Vol. 91, Issue 2, 733-736, August 2001
Validation of equilibration and chromium reduction methods for
deuterium measurements of fluid volumes
T.
Hedestig,
A.
Ebberyd, and
S. G. E.
Lindahl
Department of Anaesthesia and Intensive Care, Karolinska
Hospital and Institute, S-171 76 Stockholm, Sweden
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ABSTRACT |
Determinations of fluid
volumes are of importance for correct treatment of patients subjected
to shock and trauma. Gas isotope ratio mass spectrometry (GIRMS) is an
advanced method for analysis of stable isotopes. These can be used as
tracers for measurement of various fluid volumes. In the current in
vitro study, deuterium was used to determine different volumes of water
simulating a range of body fluid volumes from neonates to adults. A
high-precision scale gave control weights (i.e., volumes), and two
methods, equilibration (EQ) and chromium reduction (CR), were compared
by use of a GIRMS. The coefficient of variation was <1% when using
both EQ (0.45%) and CR (0.79%). The variability was greater at small
volumes, and, when regression equations for the relation between
measured and calculated volumes were used as formulas, the deviation
was 0.4% using EQ and 2.8% using CR at the volume of 1,000 ml. At larger volumes, the deviation when using CR approached 1%. These variations are better than previously published data using other methods. It was concluded that GIRMS is a suitable technique for fluid
volume determinations in neonates as well as in adult patients, using
deuterium as a tracer. EQ and CR methods were both regarded to give
acceptable variabilities in this in vitro study. GIRMS may in the
future increasingly be used clinically for accurate measurements of
body fluid volumes.
body water; stable isotopes; mass spectrometry
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INTRODUCTION |
THE VOLUME OF BODY WATER
IS physiologically well regulated although life threatening water
changes are not uncommon. During surgery and in connection with trauma,
fluid therapy and balance are vital for patient outcome. Although
infusion therapy is equally important at all ages, it is at the
extremes of age, i.e., in neonates and in the elderly, that fluid
balance often is a difficult and delicate matter in clinical practice
for both in-hospital treatment and prehospital care. It is therefore of
great value to be able to accurately measure changes in body water content.
The latest development of gas isotope ratio mass spectrometers (GIRMS)
using stable isotopes as tracers has opened up new possibilities for
the clinical use of this highly technological device. Measurements with
isotope tracers by using a dilution principle are well known, and
deuterium is a widely used isotope for measurements of total body water
(TBW). Analyses of deuterium/hydrogen (D/H) have previously been done
by reducing water samples, with uranium or zinc, to H2 and
then analyzing for D/H (1). An alternative method
is the use of equilibration (EQ) between samples of water and gaseous
H2 followed by analyses of D/H in the equilibrated H2 (8). A promising new technique for
measurement of hydrogen isotopes using chromium reduction (CR) has
recently been developed (4). This new CR method also
presents possibilities for measurements of small samples in all kinds
of body liquids. The aim of this study was to evaluate the CR method
and compare it to the EQ technique. Precision, accuracy, and
variability for measurements of TBW were tested in a body compartment model.
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METHOD |
Experimental design.
Different weights of ordinary tap water were contained in water tanks
to cover a simulated range of total body water volumes from neonates to
adults. The following "body water" volumes were used: 1.8 × 103 ml, 3.0 × 103 ml, 15 × 103 ml, 30 × 103 ml, 45 × 103 ml, and 54 × 103 ml. A high-precision
digital scale (Stathmos, Vaxjo, Sweden) was used and had an exactitude
of ±10 g in the weight range between 0 and 120 kg.
A high-precision laboratory scale was used for weighing the correct
amounts of tracer (0.1 g/kg 99.98%) to be used. The deuterium was
diluted in tap water and added to the water tanks. The dose-containing bottle was rinsed with tap water, and this water was also added to the
tanks. Double samples were taken from background, tap water, diluted
dose, and postdose fluids. Each sample was divided into four parts and
processed in parallel. On the basis of the result of these four
measurements, a mean was calculated for each sample. The final value
was then taken as the arithmetic mean of the two original duplicate
samples. Because the different fluid volumes were weighed and because
the density of water is 0.99 kg/dm3, the phrases
volume and weight have been used interchangeably in the study.
EQ technique.
This system is a fully automatic EQ system (Thermo Finnigan MAT,
Bremen, Germany). Glass bottles (20 ml) were filled with the
water samples, and platinum catalysts (Hokko sticks) were placed in the
bottles before they were connected to the analyzing rack. The rack was
mounted on a sled that enabled the bottles to be immersed in a water
bath. The sled was shaken using an eccentric drive. The temperature was
maintained constant at 18°C ± 0.05°C. The temperature was
chosen to minimize condensation inside the bottles. The sample bottles
were connected via a short capillary to a manifold with a pneumatic
valve. The line was evacuated by using a rotary vacuum pump. Then the
bottles were filled with EQ gas. The EQ pressure (0.4-0.6 bar)
gave an appropriate pressure in the inlet system after EQ. The EQ time
was set to 120 min.
After EQ, the sample gas was sequentially transferred to the inlet
system of the mass spectrometer. The transfer line was immersed in a
cold trap to prevent water vapor from entering the inlet system. The
isotope ratio measurements were carried out on a Delta plus mass
spectrometer (ThermoQuest). The H3+ factor was
measured, and the contribution to the mass 3 ion current was
quantitatively corrected.
CR method.
Chromium reduces water to hydrogen gas at >700°C according to the
reaction
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|
The reaction quartz tube was filled with ~50 g of chromium
powder with a layer of quartz wool. The reaction furnace was connected on-line with the GIRMS. Samples are loaded into 0.75-ml vials in the tray of an auto sampler A200s. The sample, 2 µl, was injected by the auto injector into the reaction furnace at 900°C, by use of a
gas-tight microsyringe. The sample quickly evaporated and was reduced
almost instantly at the contact with chromium. The hydrogen gas flows
into the inlet system because of the pressure gradient. Measurements
start after pressure EQ between the reaction furnace and the variable
volume bellows. Reaction and EQ times are 80 s from injection to
start of measurement. In this study, an automatic H-device was used (ThermoQuest).
Apparatus.
GIRMS is an analytical technique for accurate and precise measurements
of stable isotopes. The mass spectrometer consists of an inlet system,
an ion source, a magnet, and a collector. The entire analyzing process
is completely controlled by a computer. Samples must be in a gaseous
state before they are introduced into the ion source. For hydrogen
isotope measurements, physiological fluids must be converted to
hydrogen gas. This gas sample and a reference gas are usually
introduced into the ion source through the inlet system. The inlet
system matches the pressures between sample and reference gas. The gas
molecules are presented sequentially through capillary leak lines into
the ion source, which is under high vacuum. In the source, the gas
molecules are ionized by electrons from a filament wire. Some of the
molecules lose an outer electron and become positively charged.
Repelling electrodes force these ions through a series of focusing
lenses into the analyzing part of the mass spectrometer. A magnet is
used to deflect the molecular ions according to their masses. Each mass
has different ion beams and separated into specific collectors.
A detectable electron current is discharged, and the ratio of these ion
currents is measured and directly related to the isotope ratio.
The isotope enrichment is expressed as the difference between the
observed ratio of the sample and the reference gas in delta per mille.
Calculations.
The dilution spaces were calculated from the equation
where N is dilution space, expressed in grams, W is the
mass of water used to dilute the dose, A is the dose administered, a is
the mass of the dose used in preparing the diluted dose, f is the
fractionation factor for the physiological sample,
a is
the measured value for the diluted dose,
t is the value
for the tap water used in the dilution,
s is the value
for the post-dose physiological sample, and
p is the
value for the predose physiological sample (5).
Statistics.
Mean volumes (± SD) were used, and results were evaluated by
regression analysis and Mann-Whitney U-test. A P value
<0.05 was considered to indicate statistical significance.
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RESULTS |
The average coefficient of variation within subjects was 0.49%
for EQ and 0.79% for CR, indicating a high reproducibility with both
techniques. Corresponding precisions were 0.98 and 1.58%, respectively.
Variabilities between calculated and measured weights.
The highest variability when using EQ was measured at the lower volume
range (Table 1, Fig.
1A). The
variability when using CR was somewhat greater (Table 1, Fig.
1B). The differences between EQ and CR were, however, not
statistically significant.

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Fig. 1.
Differences between calculated and measured volumes,
expressed in %, for various volume sizes. Individual values are
presented using equilibration (EQ; A) and chromium reduction
(CR; B).
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Correlation between calculated and measured weights.
The relationship between calculated and measured volumes, using EQ, was
highly correlated (R2 = 1.0) and
could be expressed by the equation
Vcalculated = 0.433 + 1.004 × Vmeasured (r = 1.0). The same
relationship, using CR, was described according to the expression
Vcalculated =
37.31 +1.01 × Vmeasured (r = 1.0), where V is
volume. Regression lines for EQ and CR are presented in Fig.
2A and 2B.

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Fig. 2.
Relationships between measured and calculated fluid
volumes obtained by EQ (A) and CR (B) techniques
are shown. The regression equation for EQ determinations was
Vcalculated = 0.433 + 1.004 × Vmeasured (r = 1.0) and, for CR analysis,
Vcalculated = 37.31 +1.01 × Vmeasured (r = 1.0), where V is
volume.
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DISCUSSION |
The most important findings in this study were that GIRMS, using
deuterium as a tracer, resulted in precise fluid volume determinations of small as well as large fluid spaces and that the reproducibility was
0.49% (mean) when using EQ and 0.79% when using CR. In addition, the
CR technique requires samples of only 2 µl compared with the EQ
technique in which 5 ml are needed. This opens up possibilities for the
use of CR in neonates not only for single samples but also for serial
tests and invites a more frequent clinical use of this technique
whenever accurate determinations of body fluid volumes are needed.
The difference in reproducibility between EQ and CR techniques was
small. It can therefore be argued that the techniques are interchangeable. The intercept, from regression analysis of
37 when
using the CR technique compared with 0.43 using the EQ technique, may
result in an unacceptable deviation between measured and calculated volumes when using CR. Thus the error caused by the intercept is
insignificant for large volumes, which means that deviations from
measured volumes are almost identical with the slope of the regression
lines, i.e., 1.004 using EQ and 1.01 using the CR technique, which
means a mean variability of 0.4% in the adult using EQ and of 1.0%
using CR. On the basis of these results, the two techniques, EQ and CR,
are both acceptable and fulfill high demands on precision and
reproducibility in large fluid volumes. Even for small volumes of 1,000 ml, the CR technique results in a deviation of 3%, which is acceptable.
GIRMS is a technically advanced method, expensive to purchase,
maintain, and run. Also, it requires a specially trained operator. It
can be questioned whether this currently is an apparatus for clinical
use. Alternatives may be more versatile, rapid, portable, and easy to
use bedside. Bioimpedance (BIA) is one alternative. BIA measurements of
TBW have between-measurement variations of 2-4 liters in an adult
patient, i.e., a variability between 5 and 10% at a volume of 40 liters (6). BIA can therefore only detect relatively large
intraindividual changes and may be best suited for quantification of
group changes. Another alternative method is infrared
spectrophotometric determinations of deuterium. This approach, however,
is not as precise as GIRMS, with a mean precision of 2.5% using
repeated measurements of the same sample (7). The stable
isotope, 18O, could also be used for determinations of body
fluid spaces. It has been shown that the deuterium dilution space is
~2% larger than that with 18O in adult patients and
~3% larger in premature infants (9). This is probably
because deuterium participates in the nonaqueous exchange to a greater
extent than does 18O (2). This is explained by
the fact that the water-to-protein ratio is on the order of 3:1 in
adults and 5:1 in neonates (3). Thus there are advantages
with use of 18O determinations of body fluid volumes. These
measurements of 18O require the same GIRMS technique as
with deuterium, but 18O is more expensive. 18O
is, however, an excellent alternative to deuterium for body fluid
measurements. The difference between 18O and deuterium
measurements is systematic, and deuterium is often the tracer used. In
this in vitro study using deuterium and fluids that did not contain any
proteins, there was a low variability of <1% and a good precision
when the clinically more versatile CR technique was applied. Taken
together, the deuterium approach for body fluid volume determinations
is acceptable for studies in humans.
It was interesting to note that deviations from measured volumes were
in most cases positive, indicating that the scale may underestimate
volumes. Also the variability was somewhat greater when using CR
compared with EQ. The differences were small, however, and most
probably of minor clinical importance although all EQ determinations of
small volumes were positive, indicating a systematic deviation that
should be elucidated in future studies. Reduction of water by the use
of chromium instead of zinc, uranium, and perhaps also manganese is
advantageous because the other reduction reagents are known to give a
larger variability (4). This is thought to be due to a
less precise determination when analyzed water contains impurities,
which always occur in biological samples. Hence, the CR technique seems
to be acceptable for measurements of TBW in adult humans; it requires
smaller sample volumes (2 µl) compared with EQ (5 ml), is faster, and
may not be disturbed by fluid samples such as blood, plasma, urine, and
spinal fluid that contain organic material (10).
In conclusion, both small and large fluid volume determinations using
GIRMS with deuterium as a tracer were reproducible with low
coefficients of variation; they are also precise and accurate. CR of
water seems to be acceptable for clinical use compared with other
reductive metals. The EQ technique requires more time and larger sample
volumes. The potential for the use of stable isotopes such as deuterium
and 18O as tracers in future studies of neonates and
adults, focused on various body water spaces, body composition, and
energy expenditure with relation to anesthesia, surgery, and intensive
care, is promising.
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ACKNOWLEDGEMENTS |
The study was supported by grants from the Swedish Medical Research
Council (10401).
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FOOTNOTES |
Address for reprint requests and other correspondence: T. Hedestig, Dept. of Anesthesia and Intensive Care, Karolinska Hospital, S-171 75 Stockholm (E-mail:
thore.hedestig{at}kirurgi.ki.se).
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 16 October 2000; accepted in final form 10 April 2001.
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