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1 Department of Physiology, Temple University School of Medicine, Philadelphia, Pennsylvania 19140; and 2 Department of Physiology and Biophysics, Albert Einstein College of Medicine, Bronx, New York 10461
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ABSTRACT |
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To examine the relationship between
mitochondrial NADH (NADHm) and cardiac work output,
NADHm and the amplitude and frequency of the contractile
response of electrically paced rat heart cells were measured at 25°C.
With 5.4 mM glucose plus 2 mM
-hydroxybutyrate, NADHm was reversibly decreased by 23%, and the amplitude
of contraction was reversibly decreased by 27% during 4-Hz pacing.
With glucose plus 2 mM pyruvate or with 10 mM
2-deoxy-D-glucose, NADHm was maintained during
rapid pacing, and the contractile amplitude remained high.
Phosphocreatine levels decreased with 2-deoxy-D-glucose administration but not with rapid pacing. Respiration increased to meet
the increased ATP demand at 30°C. The data suggest that 1)
when NADHm is decreased during rapid pacing with defined
substrates, the amplitude of contraction is decreased; 2)
the amplitude of contraction during electrical pacing does not change
with rate of pacing when both the ATP and NADHm levels are
continuously replenished; and 3) the replenishment of
NADHm during pacing with physiological substrates may be
rate-limited by substrate supply to mitochondrial dehydrogenases.
During activation of mitochondrial dehydrogenases, or a significant
increase in free ADP induced by 2-deoxy-D-glucose,
this rate limitation is bypassed or overcome.
restwork transition; steady-state adenosine 5'-triphosphate utilization; substrate supply; phosphocreatine; lactate; 2-deoxy-D-glucose; reduced nicotinamide adenine dinucleotide; reduced nicotinamide adenine dinucleotide phosphate
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INTRODUCTION |
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DURING INCREASED CARDIAC OUTPUT the contractile apparatus, together with the pumps and exchangers necessary to maintain transmembrane ionic gradients, create an increased demand for ATP. Recent NMR data in the whole heart have shown that when steady-state ATP utilization is increased, an increased rate of ATP synthesis can be maintained without detectable change in the steady-state levels of high-energy phosphate (7). To maintain constant mitochondrial NADH (NADHm) levels during increased work output when the rate of NADHm oxidation is increased, NADHm must be replenished by increased rates of NADH synthesis. NADH supply is governed by the rates of the mix of mitochondrial dehydrogenases drawing on a common pool of NAD+ and the relative concentrations of the substrates of the mitochondrial dehydrogenases (26).
The beating heart, when perfused with blood containing both glucose and fatty acid, preferentially uses fatty acids as a substrate (12). The heart becomes more dependent on glucose oxidation, however, at high work loads (20).
NADHm is most accurately and reliably measured in isolated
heart cells, where oxygen delivery and substrate delivery can be rigorously controlled and the optical path length for fluorescence measurements is relatively constant for any given field of view (24). NADHm in isolated heart cells is
decreased by 30% during 4-Hz electrical pacing with glucose and
glutamine as substrates (24). To test whether the decrease
in NADH is due to a limitation in the rate of supply of reducing
equivalents from exogenous substrates, we supplemented the
extracellular glucose with fatty acids or the ketoacids acetoacetate or
-hydroxybutyrate. We chose glucose plus
-hydroxybutyate as our
standard reference condition.
We have shown that in the presence of ample oxygen and physiological substrates, the rate of supply of reducing equivalents may limit the steady-state replenishment of NADHm during rapid pacing; the consequent decrease in NADHm is accompanied by decreased contractility. NADHm and the contractile amplitude during pacing may be enhanced by substrate manipulation or by a large increase in free ADP (ADPfree).
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MATERIALS AND METHODS |
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Preparation of Isolated Heart Cells
Heart cells were prepared from adult male rats (350-450 g) by a modification of the procedure reported previously (25). The isolation medium, HEPES-buffered minimal essential medium (MEM), contained (in mM) 117 NaCl, 5.7 KCl, 4.4 NaHCO3, 1.5 NaH2PO4, 1.7 MgCl2, 21.1 HEPES, 10 taurine, 5.4 glucose, and 2 L-glutamine and amino acids and vitamins; pH was adjusted to 7.2, and osmolarity was adjusted to 292 mosM. Retrograde aortic perfusion of the heart with 0.05% collagenase (Boehringer) was followed by mechanical dissociation of cells from the tissue matrix, followed by separation of intact cells with Percoll. The final yield from each heart was 10-18 × 106 cells, of which 80-90% were rectangular and functionally intact (sarcomere length, 2.0 µm; synchronous contraction with electrical stimulation). Heart cell protein was 4.82 ± 1.60 mg protein/106 cells (n = 25).Measurement of NADHm in Cells
This method has been described previously (24). The NADHm level is defined as the ratio of NADH fluorescence measured under a defined condition divided by the maximal NADH observed in the presence of 10 µM rotenone. A Nikon inverted microscope equipped with an epifluorescence attachment and dual, matched photomultiplier tubes was used as a microfluorimeter to record intrinsic fluorescence spectra from myocytes at two wavelengths (415 and 470 nm). Fluorescence emissions from single myocytes (steady-state measurements averaged over 6-30 cells; see Fig. 1, left) or groups of 12-15 myocytes (kinetic measurements; see Figs. 2 and 3) were isolated using a mask with a rectangular opening of constant size in the light path. NADH fluorescence was measured near 470 nm. Cell fluorescence not specific to NADH (background) was measured at 415 nm, a wavelength isoemissive for oxymyoglobin and deoxymyoglobin. This serves as a reference to compensate for differences in cell thickness and light scattering and was subtracted from the reading at 470 nm. Fluorescence measurements were made during a 15-ms, 350-nm illumination of cells. Separate measurement of the NADH of round cells gave the fully oxidized NADH value. The two photomultiplier signals were collected by a Macintosh computer (Apple Computer, Cupertino, CA) connected to a MacLab (CB Sciences, Dover, NH) data acquisition system. Steady-state NADH fluorescence was measured in individual cells at defined periods during the pacing protocol. Cells were superfused with HEPES medium containing 3 mM CaCl2 and equilibrated with 50% O2-45% N2-5% CO2. The control values (shown in Table 1) were the calculated average of initial and recovery values. Occasionally (10-20% of experiments) a continual drop in NADHm was observed among the control, rapid pacing, and recovery. This was attributed to a decline in the viability of the cell during the experimental protocol, and these data were rejected. In the presence of either acetate or iodoacetate, repeated experiments showed that NADH during recovery was significantly lower than that observed initially, even though a significant decrease in NADH was observed during rapid pacing compared with recovery. In these cases the final recovery value was used as the control.
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Pacing Protocol
Cells were equilibrated for 20 min with stimulation at 0.4 Hz. After 10 min at 4 Hz (comparable to the rate of a normal rat heart) and, finally, to demonstrate reversibility, we then reduced the rate of electrical stimulation to 0.4 Hz for 20 min. Steady-state measurements of single cells are reported in Fig. 1 (left). The continuous time course of NADHm fluorescence (shown in Figs. 2 and 3) was obtained by continuous sampling of NADH fluorescence from a field of 12-15 isolated heart cells. Conditions were optimized for survival of the cells, with maximum sustainable contractile amplitude. The pacing protocol could be repeated three or four times without loss of cell viability. Cells (2 × 104 total cells) on the microscope stage were superfused with HEPES-buffered MEM (see composition in Preparation of Isolated Heart Cells) supplemented with 15 mM NaHCO3, 3 mM CaCl2, and 33 nM dobutamine at 25°C.
-Hydroxybutyrate or other additional substrates were given at a
dosage of 2 mM when present. The medium was equilibrated with a gas
mixture containing 50% O2-5% CO2 (balance
N2) to maintain the pH at 7.2 at a temperature of 25°C.
Control experiments showed no difference in NADH levels measured with
95% O2 compared with the 50% O2 superfusion.
Dobutamine was added to enable the cells to follow 4-Hz pacing. Calcium
levels were maximized to levels that did not cause calcium overload. Platinum-iridium electrodes at the bottom of the dish delivered bipolar
stimulation pulses. Stimulus voltage was increased until cells
contracted synchronously (usually <160 V/cm).
Measurement of Heart Cell Contractions
The frequency of contraction was controlled by the rate of stimulation. The extent of the contraction was independent of delivered stimulus voltages. Resting cell length was monitored, and if the resting length of the cell changed during recording, the data were discarded. The frequency and amplitude of contraction of individual cardiac myocytes were recorded using a high-speed video camera and video motion edge detector (Crescent Electronics, Orem, UT) in the Nikon microfluorimeter chamber. The video edge detector measured the time between two defined changes in contrast (the ends of the cell, i.e., the time recorded is a measure of cell length) in a scan line of a video image. During pacing, this measurement was recorded continuously and was updated for each field (240 s
1) of video data from the Pulnix camera. Cell
length, when plotted as a function of time, provides a measure of
diastolic and systolic length, the amplitude of contraction, and the
number of contractions. Cells contracted strongly (~20% of the total
length of the cell) when stimulated at 4 Hz in control experiments.
Measurement of Respiration in Cell Suspensions
The method has been described previously (3-5). Steady-state oxygen consumption rates were determined with a large-diameter, polarographic oxygen electrode (model 2110, Orbisphere, Geneva, Switzerland) in a thermostated brass block held at 30°C. Experiments were carried out under conditions compatible with cell viability. HEPES-buffered MEM supplemented with 1 mM CaCl2 and 33 nM dobutamine in the chamber was supplemented with other substrates as specified, and the mixture was equilibrated with 20% O2-balance N2. Cells (3-10 × 105 total cells) in the respiration chamber were stirred constantly. Sixty-seven percent of the total cells in the chamber were rectangular at the end of an experiment. Because only rectangular cells contract synchronously in response to electrical stimulation, respiration values were normalized to the number of rectangular cells. This calculation may overestimate the normalized resting respiration, because damaged rounded cells can still take up oxygen. The respiration chamber was equipped with Ag-AgCl stimulating electrodes for pacing the cells. No electrolytic generation of gases was observed during electrical stimulation in the absence of cells. Stimulus pulse duration was 0.05 ms at 90 V.Measurements of High-Energy Phosphate Levels
Analytical procedures were used as described previously (see Ref. 5).| |
RESULTS |
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We have examined NADHm, the contractile amplitude of contraction, high-energy phosphate levels, and the rate of steady-state respiration in heart cells with different substrates and different rates of ATP utilization.
Effect of Substrates
Glucose plus
-hydroxybutyrate.
mitochondrial nadh.
Steady-state measurements of NADHm in single isolated heart
cells are shown in Fig. 1 (left). With glucose and
-hydroxybutyrate as substrates, NADHm was significantly
and reversibly decreased by ~23% after 10 min of rapid pacing when
compared with slow pacing (P
0.05, see Fig. 1A
and Table 1). A significant decrease was also observed with glucose
supplemented with fatty acids or ketoacids (see Table 1). NADH
measurements in the presence of insulin were not significantly
different at rest or during pacing (see Table 1). In comparison, Fig.
2A shows a continuous trace of NADHm as a
function of time measured in a field containing 12-16 cells. Figure 2 illustrates that a distinct overshoot of NADH occurred during
recovery. Such overshoots in response to changes in stimulation rate
have been reported previously (2).
-hydroxybutyrate, however, the amplitude of contraction was
significantly and reversibly decreased (28 ± 2%,
n = 7) at the higher rate of stimulation, whereas
diastolic length was maintained.
HIGH-ENERGY PHOSPHATE LEVELS.
The phosphocreatine (PCr)-to-ATP (PCr/ATP) ratio measured in resting
cells with glucose plus
-hydroxybutyrate in the superfusion chamber
at 25°C was 1.85 ± 0.04 and was not significantly decreased during stimulation at 4 Hz (1.71 ± 0.08, n = 20).
The PCr/ATP ratio measured in stirred suspensions of cells at 30°C
(1.79 ± 0.05, n = 17) was not different from that
measured in superfused cells at 25°C. At 30°C, PCr was 50.5 ± 3.5 nmol/mg protein, ATP was 27.4 ± 1.4 nmol/mg protein, and the
calculated ADPfree was 51 µM (n = 17)
(see Table 2).
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Glucose plus pyruvate or lactate.
nadhm and contractile response.
In contrast to the results obtained with glucose plus
-hydroxybutyrate, neither NADHm nor the amplitude of
contraction decreased significantly during fast pacing with glucose
plus pyruvate as a substrate (Fig. 1B). Similar results were
observed with glucose plus lactate as a substrate (Table 1).
-hydroxybutyrate under
comparable conditions (Table 2).
Effects of Enhanced ATP Utilization and Pi Sequestration with 2-Deoxy-D-Glucose
The addition of 2-deoxy-D-glucose or iodoacetate inhibited the glycolytic pathway (see Fig. 5). In addition, 2-deoxy-D-glucose caused a substantial increase in ATP utilization for the phosphorylation of a large pool of 2-deoxy-D-glucose.
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NADHm and contractile response.
After a transient overshoot, NADHm returned to control
values during rapid pacing when cells were superfused with medium
containing 10 mM 2-deoxy-D-glucose with glucose plus
-hydroxybutyrate (Figs. 1C and 2A). In
contrast, NADHm was significantly reduced during rapid
pacing when iodoacetate was used to inhibit glycolysis (Table 2). With
2-deoxy-D-glucose, the cells were able to follow rapid rates of stimulation, and the amplitude of contraction at 4 Hz was
little reduced compared with that at 0.4 Hz (Fig. 1C and
Table 1).
High-energy phosphate levels. A large significant decrease in the PCr/ATP ratio was observed in the presence of 2-deoxy-D-glucose (see Fig. 2B and Table 2). The PCr/ATP ratio in resting cells was decreased to 0.7 in the microfluorimeter chamber at 25°C with 10 mM 2-deoxy-D-glucose compared with 1.85 in the absence of 2-deoxy-D-glucose. The PCr/ATP ratio was 0.8 when the pacing rate was increased to 4 Hz in the presence of 2-deoxy-D-glucose, and again there was no further increase in ADPfree during rapid pacing. Similarly, in heart cell suspensions stirred at 30°C, the PCr/ATP ratio was significantly decreased from 1.79 to 0.72 ± 0.09 (n = 6) with 2-deoxy-D-glucose, ATP was 26.6 ± 1.4 nmol/mg protein (7.6 mM), and PCr was 19.1 ± 3.0 nmol/mg protein (5.5 mM); the calculated ADPfree was 216 µM (see Table 2). No significant drop in the PCr/ATP was observed when glycolysis was inhibited with iodoacetate (see Fig. 2B).
Steady-state rate of oxygen utake.
The rate of respiration of unstimulated heart cells was increased to 48 ± 3.7 nmol O2/min per 106 rectangular
cells
1 (n = 3) in the presence of
2-deoxy-D-glucose, and the rate of respiration during rapid
pacing was reversibly and significantly increased to 61 ± 1.3 nmol
O2/min per 106 rectangular cells
(n = 3) (see Table 2). An illustrative example is shown
in Fig. 4 (top trace). Thus, although initial respiratory rates are higher and ADPfree was greatly increased,
electrical stimulation at 4 Hz with 2-deoxy-D-glucose
caused an increase in respiration (61
48 = 13 nmol
O2/min per 106 rectangular cells) of the same
order of magnitude as that observed in the absence of
2-deoxy-D-glucose (46
34 = 12 nmol
O2/min per 106 rectangular cells).
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DISCUSSION |
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Mitochondrial NADH
In the heart, NADH fluorescence arises from the mitochondrial compartment (23) and reflects the redox state of the free NADH pool of the mitochondrial matrix (10). Cytosolic NADH reflects the lactate-to-pyruvate ratio and is higher in the presence of lactate than of pyruvate (19). Because we find that the fluorescence intensity is not affected by changes in the lactate-to-pyruvate ratio, the fluorescence signal we detect is primarily from NADHm. The PCr/ATP ratio, a sensitive measure of hypoxia, remains high in superfused cells, and oxygen consumption can be increased severalfold over that observed in electrically stimulated cell suspensions by the addition of CCCP, an uncoupler of oxidative phosphorylation, demonstrating that oxygen supply is not limiting.NADH oxidation. Steady-state oxygen uptake was measured at different states of work output: heart cells at rest, heart cells stimulated at 4 Hz, heart cells uncoupled by CCCP, and heart cells treated with 2-deoxy-D-glucose. During 4-Hz stimulation, the rate of oxygen utilization increased from the resting level of 34 to 46 nmol O2/min per 106 rectangular cells (see Table 2). The stimulated rate was ~26% of the maximum rate achievable when oxidative phosphorylation was uncoupled with CCCP (118 nmol O2/min per 106 cells). The magnitude of the steady-state incremental oxygen uptake during 4-Hz stimulation was not affected by inhibition of glycolysis, decreased PCr levels, or the NADHm level (see Table 2 and Fig. 4). Thus the increase in oxygen consumption and, thereby, NADH oxidation was closely correlated to the rate of stimulation.
Our values of oxygen consumption for resting cardiac myocytes are of the same order of magnitude as those reported earlier (11, 18, 21). The fractional increment in oxygen utilization measured in stirred cell suspensions during 4-Hz pacing reported here is less than that estimated in electrically stimulated single cells on the stage of the microfluorimeter (25). The current data give a more precise measure of the actual increment of oxygen uptake during stimulation, because measurements in the steady-state chamber permit a more accurate measurement of the rate of oxygen uptake (3-5, 21). The steady-state rate of oxygen uptake gives a direct measure of the rate of oxidative phosphorylation in a tightly coupled system. Assuming a p/o ratio of 2.4 molecules of ATP per oxygen atom (13), the oxygen uptake during 4-Hz stimulation corresponds to a rate of ATP synthesis by oxidative phosphorylation of 215 nmol ATP/min per 106 rectangular cells. The increase in respiration during 4-Hz pacing is not accompanied by any change in ADPfree, in agreement with observations in the whole heart (7, 8) and in heart cells (21). These data show that homeostatic mechanisms maintain highly regulated ATP and ADPfree levels in the cells during increased activity. With
-hydroxybutyrate, lactate, or pyruvate, ADPfree
was 45-55 µM (Table 2), not far from the Michaelis-Menten
constant of 20-30 µM for ADPfree for oxidative
phosphorylation in mitochondria (7). With
2-deoxy-D-glucose, ADPfree was increased to 216 µM, and the rate of oxygen uptake was significantly increased by
~13 nmol O2/min per 106 rectangular cells in
unstimulated heart cells, corresponding to an additional synthesis of
64 nmol ATP/min per 106 rectangular cells to meet the
additional ATP demand. Stimulation at 4 Hz again caused an additional
increase in respiration of 13 nmol O2/min per
106 rectangular cells, corresponding to a total rate of ATP
synthesis of 279 nmol ATP/min per 106 rectangular cells.
The increment in respiration with 4-Hz pacing, over and above that
observed with 2-deoxy-D-glucose, was similar to that
observed during rapid pacing without 2-deoxy-D-glucose. The
2-deoxy-D-glucose model permits us to study the steady
state at higher rates of oxidative phosphorylation and at high
ADPfree levels. 2-Deoxy-D-glucose
6-phosphate, formed by phosphorylation of
2-deoxy-D-glucose, is not further metabolized. ATP
synthesis must increase not only to compensate for the loss of
glycolytically generated ATP, but also to meet the new demand for ATP
to phosphorylate an (essentially) infinite supply of
2-deoxy-D-glucose.
It is noteworthy that PCr levels fall to almost one-third of
initial levels when ATP utilization is stimulated by
2-deoxy-D-glucose but not when ATP utilization is increased
by electrical pacing (Table 1 and Fig. 2B). Because both
oxygen consumption and the frequency of contraction can be increased
during pacing, it is unlikely that sequestration of Pi is
limiting the rate of ATP synthase activity. The increase in
ADPfree cannot be attributed to inhibition of glycolysis,
because PCr levels are not decreased in heart cells when glycolysis is
inhibited by iodoacetate (Fig. 2B). This suggests that with
2-deoxy-D-glucose, ATP synthase activity is not
sufficiently rapid to maintain ATP levels at this rate of ATP
utilization. In contrast, during electrical pacing in either the
absence or presence of 2-deoxy-D-glucose, when
intracellular calcium is markedly increased (9), PCr does
not drop. Here, ATP synthase activity is increased sufficiently to
maintain ATP levels. These results are in accord with suggestions that
calcium may directly increase the activity of ATP synthase
(22).
NADH regeneration.
The rate of delivery of reducing equivalents to NAD+ at the
inner mitochondrial membrane is the sum of mitochondrial and
cytoplasmic dehydrogenase activities (26) (Fig. 5). To
test whether the decrease in NADH observed during pacing is due to a
limitation in the rate of supply of reducing equivalents, we
supplemented the extracellular substrate supply with fatty acids
(acetate or octanoate) or ketoacids (acetoacetate or
-hydroxybutyrate). Substrate transport into the cell is not limited,
because there is a high-affinity monocarboxylate transport carrier
present (16) and because insulin (which increases glucose
entry into the cells) does not affect NADH. With
-hydroxybutyrate as
a substrate, there is an additional NADHm-generating step,
-hydroxybutyrate dehydrogenase, and NADH levels at both rates of
pacing are increased (14, 25). In the presence of a fatty
acid substrate, metabolite flux occurs mainly through the
-oxidation
pathway; pyruvate dehydrogenase is inhibited, and glycolytic flux is
negligible (1).
Contractile Response During Pacing
The most sensitive index of contractile dysfunction in these experiments is the amplitude of contraction of single cells in response to rapid electrical pacing. During rapid pacing with glucose plus fatty acids, the amplitude of contraction was significantly and reversibly decreased (Fig. 1A and Table 1) when NADHm was decreased, even though the rate of oxygen uptake was significantly increased (Table 2) and the PCr/ATP ratios were not detectably affected. The effective work output is diminished even though the rate of oxygen consumption at comparable ADPfree does not differ detectably from that when NADHm levels are high. This may reflect a decreased rate of ATP synthesis per mole of O2 consumed, as a consequence of reduced mitochondrial membrane proton electrochemical potential (
µH+) when
NADH levels fall, because the
µH+ and NADH are in near
equilibrium (6).
Contractile amplitude has been shown to decrease with either decreased intracellular pH or with decreased systolic calcium as a result of direct effects on the contractile mechanism. However, during stimulation intracellular pH does not decrease significantly (24), and intracellular calcium is significantly increased.
A decrease in the strength of contraction is not observed when NADHm is maintained during pacing, either by the enhanced activation of pyruvate dehydrogenase or by a marked increase in ADPfree during 2-deoxy-D-glucose treatment. Thus, when ATP levels and NADHm are nearly constant, the rate of oxidative phosphorylation and work output can be increased by rapid pacing, even at significantly decreased PCr levels, as long as oxygen supply is not limiting.
The following conclusions can be stated in summary:
1) During 4-Hz pacing, the rate of oxygen uptake of isolated
heart cells is increased to meet increased ATP demand without a change
in steady-state high-energy phosphate levels. The amplitude of
contraction during rapid electrical pacing does not become limited as
long as NADHm levels are maintained. 2) With
physiological substrates, NADHm and the contractile
amplitude of contraction are both decreased during pacing. We suggest
that the rate of regeneration of NADHm during rapid pacing
is insufficient to replenish the steady-state levels of
NADHm. With glucose and fatty acid substrates, a
rate-limiting reaction(s) in the glycolytic cycle, the aspartate-malate
shuttle, pyruvate dehydrogenase, the tricarboxylic acid cycle, and/or
-oxidation may limit the supply of carbon substrates to
mitochondrial dehydrogenases. 3) The addition of either of
the substrates that activate pyruvate dehydrogenase or
2- deoxy-D-glucose, which increases ADPfree
fourfold, overrides the rate limitation and maintains both
NADHm and the amplitude of contraction during pacing.
4) When NADH falls during pacing, the increment in the
oxygen consumption rate is not detectably different from that observed
when NADH levels are maintained during pacing, but the effective work
output is decreased, suggesting that the efficiency of oxygen
utilization for contractile work is diminished. This may reflect a
decreased rate of ATP synthesis per mole of O2 consumed, as
a consequence of a reduced
µH+, when NADH
levels fall. 5) The rate of ATP synthesis by ATP synthase is
enhanced to meet the ATP demands of 4-Hz stimulation without a change
in high-energy phosphate levels. With 2-deoxy-D-glucose, however, a metabolic ATP demand of similar magnitude results in a large
decrease in PCr. Because the PCr drop was not observed when glycolysis
was inhibited by iodoacetate, the data are in accord with the
suggestion that increased intracellular calcium levels during
electrical pacing may directly enhance the activity of ATP synthase.
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ACKNOWLEDGEMENTS |
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We gratefully acknowledge Drs. Jonathan B. Wittenberg and Robert K. Josephson for helpful discussions. We thank Laura Cipriani for technical assistance.
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FOOTNOTES |
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The work was supported by National Heart, Lung, and Blood Institute Grants HL-42074 (to R. L. White) and HL-19299 (to B. A. Wittenberg).
Address for reprint requests and other correspondence: B. A. Wittenberg, Dept. of Physiology and Biophysics, Albert Einstein College of Medicine, 1300 Morris Park Ave., Bronx, NY 10461 (Email: bwitten{at}aecom.yu.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 5 May 1999; accepted in final form 5 April 2000.
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