Vol. 91, Issue 4, 1701-1707, October 2001
Normovolemic hemodilution improves oxygen
extraction capabilities in endotoxic shock
Jacques
Creteur,
Qinghua
Sun,
Omar
Abid,
Daniel
De
Backer,
Philippe
Van Der Linden, and
Jean-Louis
Vincent
Department of Intensive Care, Erasme University Hospital, Free
University of Brussels, B-1070 Brussels, Belgium
 |
ABSTRACT |
We studied the effects of normovolemic
hemodilution on tissue oxygen extraction capabilities in a canine model
of endotoxic shock. Eighteen anesthetized and mechanically
ventilated dogs underwent normovolemic hemodilution with 6%
hydroxyethyl starch solution to reach hematocrit (Hct) levels around
40, 30, or 20% before the administration of 2 mg/kg of
Escherichia coli endotoxin. Cardiac tamponade was then
induced by repeated injections of normal saline into the pericardial
sac to reduce cardiac output and study whole body oxygen extraction
capabilities. Whole body critical oxygen delivery was lower in the Hct
20% and 30% groups (8.4 ± 0.4 and 10.4 ± 0.7 ml · kg
1 · min
1,
respectively) than in the Hct 40% group (12.8 ± 0.8 ml · kg
1 · min
1) (both
P < 0.005). The whole body critical oxygen extraction ratio was higher in the Hct 30% and 20% groups (49.1 ± 8.2 and 55.2 ± 4.6%, respectively) than in the Hct 40% group (37.1 ± 4.4 %) (both P < 0.05). Liver critical oxygen
extraction ratio was also higher in the Hct 30% and 20% groups than
in the Hct 40% group. The arterial lactate concentrations and the
gradient between ileum mucosal PCO2 and
arterial PCO2 were lower in the Hct 20% and
30% groups than in the Hct 40% group. We conclude that, during an
acute reduction in blood flow during endotoxic shock in dogs, normovolemic hemodilution is associated with improved tissue perfusion and increased oxygen extraction capabilities.
sepsis; hypoxia; oxygen availability; dog experiment; tonometry
 |
INTRODUCTION |
SEPTIC SHOCK IS
ASSOCIATED with significant alterations in cellular oxygen
utilization (1, 18, 26), even though oxygen delivery
(
O2) to the tissues is typically
maintained or even increased. Microregional zones of hypoxia (8,
23), secondary to microcirculatory disturbances
(12), have been incriminated in these alterations, in
addition to altered cellular metabolism. A complex interaction between
an increased release of many mediators, leukocyte activation,
endothelial injury, and interstitial edema has been largely implicated
in this process (30) and may lead to multiple organ
failure (22).
Red blood cell (RBC) entrapment may also participate in these
microcirculatory abnormalities. Arterial hypotension can decrease microcirculatory RBC flow, resulting in a decrease in the perfused capillary density (12) and altered oxygen availability to
the cells. Several studies have also demonstrated increased RBC
stiffness in sepsis (6, 9, 16, 19), rendering the RBC less
deformable for penetrating the microcirculation (13), a
feature that could be explained by several mechanisms, including
oxidation by oxygen free radicals (14), cellular energy
depletion, and increase in intracellular calcium content
(24).
Normovolemic hemodilution may result in beneficial rheological
properties, leading to a better penetration of RBC into the microcirculation (10, 15, 17, 29). In a model of
hemorrhagic shock, our laboratory previously reported (28)
that tissue oxygen extraction capabilities during hemorrhage were
greater when the hematocrit (Hct) was initially reduced. Whether
similar results may be observed in sepsis, when microcirculatory
alterations are present, has not yet been investigated. Therefore, we
tested the hypothesis that normovolemic hemodilution could improve
oxygen extraction capabilities in a canine model of endotoxic shock.
 |
METHODS |
Surgical preparation.
The study project was approved by the animal research committee of the
School of Medicine of the Free University of Brussels. Eighteen mongrel
dogs (22.7 ± 4.3 kg) were anesthetized with pentobarbital sodium
at an initial intravenous dose of 30 mg/kg, followed by a continuous
infusion of 4 mg · kg
1 · h
1
(pump Infusomat II, Melsungen, Germany) through the left forepaw vein.
After endotracheal intubation with a cuffed endotracheal tube, each dog
was mechanically ventilated with room air using a Servo ventilator 900B
(Siemens-Elema, Solna, Sweden). Controlled ventilation was facilitated
with pancuronium bromide given as an initial bolus of 0.15 mg/kg
followed by an infusion of 0.075 mg · kg
1 · h
1. Respiratory
rate was set at 12 breaths/min, and tidal volume was adjusted to obtain
an end-tidal PCO2 between 28 and 34 Torr. These
ventilatory conditions were not changed thereafter. A right femoral
arterial catheter was inserted and connected to a pressure transducer
for arterial pressure monitoring. The right forepaw vein was cannulated
for infusion of normal saline. A balloon-tipped pulmonary arterial
catheter (model 93A-131-7-Fr, Swan-Ganz catheter, Baxter, Irvine,
CA) was inserted through the right external jugular vein under guidance
of pressure waves, as determined from a four-channel monitor (Sirecust
302 A, Siemens, Erlangen, Germany). A left thoracotomy between the
fourth and the fifth intercostal space was performed, with bleeding
controlled by electrocautery. Via a 2- to 3-mm incision in the anterior
pericardium, a 16-gauge polyethylene catheter (Intracath, Deseret
Medical, Sandy, UT) with multiple side holes around the tip was
positioned in the pericardial space with its tip adjacent to the
diaphragmatic surface of the left ventricle. The catheter was secured
with purse-string sutures; 30 ml of warm sterile (37°C) saline were
injected into the pericardial cavity to ensure that there was no
leakage and was then drained before sealing. The thoracic cavity was
then carefully closed in three layers, and a chest tube (Argyle, Trocar
catheter A75, 28Ch-40 cm; Sherwood Medical, Tullamore, Ireland) was
placed through the seventh intercostal space to allow gentle drainage
of the chest. Through a midline laparotomy, a splenectomy was performed
after maximal splenic contraction to 1-mg epinephrine (spread on the surface of the spleen) to prevent autotransfusion during hypotension. Ultrasonic flow probes were placed around the common hepatic artery (3-4 mm), the portal vein (10-12 mm), and the left renal
artery (3-4 mm) for simultaneous measurement of blood flow in
these vessels. In each dog, a multipurpose catheter (5F, Cook,
Bjaerskov, Denmark) was inserted via the right jugular vein into the
superior hepatic vein. Good position was confirmed by direct
hand-feeling on the hepatic vein. A 16-gauge, 20-cm intravenous
catheter (Argyle, Intramedicut, Sherwood Medical) was inserted via the
splenic vein into the portal vein. A tonometer (TRIP, NGS catheter,
Tonometrics, Helsinki, Finland) was placed in the lumen of the distal
ileum via a small antimesenteric enterostomy and secured with a
purse-string suture.
Experimental protocol.
After surgical preparation, the dog was placed in the supine position
and allowed to stabilize for 30 min. The dogs were randomly divided
into three groups: Hct between 39.6 and 43.5% (Hct 40%, n = 6), between 27.6 and 32.1% (Hct 30%,
n = 6), and between 21.0 and 24.5% (Hct 20%,
n = 6). To achieve the three Hct levels, blood was
slowly withdrawn from a femoral artery and simultaneously replaced by
the same volume of a 6% hydroxyethyl starch (HES) solution (200/0.5;
HAES-steril). The pericardial cavity was emptied using a 5-ml syringe
to ensure a slightly negative intrapericardial pressure before the
control measurements (B1) were obtained. The animals then received a
slow intravenous bolus of 2 mg/kg Escherichia coli endotoxin
(055:B5, control no. 3120-10-7; Difco, Detroit, MI), and a
second set of measurements (B2) was obtained 30 min later. A normal
saline infusion was then started and titrated to restore pulmonary
occlusion pressure to baseline. A third set of measurements was
obtained after 30 min (B3). The saline infusion was then kept constant
at a rate of 20 ml · kg
1 · h
1 throughout
the study. Cardiac tamponade was then induced by repeated injections of
normal saline, heated to 37°C, into the pericardial sac. Measurements
were repeated every 15 min thereafter in all animals, except the
tonometry data, which needed 30 min of equilibration time. When the
mean arterial pressure had declined to 20% of the baseline level, the
dog was considered to be in a decompensatory state, the data collection
was ended, and the dog was killed.
Measurements and calculations.
All pressures were determined from a strip-chart recorder (2600S
recorder; Gould, Cleveland, OH) at end expiration. Cardiac index
(ml · min
1 · kg
1) was
measured by the thermodilution technique (cardiac output computer,
COM-2; Baxter) using three to five 5-ml injections of cold (<5°C)
5% dextrose in water. Each injection was started at end inspiration. A
temperature probe was used on-line to control for variations in
injectate temperature. Core temperature was continuously given by the
pulmonary arterial catheter thermistor. During the study, core
temperature was kept constant at its initial level with warming lamps.
Regional blood flow was estimated simultaneously in the common hepatic
artery, portal vein, and left renal artery by a previously calibrated
blood flowmeter (model T208; Transsonic Systems, Ithaca, NY).
Exhaled gases were directed through a mixing chamber for sampling to
measure expired O2 fraction and end-tidal CO2
tension. The oxygen analyzer (P. K. Morgan, Chatham, UK) and the
capnometer (47210A; Hewlett Packard, Waltham, MA) were calibrated
before the experiment. Expired minute volume was measured with a
spirometer (Haloscale Wright respirometer; Edroton, London, UK).
Arterial, mixed venous, hepatic venous, and portal venous blood samples
were simultaneously withdrawn for immediate determination of blood
gases and lactate concentration (ABL 500, Radiometer, Copenhagen,
Denmark; lactate/glucose analyzer 2300 Stat Plus, Yellow Springs
Instruments, Yellow Springs, OH). Hemoglobin concentrations and oxygen
saturations were measured simultaneously (OSM 3 Hemoximeter, calibrated
for dog blood and which uses a spectrophotometry technique for direct
measurement of hemoglobin oxygen saturation; Radiometer).
To determine ileal mucosal PCO2
(PiCO2), the tonometry catheter was prepared
according to the manufacturer's instructions and filled with 2.5 ml of
saline solution. After an equilibration time of 30 min, 1 ml of
dead-space volume was aspirated from the catheter and discarded. The
remaining saline solution was then aspirated and analyzed for
PCO2 (ABL 500, Radiometer). The
PiCO2 was then obtained by multiplying the
measured saline PCO2 by 1.24, the time
equilibration factor determined by the manufacturer for an
equilibration time of 30 min. The mucosal-arterial
PCO2 gradient (PCO2 gap) was calculated as the difference
between PiCO2 and arterial blood
PCO2.
Whole body
O2 was calculated as the
product of arterial oxygen content and cardiac index. Whole body oxygen
uptake (
O2) was measured from the
expired gases as previously described (31). Hepatic and
portal
O2 were calculated as the product
of their regional blood flow and their regional oxygen content of the
hepatic artery and the portal vein, respectively. Liver
O2 was calculated as the sum of the
hepatic artery
O2 and the portal vein
O2 (21). Hepatic and portal
O2 were calculated as the product of the
corresponding blood flow by the corresponding oxygen difference (arterial-hepatic venous and portal-hepatic venous oxygen contents, respectively). Liver
O2 was calculated
as the sum of the hepatic artery and the portal vein
O2 (21). Oxygen extraction
ratio was derived from the ratio of
O2
to
O2
(
O2/
O2).
Statistics.
In each animal, the determination of the whole body and liver
critical
O2
(
O2 crit) was obtained from a
plot of
O2 vs.
O2 using the method described by Samsel
and Schumaker (20).
O2 crit was defined as the point of
intersection of two best-fit regression lines as determined by a least
sum of squares technique. Paired sets of linear regressions were
calculated for all possible combinations of points separated into low
(supply dependent) and high (supply independent)
O2 groups. Points were constrained to
fall on either regression line but not on both. The pair of regressions
with the lowest sum of standard errors of estimate was taken as the set
that best fit the data. The values of
O2
and
O2 at the intersection point were
then calculated using the two regression equations and were called
O2 crit and
O2 crit, respectively. As
O2 and
O2
were derived from independent techniques of measurement, oxygen
extraction ratio at critical point (ERO2 crit)
was calculated by dividing
O2 crit by
O2 crit. An example is shown in Fig. 1. Statistical analysis included an ANOVA
for repeated measurements followed by Dunnett's test. The difference
in the slopes of
O2/
O2 was
tested by an analysis of covariance. A P value < 0.05 was considered statistically significant. All values are expressed as
means ± SD.

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Fig. 1.
Relation between whole body O2 uptake
( O2) and whole body O2
delivery ( O2) in a hematocrit (Hct) of
40% in dog 6. Lines are dual-regression lines, and
the point of intersection of these lines defines the whole body
critical O2
( O2 crit) and the corresponding whole
body critical O2
( O2 crit).
ERO2 crit, critical O2
extraction ratio. See METHODS for explanation of Hct
groups.
|
|
 |
RESULTS |
Hemodilution procedure.
The amount of blood withdrawn was 320 ± 120 ml in the Hct 40%
group, 470 ± 180 ml in the Hct 30% group, and 1,120 ± 310 ml in the Hct 20% group. As shown in Table
1, Hct levels at baseline were 41.4 ± 1.9, 30.8 ± 2.2, and 22.2 ± 1.8%, respectively. At baseline, cardiac index and regional blood flows were significantly greater in the Hct 20% group than in the Hct 40% group (Figs. 2 and 3).
Nevertheless, systemic
O2 was
significantly lower in the Hct 20% group than in the two other
groups (Fig. 2).

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Fig. 2.
Changes in mean arterial pressure (MAP), cardiac index (CI), and
whole body O2 in relation to incremental
changes in intrapericardial pressure (IPP) in the 3 groups of animals.
B1, baseline; B2, 30 min after endotoxin; B3, 30 min after fluid
resuscitation. Values are means ± SD. * P < 0.05 vs. Hct 40% group.
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|

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Fig. 3.
Changes in regional blood flow ( ) during incremental changes
in IPP in the 3 groups of animals. port, Portal vein; hep art, hepatic
artery; ren, renal artery. Values are means ± SD.
* P < 0.05 vs. Hct 40% group.
|
|
Effects of endotoxin.
Endotoxin administration resulted in sharp decreases in arterial
pressure, cardiac index, systemic
O2,
and regional blood flows, whereas blood lactate levels increased (Figs.
2, 3, and 4, respectively). After initial
fluid resuscitation, arterial pressure remained low, but cardiac index,
systemic
O2, and regional blood flows
increased and systemic vascular resistance decreased, reflecting a
hyperdynamic state (Figs. 2 and 3; Table
2).

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Fig. 4.
Changes in arterial lactate concentration and
mucosal-arterial PCO2 gradient
(PCO2 gap) in relation to incremental
changes in IPP in the 3 groups of animals. Values are means ± SD.
* P < 0.05 vs. Hct 40% group.
|
|
Effects of cardiac tamponade.
Mean arterial pressure was similar in the three groups throughout the
study (Fig. 2). Cardiac tamponade resulted in a progressive decrease in
cardiac index and regional blood flows (Figs. 2 and 3). Cardiac index
and portal, hepatic, and renal arterial blood flows remained higher in
the Hct 20% group than in the other groups in the early phase but
converged to similar values in the late phase of cardiac tamponade
(Figs. 2 and 3).
O2 remained lower in
the Hct 20% and Hct 30% groups than in the Hct 40% group (Fig. 2).
O2 crit was significantly different in
the three groups (Hct 40% group: 12.8 ± 0.8 ml · kg
1 · min
1; Hct 30%
group: 10.4 ± 0.7 ml · kg
1 · min
1; Hct 20%
group: 8.4 ± 0.4 ml · kg
1 · min
1; Fig.
5). In the absence of significant
differences in whole body
O2 crit,
whole body ERO2 crit was significantly higher
in the Hct 20% (55.2 ± 4.6%) and in the Hct 30% groups (49.1 ± 8.2%) than in the Hct 40% group (37.1 ± 4.4%)
(Fig. 5). Liver ERO2 crit was also higher in
the Hct 20% and Hct 30% groups than in the Hct 40% group (60.2 ± 3.1, 56.1 ± 2.3, and 42.7 ± 1.8%, respectively; Fig.
6). In the late stages of cardiac
tamponade, the Hct 20% and Hct 30% groups had lower arterial lactate
levels and a lower PCO2 gap than the Hct 40%
group (Fig. 4). The slopes of the systemic
O2/
O2
relationship during the dependency phase were significantly higher in
the Hct 20% and Hct 30% groups than in the Hct 40% group (58 ± 6, 46 ± 8, and 34 ± 8%, respectively; P < 0.05 among groups).

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Fig. 5.
Individual (points) and mean (horizontal line) whole body
O2 crit,
O2 crit, and
ERO2 crit in the 3 groups of dogs.
|
|
There was no significant difference among the three groups in the total
amount of intravenous fluids required (2.9 ± 0.6 liters in the
control group vs. 3.1 ± 0.9 and 2.8 ± 0.9 liters in the different groups, P = not significant).
 |
DISCUSSION |
The main finding of our study is that normovolemic hemodilution
can increase oxygen extraction capabilities in endotoxic shock. Normovolemic hemodilution to a Hct of 20% was associated with an
improvement in tissue oxygen extraction capabilities, both systemically
and regionally in the liver, as indicated by a significantly lower
O2 crit and a higher
ERO2 crit in the lower Hct
groups. The higher slopes of systemic
O2/
O2
relationships during the dependency phase in the lower Hct groups than
in the Hct 40% group reflect this improvement in oxygen extraction
capabilities. Van der Linden et al. (28) previously
demonstrated in our laboratory that normovolemic hemodilution improves
tissue oxygen extraction capabilities during acute hemorrhage in
anesthetized dogs. The present study extended these observations to
endotoxic shock, a situation in which microcirculatory alterations are
more complex (12). The model used was slightly different
because we used cardiac tamponade in lieu of progressive controlled
hemorrhage to reduce cardiac output, but De Backer et al.
(2) previously reported that the relation between
O2 and
O2
is similar in these two dog models.
Although we did not study the precise mechanisms involved, normovolemic
hemodilution must have resulted in beneficial rheological properties,
leading to a better penetration of RBC in the microcirculation. The
principal effect of hemodilution on the microcirculation is an increase
in blood velocity, which helps to maintain the RBC flux in the
capillaries down to a Hct of ~25% (15, 17). Mirhashemi et al. (17) reported that RBC flux was not significantly
altered in the subcutaneous tissue of the Syrian hamster skinfold when hemodilution reached 50% and systemic Hct was ~25%. Capillary RBC
velocity increased by 60%, and capillary Hct decreased by 30%, with
both of these changes being statistically significant. Using intravital
microscopy, Lindbom et al. (15) studied the effects of
acute normovolemic hemodilution with dextran on microvascular RBC flow
in the tenuissimus muscle of the rabbit. Whereas the systemic Hct
decreased from 50%, capillary Hct, measured by video densitometric
methods, decreased by only 20%. A 45% increase in RBC velocity
compensated for the decrease in capillary Hct so that the RBC flux,
calculated from RBC velocity and capillary Hct, remained unchanged. It
is thus well established that Hct can fall to values as low as 20%
without a significant decrease in the RBC capillary flux.
A more homogeneous distribution of microcirculatory perfusion after
normovolemic hemodilution also seems to be a key mechanism for the
preservation of tissue oxygenation. Vicaut et al. (29) studied the effects of changes in Hct on the microcirculation. Even
though the number of capillaries containing RBCs was not significantly
influenced, the number of capillaries with no flow or low flow was
reduced after hemodilution, suggesting a more homogeneous capillary
perfusion. Arteriolar diameter was not significantly altered so that
changes in vascular tone were unlikely to contribute. Hutter et al.
(10) used radioactive microspheres to study blood flow
distribution of skeletal muscle during normovolemic hemodilution in
dogs. Although cardiac index increased during the procedure,
O2 to skeletal muscle was reduced to
74% of baseline. Nevertheless, tissue PO2 was
preserved. Heterogeneity of muscle perfusion (relative dispersion of
perfusion) was reduced, again suggesting an homogeneous distribution of
muscle perfusion after hemodilution.
Another factor operating to preserve tissue oxygenation during
hemodilution may be a reduced oxygen loss by precapillary diffusion. Duling and Berne (3) showed that there can be a loss of
oxygen from arterioles by precapillary diffusion either to surrounding tissue or to parallel veins in close proximity. This oxygen "leak" or diffusive shunt is determined by the PO2
gradient between the vessel and the surrounding tissue or parallel
veins. By shortening the transit time, an increase in RBC velocity may
reduce the loss of oxygen before the capillaries and thereby improve
oxygen transfer to the tissues.
The type of solution used in the normovolemic hemodilution procedure,
and especially its molecular weight (MW), may influence erythrocyte
rheology. The effects of HES on erythrocyte aggregation depend on their
in vivo MW, as large molecules, such as fibrinogen, can form bridgelike
structures between the erythrocyte membranes, whereas smaller molecules
can displace the larger molecules and, therefore, decrease aggregation
(25). Treib et al. (25) reported an increased
erythrocyte aggregation for HES with large in vivo MW but a decrease in
erythrocyte aggregation for easily degradable HES 200/0.5 or low-MW HES
70/0.5. Medium- or low-MW HES with a low degree of substitution
resulting in low in vivo MW have better rheological properties
(25). The 6% HES solution used in this study is a
medium-MW HES solution, which is quickly split in vivo into smaller
molecule sizes, resulting in a decrease in blood viscosity
(5). This solution is commonly used clinically to induce
normovolemic hemodilution for faster renal elimination and fewer
adverse effects on coagulation than larger molecules (25).
Sepsis is typically characterized by alterations in microvascular
perfusion due to capillary endothelial cell injury, leukocyte plugging
of capillaries, and the development of interstitial or intracellular
edema leading to a reduced perfused capillary density and an increase
in the diffusion distance for oxygen (12). The reported
decreased RBC deformability in sepsis (6, 9, 16, 19) can
further impair cellular oxygen supply. In a model of experimental
peritonitis in rats, Lam et al. (12) demonstrated a
reduction in perfused capillary density, assessed by intravital microscopy. In these conditions, the rheological effect of hemodilution may be particularly beneficial, as shown in the present study. In a
model of hyperdynamic endotoxic shock, Vallet et al. (27) also observed better tissue oxygenation after hemodilution. Endotoxin administration resulted in a shift to lower values of the frequency distribution of tissue PO2 at the surface of
skeletal muscle. After 30 min of resuscitation with dextran infusion,
mean tissue PO2 was restored close to the
preendotoxin value, but, with continued resuscitation, reaching a Hct
of ~17%, the mean tissue PO2 even increased
above the baseline value.
Normovolemic hemodilution may influence the distribution of blood flow
to the tissues. Using the microsphere technique, Fan et al.
(4) reported, during normovolemic hemodilution in dogs, a
selective increase in blood flow to the myocardium and the brain but a
stable blood flow to the liver, the intestine, and the kidney. In our
study, there was no evidence of interorgan blood flow redistribution after normovolemic hemodilution because hepatic arterial, portal venous, and renal blood flows increased in proportion to the increase in cardiac index. Nevertheless, at the end of the cardiac tamponade, despite a very low-flow state leading to lower global
O2 in the Hct 20% and 30% groups, the
PCO2 gap was lower in these groups than in the
Hct 40% group. A lower PCO2 gap suggests a
better balance between ileum mucosal oxygen supply and metabolism, which can here only be explained by a selective improvement in gut
mucosal perfusion, and a subsequently better CO2 removal. Similarly, Kleen et al. (11), during normovolemic
hemodilution to a Hct level of ~20% in dogs, observed, using
radioactive microspheres, a selective increase in gut mucosal
perfusion, indicating a favorable redistribution of blood flow within
the intestinal layers. We also observed, in the late stages of cardiac
tamponade, lower arterial blood lactate concentrations in the Hct 20%
and 30% groups than in the Hct 40% group. Even though hypoxia may not
be the only cause of hyperlactatemia in endotoxic shock
(7), in our model, the lower lactate concentrations in the
lower Hct groups were likely explained by a better tissue oxygenation.
Accordingly, a lower PCO2 gap as well as lower
lactate concentrations were likely to reflect improved tissue
oxygenation in the lower Hct groups during the reduction in blood flow.
Our study demonstrates that normovolemic hemodilution down to Hct
levels as low as 20% improves oxygen extraction capabilities during
endotoxic shock and may even benefit tissue oxygenation. As long as
cardiac output can be increased or sustained, Hct levels between 20 and
30% may be acceptable (or even desirable) in sepsis.
 |
FOOTNOTES |
Address for reprint requests and other correspondence: J.-L.
Vincent, Dept. of Intensive Care, Erasme Univ. Hospital, Free Univ. of
Brussels, Route de Lennik 808, B-1070 Brussels, Belgium (E-mail:
jlvincen{at}ulb.ac.be).
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 20 February 2001; accepted in final form 15 May 2001.
 |
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