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J Appl Physiol 82: 563-570, 1997;
8750-7587/97 $5.00
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Journal of Applied Physiology
Vol. 82, No. 2, pp. 563-570, February 1997
GAS EXCHANGE, MECHANICS, AND AIRWAYS

Adaptation of the doubly labeled water method for subjects consuming isotopically enriched water

Randall J. Gretebeck1, Dale A. Schoeller2, Rick A. Socki3, Janis Davis-Street1, Everett K. Gibson3, Leslie O. Schulz4, and Helen W. Lane1

1 Nutritional Biochemistry and 3 Stable Isotope Laboratories, Space and Life Sciences Directorate, National Aeronautics and Space Administration/Johnson Space Center, Houston, Texas 77058; 2 The Committee on Human Nutrition and Nutritional Biology, University of Chicago, Department of Medicine, Chicago, Illinois 60637; and 4 Health Sciences, University of Wisconsin, Milwaukee, Wisconsin 53201

ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
ACKNOWLEDGEMENTS
FOOTNOTES
REFERENCES


ABSTRACT

Gretebeck, Randall J., Dale A. Schoeller, Rick A. Socki, Janis Davis-Street, Everett K. Gibson, Leslie O. Schulz, and Helen W. Lane. Adaptation of the doubly labeled water method for subjects consuming isotopically enriched water. J. Appl. Physiol. 82(2): 563-570, 1997.---The use of doubly labeled water (DLW) to measure energy expenditure is subject to error if the background abundance of the oxygen and hydrogen isotope tracers changes during the test period. This study evaluated the accuracy and precision of different methods by which such background isotope changes can be corrected, including a modified method that allows prediction of the baseline that would be achieved if subjects were to consume water from a given source indefinitely. Subjects in this study were eight women (4 test subjects and 4 control subjects) who consumed for 28 days water enriched to resemble drinking water aboard the United States space shuttle. Test subjects and control subjects were given a DLW dose on days 1 and 15, respectively. The change to an enriched water source produced a bias in expenditure calculations that exceeded 2.9 MJ/day (35%), relative to calculations from intake-balance. The proposed correction based on the predicted final abundance of 18O and deuterium after equilibration to the new water source eliminated this bias, as did the traditional use of a control group. This new modified correction method is advantageous under field conditions when subject numbers are limited.

deuterium; oxygen-18; mass spectrometry; energy expenditure


INTRODUCTION

THE DOUBLY LABELED WATER (DLW) method is ideally suited for measuring total energy expenditure (TEE) under field conditions, i.e., when subjects cannot be confined to a laboratory. This method is based on the isotopic equilibration of water labeled with deuterium (2H) and 18O with body water and bicarbonate. After a loading dose of DLW is given, the 2H is eliminated from the body as water, whereas the 18O is eliminated from the body as water and CO2. The difference between the elimination rates of 2H and 18O, therefore, is proportional to CO2 production (VCO2) and, hence, energy expenditure (18). This method is accurate to 1-2%, with precision ranging from 3 to 8% depending on the isotope dose, duration of study, rate of energy expenditure, and related conditions (10, 15).

The use of DLW to measure energy expenditure in human subjects is complicated when those subjects consume water of different isotopic proportions shortly before or during the period of measurement. This change can result in changes in baseline isotope abundance and, therefore, can interfere with the accuracy of energy-expenditure measurements (4, 7). For example, energy expenditure by United States space shuttle astronauts is measured with DLW before and during flights, but these subjects consume water from at least three sources (Johnson Space Center in Houston, TX; Kennedy Space Center at Cape Canaveral, FL; and the space shuttle itself) shortly before or during energy-expenditure measurements. Of these, the potable water on the space shuttles is a particular isotopic problem, as it is produced by fuel cells during production of electrical power. Shuttle fuel cells convert gaseous hydrogen and oxygen to water, which is enriched in 2H and 18O in accordance with the isotopic enrichment of the gases. This enrichment, although not harmful to the crew, might affect both the accuracy and the precision of the DLW technique for measuring energy expenditure.

The simplest solution to the problem posed above would be to increase the dose of the isotope markers to the point at which errors in the natural background become negligible. Dose size influences accuracy and precision in two ways. First, a larger dose produces a larger signal relative to the random error in the isotopic measurement, improving the precision of the measurement. Second, a larger dose increases the signal relative to variations in the natural abundance of 2H and 18O in body water. These variations in natural abundance arise both from isotopic fractionation and from the isotopic constituents of the food, water, and air that enter the body (2, 3, 21, 22). However, this solution is impractical for two reasons, the first being the expense of 18O and the second the complications associated with measuring high enrichments from such large doses accurately with current gas-inlet isotope-ratio mass spectrometers.

Another more practical alternative is to use control subjects who are not given DLW (4, 6, 7) so that the background isotopic abundance of the two groups can be compared over time. This method has been used under conditions of moderate change in the isotopic abundance of drinking water but has never been rigorously validated (under controlled conditions) (4). Inclusion of control subjects in two studies (4, 7) maintained the accuracy of the DLW method, but the precision of the TEE measurements was 7% (4, 7). This approach is not ideal for space research, because the numbers of astronaut subjects available for study are limited. Moreover, the isotopic abundance in the water consumed during space shuttle flights tends to be greater than that reported in the studies described above (4, 7) and thus may degrade precision still further.

A third alternative has been to allow a period of equilibration (usually 1-3 wk) during which subjects consume water from the new source before the DLW dose is given (16). This approach, which also has been validated (16), preserves the accuracy and precision of TEE measurements, but the time required for equilibration may be a limiting factor, especially if the rate of water turnover is low or the difference between the initial and subsequent sources of drinking water is large. An equilibration period is particularly impractical for space crew members, because current space shuttle missions typically last only 7-13 days.

A fourth approach has been to predict the change in baseline as a function of time and the difference in isotopic abundances of the two water sources in question (8). These changes are added to (or subtracted from) the apparent enrichments of each postdose sample in a time point-by-time point basis to obtain the enrichment relative to the shifting baseline value. We recently realized that in the presence of a step change in the abundance of any of the inputs to the body it is possible to simplify this correction by only estimating the abundance of the baseline after the subject equilibrates to the new source of oxygen and hydrogen.

The purpose of this study was to investigate a new means of adjusting for shifts in isotope abundance, which is a modification of the method by Jones et al. (8) in that it does not require a time function. This method involves predicting the new baseline isotopic abundance, as though subjects had undergone a full period of equilibration to a new water source. We present the theoretical basis for this correction as well as validations and comparisons with other methods.


METHODS

Subjects. Eight healthy women (Table 1), all residents of the metropolitan Houston, TX, area, were subjects in this 28-day ground-based study. All subjects were active, i.e., they normally engaged in 30 min or more of aerobic exercise at least three times weekly and continued to do so during the study. All subjects were pronounced healthy after a physical exam, and all were given the opportunity to sample the foods provided before signing an informed-consent statement to participate in the study. Seven of the subjects were allied health care professionals or nutrition/food scientists. After training in dietary record keeping, each subject interacted with a registered dietitian on a daily to weekly basis to verify completeness and accuracy of their logs. For the entire 28-day study, all subjects consumed only food items used on the space shuttle and tap water enriched with 2H and 18O to resemble the water available on a typical space shuttle mission.

Table 1. Subject characteristics


Subject Age, yr Height, cm Weight, kg %Fat REE, MJ/day

Test group
1 45 160 56.6 26.1 4.56
2 35 166 62.4 26.0 5.24
3 45 165 62.4 27.0 5.76
4 31 160 49.0 26.9 4.45
Control group
5 47 171 58.6 17.7 6.27
6 35 155 45.7 28.2 5.20
7 33 168 55.4 21.8 6.24
8 35 155 62.3 26.7 5.80
Mean ± SD 38.3 ± 6.3  163 ± 5.9  56.6 ± 6.3  25.1 ± 3.5  5.44 ± 0.7

REE, postabsorptive resting energy expenditure.

The experimental design is illustrated in Fig. 1. All subjects provided baseline urine and saliva samples at the Johnson Space Center Nutritional Biochemistry Laboratory after an overnight fast. Subjects were instructed to collect their first morning void for the next 4 wk. These urine samples were delivered daily to the laboratory for isotopic analysis as described below. Four of the eight subjects (the test group) were given DLW doses and began consuming enriched water on day 1 (i.e., no equilibration period). The remaining four (control) subjects also began consuming the enriched water on day 1 but were given their DLW doses on day 15. Additional urine and saliva samples were collected at the lab 5 h after the DLW dose.
Fig. 1. Experimental design. Enriched water and shuttle foods were consumed, and urine samples were collected before noon (A.M.) throughout 28-day period. Test subjects (bullet ) received a doubly labeled water (DLW) dose on day 1 and control subjects (black-square) on day 15. Thus total energy expenditure (TEE) was determined during days 1-14 for test subjects and during days 15-28 for control subjects. Body composition was determined by dual energy X-ray absorptiometry (DEXA) at the beginning, middle, and end of study.
[View Larger Version of this Image (22K GIF file)]

Resting energy expenditure. Resting energy expenditure was measured on days 1, 15, and 28. Subjects arrived at the laboratory in the morning, after having fasted for at least the previous 8 h and rested supine in a darkened room for 20 min before the measurements were begun. Measurements were taken over 45-min periods by using a critical care monitor with a canopy system (Medical Graphics, St. Paul, MN) for breath-by-breath analysis of VCO2 and oxygen uptake (VO2). Subjects were instructed to rest quietly but remain awake during the measurements.

Diet. Enriched water was made fresh every 3-4 days to minimize bacterial growth during storage by adding 8.75 ml of H218O 10 atom percent excess (APE) and 0.25 ml 2H2O (99.8 APE) to 10 liters of Houston tap water. The isotopic abundance of randomly selected enriched water samples averaged 34.6 ± 2.7per thousand for 18O and 123 ± 10per thousand for 2H. These concentrations were designed to represent the average isotope abundance in water samples retrieved after two space shuttle missions and were 34 ± 2.8per thousand for 18O and 125 ± 70.7per thousand for 2H. The day-to-day SD within each mission averaged 0.7per thousand for 18O and 2.8per thousand for 2H. The enriched water was carried by the subjects throughout the day and used to prepare drinks and rehydrate foods as well as for direct consumption.

All foods and fluids consumed throughout the study were weighed on calibrated electronic scales by the subjects and recorded in a standardized diary. All diets were self-selected from food items provided aboard the space shuttle vehicles. The majority of these food items were dehydrated, packaged individually, and reconstituted with enriched water. The use of a controlled inventory of supplied foods greatly enhanced the accuracy of food records that were reviewed weekly with a dietitian. All shuttle foods were analyzed for energy, fat, protein, and moisture content, with carbohydrate content calculated by difference.

Body composition. Body composition was determined at the beginning, middle, and end of the study by dual-energy X-ray absorptiometry (Hologic model QDR 1000/W, Hologic, Waltham, MA). Whole body scans were obtained in the pencil-beam mode while the subjects rested supine, and scans were analyzed by using Hologic's whole body-analysis software (version 5.35). Body-composition results were reported as lean mass, bone mass, fat mass, and total mass. Percent body fat was calculated by dividing total fat mass by total body mass. The precision of the whole body scan within our laboratory was 0.87% for lean body mass and 1.71% for fat mass, respectively (20).

DLW doses. Isotopes were purchased from Icon Services (Summit, NJ), and the doses were calculated as follows: 6.2 atom-percent H218O mixed with 99.8 atom-percent 2H2O to reach a 100-APE dose of 0.5 g of H218O and 0.24 g of 2H2O per kilogram of lean body mass (estimated from body weight). DLW was administered in the morning after an overnight fast. Subjects continued their fast for an additional 5 h.

Sample analyses. Urine and saliva samples were centrifuged in the presence of activated charcoal, filtered, and stored frozen in cryogenically stable tubes at -20°C until analysis by gas-inlet isotope-ratio mass spectrometry. Samples were analyzed for 2H2O by zinc reduction at the University of Chicago, Department of Medicine (14), and for H218O by CO2 equilibration at the Johnson Space Center, Stable Isotope Laboratory (19). Aliquots (2 µl) were introduced into an evacuated side arm and allowed to distill over to a 6-mm OD quartz tube containing 40 mg of zinc reagent (Biogeochemistry, Bloomington, IN) and were then cooled to liquid nitrogen temperatures. The tubes were sealed and heated to 500°C for 30 min. 2H analyses were performed in triplicate; SD values ranged from 1.5per thousand for enrichments of <200per thousand to 4.5per thousand for enrichments approaching 2,000per thousand when measured with a triple-inlet Nuclide 3-60 HD isotope ratio mass spectrometer (PATCO, Belefonte, PA).

The CO2 equilibration technique involved dispensing 1.5 ml of sample into a 7-ml evacuated tube with 150 mmol of 99.9% pure CO2. Samples were then shaken in a water bath at 25°C for at least 12 h, and the CO2 was cryogenically removed and stored in 6-mm break-seal tubes. Samples were analyzed on a Finnigan MAT 251 stable-isotope mass spectrometer at Johnson Space Center. The reproducibility of this technique in this laboratory is ±0.05per thousand or better at the 1 SD confidence level (19).

Dilution spaces for H218O and 2H2O were calculated from the baseline and the 5-h-after dose samples by using the equation
N (mol) = (WA /18.02a)/[(&dgr;<SUB>a</SUB> − &dgr;<SUB>t</SUB>)/(&dgr;<SUB>s</SUB> − &dgr;<SUB>p</SUB>)] (1)
where N is the pool space; W is the amount of water used to dilute the dose; A is the amount of dose administered; a is the amount of dose diluted for analysis; and delta  is the enrichment of the dose (delta a), of the tap water (delta t), of the 5-h-after dose sample (delta s), or of the baseline sample (delta p).

VCO2 rate (rCO2) was calculated as described by Schoeller et al. (18) and Racette et al. (12) by using the equation
r<SUB>CO<SUB>2</SUB></SUB>(mol/day) = (TBW/2.078)(1.007 k<SUB>O</SUB> − 1.041 k<SUB>H</SUB> )
− 0.0246 r<SUB>Gf</SUB> (2)
where TBW is the average total body water (calculated from H218O and 2H2O as shown in Eq. 1), kO and kH are the elimination rates of 18O and 2H, respectively, and rate of water loss via fractionating gaseous routes (rGf) is estimated as 1.05 TBW (1.007 kO - 1.041 kH). (The isotope-elimination rates for these 8 subjects averaged 0.114 ± 0.020 mol/day for 18O and 0.092 ± 0.018 mol/day for 2H.)

VO2 was derived for each subject by dividing the VCO2 rate by the food quotient, which was derived from analysis of diet composition (1). TEE was calculated as described by de Weir (5).

Calculation of isotopic enrichment of body fluids. The appearance of 2H and 18O in body water after a step change in the enrichment of drinking water follows a single-exponential time course
E = C<SUB><IT>t</IT></SUB> − C<SUB>bl</SUB> = (C<SUB>f</SUB> − C<SUB>bl</SUB>)(1 − <IT>e</IT><SUP>−k<IT>t</IT></SUP>) (3)
where E is the isotopic enrichment relative to the baseline sample, C is isotopic abundance, k is the turnover rate of the element in body water, t is time relative to the step change in abundance, and the subscripts t, bl, and f refer to the isotopic abundance at time t, at baseline (t = 0), and at final equilibration to the new water source. Figure 2 illustrates theoretical changes in isotopic enrichment of body water.
Fig. 2. Theoretical change in isotopic abundance in body water after a shift in enrichment of drinking water. Co, original isotopic abundance after closing; Cbl, isotopic abundance at baseline; Cf, final isotopic abundance; Ct abundance at time t.
[View Larger Version of this Image (14K GIF file)]

If a subject is given a dose of labeled water after having equilibrated to the new water source, then the elimination of the label is also described by a single-exponential function
E = C<SUB><IT>t</IT></SUB> − C<SUB>bl</SUB> = [C<SUB>0</SUB> − C<SUB>bl</SUB>]<IT>e</IT><SUP>−k<IT>t</IT></SUP> (4)
where the subscript 0 refers to the initial equilibrated isotopic abundance after the dose.

In contrast, when the isotopic proportions of drinking water change at the same time as a dose of labeled water is given, the enrichment of body fluids will be the sum of both processes
E = C<SUB><IT>t</IT></SUB> − C<SUB>bl</SUB> = (C<SUB>f</SUB> − C<SUB>bl</SUB> ) (1 − <IT>e</IT><SUP>−k<IT>t</IT></SUP> ) + (C<SUB>0</SUB> − C<SUB>bl</SUB> ) <IT>e</IT><SUP>−k<IT>t</IT></SUP>
= (C<SUB>0</SUB> − C<SUB>f</SUB>) <IT>e</IT><SUP>−k<IT>t</IT></SUP> + (C<SUB>f</SUB> − C<SUB>bl</SUB> ) (5)
Taking the natural logarithm of both sides of Eq. 5 and solving for k yields
k = &Dgr;[ln (C<SUB><IT>t</IT></SUB> − C<SUB>f</SUB>)]/&Dgr;<IT>t</IT> (6)
As Eq. 6 demonstrates, the only factors needed to calculate isotope-elimination rates are the isotopic abundances during the metabolic period and the final isotopic abundance after equilibration to the new water source.

Correcting for changes in drinking-water enrichment. Because of the difficulty noted above in allowing time for complete equilibration to new water sources during space research, we used three methods to estimate what the 2H and 18O abundance would be in our subjects if they had equilibrated fully to the new drinking water (9-10 biological half-lives). The first method, isotopic mass balance, allowed final values for 2H (Eq. 7) and 18O (Eq. 8) to be predicted from the isotopic enrichment of the drinking water, food, and air (14, 17)
R<SUB>bl</SUB> = (X <SUB>wH</SUB> R <SUB>wH</SUB> + X<SUB>f H</SUB> R <SUB>fH</SUB>)/(X <SUB>nf</SUB> + f<SUB>1</SUB>X<SUB>f</SUB>) (7)
where Rf bl is the ratio of heavy-to-light hydrogen at the final equilibrated time (i.e., the new baseline); R is the ratio of heavy-to-light hydrogen (derived from the d values for 2H in water and in food); X is the fraction of hydrogen influx from water (w) or food (f) or hydrogen efflux via nonfractionated water output (nf) or fractionated water output (f ); and
R <SUB>fbl</SUB> = (X<SUB>wO</SUB> R<SUB>wO</SUB> + X<SUB>f O</SUB> R<SUB>f O</SUB> + f<SUB>4</SUB> X <SUB>O</SUB> R<SUB>O<SUB>2</SUB></SUB>)/
(X<SUB>nf</SUB> + f<SUB>2</SUB> X<SUB>f</SUB> + f<SUB>3</SUB>X<SUB>CO<SUB>2</SUB></SUB>) (8)
where Rf bl is the ratio of heavy-to-light oxygen (subscript O) at the final equilibrated time (i.e., the new baseline); R is the ratio of heavy-to-light oxygen (derived from the d values for 18O in water and in food); X is the fraction of oxygen influx or efflux (see Table 2); f2 is the liquid-gas fractionation factor for oxygen in water; f3 is the fractionation factor for oxygen in liquid water and CO2; and f4 is the fractionation factor for VO2 in the lung. The variables used in these calculations are listed in Table 2.

Table 2. Isotopic mass balance variables


Symbol Definition Value Reference

XwO Fraction of O influx as water 0.62 Measured
XfO Fraction of O influx as food 0.14 Measured
XO2 Fraction of O influx as molecular O2 0.24 Estimated   from EE
 delta Ow 18O abundance in water 34.6 Measured
 delta fO 18O abundance in food 23 22
 delta O2 18O abundance in molecular O2 23.5 22
Xnf Fraction of O efflux not fractionated water 0.62 Measured
Xf Fraction of O efflux fractionated water 0.14 17
XCO2 Fraction of O efflux as CO2 0.24 17
XwH Fraction of H influx as water 0.81 Measured
XfH Fraction of H influx as food 0.19 Measured
 delta wH Deuterium abundance in water 123 Measured
 delta fH Deuterium abundance in food  -65 Measured
Xnf Fraction of H efflux not fractionated water 0.76 Measured
Xf Fraction of H efflux fractionated water 0.24 Measured
f1 2H fractionation from water vapor to water 0.94 17
f2 18O fractionation from water vapor to water 0.992 17
f3 18O fractionation from CO2 to water 1.038 17
f4 18O fractionation from O2 uptake 0.992 22

EE, energy expenditure.

The second and third methods of estimating isotopic abundance after full equilibration involved fitting exponential models to the data. The model used for the second method, which focused on isotope elimination after a simultaneous change in drinking water and a DLW dose, was
A<SUB><IT>t</IT></SUB> = K(1)<IT>e</IT><SUP>−k<IT>t</IT></SUP> + K(2) (9)
where A t is the amount of the tracer in the body at time t K(1) = C0 - Cf and K(2) = Cf - Cbl. The CONSAAM program for PC (version 29; National Institutes of Health/National Cancer Institute, Bethesda, MD) was used to fit the model. The third method was to fit another exponential model to the isotopic abundance changes in control subjects who changed water sources but were not given the DLW dose until 15 days later. The control subjects did not receive DLW until day 15, so the isotope appearance in these subjects could be used to correct for background changes in the test subjects who received DLW on day 1. That model was
C<SUB><IT>t</IT></SUB> = K(3)[1 − <IT>e</IT><SUP>−kt</SUP>] + K(4) (10)
where K(3) = Cf - Cbl and K(4) = Cbl.

Statistical analyses. Results are presented as means ± SD. Energy expenditure calculations from the three enrichment adjustment methods were compared with calculations from the energy intake balance method by using paired t-tests. Variances were compared by using F-tests.


RESULTS

Samples of tap water collected at the Johnson Space Center were found to contain -4.4per thousand 18O and -25.2per thousand 2H, relative to standard mean ocean water (SMOW). Urine samples collected before subjects began consuming the enriched water contained 0.49 ± 1.6per thousand 18O and -12.65 ± 6.3per thousand 2H (means and SD values for 8 subjects).

The change in isotopic enrichment of body fluids for those subjects who consumed the enriched water for 2 wk before receiving the DLW dose (isotope appearance) is shown in Fig. 3. The equilibrated baseline abundance predicted from mass balance (Eqs. 7 and 8) for these subjects was 20.0per thousand for 18O and 110.9per thousand for 2H.


Fig. 3. Change in isotopic abundance during 14 days of consumption of water artificially enriched with 2H and 18O to mimic enrichment of potable water aboard United States space shuttle vehicles. A: deuterium isotope appearance. B: 18O isotope appearance. SMOW, standard mean ocean water; subj, subject.
[View Larger Version of this Image (25K GIF file)]

Table 3 presents isotopic abundance values from urine samples collected before and after consumption of enriched water. Baseline isotopic abundance after equilibration to the enriched water was estimated from isotope-appearance (Eq. 10) and -disappearance (Eq. 9) kinetics. The value estimated from the appearance kinetics (Eq. 10, extrapolated to infinite time) (Table 3) was similar to that predicted from mass balance. The average values predicted from the disappearance kinetics (Eq. 9, extrapolated to infinite time) were not different; however, the individual values were unexpectedly variable (Table 3).

Table 3. Isotope abundance in urine samples collected before and after a 2-wk equilibration to enriched water


Subject Measured on Study Day 0 
Measured on Study Day 14 
Predicted From Isotope Appearance Kinetics (from Eq. 10)
Predicted From Isotope Disappearance Kinetics (from Eq. 9)
 delta 18O  delta 2H  delta 18O  delta 2H  delta 18O  delta 2H  delta 18O  delta 2H

Test group
1  -2.1  -16.8 27.7 131
2 0.5  -24.0 10.1  -24
3 1.8  -4.3 36.2 263
4  -0.9  -14.7 28.7 233
Mean ± SD  -0.2 ± 1.7   -14.9 ± 8.1  25.7 ± 11.1  150 ± 129 
Control group
5  -0.1  -13.8 12.9 47.9 21.2 124 4.2  -34
6 2.2  -9.7 14.9 59.3 18.5 75 25.3 373
7 2.6  -5.6 11.0 35.7 15.5 121  -22.2 212
8  -0.2  -12.3 19.1 72.2 24.9 114 44.8 52
Mean ± SD 1.1 ± 1.5   -10.4 ± 3.6  14.5 ± 3.5  53.8 ± 15.6  20.0 ± 4.0  108.5 ± 22.7  13.0 ± 28.8  150 ± 180 
Grand mean ± SD 0.5 ± 1.6   -12.7 ± 6.3  14.5 ± 3.5  53.8 ± 15.6  20.0 ± 4.0  108.5 ± 22.7  19.4 ± 21.3  150.8 ± 145.1

delta , Enrichment.

Energy expenditure. The criterion method for assessing energy expenditure was energy intake-balance, where intake was obtained from the controlled inventory of the same prepackaged foods used on the space shuttle. Mean energy consumed during the 2-wk energy-expenditure periods was 7.65 ± 1.26 MJ/day. Subjects tended to be in negative energy balance during the 2 wk (-0.47 ± 1.06 MJ/day), as indicated by small energy losses from body stores (Table 4).

Table 4. Energy intake and change in body energy stores


Subject Energy Intake, mJ/day Food Quotient Change in Body Weight, kg Change in Body Fat, kg Change in Energy Stores, MJ/day Intake-Balance TEE, MJ/day

Test group
1 6.36 0.88  -0.5 0.47 1.36 5.00
2 6.96 0.91 1.7  -0.58  -1.98 8.95
3 7.95 0.86 1.3  -0.54  -1.78 9.74
4 8.53 0.88  -0.3  -0.24  -0.55 9.08
Control group
5 10.02 0.91 0.4 0.05 0.01 10.02
6 6.11 0.85  -0.7  -0.16  -0.19 6.31
7 7.83 0.89  -0.8  -0.31  -0.55 8.39
8 7.40 0.86  -0.4  -0.08  -0.07 7.49
Mean ± SD 7.65 ± 1.26  0.88 ± 0.02  0.09 ± 0.95   -0.17 ± 0.34   -0.47 ± 1.06  8.12 ± 1.75

Energy intake was determined from weighed-diet records. Food quotient was determined according to Black et al. (1). Change in body fat was determined by using dual-energy X-ray absorptiometry. Change in energy stores assumed energy densities of 39.748 MJ/kg fat mass and 4.184 MJ/kg fat-free mass. TEE, total energy expenditure, which equals energy intake minus change in energy stores.

Energy expenditure was calculated from DLW results for the four test subjects (those who had no equilibration period) from their individual (predose) isotopic baselines, from the mass balance-predicted baseline for the group, from the individual baselines estimated from the isotope disappearance kinetics, and from the change in baseline for the control subjects (Table 5). As expected, the use of the individual (predose) measured baselines produced substantial error in the estimate of energy expenditure (Table 5). In contrast, energy-expenditure values from the isotope mass balance predicted baseline underestimated energy expenditure (relative to intake-balance calculations) by only -0.87 ± 1.67 MJ/day (not significant). The use of the correction based on the observed changes in baseline in the control group also generated accurate estimates. The use of the baseline predicted from disappearance kinetics was accurate for the test group but was imprecise (P < 0.05 vs. the isotope balance predicted baseline, F-test), as might be expected from the variability in the estimated isotopic abundances at infinite time.

Table 5. Energy expenditure calculated from energy intake-balance vs. estimates of baseline isotopic abundance


Subject IntakeBalance
Measured Baseline
Predicted Baseline (Isotope Balance)
Predicted Baseline (Isotope Disappearance; Eq. 9)
Predicted Baseline (Control Subjects; Eq. 10)
TEE TEE Error TEE Error TEE Error TEE Error

Test group
1 5.00 3.71  -1.29 6.07 1.07 8.36 2.48 6.60 1.60
2 8.95 6.31  -2.64 8.47  -0.48 9.98 2.40 8.98 0.03
3 9.74 5.49  -4.25 6.78  -2.96 6.24  -2.28 7.56  -2.18
4 9.08 5.58  -3.50 7.98  -1.10 5.36  -3.43 8.48  -0.60
Mean ± SD 8.19 ± 2.16  5.27 ± 1.10   -2.92 ± 1.27* 7.31 ± 1.08   -0.87 ± 1.67  7.48 ± 2.08   -0.71 ± 3.49dagger 7.91 ± 1.05   -0.29 ± 1.56

TEE in MJ/day. * P < 0.05 [intake-balance vs. measured (predose) baseline]; dagger P < 0.05 (variance of baselines predicted from isotope- disappearance kinetics vs. mass balance).

Energy expenditure also was calculated for the control subjects from their (predose) urine samples, from individual baselines estimated from the isotope-appearance kinetics, from the isotope-disappearance kinetics, and from isotope balance predicted baselines (Table 6). Control subjects had 2 wk to partially equilibrate to the enriched water (which corresponds to ~2 biological half-lives). The energy-expenditure values from DLW were accurate with the use of any of the methods. However, the precision of the elimination predicted baseline was reduced relative to that of the test subjects from the isotope balance predicted baseline (P < 0.01). The precision predicted from appearance kinetics tended to be worse than that of the isotope balance predicted baseline; however, the difference did not reach statistical significance (P > 0.05, F-test).

Table 6. Energy expenditure calculated for subjects who consumed enriched water for 14 days before DLW dosing


Subject Intake-Balance
Measured Baseline
Predicted Baseline (Isotope Balance)
Predicted Baseline (Isotope Disappearance Kinetics; Eq. 9)
Predicted Baseline (Isotope Appearance Kinetics; Eq. 10)
TEE TEE Error TEE Error TEE Error TEE Error

Control group
5 10.02 9.61  -0.41 9.80  -0.22 9.58  -0.40 9.02  -1.00
6 6.31 7.04 0.73 7.07 0.76  -8.06  -14.35 7.76 1.45
7 8.39 8.88 0.49 8.72 0.33  -0.47  -8.63 6.49  -1.90
8 7.49 10.34 2.85 8.30 0.81 37.68 30.19 11.28 3.79
Mean ± SD 8.05 ± 1.57  8.92 ± 1.52  0.92 ± 1.38  8.47 ± 1.13  0.42 ± 0.49  9.68 ± 20.01  1.63 ± 19.88* 8.64 ± 2.04  0.59 ± 2.56

TEE in MJ/day. DLW, doubly labeled water. * P < 0.05 (variance of isotope disappearance kinetics vs. mass balance).


DISCUSSION

This is the first controlled investigation of how a change in isotope abundance affects the accuracy and precision of the DLW method. Previous investigations have involved either observations of background changes in largely uncontrolled situations in natural settings (4, 7), clinical situations in which the control was dictated by medical practice (8, 9, 16), or situations in which only computer simulations were possible (13, 21). Moreover, the background changes imposed in this investigation were larger than those encountered under most conditions. This combination of control plus a large change in background provided an excellent opportunity to demonstrate that background changes can negatively affect this method. More importantly, we were able to demonstrate that the deleterious effects could be mitigated by using approaches applied by previous investigators or a new approach that is based on estimates of final equilibrated isotope abundance.

The potential for error under changing background conditions was illustrated clearly by the average error of 2.9 MJ for the four test subjects, when the isotope-disappearance rates were calculated without considering the change in background. Intersubject variability was not inflated and did not provide any indication of problems, because the subjects all showed the same changes in background that could be expected from introducing a new water source.

This 2.9-MJ bias is much larger than that reported by DeLany et al. (4) or Jones et al. (7), who used the DLW method to measure energy expended by soldiers who had been transported to a new location to engage in field exercises. However, subjects in these studies consumed water from natural sources, with isotopic compositions close to the meteoric water line (3). Thus the ratio of change in baseline isotopic abundance was roughly 6:1 2H/oxygen, which resembles the enrichment of these isotopes in body water after standard doses. Therefore, the errors produced in the rates of disappearance of 2H and oxygen isotopes were covariant and largely canceled each other out in the calculations of energy expenditure, because this calculation depends on the difference between the two elimination rates.

The present study confirms the utility of using an equilibration period when the isotopic enrichment of the water source for subjects is altered. The 2-wk period used in this study was adequate for the calculation despite its being insufficient for full equilibration to the new water source. Indeed, the predose isotopic abundance in the control subjects had reached only ~75% of the estimated final equilibration. Nonetheless, no bias was detected nor relative precision lost. These results indicated that partial equilibration was sufficient to obviate the problems of the unusual isotopic composition of the enriched water. The isotopic composition of the experimental water source in the present study was chosen to mimic the water that astronauts consume aboard the space shuttles. The bias observed in this study, however, documents the estimates of bias made by Schoeller et al. (16) and Pullicino et al. (11), whose subjects were fed intravenously with water that had an unusual isotopic composition arising from the distillation process (11).

The present study also confirms the validity of using control groups to track changes in isotope backgrounds when full or partial equilibration periods are not feasible. In addition, we have demonstrated that baseline changes can be corrected equally well without a control group but, instead, by calculating the final equilibrated-baseline isotope abundance from isotope mass balance. The coefficient of variation for this correction was 13%, which is similar to that reported by Jones et al. (8) but worse than the 7-8% reported by DeLany et al. (4) using a control group. A 13% coefficient of variation also characterized the control group in the present study, suggesting that poor precision was due to the isotopic composition of the enriched water rather than to the method itself.

The use of isotope-disappearance kinetics to predict final baselines failed, probably because of the need to extrapolate too far from the final data point, as indicated by model-derived uncertainties in the estimated final isotopic abundances of 21per thousand for oxygen and 145per thousand for 2H. This variability might have been reduced if urine samples had been collected during two additional biological half-lives during the evaluation period.

The advantage of the correction method described in this paper that is based on the final isotope ratio of the fully equilibrated baseline isotope abundance is that it does not require that a subset of subjects be relegated to a control group, an important consideration when the number of subjects is limited. The disadvantage of this method is that it requires the isotopic composition of the various inputs to be relatively constant and that the information be available to calculate isotope balance. Furthermore, because the isotope-balance correction method is sensitive to errors in the estimates of the input functions (17), it does not provide quite as much confidence as would tracking a change in baseline in a control group. Fortunately, most of the 19 factors needed to calculate mass balance (Table 2) are known and should remain relatively constant. Only the isotopic abundance of the new water source and the fractions of elemental influx and efflux are highly variable. The constituents of the new water can be measured readily, and the fractions of elemental influx and efflux can be estimated (14). The prediction will never be perfect, however, because these parameters are subject to physiological variations. In general, these variations will cause the baseline abundance of both isotopes to vary, typically with a 6:1 change in the per mill abundance of 2H and oxygen (3, 17). Thus it is important to use isotope loading doses that produce 6:1per thousand enrichments of these isotopes in body water and to limit the metabolic period to less than two biological half-lives (2, 13, 18).

In summary, we have validated a new correction procedure for the DLW method for situations in which the background abundance of isotopes cannot be kept constant. In addition, we have validated the commonly used control subject correction method, which has been assumed to be valid. The new method has been validated under conditions that simulate space shuttle flight and thus will permit the DLW method to be used to assess human energy expenditure under the unique conditions of space flight.


ACKNOWLEDGEMENTS

The authors appreciate the efforts of Christine Wogan of KRUG Life Sciences in clarifying this presentation.


FOOTNOTES

   This work was supported by the National Aeronautics and Space Administration-Johnson Space Center and by National Institute of Diabetes and Digestive and Kidney Diseases Grant DK-26678.

Address for reprint requests: R. J. Gretebeck, c/o H. Lane, Nutritional Biochemistry Laboratory, Medical Sciences Division, Mail Code SD3, NASA-Johnson Space Center, Houston, TX 77058.

Received 20 May 1996; accepted in final form 26 August 1996.


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