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University of California-Los Angeles Cardiovascular Research Laboratory, Division of Cardiology, Department of Medicine, and Department of Physiology, David Geffen School of Medicine, University of California, Los Angeles, California
Submitted 23 December 2004 ; accepted in final form 10 March 2005
| ABSTRACT |
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), regulate matrix volume, consume oxygen, and phosphorylate ADP under conditions mimicking key elements of ischemia-reperfusion. Isolated energized mitochondria responded to ADP addition with depolarization, increased O2 consumption, and matrix shrinkage. The time required for full recovery of 
, signaling the completion of ADP phosphorylation, was used to evaluate the rate of ATP synthesis during repeated ADP pulses. In mitochondria with a decreased ability to support 
, the rate of ADP phosphorylation was significantly improved by extramitochondrial K+ > Na+ > Li+, especially at higher buffer osmolarity, which promotes matrix shrinkage. K+-induced improvement in 
recovery after ADP pulses was accompanied by more rapid and complete matrix volume recovery and enhanced O2 consumption. Manipulations expected to affect matrix swelling by regulating K+ fluxes or water distribution indicate that matrix volume regulation by external factors becomes increasingly important in mitochondria with decreased ability to support 
in the face of a high ADP load. Under these conditions, opening of K+ influx pathways improved mitochondrial function and delayed failure. This may be an important factor in the mechanism of diaxozide-induced cardioprotection.
mitochondria; matrix swelling; shrinkage; hypoxia; reoxygenation
Although several hypotheses have been advanced (for reviews, see Refs. 11 and 34), the mechanisms by which mitoKATP channel openers protect mitochondria from ischemia-reperfusion injury remain controversial. At cardioprotective concentrations (
50 µM), diazoxide has little effect on energized mitochondria (25, 36) except to induce mild matrix swelling, with a corresponding reduction in intermembrane space volume (for a review, see Ref. 12). Through this effect, both diazoxide and ischemic preconditioning have been hypothesized to be protective by preserving a narrow intermembrane space, which facilitates energy transfer from mitochondria to ATP-utilizing sites in the cytosol, reduces permeability of the outer mitochondrial membrane to nucleotides, and slows the rate of ATP hydrolysis (8, 27).
However, diazoxide and 5-HD also have effects on mitochondria that are not related to mitoKATP channels (17, 37). In addition, it is technically demanding to dissect matrix swelling due to diazoxide-induced KATP channel opening from diffusion-mediated nonselective K+ uptake or from intrinsic volume-regulatory mechanisms (5, 14, 19, 30). For an in-depth discussion of this current controversy, the reader is referred to recent relevant studies (5, 11, 12). Despite controversy over the existence of mitoKATP channels and the importance of intrinsic versus cation flux-dependent matrix volume regulatory mechanisms, there is little doubt that matrix volume regulation can be influenced by K+ fluxes under in vivo conditions (12).
The specific experimental conditions under which mitochondria are studied are likely to be very important. Whereas in situ mitochondria sense profound changes in their cellular environment during ischemia-reperfusion, these changes have not generally been taken into consideration in experiments with isolated mitochondria, which are usually studied under well-energized conditions. However, the ideal cardioprotective agent should disturb mitochondrial function only minimally under normal conditions but exert strong protective effects under pathophysiological conditions. Accordingly, we tested the hypothesis that matrix volume regulation mediated by additional K+ influx pathways such as mitoKATP channels has minor effects under well-energized conditions but major effects under conditions relevant to ischemia-reperfusion. We present evidence that under the latter conditions, K+ flux-dependent matrix volume regulation becomes critically important to phosphorylating mitochondria.
| METHODS |
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All animal experiments were conducted in full compliance with state and federal animal care guidelines and were approved by the Office for Protection of Research Subjects of University of California-Los Angeles (ARC protocol 2001-176-11). Mitochondria were isolated from adult rabbit hearts by enzymatic digestion, homogenization, and differential centrifugation as described previously (24). Isolated mitochondria were resuspended in EGTA-free homogenization buffer (250 mM sucrose and 10 mM HEPES, pH 7.4 with Tris) to yield 2030 mg/ml of mitochondrial protein, kept on ice, and normally used within 5 h after isolation. Freshly isolated mitochondria had coupling ratios of
8 in KCl buffer with complex I substrates and 0.4 mM ADP.
Experimental Conditions
All measurements were carried out using a fiber-optic spectrofluorometer (Ocean Optics) in a closed continuously stirred cuvette at room temperature (2224°C). Mitochondria (regularly about 0.10.15 mg/ml) were added to the cuvette in standard buffer consisting of (in mM) 100 KCl and 10 HEPES, pH 7.4 with Tris. In some experiments, buffer contained sucrose or other salts in place of KCl or buffer osmolality was increased. Substrates, Pi, EDTA, various drugs, and fluorescent indicators were added in the concentrations indicated.
To define factors that limit or favor matrix volume recovery during sustained ADP phosphorylation, we used repeated ADP additions to evaluate the extent of matrix volume recovery sequentially over time. To relate changes in matrix volume to mitochondrial function, membrane potential (
) and O2 consumption were recorded simultaneously. In most experiments, ADP was added to a relatively low concentration of mitochondria. This high ADP-to-mitochondria ratio was used to mimic reperfusion conditions, where the ADP load per functionally active mitochondria is expected to be high. This also avoided rapid depletion of buffer O2 and increases in [ATP] that might have inhibitory effects on ADP phosphorylation.
In sucrose buffer, isolated mitochondria are known to have a contracted matrix and expanded intermembrane space (12, 15, 28). It is also known that increase in external osmolarity from 210 to 310 mosM (using sucrose) results in parallel decreases of mitochondrial O2 consumption in state 3 (7). Therefore, the majority of our experiments with fatty acid-energized mitochondria and high ADP load were performed at decreased osmolarity (210 mosM).
For anoxia/reoxygenation experiments, energized mitochondria were made anoxic by directing a stream of nitrogen through a hole in the cuvette cover aimed at the buffer (2 ml), so that the stirred buffer had no contact with the air, as described previously (24). Reoxygenation was accomplished by substituting nitrogen with oxygen (95% O2-5%CO2).
Spectrofluoremetric Techniques and Other Assays
PO2. PO2 in the buffer was continuously recorded via a fiber-optic oxygen sensor inserted through a hole in the cuvette cover. The tip of the oxygen sensor fiber was positioned in the center of the cuvette, where it reacted to changes in PO2. In most experiments, excluding those with N2 for generating anoxia, there was a slow access of room air to the surface of the buffer. This may have decreased O2 consumption rates to some extent, but, because the stirring speed was constant, this small decrease was always a constant value. Also, under these conditions, ADP addition accelerated O2 consumption significantly (see Fig. 1), indicating that the small O2 flux into the buffer had no major impact.
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was recorded by including tetramethylrhodamine methyl ester (TMRM; 200 nM) in the cuvette solution. 
was estimated from TMRM fluorescence at 580 nm as described previously (24) and expressed as a percentage of the TMRM fluorescence in the presence of coupled mitochondria and substrates (100%) relative to that after the addition of 0.5 µM FCCP or alamethicin to fully depolarize mitochondria (0%). TMRM fluorescence emission was recorded simultaneously with PO2. Changes in matrix volume. Changes in matrix volume were measured using standard procedures by recording 90° light scattering with excitation and emission wavelengths set at 510 nm. These changes were recorded simultaneously with TMRM fluorescence and O2 consumption. In separate experiments, ADP-induced changes in light scattering were also determined in the absence of TMRM. These experiments showed similar ADP-induced matrix shrinkage followed by swelling back to baseline, indicating that recorded matrix volume changes were not significantly modified by changes in TMRM redistribution.
For statistical analysis, changes in matrix volume are reported as a percentage of maximum (100%) swelling induced by adding 10 µg alamethicin at the end of the experiment.
Mitochondrial ATP synthesis. Mitochondrial ATP synthesis was terminated with the addition of ice-cold perchloric acid at time points and under conditions specified in the figures. ATP concentration was determined in neutralized PCA supernatants, as described previously (23), by continuous monitoring the reduction of NADP. In this assay, an increase in fluorescent NADPH is proportional to [ATP] (2). The assay buffer contained 0.2 mM NADP, 10 mM glucose, 5 U/ml hexokinase, 5 U/ml glucose-6-phospate dehydrogenase, and 4 mM MgCl2.
Electron microscopic studies. For electron microscopic studies, mitochondria were processed according to previously described methods (9).
Mitochondrial protein content. Mitochondrial protein content was determined by the Lowry method.
Chemicals and Data Analysis
TMRM was obtained from Molecular Probes, and all other chemicals were from Sigma. Mitochondrial substrates were added as free acids using Tris to buffer pH.
Results are presented in original tracings with summary data shown as means ± SD. Students t-test was used to assess statistical significance, using the Bonferoni correction for greater than two groups.
| RESULTS |
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and Matrix Volume in Energized Isolated Mitochondria
Figure 1A shows that in isolated mitochondria incubated in 140 mM KCl buffer in the presence of Pi and substrates, the addition of ADP promoted partial 
dissipation, matrix shrinkage, and an increase in O2 consumption. After a time period proportional to the amount of ADP added, all changes returned to baseline, signaling the end of ADP phosphorylation. In well-coupled energized mitochondria, ADP-induced changes in matrix volume and 
recovery were completely reversible, even when ADP was added repeatedly in relatively high concentrations. Pi was required to induce these changes, as expected if due to ATP synthesis, and ADP-induced changes were blocked by atractyloside, an inhibitor of ADP/ATP exchange (not shown). Because 
recovered fully after the added ADP had been phosphorylated, the time period required for 
recovery also indirectly indicates the rate of ADP phosphorylation.
Figure 1B demonstrates that the matrix volume changes in response to ADP were not an artifact of TMRM redistribution. In the top trace, mitochondria (0.2 mg/ml) energized with complex I substrates were incubated in 100 mM KCl buffer (the standard for subsequent experiments) with TMRM present. Mitochondria responded to six ADP additions (250 µM each) with reproducible changes in 
and O2 consumption. The bottom trace shows matrix volume measurements in a separate aliquot from the same batch of isolated mitochondria but without TMRM in the buffer. ADP-induced matrix shrinkage and recovery were similar as when TMRM was present.
Importance of Extramitochondrial K+ in ADP-Induced Changes in Fatty Acid-Energized Mitochondria
Since the initial studies by Hackenbrock (15), energized mitochondria are known to respond to ADP addition with matrix shrinkage, followed by recovery when ADP phosphorylation is complete. These matrix volume shifts occur in nonionic (sucrose or mannitol) as well as ionic buffers, suggesting that matrix volume can be regulated independently of ion fluxes. However, these findings do not exclude the possibility that under stressed conditions, the intrinsic (ion independent) mechanism may be supplemented and enhanced by ionic fluxes, allowing more rapid and complete matrix volume recovery after ADP phosphorylation. Under in vivo conditions, the ability of mitochondria to regulate matrix volume by K+ uptake/efflux is determined by 
(12). During reperfusion, 
regulation is compromised by depression of respiratory chain activity, increased inner membrane leakiness, and a high ADP load, which might be expected to impact matrix volume regulation. To evaluate this possibility, we compared matrix volume changes in response to ADP pulses in isolated mitochondria bathed in either nonionic or ionic buffer. We decreased the mitochondrial ability to support 
during ADP phosphorylation by replacing pyruvate, malate, and glutamate by caproic acid, a short-chain fatty acid that does not require carnitine to get into the matrix. Fatty acids are important substrates in the heart, and their oxidation is expected to increase during reperfusion due to decreased malonyl-CoA levels (26).
Figure 2A shows that when mitochondria (0.5 mg/ml) were incubated in 300 mM sucrose buffer and energized with 0.75 mM caproic acid, they failed to recover 
and matrix volume after several 150 µM APD pulses. In addition, O2 consumption was depressed. These results suggest that the rate of ADP phosphorylation was decreased during each subsequent pulse in nominally K+-free buffer. The failure to recover 
and matrix volume after several ADP additions was not due to exhaustion of the available caproic acid, because further addition of 0.75 mM caproic acid at this point had no effect.
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recovery was not only much faster initially, but the recovery rate was much more stable during repeated ADP additions. Paralleling 
recovery, matrix volume recovery was also markedly improved in the presence of K+, and O2 consumption in response to ADP remained robust.
These K+-dependent differences in mitochondrial behavior during ADP pulses are demonstrated even more convincingly in Fig. 2, C and D. In these experiments, 20 mM KCl was added to the sucrose buffer after mitochondria had been challenged with one or several ADP pulses. Figure 2C shows that the addition of KCl after the first ADP pulse significantly increased the rate of 
recovery and O2 consumption in response to subsequent ADP pulses, reflecting an enhanced rate of ADP phosphorylation. Figure 2D shows that improvement was also obtained when KCl was added after 
and matrix volume recovery has been already compromised by several ADP pulses. Because the osmotic effect of the added KCl would have been to cause further matrix shrinkage, these results can only be explained if K+ movement into the matrix, followed osmotically by water, allowed the matrix to reexpand, with a consequent improvement in ADP phosphorylation. The slight dissipation of 
connected with K+ uptake is compensated with an increase in
pH, leaving the protonmotive force unchanged.
We interpret these findings as indicating that 
-driven K+ (and +Pi) influx, which is followed by osmotically driven water movement to prevent matrix shrinkage, operates synergistically with respiratory chain power to maintain an increased APD phosphorylation rate. This K+-dependent mechanism, however, only becomes critical for matrix volume regulation when respiratory chain power is reduced. Consistent with these findings, mitochondria energized with full complex I substrates (as in Fig. 1) tolerated repeated ADP additions without adverse consequences. However, if only a limited amount of pyruvate (0.2 mM) was provided as the exogenous substrate, similar results were obtained as with caproic acid (data not shown). Finally, the K+-dependent mechanism seems to be less important in hyposmotic sucrose buffer (Fig. 3D), in which mitochondria tolerated repeated ADP additions better, at least initially. Because mitochondria are well-behaved osmometers, the matrix rapidly expands in hyposmotic medium (200 mosM) so that ADP phosphorylation can proceed under more favorable conditions. In this setting, K+-dependent differences were more evident when the ADP load per mitochondrion was relatively high (see below). Collectively, these results suggest that, although mitochondria can operate in nominally K+ (ion)-free medium under conditions in which their ability to maintain 
is decreased due to limitations in respiratory chain activity and their matrix volume is contracted, the rate of ADP phosphorylation is greatly enhanced by extramitochondrial K+.
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and matrix volume recovery after APD additions in mitochondria energized with caproic acid. Assuming that the time period required for 
recovery indirectly reflects the time required for ADP phosphorylation, ATP production per unit of time decreased in the order of K+ > Na+ > Li+ > sucrose.
Figure 4 illustrates further that the K+-dependent volume regulatory mechanism only becomes important when respiratory chain power is reduced. In Fig. 4A, isolated mitochondria in 150 mM sucrose + 25 mM KCl buffer were initially energized with 0.5 mM caproic acid. After several 50 µM ADP additions, 
and matrix volume recovery became progressively delayed. The addition of a full complement of complex I substrates (1.5 mM each of pyruvate, malate, and glutamate) to enhance respiratory chain power, however, led to rapid 
and matrix volume recovery. Figure 4B shows that complex I substrates were similarly effective when the buffer contained 150 mM sucrose and 25 mM NaCl, in which the ADP-induced 
dissipation and matrix shrinkage were much more dramatic. Figure 4, C and D, illustrates representative electron micrographs of isolated mitochondria obtained immediately before complex I substrates were added in A and B. Note that in KCl-sucrose buffer, the matrix area was significantly larger (Fig. 4C) than in NaCl-sucrose buffer, in which matrix volume was severely contracted but intracristal space expanded (Fig. 4D). These findings establish that the changes in matrix volume recorded from light scattering reflect matrix remodeling and that K+ is much more effective than Na+ at preventing severe matrix condensation in fatty acid-energized mitochondria.
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During ischemia-reperfusion, cytoplasmic [Mg2+] increases by two- to threefold (31, 40), which is expected to inhibit mitochondrial cation fluxes (22, 33). When the experiment shown in Fig. 4A was repeated with the same batch of mitochondria in the presence of 2 mM Mg2+, 
and matrix volume recovery after ADP additions were markedly affected (Fig. 5A). However, full recovery was still achieved when complex I substrates were added. In Fig. 5B, caproic acid-energized mitochondria, incubated in 100 mM KCl buffer in the presence of Mg2+ and EGTA (to chelate contaminant Ca2+), were challenged with ADP pulses until 
and matrix volume failed to recover. At this point, the addition of 3 mM EDTA to chelate extramitochondrial Mg2+ not only increased 
but also stabilized it during further ADP additions (Fig. 5B). The improvement of matrix volume and 
with EDTA was limited, as demonstrated by the further recovery after the addition of complex I substrates (Fig. 5B). Figure 5C summarizes the average ADP-induced matrix volume change in fatty acid-energized mitochondria in the presence of Mg2+ (bar a) as well as the complete reversal of these changes with the addition of complex 1 substrates as in Fig. 5A (bar b) and the partial recovery after EDTA without adding complex I substrates as in Fig. 5B (bar c).
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and matrix volume fully after ADP addition in fatty acid-energized mitochondria is due to impaired osmotic regulation from suppression of K+ influx, then appropriate osmotic manipulations should exacerbate or mitigate recovery. Figure 6 compares the effects of low- and high-molecular-weight polyethylene glycols (PEG) on mitochondria incubated in 150 mM sucrose + 25 mM KCl buffer, with 0.5 mM caproic acid as the substrate. In the absence of PEG (Fig. 6A), 
and matrix volume recovered after four successive additions of 50 µM ADP, although the rate of recovery slightly decreased as in Fig. 4A. Inclusion of 1.25% of 600-molecular weight PEG (PEG600) into the buffer significantly accelerated failure to recover (Fig. 6B). PEG600 is expected to resist matrix swelling by moving into the intermembrane space and drawing water from the matrix. In contrast, the same concentration of 10,000-molecular weight PEG (PEG10,000) preserved full 
and matrix volume recovery after even six ADP additions (Fig. 6C). In this case, PEG10,000 (which is impermeant to the outer membrane) is expected to promote matrix volume by decreasing the volume of the intermembrane space, through balancing the osmotic pressure exerted by intermembrane space proteins (16). Similar findings were obtained when PEG was added to 100 mM KCl buffer. When 2 mM Mg2+ was present, however, PEG10,000 was less effective at preventing loss of 
and matrix volume recovery after ADP (Fig. 6D). These findings substantiate that osmotic factors play a direct role in regulating both 
and matrix volume recovery after ADP addition.
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and Matrix Volume Recovery From ADP-Induced Changes in the Presence of Mg2+
To determine whether selectively enhancing K+ influx in fatty acid-energized energized mitochondria with Mg2+ present would improve their ability to regulate matrix volume and 
in response to ADP pulses, we examined the effects of a low concentration of the K+ ionophore valinomycin (20 pM). In Fig. 7A, mitochondria (0.15 mg/ml in 150 mM sucrose buffer containing 25 mM KCl + 2 mM MgCl2) energized with caproic acid (0.5 mM) rapidly lost their ability to recover 
and matrix volume in response to ADP. However, when the buffer included a low concentration of valinomycin (20 pM), recovery improved significantly (Fig. 7B). When this experiment was repeated with Na+ in place of K+ (Fig. 7C), valinomycin did not improve recovery and, in fact, worsened it (compare with Fig. 4B).
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and matrix volume after ADP pulses translated directly into reduced ATP synthesizing capacity. Figure 7, D and E, demonstrates that ATP measured after ADP additions was significantly higher in the presence of K+ and valinomycin (Fig. 7D) than in the presence of Na+ and valinomycin (Fig. 7E).
Figure 8, A and B, shows that diazoxide, widely considered to be a mitoKATP channel opener, had similar effects as valinomycin under these conditions. Inclusion of the mitoKATP channel blocker 5-HD (300 µM) abolished diazoxides protective effect (Fig. 8C). Figure 8D summarizes the average values for 
and matrix volume recovery after five ADP additions.
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In hearts subjected to anoxia/reoxygenation, mitochondria lose electron transport power and face elevated intracellular levels of Mg2+ and ADP. To examine the effects on 
and matrix volume regulation, we subjected isolated mitochondria (incubated in 100 mM KCl buffer containing 5 mM Pi and 1% PEG600 to simulate increased osmolarity) to anoxia/reoxygenation (Fig. 9A). Mitochondria were fully energized with complex I substrates from the outset. Anoxia caused 
dissipation when PO2 reached a critical level. 
dissipation was followed by matrix volume shrinkage, as expected from the loss of driving force for K+ influx into the matrix. Both 
and matrix volume recovered nearly completely with reoxygenation, and these mitochondria subsequently responded to ADP-induced changes with only slightly impaired recovery of 
and matrix volume. In contrast, when the same protocol was performed in the presence of 2 mM Mg2+, matrix volume recovered only partially after reoxygenation. More importantly, after ADP additions, the matrix contracted further with very little recovery from extensive contracture, despite the presence of complex I substrates. At the same time, 
failed to recover from ADP-induced dissipation (Fig. 9B). Under these conditions, mitochondrial ATP production was significantly decreased to
60% of that in the absence of Mg2+ (Fig. 9D, compare traces a and b). Diazoxide (50 µM) improved both 
and matrix volume recovery (Fig. 9, C and E) and preserved ATP synthesis (Fig. 9D, trace c). Recovery of 
and matrix volume after the final ADP addition is summarized in Fig. 9E for the three cases: anoxia/reoxygenation, anoxia/reoxygenation with 2 mM Mg2+ present, and anoxia/reoxygenation with Mg2+ + 50 µM diazoxide present. Although K+ fluxes were not directly recorded, these findings, combined with the results presented above, strongly suggest that K+ fluxes are important for maintaining matrix volume, 
, and ADP phosphorylation in the setting of anoxia/reoxygenation when extramitochondrial Mg2+ is elevated, even when a full complement of exogenous substrates is present.
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| DISCUSSION |
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during ADP phosphorylation is decreased due to the inhibition of respiratory chain complexes, loss of cytochrome c, and increased membrane leakiness (29). In this setting, ischemic preconditioning or drugs that putatively target mitoKATP channels are remarkably effective at facilitating heart recovery and decreasing structural damage (11), which correlates with the preservation of mitochondrial ATP synthetic capacity (10). However, the underlying mechanisms preserving mitochondrial function are still unclear. In this study, we attempted to clarify the importance of K+ fluxes in matrix volume regulation during sustained ADP phosphorylation under conditions mimicking key elements of the ischemia-reperfusion environment. In this setting, mitochondria must accomplish sustained ADP phosphorylation to increase and maintain a high cytoplasmic phosphorylation potential, required for a viable cell. To define the time point at which mitochondria failed to respond properly, we used repeated ADP additions to a relatively small amount of mitochondria to ensure that the ADP load per mitochondrion would be high. We show that in isolated fatty acid-energized mitochondria exposed to elevated Pi, Mg2+, and ADP to simulate the ischemic milieu, matrix volume undergoes severe ADP-induced shrinkage, which progressively inhibits ATP synthetic capacity. Activation of K+ influx pathways protects against these consequences by preserving matrix volume.
Nonionic Versus Ionic Matrix Volume Regulation
We used light scattering to track matrix volume changes, based on previous observations that light scattering correlates with matrix volume shifts with no obvious effect on total mitochondrial volume (15, 28). In the original studies, a single 250 µM ADP pulse was added to a relatively large amount of mitochondria (>0.5 mg/ml), and ADP-induced changes were determined in parallel by electron microscopy and correlated with light scattering. Although alternative explanations for light scattering changes, such as adenine nucleotide translocator conformational changes (5), have been proposed, they remain controversial (12). Our electron micrographs shown in Fig. 4 confirm directly that light scattering changes were associated with dramatic matrix volume shifts without affecting total mitochondrial volume.
On the basis of the observation that similar light scattering changes in response to ADP occurred in sucrose or mannitol as well as ionic buffer, an ion-independent intrinsic mechanism for matrix volume regulation was initially proposed (15). Although the basis of this intrinsic mechanism is not clearly understood, other studies showed that the ionic environment can have a strong impact on these volume changes, and a relatively low K+ concentration (0.4 mM) was effective at significantly accelerating matrix volume recovery after ADP, provided that valinomycin was added to open an additional K+ influx pathway (28). Our data suggest that, although mitochondria were able to recover from ADP-induced matrix shrinkage in nominally ion-free medium, this intrinsic ability was limited when respiratory chain power is reduced. We demonstrated that in the presence of cations, the ability of mitochondria to phosphorylate ADP increases in the order of Li+ < Na+ < K+. Furthermore, this K+-dependent increase seemed to be especially important in mitochondria with a high ADP load and decreased ability to support 
. The matrix volume changes that we observed consistently paralleled changes in 
, as expected if related to 
-driven K+ (and Pi) uptake followed by H2O uptake and matrix swelling. O2 consumption was also impaired when matrix volume was excessively reduced by ADP pulses. Increased osmolarity outside mitochondria has been known for a long time to shrink matrix volume, inhibit swelling, and impair substrate oxidation (32), especially with fatty acids as substrates (16). Matrix condensation has been shown to impair diffusion of metabolite-sized fluorescent probes, suggesting that decreased respiration could simply be due to impaired diffusion of metabolites in the protein-dense matrix (39). Thus we hypothesize that once the matrix contracts to a critical degree, electron transport slows to a point at which 
cannot efficiently recover. Without 
to provide the adequate driving force for K+ influx, loss of K+ from the matrix osmotically draws water from the matrix, causing further shrinkage and impairment of electron transport, in a vicious cycle. This cycle does not require permeability transition pore opening, however, because restoration of complex I substrates led to full 
and matrix volume recovery, which would be impossible if the permeability transition had occurred.
Role of Mg2+
In the presence of Mg2+, 
and matrix volume recovery after ADP pulses were significantly worse in fatty acid-energized mitochondria. This Mg2+ effect was rapidly reversible with EDTA. Mg2+ is known to decrease inner membrane permeability to cations like Li+, Na+, and K+ (22, 33) and is also endogenous inhibitor of mitoKATP channels. Both Mg2+ and ATP are required to close mitoKATP channels, and only then is diazoxide effective at opening channels (19). Mg2+ is also known to decrease inner membrane proton leak (3). Inside the matrix, Mg2+ stimulates F0F1-ATPase and possibly other enzymes. However, exogenously added Mg2+ is not expected to rapidly enter the matrix, as demonstrated using Furaptra-loaded mitochondria (20), and Pi-stimulated electrophoretic Mg2+ uptake had little effect on matrix-free [Mg2+] (21). Furthermore, increases in matrix-free [Mg2+] would be expected to inhibit the K+/H+ antiporter (12) and, as a result, favor matrix swelling. All these findings, together with the ability of EDTA to rapidly abolish effects of Mg2+-induced matrix shrinkage, suggest that this cation acts on cytoplasmic side of the inner membrane.
Implications for Mitochondrial Protection in the Setting of Ischema-Reperfusion
To demonstrate the importance of K+-mediated matrix volume regulation in ADP phosphorylation, we performed most studies using a relatively low concentration of caproic acid as the sole exogenous substrate to limit respiratory chain power. In state 3, respiratory rates are expected to be lower in the presence of short-chain fatty acids compared with pyruvate, malate, and glutamate given together. In addition, octanoate (C8) has been shown to inhibit pyruvate oxidation by isolated mitochondria in state 3, an effect abolished with malate (6). Whatever the reason for the decreased ability to support 
during ADP phosphorylation, under those conditions matrix volume regulation becomes compromised and requires K+ flux into the matrix to prevent excessive shrinkage during sustained phosphorylation. In mitochondria energized with caproic acid or low concentration of pyruvate (0.2 mM), which failed to recover after repeated ADP pulses, provision of a full complement of complex I substrates (1.5 mM each of pyruvate, malate, and glutamate) to enhance respiratory chain power restored both 
and matrix volume. More directly relevant to ischemia-reperfusion, we showed in Fig. 9 that mitochondria subjected to anoxia/reoxgenation in the presence of elevated Mg2+ exhibited similar K+-mediated improvements in matrix volume regulation and ADP phosphorylation, even when a full complement of complex I substrates was present. In this setting, the ability of mitochondria to recover and support 
during ADP phosphorylation is decreased due to inhibition of respiratory chain complexes, loss of cytochrome c, and increased inner membrane leakiness (29). We show that, similar to mitochondria in which respiratory power is limited by substrate availability, K+-dependent volume regulation becomes critical for efficient ADP phosphorylation in this setting. Our findings are consistent with the study by Ozcan et al. (38), who reported that diazoxide attenuated the anoxia-induced decrease in ATP production by isolated heart mitochondria, energized with saturating concentrations of pyruvate and malate. Although this study was not designed to solve the controversy of whether the inner membrane contains the mitoKATP channel as a separate functional entity, our results indirectly support this conjecture, because diazoxide mimicked the effects of the K+ ionophore valinomycin at preserving matrix volume and ATP synthetic capacity. Although we cannot absolutely exclude that nonselective effects of diazoxide were at play, the most straightforward explanation is that diazoxide opened mitoKATP channels in the inner membrane.
In summary, our results directly support the hypothesis by Garlids group (11) that opening additional diffusion pathways for K+ uptake is important for avoiding excessive matrix shrinkage in phosphorylating mitochondria. The importance of this additional K+ uptake pathway during ADP phosphorylation is difficult to detect in well-energized and oxygenated mitochondria. Nevertheless, under conditions in which the ability of mitochondria to support 
in state 3 is decreased, mitochondria become sensitive to factors inhibiting K+ flux into the matrix. This K+ flux-dependent recovery of matrix volume and 
from ADP-induced changes is apparently required for sustained APD phosphorylation and thereby may be an important component of diazoxide-mediated cardioprotection.
| GRANTS |
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| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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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.
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