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Department of Internal Medicine, Washington University School of Medicine, St. Louis, Missouri 63110
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ABSTRACT |
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We evaluated plasma fatty acid
availability and plasma and whole body fatty acid oxidation during
exercise in five lean and five abdominally obese women (body mass
index = 21 ± 1 vs. 38 ± 1 kg/m2), who were
matched on aerobic fitness, to test the hypothesis that obesity alters
the relative contribution of plasma and nonplasma fatty acids to total
energy production during exercise. Subjects exercised on a
recumbent cycle ergometer for 90 min at 54% of their peak oxygen
consumption. Stable isotope tracer methods
([13C]palmitate) were used to measure fatty acid rate of
appearance in plasma and the rate of plasma fatty acid oxidation, and
indirect calorimetry was used to measure whole body substrate
oxidation. During exercise, palmitate rate of appearance increased
progressively and was similar in obese and lean groups between 60 and
90 min of exercise [3.9 ± 0.4 vs. 4.0 ± 0.3 µmol · kg fat free mass
(FFM)
1 · min
1]. The rate of plasma
fatty acid oxidation was also similar in obese and lean subjects
(12.8 ± 1.7 vs. 14.5 ± 1.8 µmol · kg
FFM
1 · min
1; P = not
significant). However, whole body fatty acid oxidation during exercise
was 25% greater in obese than in lean subjects (21.9 ± 1.2 vs.
17.5 ± 1.6 µmol · kg
FFM
1 · min
1; P < 0.05).
These results demonstrate that, although plasma fatty acid availability
and oxidation are similar during exercise in lean and obese women,
women with abdominal obesity use more fat as a fuel by oxidizing more
nonplasma fatty acids.
lipolysis; fat oxidation; intramuscular triglyceride; stable isotopes
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INTRODUCTION |
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EXERCISE IS A KEY COMPONENT of the clinical management of obesity because it is associated with long-term maintenance of weight loss (20). In addition, aerobic fitness itself is associated with important health benefits that are independent of weight loss; the incidence of diabetes (45) and cardiovascular mortality (25) are much lower in obese persons who are fit than in those who are unfit. Therefore, endurance exercise may be particularly beneficial for persons with abdominal obesity because of their increased risk of diabetes and cardiovascular disease (22).
Endurance exercise stimulates the mobilization and oxidation of fatty acids from endogenous triglycerides (36). During exercise, adipose tissue releases fatty acids into plasma, which are delivered to skeletal muscle for fuel (37). In addition, lipolysis of intramuscular triglycerides (IMTG) can release fatty acids directly into the cytosol of working muscles (3). In contrast, plasma triglycerides are not normally an important fuel during exercise performed during postabsorptive conditions (30). Persons with abdominal obesity have excessive stores of the major lipid fuels used during exercise (i.e., adipose tissue and IMTG) (32). However, the relative contribution of these sources of fatty acids to energy production during exercise in obese persons is not clear.
The release of adipose tissue-derived fatty acids into plasma during moderate-intensity endurance exercise is similar in lean and abdominally obese subjects (19). The results from several studies show that whole body fat oxidation during exercise is the same or greater in abdominally obese than in lean subjects (1, 6, 19). In contrast, it has been found that basal plasma fatty acid uptake and oxidation are impaired in women with abdominal obesity when direct measurements were made across muscle tissue (7). These data suggest that, although fat oxidation during exercise may be the same or greater in abdominally obese than in lean subjects, the source of triglyceride may differ between groups.
The overall purpose of the present study was to evaluate the hypothesis that women with abdominal obesity use more fatty acids derived from IMTG and less fatty acids derived from adipose tissue triglycerides as fuel during endurance exercise compared with lean women. Specifically, we evaluated 1) whether lean and abdominally obese women differ in their use of plasma fatty acids (presumably derived from adipose tissue triglycerides) and nonplasma fatty acids (presumably derived from IMTG) as a fuel during exercise and 2) whether the ability to oxidize plasma fatty acids during exercise is impaired in women with abdominal obesity. Stable isotope tracer methods were used to measure whole body lipolytic activity, plasma fatty acid availability, and plasma fatty acid oxidation, and indirect calorimetry was used to measure whole body fat oxidation.
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METHODS |
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Subjects.
Five class II obese women [body mass index (BMI) = 35-39.9
kg/m2; >40% body weight as fat] with abdominal obesity
(waist-to-hip ratio >0.85; waist circumference >100 cm) and five lean
women (BMI
23 kg/m2; <30% body wt as fat)
participated in this study (Table 1). Lean and obese subjects were matched on peak oxygen consumption (
O2 peak) relative to fat-free mass
(FFM) because the oxidative capacity of exercising muscle can affect
the metabolic response to exercise (18, 27, 33). All
subjects were premenopausal and had no evidence of medical illness
after a comprehensive examination, which included a history and
physical examination, blood tests, and an electrocardiogram. Obese
subjects had normal glucose tolerance based on a 2-h oral glucose
tolerance test. No subjects were taking any medications, and all were
weight stable for at least 2 mo before the study, which was performed
within the first 2 wk of the follicular phase of their menstrual cycle.
Written, informed consent was obtained before participation in the
study, which was approved by the Human Studies Committee and the
General Clinical Research Center (GCRC) Scientific Advisory Committee
of Washington University School of Medicine.
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Preliminary testing.
Fat mass and FFM were determined by dual-energy X-ray
absorptiometry (Hologic QDR 1000/W, Waltham, MA).
O2 peak was measured by using a
Vmax 29 metabolic cart (SensorMedics, Yorba Linda, CA) during upright cycle ergometer exercise to assess
cardiorespiratory fitness. The protocol consisted of a 4-min warm-up,
after which the work rate was progressively increased every minute
until at least two of the following three criteria were met:
1) a leveling off of the rate of oxygen consumption
(
O2), despite increases in workload;
2) respiratory exchange ratio
1.15; and
3) attainment of age-predicted maximal heart rate.
Experimental protocol.
Subjects were admitted to the GCRC at Washington University School of
Medicine on two occasions separated by a period of 1 wk. At 1900 on the
day of admission, subjects ingested a standard meal (60% carbohydrate,
25% fat, and 15% protein) containing 12 kcal/kg body wt for lean
subjects and 12 kcal/kg adjusted body wt for obese subjects {adjusted
body wt = ideal body wt + [(actual body wt
ideal
body wt) × 0.25]}. Subjects were randomized to perform an
exercise-isotope infusion study or an exercise study without tracer
infusion (i.e., "background trial") the next morning. One week
later, subjects were readmitted to the GCRC to perform the other study
(either exercise-isotope infusion or the background trial).
75 min), a primed (1.8 µmol/kg), constant (0.12 µmol · kg
1 · min
1)
infusion of [1,1,2,3,3-2H]glycerol (99% atom percent
excess; Cambridge Isotopes, Andover, MA) was started and continued
throughout the study. Fifteen minutes later, a priming dose (1.05 µmol/kg) of [1-13C]bicarbonate was given, and a
constant infusion (0.035 µmol · kg
1 · min
1) of
[1-13C]palmitate (98% atom percent excess; Cambridge
Isotopes) bound to albumin (Centeon, LLC, Kankakee, IL) was started and
continued throughout the study.
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15,
10,
5,
and 0 min to determine basal plasma substrate and hormone concentrations and substrate kinetics. After the last basal samples were collected, subjects exercised for 90 min on a recumbent cycle ergometer at ~50% of their
O2 peak.
Although
O2 peak was measured in the
upright position, the study protocol exercise bout was performed in the
recumbent position to enhance comfort and compliance in our obese
subjects.
O2 peak was determined in the
upright position because of concern that lack of familiarity with
recumbent cycling, especially at high work rates, might cause some
subjects to terminate the test before actually reaching their true
O2 peak. It is possible that
O2 peak is not identical in the upright
and recumbent positions because of slight differences in muscle mass
recruitment; however, the difference in
O2 peak is very small
(46). Moreover, lean and obese subjects exercised at the
same relative intensity (i.e., 50% of their upright
O2 peak) because relative exercise
intensity affects the contribution of fat and carbohydrate to total
energy production (36).
Blood samples were obtained every 10 min during exercise to determine
substrate kinetics, and heart rate was measured every 10 min by using a
telemetry heart rate monitor (Cardiochamp Sensor, Dynamics, Freemont,
CA).
O2 and carbon dioxide production
(
CO2) rates were measured from 0 to 5, 25 to 35, 60 to 68, 70 to 78, and 80 to 90 min of exercise by using a
Vmax 29 metabolic cart (SensorMedics) to ensure
that the subjects were exercising at 50% of their
O2 peak and to calculate whole body fat and carbohydrate oxidation rates. Evacuated test tubes were used to
collect expired breath samples in quadruplicate from a mixing chamber
at 60, 70, 80, and 90 min of exercise to determine plasma fatty acid
oxidation rate. Plasma fatty acid oxidation was only measured during
the last 30 min of exercise to ensure the presence of a plateau in
breath 13CO2 enrichment.
The background trial was performed on a separate occasion to account
for the increase in background breath 13CO2
that is produced during exercise because of increased oxidation of
endogenous 13C-enriched carbohydrate. After an overnight
fast, subjects exercised on a recumbent cycle ergometer for 90 min at
~50% of their
O2 peak (i.e.,
identical exercise protocol in both exercise studies). We collected
expired air samples at 60, 70, 80, and 90 min of exercise and measured
O2 and
CO2 from 0 to 5, 25 to 35, 60 to 68, 70 to 78, and 80 to 90 min of exercise.
Analytic procedures. Plasma insulin concentration was measured by radioimmunoassay (15). Plasma catecholamine concentrations were determined by a radioenzymatic method (40). Plasma glycerol concentration was determined by gas chromatography-mass spectrometry after [2-13C]glycerol was added to plasma as an internal standard (48). Plasma fatty acid concentrations were quantified by gas chromatography after heptadecanoic acid was added to plasma as an internal standard (48).
The tracer-to-tracee ratio (TTR) for plasma glycerol and palmitate was determined by gas chromatography-mass spectrometry by using an MSD 5971 system (Hewlett-Packard, Palo Alto, CA) with capillary column (16, 31). Acetone was used to precipitate plasma proteins, and hexane was used to extract plasma lipids. The aqueous phase was dried by Speed-Vac centrifugation (Savant Instruments, Farmingdale, NY). Heptafluorobutyric anhydride was used to form a heptafluorobutyric derivative of glycerol, and ions were produced by electron impact ionization. Glycerol TTR was determined by selectively monitoring ions at mass-to-charge ratios 253, 254, and 257. Free fatty acids were isolated from plasma and converted to their methyl esters with iodomethane. Ions at mass-to-charge ratios 270.2 and 271.2, produced by electron impact ionization, were selectively monitored. The ratio of 13CO2 to 12CO2 in expired breath was determined by isotope ratio mass spectrometry (Sira II, dual inlet-triple collector, VG Fisons, Cheshire, UK). Briefly, CO2 was isolated from the breath sample by passage through a series of traps to remove water vapor, nitrogen, and oxygen. The purified sample was then ionized by electron bombardment and repelled past a series of focusing lenses toward the detector. A magnet deflected the ions according to their masses, allowing for the measurement of the ratio of masses corresponding to 13C and 12C.Calculations. Steady-state substrate concentrations and TTRs were achieved during basal conditions; thus basal glycerol and palmitate rates of appearance (Ra) in plasma were calculated by using Steele's equation for steady-state conditions (44). During exercise, the non-steady-state equation of Steele (44) was used to calculate glycerol Ra, palmitate Ra, and palmitate rate of disappearance (Rd). However, during the last 30 min of exercise, the change in TTR between blood samples was very small so that Steele's equation for steady-state and non-steady-state conditions generated similar Ra and Rd values. The effective volume of distribution was estimated to be 300 ml/kg FFM for glycerol and 60 ml/kg FFM for palmitate. However, even a 50% error in estimated effective volume of distribution would cause a <5% change in calculated Ra because of the minimal changes in TTR between samples.
The oxidation rate of plasma fatty acids was calculated as
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O2 and
CO2 values (13) and an
estimate of nitrogen excretion, based on data from a previous study (80 µg · kg
1 · min
1 in lean
subjects and 80 µg · kg adjusted body
wt
1 · min
1 in obese subjects)
(4). The oxidation rate of nonplasma fatty acids was
calculated as the difference between the rates of whole body fatty acid
oxidation and plasma fatty acid oxidation.
The tracer technique that we used to determine plasma fatty acid
oxidation rate requires reaching a plateau in
13CO2 enrichment in expired breath. Therefore,
we limited our assessment of plasma fatty acid oxidation to the 60- to
90-min period of exercise to ensure that a plateau in breath tracer
enrichment was achieved. Breath 13CO2
enrichment measurements in the first 60 min of exercise were likely to
have been below plateau values, which would cause an underestimation of
the rate of plasma fatty acid oxidation and an overestimation of the
rate of nonplasma fatty acid oxidation.
Statistical analysis.
A power analysis, based on data reported by Martin et al.
(27), suggested that five subjects would be needed to
detect a 30% difference in whole body and nonplasma fatty acid
oxidation rates between lean and obese groups with an
value of 0.05 and a power of 0.80. A two-way ANOVA (subject phenotype × time)
with repeated measures was used to test the significance of differences in glycerol Ra and palmitate Ra between lean
and obese subjects throughout exercise. Significant F ratios
from ANOVA were followed by the appropriate comparisons by using
Tukey's post hoc analyses. Student's t-test for
independent samples was used to test the significance of differences
between lean and obese subjects for mean whole body, plasma, and
nonplasma fatty acid oxidation rates during 60-90 min of exercise
and mean plasma hormone concentrations at rest and during exercise. A
value of P
0.05 was considered to be statistically
significant. All data are expressed as means ±SE.
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RESULTS |
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During exercise, lean and obese subjects cycled at the same
relative (53 ±3 vs. 54 ±2%
O2 peak)
and similar absolute intensity (50 ±4 vs. 56 ±6 W) (both
P = not significant). During the final 30 min of
exercise, the average rate of
O2
(24.5 ± 1.5 and 24.4 ± 2.3 ml · kg
FFM
1 · min
1) and the average heart
rate response (132 ± 6 and 131 ± 9 beats/min) were also the
same in lean and obese groups, respectively.
Plasma hormone concentrations.
Exercise increased plasma epinephrine and norepinephrine concentrations
in both lean and obese subjects (P < 0.05), but there were no differences in plasma catecholamine concentrations between groups, either at rest or during exercise (Table
2). Basal plasma insulin concentrations
were more than twice as great in obese than in lean subjects
(P < 0.05) (Table 2). Although plasma insulin concentration decreased in both groups during exercise
(P < 0.05), plasma insulin remained higher in obese
compared with lean subjects (P < 0.05).
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Glycerol and fatty acid kinetics.
Basal glycerol Ra and palmitate Ra tended to be
greater in obese compared with lean subjects (4.1 ± 0.5 vs.
3.3 ± 0.4 µmol glycerol · kg
FFM
1 · min
1 and 1.9 ± 0.3 vs.
1.5 ± 0.2 µmol palmitate · kg
FFM
1 · min
1), but the differences
were not statistically significant, which may reflect a type II
statistical error because of small sample size. During exercise,
glycerol Ra and palmitate Ra increased progressively in both groups (P < 0.05) (Fig.
2), and values were similar in lean and
obese subjects throughout the exercise bout. Palmitate Rd
also increased progressively during exercise (P < 0.05), and values were similar in both groups. Mean palmitate Rd between 60 and 90 min of exercise was 3.7 ± 0.2 and 3.4 ± 0.4 µmol · kg
FFM
1 · min
1 for lean and obese
subjects, respectively. The percentage of palmitate released into
plasma that was taken up by peripheral tissues was also similar in lean
and obese subjects (93 ± 3 vs. 88 ± 2%).
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Plasma fatty acid concentration. After a transient decline during the first 10 min of exercise, plasma fatty acid concentration increased throughout the exercise bout in all subjects, and there was no difference between the groups. The mean plasma fatty acid concentration during the final 30 min of exercise was 0.75 ± 0.09 and 0.69 ± 0.04 mmol/l for lean and obese subjects, respectively.
Fatty acid oxidation.
Mean whole body fatty acid oxidation was ~25% greater in obese
compared with lean subjects (21.9 ± 1.2 vs. 17.5 ± 1.6 µmol · kg FFM
1 · min
1;
P < 0.05) (Fig.
3A). However, the rate of
plasma fatty acid oxidation during exercise was similar between the
groups (12.8 ± 1.7 and 14.5 ± 1.8 µmol · kg
FFM
1 · min
1 for obese and lean
subjects, respectively; P = not significant). Therefore, the increase in total fat oxidation in the obese subjects was due to an increase in the oxidation of nonplasma fatty acids (9.1 ± 1.4 and 3.0 ± 0.4 µmol · kg
FFM
1 · min
1 for obese and lean
subjects, respectively; P < 0.05). The relative contribution of carbohydrate to total energy production during exercise
was lower in obese than lean subjects (P < 0.05) (Fig. 3B).
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DISCUSSION |
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The presence of excess abdominal adipose tissue and muscle tissue triglycerides in persons with abdominal obesity is associated with a constellation of metabolic abnormalities (insulin resistance, diabetes, dyslipidemia, and hypertension) known as the metabolic syndrome (34). Therefore, endurance exercise, which stimulates the mobilization and oxidation of triglycerides located in adipose tissue and skeletal muscle, may be particularly useful in the treatment of persons with abdominal obesity. The results of the present study demonstrate that women with abdominal obesity oxidize more fat and less carbohydrate during moderate-intensity endurance exercise than do lean women. Moreover, the increase in fat oxidation was due to an increase in the oxidation of nonplasma fatty acids, presumably fatty acids derived from lipolysis of IMTG. Whole body lipolytic activity (measured as either glycerol Ra or palmitate Ra) and plasma fatty acid oxidation rates during exercise were similar in lean and obese groups. Therefore, the alterations in substrate use observed during exercise in our obese women reflect alterations in the metabolism of energy substrates stored in muscle rather than substrate availability and uptake from plasma.
The availability of plasma fatty acids for oxidation by skeletal muscle depends on lipolysis of adipose tissue triglycerides and subsequent fatty acid release into the circulation. Alterations in plasma fatty acid availability can affect substrate use during exercise (17, 29, 37). Our data and those reported by Kanaley et al. (19) demonstrate that whole body lipolytic rates and fatty acid availability during exercise are the same in lean and abdominally obese subjects. Furthermore, we found that plasma fatty acid tissue uptake and oxidation were similar in both lean and abdominally obese women. This evidence suggests that impairment of plasma fatty acid uptake and oxidation previously found in persons with abdominal obesity during resting conditions (7) is not present during exercise. Therefore, alterations in availability, uptake, and oxidation of plasma fatty acids during exercise cannot account for the difference in total fat oxidation that we observed between our lean and obese groups.
IMTGs are the most likely source of the additional fatty acids oxidized during exercise in our obese subjects. Although lipolysis of IMTG should release additional glycerol into the systemic circulation, we were unable to detect statistically significant differences in glycerol Ra between our lean and obese groups, which may reflect a type II statistical error. It is likely that our study sample size, the relatively small amount of additional glycerol released during IMTG lipolysis in our obese subjects, and skeletal muscle metabolism of intramuscular glycerol (23) made it difficult for our tracer methods to detect differences in systemic glycerol Ra between groups. It is unlikely that fatty acids derived from circulating lipoproteins were an important source of fuel, because plasma triglycerides contribute little to total energy production during exercise (30). Moreover, an estimate of maximal plasma triglyceride utilization in our obese subjects [calculated using the postabsorptive plasma triglyceride concentration of our obese subjects (94 ± 15 mg/dl), a theoretical plasma triglyceride turnover rate (0.2 pools/h) (49), and assuming that all fatty acids released from plasma triglycerides were oxidized] suggests that plasma triglycerides could not account for >5% of nonplasma fatty acids oxidized in our obese subjects.
The use of IMTG during endurance exercise is controversial. Studies that measured IMTG concentration in muscle biopsies obtained before and after exercise have found that IMTG concentration increased (2), decreased (3, 5, 18), or remained the same (21, 43, 47). These differences may be related to differences in exercise protocols between studies and the variability in the assay used to measure IMTG in muscle biopsies (47). In addition, it is likely that IMTG synthesis occurs during exercise (9), which would confound the interpretation of net concentration changes. Therefore, the indirect calculation of nonplasma fatty acid oxidation (i.e., difference between total and plasma fatty acid oxidation) may provide a more reliable measure of IMTG use during exercise. Studies that have used this calculation to assess IMTG oxidation have found that as much as two-thirds of fatty acids oxidized during moderate-intensity endurance exercise are derived from IMTG (27, 33). An increase in the use of IMTG during exercise in persons with abdominal obesity may provide metabolic and clinical benefits not previously realized. The concentration of IMTG is directly correlated with insulin-resistant glucose metabolism in rodents (28) and humans (14). Therefore, an exercise-induced decrease in IMTG content in obese persons may contribute to enhanced insulin sensitivity associated with exercise (39) and decreased risk of diabetes associated with aerobic fitness (45).
Although persons with abdominal obesity have an increased amount of IMTG (32), IMTG concentration is not correlated with percent body fat or BMI (32). Therefore, high concentrations of IMTG may be a specific characteristic of abdominal obesity rather than obesity per se. The mechanism responsible for increased IMTG in persons with abdominal obesity is not known but may be related to alterations in regulating lipolysis of adipose tissue triglycerides. Basal postabsorptive lipolytic rates (16, 26) and postprandial fatty acid availability (38) are greater in abdominally obese than lean persons and are likely to enhance skeletal muscle fatty acid uptake and IMTG synthesis (10) in obese persons. Therefore, a chronic increase in fatty acid availability to muscle and a high rate of muscle fatty acid uptake relative to fat oxidation may increase intramuscular fatty acid esterification and IMTG content.
The factors that regulate lipolysis and oxidation of IMTG in human
skeletal muscle are not clear. Hormone-sensitive lipase (HSL), the
enzyme responsible for triglyceride hydrolysis in adipose tissue, has
been found in isolated skeletal muscle (24). Therefore, catecholamines, which increase HSL activity, may also be important in
stimulating IMTG lipolysis. In fact, it has been shown that
-adrenergic-receptor stimulation by epinephrine stimulates muscle HSL activity (24), and IMTG use during exercise is
inhibited by
2-receptor blockade (5).
However, other factors may also be important regulators of IMTG
lipolysis. Muscle contraction increases HSL activity by an unknown
mechanism that is independent of
-adrenergic-receptor action
(24). In addition, IMTG utilization during exercise may be
regulated by substrate availability. It has been found that the use of
IMTG during exercise is directly proportional to IMTG concentration
(12). Moreover, there are also interactions between the
use of plasma fatty acids, intramuscular glycogen, and IMTG as fuels
during exercise.
Several studies have demonstrated the reciprocal regulation between fat and carbohydrate metabolism during exercise (11, 17, 29, 37). For example, increasing muscle glycolytic flux during exercise either by glucose infusion or by increasing exercise intensity decreases fatty acid oxidation (8, 42). The resultant accumulation of intracellular fatty acids may inhibit IMTG lipolysis and oxidation (10). Conversely, increasing the availability of fatty acids to muscle by intravenous lipid infusion increases fat oxidation and reduce muscle glycogen oxidation during exercise (17, 29, 37). The mechanism responsible for this relationship may be that increased muscle fatty acid availability and oxidation reduces intracellular concentrations of inorganic phosphate and adenosine monophosphate (11), which serve as substrate and activator of glycogen phosphorylase, respectively (35). Therefore, an increase in cytosolic fatty acids derived from IMTG lipolysis should inhibit muscle glycogen metabolism, which could explain the lower carbohydrate oxidation rate observed in our obese compared with our lean subjects.
In summary, we found that total fat oxidation during moderate-intensity endurance exercise was greater in abdominally obese than in lean women because of an increased oxidation of nonplasma fatty acids, presumably derived from IMTG. Rates of fatty acid appearance in plasma, plasma fatty acid tissue uptake, and plasma fatty acid oxidation during exercise were similar in lean and obese women. These results suggest that endurance exercise may be particularly beneficial in persons with abdominal obesity by decreasing IMTG content.
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ACKNOWLEDGEMENTS |
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We thank Renata Braudy and the nursing staff of the GCRC for help in performing the experimental protocols, Dr. Guohong Zhao and Weqing Feng for technical assistance, and the study subjects for participating in this study.
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FOOTNOTES |
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This study was supported by the National Institutes of Health Grants DK-37948 and RR-00036 (General Clinical Research Center), RR-00954 (Mass Spectrometry Resource), AG-13629 (Claude Pepper Older American Independence Center), AG-00078 (Institutional National Research Service Award), and DK-56341 (Clinical Nutrition Research Unit).
Address for reprint requests and other correspondence: S. Klein, Washington Univ. School of Medicine, 660 S. Euclid Ave., Box 8031, St. Louis, MO 63110-1093.
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
Received 11 April 2000; accepted in final form 10 July 2000.
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