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Cardiovascular Research Laboratories, Bristol Heart Institute, and Department of Physiology, School of Medical Sciences, University of Bristol, Bristol BS8 1TD, United Kingdom
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ABSTRACT |
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The characteristics of
nickel (Ni) block of L-type Ca current (ICa,L)
were studied in whole cell patch-clamped guinea pig cardiac myocytes at
37°C in the absence and presence of 100 µM cAMP in the pipette
solution. Ni block of peak ICa,L had a
dissociation constant (Kd) of 0.33 ± 0.03 mM in the absence of cAMP, whereas in the presence of cAMP, the
Kd was 0.53 ± 0.05 mM (P = 0.006). Ni blocked Ca entry via Ca channels (measured as
ICa,L integral over 50 ms) with similar kinetics
(Kd of 0.35 ± 0.03 mM in cAMP-free solution and 0.30 ± 0.02 mM in solution with cAMP,
P = not significant). Under both conditions, 5 mM Ni
produced a maximal block that was complete for the first pulse after
application. Ni block of ICa,L was largely use
independent. Ni (0.5 mM) induced a positive shift (4 to 6 mV) in the
activation curve of ICa,L. The block of
ICa,L by 0.5 mM Ni was independent of prepulse
membrane potential (over the range of
120 to
40 mV). Ni (0.5 mM)
also induced a significant shift in ICa,L
inactivation: by 6 mV negative in cAMP-free solution and by 4 mV
positive in cells dialyzed with 100 µM cAMP. These data suggest that,
in addition to blocking channel conductance by binding to a site in the
channel pore, Ni may bind to a second site that influences the
voltage-dependent gating of the L-type Ca channel. They also suggest
that Ca channel phosphorylation causes a conformational change that
alters some effects of Ni. The results may be relevant to
excitation-contraction coupling studies, which have employed internal
cAMP dialysis, and where Ni has been used to block
ICa,L and Ca entry into cardiac cells.
divalent; patch clamp
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INTRODUCTION |
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THE VOLTAGE-GATED L-type Ca channel plays key roles in cardiac muscle (2, 3, 31). It is activated during the upstroke of the cardiac action potential (AP), and inward Ca current through the L-type channel (L-type Ca current; ICa,L) is responsible partly for the characteristic long plateau phase of the cardiac AP (22). Transmembrane Ca entry during flow of ICa,L is thought to be the primary trigger for "Ca-induced Ca release" (CICR) from the sarcoplasmic reticulum (SR) (6, 7) and is an important source of Ca for loading of the SR (3).
Divalent ions are well-known blockers of the L-type Ca channel (21, 34), causing a flicker-type block as they bind to and dissociate from the binding site in the channel pore (21, 34). Divalent ions have been used previously to investigate the role of ICa,L in cardiac muscle (4, 25, 33). Of the different divalent ions, nickel (Ni) may be particularly useful for elucidating the role of Ca entry in cardiac muscle because it blocks both the L-type Ca channel and the Na/Ca exchange (15, 18). However, little is known about the characteristics of Ni block of ICa,L in cardiac muscle (such as the concentration and use dependence and voltage dependence of block), especially at a physiological temperature of 37°C.
-Adrenergic stimulation is well known to increase cardiac
contractility (3). The resulting increase in cAMP
phosphorylates the L-type Ca channel (17), the SR Ca pump
(19), and the ryanodine receptor (26), and
each of these may play a role in the positive inotropic effect. It has
also been suggested that increased cAMP may induce an additional SR
release mechanism separate from CICR, which may not require Ca entry
(10, 16). In these studies, external Ni was
used to block Ca entry. However, a possibility remained that in cells
with a raised level of cAMP and phosphorylated Ca channels, the
efficacy of Ni for blocking ICa,L might become altered (as has been reported for organic Ca-channel blockers; see
Refs. 23 and 27). This provided a second reason for investigating the
blocking effect of Ni on the phosphorylated Ca channel.
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METHODS |
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Myocytes were isolated from the ventricles of guinea pig heart as described previously (16). Cells were kept at room temperature in 1 mM Ca solution until use and usually survived well for up to 8 h.
Electrical recording and rapid solution switches. Cells were placed in a Perspex chamber and superfused at 37°C with Tyrode solution containing (in mM) 140 NaCl, 5 HEPES, 10 glucose, 4 KCl, 2.5 CaCl2, and 1 MgCl2, titrated to a pH of 7.4 with NaOH. After the whole cell configuration had been obtained, the cell superfusate was changed by use of a warmed rapid-switcher device (24). During the experiments, we used a K-free external solution (to inhibit K currents), to which we added different Ni concentrations.
Patch pipettes manufactured from Corning 7052 glass (AM Systems, Everett, WA) were pulled (Micropipette puller, model no. P-87; Sutter Instrument) and fire polished to between 1 and 2 M
(Narashige MF 83 microforge). Patch-clamp recordings (12) in the whole cell
mode were made with the use of an Axopatch 200A amplifier with a CV202A
headstage (Axon Instruments). Compensations were made for cell
capacitance and series resistance, and typically we could correct for
70-80% of series resistance.
The basic cesium-based pipette filling solution contained (in mM) 70 cesium aspartate, 40 CsCl, 10 HEPES, 2.5 KH2PO4, 4 MgATP, and 5 1,2-bis(2-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid (BAPTA) and was titrated to a pH of 7.2 by addition of CsOH. The free
Mg concentration was 0.4 mM (a concentration within the normal physiological range; see Ref. 5), and MgATP concentration was 3.6 mM
(calculated with the use of Maxchelator for Windows software version
1.2; see Ref. 3). The pipette solution was Na free to attenuate reverse
Na/Ca exchange. In some experiments, we added 100 µM cAMP
(8-bromo-cAMP; Sigma) to the pipette solution. The "pipette-to-bath" liquid junction potential was
7.5 mV and was corrected before giga-seal formation.
Data analysis and statistics. Voltage-clamp protocols were generated with the use of the program pCLAMP (version 6) via a Digidata 1200A interface (Axon Instruments). Data were recorded on-line and also on a digital data recorder (Instrutech VR-100B, Great Neck, NY), and analysis was performed with the use of pCLAMP6 or AXOSCOPE (version 1.1). Each individual observation was made in myocytes from at least two different guinea pigs to exclude differences that may be due to variations between hearts and cell isolations on each day. Data are expressed as means ± SE, and for statistical analysis we used Student's t-test (variances not assumed equal) and one-way ANOVA. A value of P < 0.05 was taken as significant.
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RESULTS |
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Experimental protocol.
Figure 1A shows the voltage
protocol used. From a holding potential of
80 mV, we applied a
two-step pulse protocol every 3.25 s; the prepulse depolarization
was to
40 mV for 200 ms (to inactivate Na-channel current;
INa) and was followed by a 500-ms test pulse to
+10 mV. Figure 1A shows records from cells dialyzed with
cAMP-free (left) and 100 µM cAMP-containing
(right) pipette solution. ICa,L
amplitude was measured as the difference between the peak inward
current and the current at the end of the 500-ms pulse
(17). In this way, the cAMP-activated Cl current
(which is known to be time independent; see Ref. 13) did not interfere with ICa,L measurement.
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Dose-response relationship for Ni block of ICa,L.
Figure 1B shows that in a cell dialyzed with cAMP-free
solution, ICa,L was inhibited in a
dose-dependent fashion by Ni. With 5 mM Ni, inhibition was complete and
Ni block was rapidly reversible on wash off (within one depolarization;
data not shown). In Fig. 1D, we plotted the fractional
inhibition of ICa,L as
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(1) |
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(2) |
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Effect of Ni on time course of ICa,L inactivation.
The time course of ICa,L inactivation (with
pulses to +10 mV) became changed in the presence of Ni (i.e., Fig.
1C). We fitted ICa,L inactivation
with a double exponential function (Fig.
2A) (17)
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(3) |
1 and
2 are the maximal amplitudes and
time constants of the two exponentials, respectively, and C is the
residual current; t is time. In cells dialyzed with
cAMP-free solution and in the absence of Ni,
1 = 20.80 ± 2.02 and
2 = 100.7 ± 7.5 ms
(n = 15). The faster component accounted for 0.60 ± 0.06 of total inactivation [calculated as
A1/(A1 + A2)]. Figure 2B illustrates the
dose-dependent effect of Ni on
1 and
2.
[Ni] between 0.03 and 1 mM had little effect on
1 but
produced a dose-dependent increase in
2. Ni had no
significant effect on the fraction of ICa,L
inactivation due to each component.
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1 = 10.96 ± 1.30 and
2 = 83.44 ± 3.68 ms (P < 0.05 for both, unpaired Student's t-test vs. cAMP-free conditions;
n = 15). ICa,L inactivation (0.55 ± 0.02) was due to the faster component
(P = not significant vs. cAMP-free solution;
n = 15 cells). In cells dialyzed with cAMP, Ni
decreased
1 and increased
2 in a
dose-dependent fashion (n = 5-6; Fig.
2C) without changing the proportion of
ICa,L inactivation due to each component.
Is Ni block of ICa,L use dependent?
Different organic ICa,L antagonists show varying
degrees of use dependence (e.g., see Ref. 14); therefore, we
investigated the possible use dependence of the Ni block. The protocol
used consisted of two parts: 1 min at
80 mV followed by a train of 10 double-step depolarizations (at 0.3 Hz). The protocol was applied first
in control and then in the presence of 0.1 or 0.5 mM Ni. We determined
the fractional inhibition at each pulse by comparing ICa,L under Ni to ICa,L
elicited by the same pulse in control. Figure 2D shows
ICa,L elicited (in a cell dialyzed with
cAMP-free solution) by the first, fifth, and tenth pulse (respectively) in control solution and with 0.1 and 0.5 mM Ni. If the Ni block of
ICa,L was use dependent, then the fractional
inhibition obtained during the first pulses should be less than that
obtained later in the train. For cAMP-free conditions, 0.1 and 0.5 mM
Ni had a substantial effect on ICa,L elicited by
the first pulse, and the fractional inhibition remained similar
throughout the train (Fig. 2E). If we denote, for each
[Ni], the fractional inhibition obtained during the last pulse as
maximal, 100% of this was obtained during the first pulse with 0.1 mM
Ni and 81% for 0.5 mM Ni. For cells dialyzed with 100 µM cAMP (Fig.
2F), the block by 0.1 mM Ni was constant during the train.
Ni (0.5 mM) produced 73% of its maximal inhibition during the first
pulse, and degree of inhibition increased slightly during the train.
Thus, both in the absence and presence of internal cAMP, the block of
ICa,L by 0.1 mM Ni was not use dependent. The
block by 0.5 mM Ni seemed to have two components: a large one
(73-81%) not use dependent and a smaller use-dependent component
(19-27%).
Is Ni block of ICa,L dependent on external Ca
concentration?
If Ni block of ICa,L involved displacement of Ca
from intrapore binding sites, it should be competitive with external Ca
concentration([Ca]o). We assessed the fractional
inhibition produced by 0.5 mM Ni when we changed [Ca]o
from 2.5 to 0.8 and 8 mM. Figure
3A illustrates the typical
effect of 0.5 mM Ni (in a cell dialyzed with cAMP) in the presence of
2.5 (top left) and 0.8 mM [Ca]o (top
right). Lowering [Ca]o produced a reduction in
control ICa,L and a larger inhibition by 0.5 mM
Ni. Thus Ni inhibition of ICa,L was facilitated by reducing [Ca]o. Figure 3A, bottom
left and right, shows in a different cell that
increasing [Ca]o from 2.5 (left) to 8 mM (right) had the opposite effect: inhibition of
ICa,L produced by 0.5 mM Ni was decreased.
Figure 3B demonstrates that both with and without cAMP, Ni
block of ICa,L became larger when
[Ca]o was decreased and less when [Ca]o was
increased.
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Effect of pulse potential on Ni block of ICa,L.
We investigated whether Ni block of ICa,L might
be voltage dependent, as expected if Ni was an open-channel blocker and
as described previously (34). We varied the test potential
between
30 and +60 mV, in 10-mV steps (Fig.
4A). This was applied under control conditions and with 0.1 and 0.5 mM Ni. In cells dialyzed with
cAMP-free solution, in the absence or presence of Ni,
ICa,L reached a maximum between 0 and +20 mV and
decreased at more positive potentials (Fig. 4, B and
C). We calculated ICa,L conductance (G), as:
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(4) |
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(5) |
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10 and +60 mV (see DISCUSSION).
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20 mV, reached a peak close to 0 mV (more
negative than without cAMP), and decayed at positive potentials (Fig.
4F). A 0.5 mM concentration of Ni (but not 0.1 mM Ni)
shifted the peak of the current-voltage curve more positive by ~10
mV. In Fig. 4G, we plotted ICa,L
activation variable against membrane potential. Under control
conditions, V0.5 was 10 mV more negative, and
the slope of the activation was steeper than in the absence of cAMP (Table 3). Ni (0.1 mM) induced a slight
negative shift in V0.5, whereas 0.5 mM Ni
shifted V0.5 positively. In Fig. 4H,
the fractional inhibition of ICa,L with 0.5 mM
Ni was larger at
10 mV and fell at more positive potentials. However,
for both 0.1 and 0.5 mM Ni, there was no significant difference
inhibition at all potentials more positive than 0 mV (see
DISCUSSION).
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Effect of prepulse potential on the Ni block of ICa,L.
We also investigated whether Ni block was dependent on the availability
of the L-type channel (34). To do this, we utilized a
protocol in which we varied the prepulse potential. After a two-step
protocol (the "reference;" see Fig.
5A), we held the cell membrane
at different potentials (between
120 and +5 mV, the "prepulse"
potential) for 3 s, after which we applied a depolarization to +10
mV (the "test" pulse). We normalized test
ICa,L to the reference
ICa,L, to take into account any run down or slow
inactivation of ICa,L. TTX (60 µM) was added
to inhibit INa. After a run in control solution,
we applied a solution containing 0.5 mM Ni and reapplied the protocol.
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120
and
40 mV (Fig. 5A). The records are taken from a cell dialyzed with 100 µM cAMP solution. In the absence of Ni, there was
no ICa,L inactivation from these potentials
(data not shown). Variation of prepulse potential between 120 and
40
mV had little effect on ICa,L recorded in the
presence of 0.5 mM Ni. Similar results were observed in cells dialyzed
with cAMP-free solution. Mean data (n = 4 cells; Fig.
5, C and D) show test
ICa,L (as a fraction of reference
ICa,L) plotted against the prepulse membrane potential. The lack of effect on ICa,L amplitude
demonstrates that block by Ni was unaffected by prepulse potential.
In a second experiment, we investigated the effect of 0.5 mM Ni on the
voltage dependence of ICa,L inactivation.
ICa,L elicited from prepulse potentials between
40 and
10 mV, in control and in the presence of 0.5 mM Ni (in the
same cell), are shown in Fig. 5E for a cell dialyzed with
cAMP-free solution. ICa,L was normalized to the
reference, and average data (n = 6) were plotted against prepulse membrane potential and fitted with a Boltzmann equation for steady-state inactivation (Fig. 5F)
(17)
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(6) |
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DISCUSSION |
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In this study we investigated the characteristics of block of L-type Ca channels by external Ni. We performed experiments both in the absence and presence of dialyzing cAMP to determine whether phosphorylation might alter the properties of Ni block.
Basic characteristics of Ni block. Ni block of ICa,L was rapid. Particularly for high [Ni], such as 3 and 5 mM, block of ICa,L was maximal and complete for the first pulse after application. This suggests that Ni acts at a site on the Ca channel that is close to the external surface or on one that has good access from the external surface. Ni block of ICa,L was also rapidly reversible, with relief from block after wash off largely complete for the subsequent pulse.
Concentration range for Ni block. In cells dialyzed with cAMP-free solution, inhibition of peak ICa,L began to be detectable with 30 µM Ni, and 5 mM Ni produced a maximal inhibition. In the presence of internal cAMP, peak ICa,L was inhibited over a similar [Ni] range; however, the dose-response relation had a slightly higher Kd (0.3 mM for cAMP-free solution vs. 0.5 mM for 100 µM cAMP). We also assessed Ni block of Ca entry via ICa,L by integrating the current during the first 50 ms (which may be more relevant for triggering of CICR; e.g., see Ref. 7). The block by Ni of Ca entry was similar in cells dialyzed with and without internal cAMP, having a Kd close to 0.3 mM. The h close to 1 is at least indicative that there might be one-to-one binding of Ni ions to Ca channels. These data suggest that the fundamental characteristics of Ni block of ICa,L were similar (although not identical) with and without cAMP.
Ni and time course of ICa,L inactivation.
We observed that cAMP and Ni each modified the time course of
ICa,L inactivation. Internal 100 µM cAMP
reduced both
1 and
2, which agrees with
previous studies (29, 30). One explanation might involve the process of Ca-induced inactivation of the Ca channel
(9). Raised internal cAMP increases
ICa,L magnitude and thus Ca entry. This may be
expected to increase the amount of Ca-induced inactivation and would be
consistent with both
1 and
2 becoming
shortened in the presence of cAMP. A second possibility is that a
phosphorylation-dependent change in conformation might modulate
directly the voltage- or Ca-induced inactivation. Both in the absence
and presence of internal cAMP, Ni progressively increased
2. Because Ni inhibits ICa,L and
Ca entry, any Ca-induced inactivation is likely to have become reduced
in the presence of Ni, and this may be one mechanism underlying the
increase in
2 with Ni. We also observed, only in cells
dialyzed with 100 µM cAMP, a decrease in
1 with Ni.
This was in the opposite direction to any increase in
1
that might be expected from reduced Ca-induced inactivation of
ICa,L. It is possible that the decrease in
1 may be consistent with Ni being a fast open-channel
blocker (29, 36). However, it is not easy to
explain why a decrease in
1 was observed only in the
presence of internal cAMP, because Ni should also act as an fast
open-channel blocker in cells dialyzed with cAMP-free solution.
Competition between Ni and external Ca. Using a [Ni] close to the Kd, we found that block was clearly enhanced in the presence of low Ca and reduced by higher Ca. If Ni and Ca acted at different binding sites, then Ni would have blocked a similar proportion of ICa,L in each different Ca concentration. However, both this behavior and the Lineweaver-Burk plot indicated that the Ni effect on ICa,L was best described by a competitive interaction with external Ca. This suggests that Ni and Ca compete for the same binding site, most probably within the pore of the L-type Ca channel (i.e., see Refs. 34 and 36).
Ni and the activation curve of ICa,L. In the presence of cAMP, the activation curve for ICa,L was shifted negatively in agreement with previous studies (e.g., see Refs. 8 and 28). Both in the presence and absence of cAMP, 0.5 mM Ni induced a positive shift in the ICa,L activation curve. Up to +10 mV, there was a larger fractional block of ICa,L by Ni at negative compared with positive potentials.
This apparent voltage dependence of ICa,L block could be due to the positive shift in the activation curve or else to a voltage-dependent interaction between Ni and a binding site on the L-type Ca channel. In the latter case, with positive potentials repelling Ni electrostatically from a binding site, we might expect to observe a progressive reduction in Ni block over a wide voltage range. However, the fractional ICa,L block became constant at voltages more positive than +10 mV. These data suggest that the positive shift in the ICa,L activation curve by Ni may be the primary reason for the apparent voltage dependence of fractional inhibition. This interpretation agrees with a previous study of the effect of Ni on cloned neuronal Ca channels expressed in Xenopus oocytes (36). However, in a study using cell-attached patches of myotubes from a mouse skeletal muscle cell line (34), it was found that the degree of Ni block increased with larger depolarizations. Possible explanations for these differences are discussed below. The shift of the activation curve to more positive values by 0.5 mM Ni could be the result of Ni ions binding to a specific site associated with gating of the Ca channel. Alternatively, it could be due to a change in surface charge with Ni (e.g., see Ref. 11). External divalent ions are well known to shift the activation and inactivation curves of Ca, K, and Na channels to more positive potentials (1, 35). These effects have been explained by the adsorption of cations onto negative surface charges at the outer edge of the membrane. This would result in neutralization of these charges and a steeper voltage gradient across the membrane, shifting the gating parameters of ion channels to more positive potentials. Agus et al. (1) found that 1 mM Ni shifted the inactivation curve for the transient outward K current more positive by 5 mV, and this is in reasonable agreement with the 4- to 6-mV positive shifts we found for the ICa,L activation curve with 0.5 mM Ni.Dependence on holding potential and changes in the inactivation
curve for ICa,L.
Over the range
120 to
40 mV, which is negative to the range over
which ICa,L inactivates, the blocking effect of
Ni was independent of the holding potential, both in the absence and presence of cAMP. As mentioned before, Winegar et al. (34)
found that block was reduced with hyperpolarization, and this was not evident in the present study (see below).
40 mV, Ni shifted
ICa,L inactivation curve, and the direction of
movement depended on the presence of cAMP. In cells dialyzed with cAMP,
0.5 mM Ni shifted the ICa,L inactivation curve
positively by 4 mV. By itself, this appears consistent with a simple
surface charge effect. However, in the absence of cAMP, 0.5 mM Ni
reproducibly shifted the inactivation curve by 6 mV in the
negative direction. This cannot be explained by an effect of
Ni on surface charge and instead suggests that Ni might interact with a
specific binding site on the Ca-channel protein concerned with gating.
These data show that the effect of Ni on ICa,L
is altered by phosphorylation of the channel. At least in the absence
of cAMP, a tentative suggestion is that there might be two binding
sites for Ni on the Ca channel: one in the ion-channel pore and a
second one that modulates voltage-dependent gating.
Comparison with previous studies.
The characteristics of Ni block of ICa,L were
studied previously by Winegar et al. (34) by use of
cell-attached patches of myotubes from a mouse skeletal muscle cell
line. The authors recorded (at room temperature) single Ca-channel
currents carried by Ba and used the dihydropyridine agonist BAY K-8644
to prolong channel open time. Ni induced a "flicker" type of block.
Membrane hyperpolarization increased the rate of unblocking events more than the rate of blocking events, and this led to a reduced affinity for Ni block at negative potentials. Higher concentrations of Ni (>2
mM) also led to a reduction in the amplitude of single-channel current
(34). Extrapolation to whole-cell experiments would suggest that the block of ICa,L by Ni might be
voltage dependent, with a decreased block at negative potentials.
However, we did not observe this in the present study, and instead we
found that Ni block of ICa,L was independent of
the pulse potential between +10 and +60 mV and also independent of the
prepulse potential over the range
120 to
40 mV. The difference is
most likely to result from the different experimental conditions. In
addition, the cardiac L-type Ca channel has a different structure from
the skeletal channel, and the channel may behave differently when high
Ba and BAY K-8644 are used together; it is conceivable that either (or
both) of these factors may alter properties of Ni block.
Relevance of these results for cardiac excitation-contraction coupling. There are two areas in which Ni block of ICa,L is relevant for cardiac excitation-contraction (E-C) coupling. First, Ni has been used in a number of previous studies to block ICa,L and other Ca entry routes (e.g., see Refs. 25, 32, and 33). However, with hindsight, it seems that Ni was used without basic information on its blocking properties being available. For instance, there were no quantitative data for determining the degree of ICa,L block with a given [Ni] and whether Ni block might be voltage dependent. Our intention was to answer these key questions and so provide a rational basis for the future use of Ni in cardiac cells.
A second important reason for quantitatively assessing Ni block of ICa,L is that this will allow recent (and controversial) results in cardiac E-C coupling to be evaluated objectively. In some recent studies, Ni was applied to cardiac cells dialyzed with cAMP at 37°C (16). The (perhaps surprising) observation was that, in the presence of 5-8 mM Ni, membrane depolarization still elicited SR release, even when Ca entry (and thus CICR) might be expected to be abolished. This raised the possibility of a second, Ca entry-independent, release mechanism in heart cells. One alternative hypothesis was that Ni block of ICa,L might be less efficient in cells dialyzed with cAMP. The present study tested directly this possibility and found no supporting evidence.| |
ACKNOWLEDGEMENTS |
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We thank Lesley Arberry for superb help with the myocyte isolation and Dr. Corne Kros (Univ. of Bristol) for helpful discussions.
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FOOTNOTES |
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This work was supported by the British Heart Foundation, the Wellcome Trust, the University of Bristol, and the United Bristol Healthcare National Health Service Trust. I. A. Hobai was awarded a postgraduate scholarship by the University of Bristol and an Overseas Research Studentship Award. J. C. Hancox acknowledges the Wellcome Trust for a Research Career Development Award.
Address for reprint requests and other correspondence: I. A. Hobai, Johns Hopkins Univ., Dept. of Medicine, Div. of Cardiology, 720 Rutland Ave., Ross 844, Baltimore, MD 21205 (E-mail: ionhobai{at}welchlink.welch.jhu.edu).
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.
Received 15 July 1999; accepted in final form 8 February 2000.
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