is biphasically regulated by Ca2+: micromolar Ca2+ activates the channel, whereas millimolar Ca2+ inhibits it. The biphasic effect of Ca2+ suggests the existence of two classes of Ca2+ sites: a high-affinity Ca2+ activation site (A-site) and a low-affinity Ca2+ inactivation site (I-site) (Meissner, 1994; Ogawa, 1994). Mg2+ decreases the peak value of CICR activity with a reduction in the Ca2+ sensitivity for activation (Endo, 1977, 1981). The extent of inhibition by Mg2+ depends on the Ca2+ concentration, in marked contrast to the case of procaine, which shows Ca2+-independent inhibition (Kurebayashi and Ogawa, 1998). This is accounted for by the dual effects of Mg2+ on the two sites as follows: a competitive antagonist against Ca2+ in the former site and an agonist in the latter site (Endo, 1981; Laver et al., 1997; Meissner et al., 1997). It should be noted, however, that the effect of Mg2+ was assumed to be due primarily to competitive antagonism on the A-site in many experiments with skinned or cut fibers (Lamb and Stephenson, 1991; Jacquemond and Schneider, 1992; Lacampagne et al., 1998).

It is well known that ATP increases CICR activity without changing its Ca2+ dependence (Endo, 1981). However, it remains unknown whether ATP affects Mg2+ sensitivity. This is due to difficulty in analyzing the effect of Mg2+ in the presence of ATP, because it is unclear whether MgATP is as potent as free ATP in stimulating CICR. Caffeine is known to stimulate CICR activity by increasing the Ca2+ sensitivity for activation (Endo, 1981). However, its effect on Ca2+ inactivation is unclear, and whether the affinity for Mg2+ of either the A-site or the I-site is affected remains to be determined. To understand the physiological and pharmacological roles of the CICR activity of RyR in situ, knowledge of the affinities for Mg2+ of these A- and I-sites and their modulations by endogenous ligands or drugs is essential. In frog muscle, where two isoforms are coexpressed, the role of each isoform in E-C coupling cannot be discussed without knowing the CICR activity of each one in the presence of ~1 mM Mg2+.

In this study, we examined the affinity for Mg2+ as well as for Ca2+ of the A- and I-sites of alpha - and beta -RyRs on the basis of the model for the actions of Ca2+ and Mg2+. We used a [3H]ryanodine binding assay with the two isoforms purified from bullfrog skeletal muscle, which enabled us to analyze the effect of Mg2+ on the individual isoforms (Murayama and Ogawa, 1992, 1996). Because it has been reported that affinities for Ca2+ and Mg2+ are affected by many factors, including ionic or nonionic solutes, detergents, and phospholipids (Ogawa et al., 1999), their affinity must be assessed under conditions that are as close as possible to the physiological environment. Taking advantage of the finding that there was only a minor difference at most in the [3H]ryanodine binding activity between the two purified isoforms, we extended the same analysis procedure to the CICR experiments to determine affinities for Ca2+ and Mg2+ of both A- and I-sites of the Ca2+ release channel, using frog skinned skeletal muscle fibers; in these the molecular organization of biological components involved in Ca2+ release from SR is well maintained (Kurebayashi and Ogawa, 1986, 1998). Based on the results of these experiments, we will discuss the role of Mg2+ in the CICR activity of RyRs in situ, with particular reference to the effects of adenine nucleotides and caffeine. A preliminary report appeared earlier (Murayama et al., 1998a).

    MATERIALS AND METHODS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Materials

[3H]Ryanodine (60-90 Ci/mmol) was purchased from Du Pont-New England Nuclear. Pure ryanodine was a generous gift from Wako Pure Chemical Industries. All other reagents were of analytical grade. Concentrations of AMP and beta -, gamma -methyleneadenosine triphosphate (AMPPCP) were determined by spectrometry, using molar extinction coefficients at 259 nm of 15.4 × 103 and 14.2 × 103 M-1 cm-1, respectively. Free Ca2+ and Mg2+ concentrations were calculated using dissociation constants as follows: EGTA for Ca2+ (pKapp = 5.94 for [3H]ryanodine binding, 6.02 and 6.43 for CICR experiments at pH 6.8 and 7.0, respectively) was taken from Harafuji and Ogawa (1980), EGTA for Mg2+ (pKapp = 0.49 at pH 6.8) was from Martell and Smith (1974), AMPPCP for Ca2+ and Mg2+ (pKa = 7.7; pKCa = 4.16; pKMg = 4.68) was by Ogawa et al. (1986), and AMP for Ca2+ and Mg2+ (pKa = 6.26; pKCa = 1.86; pKMg = 1.92) was by Khan and Martell (1967).

[3H]Ryanodine binding

alpha - and beta -RyRs were purified from the heavy fraction of SR vesicles of bullfrog skeletal muscle (Murayama and Ogawa, 1992). Assays of [3H]ryanodine binding to each of the two isoforms were carried out as described in Murayama and Ogawa (1996), with some modifications. Purified RyR (1-2 µg) was incubated with 8.5 nM [3H]ryanodine for 5 h at 25°C in 200 µl of a reaction medium containing 0.17 M NaCl, 20 mM 3-(N-morpholino)-2-hydroxypropanesulfonic acid (MOPSO)/NaOH (pH 6.8), 1% 3-[(3-cholamidopropyl)dimethylammonio]-1-propanesulfonic acid (CHAPS), 0.5% phospholipids, 2 mM dithiothreitol, and 4 mM AMP. A free Ca2+ concentration was set by mixing 10 mM EGTA with a specified amount of CaCl2. In experiments with Mg2+, MgCl2 was added to the medium and NaCl was reduced to keep the ionic strength constant. This care is critical, particularly in the presence of high Ca2+ and Mg2+ concentrations, because the increased ionic strength may weaken the inhibition (Murayama and Ogawa, 1996; Murayama et al., 1998b). Samples were then filtered through Whatman GF/B glass filters that had been soaked with 2% polyethylenimine. Filters were rinsed twice with ice-cold water and dried. Radioactivity retained on the filters was counted in a liquid scintillation counter. Nonspecific binding was determined in the presence of 50 µM unlabeled ryanodine.

CICR experiments

A single skinned muscle fiber was obtained from the iliofibularis muscle of Rana japonica and mounted in the experimental chamber for optical determination of Ca2+ concentrations as described (Kurebayashi and Ogawa, 1998; Murayama et al., 1998b). All experiments were performed at a temperature of 16°C.

Table 1 shows the composition of solutions used for the experiments. A relaxing solution (RS) and Ca2+ loading solution (LS) contained 4 mM MgATP and 1 mM free Mg2+, and the other solutions, i.e., three kinds of washing solutions (W1-W3), test solutions (TS), and a discharging solution (DS), did not contain ATP, to avoid active transport of Ca2+ into SR by Ca2+ pump. W3 and DS contained 0.1 mM EGTA and 1 µM fura-2 for determination of Ca2+ released from SR. TS contained 10 mM EGTA and 0-10 mM total calcium to achieve a desired cytoplasmic Ca2+ concentration ([Ca2+]C) when [Ca2+]C <=  0.1 mM. If 0.1 < [Ca2+]C < 10 mM, it contained 10 mM CaCl2 and EGTA calculated as (10 - [Ca2+]C) mM. AMP, AMPPCP, Mg2+, and/or caffeine were added to the TS if necessary.


                              
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TABLE 1   Composition of experimental solutions

The experimental protocol for determinations of the activity of CICR in skinned fibers was similar to that described (Kurebayashi and Ogawa, 1998). The rate of Ca2+ release was determined by the rate of decrease in the total amount of calcium remaining in the SR (Ca in SR) after a certain stimulus, as follows. A skinned fiber was initially treated with DS to empty SR of Ca2+, and then SR was actively loaded to a constant level (prescriptive loading level) by incubation with LS (pCa 6.5) for 2 min. After removal of ATP by washing successively with W1 for 60 s and W2 for 30 s, the skinned fiber was treated with a TS for a specified period (t >=  3 s). The fiber was then successively washed with W1, W2, and W3 and challenged with DS to discharge all releasable Ca2+ in SR. The amount of discharged Ca2+ (Ca in SR) was determined from the fluorescence ratio signal of fura-2 in DS. The protocol was repeated with the same fiber. The prescriptive loading level without TS treatment was determined in every three to five series of experiments for the standard in calibration, and Ca in SR remaining after incubation for a specified period (t) in TS was expressed as its relative value (Y). Decay of Ca in SR apparently follows a first-order kinetics in TS, and the final steady level, S, is dependent on cytoplasmic [Ca2+] ([Ca2+]C), as described previously (Kurebayashi and Ogawa, 1998). The time course of Ca2+ release can be best fitted by the equation Y = (1 - S) × exp (-kapp × t) + S, where kapp stands for an apparent rate constant. kapp is a measure of the Ca2+ release channel activity. S was practically zero at 0.02 mM [Ca2+]C (pCa 4.7) or less. At [Ca2+]C higher than 0.02 mM, S was determined by incubating the fiber for 300 s in the TS solution.

Corrections for kapp at mM cytoplasmic Ca2+

As described above, the obtained kapp is the value of the decrease in total calcium in SR (Ca in SR), i.e., the sum of free Ca2+ and bound calcium in SR, under the assumption that its time course may be approximated in a first-order kinetics. In principle, the Ca2+ flux is caused by the downhill movement of free Ca2+ through a channel showing an intrinsic permeability. Therefore, if all of the Ca2+ stored in the SR were free, the rate constant for the Ca2+ release would be equal to the intrinsic rate constant. The presence of the massive Ca2+-binding sites in the lumen, such as calsequestrin and Ca2+-ATPase, however, may lower the concentration of free Ca2+ with the same total amount of calcium in SR. In this case, the decrease in the luminal free Ca2+ concentration during Ca2+ release is buffered by the luminal bound Ca2+. The apparent rate constant for this Ca2+ release, kapp, will be smaller than the intrinsic rate constant, even if Ca2+ instantaneously dissociates from the binding sites. In the Ca2+-loading conditions mentioned here, the luminal free Ca2+ concentration is estimated to be 10 mM, because Ca in SR was unchanged after the incubation with a solution of 10 mM Ca2+ in the absence of Ca2+ pump activity by removal of ATP, whereas it was increased and decreased after the incubation with a higher and lower Ca2+ concentration, respectively (Kurebayashi and Ogawa, 1998). We also found that the luminal Ca2+-binding sites might be homogeneous and independent, and that the total sites would be 14 mM with KD = 1 mM. Therefore, Ca in SR at the initial loading level is calculated to consist of 13 mM bound calcium and 10 mM free Ca2+. The apparent rate constant for the Ca2+ release from the SR at the loading level to a solution of a high Ca2+ concentration, say 3 mM, is greater than that to a low Ca2+ concentration solution, say 10 µM, for the reason mentioned below. The final luminal free Ca2+ and bound calcium are calculated to be 3 and 10 mM in the former case, and 0.01 and 0.14 mM in the latter case, respectively. In the former, Ca2+ release was largely driven by change in free Ca2+, whereas there was a more marked contribution of the bound calcium in the latter. This difference in the apparent rate constant that depends on the Ca2+ concentration of the incubation medium must be corrected for. Furthermore, we have suggested that the luminal Ca2+ exerts an inhibitory effect on the intrinsic rate constant of the Ca2+ release channel with Ki approx  2 mM (Kurebayashi and Ogawa, 1998). Taking these findings into consideration, the correction factors at various Ca2+ concentrations were obtained as follows: 1.00 at pCa > 4.9, 1.02 at pCa 4.6, 1.05 at pCa 4.0, 1.15 at pCa 3.5, 1.44 at pCa 3.0, and 1.75 at pCa 2.5. For the analysis of CICR activity at a high [Ca2+]C, kapp was divided by this factor, and the corrected value was denoted as k'app. This correction, however, actually affects only the dissociation constant for Ca2+ in the I-site. The other parameters for the A-site or I-site were not significantly affected.

Data analysis

The results of [3H]ryanodine binding and CICR experiments were fitted to equations obtained according to a model for the actions of Ca2+ and Mg2+ on the Ca2+ release channel to yield parameters for these divalent cations of the two Ca2+ sites (see Results). The curve fit was performed using nonlinear regression by Sigma Plot, version 5 for Macintosh (Jandel Scientific). Data are expressed as means ± SE, except as otherwise stated.

    RESULTS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

[3H]Ryanodine binding to the purified alpha - and beta -RyRs

Effect of Mg2+

[3H]Ryanodine binding to alpha - and beta -RyRs that were purified from bullfrog skeletal muscle was carried out in an isotonic medium containing 0.17 M NaCl. In such a medium frog RyRs show only a small amount of [3H]ryanodine binding (~10 pmol/mg protein) without any added ligand other than Ca2+, even in the presence of its optimal concentrations (Ogawa and Harafuji, 1990; Murayama and Ogawa, 1996). Therefore, 4 mM AMP, which showed very weak affinity for divalent cations, was added to the medium to stimulate the activity of RyR without significant change in its Ca2+ sensitivity. The binding at the optimal Ca2+ concentration in the absence of Mg2+ amounted to 100-120 pmol/mg protein for both isoforms.

Fig. 1 shows the effects of Mg2+ on the Ca2+-dependent [3H]ryanodine binding to alpha -RyR. The Ca2+-dependent [3H]ryanodine binding was biphasic in the absence of Mg2+: Ca2+ was stimulatory at a concentration lower than 0.1 mM and inhibitory at a higher concentration (Fig. 1 A, open circles). Mg2+ (5.9 mM) depressed the peak value to about one-third of the control value and shifted the stimulatory Ca2+ to a higher concentration range: the EC50 value of Ca2+ was increased from 10 µM in control to 32 µM in the presence of 5.9 mM Mg2+ (Fig. 1 A, filled circles).



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FIGURE 1   Scheme illustrating the procedure for determinations of the affinities for Ca2+ and Mg2+ of the A- and I-sites of frog RyRs. [3H]Ryanodine binding to the purified alpha -RyR was carried out as described in Materials and Methods in a reaction medium containing 8.5 nM [3H]ryanodine, 0.17 M NaCl, 20 mM MOPSO/NaOH (pH 6.8), 1% CHAPS, 0.5% phospholipids, 2 mM dithiothreitol, 4 mM AMP, and various free Ca2+ and Mg2+. (A) Ca2+ dependence of the ryanodine binding in the presence () and absence (open circle ) of 5.9 mM Mg2+. Data are means ± SE (n = 4). (B) Dose-dependent inhibition by Mg2+ of [3H]ryanodine binding at three different Ca2+ concentrations (arrows a-c are as indicated in A): 10.7 µM (a), 110 µM (b), and 1.0 mM (c). Data are means ± SE (n = 3). Parameters for Ca2+ and Mg2+ of the A- and I-sites were determined in three consecutive steps. First, the data in the absence of Mg2+ (open circle  in A) were fitted to Eq. 2 to yield the following parameters: Bmax = 117.4 pmol/mg protein; KA,Ca = 10.1 µM; nA,Ca = 2.0; KI,Ca = 2.73 mM; nI,Ca = 1.0. Second, the dose-dependent inhibition by Mg2+ (black-triangle in B) in the presence of 1 mM Ca2+ (arrow c in A), where competition of Mg2+ for the A-site is negligible, was fitted to Eq. 3 to obtain KI,Mg (3.16 mM) and nI,Mg (0.9). Third, the data ( in B) at 10.7 µM Ca2+ (arrow a in A), where competitive inhibition by Mg2+ is prominent, were fitted to Eq. 1 to estimate KA,Mg (396 µM) and nA,Mg (1.1). The validity of the obtained parameters was confirmed by comparing the curve computed according to Eq. 1 with the data (curve b in B) at 110 µM Ca2+ (arrow b in A). These parameter values were also verified by the curve fit to the Ca2+-dependent [3H]ryanodine binding in the presence of 5.9 mM Mg2+ as shown in A.

The widely accepted explanation for the inhibitory effects of Mg2+ is as follows. The RyR or Ca2+ release channel has both the high-affinity Ca2+ activation site (A-site) and the low-affinity Ca2+ inactivation site (I-site). Mg2+ serves as a competitive antagonist on the A-site and as an agonist on the I-site (Laver et al., 1997; Meissner et al., 1997). Therefore, the following equations are predicted according to the model corresponding to the above explanation. Channels with the A-site occupied by Ca2+ (the probability of fA) and the I-site free of Ca2+ or Mg2+ (the probability of (1 - fI)) are in the activated state. fA and 1 - fI are expressed as follows:
f<SUB><UP>A</UP></SUB>=[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP>/{[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP>+K<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP><SUB><UP>A,Ca</UP></SUB>(1+[<UP>Mg<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>A,Mg</UP></SUB></SUP>/K<SUP><UP>n</UP><SUB><UP>A,Mg</UP></SUB></SUP><SUB><UP>A,Mg</UP></SUB>)}

1−f<SUB><UP>I</UP></SUB>=1/(1+[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP>/K<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP><SUB><UP>I,Ca</UP></SUB>+[<UP>Mg<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>I,Mg</UP></SUB></SUP>/K<SUP><UP>n</UP><SUB><UP>I,Mg</UP></SUB></SUP><SUB><UP>I,Mg</UP></SUB>)
where KA,Ca, KA,Mg, KI,Ca, and KI,Mg represent the dissociation constants for Ca2+ and Mg2+ of the A- and I-sites, respectively. nA,Ca, nA,Mg, nI,Ca, and nI,Mg represent the Hill coefficients of the relevant sites. Because [3H]ryanodine is considered to bind only to the open channel (Coronado et al., 1994; Meissner, 1994; Ogawa, 1994), the [3H]ryanodine binding (B) in the presence of a specified concentration of [3H]ryanodine as determined in Fig. 1 A can be expressed by Eq. 1:
B=B<SUB><UP>max</UP></SUB>×f<SUB><UP>A</UP></SUB>×(1−f<SUB><UP>I</UP></SUB>) (1)

=B<SUB><UP>max</UP></SUB>×<FR><NU>[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP></NU><DE>[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP>+K<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP><SUB><UP>A,Ca</UP></SUB>(1+[<UP>Mg<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>A,Mg</UP></SUB></SUP>/K<SUP><UP>n</UP><SUB><UP>A,Mg</UP></SUB></SUP><SUB><UP>A,Mg</UP></SUB>)</DE></FR>

×{1/(1+[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP>/K<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP><SUB><UP>I,Ca</UP></SUB>+[<UP>Mg<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>I,Mg</UP></SUB></SUP>/K<SUP><UP>n</UP><SUB><UP>I,Mg</UP></SUB></SUP><SUB><UP>I,Mg</UP></SUB>)}
where Bmax is the maximum amount of [3H]ryanodine binding to be expected in the presence of a specified concentration of the ligand. It should be noted that Bmax is different from the conventional value for maximum binding, which refers to the value in the presence of an infinite amount of [3H]ryanodine. Bmax is also affected by modulators such as adenine nucleotides and caffeine. A preliminary attempt to determine all nine parameters, including Bmax in Eq. 1 by curve fit of the data of Ca2+ dependence, as shown in Fig. 1 A, was unsuccessful, because there were too many parameters to fix for the data points currently available. To determine these parameters accurately with a relatively small number of data points, we designed an analysis procedure comprising three consecutive steps and confirmed of the validity of the results. This procedure was found to work well, as shown in Fig. 2. First, in the absence of Mg2+ ([Mg2+ = 0]), Eq. 1 is simplified into Eq. 2:
B=B<SUB><UP>max</UP></SUB>×f<SUB><UP>A</UP></SUB>×(1−f<SUB><UP>I</UP></SUB>) (2)

=B<SUB><UP>max</UP></SUB>×{[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP>/([<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP>+K<SUP><UP>n</UP><SUB><UP>A,Ca</UP></SUB></SUP><SUB><UP>A,Ca</UP></SUB>)}

×{1−[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP>/([<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP>+K<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP><SUB><UP>I,Ca</UP></SUB>)}
The results of Ca2+-dependent [3H]ryanodine binding in the absence of Mg2+ (Fig. 1 A, open symbols) were fitted to Eq. 2 to yield Bmax and the parameters for Ca2+ of the A-site (KA,Ca, nA,Ca) and the I-site (KI,Ca, and nI,Ca). Second, at a [Ca2+] much higher than KA,Ca (e.g., Fig. 1 A, arrow c), where competitive inhibition by Mg2+ on the A-site is negligible, the inhibition by Mg2+ can be explained by the action on the I-site alone. Under the circumstances, Eq. 1 is simplified into Eq. 3:
B=B<SUB><UP>max</UP></SUB>×(1−f<SUB><UP>I</UP></SUB>) (3)

=B<SUB><UP>max</UP></SUB>×{1/(1+[<UP>Ca<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP>/K<SUP><UP>n</UP><SUB><UP>I,Ca</UP></SUB></SUP><SUB><UP>I,Ca</UP></SUB>+[<UP>Mg<SUP>2+</SUP></UP>]<SUP><UP>n</UP><SUB><UP>I,Mg</UP></SUB></SUP>/K<SUP><UP>n</UP><SUB><UP>I,Mg</UP></SUB></SUP><SUB><UP>I,Mg</UP></SUB>)}
The results of dose-dependent inhibition by Mg2+ in the presence of 1 mM Ca2+ (Fig. 1 B, triangles, curve c) were fitted to Eq. 3 to obtain the parameters for Mg2+ of the I-site (KI,Mg and nI,Mg), using the other parameters already fixed. Third, the results of Mg2+ dependence (Fig. 1 B, squares, curve a) at a [Ca2+] near KA,Ca (Fig. 1 A, arrow a), where competitive inhibition by Mg2+ is prominent, would give the parameters for Mg2+ of the A-site (KA,Mg and nA,Mg) according to Eq. 1, because the other parameters used in the equation are already known. The validity of the obtained parameters was confirmed by comparing the results at a mid-range of free Ca2+ concentration (e.g., 0.1 mM Ca2+) (Fig. 1 B, circles, curve b; see also Fig. 1 A, arrow b). These parameters also can predict well the Ca2+-dependent [3H]ryanodine binding in the presence of 5.9 mM Mg2+, as shown in Fig. 1 A.



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FIGURE 2   Effect of Mg2+ on the Ca2+-dependent [3H]ryanodine binding to frog RyRs. [3H]Ryanodine binding to the purified alpha -RyR (A) and beta -RyR (B) was carried out as in Fig. 1 at various free Ca2+ concentrations in the presence of 0 (open circle ), 0.8 (triangle ), 2.5 (), and 5.9 () mM free Mg2+. Data are means ± half-range of deviations of duplicate determinations. Curves in A and B were drawn according to Eq. 1, using the following parameters: Bmax = 117.4 and 113.1 pmol/mg protein, KA,Ca = 10.1 and 18.1 µM, nA,Ca = 2.0 and 2.3, KI,Ca = 2.73 and 2.72 mM, nI,Ca = 1.0 and 1.2, KA,Mg = 396 and 350 µM, nA,Mg = 1.1 and 0.9, KI,Mg = 3.16 and 5.23 mM, and nI,Mg = 0.9 and 0.9 for alpha -RyR and beta -RyR, respectively.

We would like to point out that the inhibition by Mg2+ depended on the Ca2+ concentration where the dose-effect curve for Mg2+ was obtained. Fig. 1 B shows that IC50 values for Mg2+ were 0.48, 2.7, and 4.1 mM at 10.7 (open squares), 110 (open circles), and 1000 (filled triangles) µM Ca2+, respectively. The three-step procedure of analysis is indispensable for the coherent understanding of these effects of Mg2+, which are of apparently variable grade. These systematic determinations and the analysis procedure are the fundamental principle throughout these experiments.

Fig. 2 demonstrates Ca2+-dependent [3H]ryanodine binding to alpha -RyR (Fig. 2 A) and beta -RyR (Fig. 2 B) in the presence of 0-5.9 mM free Mg2+. Computed curves using parameters determined as described above corresponded well to the experimental data points for both RyR isoforms at every Mg2+ concentration. A similar set of parameters was also obtained all at once by fitting all of the data points for each isoform (Fig. 2) in the presence of various Ca2+ and Mg2+ concentrations to Eq. 1, using a 3D curve fitter (Sigma Plot, version 5, for Macintosh) (data not shown). These results suggest that the model and the parameters determined by the three-step procedure well explain the effects of Mg2+ on the [3H]ryanodine binding activity of both alpha - and beta -RyRs.

Table 2 shows a summary of six to eight similar determinations. Although KA,Ca for beta -RyR (18.1 µM) appears to be slightly larger than that for alpha -RyR (11.0 µM), the difference was not great, and we may conclude that they were similar to each other. There was no difference between alpha - and beta -RyRs in KI,Ca (2.38 versus 2.34 mM), KA,Mg (324 versus 325 µM), or KI,Mg (2.79 versus 3.06 mM). The A-site showed 20-30-fold higher affinity for Ca2+ than for Mg2+. It should be noted that the Hill coefficient for Mg2+ (nA,Mg = 0.9-1.0) was significantly smaller than that for Ca2+ (nA,Ca = 2.1-2.3). On the other hand, the I-site showed similar affinity (KD of 2-3 mM) for Ca2+ and Mg2+, with a Hill coefficient of ~1. In addition to these parameters, the Bmax values of the two isoforms were also similar (107 versus 118 pmol/mg protein).


                              
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TABLE 2   Summary of parameters for Ca2+ and Mg2+ of the A- and I-sites and Bmax, which were determined from [3H]ryanodine binding to the purified RyRs

Effect of caffeine

Caffeine is a well-known activator of RyRs and is thought to enhance the Ca2+ sensitivity for activation. However, it is still unclear how the effect of the drug is modulated in the presence of Mg2+. We examined in detail the effect of caffeine on [3H]ryanodine binding in the presence of various concentrations of Ca2+ and Mg2+ and analyzed the effect of the drug on the A- and I-sites. Fig. 3 A demonstrates the effects of various concentrations of caffeine on Ca2+-dependent [3H]ryanodine binding to alpha -RyR. Caffeine dose-dependently enhanced the apparent Ca2+ sensitivity for activation: EC50 for Ca2+ was reduced from 9.9 µM (control) to 3.6 and 1.1 µM with 2 and 10 mM caffeine, respectively. No further Ca2+-sensitizing effect was observed at 15 mM caffeine (data not shown). Furthermore, it slightly reduced the inactivation in the presence of high Ca2+ concentrations. In addition, 2 mM or more caffeine increased the binding at optimal Ca2+ by ~20%. Similar results were obtained with the purified beta -RyR (see Table 2). These findings were consistent with previous studies of [3H]ryanodine binding to the purified RyRs (Murayama and Ogawa, 1996) and isolated SR vesicles (Ogawa and Harafuji, 1990).



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FIGURE 3   (A) Effect of caffeine on the Ca2+-dependent [3H]ryanodine binding to frog RyRs. [3H]Ryanodine binding to alpha -RyR was carried out as in Fig. 1 in the presence of 0 (open circle ), 2 (triangle ), and 10 () mM caffeine. Data are means ± half-range of deviations of duplicate determinations. (B) Effect of Mg2+ on the Ca2+-dependent [3H]ryanodine binding in the presence of 10 mM caffeine. [3H]Ryanodine binding to alpha -RyR was determined with 0 (), 0.8 (down-triangle), 2.5 (diamond ), and 5.9 () mM Mg2+. Computed curves were drawn using Eq. 1 and the following parameters: Bmax = 140.2 pmol/mg protein; KA,Ca = 1.19 µM; nA,Ca = 1.5; KI,Ca = 3.85 mM; nI,Ca = 1.1; KA,Mg = 379 µM; nA,Mg = 1.1; KI,Mg = 4.92 mM; nI,Mg = 1.1.

Fig. 3 B shows the effects of Mg2+ on the Ca2+-dependent [3H]ryanodine binding to alpha -RyR in the presence of 10 mM caffeine. Mg2+ decreased both the binding at the optimal Ca2+ and apparent Ca2+ sensitivity for activation in a dose-dependent manner, as is the case without caffeine (see Fig. 2). EC50 for Ca2+ was increased from 1.1 µM (control) to 2.4, 4.2, and 6.6 µM by 0.8, 2.5, and 5.9 mM Mg2+, respectively. The analysis was carried out to obtain parameters as described above in the three-step procedure. Table 2 shows the summary of parameters thus determined, including those for beta -RyR. The experimental results obtained in the presence of varying amounts of Mg2+ in Fig. 3 B coincided well with computed curves, when we used the parameters shown in Table 2. Caffeine markedly reduced KA,Ca for both isoforms (from 11 to 1 µM, 10-fold, with alpha -RyR and from 18 to 3 µM, sixfold, with beta -RyR) with a slight decrease in nA,Ca (from 2.1 to 1.5 with alpha -RyR and from 2.3 to 1.7 with beta -RyR). In contrast, KA,Mg and nA,Mg were not changed substantially by the reagent. These results suggest that caffeine increases the affinity of the A-site for Ca2+ but not for Mg2+. In addition to the effects on the A-site, caffeine slightly increased KI,Ca (from 2.4 to 4.0 mM for alpha -RyR and from 2.3 to 5.1 mM for beta -RyR) and KI,Mg (from 2.8 to 5.2 mM for alpha -RyR and from 3.1 to 7.8 mM for beta -RyR). This may be consistent with the decreased inactivation in the presence of high Ca2+ concentrations. The Bmax was increased by 20-30%. This increase in Bmax may partly contribute to the enhanced peak value of the binding. The enhancement appeared to be saturated at 2 mM caffeine in these experiments (see Fig. 3 A). With SR vesicles, however, the peak values of [3H]ryanodine binding increased up to threefold or more as caffeine was increased to 15 mM (Ogawa and Harafuji, 1990; Ogawa et al., 1999). This difference may be explained by the effect of CHAPS, which potentiates the effect of adenine nucleotides (Ogawa et al., 1999).

CICR activity in skinned fibers

Effect of Mg2+

Fig. 4 shows the Ca2+ dependence of the rates of CICR that were determined in a chloride salt medium (Cl medium) containing 4 mM AMP and 0-1.6 mM Mg2+. In the absence of Mg2+, CICR shows a bell-shaped Ca2+ dependence similar to that of [3H]ryanodine binding (Fig. 2). The peak value of the rate constant was ~7 min-1, and EC50 and IC50 for Ca2+ were 3 µM and 1 mM, respectively. Mg2+ had two distinct effects on the pCa-CICR activity relationship: it dose-dependently decreased the peak rate of Ca2+ release with an IC50 of 0.3 mM and lowered Ca2+ sensitivity for activation. The EC50 for Ca2+ was increased to 5, 10, and 20 µM by 0.4, 0.8, and 1.6 mM Mg2+, respectively.



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FIGURE 4   Effect of Mg2+ on the Ca2+ dependence of CICR in skinned muscle fibers. Rate constants of the Ca2+ release from SR using six skinned fibers were determined in the Cl medium containing 4 mM AMP and various Ca2+ concentrations. Effects of various Mg2+ concentrations were examined: 0 (open circle ), 0.4 (triangle ), 0.8 (), or 1.6 mM (down-triangle) Mg2+. The results, corrected for as described in Materials and Methods, are plotted. pH was adjusted to 7.0 for these experiments. Parameters determined according to the procedure described in Fig. 1 were kmax = 7.0 min-1, KA,Ca = 3.2 µM, nA,Ca = 1.6, KI,Ca = 1.1 mM, KI,Mg = 0.42 mM, KA,Mg = 0.15 mM. The drawn lines are curves calculated for indicated Mg2+ concentrations, using these parameters. nI,Ca, nA,Mg, and nI,Mg were fixed at 1.0 in these simulations.

We also followed the procedure of analysis in the case of [3H]ryanodine binding. kmax and k'app, however, replace Bmax and B in Eqs. 1-3, respectively. kmax is the maximum value of k'app. The curve for circles in the absence of Mg2+ (Fig. 4) was drawn by using KA,Ca = 3.2 µM, nA,Ca = 1.6, KI,Ca = 1.1 mM, and kmax = 7.0 min-1 as the best fit parameters. In this calculation, we assumed nI,Ca to be unity in all of the skinned fiber experiments, because determinations with 21 fibers gave an average of 0.92 ± 0.15 (mean ± SD) for the parameter. This conclusion is consistent with the results of [3H]ryanodine binding (Table 2). The Hill coefficient for the A-site, nA,Ca, was calculated as a parameter to be determined, because it varied between 1.0 and 2.0, depending on species and concentrations of adenine nucleotides. Using the parameters for Ca2+ described above (KA,Ca, nA,Ca, KI,Ca), the relation between k'app and Mg2+ concentration in the presence of 63 µM Ca2+ (pCa 4.2) was analyzed according to Eq. 3. The best fit was obtained when the dissociation constant of the I-site for Mg2+ (KI,Mg) was 0.42 mM. Furthermore, a KA,Mg of 150 µM was obtained according to Eq. 1 on the basis of Mg2+-dependent inhibition of k'app at pCa 5.2. Hill coefficients, nA,Mg and nI,Mg, were also fixed at 1.0, based on the results of [3H]ryanodine binding (Table 2). To verify whether the parameters obtained here explain all of the data at various concentrations of Ca2+ and Mg2+, CICR activity was recomputed using these parameters, and curves for 0.4, 0.8, and 1.6 mM Mg2+ were drawn in Fig. 4. All of the CICR activity determined in the presence of varied Ca2+ and Mg2+ is consistent with the values anticipated by the model. A similar set of parameters was also obtained all at once, using the 3D curve fitter (Sigma Plot, version 5, for Macintosh) as mentioned above (data not shown), supporting the assumption that the appropriate values for the parameters were obtained by the three-step procedure. We would like to point out that the corrected kapp (k'app) was used here as described in Materials and Methods. This correction was significant at pCa 2.5 and 3.0. Without this correction, KI,Ca and nI,Ca would be 80% larger and 16% smaller, respectively. Other parameters (KA,Ca, nA,Ca, KA,Mg, nA,Mg, KI,Mg, and nI,Mg) were not significantly affected by the correction. Table 3 (the first group) summarizes similar experiments at pH 6.8 with varied AMP concentrations.


                              
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TABLE 3   Summary of parameters for Ca2+ and Mg2+ of the A- and I-sites and kmax, which were determined from CICR experiments with skinned fibers

The stimulatory principle of an adenine nucleotide: free or bound form

Adenine nucleotides such as ATP, AMPPCP, ADP, and AMP are believed to stimulate CICR through the common responsible site(s) (Endo, 1981). To assess the effect of Mg2+ on Ca2+ release in situ, CICR activity should be determined in the presence of ATP. Its use, however, prevents us from analyzing clearly the Ca2+ release itself because it also drives Ca2+ uptake by activating the Ca2+ pump. Therefore, we performed experiments in the presence of AMPPCP, a nonhydrolyzable ATP analog, which is very similar to ATP in stimulating Ca2+ release but does not support Ca2+ uptake (Kakuta, 1984). For these experiments, we used methanesulfonate salt medium (Ms medium) instead of Cl medium because the latter has been reported to have some stimulating effects on RyR (Meissner et al., 1997). In our experiments with skinned fibers, however, there were no significant differences in the Ca2+ sensitivities of activation and inactivation sites between the two media, while kmax in the Ms medium was slightly smaller than that in the Cl medium (averaged kmax values in the presence of 4 mM AMP were 5.6 ± 0.5 min-1 (n = 4) and 3.6 ± 1.0 min-1 (n = 3) in Cl and Ms media, respectively).

An obstacle in analyzing the effect of Mg2+ on CICR activity in the presence of AMPPCP is that a substantial fraction of AMPPCP binds Mg2+ and Ca2+ with an apparent KD of ~0.2 mM. Therefore, the question arises whether the nucleotide complexed with a divalent cation is equivalent to free nucleotide in stimulating CICR. To clarify this point, we compared CICR activities in the presence of AMPPCP with those in the presence of AMP, which has a much lower affinity to divalent cations. The top of Fig. 5 A shows the Ca2+ dependence of the relative CICR activities normalized with the values at pCa 4.5 in the presence of 4 mM AMP (filled symbols) and 0.2 mM AMPPCP (open symbols). A suitable set of parameters in Eq. 2 can predict all of the data points, irrespective of AMP or AMPPCP, as shown by the curve in Fig. 5 A. Fractions of free to total nucleotide at various Ca2+ concentrations were calculated and are plotted in the lower panel. A substantial fraction of AMPPCP binds to Ca2+ at calcium concentrations higher than 0.1 mM, whereas AMP is almost free up to 3 mM Ca2+ (bottom panel). The Ca2+ dependences of k'app, however, were not significantly different between the two nucleotides. The IC50 values of Ca2+ were 0.38 ± 0.12 mM and 0.43 ± 0.03 mM in the presence of AMP and AMPPCP, respectively. Similar IC50 values with AMP were also obtained in Cl medium. Fig. 5 B shows the Mg2+-dependent inhibition of CICR activities in the presence of AMP or AMPPCP at 90 µM Ca2+, where the activation site was expected to be fully saturated with Ca2+. The Mg2+ dependence with AMPPCP was very similar to that with AMP. The IC50 values of Mg2+ were 0.52 ± 0.09 mM and 0.44 ± 0.03 mM in the presence of AMP and AMPPCP, respectively. The fraction of free AMPPCP, however, was much less than that of AMP in the range of [Mg2+] > 0.1 mM (bottom panel). These results are consistent with the idea that free AMPPCP, MgAMPPCP, and CaAMPPCP are equally potent in stimulating CICR. Therefore, in the following experiments we calculated the affinities of the A- and I-sites for Ca2+ and Mg2+ under the assumption that the free and complexed forms of AMPPCP are equivalent to each other in stimulating CICR.



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FIGURE 5   Comparison of effects of AMP and AMPPCP on Ca2+ and Mg2+ dependences of CICR in skinned fibers. (A) Ca2+ dependence in the absence of Mg2+. The top panel shows Ca2+ dependence of the relative k'app, which was normalized with the value at pCa 4.5. CICR was determined in the Ms medium containing 4 mM AMP () or 0.2 mM AMPPCP (open circle , , triangle , down-triangle, diamond ). Different symbols indicate different preparations. The bottom panel indicates the calculated fractions of the free form to total AMP () or AMPPCP (open circle ). AMP is mostly in the free form, whereas the complexed form of AMPPCP makes up a considerable fraction of the total. The solid line in the top panel was drawn based on data with 0.2 mM AMPPCP according to Eq. 2, where the parameters were KA,Ca = 3.9 µM, nA,Ca = 1.4, KI,Ca = 0.43 mM, and nI,Ca = 1. (B) Mg2+-dependent inhibition in the presence of 90 µM Ca2+ is shown in the top panel, and the calculated ratio of free to total nucleotide is shown in the bottom panel. The results were normalized with those in the absence of Mg2+. The drawn line shows the curve of Eq. 3 best fit to data with 0.2 mM AMPPCP, where parameters were KI,Mg = 0.36 mM and nI,Mg = 1.0, in addition to those determined in A. Note that CICR activities in the presence of AMP and AMPPCP showed very similar Ca2+ (A) and Mg2+ dependences (B), although their ratio of the free form to total nucleotides was very different in the presence of high concentrations of Ca2+ and Mg2+.

We examined the effect of AMPPCP on each of the parameters for CICR in situ by determining the Ca2+ release in the presence of various concentrations of AMPPCP. Initially, we determined the dependence of k'app on AMPPCP concentration at pCa 4.05, which was around the optimum concentration (Fig. 6 A). In the absence of AMPPCP, the k'app was very small (0.1-0.3 min-1). The k'app determined in a single fiber increased with increase in AMPPCP concentration up to 3 mM (Fig. 6 A, open circles). At a concentration higher than 3 mM, k'app was too great to be reliable in our experimental system. Results in Fig. 6 A (open circles) can be satisfactorily predicted by the conventional law of the mass reaction with an apparent dissociation constant (5 mM) and the saturated value for k'app (53 min-1). Similar results were obtained in three different fibers. The averages for k'app values in the presence of 0.2 and 1 mM AMPPCP were 2.1 ± 0.8 (n = 9) and 13.2 ± 2.0 (n = 6) min-1, respectively (filled circles). In the presence of 1 mM Mg2+, a similar dose-dependent increase in CICR was also observed at pCa 4.05 (Fig. 6 A, open triangles).



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FIGURE 6   (A) Dose-dependent potentiation of CICR by AMPPCP. The k'app values were determined in the Ms medium containing 90 µM Ca2+ and various levels of AMPPCP with (triangle ) or without (open circle ) 1 mM Mg2+, using different single fibers. Solid lines correspond to simple equations of the law of mass reaction with a dissociation constant and a saturated value for k'app of, respectively, 5 mM and 53 min-1 in the absence of Mg2+ and 10 mM and 11 min-1 in its presence. , Average with SE of all determinations (n = 9 and 6 for 0.2 mM and 1 mM AMPPCP, respectively) in the absence of Mg2+, including the results of open circles. These results suggest that k'app in the presence of 4 mM AMPPCP would be ~35-50 min-1 at pCa 4.05. (B) Normalized Ca2+-dependent k'app values in the presence of 0.2 mM (open circle ) or 1 mM AMPPCP (black-diamond ). Parameters in Eq. 2 that would give a best fit are listed in Table 3. Note that the two fitted curves are very similar to each other. The averaged kmax values were 2.9 min-1 and 18 min-1 in the presence of 0.2 mM and 1 mM AMPPCP, respectively.

The Ca2+-dependent k'app values in the presence of 0.2 mM and 1 mM AMPPCP were normalized by each peak value in Fig. 6 B. They were homologous to each other in their Ca2+ dependences. The second group in Table 3 summarizes the results of analysis according to Eqs. 1-3 of determinations with 0.2 and 1 mM AMPPCP in the presence of various Ca2+ and Mg2+ concentrations. As AMPPCP was increased from 0.2 to 1 mM, kmax was enhanced as much as sixfold. Neither KA,Ca nor KI,Ca, however, was significantly affected. This result was in accordance with previous reports of unchanged Ca2+ dependence with skinned fibers (Endo, 1981) and with [3H]ryanodine binding to SR vesicles (Ogawa and Harafuji, 1990). The Hill coefficient of the A-site (nA,Ca), however, appears to be slightly smaller at a higher concentration of AMPPCP: 1.4 and 1.2 at 0.2 mM and 1 mM AMPPCP, respectively. The average of KI,Mg at 1 mM AMPPCP was 0.18 ± 0.02 mM (ranging from 0.13 to 0.22 mM), while that at 0.2 mM was 0.36 ± 0.03 mM (ranging from 0.26 to 0.46 mM). Under the experimental conditions where Mg2+ and AMPPCP were used, some variations of the KD values for Mg2+ of AMPPCP may lead to a different conclusion. For example, if pKMg is 4.38, which is two times larger than what we used (4.68), the range of KI,Mg would be 0.27-0.49 mM and 0.17-0.28 mM in the presence of 0.2 mM and 1.0 mM AMPPCP, respectively. We may conclude that the affinity of the I-site for Mg2+ was similar between 0.2 and 1 mM AMPPCP. This is also the case with the affinity of the A-site for Mg2+ (Table 3). It should also be noted that k'app in the absence of Ca2+ (10 mM EGTA, pCa ~9) at 1.0 mM AMPPCP (0.17 ± 0.07 min-1, n = 3) was significantly higher than that at 0.2 mM AMPPCP (0.03 ± 0.02 min-1, n = 4). This activity was completely suppressed by less than 1 mM Mg2+. As AMPPCP was increased, Ca2+ release in the virtual absence of Ca2+ was more prominent, but it would be only a minor fraction (no more than 1%) of the peak rate of CICR (data not shown). In summary, the stimulating effect of adenine nucleotides such as AMP and AMPPCP can be explained by enhanced kmax, but affinities for Ca2+ and Mg2+ of A- and I-sites remain unchanged, being independent of the concentrations of nucleotides. This conclusion was proved regardless of the medium used (Ms or Cl) (data not shown).

Effect of caffeine

We then examined the effect of caffeine on CICR in skinned fibers in the presence of varying amounts of Ca2+ and Mg2+ (Fig. 7), and the results are summarized in the third group of Table 3. Fig. 7 A shows the potentiating effect of 5 mM caffeine on the Ca2+-dependent CICR activity in the presence of 0.2 mM AMPPCP. Caffeine had two distinct effects: it increased the maximum rate constant of Ca2+ release by fourfold (kmax = 2.9 versus 11.2 min-1) (Fig. 7 A, inset) and increased the sensitivity of the Ca2+ activation (KA,Ca = 3.0 versus 0.4 µM) by sevenfold (Fig. 7 A). The averaged affinity of the I-site for Ca2+ appeared to be lowered to one-third by caffeine (KI,Ca = 0.40 versus 1.2 mM) (Fig. 7 A). However, significant differences were not detected (p > 0.05, t-test) between normalized values in the presence and absence of caffeine at pCa < 4.5, except for pCa 3.0, because the experimental variation was large at higher Ca2+ concentrations (Fig. 7 A). The same conclusion was also obtained by ANOVA analysis (p approx  0.09) with StatView 5.0 for Macintosh.



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FIGURE 7   Effect of caffeine on the affinities of A- and I-sites for Ca2+ and Mg2+. All determinations were carried out in the Ms medium containing 0.2 mM AMPPCP. (A) Normalized Ca2+-dependent k'app values in the presence () and absence (open circle ) of 5 mM caffeine. *Significant difference between their normalized values (p < 0.05). Parameters that would give the best fits are listed in Table 3. Determined values of k'app are plotted in the inset. Note that caffeine enhanced the Ca2+ sensitivity for activation by sevenfold and the k'app at the optimal Ca2+ concentrations by fourfold. (B) Inhibition by Mg2+ in the presence and absence of 5 mM caffeine. Determinations were carried out at the pCas indicated by arrows in A (open arrows, no caffeine; filled arrows, 5 mM caffeine). Rate constants of CICR at various concentrations of Mg2+ in the absence of caffeine (------) were determined at pCa 4.05 (open circle ) and 5.44 (triangle ) whereas in the presence of caffeine (- - -) at pCa 4.56 () and 6.03 (black-triangle). The results were normalized by the value in the absence of Mg2+ in each series of determinations. Best-fit parameters in Eqs. 1-3 are listed in the third section of Table 3.

The inhibition by Mg2+ of the CICR activity determined at Ca2+ concentrations where the occupation with Ca2+ of the A-site was hardly affected by Mg2+ (pCa 4.56 and 4.05, in the presence and absence of caffeine, respectively) is shown in Fig. 7 B (the two right curves with circles). The normalized Mg2+ dependence in the presence of caffeine (Fig. 7 B, filled circles) was very similar to that in its absence (Fig. 7 B, open circles), although the absolute k'app values were increased severalfold by caffeine. KI,Mg values determined by Eq. 3 were not significantly changed by caffeine (KI,Mg = 0.31 versus 0.36 mM). The two left curves (triangles) in Fig. 7 B represent the Mg2+ dependences obtained at Ca2+ concentrations that gave ~60% of the maximum activity (pCa 6.03 and 5.44, with and without caffeine, respectively). The curve in the presence of caffeine (Fig. 7 B, filled triangles) was not significantly different from that in the absence of caffeine (Fig. 7, open triangles). Taken together, similar Mg2+ dependences under the two specified conditions indicate that caffeine does not change the affinity for Mg2+ of the A- or I-sites. Actually, calculated KA,Mg in the presence of caffeine (74 µM) was also indistinguishable from that without caffeine (97 µM). In contrast to the case for Ca2+, the affinity for Mg2+ of the A-site was not affected by caffeine. In the presence of 1 mM AMP in the Cl medium, very similar results were also observed for the effect of caffeine: an approximately sixfold increase in kmax and an approximately sixfold reduction in KA,Ca without a significant change in other parameters (Table 3). The four- to sixfold enhancement of kapp by 5 mM caffeine at the optimal Ca2+ was consistently obtained in the presence of 0-10 mM AMP (data not shown). These observations indicate that caffeine and adenine nucleotide may act independently through the different underlying mechanisms. This is consistent with previous reports (Endo, 1981; Sitsapesan and Williams, 1990; Coronado et al., 1994; Meissner, 1994; Ogawa, 1994; Sutko and Airey, 1996).

    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

It is well known that Mg2+ decreases the biphasically Ca2+-dependent CICR activity of the Ca2+ release channel (RyR) with a shift to a higher Ca2+ concentration range. However, there was no quantitative consideration on this matter until recent investigations made by Laver et al. (1997) and Meissner et al. (1997). During the course of this investigation, we have learned that there are some possible reasons for the difficulty. One of these is a substantial overlap between the Ca2+ activation curve, fA, and the Ca2+ inactivation curve, (1 - fI). As shown in Fig. 8 A, Mg2+ affects the fA and (1 - fI) curves differently. These effects of Mg2+ in particular make determination of the parameters difficult without numerous systematic experiments such as those shown here. To be freed from this difficulty, Meissner et al. (1997) performed experiments under different conditions to obtain separately parameters for the A- or I-site: some determinations were carried out in a solution containing 0.5 M choline chloride, where the contribution of the I-site was claimed to be negligible. It is still unclear, however, whether these parameters can be valid in situ, because the sensitivities for Ca2+ and Mg2+ were largely affected by several factors, including ionic species and their concentrations (Murayama and Ogawa, 1996; Ogawa et al., 1999). Laver et al. (1997), on the other hand, determined these parameters with cardiac RyR, where the inactivation by Ca2+ and Mg2+ was claimed to be weak, and extended these findings to the skeletal muscle RyR to obtain a simplified relationship with a necessary approximation.



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FIGURE 8   Simulations of effects of Mg2+ on the CICR activity in situ and analysis of the occupancy by divalent cations of the A- and I-sites. (A) The fractions of Ca2+-occupied A-site (fA) and vacant I-site (1-fI) and the anticipated CICR activity (k = kmax × fA × (1 - fI)) were calculated in the presence or absence of 1 mM Mg2+. fA (- - -), 1 - fI (·····), and k (------) were calculated as a function of free Ca2+, using the following parameters, which are assumed to be those for the Ca2+ release channel of SR in situ: kmax = 45 min-1; KA,Ca = 2.5 µM; nA,Ca = 1; KI,Ca = 0.4 mM; nI,Ca = 1; KA,Mg = 75 µM; nA,Mg = 1; KI,Mg = 0.3 mM; nI,Mg = 1. We assumed nA,Ca to be 1 in the presence of 4 mM AMPPCP, based on the finding that nA,Ca values decreased with an increase in AMPPCP concentration (from 1.4 at 0.2 mM to 1.2 at 1 mM; see Table 3). Mg2+ (1 mM) shifts curve fA rightward along the abscissa to decrease the apparent Ca2+ sensitivity and reduces (1 - fI) throughout all Ca2+ concentrations, resulting in thedecreased peak value. (B and C) The probabilities of occupancy by divalent cations of A- (B) and I- (C) sites were calculated as a function of free Ca2+ in the presence of 1 mM Mg2+. The same parameter values as those in A were used for calculation. See text for details.

We performed systematic [3H]ryanodine binding experiments with alpha - and beta -RyRs purified from frog skeletal muscle in the presence of various concentrations of Ca2+ and Mg2+ in an isotonic medium that simulated the characteristics of the sarcoplasm as far as possible and determined the parameters according to the three-step procedure with the aid of computer simulation. The [3H]ryanodine binding activity in an isotonic salt solution is too low to be precisely analyzed in the absence of any stimulator other than Ca2+ (Murayama and Ogawa, 1996). Here, AMP was used to increase the activity without a significant change in Ca2+ dependence. The adenine nucleotide has another advantage in that it shows very weak affinity for Ca2+ and Mg2+. Another important precaution is to keep the ionic strength of the medium constant, because the activity in the presence of high concentrations of Ca2+ and Mg2+ may otherwise be changed. After these considerations, the parameters for Ca2+ and Mg2+ of the two Ca2+ sites on individual isoforms can be obtained under the same conditions. To know the parameters for the Ca2+ release channel in situ that maintain the organization of RyR and related proteins, furthermore, we measured the CICR activity, using frog skinned skeletal muscle fibers under conditions as close as possible to those of the physiological environment. In analyzing these results, we took advantage of the determinations of nA,Mg = nI,Ca = nI,Mg = 1 in [3H]ryanodine binding experiments, because more laborious maneuvers of CICR experiments impeded such numerous determinations, as in [3H]ryanodine binding.

All of the results obtained are summarized in Table 2 for [3H]ryanodine binding experiments and in Table 3 for CICR from SR in frog skinned skeletal muscle fibers.

Comparison between Ca2+ release channel in SR and purified RyR

Table 2 shows that alpha - and beta -RyRs are very similar in the values for all parameters in the presence of 4 mM AMP. This means that there was only a minor difference at most in the Ca2+-dependent [3H]ryanodine binding and its modulation by Mg2+ between the two isoforms. Frog skeletal muscles express the two isoforms in almost equal amounts (Murayama and Ogawa, 1992; 1994). This indicates that both alpha - and beta -RyRs contribute to the CICR activity in frog skinned skeletal muscle fibers, although we cannot exclude the possibility that either isoform might be silent in situ.

Comparison of Tables 2 and 3 tells us that purified RyR shows lower affinities for Ca2+ and Mg2+ than does the Ca2+ release channel in SR: KA,Ca (~10 µM versus ~3 µM), KA,Mg (~300 µM versus ~70 µM), KI,Ca and KI,Mg (~2 mM versus ~0.4 mM). However, KA,Mg/KA,Ca (= 10-30) and KI,Mg/KI,Ca (= 1) remained constant. This means that the selectivity between Ca2+ and Mg2+ in each of the A- and I-sites was unchanged, although their affinities for divalent cations were varied. Addition of CHAPS to SR vesicles and the following process of purification altered the Ca2+ sensitivity of both A- and I-sites (Ogawa et al., 1999). Changes in the environment around RyRs (e.g., phospholipids, detergent, associating protein(s), and so on) may affect properties of the RyR molecule or Ca2+ release channels. We would like to point out that troponin C in the thin filament shows a 10-fold higher affinity for Ca2+ than purified troponin C (Ebashi and Ogawa, 1988).

Effect of adenine nucleotides on the activity of RyR

Although ATP is thought to be an endogenous activator of RyR in situ, it has not been known whether MgATP is as potent as free ATP in stimulating RyR. The comparison of divalent cation dependencies in the presence of AMP and AMPPCP (Fig. 5) suggests that free AMPPCP, CaAMPPCP, and MgAMPPCP are equipotent in stimulating CICR. Because AMPPCP and ATP are reported to be very similar in this stimulation (