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Department of Biochemistry and Molecular Biology, Oregon Graduate Institute of Science and Technology, Beaverton, Oregon 97006-8921
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ABSTRACT |
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There is an emerging consensus
that pharmacological opening of the mitochondrial ATP-sensitive
K+ (KATP) channel protects the heart against
ischemia-reperfusion damage; however, there are widely divergent views
on the effects of openers on isolated heart mitochondria. We have
examined the effects of diazoxide and pinacidil on the bioenergetic
properties of rat heart mitochondria. As expected of hydrophobic
compounds, these drugs have toxic, as well as pharmacological, effects
on mitochondria. Both drugs inhibit respiration and increase membrane proton permeability as a function of concentration, causing a decrease
in mitochondrial membrane potential and a consequent decrease in
Ca2+ uptake, but these effects are not caused by opening
mitochondrial KATP channels. In pharmacological doses (<50
µM), both drugs open mitochondrial KATP channels, and
resulting changes in membrane potential and respiration are minimal.
The increased K+ influx associated with mitochondrial
KATP channel opening is ~30
nmol · min
1 · mg
1, a very
low rate that will depolarize by only 1-2 mV. However, this
increase in K+ influx causes a significant increase in
matrix volume. The volume increase is sufficient to reverse matrix
contraction caused by oxidative phosphorylation and can be observed
even when respiration is inhibited and the membrane potential is
supported by ATP hydrolysis, conditions expected during ischemia. Thus
opening mitochondrial KATP channels has little direct
effect on respiration, membrane potential, or Ca2+ uptake
but has important effects on matrix and intermembrane space volumes.
myocardial injury; potassium; cardioprotection; ischemia-reperfusion
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INTRODUCTION |
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SINCE 1989, many laboratories have shown that openers of ATP-sensitive K+ (KATP) channels protect the heart against ischemia-reperfusion injury (4, 6, 15, 16, 18). Although attention was initially focused on the sarcolemmal KATP channel, recent evidence strongly suggests that the mitochondrial KATP channel is the receptor for cardioprotective KATP openers (13, 14). An important basis for this hypothesis was the finding in heart that diazoxide is highly selective for mitochondrial KATP channels, having no effect on sarcolemmal KATP channels in the therapeutic dose range; nevertheless, diazoxide was protective in a model of ischemia-reperfusion (13). Moreover, 5-hydroxydecanoate, a mitochondria-specific KATP channel blocker (26), was found to block cardioprotection by KATP channel openers (13, 14).
Since these findings appeared, KATP channel openers have
continued to play a major role in the effort to understand the
mechanisms of cardioprotection. A major barrier to achieving this goal
is the continued uncertainty about the effects of these drugs on mitochondria. Garlid (8) proposed that mitochondrial
KATP channels are primarily involved in the volume
regulation mechanism and that direct bioenergetic effects of opening
mitochondrial KATP channels would be small. Several recent
reports appear to contradict this prediction by showing large decreases
in mitochondrial membrane potential (
) after treatment with a
variety of KATP channel openers (24, 25, 29,
40). Thus, Liu et al. (29), using an indirect
assay, reported profound uncoupling of mitochondria in cardiomyocytes
after administration of high doses of diazoxide and pinacidil and
proposed that this uncoupling mediates cardioprotection by reducing
Ca2+ uptake into mitochondria. In apparent support of this
hypothesis, Holmuhamedov et al. (24, 25) demonstrated
membrane depolarization and inhibition of Ca2+ uptake in
the presence of mitochondrial KATP channel openers in
isolated rat heart mitochondria. Thus two conflicting hypotheses have
been advanced to explain what happens when mitochondrial KATP channels are opened. To determine which of these
hypotheses is correct, we investigated the effects of diazoxide and
pinacidil on isolated rat heart mitochondria.
We show first that the reported dramatic bioenergetic effects of these drugs (24, 25) have nothing to do with mitochondrial KATP channels but, rather, are caused by the intrinsic uncoupling and inhibitory properties of these agents when used at excessive doses. We show that regulated K+ influx via mitochondrial KATP channels is small in magnitude, causing minimal stimulation of respiration and an estimated depolarization of only 1-2 mV. Finally, we show that opening and closing mitochondrial KATP channels causes significant changes in matrix volume, secondary to the entrance of osmotically obligated water accompanying net flux of K+ and anions.
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MATERIALS AND METHODS |
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Mitochondrial isolation. Mitochondria were isolated by differential centrifugation from rat heart (34). Briefly, two or three rat hearts were washed in ice-cold buffer containing 300 mM sucrose, 10 mM K+-HEPES buffer, pH 7.2, and 1 mM K+-EGTA. After the tissue was finely minced, it was incubated for 10 min in the presence of 2-4 mg of nagarse. Excess nagarse was removed by washing in the same buffer supplemented with 1 mg/ml BSA, and the samples were homogenized. The suspension was then centrifuged for 4 min at 600 g. The resulting supernatants were recentrifuged at 9,000 g for 8 min. The mitochondrial pellet was then washed once or twice until a blood-free, compact pellet was obtained. The final pellet was suspended at ~35 mg/ml and kept over ice.
Measurement of 
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was estimated by measuring the distribution of 1 µM
tetraphenylphosphonium (TPP+) using a
TPP+-selective electrode prepared in our laboratory. 
was calculated according to Jensen et al. (27) assuming a
matrix volume of 1 µl/mg protein. Alterations in mitochondrial volume
due to mitochondrial KATP channel activity, as determined
by quantitative light scattering (2), could not alter
values of 
by >4 mV.
Measurement of mitochondrial Ca2+ uptake. Mitochondrial Ca2+ uptake was estimated from fluorescence changes of 0.1 µM Ca2+ green 5N (hexapotassium salt), using an Aminco SLM 8000 fluorescence spectrophotometer at excitation and emission wavelengths of 506 and 531 nm, respectively. Calibration was performed by addition of known quantities of CaCl2.
Measurement of mitochondrial respiration. Respiration was measured using a Yellow Springs Instruments oxygen electrode.
Measurement of mitochondrial volume. Changes in mitochondrial volume, which accompany net salt transport into mitochondria, were followed using a quantitative light-scattering technique (2, 26). This technique is based on the principle that reciprocal absorbance of the mitochondrial suspension, when corrected for the extrapolated absorbance at infinite protein concentration, is linearly related to matrix volume within well-defined regions, as described in detail by Beavis et al. (1) and Garlid and Beavis (10). Note that light scattering measures total particle volume. In the isotonic range, matrix swelling is largely compensated by intermembrane space (IMS) contraction, so that total volume changes are small (1), and the light-scattering traces have correspondingly low signal-to-noise characteristics (see Figs. 5-7).
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RESULTS |
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K+-independent uncoupling and
respiratory inhibition by high doses of diazoxide and pinacidil.
Holmuhamedov and co-workers (24, 25) reported that
diazoxide and pinacidil cause a decrease in 
and Ca2+
uptake. We were able to reproduce these results under similar experimental conditions (Figs. 1 and
2). Two characteristics of these experiments suggested to us that these effects are unrelated to
mitochondrial KATP channel opening: 1)
Mitochondrial KATP channels are not sensitive to
K+ channel openers under these conditions, because
mitochondria incubated in the absence of ATP and Mg2+
present mitochondrial KATP channels in the open state
(2, 14, 26). 2) Diazoxide or pinacidil at >50
µM was necessary to achieve significant decreases in 
and
Ca2+ uptake rates (24, 25). These
concentrations are in excess of those necessary to promote
mitochondrial KATP channel opening. In rat heart
mitochondria, diazoxide opens mitochondrial KATP channels
with a half-maximal saturation (K1/2) of
2.3 µM (14) and pinacidil with a
K1/2 of 11.7 ± 3.7 µM (n = 4; results not shown).
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and Ca2+ uptake
is not due to mitochondrial KATP channel opening was
confirmed by carrying out parallel experiments in a
K+-free, Li+-based medium. Identical effects on
Ca2+ uptake and 
were observed in K+ and
Li+ media (Figs. 1 and 2). Since Li+ cannot be
transported through mitochondrial KATP channels, the observed effects of high doses of diazoxide and pinacidil are demonstrably unrelated to mitochondrial KATP channel activity.
Mechanisms of toxicity of diazoxide and pinacidil in rat heart
mitochondria.
Further experiments were conducted to elucidate the mechanism of
the effects described in Figs. 1 and 2. At high doses, pinacidil stimulated resting respiration, as reported by Holmuhamedov et al.
(24), but diazoxide did not (Fig.
3). Both drugs decreased the maximal
respiratory rates of mitochondria treated by the uncoupler carbonyl
cyanide p-trifluoromethoxyphenylhydrazone (FCCP; Fig. 3).
These effects are unrelated to mitochondrial KATP channel activity, because they were observed in K+ and
Li+ salts (Fig. 3).
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and Ca2+ uptake (Figs. 1 and
2), diazoxide did not stimulate resting respiration (Fig. 3). This
finding is atypical of agents that are pure inhibitors of electron
transport, which normally affect resting respiration before significant
changes in 
occur (42). Accordingly, we investigated
this phenomenon further. We assayed nonrespiring mitochondria in
K+-acetate medium containing valinomycin, in which a
protonophore is required for net salt and water uptake
(12) (Fig. 4). The requirement for proton permeation is illustrated by the effects of
FCCP, a known protonophore. The results show that diazoxide and
pinacidil also increase membrane permeability to protons. The
concentration dependence of the protonophoretic actions of the
K+ channel openers is interesting. Unlike weak acid
protonophores, such as FCCP, weak bases cannot transport protons by a
cycling mechanism, because they cannot delocalize the protonic charge. Rather, they form transient multimers that partially span the membrane,
thereby creating a series of energy wells along which the protons can
jump. This property is responsible for the nonlinear concentration
dependences exhibited by diazoxide and pinacidil in Fig. 4. A similar
phenomenon and mechanism were observed for uncoupling by bupivacaine
(39). Independently of mechanism, a combination of
respiratory inhibition and increased proton permeability can readily
account for the decrease in 
observed in Fig. 1. This, in turn,
is sufficient to account for reduced Ca2+ uptake (Fig. 2),
because 
is the driving force for mitochondrial Ca2+
uptake (22).
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Mitochondrial KATP channels regulate mitochondrial
volume.
We previously showed in rat liver mitochondria that matrix volume
changes secondary to the uptake of K+, but not
tetraethylammonium (TEA+), salts are mediated by
mitochondrial KATP channel openers (14, 26).
The traces in Fig. 5 follow the volume
changes due to opening and closing mitochondrial KATP
channels in rat heart mitochondria. The initial massive uptake of
K+ salts and water essentially reverses the losses that
occurred during mitochondrial isolation in K+-free medium.
K+ loss via the K+/H+ antiporter
continues during isolation until free matrix Mg2+ rises to
a level sufficient to block the carrier (8). When the
contracted mitochondria are now allowed to respire in K+
medium, as in Fig. 5, they rapidly take up K+ salts and
water until a steady-state volume is reached, a process requiring
~3-4 min at 25°C (Fig. 5).
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and Ca2+ accumulation observed in Figs. 1
and 2, it does promote significant changes in matrix volume, amounting
to 20% of the maximum steady-state water content.
K+ uptake through mitochondrial KATP channels
may be an important mechanism to maintain mitochondrial volume under
physiological conditions in which 
falls. In Fig.
6, we show that the volume of
mitochondria incubated in the presence of ATP (trace a) is larger than that of mitochondria incubated in the presence of both ATP
and ADP (trace b). This volume decrease is caused by a sharp
reduction in K+ uptake secondary to the decrease in 
that normally attends high rates of oxidative phosphorylation. Indeed,
it is not observed when oxidative phosphorylation is prevented by
oligomycin (trace c). Diazoxide (trace d)
prevents the contraction caused by oxidative phosphorylation and
reestablishes a steady-state volume similar to that observed in the
absence of ADP. This effect of diazoxide is prevented by
5-hydroxydecanoate (trace e).
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, which provides the driving force for K+
uptake. During myocardial ischemia, the respiratory chain cannot pump protons, because no oxygen is available as an electron acceptor. Under these conditions, hydrolysis of cellular ATP by the
proton-pumping ATP synthase should be sufficient to drive
K+ uptake via mitochondrial KATP channels and
diffusion. Experimental support for this hypothesis is provided in Fig.
7. CN
was used to block
mitochondrial respiration, and 
was supported solely by ATP
hydrolysis. Under these conditions, the low matrix volume (trace
a) was strongly increased by diazoxide (trace b), demonstrating that mitochondrial KATP channel opening was
able to induce a functional response in the absence of respiration. In
confirmation that the increased volume is due to mitochondrial KATP channel opening, 5-hydroxydecanoate completely
prevented the diazoxide effect (trace c).
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Estimation of K+ flux through
mitochondrial KATP channels.
We investigated whether a change in 
could be detected under the
conditions in which we observed mitochondrial volume changes attributable to mitochondrial KATP channel activity. We
found that mitochondria incubated in K+ medium containing
ATP do not undergo significant changes in 
when treated with low
doses (<50 µM) of diazoxide or pinacidil (results not shown). Thus,
even under conditions in which diazoxide or pinacidil is regulating
mitochondrial KATP channels and mitochondrial volume,
changes in 
are too small to be measured.
1 · mg
1. Considering
that two protons are pumped at the level of cytochrome oxidase, this
respiratory difference suggests that mitochondrial KATP
channels are responsible for a flux of 24.2 nmol
K+ · min
1 · mg
1.
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1 · mg
1,
respectively (n = 6, P < 0.05). This
difference in respiration can be attributed to K+ flux
through mitochondrial KATP channels, because
TEA+ is not transported by mitochondrial KATP
channels but, rather, diffuses across the inner membrane at rates
similar to K+ diffusion (2, 14, 26). With the
assumption of an H+:O stoichiometry of 6 for
succinate-supported respiration, this respiratory difference implies a
K+ flux through mitochondrial KATP channels of
29.4 nmol
K+ · min
1 · mg
1,
which is very similar to the estimate obtained from TMPD-supported respiration (Fig. 8).
How much depolarization can result from a K+ flux of <30
nmol
K+ · min
1 · mg
1?
An estimate can be made from the relationship between mitochondrial respiration and 
when respiration is increased with uncoupler. As
seen in Fig. 9, 
falls linearly
with respiration until the maximal respiratory rate is reached. The
slope of this line in heart mitochondria (the internal resistance of
the overall electron transport system) is 0.34 (n = 2).
Thus the respiratory differences observed in the presence and absence
of mitochondrial KATP channel activity (~5 ng atom
O · min
1 · mg
1 for
succinate-supported respiration) would result in a 
decrease of
1-2 mV, which is not detectable using conventional techniques.
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DISCUSSION |
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The hypothesis that opening KATP channels protects the heart against ischemia-reperfusion damage was first tested and verified by Grover et al. (18) and subsequently confirmed by many laboratories (4, 6, 15, 20, 41; the cardiopharmacology of KATP channels is reviewed in Ref. 17). The hypothesis that mitochondrial KATP channels are the site of action for the cardioprotective effects of KATP channel openers (14) was subsequently verified by Garlid et al. (13). These results have led to a new focus on the role of mitochondrial KATP channels in ischemia-reperfusion injury. However, little is known about the functional consequences of mitochondrial KATP channel activity in mitochondria and how this activity ultimately leads to protection. Indeed, two mutually exclusive hypotheses have been put forward for the bioenergetic effects of mitochondrial KATP channel opening.
Liu et al. (29) proposed that futile K+
cycling due to opening mitochondrial KATP channels is
sufficient to cause significant uncoupling and depolarization. Indeed,
massive mitochondrial depolarization secondary to addition of
KATP channel openers has now been reported by three
different laboratories (24, 25, 29, 36, 37, 40). This
depolarization, in turn, is proposed to reduce mitochondrial Ca2+ uptake, thereby preventing Ca2+ overload
and opening of the mitochondrial permeability transition (25). These findings, and the attendant hypotheses,
clearly have great import for our understanding of the cardioprotective actions of K+ channel openers. For this reason, we have
gone to considerable lengths in this study on rat heart mitochondria to
investigate these actions. The data in Figs. 1-5 and associated
text show clearly that the reported effects of diazoxide and pinacidil
on 
and Ca2+ uptake (24, 25) have
nothing to do with mitochondrial KATP channels. Thus the
finding that openers cause the same effects in Li+ medium
excludes participation of the mitochondrial KATP channel, because this channel does not transport Li+. Indeed, this
was the expected result, because the cited studies were conducted under
conditions in which the mitochondrial KATP channel is
already open and therefore cannot be affected by KATP channel openers (14). We show further that the
bioenergetic effects previously attributed to actions at mitochondrial
KATP channels are caused instead by the intrinsic
uncoupling and inhibitory properties of these agents when used at
concentrations far in excess of those required to open mitochondrial
KATP channels. Thus diazoxide and pinacidil, like most
hydrophobic compounds, exhibit concentration-dependent inhibition of
the respiratory chain and also uncouple respiration. It was reported
more than 30 years ago that diazoxide at high doses (150 µM) inhibits
respiration in rat heart mitochondria due to inhibition of succinate
dehydrogenase (38). It is also unlikely that opening
mitochondrial KATP channels in vivo leads to significant
mitochondrial uncoupling, as suggested by FAD autofluorescence studies
in cardiac myocytes (29, 36, 37). Measurements of cardiac
efficiency of oxygen utilization (work/oxygen consumption) in the
intact heart show that KATP channel openers in
pharmacological doses have no effect on efficiency, which excludes
significant uncoupling as a consequence of their administration
(19, 21).
These findings not only emphasize the necessity to recognize the difference between toxic and pharmacological effects of K+ channel openers but also provide a means to distinguish between them. In the present study, toxic effects of diazoxide are observed beginning at 100 µM, and toxic effects of pinacidil are observed beginning at 50 µM. At lower doses, these agents have no effect on Ca2+ uptake, which would be reduced by respiratory inhibition or uncoupling (Fig. 2).
Because it increases futile K+ cycling, mitochondrial
KATP channel opening is expected to result in a decrease in

. However, the magnitude of the depolarization will depend
entirely on the magnitude of the added K+ flux, which we
have estimated to be between 24 and 30 nmol
K+ · min
1 · mg
1
in rat heart mitochondria (Fig. 8 and data in text). This amount of
K+ flux would reduce 
by 1-2 mV, as derived from
the relationship between respiratory rates and 
(Fig. 9). Thus,
in isolated rat heart mitochondria, mitochondrial KATP
channel opening causes a minimal effect on 
, Ca2+
uptake, and respiration.
On the basis of these results, we believe that the primary function of
mitochondrial KATP channels is to participate in regulation of mitochondrial volume (8). Mitochondrial volume
homeostasis, which is essential for maintaining vesicular integrity in
the face of high and variable inner membrane traffic of ions and water, is provided largely by regulation of K+ transport (7,
8). K+ enters the matrix electrophoretically via
diffusion and via mitochondrial KATP channels, when open.
Diffusive K+ uptake is exponential with voltage
(11) in mitochondria and, therefore, highly sensitive to
changes in 
. K+ uptake is followed immediately by
uptake of phosphate (Pi) on the electroneutral
phosphate/OH
exchange carrier. Accordingly, net
K+ uptake is always accompanied by anions and osmotically
obligated water (8). Excess K+ leaves the
matrix via the K+/H+ antiporter. It is
important to recall that the K+/H+ antiporter
is allosterically regulated to sense changes in matrix volume itself
(7, 8); consequently, an increase in K+ uptake
will necessarily cause a volume increase until
K+/H+ exchange comes back into balance, as seen
in the traces of Fig. 5. Thus opening mitochondrial KATP
channels will shift the balance between K+ uniport and
K+/H+ antiport, causing transient swelling and
a higher steady-state volume for as long as mitochondrial
KATP channels remain open. Such a "regulated interplay"
between K+ uniport and K+/H+
antiport was first postulated by Brierley (3). A
fundamental physiological question about mitochondrial KATP
channels is, why do mitochondria require a second pathway for
K+ uptake? To begin to address this question, we designed
the experiments of Figs. 5-7 to mimic three different
physiological states of the cardiomyocyte.
The conditions of Fig. 5, i.e., state 4 respiration with high 
,
mimic the resting, low-work state of the cardiomyocyte. When diazoxide
is added to the perfused heart in this state, the immediate response is
a moderate increase in mitochondrial production of reactive oxygen
species (ROS) (43). ROS, in turn, function as a second
messenger signaling cardioprotection during ischemic preconditioning
(5) and diazoxide preconditioning (43).
The mechanism by which opening mitochondrial KATP channels
induces increased mitochondrial ROS production is unknown but may be
rationalized by the following hypothesis. As can be seen in Fig. 5,
opening mitochondrial KATP channels under comparable
conditions increases matrix water content by ~20%, secondary to
uptake of K+ and Pi from the medium. In the
cardiomyocyte, where the ratio of matrix water to cytosol water is
~1:4, this flux would cause a significant depletion of cytosolic
Pi, which is already low in the resting state. Significant
Pi redistribution will raise the cellular phosphorylation
potential, thereby slowing respiration and increasing the rate of ROS
production from complex III of the electron transport chain.
The conditions of Fig. 6, i.e., state 3 respiration with low 
,
mimic the high-work state of the cardiomyocyte during positive inotropy. The low 
will severely reduce diffusive K+
uptake: a 30-mV decrease in 
will reduce K+ uptake by
~50% (11). The resulting imbalance between
K+ uptake and efflux will cause matrix contraction, which
is reversed by opening mitochondrial KATP channels, as
shown in Fig. 6. The role of mitochondrial KATP channels in
positive inotropy is described by the following working hypothesis:
Excessive matrix contraction will cause reciprocal expansion of the
IMS, which includes the intercristal spaces and the space between the
inner and outer membranes. IMS swelling will perturb the architecture
of this important compartment and disrupt the structure and function of intermembrane enzymes, including mitochondrial creatine kinase. Metabolic channeling through mitochondrial creatine kinase is required
during high-work states in heart (33-35). We
hypothesize that it is necessary during positive inotropy to open
mitochondrial KATP channels to compensate for the lower
driving force that occurs during high electron flows (32).
This mechanism would preserve the architecture of the IMS and,
therefore, preserve efficient energy transfers between mitochondria and
cytosol when these are most needed. In this regard, we consider it
significant that mitochondrial KATP channel opening
reverses the contraction caused by high rates of ATP synthesis (Fig.
6). In this physiological setting, opening mitochondrial
KATP channels serves to maintain constant volume, by adding
a parallel K+ conductance pathway to compensate for the
lower driving force for K+ uptake. It is also clear that
excessive mitochondrial contraction is deleterious for electron
transport, which is exquisitely sensitive to matrix volume over a very
narrow range (23). Maintenance of matrix volume, secondary
to physiological mitochondrial KATP channel opening, may
prevent respiratory inhibition due to matrix contraction that would
otherwise occur during high rates of ATP synthesis.
The conditions of Fig. 7, i.e., no respiration with low 
, mimic
the anoxic state of the cardiomyocyte during ischemia. Ischemia is also
associated with mitochondrial depolarization, resulting in matrix
contraction, perturbation of IMS architecture, and accelerated ATP
hydrolysis due to disruption of mitochondrial creatine kinase. Indeed,
the loss of functional coupling between mitochondrial creatine kinase
and the adenine nucleotide translocase is one of the earliest
detectable alterations in ischemic hearts (28). Nakano et
al. (31) suggested that mitochondrial KATP
channels may be an end effector of cardiac protection by
preconditioning. A possible mechanism is that opening mitochondrial
KATP channels helps preserve IMS architecture with
consequent slowing of ATP hydrolysis and preservation of the ability to
use creatine efficiently as substrate on reperfusion. Here, we consider
it significant that mitochondrial KATP channel opening
reverses the contraction caused by cyanide (Fig. 7).
In summary, we propose that the primary consequence of opening mitochondrial KATP channels is a modest increase in K+, Pi, and water uptake by mitochondria. The hypotheses describe the different roles of mitochondrial KATP channels in three different states of the cardiomyocyte and suggest that regulation of mitochondrial KATP channels has important bioenergetic consequences in each.
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ACKNOWLEDGEMENTS |
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We thank Craig Semrad and Jarmila Pauckova for excellent technical assistance.
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FOOTNOTES |
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This research was supported in part by National Institute of General Medical Sciences Grant GM-55324 (to K. D. Garlid) and American Heart Association Scientist Development Grant 963 0004N (to P. Paucek).
Present address of A. J. Kowaltowski: Dept. de Bioquímica, Instituto de Química, Universidade de São Paulo, São Paulo, SP, Brazil.
Address for reprint requests and other correspondence: K. D. Garlid, Dept. of Biochemistry and Molecular Biology, Oregon Graduate Institute of Science and Technology, 20000 N.W. Walker Rd., Beaverton, OR 97006-8921 (E-mail: garlid{at}bmb.ogi.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. Section 1734 solely to indicate this fact.
Received 11 July 2000; accepted in final form 6 September 2000.
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