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1 Department of Medicine, University of California San Diego, La Jolla, California 92093; and 2 Department of Radiology, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6021
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ABSTRACT |
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Previously, by measuring
myoglobin-associated PO2
(PMbO2)
during maximal exercise, we have demonstrated that
1) intracellular PO2 is 10-fold less than calculated
mean capillary PO2 and
2) intracellular
PO2 and maximum
O2 uptake
(
O2 max) fall proportionately in hypoxia. To further elucidate this
relationship, five trained subjects performed maximum knee-extensor
exercise under conditions of normoxia (21%
O2), hypoxia (12%
O2), and hyperoxia (100%
O2) in balanced order.
Quadriceps O2 uptake
(
O2) was calculated from
arterial and venous blood O2
concentrations and thermodilution blood flow measurements. Magnetic
resonance spectroscopy was used to determine myoglobin desaturation,
and an O2 half-saturation pressure
of 3.2 Torr was used to calculate
PMbO2
from saturation. Skeletal muscle
O2 max at 12, 21, and
100% O2 was 0.86 ± 0.1, 1.08 ± 0.2, and 1.28 ± 0.2 ml · min
1 · ml
1,
respectively. The 100%
O2 values approached twice that
previously reported in human skeletal muscle.
PMbO2
values were 2.3 ± 0.5, 3.0 ± 0.7, and 4.1 ± 0.7 Torr while
the subjects breathed 12, 21, and 100%
O2, respectively. From 12 to 21%
O2,
O2 and
PMbO2 were again proportionately related. However, 100%
O2 increased
O2 max relatively
less than
PMbO2,
suggesting an approach to maximal mitochondrial capacity with 100%
O2. These data
1) again demonstrate very low
cytoplasmic PO2 at
O2 max,
2) are consistent with supply
limitation of
O2 max
of trained skeletal muscle, even in hyperoxia, and
3) reveal a disproportionate
increase in intracellular PO2 in
hyperoxia, which may be interpreted as evidence that, in trained
skeletal muscle, very high mitochondrial metabolic limits to muscle
O2 are being approached.
blood flow; oxygen transport; myoglobin; magnetic resonance spectroscopy
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INTRODUCTION |
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THE ROLE OF O2 as a
modulator of intracellular bioenergetics is often overlooked, but its
importance has been well documented (10, 11, 31, 32).
Recent skeletal muscle studies have demonstrated that intracellular
PO2 was reduced by systemic hypoxia
(20), and this may explain the reduced maximal mitochondrial respiratory rate [maximum O2
uptake (
O2 max)]
observed in these conditions (19). These data may represent the initial
steep portion of a hyperbolic relationship between in vivo maximal
muscle
O2 max and
intracellular PO2 and
support the theory that
O2 max in
exercise-trained muscle is normally limited by O2 supply. However, measurements
under hyperoxic conditions were not performed. Consequently, the
relationship between these variables, with increased rather than
decreased O2 availability, has not been resolved.
In combination, magnetic resonance spectroscopy to determine myoglobin
(Mb) saturation, an endogenous probe of tissue oxygenation (29), and
the functionally isolated human quadriceps muscle model (2) provide the
opportunity to study the relationships between intracellular and
intravascular events in humans. With the use of these techniques, the
aim of this study was to elucidate the relationship between skeletal
muscle
O2 max
and intracellular PO2 under
conditions of hypoxia (12%
O2), normoxia (21% O2), and, in particular,
hyperoxia (100% O2). We
specifically wished to test the hypothesis that increased intracellular
PO2 would allow an increase in
O2 max but that
diminishing returns would be evident with increasing
O2 availability as cellular
metabolism makes the transition from
O2 supply dependence to
O2 supply independence.
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METHODS |
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Subjects.
Five healthy nonsmoking male competitive bicycle racers
regularly riding 200-400 miles/wk volunteered to participate in
this study, which had been approved by the University of California San
Diego Human Subjects Committee. Health histories and physical examinations were completed, and written informed consent was obtained
according to the University of California San Diego Human Subjects
Committee requirements. The physical characteristics of the subjects
were as follows: age, 25.0 ± 1.9 (SE) yr; height 184.9 ± 2.0 cm; and weight 81.5 ± 3.8 kg. Subjects performed an incremental cycle ergometry test (100-W initial work rate increased by
25 W/min until fatigue), and their
O2 max averaged 4.76 ± 1.2 l/min or 58.4 ± 1.1 ml · min
1 · kg
1
in this test.
Exercise model. Subjects lay supine on a padded bed with the knee-extensor (KE) ergometer placed in front of them (illustrated in Ref. 20). The resistance to KE was provided via a fiberglass bar attached to the crank of the ergometer and to a specially designed shin brace worn by the subject. This ergometer was a prototype, and as such work rates could not be measured in conventional units of work, but work rate was prescribed and measured as a percentage of the maximum resistance (weight in g, resisting the fly-wheel turning) at the end of the preliminary graded maximal test. Sixty dynamic contractions of the KE muscles per minute were performed. This exercise model isolates muscular contraction to the quadriceps femoris muscle group, a muscle group with a roughly equal number of slow-twitch and fast-twitch muscle fibers (17) and a Mb concentration of 4-6 mg/g of muscle (15). Contractions of this muscle group caused the lower part of the leg to extend from ~90 to 170° flexion. The momentum of the flywheel returned the relaxed leg to the start position. Subject reports, force tracings, electromyography, and T2-weighted magnetic resonance imaging (2, 18, 22) support the conclusion that active contractions are limited to the quadriceps muscles during this exercise modality.
Preliminary tests.
Subjects performed two to three training bouts on the dynamic KE
apparatus to ensure familiarity with this exercise modality. The final
two practice periods involved two graded maximal KE exercise tests and
a simulated final experiment adhering to the planned protocol but
without any vascular catheterization. Pulmonary minute ventilation,
O2 uptake
(
O2), and
CO2 production were calculated by
a commercially available software package (Consentius Technologies,
Salt Lake, UT) integrated with a Perkin-Elmer MGA 1100 mass
spectrometer, a gas-mixing chamber, and a Fleisch pneumotachograph #3
(Hans-Rudolph) (22). In hyperoxic conditions, the technical limitations
of measuring ventilatory O2
exchange at very high inspired O2
concentrations ([O2])
precluded collection of pulmonary gas-exchange data (30).
Experimental protocol. Within 1 wk of the preliminary studies, subjects returned in the morning to the laboratory, where two catheters (radial artery and left femoral vein) and a thermocouple (left femoral vein) were emplaced by using a sterile technique as previously reported (16, 22). During exercise, iced saline was infused through the femoral venous catheter at flow rates sufficient to decrease blood temperature at the thermocouple by >1°C. Infusions were continued for 15-20 s until femoral vein temperature had stabilized at its new lower value. Saline injection rate was measured by weight change in a reservoir bag suspended from a force transducer, which was calibrated before and after each experiment. The calculation of blood flow was performed on thermal balance principles as detailed by Andersen and Saltin (3). Blood samples were taken from the arterial and femoral venous catheters to quantify arteriovenous concentration differences.
After the catheterization procedures, the subjects performed three bouts of single-leg KE exercise while breathing 1) room air, 2) 12% O2, and 3) 100% O2. The order of these exercise bouts across subjects was balanced to avoid potential ordering effects. For each exercise bout, the work rate was increased from an unweighted warm-up to the previously determined maximum work rate (WRmax) followed by progressive 5% increases in work rate to ensure that a true maximum was achieved. Data were obtained at each level. Each exercise bout was completed in 8-12 min. The sequence of events at each work rate was as follows: 1) 3-ml blood samples were taken [for measurement of PO2, PCO2, pH, and arterial O2 saturation (SaO2)] and 2) femoral vein blood flow was measured. Duplicate measurements of all variables were then taken.Determination of intracellular
PO2.
Days after completion of the catheter studies, subjects traveled by
airplane from San Diego to Philadelphia, where maximal exercise was
reproduced in a 2.0-T Oxford imaging magnet to allow the determination
of intracellular PO2 by proton
magnetic resonance spectroscopy of Mb (Fig. 1 in Ref. 20). Spectra were collected from the muscle region below the 7-cm-diameter surface coil
that was double-tuned to proton (85.45 MHz) and phosphorus frequencies
(34.59 MHz) and placed over the rectus femoris portion of the
quadriceps group (25), ~20-25 cm proximal to the knee (Fig. 1 in
Ref. 20). For these studies, this "sensitive region" was <100 cm3 of muscle, thus
isolating signal detection predominantly to the rectus femoris (1).
Details of the theory behind
O2-sensitive Mb signals have been
published previously (4, 20). Fractional deoxy-Mb
(fdeoxy-Mb) was determined by
normalizing signal areas to the average signal obtained during
minutes 9 and
10 of cuff ischemia at
suprasystolic pressure (270 mmHg) (Fig.
1B).
Intramuscular O2 depletes within 6-8 min of occlusion (29). Therefore, the plateaued signals obtained during the last 2 min of cuff occlusion represent complete deoxygenation of Mb and are used to estimate total Mb concentration within the muscle (Fig. 1B). In a
separate method development study, contractions performed during
minute 9 of ischemia did not
change the deoxy-Mb signal intensity. As illustrated in Fig. 1, no
other peaks were visible within 10 parts/million of the deoxy-Mb
resonance at any time. Although deoxy-Hb in solution gives rise to
signals in the region of the deoxy-Mb peak (14), it has previously been
shown that the visibility of deoxy-Hb in vivo is greatly reduced
compared with that of deoxy-Mb (28). Here the Hb signals are lost
within the baseline noise (Fig. 1, B
and C) and thus do not affect the
deoxy-Mb measurements.
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f is the fraction of Mb that is oxygenated, f is the fraction
of Mb that is not oxygenated, and
P50 is the
O2 pressure at which 50% of the
Mb-binding sites are bound with
O2. The temperature-dependent Mb
half-saturation pressure (P50)
of 3.2 Torr was used (24).
Blood analyses.
Samples (3-4 ml) of arterial and femoral venous blood were
withdrawn from the catheters anaerobically to measure
PO2, PCO2, pH,
O2 saturation, and Hb
concentration. All measurements were made on an IL 1306 blood-gas
analyzer and IL 482 CO-oximeter (Instrumentation Laboratories,
Lexington, MA). Between each sample, electrodes were calibrated and
demonstrated acceptable reproducibility (SD of repeated determinations:
PO2 and
PCO2, 1.5 Torr; pH 0.003).
[O2] was calculated as
1.39 ml O2 × Hb
concentration (in g/100 ml) × measured
O2 saturation (in %) + 0.003 ml
O2/100 ml blood × measured
PO2 (in Torr). Arteriovenous
[O2] difference was
calculated from the difference in radial artery and femoral venous
[O2]. This difference
was then divided by arterial concentration to give
O2 extraction. Muscle
O2 was calculated as the
product of blood flow and arteriovenous
O2 difference, whereas
O2 delivery was calculated as the
product of blood flow and arterial
[O2].
Thigh volume measurement. With the use of thigh length, circumference, and skinfold measurements, thigh volume was calculated to allow an estimate of quadriceps femoris muscle mass as suggested by Andersen and Saltin (3) and others (13). It should be recognized that this calculation of muscle mass and the consequent normalizing of blood flow and O2 assume that this is the only muscle mass involved in the KE exercise, an assumption recently verified in the KE human exercise model (18).
Muscle O2 transport conductance and mean
capillary PO2 calculations.
With the use of the measured intracellular
PO2 values, muscle
O2 transport conductance
(DO2)
and mean capillary PO2
)
were calculated as described previously (26) but only at 100% of
WRmax. Briefly, a numerical
integration procedure is used to determine the value of
DO2,
assumed constant along the capillary, that produces the measured
femoral venous PO2
(PvO2), given the measured arterial
PO2 (PaO2). As these calculations utilized
the measured Mb-associated PO2
(PMbO2),
they were no longer burdened by the assumption of a low intracellular
PO2 at
WRmax (26). An additional, and at
this time unavoidable, assumption of this calculation is that the only
explanation of O2 remaining in the
femoral venous blood is diffusion limitation of
O2 efflux from the muscle
microcirculation. Perfusion-
O2 heterogeneity
and perfusional or diffusional shunt are considered negligible. To the
extent that these phenomena do not contribute
O2 to femoral venous blood, the
parameter
DO2 is a conductance coefficient that expresses the diffusing capacity that
would be required to achieve the measured
O2 max, assuming only
diffusion limitation. This assumption cannot be avoided presently because of the lack of specific means for detecting
perfusion-
O2 heterogeneity
and shunt.
is the numerical average of all PO2
values computed, equally spaced in time, along the capillary from the
arterial to the venous end. Whereas
is useful for graphical purposes (see
RESULTS), our conclusions come from
statistical comparisons of
DO2
among the three experimental conditions.
Statistical analyses.
At maximal exercise, variables were tested for a significant difference
among the three different inspired
O2 conditions by repeated-measures
ANOVA and a Tukey post hoc analysis. All statistics were computed by
using a commercially available software package (Graph Pad, San Diego,
CA). Variables were considered significantly different when the
P value was
0.05.
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RESULTS |
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Intracellular PO2. Under resting conditions, the proton resonance for Mb lay under the water peak, and the deoxy-Mb was not evident. After inflation of the thigh cuff, proximal to the surface coil, the deoxy-Mb signal increased for the initial 6 min and plateaued for the final 4 min, as previously described (20, 29). On the basis of this plateau in the deoxy-Mb signal amplitude, this signal averaged over minutes 9 and 10 of vascular occlusion was considered to be 100% of the deoxy-Mb signal. Before the exercise protocol was commenced, there was again no discernible deoxy-Mb signal. In normoxic maximal exercise, the deoxy-Mb signal was 55 ± 5% of the maximum deoxy-Mb signal (PMbO2 = 3.0 ± 0.7 Torr). During maximum hypoxic exercise, the deoxy-Mb signal achieved 60 ± 4% of the maximum signal (PMbO2 = 2.3 ± 0.5 Torr). In hyperoxia, the deoxy-Mb signal reached an average of 48 ± 5% of the maximum deoxy-Mb signal (PMbO2 = 4.1 ± 0.7 Torr). Thus in comparison with normoxia, the intracellular PO2 in hypoxia was significantly lower, whereas in hyperoxia it was significantly elevated. Again, as in previous studies (20), the cessation of exercise in each condition produced a rapid reduction in the deoxy-Mb signal and, therefore, a large increase in PMbO2 within 20 s.
Quadriceps
O2 and blood
flow, pulmonary
O2, and work
rate.
Quadriceps
O2 varied with
inspired O2, being lower in
hypoxia than normoxia and greater in hyperoxia than normoxia (Table 1). Because of the experimental design, a
square-wave protocol, the classic criteria used to establish the
attainment of
O2 max, a plateau in
the
O2-work rate
relationship, was not attainable. However, based on data attained in
previous KE studies (19), the competitive nature of the subjects, and
the reproducibility of
WRmax in the preliminary
and experimental study days, it was evident that these subjects were at
or extremely close to
O2 max in each
condition. Maximal muscle blood flow was not different between
hyperoxia and normoxia but was significantly lower in hypoxia (Table
1). Pulmonary
O2 max at
maximal KE rose to only 45% of that previously recorded during maximal
conventional cycle ergometry, indicating that whole body maximal effort
was not invoked. Although hyperoxic pulmonary
O2 max could not be
measured because of the high fraction of inspired
O2
(FIO2), there was no
difference in pulmonary
O2 max observed between
hypoxia and normoxia (Table 1). Work rate reflected the muscle
O2 max measurements, being significantly greater in hyperoxia and significantly lower in
hypoxia than in normoxia [maximum resistance applied to the ergometer = 920 ± 67, 1,160 ± 101, and 1,300 ± 104 g in
hypoxia, normoxia, and hyperoxia, respectively (Table 1)].
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Blood O2 content, O2 delivery, and O2 extraction. At maximal exercise, both arterial O2 content and venous O2 content were significantly reduced in hypoxia and significantly increased in hyperoxia, whereas PvO2 was only statistically reduced in hypoxia (Table 1). O2 delivery reflected the changes in arterial O2 content and blood flow and consequently was significantly reduced in hypoxia and significantly elevated in hyperoxia in comparison with normoxia (Table 1). O2 extraction, at maximal exercise, was not significantly influenced by the inspired [O2].
Hb-O2 saturation, blood
PO2, and
DO2.
At maximal exercise, SaO2 was
significantly reduced in hypoxia and significantly elevated in
hyperoxia (Table 1). As expected, the magnitude of
SaO2 reduction in hypoxia was much
greater than the elevation in hyperoxia because of the 100% ceiling
for Hb-O2 saturation. Venous
O2 saturation was significantly
lower in hypoxia and higher in hyperoxia than in normoxia.
PvO2 in hyperoxia, compared with
normoxia, was elevated but did not achieve statistical significance. With this exception noted, PaO2,
PvO2, and
were significantly decreased in hypoxia and significantly elevated in
hyperoxia in comparison with normoxia (Table 1). Additionally, in
the three FIO2,
PvO2 and
each varied proportionately with
O2 max.
DO2
did not vary with the FIO2
during maximal exercise (Table 1).
Quadriceps femoris weight.
Estimated average quadriceps femoris weight was 2.5 ± 0.16 kg.
Although all data are presented in absolute terms in this manuscript (Table 1), this measurement allows the calculation of mass-specific blood flows, muscle
O2, and
the mitochondrial
O2
estimates illustrated in Fig. 2.
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DISCUSSION |
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In a progression from the work of the past two decades investigating
intracellular PO2 and its
physiological role (5, 6-8, 31, 32), it has recently been
documented that, in exercising skeletal muscle, there is a substantial
vascular-to-intracellular PO2
gradient that may be manipulated by altering the FIO2 (20). The present data
support this observation, with the smallest
PO2 gradient of 26.7 Torr in hypoxia and 32.2 Torr in normoxia and the largest gradient of 36.9 Torr in
hyperoxia. Here it is interesting to note the small downstream effect
of a large increase in PaO2 (from 125 to
618 Torr) in the periphery. This may be explained by the rapid fall in
PaO2 in the first one-tenth of the
capillary due to the large PO2 gradient from blood to cell. As the blood continues to traverse the
capillary with a much reduced PO2,
calculated
is elevated above normoxia but not as substantially as the original increase in PaO2 (a 17% increase in
vs. a 400% increase in PaO2).
Additionally, the significant increase in
O2 max associated with
both an increase in O2 delivery
and the O2 gradient from blood to
cell supports the theory that O2
supply plays an important role in determining
O2 max in trained
skeletal muscle. However, perhaps the most novel observation here is
that, unlike the proportional linear increase in
O2 max with an increase
in
PMbO2
from hypoxia to normoxia (including a hypothetical point at the
origin), hyperoxia increased
O2 max relatively less
than
PMbO2,
suggesting that at this point the capacity to utilize
O2 (maximal mitochondrial capacity) is starting to play a role in this condition (Fig.
2B).
Intracellular PO2 as a
determinant of
O2 max.
The present data reveal a hyperbolic relationship between intracellular
PO2 and
O2 max (Fig.
2B). This suggests that, in
hyperoxia, there is the expected rise in intracellular PO2 (due to increased
),
but this elevated O2 availability is now in excess of mitochondrial capacity (Fig.
2B), thus suggesting that
intracellular PO2 is a determinant of
O2 max in 12, 21, and
100% O2 but that, in the latter
case, the increased intracellular PO2
results in diminishing returns with respect to an increase in
O2 max. These
observations are consistent with cellular metabolism that is moving
toward a transition between O2
supply as a determinant of
O2 max and
O2 demand as a determinant of
O2 max (Fig.
2A). This is illustrated in Fig.
2C, where further increases in
intracellular PO2, beyond those
recorded in hyperoxia, have smaller effects on
O2 max until a plateau is reached and
O2 max
becomes invariant with intracellular
PO2. From this point, intracellular
PO2 is no longer a determinant of
skeletal muscle
O2 max.
This hyperbolic relationship, originating from the origin, between
O2 tension and cellular
respiration is in agreement with data previously described by Wilson et
al. (32) in kidney cells (Fig. 2A).
We again (20), although now with more conclusive data, suggest that
these findings represent the hyperbolic relationship between in vivo
muscle
O2 and intracellular PO2, supporting the concept that
maximal respiratory rate
(
O2 max) is
normally limited by O2 supply. In
fact, we suggest that our data may describe a relationship similar to
those in the study by Wilson et al. (32) by reconciling the hyperbolic expression of O2 utilization in
Fig. 2A with the linear expression of
O2 transport (equation in Fig.
2C), as theoretically illustrated in
Fig. 2C. Thus this equation, when
O2 is plotted against
intracellular PO2, is a straight line
of similar slope
(DO2) in hypoxia, normoxia, and hyperoxia but with a lower and higher intercept in hypoxia and hyperoxia due to the lower and higher
,
respectively, at
O2 max
(Table 1). The intersection of these lines with the
mitochondrial
O2-PO2
hyperbolic relationship shows how the present
PMbO2
data fit with O2 supply dependence
of
O2 max in
intact, normal humans. The conclusion that
DO2
constrains
O2 max is
identical, but the data are essentially independent of the data
relating
O2 max
to
, which is supported by the present and previously published data (Table
1; Fig. 2; Refs. 12, 19, 23).
O2 max fell 35% from
hyperoxia to hypoxia (Table 1; Fig. 2). This raises the issue of the
critical PO2 (PO2 crit),
below which maximal mitochondrial rate is compromised. Previously,
using Mb cryomicrospectroscopy in dog gracilis muscle, Connett et al.
(6-8) were unable to find loci with a
PO2 of <2 Torr, but did find
elevated blood lactate levels in the muscle effluent. As
previous investigations (5) suggested that PO2 crit
may be between 0.1 and 0.5 Torr, Connett et al. (7) concluded that
elevated blood lactate concentrations must be caused by factors other
than simply O2-limited
mitochondrial ATP synthesis rate. We have recently supported this
conclusion by providing in vivo data in humans indicating that average
intracellular PO2 remains above these
values, even at maximal exercise in hypoxia, with rapidly rising
lactate production (21). With the recognition that muscle lactate
production may not be the result of cellular hypoxia (21), the present
data are suggestive of a much higher PO2 crit
in vivo in exercise-trained human skeletal muscle as maximal
mitochondrial metabolism appears to be significantly compromised when
intracellular PO2 falls from a level
around 4 Torr (Table 1, Fig. 2).
Intracellular PO2 vs.
mitochondrial PO2.
The present data once again raise the issues:
1) why at normoxic or
hyperoxic
O2 max
did the
PMbO2
not fall to the level reached in hypoxia, and
2) why in all three conditions was
the Mb desaturation far less at maximum exercise than under conditions of cuff occlusion? A possible explanation may be found by attempting to
reconcile our Mb-associated data with the recent measurements of
cytochrome aa3
oxidation-reduction state in exercising skeletal muscle (9). These data
illustrated a progressive decrease in the concentration of oxidized
cytochrome aa3
(which correlated highly with rising muscle lactate efflux), with
increasing muscle O2 extraction.
At
O2 max, the
magnitude of this redox response was equivalent to that observed at
death or complete anoxia, suggesting that near depletion of
O2 at the mitochondrial level
accompanies maximal exercise intensities (9). These findings are in
stark contrast to our
PMbO2
data, which revealed a constant intracellular PO2 [which did not correlate
with rising muscle lactate efflux (21)] with increasing work
intensity. However, a reconciliation of these data is possible by
approaching them with similar logic employed to explain the observation
that there is a large gradient from blood to cell and
PvO2 (representative of end-capillary
PO2) does not fall to zero even at
O2 max (20, 27). That
is, a finite
DO2
exists, and this may limit O2
transport (26). Thus a mitochondrial
DO2,
which limits O2 conductance from
the cytosol to mitochondria, may explain both the
difference in O2 availability
outside and within the mitochondria as well as the inability for
PMbO2 to fall to a greater extent
before the cessation of high-intensity exercise. In this scenario,
a gradient exists from capillary to cytosol (~30 Torr) and from cytosol to mitochondria (~2 Torr). It should be noted that, although the gradient is vastly different in each case, the physiological significance may well be equal.
Summary.
The ability to study both intravascular and intracellular
O2 availability in combination
with variations in FIO2 during maximal exercise in trained human skeletal muscle has revealed 1) that there is a very low
cytoplasmic PO2 at
O2 max, 2) that variations in systemic
O2 supply alter intracellular
PO2 and these changes are consistent
with the concept that O2 supply limits
O2 max in
trained human skeletal muscle, and
3) a disproportionate increase in
intracellular PO2 in hyperoxia,
suggesting that, in trained skeletal muscle, mitochondrial metabolic
limits to muscle
O2 are being
approached under these conditions.
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ACKNOWLEDGEMENTS |
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We are, as usual, indebted to the subjects for their participation and for the expert technical assistance of Harrieth Wagner, Nick Busan, Jeffrey Struthers, Jennifer Beers, and Theresa Dzendrowskyj.
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FOOTNOTES |
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R. S. Richardson was funded by a fellowship from the Parker B. Francis Fellowship Foundation during this research. This study was concurrently supported by National Heart, Lung, and Blood Institute Grant HL-17731 and Regional Resource Grant RR-02305.
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: R. S. Richardson, Dept. of Medicine, Univ. of California San Diego, La Jolla, CA 92093-0623 (E-mail: rrichardson{at}ucsd.edu).
Received 30 November 1998; accepted in final form 24 March 1999.
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