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J Appl Physiol 91: 218-224, 2001;
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Vol. 91, Issue 1, 218-224, July 2001

Validity of inspiratory and expiratory methods of measuring gas exchange with a computerized system

David R. Bassett Jr., Edward T. Howley, Dixie L. Thompson, George A. King, Scott J. Strath, James E. McLaughlin, and Brian B. Parr

Department of Exercise Science and Sport Management, University of Tennessee, Knoxville, Tennessee 37996-2700


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

The accuracy of a computerized metabolic system, using inspiratory and expiratory methods of measuring ventilation, was assessed in eight male subjects. Gas exchange was measured at rest and during five stages on a cycle ergometer. Pneumotachometers were placed on the inspired and expired side to measure inspired (VI) and expired ventilation (VE). The devices were connected to two systems sampling expired O2 and CO2 from a single mixing chamber. Simultaneously, the criterion (Douglas bag, or DB) method assessed VE and fractions of O2 and CO2 in expired gas (FEO2 and FECO2) for subsequent calculation of O2 uptake (VO2), CO2 production (VCO2), and respiratory exchange ratio. Both systems accurately measured metabolic variables over a wide range of intensities. Though differences were found between the DB and computerized systems for FEO2 (both inspired and expired systems), FECO2 (expired system only), and VO2 (inspired system only), the differences were extremely small (FEO2 = 0.0004, FECO2 = -0.0003, VO2 = -0.018 l/min). Thus a computerized system, using inspiratory or expiratory configurations, permits extremely precise measurements to be made in a less time-consuming manner than the DB technique.

Douglas bag; oxygen uptake; carbon dioxide production; metabolism; pneumotachometer


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

THE MEASUREMENT OF O2 consumption (VO2) by open-circuit spirometry is one of the fundamental measures in the field of exercise physiology. Historically, gas exchange was measured by the Douglas bag method. This involved the collection of exhaled air in large, impermeable canvas bags and subsequent measurement of gas fractions and expired volumes (4). The Douglas bag method has served as the "gold standard" for gas exchange measurements for over a century.

In the 1960s, with the development of the Parkinson-Cowan dry gas meter, the measurement of inspired minute ventilation (VI) became common. Expired ventilation (VE) values were calculated using the Haldane transformation of the Fick equation (5, 6, 13). In the semiautomated method described by Wilmore and Costill (20), the measurement of FEO2 and FECO2 in expired air was achieved by drawing representative gas samples from a mixing chamber into 2-liter latex bags for subsequent analysis. In this application, the expired gas was collected over the same time period as VI was measured to ensure matching of gas fractions and the ventilatory volumes. A later method involved pumping a continuous stream of exhaled air from a mixing chamber directly into electronic gas analyzers (1). The voltage output of the gas analyzers and inspired ventilation meter was fed through an analog-to-digital converter into a microcomputer, which carried out the metabolic calculations for O2 uptake (VO2) and CO2 production (VCO2) (1). Because of the lag time associated with drying and analysis of the gas, timing adjustments had to be made to assure matching of the gas volume with its gas fractions (14).

Today, most computerized metabolic systems measure the ventilation rate on the expired side. One advantage of this method is that the subject can be connected to the metabolic cart by means of a single expired-gas hose. A common method of measuring VE is with the use of the Hans Rudolf 3813 pneumotachometer (Kansas City, MO) that was designed to have flow linearity in the range of 0-800 l/min (peak flow rates). It consists of a series of three screens that create a resistance to airflow. The drop in air pressure across the center screen is used to compute the gas flow rate. However, the Hans Rudolf pneumotachometer is nonlinear in the lower flow range (<80 l/min). Hence, the Yeh algorithm (22, 23) is used to further correct the linearity at low flow rates (<80 l/min) and to assess any change in resistance created by the upstream geometry or changes in gas viscosity (e.g., helium-O2 mixtures used in some studies).

The use of a pneumotachometer for measurement of VE, as opposed to VI, has certain problems associated with it. The principal concern is condensation of water vapor on the screen, due to the moisture present in exhaled air. To eliminate this concern, Hans Rudolf developed a heated pneumotachometer (model 3813) that prevents condensation. However, this device increases the temperature and therefore the volume of gas passing through it (8). Various methods have been proposed to estimate the temperature of the gas as it passes through the screen, so that ventilation rates can be converted to reflect standard temperature and pressure, dry (STPD) conditions. One method, derived from the work of Kolkhorst et al. (8), is to average the ambient temperature with body temperature (37°C). Little information exists regarding the validity of this averaging method for determining the expired gas temperature.

In recent years, indirect calorimetry has largely become an automated procedure; hence, it is important to establish the accuracy with which gas exchange measurements are made. The purpose of this study was to validate the measurement of gas exchange using a computerized metabolic system, with either VI or VE measurement. Ventilatory and metabolic variables were compared with the classical Douglas bag technique, which served as the criterion method.


    METHODS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Participants. Eight male university students volunteered to participate in the study. The nature of the study was described, and they signed a written, informed consent statement in accordance with the policies of the university's institutional review board. Physical characteristics of the participants were recorded (means ± SD: age = 27.5 ± 5.6 yr, height = 181.8 ± 3.3 cm, weight = 74.9 ± 7.1 kg).

Experimental design. The exercise protocol was preceded by 10 min of seated rest on a Monark 818E cycle ergometer (Varburg, Sweden). Participants then performed a graded exercise test consisting of 5-min stages at power outputs of 50, 100, 150, 200, and 250 W. Before testing, the cycle ergometer was calibrated by placing it on a level surface and hanging known weights (1-4 kg) on the disconnected flywheel belt, while adjusting the position of the pendulum arm to reflect these settings. An electronic metronome was used to keep the participant's cadence at 51 rpm throughout the test.

Each subject was fitted with a rubber mouthpiece connected to a Hans Rudolf 2700 series two-way nonrebreathing valve (Kansas City, MO). A nose clip was worn to prevent nasal breathing. The breathing valve was connected to the metabolic systems on the inspired and expired sides with 2-m corrugated flexible plastic hoses with a 3.2-cm diameter.

Continuous gas exchange measurements were made by using two TrueMax 2400 computerized metabolic systems purchased from the same manufacturer (ParvoMedics, Salt Lake City, UT). The software version was Consentius OUSW-3.3. Both systems utilized the Hans Rudolf 3813 pneumotachometer to measure ventilation. However, one of these systems was set up to measure VI, whereas the other was set up to measure VE (see Fig. 1). The pneumotachometer on the expired side was heated to a temperature of 37°C, while the heater on the inspired side was turned off by unplugging the heater cable from the back of the unit. The expired gas temperature was assumed to be the average of body temperature (37°C) and ambient temperature. A Y-connector was used to join the two gas sampling lines to the mixing chamber. For each system, expired gas fractions were determined by drawing a continuous sample of expired air from the mixing chamber through a 61-cm Nafion Dryer (Permapure, Toms River, NJ) catheter into a paramagnetic O2 analyzer and infrared CO2 analyzer.


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Fig. 1.   Illustration of the experimental setup showing 2 computerized systems for measuring O2 consumption (configured to measure inspired and expired ventilation). Simultaneous collections were made by use of a meteorological balloon for determination of gas exchange by the criterion, Douglas bag, method. VO2, O2 uptake; A/D, analog-to-digital converter; Temp, temperature.

Expired air was collected in meteorological balloons during the last 5 min of rest and during the last 2 min of each 5-min exercise stage. A three-way 3900 series Hans Rudolf Y-stopcock and meteorological balloon were placed in series with the mixing chamber used by the computerized metabolic systems. This allowed for simultaneous measurement of gas exchange via both metabolic systems and the Douglas bag method. At the end of each sampling period, the gas fractions in the meteorological balloons were measured using a Beckman LB2 CO2 analyzer (Schiller Park, IL) and Applied Electrochemistry S-3A O2 analyzer (Sunnyvale, CA). The gas concentrations were determined while the next stage was being performed (i.e., within 5 min). The expired volume was then determined by pushing the collected gas through a 120-liter Tissot gasometer (Warren E. Collins, Braintree, MA). Corrections were made for the small volume of air removed for gas analysis, which included the gas sampled from the meteorological balloons (0.6 liter) and the gas removed by the two ParvoMedics systems (0.69 l/min).

All three sets of gas analyzers were calibrated using 1) room air and 2) a single gas tank (15.09% O2, 6.01% CO2) that had previously been analyzed by the micro-Scholander technique (15). Another gas tank (17.99% O2, 2.99% CO2) was used to ensure linearity of the analyzers across the physiological range. The computerized metabolic systems were calibrated with a 15-stroke calibration of a 3.00-liter Hans Rudolf 5530 series syringe. This was readjusted periodically (after every two or three subjects) by using a five-stroke calibration. Ambient temperature (Ta) and barometric pressure (PB) were measured at the start of each test, and these data were entered into the computers.

For all three methods, VO2 was calculated by using the respiratory Fick principle. Where VE was measured, VI was computed from the so-called Haldane transformation (5, 6): VI = VE × FEN2/FIN2, where FEN2 and FIN2 equal the fractional concentrations of nitrogen in the expired and inspired air, respectively. Likewise, in the method in which inspired ventilation was measured, the expired ventilation was computed using the same formula. These methods assume that N2 is neither produced nor consumed by the body in exercise, an assumption that had previously been questioned by Cissik et al. (3) but was later examined by Wilmore and Costill (19) and found to be valid.

Data analysis. The dependent variables of VE STPD, FEO2, FECO2, VO2, VCO2, and respiratory exchange ratio were examined at all power outputs, for each of the three methods. Bland-Altman (2) plots were used to show the individual differences between the criterion method (Douglas bag) and the inspired or expired computerized metabolic systems.

Statistical analyses were carried out by use of two-way repeated measures ANOVAs (method × power output) for each of the dependent variables, using SPSS for Windows release 9.0.0 1998 (SPSS, Chicago, IL). Because some subjects were unable to perform exercise at 250 W, only five power outputs (0, 50, 100, 150, and 200 W) were analyzed. The two ANOVAs we performed compared 1) inspired metabolic cart to the Douglas bag method and 2) expired metabolic cart vs. the Douglas bag method. This was justified by the purpose of the study, which was to determine whether each computerized method was valid compared with the criterion. For those subjects who were able to complete the 250 W stage, a separate ANOVA was done to compare the three methods for the last level. The significance level was set at 0.05 for all comparisons. Bonferroni adjustments were carried out for each variable to account for multiple comparisons.


    RESULTS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Table 1 shows the physiological responses to a graded exercise test on a cycle ergometer. Data are expressed as means ± SD. The computerized system (using inspiratory or expiratory ventilation measures) showed close agreement with the Douglas bag method for all of the gas exchange variables. Where significant differences did exist, the magnitude of the differences was very small. For instance, FEO2 was slightly lower (by an average of 0.0004 or 0.04%) for both inspired and expired computerized systems, compared with the Douglas bag method (P < 0.01). VO2 was an average of 0.018 l/min (or 18 ml/min) higher for the inspired system, compared with the Douglas bag method (P < 0.05). FECO2 was slightly lower (by an average of 0.0003 or 0.03%) for the expired system, compared with the Douglas bag method (P < 0.05). None of the other variables showed a significant difference between the computerized systems and the Douglas bag method. Significant interactions (power output × method) were found for VE, FECO2, and VCO2 for the expired system (P < 0.05). However, because the magnitude of the interaction was small, post hoc tests were not carried out.

                              
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Table 1.   Physiological responses to a graded exercise test on a cycle ergometer, as determined by the Douglas bag method and computerized metabolic carts (flow measured on expired or inspired side)

Figures 2 and 3 contain the Bland-Altman plots illustrating the individual difference scores (Douglas bag minus computerized system) for the inspiratory and expiratory methods. Overall, the difference scores (expressed as mean and 95% CI) were centered closely around zero, showing that both of the computerized systems agreed closely with the Douglas bag method.


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Fig. 2.   Bland-Altman plots illustrating error scores (Douglas bag minus computerized system) for ventilation (A and B) and expired O2 (FEO2; C and D) and CO2 fraction (FECO2; E and F), for expired (A, C, and E) and inspired (B, D, and F) configurations. Solid horizontal lines represent the mean error score; dashed horizontal lines represent 95% CI.



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Fig. 3.   Bland-Altman plots illustrating error scores (Douglas bag minus computerized system) for VO2 (A and B), CO2 production (VCO2; C and D), and respiratory exchange ratio (RER; E and F), for expired (A, C, and E) and inspired (B, D, and F) configurations. Solid horizontal line represents the mean error score; dashed horizontal lines represent 95% CI.

Two of the subjects attained their maximum power output at 200 W. For the remaining six subjects, there were no statistical differences (at 250 W) among the Douglas bag method, inspired metabolic system, or expired metabolic system for any of the metabolic variables. Two other subjects could only complete 3 min of exercise at 250 W, so the collection period for their Douglas bag measurements for the final stage was over the second and third minute. Heart rate values achieved at the end of the test averaged 189 ± 16 beats/min (mean ± SD), and respiratory exchange ratio values assessed by the Douglas bag method averaged 1.14 ± 0.03, indicative of near-maximal exercise.


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

The main finding of the study was that the computerized system, whether configured to measure inspiratory or expiratory ventilation, yielded gas exchange variables that were extremely close to those obtained by the Douglas bag method. For power outputs ranging from 0 to 250 W, there were only small differences in VO2, VCO2, VE or other variables. Even though some statistically significant differences were found, the differences were so small as to be not physiologically significant.

Because of the stability and linearity of recently developed O2 and CO2 gas analyzers, the major source of variation in assessing VO2 comes from the measurement of ventilation rates. The individual differences in VE between the Douglas bag method and ParvoMedics system never exceeded 1.6 l/min for any subject. This was true, for both expired and inspired systems, for ventilatory rates (STPD) ranging from 6 to 120 l/min. The accuracy of the Hans Rudolf 3813 pneumotachometer (in conjunction with the Yeh algorithm) was remarkable considering that our Douglas bag measurement periods were done in real time. Wilmore and Costill (19) noted that when ventilation is measured simultaneously on the inspired and expired side, the accuracy depends on the subject being "switched in" and "switched out" at the same phase of the tidal volume at the start and end of the collection period. Although this was not done in the present study, the use of 2-min collection periods minimized this type of error.

Regardless of whether ventilation is measured on the inspired or expired side, a "time lag" can occur when making a sudden transition between two power outputs. The increase in VI or VE will be detected immediately, but the change in FEO2 and FECO2 takes longer to be seen. This delay results from two components: 1) the time needed to wash out the mixing chamber, and 2) the time for the gas analyzers to detect the change in gas fractions within the mixing chamber. This temporal mismatch is less of a concern during steady-state exercise when VI and expired gas fractions are relatively stable but could be a factor during a graded exercise test.

Powers et al. (14) developed a method to correct for the time lag problem during nonsteady-state exercise by holding VI data in memory for a user-specified time period (usually 15-20 s) before combining it with the FEO2 or FECO2 values. The first component of the time delay varied with the ventilation rate. The second component of the delay was constant and reflected a 15-second time lag for the gas analyzers to read the gas concentrations in the mixing chamber. This second component predominates at higher flow rates, as the first component diminishes. The metabolic system (Rayfield Equipment, Waitsfield, VT) used by Powers et al. (14) had a plastic drying tube containing Drierite (W. A. Hammond Drierite, Xenia, OH) to dry the gas sample before it entered the gas analyzers, and this increased the time needed for stable gas fractions to be recorded.

The ParvoMedics software (inspired configuration) does not account for the delay between the measurements of ventilation rate and FEO2 or FECO2, but this did not affect the system's accuracy in measuring VO2. One reason is that, with the ParvoMedics system, the sample is transported from the mixing chamber to the gas analyzers by small-bore Nafion tubing (eliminating the need for a Drierite tube). Thus the response time of the gas analyzers in detecting changes in gas fractions within the mixing chamber is very short (~1 s). Furthermore, at moderate to high ventilation rates, the time needed to flush out the volume of the expired-gas hose and mixing chamber (combined total = 5.8 liters) is brief. In addition, a mismatch between VI (or VE) and gas fractions is minimized with the type of experimental protocol we used, which approximated a steady state during the last 2 min of each 5-min stage.

A major advantage to measuring VE is that a single expired-gas hose connects the subject to the metabolic system (as opposed to two hoses for the alternative method). However, when ventilation is measured with a heated pneumotachometer, one must estimate the temperature of the gas as it moves through the screen. The averaging method is a simple method that satisfactorily describes the temperature of the exhaled gas. Another method is to place a temperature probe downstream of the heated pneumotachometer and directly measure the gas temperature. Kolkhorst et al. (8) used this method and found that expired temperatures 1 cm downstream of the heated pneumotachometer were stable at 30.2°C during 45 min of steady-state exercise. This temperature was ~2.0°C higher than that measured with the heater turned off. In their study, the probe temperature was equal to the average of room temperature (23.5°C) and body temperature (37°C).

We also placed an LM35 precision temperature probe (ParvoMedics, Salt Lake City, UT) in the mixing chamber 1 cm above the downstream port of the pneumotachometer to measure expired air temperature. However, this method of measuring expired gas temperature resulted in VE being overestimated by 2%. Because the gas cools as it moves away from the heated pneumotachometer, the mixing chamber temperature would have underestimated the actual gas temperature inside the pneumotachometer. To express volumes under STPD conditions, gas volumes must be corrected to reflect a temperature of 0°C (273°Kelvin), PB = 760 mmHg, and no water vapor. This is done by multiplying VE ATPS by an STPD correction factor
<SC>stpd</SC> correction factor

<IT>=</IT>[273<IT>/</IT>(273<IT>+</IT>T<SUB>a</SUB>)]<IT> ∗ </IT>[(P<SC>b</SC><IT>−</IT>P<SUB>H<SUB>2</SUB>O</SUB>)<IT>/</IT>760 mmHg]
where Ta is the gas temperature at the point where volume is measured (i.e., inside the pneumotachometer) and PH2O is the water vapor pressure of saturated air (14). Because Ta was underestimated by the mixing chamber temperature probe, this method inflated the STPD correction factor, resulting in an overestimate of VE STPD.

The average room temperature across all eight subjects was 21.4°C. Thus the average temperature of the expired gas was estimated to be 29.2°C (i.e., the average of 21.4 and 37°C). The mixing chamber values were 3-4° lower than those measured by the averaging method. Thus the averaging method yielded ventilation rates that were more closely matched with the criterion method than did a mixing chamber temperature probe. It should be noted that a 1.0°C difference in the estimated expiratory temperature from the actual temperature would result in only a 0.6% error in VE (see APPENDIX). Errors of this magnitude would have only a minor effect on the calculation of O2 consumption.

The absolute accuracy of the computerized system used in the present study was greater than observed with some other metabolic systems (7, 11). For the Aerosport KB1-C, the individual VE error scores (Douglas bag minus metabolic system) had a 95% CI of approximately ±10 l/min (7). By comparison, the ParvoMedics system error scores (VE) had a 95% CI range of ±1 l/min. Similarly, the ParvoMedics had one-sixth the error in measuring FEO2 and FECO2 compared with the Aerosport KB1-C, indicating superior linearity and stability of the gas analyzers or better gas sampling techniques. Peel and Utsey (11) examined the Cosmed K2 system and reported a systematic underestimation of VO2 (by 12.5-17%) at all work rates. (It should be noted that the Cosmed and Aerosport systems are portable and thus may have unique design features that do not allow for a fair comparison to the ParvoMedics system.) Porszasz et al. (12) examined the validity of the Medical Graphics CPX Express for minute ventilation and reported a level of accuracy similar to that seen with the ParvoMedics system. The Medical Graphics system uses a symmetrically disposed Pitot tube flow meter and adjusts for nonlinearity using software correction. However, the Medical Graphics system was not validated for metabolic variables such as VO2 and VCO2 in this study.

Although many other computerized metabolic systems have been validated in the literature, several studies used a previously validated metabolic system as the criterion (10, 11, 18, 21). In studies in which the Douglas bag method was used as the criterion, the gas exchange measurements were either nonsimultaneous (9, 16, 17) or nonsteady state (14), making direct comparisons with the present study difficult.

In conclusion, a computerized metabolic system (ParvoMedics) using the Hans Rudolph 3813 pneumotachometer to measure ventilation rates provides accurate gas exchange measurements, irrespective of whether VI or VE is measured. The method of averaging body temperature and room air seems to be adequate for estimating the temperature of the expired gas moving through a heated pneumotachometer. Minimal errors in gas volumes result from this method, suggesting that direct measurement of the gas temperature is not necessary when measuring ventilatory rates on the expired side. Furthermore, a computerized metabolic system permits extremely precise measurements to be made in a less time-consuming manner than the Douglas bag technique.


    APPENDIX
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

The effect of temperature on STPD conversion does not only consist of the temperature-volume relationship described by Charles' law (1/303 = 0.33% per 1°C, at 30°C). It also consists of a change in saturated water vapor pressure. At 30°C, the saturated water vapor pressure is 31.5 mmHg. For any 1°C change, the water vapor pressure changes by ~1.8 mmHg. The dry PB at 30°C = 760 - 31.5 = 728.5 mmHg. When the temperature is around 30°C, the water vapor effect is 1.8/728.5 per 1°C = 0.25%, which is also small. The combined effect is ~0.6% per 1°C in expiratory flow temperature.


    ACKNOWLEDGEMENTS

We thank Jason Langley and William O'Brien for assistance with data collection and subject recruitment and Cary Springer of the University of Tennessee Statistical Consulting Service for help with the data analysis.


    FOOTNOTES

The authors have no financial interest in any of the products mentioned in the text or in competing products.

Address for reprint requests and other correspondence: D. R. Bassett, Jr., Dept. of Exercise Science and Sport Management, Univ. of Tennessee, 1914 Andy Holt Ave., Knoxville, TN 37996-2700 (E-mail: DBassett{at}utk.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 22 September 2000; accepted in final form 9 February 2001.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

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5.   Haldane, JS. Methods of Air Analysis. London: Griffin, 1912.

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7.   King, GA, McLaughlin JE, Howley ET, Bassett DR, Jr, and Ainsworth B. Validation of Aerosport KB1-C Portable Metabolic System. Int J Sports Med 20: 304-308, 1999[Medline].

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9.  McLaughlin JE, King GA, Howley ET, Bassett DR Jr, and Ainsworth BE. Validation of Cosmed K4b2 portable metabolic system. Int J Sports Med. In press.

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12.   Porszasz, JP, Barstow TJ, and Wasserman K. Evaluation of a symmetrically disposed Pitot tube flowmeter for measuring gas flow during exercise. J Appl Physiol 77: 2659-2665, 1994[Abstract/Free Full Text].

13.   Powers, SK, and Howley ET. Calculation of oxygen uptake and carbon dioxide production. In: Exercise Physiology: Theory and Application to Fitness and Performance (3rd ed.). Madison, WI: Brown & Benchmark, 1997, p. 477-480.

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18.   Wideman, L, Stoudemire NM, Pass KA, McGinnes CL, Gaesser GA, and Weltman A. Assessment of the Aerosport TEEM100 portable metabolic measurement system. Med Sci Sports Exerc 28: 509-514, 1996[Medline].

19.   Wilmore, JH, and Costill DL. Adequacy of the Haldane transformation in the computation of exercise VO2 in man. J Appl Physiol 35: 85-89, 1973[Free Full Text].

20.   Wilmore, JH, and Costill DL. Semi-automated systems approach to the assessment of oxygen uptake during exercise. J Appl Physiol 36: 618-620, 1974[Free Full Text].

21.   Wilmore, JH, Davis JA, and Norton AC. An automated system for assessing metabolic and respiratory function during exercise. J Appl Physiol 40: 619-624, 1976[Abstract/Free Full Text].

22.   Yeh, PM, Adams TD, Gardner RM, and Yanowitz FG. Turbine flowmeter vs. Fleisch pneumotachometer: a comparative study for exercise testing. J Appl Physiol 63: 1289-1295, 1987[Abstract/Free Full Text].

23.   Yeh, PM, Gardner RM, Adams TD, and Yanowitz FG. Computerized determination of pneumotachometer characteristics using a calibrated syringe. J Appl Physiol 53: 280-285, 1982[Abstract/Free Full Text].


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