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Department of Surgery, University of Connecticut School of Medicine, Farmington, Connecticut 06030-1110; Department of Surgery, Baystate Medical Center, Springfield, Massachusetts 01199; and Creighton University School of Pharmacy and Allied Health Professions, Omaha, Nebraska 68178
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ABSTRACT |
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To
examine whether nutritional supplementation of coenzyme Q10
(CoQ10) can reduce myocardial ischemia-reperfusion
injury, a group of swine was fed a regular diet supplemented with
CoQ10 (5 mg · kg
1 · day
1)
for 30 days. Another group of pigs that were fed a regular diet supplemented with placebo served as a control. After 30 days, isolated
in situ pig hearts were prepared and hearts were perfused with a
cardiopulmonary pump system. Each heart was subjected to 15 min of
regional ischemia by snaring of the left anterior descending coronary artery, followed by 60 min of hypothermic cardioplegic global
ischemia and 120 min of reperfusion. After the experiments were
completed, myocardial infarct size was measured by triphenyltrazolium chloride staining methods. Postischemic left ventricular contractile function was better recovered in the CoQ10 group than in
the control group of pigs. CoQ10-fed pigs revealed less
myocardial infarction and less creatine kinase release from the
coronary effluent compared with control pigs. The experimental group
also demonstrated a smaller amount of malonaldehyde in the coronary
effluent and a higher content of the endogenous antioxidants ascorbate
and thiol. Significant induction of the expression of ubiquitin mRNA
was also found in the hearts of the CoQ10-fed group. The
results of this study demonstrate that nutritional supplementation of
CoQ10 renders the hearts resistant to
ischemia-reperfusion injury, probably by reducing the oxidative stress.
ubiquitin; ubiquinone; oxygen free radicals; oxidative stress
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INTRODUCTION |
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A LIPID SOLUBLE BENZOQUINONE, coenzyme Q10 (CoQ10), is an essential component for electron transport in oxidative phosphorylation of mitochondria. Also called ubiquinone, its principal function is to act as an electron carrier between the NADH and succinate dehydrogenases and the cytochrome system (35). During mitochondrial electron transport, ubiquinone also occurs as semiquinone and ubiquinol, the fully reduced form of ubiquinone. Semiquinone has a role in the generation of superoxide anions during mitochondrial respiration (22), whereas ubiquinol functions as an intracellular antioxidant, presumably by preventing both the initiation and propagation of lipid peroxidation (13).
CoQ10 appears to be involved in the coordinated regulation between oxidative stress and antioxidant capacity of heart tissue. When the heart is subjected to oxidative stress in various pathogenic conditions (9, 23), the amount of CoQ10 is decreased, which triggers a signal for increased CoQ10 synthesis. It has been reported that in patients with cardiac disease such as chronic heart failure, the myocardium becomes deficient in CoQ10 and CoQ10 reductase (35). CoQ10 level is also reduced in other cardiovascular diseases such as cardiomyopathy (28). CoQ10 can protect human low-density lipoprotein (LDL) from lipid peroxidation, suggesting its role in atherosclerosis (33). Several reports exist in the literature indicating cardioprotective effects of CoQ10 against ischemia-reperfusion injury (15, 28, 34). However, none of these studies attempted to evaluate the mechanism(s) of CoQ10-mediated cardioprotection, and none demonstrated whether postischemic improvement of myocardial function was caused by the improvement of an endogenous defense system.
In the present study, the mechanism of action of CoQ10 was examined by feeding pigs CoQ10 for 1 mo in an attempt to increase the CoQ10 content of the heart. The results of this study demonstrated that CoQ10-fed pigs were resistant to myocardial ischemia-reperfusion injury. The hearts of CoQ10-fed animals had higher levels of CoQ10, higher levels of the intracellular antioxidants ascorbate and thiol, and an increased amount of ubiquitin gene expression, which may be attributed to its ability for being resistant to ischemic injury.
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MATERIALS AND METHODS |
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Measurement of myocardial CoQ10.
For CoQ10 assay, the left ventricular (LV) biopsies from
the ischemic region were quickly frozen in liquid nitrogen. Frozen tissues were stored at
70°C for subsequent determination of
CoQ10. At a later date, the tissues were homogenized and
treated with 2% ferric chloride to convert the reduced form of
ubiquinone into the oxidized form, which was extracted with
n-hexane. The solvent was evaporated at 30°C under
nitrogen. The residue was dissolved in isopropyl alcohol and analyzed
by HPLC (11). CoQ10 was eluted with methanol-ethanol (1:1
vol/vol) by being passed through a C18 column. Ultraviolet absorbance
of the elute was monitored at 275 nm.
Treatment with CoQ10.
Male Yorkshire pigs weighing 18-25 kg were used in this study.
Animals received humane care in compliance with the "Principles of
Laboratory Animal Care" formulated by the National Society for
Medical Research and the Guide for the Care and Use of Laboratory Animals prepared by the Institute of Laboratory Animal Resources and published by the National Research Council (Revised 1996). Twelve
pigs were fed coenzyme Q10 (5 mg · kg
1 · day
1;
UAS Laboratories, Minnetonka, MN) supplemented with regular laboratory
diet for 30 days. Twelve age-matched pigs that were fed regular diets
plus placebo served as controls.
Experimental preparation. At the end of 30 days, each pig was tranquilized with ketamine (20 mg/kg body wt) and anesthetized with pentobarbital sodium (25 mg/kg body wt). Endotracheal intubation was performed, and ventilation was maintained by a volume respirator with room air. A median sternotomy was performed, and the azygos vein was ligated (25). The pericardium was incised and suspended in a pericardial cradle. After heparinization with heparin sodium (300 U/kg body wt), an arterial cannula was placed in the ascending aorta through the right carotid artery and a venous cannula was placed in the right atrium. A cannula was also placed in the left atrium through the appendage to control preload for measurements of ventricular function. Sonometric dimension crystals (diameter 6 mm) made of 3-MHz piezoelectric crystals (Triton Technologies, San Diego, CA) were placed at the endocardial surface across the anteroposterior minor axis, septal-free wall minor axis, and base-apex major axis of the left ventricle. The anteroposterior crystals were placed adjacent to the anterior and posterior descending coronary arteries. The septal-free crystals were located one-half the distance from the apex to the base. The base crystal was placed into the left ventricle adjacent to the origin of the left circumflex coronary artery, and the apex crystal was placed into the LV apex. Cardiopulmonary bypass with a membrane oxygenator was initiated, and blood was collected from the pig in a reservoir. The heart was then isolated in its own perfusion circuit by completely cross-clamping the ascending aorta just distal to the right brachiocephalic artery distal to the arterial inflow and ligating both superior and inferior vena cavae. The main pulmonary trunk was drained. This achieves complete cessation of systemic circulation while coronary perfusion is maintained.
On stable bypass, the left anterior descending coronary artery (LAD) was then snared just distal to the first diagonal branch. After 15 min of normothermic regional ischemia, the aorta was clamped and the ligature removed from the LAD. Normothermic cardioplegic arrest was initiated. Initial high-K+ blood cardioplegic solution (K+ 20-24 meq/l, 20 ml/kg) was administered through the carotid cannula into the coronary circulation at a flow rate that insured a perfusion pressure of 50-75 mmHg. This high-K+ blood cardioplegic solution arrested each heart promptly. Additional low-K+ blood cardioplegic solution (K+ 8-12 meq/l, 10 ml/kg) was administered every 15 min (at 15, 30, and 45 min) for a total of 60 min of arrest. After 60 min of cardioplegic arrest, the heart was reperfused on cardiopulmonary bypass. The snare of the LAD was released just before reperfusion. Normothermia was maintained with a heat exchanger, and reperfusion was continued for a total of 180 min. Coronary perfusion was maintained at
75 mmHg. Defibrillation was applied when the heart
suffered ventricular fibrillation during reperfusion. The heart was
atrially paced at 120 beats/min. No cardiotonic or antiarrhythmic drugs
were administered during the experiment. Blood samples were taken
through the pulmonary arterial cannula (coronary sinus blood) at 0 min
(baseline) and during the reperfusion for malonaldehyde (MDA) and
creatine kinase (CK) measurements. Before regional ischemia and
at the end of experiment, LV biopsies were taken for biochemical determination.
Functional data were obtained by adding 60 ml of saline through the
left atrial cannula to raise the LV end-diastolic pressure, with
subsequent withdrawal of the saline while maximal developed pressure
and end-diastolic pressure were measured before ischemia (control) and during reperfusion. The first derivative of LV pressure (LV dP/dt) was calculated as a polynomial approximation from
the digital LV pressure signal. LV dP/dtmax was
obtained when the point of the LV pressure-volume loop showed peak LV
developed pressure (LVDP).
Estimation of CK release from heart. CK was quantified from 0.5 µl of plasma by the enzymatic assay method using a CK assay kit (Sigma Diagnostics, St. Louis, MO). The absorbance was read at 340 nm using a Beckman DU-8 spectrophotometer. The enzyme activity was expressed in units per milliliter.
Assessment of myocardial infarction.
After 2 h of reperfusion, triphenyltetrazolium chloride (TTC; 10 ml,
1% solution) in phosphate buffer preheated to 37°C was injected
directly into the coronary arteries through the ascending aorta at
70-75 mmHg after the distal ascending aorta was clamped. We did
not attempt to measure the area of risk because it is well known that
pig hearts have little collateral coronary circulation. However, the
area of risk was identical in the two groups when the LAD was clamped
just distal to the first diagonal branch. After a 10-min incubation,
noninfarcted myocardium was stained red and infarct area was unstained.
The heart was stored at
20°C, and frozen slices
were analyzed with sections from apex to base. The infarct area was
calculated as a percentage of the total LV myocardium.
Measurement of MDA formation. MDA was assayed as described previously to estimate the lipid peroxidation (5). Plasma (1.5 ml) was mixed with an equal volume of 20% TCA and 5.3 mM sodium metabisulfite. Protein was precipitated on ice for 10 min. Two milliliters of supernatant were derivatized with 2,4-dinitrophenylhydrazine and extracted with pentane. MDA formation was then measured using HPLC (5).
Determination of antioxidant reserve.
The antioxidant reserve (12, 33) of each heart was measured on the
basis of its ability to reduce the phenoxyl radical of a hindered
phenol,
4'-dimethyl-epipodophyllotoxin-9-(4,6-O-ethylidene-
-D-glucopyranoside) (VP-16), generated as an intermediate in the oxidation of phenoxyl radical by tyrosinase (12). Reduction of the generated VP-16 phenoxyl
radical by endogenous antioxidants results in a delay (lag period) in
the appearance of the characteristic electron spin resonance (ESR)
signal of the VP-16 radical.
Assessment of ubiquinone gene expression.
LV biopsies obtained for ubiquitin mRNA determination were immediately
frozen in liquid nitrogen and stored at
70°C for subsequent mRNA determination. Total RNA was extracted from the heart by the
acid-guanidinium-thiocyanate-phenol-chloroform method as previously described by Maulik et al. (26). For Northern blot
analysis, total RNA was electrophoresed in 1%
agarose-formaldehyde-formamide gel and transferred to Gene Screen Plus.
After prehybridization, membranes were hybridized with a 780-bp
(Hind IIV/BamH I) cDNA insert encoding porcine
ubiquitin (32). Each hybridization was repeated at least three times
using different membranes. After each hybridization, ubiquitin cDNA was
removed and rehybridized with glyceraldehyde-3-phosphate dehydrogenase
(GAPDH) cDNA probe, the results of which served as loading controls.
The autoradiographs were quantitatively evaluated by a computerized
beta scanner. The results of densitometric scanning were normalized
relative to the signal obtained with GAPDH cDNA probe.
Statistical analysis. The results are expressed as means ± SE. An ANOVA was carried out first to compare variance between groups. Differences between groups were analyzed by a two-tailed Student's t-test. A P value <0.05 was considered statistically significant.
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RESULTS |
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Effects of CoQ10 feeding on myocardial CoQ10
content.
To ensure the bioavailability of CoQ10 in the heart, the
amount of CoQ10 was estimated in the hearts of both
CoQ10-fed and non-CoQ10-fed groups. Hearts of
the CoQ10-fed group showed significantly higher
CoQ10 content (28 ± 0.5 µg/g heart) compared with
controls (21 ± 0.7 µg/g heart) (Fig.
1). After ischemia, control hearts demonstrated a lower CoQ10 content (19.2 ± 0.9 µg/g
heart) than the baseline values. In contrast, the amount of
CoQ10 remained unaltered in the CoQ10-fed
hearts (27.3 ± 0.8 µg/g heart). Two hours of reperfusion did not
alter these values significantly in either group of hearts.
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LV function.
Hemodynamic parameters with a load of 60 ml of saline in control and
treatment groups are shown in Fig. 2. The
CoQ10-fed group consistently demonstrated higher recovery
of postischemic LV systolic function. For example, LVDP was lowered
after 30 min of reperfusion in the non-CoQ10-fed group to
142 ± 9.5 mmHg compared with 165 ± 7.2 mmHg in the
CoQ10-fed group. The same trend persisted up to 120 min of
reperfusion, when LVDP in the control group was 92 ± 3.9 mmHg
compared with 131 ± 4.2 mmHg in the CoQ10-fed group. LV
dP/dtmax followed a similar pattern. Thus, at the
end of reperfusion, these values were 1,110 ± 98 mmHg/s for the
control group versus 1,976 ± 85 mmHg/s for the CoQ10-fed
group.
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Tissue injury.
CK release from the heart truly reflects cellular injury and tissue
necrosis. As shown in Fig. 3, CK release
increased steadily and progressively in both groups. However, the
amount of CK release in the hearts of the CoQ10-fed group
was consistently lower than that in hearts of the
non-CoQ10-fed group. For example, after 30 min of
reperfusion, the amount of CK release from the control hearts was 112 ± 5.8 IU/l compared with 72 ± 5.6 IU/l from the CoQ10-fed hearts. At the end of 2 h of reperfusion, CK
release from the control heart was 212 ± 5.9 IU/l compared with only
115 ± 6.9 IU/l for the CoQ10-fed pig hearts.
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Reduction of oxidative stress by CoQ10.
The amount of oxidative stress in the heart was determined by examining
the free radical-lipids interaction product, lipid peroxidation, by
monitoring the amount of MDA content in the coronary effluent (3, 5).
An increased amount of MDA was found in all groups during the early
reperfusion, as expected. However, as shown in Fig.
5, the amount of MDA was significantly
lower in the CoQ10-fed group than in the
non-CoQ10-fed group at each time point tested, suggesting
that CoQ10 resulted in the reduction of oxidative stress
that is developed during ischemia and reperfusion. At 3 min of
reperfusion following ischemia, the MDA concentration was 110 ± 6 pmol/ml for the control group versus 52 ± 4.8 pmol/ml for
CoQ10-fed pig hearts. Even after 2 h of reperfusion, the
amount of MDA released from the control hearts was 62 ± 5 pmol/ml
compared with 30 ± 4.5 pmol/ml from the CoQ10-fed hearts.
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Effects of CoQ10 on antioxidant reserve of the heart.
The VP-16 phenoxyl radical formed as an intermediate in the VP-16
oxidation by tyrosinase was detected. In the presence of heart
homogenates, the characteristic ESR signal of the VP-16 phenoxyl
radical could be observed only after a lag period. Heart homogenates
from the non-CoQ10-fed animals showed a significantly lower
amount of lag period for the appearance of the tyrosinase-induced VP-16
phenoxyl radical ESR signal (Fig.
6). A significantly greater amount of lag period was found for CoQ10-fed heart
homogenates, suggesting greater antioxidant reserve in the hearts of
CoQ10-fed pigs.
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Ubiquitin gene expression.
The ubiquitin gene was ubiquitously present in the hearts of all
animals. The transcripts UbB and UbC were detected in the hearts of
non-CoQ10-fed animals at 2.5 and 3.5 kb, respectively (Fig.
7). Induction of the expression of UbB and
UbC was increased significantly in the CoQ10-fed hearts.
Additionally, an induction of the expression of UbA was also prominent
in the hearts of the CoQ10-fed group only.
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DISCUSSION |
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In the present study, we demonstrated an ~30% increase in the myocardial content of CoQ10 after 30 days of feeding. There are a number of data showing that the tissue level of CoQ10 increases after the administration of exogenous CoQ10 in mammals, including humans (17). Exogenously administered CoQ10 is nonspecifically incorporated into the cell membranes and into various subcellular fractions and organelles, such as mitochondrial membranes and sarcoplasmic reticular membranes (29). Ferrara et al. (15) reported that after 4 wk of dietary supplementation with CoQ10, tissue concentration of CoQ10 was elevated by 22% and oxidative stress was significantly suppressed. In our study, we showed a 30% increase in myocardial CoQ10 content after 1 mo of CoQ10 feeding. After ischemia and reperfusion were completed, the average myocardial CoQ10 content in the treatment group was still higher than that in the control group by 37%. These results corroborated with the findings that total antioxidant reserve in the heart was higher and the amount of oxidative stress was lower in the CoQ10-fed group compared with the non-CoQ10-fed group of hearts. In concert, CoQ10 feeding resulted in higher postischemic ventricular recovery, lower CK release from hearts, and reduced infarct size, suggesting that CoQ10 might be instrumental in the reduction of myocardial ischemia-reperfusion injury. We measured LVDP and LV dP/dtmax after 30, 60, 90, and 120 min of reperfusion. CoQ10-fed animals showed significantly higher levels of LV dP/dtmax at each time point, whereas higher levels of LVDP were found only at 60, 90, and 120 min of reperfusion. Although at 30 min of reperfusion the LVDP of CoQ10-fed pigs was higher than that of controls, the difference was not significant.
A significant number of reports exist in the literature to support a role of oxygen free radicals and oxidative stress in ischemia-reperfusion injury (6, 24). The presence of reactive oxygen species has been detected directly using ESR and HPLC techniques and indirectly from the extent of increased lipid peroxidation and DNA and protein damage (3, 4). A variety of antioxidants and antioxidant enzymes such as Mn-superoxide dismutase, catalase, and glutathione-peroxidase were shown to protect cells from oxidative stress and reduce myocardial ischemia-reperfusion injury (8). It was reported that activity of endogenous antioxidants decreased after ischemia and reperfusion (7, 19). In addition to the role of CoQ10 as a component of the mitochondrial respiratory chain, its role as an intracellular antioxidant has gained attention in recent years. However, the precise mechanism of action is not yet well understood. In vitro study demonstrated that the reduced form of CoQ10 protects membrane phospholipid and serum LDL from lipid peroxidation (2). In vivo study reported that CoQ10 reduces myocardial ischemia-reperfusion injury induced by oxidative stress through the suppression of the formation of reactive oxygen species (28, 35). Ferrara et al. (15) showed that long-term CoQ10 supplementation renders protection against oxidative stress induced by ischemia-reperfusion. On the other hand, Hano et al. (18) showed that a beneficial effect is not observed when CoQ10 is added at the onset of reperfusion. Our study showed that long-term administration might enable hearts to increase CoQ10 content, which may be beneficial in protecting the heart from ischemia-reperfusion injury.
In the present study, we used the cardiopulmonary bypass model, which
utilizes an isolated in situ heart and mimicks the in vivo
ischemia-reperfusion injury. This animal model also simulates human open-heart surgery, because the time course is consistent with
human surgery and the heart is subjected to reperfusion with blood. We
also adopted hypothermic intermittent blood cardioplegia to protect
globally ischemic myocardium. In this model, whole blood was used as a
perfusate and the main component of cardioplegia. Whole blood carries
leukocytes and oxygen that might be an additional source of free
radicals. For example, activated neutrophils during cardiopulmonary
bypass generate free radicals (1). Thus the heart was subjected to
additional oxidative stress (like in a real situation of open-heart
surgery) from blood perfusion in addition to
ischemia-reperfusion. Sarcolemmal phospholipids are potential
targets for reactive oxygen species, and interaction gives rise to
membrane lipid peroxidation. Several aldehydes and ketones such as MDA
are the breakdown products of spontaneous fragmentation (
-cleavage)
of peroxides derived from the free radical-polyunsaturated fatty acid
interactions. In this study we measured serum MDA, and
CoQ10-fed hearts showed a significantly reduced amount of
MDA in serum after reperfusion. A significantly higher amount of MDA
was found in the control hearts after 3 min of reperfusion, which was
quite as expected because free radicals are generated at the onset of
reperfusion. CoQ10 blocked this early increase of MDA and
maintained lower MDA throughout the reperfusion period. Under
normal conditions, free radicals and lipid peroxidation products cannot
accumulate in the heart because they are promptly removed by the
endogenous protecting system such as antioxidants and antioxidant
enzymes that may include endogenous CoQ10.
In this study we adapted a previously described technique for measuring intracellular antioxidants that truly reflects the interactions between the two most important intracellular antioxidants, ascorbate and thiol, in their natural environments (12, 27). To determine tissue antioxidant activity toward phenoxyl radical, we quantitated the ability of heart homogenates from non-CoQ10-fed and CoQ10-fed pigs to reduce an in vitro generated phenoxyl radical. The ESR signal with characteristic features of VP-16 phenoxyl radical was apparent before the addition of tissue homogenates that immediately quenched this signal. As described in earlier reports (12, 27), the kinetics of the regeneration of the phenoxyl radical ESR signal following the addition of heart homogenates provides an estimate of two endogenous antioxidants in the hearts: ascorbate and thiol. The results for antioxidant reserve corroborated with the results of MDA formation, demonstrating higher antioxidant reserve and lower oxidative stress in the hearts of CoQ10-fed animals.
In mitochondria, CoQ10 acts as a mobile distributor of
reducing equivalents among NADH dehydrogenase, succinate dehydrogenase, and the cytochrome b-c1 segment of the
electron transport chain and as a participant in the protonmotive Q
cycle responsible for the transfer of protons across the coupling
membrane (14). In biological systems, CoQ10 functions as a
potent antioxidant, and in its reduced form, ubiquinol, it acts as a
free radical scavenger (36). Two different mechanisms of
CoQ10 antioxidant function are known to exist: 1)
it may act independently as a chain-breaking antioxidant, providing
hydrogen atoms to reduce peroxyl and/or alkoxyl radicals; or 2)
a redox interaction may exist between CoQ10 and another
lipid-soluble antioxidant, such as
-tocopherol, in its one-electron
oxidized form, vitamin E phenoxyl radical (16).
Ubiquitin is a protein of 76 amino acids found in all eukaryotic cells (20). It has been implicated in ATP-dependent proteolysis and exhibits remarkable evolutionary sequence conservation from animal to animal (21). It has been characterized as a heat shock-induced protein in humans, chickens, pigs, and yeast as well as other organisms (10). During the initial periods of heat shock, the protein-ubiquitin conjugation undergoes rapid and pronounced changes, presumably because of deubiquitination of histone H2A and subsequent accumulation of aberrant proteins. The altered transcription of the ubiquitin gene seems to be essential for restoration of normal activities (30). In the present study, upregulation of ubiquitin gene expression was observed in the hearts of CoQ10-fed pigs. UbA transcript was not found in the hearts of non-CoQ10-fed pigs, whereas UbB and UbC transcripts were identified in these hearts. The levels of UbB and UbC were significantly enhanced, and UbA was induced, in the hearts of pigs fed CoQ10. In recent studies (31, 32), a coordinated expression pattern of ubiquitin and heme oxygenase genes was shown in the same porcine model in which the LAD was occluded for 10 min and reperfused for 30 min and after a second occlusion of 10 min followed by 210 min of reperfusion. Given the fact that ubiquitin plays an essential role for degradation of many proteins, the significant induction of ubiquitin gene expression suggests that CoQ10 may be involved in antioxidant adaptation on both degradation of nonessential harmful proteins and induction of new proteins essential for survival in the new environment.
In conclusion, this study demonstrated that nutritional supplementation with CoQ10 provides cardioprotection against ischemia-reperfusion injury. Reduction of oxidative stress in conjunction with increased antioxidant reserve in CoQ10-fed hearts suggests that CoQ10 functions through the improvement of antioxidant reserve of the heart. The present study utilized pig hearts in a cardiopulmonary bypass model. The hearts were subjected to 15 min of LAD occlusion followed by 60 min of hypothermic cardioplegic arrest and 2 h of reperfusion. Infarct size was determined in the hearts subjected to 2 h of reperfusion, whereas the standard practice for TTC infarct size estimation in in vivo preparations is a minimum of 3 h of reperfusion.
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ACKNOWLEDGEMENTS |
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This study was supported by National Heart, Lung, and Blood Institute Grants HL-22559, HL-34360, HL-33889, and HL-56803 and by a Grant-in-Aid from the American Heart Association.
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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. §1734 solely to indicate this fact.
Address for reprint requests and other correspondence: D. K. Das, Cardiovascular Division, Dept. of Surgery, Univ. of Connecticut School of Medicine, 263 Farmington Ave., Farmington, Connecticut 06030-1110 (E-mail: ddas{at}neuron.uchc.edu).
Received 21 July 1999; accepted in final form 13 October 1999.
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