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J Appl Physiol 90: 1700-1706, 2001;
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Vol. 90, Issue 5, 1700-1706, May 2001

Oxygen uptake kinetics during treadmill running in boys and men

Craig A. Williams1, Helen Carter2, Andrew M. Jones3, and Jonathan H. Doust2

1 University of Brighton, Chelsea School Research Centre, Eastbourne BN20 7SP; 2 University of Surrey Roehampton, London SW15 3SN; and 3 Exercise Physiology Group, Manchester Metropolitan University, Alsager ST7 2HL, United Kingdom


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

The purpose of this study was to compare the kinetics of the oxygen uptake (VO2) response of boys to men during treadmill running using a three-phase exponential modeling procedure. Eight boys (11-12 yr) and eight men (21-36 yr) completed an incremental treadmill test to determine lactate threshold (LT) and maximum VO2. Subsequently, the subjects exercised for 6 min at two different running speeds corresponding to 80% of VO2 at LT (moderate exercise) and 50% of the difference between VO2 at LT and maximum VO2 (heavy exercise). For moderate exercise, the time constant for the primary response was not significantly different between boys [10.2 ± 1.0 (SE) s] and men (14.7 ± 2.8 s). The gain of the primary response was significantly greater in boys than men (239.1 ± 7.5 vs. 167.7 ± 5.4 ml · kg-1 · km-1; P < 0.05). For heavy exercise, the VO2 on-kinetics were significantly faster in boys than men (primary response time constant = 14.9 ± 1.1 vs. 19.0 ± 1.6 s; P < 0.05), and the primary gain was significantly greater in boys than men (209.8 ± 4.3 vs. 167.2 ± 4.6 ml · kg-1 · km-1; P < 0.05). The amplitude of the VO2 slow component was significantly smaller in boys than men (19 ± 19 vs. 289 ± 40 ml/min; P < 0.05). The VO2 responses at the onset of moderate and heavy treadmill exercise are different between boys and men, with a tendency for boys to have faster on-kinetics and a greater initial increase in VO2 for a given increase in running speed.

oxygen uptake slow component; mathematical modeling; children


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

THE RESPONSE OF PULMONARY oxygen uptake (VO2) in the transition from rest to moderate [below lactate threshold (LT)] and heavy exercise (above LT) has been well described in the adult population using cycle ergometry (3-5, 27). In adults, for moderate, constant-load exercise below the LT after the initial cardiodynamic phase, VO2 rises monoexponentially until a steady state is reached, normally within 2-3 min. In adults for constant-load exercise above the LT, a delayed and elevated steady-state VO2 may be attained or the VO2 may rise continuously until maximum VO2 (VO2 max) is reached (15).

Investigations into VO2 kinetics in children are sparse and have predominantly utilized cycle ergometry and rather simplistic techniques to characterize the VO2 response, i.e., monoexponential modeling of the entire response with the VO2 slow component (SC) calculated as the difference in VO2 between 3 and 6 min of exercise. In children, the VO2 on-kinetic response during cycle ergometry has a similar profile to that of adults, although the amplitude of the VO2 SC can be small or nonexistent (9, 23). Studies have shown that children and adolescents have faster VO2 transients at the onset of exercise during moderate (1, 2, 13) and heavy-to-severe exercise (1, 21) compared with adults. In contrast, Sady et al. (30) reported that child and adult VO2 and heart rate kinetics did not differ during moderate exercise. It has also been reported that no age-related differences in moderate-exercise VO2 kinetics exist between prepubertal and 15- to 18-yr-old boys (10). During severe and supramaximal exercise, Hebestreit et al. (16) concluded that the primary VO2 on-transients were similar in 9- to 12-yr-old boys and 19- to 27-yr-old men.

Few studies have examined the VO2 responses of children to treadmill running. In 1938, Robinson (29) showed that children reached 50% of peak VO2 (VO2 peak) during the first 30 s of treadmill running compared with adults who attained just 30% VO2 peak. Similarly, Macek and Vavra (21) reported that boys aged 10-11 yr reached 47% of VO2 peak within the first 30 s of treadmill running at VO2 peak compared with 17-yr-old boys who attained 27% VO2 peak in the same time frame. However, the primary aim of these studies was not to investigate VO2 kinetics but to determine the interrelation of aerobic and anaerobic energy yields. Indeed, no previous studies have applied sophisticated mathematical modeling procedures to describe VO2 kinetics in children. Furthermore, several recent studies have demonstrated qualitative differences in the VO2 kinetic responses to cycle and treadmill ergometry, and it has been suggested that these differences might provide some insight into the control of the primary and SC responses (8, 19).

Therefore, the aim of the present study was to compare the VO2 response of boys to men during treadmill running of moderate- and heavy-exercise intensity using the three-phase exponential modeling procedures of Barstow et al. (5). We hypothesized that the VO2 kinetic responses in children would be faster than in adults during treadmill running because of differences in oxygen transport chain dimensions. We further hypothesized that the oxygen cost of exercise would be higher in children because of a reduced anaerobic energy contribution to the total ATP yield.


    METHODS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

Eight boys [age: 12 ± 0.2 (SD) yr, body mass: 43.5 ± 6.8 kg] and eight men (age: 30 ± 7.3 yr, body mass: 75.0 ± 5.9 kg) volunteered to participate in the study. After the experimental procedures and the associated risks and benefits of participation were explained, written informed consent was obtained from the adult men, the boys' parents, and the boys. The study was approved by the University of Brighton Ethics Committee. Before testing, it was ensured that all subjects were fully familiar with laboratory exercise testing procedures.

The subjects were instructed to arrive at the laboratory in a rested and fully hydrated state, at least 3 h postprandial, and to avoid strenuous exercise in the 48 h preceding a test session. Subjects wore the same running shoes and lightweight running kit for all tests. For each subject, tests took place at the same time of day (±2 h) to minimize the effects of diurnal biological variation on the results.

Experimental design. The subjects were required to visit the laboratory on four occasions. The first visit was used to determine the LT and the VO2 max. During the remaining sessions, the subjects performed two to four repetitions of square-wave transitions from rest to one of two exercise intensities: 80% LT and 50% of the difference in VO2 between LT and VO2 max (50%Delta ). On a given day, a subject would complete two or three transitions of the same exercise intensity. The transitions were separated by 1 h of recovery. The transitions performed on a given day were determined at random, and the study was completed within 2 wk for all subjects.

Procedures. All tests were performed on a motorized treadmill (Woodway, Cardiokinetics, Salford, UK) with the grade set at 1% (18). During the exercise tests, pulmonary gas exchange was determined breath by breath. Subjects breathed through a low-dead-space (90 ml), low-resistance (0.65 mmH2O · l-1 · s at 8 l/s) mouthpiece and turbine assembly. Gases were continuously drawn from the mouthpiece through a 2-m capillary line of small bore (0.5 mm) at a rate of 60 ml/min and analyzed for O2, CO2, and N2 concentrations by a quadrupole mass spectrometer (CaSE QP9000, Gillingham, Kent, UK), which was calibrated before each test using gases of known concentration. Expiratory volumes were determined by using a turbine volume transducer (Interface Associates). The volume and concentration signals were integrated by computer after analog-to-digital conversion, with account taken of the gas transit delay through the capillary. Respiratory gas-exchange variables (VO2, CO2 production, minute ventilation) were calculated and displayed for every breath. Heart rate was recorded telemetrically throughout the exercise tests (Polar Electro Oy, Kempele, Finland).

Subjects performed incremental exercise to volitional exhaustion to determine LT and VO2 max during treadmill running. For the test, the initial running speed was 5.0-6.0 km/h for the boys and 8.0-9.0 km/h for the men. Subjects completed six to eight submaximal stages of 3-min duration, with running speed increased by 1.0 km/h between stages. At the end of each stage, the subjects supported their weight with their hands and moved their feet to the sides of the treadmill belt. Fingertip capillary blood samples (~25 µl) were collected in capillary tubes and subsequently analyzed for lactate concentration using an automated analyzer (YSI 2300, Yellow Springs Instruments). All subjects recommenced running within 15-20 s. When heart rate exceeded 90% of the known or age-predicted maximum heart rate, the running speed was maintained, and the treadmill grade was increased by 1% per minute until the subject reached volitional exhaustion.

Plots of blood lactate against running speed and VO2 were provided to two independent reviewers who determined the LT as the first sudden and sustained increase in blood lactate above resting concentrations. The breath-by-breath gas exchange data collected during the incremental tests were averaged over consecutive 30-s periods. The VO2 max was defined as the average VO2 attained in the last 30 s of the tests. The running speed at VO2 max was estimated by extrapolation of the sub-LT relationship between VO2 and running speed. The running speeds calculated to require 80% of the VO2 at LT (moderate-intensity exercise) and 50%Delta (heavy-intensity exercise) were determined [equal to LT + 0.5 × (VO2 max - LT)].

Subsequently, subjects performed a series of square-wave transitions of 6-min duration at the two exercise intensities on separate days. The exercise protocol began with 2 min of standing rest with feet astride the moving treadmill belt and hands holding the treadmill guard rails. At the start of exercise, the subjects supported their body mass with their hands on the guard rails until their leg speed matched treadmill belt speed, after which they let go of the guard rails and began running. The transition from rest to exercise took 2-4 s. This rapid transition would have had a negligible effect on our kinetic analysis because this was contained within the cardiodynamic phase of the gas-exchange response to exercise. Fingertip capillary blood samples were taken immediately before and after the 6-min exercise period. The difference between the end-exercise lactate and the resting lactate concentration was expressed as a delta value (Delta [lactate]). After a 1-h recovery period, a further blood sample was taken to ensure that blood lactate had returned to resting levels. The subjects then performed an identical square-wave transition. For the moderate-exercise trial (80% LT), the subjects performed a total of four transitions, whereas for the heavy-exercise trials (50%Delta ), the subjects performed two transitions.

Data analysis. For each exercise transition, the breath-by-breath data were interpolated to give second-by-second values. The transitions for each intensity were then time aligned to the start of exercise and averaged to enhance the underlying response characteristics. Nonlinear regression techniques were used to fit the VO2 data after the onset of exercise with an exponential function. An iterative process ensured the sum of squared error was minimized. The mathematical model consisted of two (moderate exercise) or three (heavy exercise) exponential terms, each representing one phase of the response (5). The first exponential term started with the onset of exercise [time (t) 0], whereas the other terms began after independent time


<A><AC>V</AC><AC>˙</AC></A><SC>o</SC><SUB><IT>2</IT></SUB>(<IT>t</IT>)<IT>=</IT><A><AC>V</AC><AC>˙</AC></A><SC>o</SC><SUB><IT>2</IT></SUB>(b)<IT>+A</IT><SUB>c</SUB><IT> ∗ </IT>(<IT>1−e</IT><SUP><IT>−t/&tgr;</IT><SUB>c</SUB></SUP>)<IT>  phase </IT><IT>1:</IT> cardiodynamic component

+A<SUB>p</SUB><IT> ∗ </IT>[<IT>1−e</IT><SUP><IT>−</IT>(<IT>t−</IT>TD<SUB>p</SUB>)<IT>/&tgr;</IT><SUB>p</SUB></SUP>]<IT>  phase </IT><IT>2:</IT> primary component (1)

+A<SUB>s</SUB><IT> ∗ </IT>[<IT>1−e</IT><SUP><IT>−</IT>(<IT>t−</IT>TD<SUB>s</SUB>)<IT>/&tgr;</IT><SUB>s</SUB></SUP>]<IT>  phase </IT><IT>3:</IT> slow component

delays

where VO2(b) is the resting baseline value; Ac, Ap, and As are the asymptotic amplitudes for the three exponential terms: cardiodynamic, primary, and slow components, respectively; tau c, tau p, and tau s are the time constants of the cardiodynamic, primary, and slow components, respectively; and TDp and TDs are the time delays of the primary and slow components, respectively. The phase term was terminated at the start of phase 2 (i.e., at TDp) and assigned the value for that time (A'c)
A′<SUB>c</SUB><IT>=A</IT><SUB>c</SUB><IT> ∗ </IT>(<IT>1−e</IT><SUP><IT>−</IT>TD<SUB>p</SUB><IT>/&tgr;</IT><SUB>c</SUB></SUP>)
The VO2 at the end of phase 1 (A'c) and the amplitude of phase 2 (Ap) were summed to calculate the amplitude at the end of the primary component (Ac+p). The SC at the end of exercise was calculated and is used in preference over the asymptotic value, which can lie beyond physiological limits. The gain of the primary component (Gc+p; Ac+p/Delta running speed expressed relative to body mass) for the two exercise intensities was also calculated.

Statistical analysis. Independent sample t-tests were used to determine the significance of differences between the descriptive data and the VO2 responses of the boys and men. Pearson product-moment coefficients were used to assess the significance of relationships between the SC and the increase in blood lactate. Statistical significance was accepted at P < 0.05. Results are presented as means ± SE.


    RESULTS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

The VO2 max expressed relative to body mass in boys (52.1 ± 1.7 ml · kg-1 · min-1) was not statistically different from that in men (56.6 ± 3.0 ml · kg-1 · min-1; t15 = 1.3, P = 0.22). Although the VO2 at LT was significantly higher in the men than in the boys (42.3 ± 2.5 vs. 36.1 ± 1.4 ml · kg-1 · min-1; t15 = 8.8, P < 0.001), the percentage of VO2 max at which LT occurred was similar (74.8 ± 2.5 vs. 69.2 ± 1.7%; t15 = 1.8, P = 0.09). The protocol was successful in ensuring that the subject groups exercised at the same relative intensities during both moderate (79.5 ± 0.7 and 84.2 ± 1.9% of LT for men and boys, respectively) and heavy exercise (43.3 ± 6.6 and 43.0 ± 4.7%Delta for men and boys, respectively).

Table 1 shows the parameters from the modeling of the VO2 response to both exercise intensities in the boys and men. Heart rate and blood lactate concentrations are also presented. The VO2 data from a typical child and adult are shown in Fig. 1.

                              
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Table 1.   Parameters of the VO2 response during moderate and heavy exercise in boys and men



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Fig. 1.   Oxygen uptake (VO2) response to moderate and heavy exercise in 2 subjects (A: boy; B: man).

As would be expected because of the differences in running speed between the two groups, Ac+p was significantly higher in the adult group for both moderate exercise (2,084.6 ± 138.6 vs. 1,047.3 ± 52.3 ml/min; t15 = 7.0, P < 0.001) and heavy exercise (3,193.6 ± 174 vs. 1,546.5 ± 79.5 ml/min; t15 = 8.6, P < 0.001). However, when both the running speed and the body mass of each subject were taken into account, Gc+p was significantly higher in boys during both moderate exercise (239.1 ± 7.5 vs. 167.7 ± 5.4 ml · kg-1 · km-1; t15 = 3.6, P = 0.003) and heavy exercise (209.8 ± 4.3 vs. 167.2 ± 4.6 ml · kg-1 · km-1; t15 = 5.5, P < 0.001). Although in the adults the Gc+p was similar across the two intensities, in the boys the Gc+p was significantly higher in moderate exercise compared with heavy exercise (t15 = 4.4, P < 0.001). Figure 2 shows the responses in a typical child and a typical adult subject to heavy exercise.


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Fig. 2.   The gain of the primary component during heavy exercise in 2 typical subjects.

The tau p tended to be faster in boys for moderate exercise (10.2 ± 1.0 vs. 14.7 ± 2.8; t15 = 1.5, P = 0.15) and was significantly faster for heavy exercise (14.9 ± 1.1 vs. 19.0 ± 1.6; t15 = 2.2, P = 0.001). There was a tendency for tau p to be increased for heavy compared with moderate exercise in both boys and men, but this was not significant (see Table 1).

The three-phase model describing the VO2 data in the boys' heavy-exercise bouts yielded very small SCs (18.6 ± 18.9 ml/min). In contrast, the adult group exhibited a substantial SC during heavy exercise (288.5 ± 39.7 ml/min). The SC was found to be significantly different between the boys and the men (t15 = 6.1, P < 0.01). The SC contributed ~8% to the total end-exercise VO2 for men compared with only 1% in total for the boys. There was no correlation found between Delta [lactate] and the SC in adults (r = 0.3, P > 0.05) or children (r = 0.2, P > 0.05).

Fitting the boys' heavy exercise data with both a two-phase and a three-phase model for heavy exercise revealed no significant differences in the size of the residuals for each fit (t7 = 1.66, P = 0.14). This would suggest that the simpler two-phase model may be more appropriate where there is a negligible SC, for example, in children (22).


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

To our knowledge, this is the first study that has investigated VO2 kinetics in children and adults during treadmill running. These data have shown that the boys differ from the men in their VO2 response to moderate and heavy exercise during treadmill running. We observed a significantly higher Gc+p in boys for both moderate and heavy exercise. In addition, significantly faster kinetics were observed for boys compared with men for heavy exercise. The results of this study also demonstrate a negligible SC in boys compared with men, supporting previous findings in cycle ergometry (1).

For moderate exercise, the tau p tended to be faster in boys than men, but this difference was not significant. Previous investigators using moderate exercise intensities have also found that the time constants for exercise below LT were faster in younger children (5 boys and 5 girls, 7-10 yr) than teenagers (5 boys and 5 girls, 15-18 yr) but not significantly so (10). Cooper and Barstow (9) used their findings to suggest that the dynamic VO2 response from rest to exercise was independent of size and age during growth. In contrast, Macek and Vavra (21) found that 10- to 11-yr-old boys had a faster increase in exercise VO2 than did 20- to 22-yr-old men. Armon et al. (1) also found significantly faster time constants for work rates at 80% LT in children (12 girls and 10 boys, age 6-12 yr) compared with adults (7 men, age 27-40 yr). In their study, with the use of cycle ergometry at 80% LT, the time constant of VO2 for children and adults was 26 ± 8 and 44 ± 7 s, respectively.

For heavy exercise, tau p was significantly faster for boys than men. Our findings are supportive of those of Armon et al. (1), who found significantly faster time constants during cycling exercise at 25, 50, and 75%Delta in children compared with adults. Armon et al. suggested that the faster kinetics during high-intensity exercise could be linked to a blunted anaerobic response in the initial stages of exercise in children compared with adults. Also, the difference in the time constant has been suggested to be a function of child and adult differences in hemoglobin concentration, capillary density, mitochondrial density, and oxidative enzyme activity. In aerobic training studies in adults, the VO2 kinetics have been shown to be faster after training, partly as a result of increases in mitochondrial density and capillarity (14, 25). In contrast to the reports of faster time constants in children, Hebestreit et al. (16) found no significant differences in tau p for boys and men during cycle exercise at 50, 100, or 130% VO2 peak. However, this study did not objectively determine phase I, and no exercise bouts were conducted at an intensity that induced a SC and allowed ~6 min of exercise. Therefore, the selected exercise duration was too short to fully determine the VO2 kinetic differences between men and boys.

It is possible that differences in the ages of the subjects and methods of data analysis can account for the equivocal research findings relating to the time constants for moderate- and heavy-exercise intensities. In the study of Macek and Vavra (21), a single-exponential equation was used to model the entire VO2 response, whereas in the study by Armon et al. (1), a linear model starting at time 0 was chosen. It has been established that the SC emerges after a discernible time delay and that accurate interpretation of the VO2 response to exercise requires the primary response to be distinguished from the SC response (4).

To account for body mass and running speed differences between the two groups, the Gc+p was calculated. The Gc+p in the boys were found to be significantly higher than in the men during moderate and heavy exercise. These results confirm those reported by Armon et al. (1), who found higher oxygen costs in boys compared with men at all work rates during cycle ergometry. Similarly, in a study by Hebestreit et al. (16), significant differences were found between boys' and men's oxygen cost at 50 and 100% VO2 peak. There are a number of possible mechanisms to explain the higher oxygen cost of exercise in boys than in men. Biomechanical analyses of running have revealed that children, who have a shorter stride length, have to run at a higher stride frequency to achieve the same running speed as adults, thereby increasing the total work output at any speed (11). It has also been suggested that the smaller body mass of children elicits less of an elastic energy return. More recently, it has been shown that the Gc+p during heavy, constant-load exercise (5) and the VO2-work rate slope during ramp exercise (6) are positively related to endurance fitness and percentage of type I fibers, and it could, therefore, be speculated that the differences between boys and men may be related to differences in muscle morphology and/or motor unit recruitment patterns. Differences in muscle metabolism between children and adults, including reduced glycolytic enzyme profiles and lower ratios of glycolytic to oxidative enzymes in the skeletal muscle of children, may enable children to meet a greater proportion of the total energy demand through aerobic pathways. Alternatively, it is possible that the child and adult differences arise because of the limited ability of children to generate ATP through anaerobic metabolism. Children have been found to have a lower anaerobic performance as measured during the Wingate test (2) and other tests of anaerobic capacity (7) compared with adults. Although a number of explanations have been suggested to explain the lower lactate values in children, including an age-dependent rise in the lactate-to-pyruvate ratio (26) and a lower concentration and rate of utilization of glycogen (17, 32), the balance of evidence suggests that the glycolytic activity is not fully developed in childhood. Results from magnetic resonance spectroscopy studies have found higher intramuscular pH and lower Pi-to-phosphocreatine ratios in children compared with adults during exercise (20, 31).

Interestingly, the Gc+p in boys was significantly higher during moderate exercise than during heavy exercise. It is possible that the calculated intensity domain for moderate exercise was not conducive to an economical running style, as the speed was too slow and a jogging style had to be adopted. It is possible that the faster speed during heavy exercise was, therefore, more economical and thus resulted in a lower Gc+p.

Only two studies that have investigated the VO2 SC in children could be found (1, 23). Armon et al. (1) observed that, at the 50%Delta work intensity, only 11 of the 22 children demonstrated a SC. The results from the present study confirm the lack of a SC during treadmill running in boys, as previously found in cycling. The SC contributed a greater amount to the end-exercise VO2 in men than boys. In contrast, Obert et al. (23) found a SC during high-intensity cycle exercise (90% maximal aerobic power) with 12 well-trained and 11 untrained prepubertal boys.

In adults, the SC was first thought to be associated with lactacidemia; however, it is generally accepted that blood lactate is not a primary determinant of the SC (4, 15, 27). In this study, the lack of a significant relationship between the SC and blood lactate values in heavy exercise suggests a poor relationship between the two variables. No correlation (r = 0.44, P > 0.05) between the SC and Delta [lactate] was found in the study by Obert et al. (23). During heavy exercise, the Delta [lactate] was significantly less in children than in the adults, amounting to an increase of only 0.6 mM. However, this was not unexpected given that the blood lactate concentration at LT is the same in both populations but lower in children after maximal exercise (12).

A current focus for research into the mechanisms responsible for the SC is the recruitment of low-efficiency type II muscle fibers during heavy exercise (5). Poole et al. (28) have demonstrated that the majority of the SC resides within the exercising muscle. In one of the few muscle biopsy studies in children, Oertel (24) reported that the proportion of type I fibers increased from 40% at birth to ~60% by 2 yr of age. From 2 yr onward, the relative proportions of type I and II fibers remained constant. Therefore, the available evidence suggests that maturation-related changes in muscle fiber-type distribution cannot explain differences in the amplitude of the SC between children and adults. Several recent studies have suggested that the amplitude of the VO2 SC may be reduced in running compared with cycling exercise (8, 19). The mechanisms that may be responsible for these differences include a greater involvement of the upper body during cycling, a greater intramuscular tension development during cycling, and a greater ability to store and subsequently release elastic energy during the stretch-shortening activity of running (8, 19).

In conclusion, the VO2 kinetics in treadmill running during moderate- and heavy-intensity exercise were found to be different in boys and men, with the boys exhibiting faster on-kinetics, greater primary increases in VO2, and a reduced SC. We suggest that these differences may arise because of children's limited ability to generate ATP anaerobically, coupled with their greater ability to meet the energetic demands of exercise through aerobic pathways. Our results using treadmill running add to the limited number of studies defining children's VO2 kinetic responses to exercise. More studies are required using a wider range of exercise-intensity domains, different test modalities, and assessment of maturity differences to define children's VO2 kinetic responses to exercise more fully.


    FOOTNOTES

Address for reprint requests and other correspondence: C. A. Williams, Children's Health and Exercise Research Centre, School of Postgraduate Medicine and Health Sciences, Univ. of Exeter, Exeter EX1 2LU, UK (E-mail: c.a.williams{at}exeter.ac.uk).

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 26 June 2000; accepted in final form 1 December 2000.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

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11.   Ebbeling, CJ, Hamill J, Freedson PS, and Rowland TW. An examination of efficiency during walking in children and adults. Ped Exerc Sci 4: 36-49, 1992.

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J APPL PHYSIOL 90(5):1700-1706
8750-7587/01 $5.00 Copyright © 2001 the American Physiological Society



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