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1Center for Perinatal Research and Division of Neonatology, 2Department of Pediatrics, Loma Linda University School of Medicine, Loma Linda, California
Submitted 17 November 2006 ; accepted in final form 16 May 2007
| ABSTRACT |
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methemoglobin; hypoxia; nitric oxide
Plasma nitrite concentrations are in the low-to-intermediate nanomolar range across a range of mammalian species (8, 26). They reflect a balance between production and entry of nitrite into the circulation, on one hand, and removal of nitrite from the circulation, on the other, a relationship summarized as follows
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Methemoglobin (MetHb), the oxidized (ferrihemoglobin) form of hemoglobin, normally constitutes <1% of total hemoglobin. MetHb is formed by a number of different oxidizing reactions, including the nitrite-deoxyhemoglobin or nitrite-HbO2 reaction, both of which are thought to result in a 1:1 stoichiometry of nitrite loss to MetHb production (for review see Ref. 23), making MetHb a useful indicator of the nitrite-hemoglobin reaction. MetHb is reduced back to hemoglobin by a complex of MetHb reductase enzymes; thus MetHb levels represent a balance between ongoing hemoglobin oxidation and MetHb reduction (22).
This work was undertaken in an attempt to relate the previous work of investigators using purified, completely deoxygenated or oxygenated hemoglobin in buffered solutions with the more physiological conditions of whole blood and mixtures of HbO2 and deoxyhemoglobin to study the nitrite-hemoglobin reaction. In vivo experiments were performed to measure the kinetic constants that characterize the handling of sodium nitrite infused as a bolus into the central circulation of newborn lambs. The experiments were performed under systemic normoxia and hypoxia to evaluate the effects of oxygenation on whole body nitrite metabolism. In addition, to separate the role of nitrite metabolism in the blood from that in the tissues, the kinetic experiments were repeated in isolated whole blood in vitro, and these studies were carried out under low (<10% hemoglobin saturation), mid (45–50%), and high (<95%) levels of oxygenation. Because the nitrite-HbO2 or nitrite-deoxyhemoglobin reaction results in MetHb, molar comparisons of nitrite disappearance and MetHb production were studied to assess the portion of nitrite's disappearance that could be attributed to reactions with hemoglobin at the various levels of oxygenation.
| METHODS |
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In vivo study protocol.
Each lamb was studied twice, during normoxia and hypoxia, with the order of study varied arbitrarily. For normoxic studies, the fraction of inspired O2 (FIO2) was
0.35; for hypoxic studies, 0.12–0.14 FIO2 was achieved by admixture of nitrogen into the ventilator circuit.
After instrumentation and 30–60 min of stabilization, blood samples were collected for measurement of baseline plasma nitrite concentration and percent MetHb. Then 10 mg/kg (0.144 mmol/kg) sodium nitrite (Sigma-Aldrich, St. Louis, MO) was dissolved in 5 ml of saline and infused into the central circulation over a 20-s period. Sample collection was timed from the midpoint of the infusion. Arterial blood samples were collected at 12 sequential time points: –10, –5, 1.5, 3, 6, 10, 15, 20, 40, 60, 80, and 120 (nitrite) or 160 (methoxyhemoglobin) min. FIO2 was changed after 2 h, and after a 60-min stabilization period the study was repeated at the alternate level of oxygenation.
Mean arterial pressure and pulmonary arterial pressure were recorded continuously using calibrated pressure transducers (COBE Laboratories, Lakewood, CO). Data were recorded using an analog-to-digital converter system (Powerlab, ADInstruments, Otago, New Zealand) and data acquisition software (Chart version 5.2, ADInstruments). Exhaled NO was measured continuously in air sampled at the proximal end of the endotracheal tube by chemiluminescence, with a lower limit of detection below 10 ppb.
Each time a blood sample was obtained, 1.5 ml of arterial blood were collected into a heparinized syringe. About 0.4 ml of the sample was analyzed for blood gases and pH (model ABL5, Radiometer, Copenhagen, Denmark) and percent HbO2 saturation and MetHb concentration (OSM2 hemoximeter, Radiometer). Another 0.4 ml of the sample was injected directly into 0.1 ml of nitrite stop solution on ice containing 0.8 M ferricyanide, 0.1 M N-ethylmaleimide, and 10% Nonidet P-40, and the sample was vortexed and immersed in liquid nitrogen. The remainder of the sample was immediately centrifuged for 1 min at 4,500 rpm, and 0.4 ml of the resulting plasma layer was decanted into 0.1 ml of nitrite stop solution, vortexed, and frozen in liquid nitrogen. All samples collected for nitrite analysis were stored at –70°C until the day of analysis. Lambs were given 20 ml of adult sheep blood during the period between the two study protocols.
To test the accuracy of our hemoximetry measurements of MetHb in the presence of nitrosylhemoglobin (HbNO), two samples of human whole blood were prepared and mixed in various known proportions. One sample of blood was completely deoxygenated (HbO2 < 1%, PO2 < 1 Torr) by equilibration with 95% N2-5% CO2 followed by addition of 1 mM sodium dithionite and then equilibrated with a threefold molar excess of pure NO gas. This procedure resulted in 96.7% HbNO and 3.3% MetHb, as determined by spectrophotometric analysis of the blood across a spectrum of 450–700 nm (Synergy HT, Biotek Instruments, Winooski, VT) followed by fit to standard spectra (provided by Dr. Kim-Shapiro, Wake Forest University). The second sample was prepared by addition of a 10-fold molar excess of sodium nitrite to the deoxygenated blood, resulting in 88% MetHb. Under strict anaerobic conditions, various ratios of the two blood samples were mixed, stirred, and analyzed immediately for percent MetHb. A plot of percent MetHb measured by hemoximetry vs. that expected on the basis of dilution yielded a direct linear relationship with slope = 0.99, intercept = –1.4, r = 0.998, and P < 0.001. A similar procedure in which 100% MetHb whole blood was added in varying proportions to carboxyhemoglobin (COHb) blood also yielded a similar linear relationship: slope = 1.00 and r = 0.994. Thus the presence or absence of HbNO did not alter the validity of percent MetHb readings throughout the study.
To determine whether baseline pulmonary arterial pressures in normoxic lambs could be lowered, a separate group of similarly instrumented newborn lambs (n = 3) was studied. After 30 min of normoxia to establish baseline pulmonary arterial pressures, inhaled NO gas (iNO Therapeutics) was administered at 80 ppm for 30 min.
In three experiments, the blood volume of the lamb was measured as described by Coburn et al. (3). For this procedure, 15 ml of blood were withdrawn, equilibrated with pure CO to convert all hemoglobin to COHb, tonometered with nitrogen to remove dissolved CO, and then reinfused. The increase of measured circulating percent COHb after infusion, together with hematocrit, enabled us to calculate the red cell mass and blood volume of the lambs.
Kinetic measurements in vitro. Venous blood was collected in heparinized syringes from adult sheep. Blood at three levels of HbO2 saturation was prepared: low (<10%), mid (45–50%), and high (<98%). To reduce HbO2 saturation, samples were repeatedly equilibrated in a gas tonometer with a head space of 95% N2-5% CO2. To increase HbO2 saturation, samples were equilibrated with room air in a gas tonometer.
Thirty milliliters of each blood sample were placed in a sealed flask maintained in a water bath at normal sheep body temperature (39°C). After collection of two baseline samples, 1.0 mg of sodium nitrite (14.4 µmol) dissolved in 0.5 ml of saline was introduced. Inasmuch as hemoglobin concentration ranged from 8–10 g/dl, this resulted in a
1:3 nitrite-to-hemoglobin tetramer molar ratio, which is equivalent to a 1:12 nitrite-to-heme molar ratio. In whole blood experiments, hematocrit concentrations ranged from 35 to 41%, resulting in intraerythrocytic nitrite-to-hemoglobin ratios of
1:9 and nitrite-to-heme ratios of 1:36, with the assumption that plasma and erythrocytic nitrite concentrations were equal.
In a separate series of experiments to determine the effects of the erythrocyte membrane, 30-ml samples of blood were hemolyzed by two cycles of freezing in liquid nitrogen followed by thawing in warm water. After hemolysis, the nitrite experiments were carried out as described above for whole blood samples.
Blood samples (1.3 ml) were collected anaerobically from the sealed flask at –10, –5, 1.5, 3, 6, 10, 15, 20, 40, 60, and 80 min relative to the nitrite injection. Percent HbO2 and MetHb were determined by hemoximetry, and the remaining blood was processed in stop solution for measurement of nitrite concentrations (see above).
Nitrite assay procedure. Whole blood mixed with nitrite stop solution was deproteinized with 1:1 (vol/vol) methanol and spun at 15,000 g for 2 min, and 10–200 µl of the supernatant were measured by reductive chemiluminescence with sodium iodide (280i NO analyzer, Sievers, Boulder, CO). Plasma was injected directly into the chemiluminescence analyzer without deproteinization.
Cumulative nitrite disappearance and MetHb production calculations. The moles of nitrite that disappeared over each sampling interval were calculated by multiplying the difference in measured nitrite concentration at the beginning and end of each interval by the blood volume. MetHb production was calculated in the same manner, but with an added correction factor to account for the reduction of MetHb by MetHb reductase. The correction was made for each sampling interval by use of a first-order rate constant for MetHb reduction of 0.011 ± 0.001 min–1 (n = 6), corresponding to a biological half time of 63 min, as previously determined for adult sheep blood in our laboratory (unpublished data).
Data analyses. Mean arterial blood pressure and pulmonary arterial blood pressure were captured at a rate of 200 samples/s and then averaged into 5-min intervals. Significant differences between control and hypoxic experiments and between baseline and post-nitrite injection periods were detected by two-way ANOVA with Bonferroni's post hoc analysis for comparison of individual time points (GraphPad Prism 4.0 for Windows, GraphPad Software, San Diego, CA).
Calculated values for the disappearance of nitrite and production of MetHb over time were fit to the following hyperbolic equation: y = (A * t)/(B + t), where y is the cumulative nitrite disappearance or MetHb production in micromoles, A is the maximum cumulative amount of nitrite or MetHb consumed or produced, t is time relative to the addition of nitrite, and B is the nitrite or MetHb concentration at half the time required for disappearance of all the nitrite. Derivatives over the first 30 s of these fitted equations from each experiment were taken as the initial rates of nitrite disappearance or MetHb production.
| RESULTS |
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![]() | (2) |
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The plasma clearance rate (PCR) was calculated using the Steward-Hamilton equation as previously described (40)
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[NO2–]dt is equal to A1/A2 + A3/A4 in terms of parameters of the analytic procedure. This procedure takes into account the tail of the concentration-time curve that extends beyond the time of measurement. The rate constant for disappearance of nitrite from the plasma, kd, was calculated as follows: kd = PCR/Vdist. The apparent half time for the loss of nitrite was calculated as 0.693/kd.
Six lambs at 5 ± 1 days of age and weighing 5.21 ± 0.37 kg were studied. Each lamb received one nitrite injection during normoxia and one during hypoxia. Three lambs were studied first during hypoxia and then during normoxia, and the remaining three lambs were studied in the reverse sequence.
There were no significant differences in baseline hemoglobin concentration, percent MetHb, or pH between normoxic and hypoxic experiments (Table 1). During hypoxia, mean baseline PO2 was 40 ± 5 Torr and HbO2 saturation was 66 ± 8%; during normoxia, mean baseline PO2 was 125 ± 15 Torr and HbO2 saturation was 99.7 ± 0.1%.
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The effect of nitrite on mean systemic pressures was studied in a total of nine animals (Fig. 3). Blood pressure decreased from baseline of 82 ± 4 and 76 ± 6 mmHg during normoxia and hypoxia to nadirs of 63.6 ± 4.8 and 48.8 ± 4.6 mmHg, respectively, within 5 min of infusion. Pressures then gradually increased throughout the remainder of the experiment, approaching baseline values 45 min after nitrite infusion. The overall decrease in blood pressure was greater during normoxia than during hypoxia (P < 0.05), but post hoc analysis did not indicate significance at any particular time point.
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Nitrite metabolism in vitro. To separate extravascular reactions of nitrite from reactions in blood, measurements were repeated using blood in sealed flasks at hemoglobin concentrations, pH, and temperature nearly identical to those in the lamb experiments. Blood was studied at three oxygenation states: low (HbO2 = 5.3 ± 0.9%), mid (HbO2 = 49.9 ± 1.3%), and high (HbO2 = 98.1 ± 0.1%). Baseline blood gases, hemoglobin, HbO2, and MetHb values are shown in Table 3.
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Mass balance comparison of nitrite loss and MetHb production. To compare the disappearance of plasma nitrite with MetHb production on a mole-per-mole basis, cumulative disappearance (nitrite) or production (MetHb, reported as µM ferriheme) was summed over each of the sampling intervals (Fig. 5A). MetHb production values were corrected for MetHb reductase activity (see METHODS). During the first 10 min of normoxia and hypoxia in vivo, the ratio of nitrite disappearance to MetHb production was variable (Fig. 5B), with as much as a fivefold greater nitrite disappearance per MetHb production. After 10 min, however, the ratio remained relatively stable and was not significantly different between normoxia and hypoxia, averaging 0.8 ± 0.1 mol of nitrite disappearance per mole of MetHb production during normoxia and 0.7 ± 0.1 mol of nitrite per mole of MetHb during hypoxia.
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| DISCUSSION |
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0.08 min–1, a half time of
8 min, and an apparent Vdist two- to threefold greater than blood volume. These parameters are not significantly altered by moderate systemic hypoxia. Similarly, increases in MetHb following nitrite infusion are not altered by systemic hypoxia. By contrast, the disappearance from blood in vitro is monophasic in nature, and the rate of disappearance is significantly increased when HbO2 saturations are
50% compared with
0% and 100%. Finally, more than one MetHb is produced per nitrite equivalent under mid- and high-oxygenation conditions. Under low-oxygenation conditions, however, significantly less than one MetHb is produced per nitrite molecule. These findings suggest significant nitrite metabolism by pathways that do not involve hemoglobin oxidation or, alternatively, that MetHb is reduced by fast mechanisms not attributable to MetHb reductase. Mass balance assessments of nitrite disappearance and MetHb production. The stoichiometry of the nitrite-deoxyhemoglobin or nitrite-HbO2 reaction has been previously determined using purified and completely oxygenated or deoxygenated hemoglobin in buffer solutions and excess or equivalent concentrations of nitrite. Under these conditions in vitro, nitrite reacts with HbO2 on a mole-for-mole basis, resulting in the production of one MetHb per nitrite equivalent consumed (28). Similarly, nitrite reacts with purified deoxyhemoglobin to produce NO, again resulting in the production of one MetHb for each nitrite equivalent consumed (1, 17, 18). In whole blood, however, quantification of MetHb production in relation to nitrite disappearance is complicated by the action of MetHb reductase enzymes within the red blood cells, which reduce MetHb back to deoxyhemoglobin (22).
In the present work, we have taken into account the MetHb reductase activity in our stoichiometric assessment of the nitrite-hemoglobin reaction. Using this correction for the in vitro experiments, we observed production of significantly more than one MetHb equivalent per nitrite equivalent at
50% and 100% HbO2 saturation. These findings can be explained on the basis of previously reported stoichiometry of the hemoglobin-nitrite reaction (Fig. 7A) that allows for the production of up to two MetHb equivalents for each nitrite when deoxyhemoglobin is a substrate. The first MetHb results directly from the reduction of nitrite to NO by deoxyhemoglobin. NO may then react with HbO2 to form the second MetHb and nitrate. This explanation requires that nitrite reacts preferentially with deoxyhemoglobin, rather than HbO2, even at high HbO2 saturations, an assumption supported by the kinetics of the nitrite-HbO2 reaction. When it is present at high concentrations (equal to or in excess of hemoglobin), nitrite is oxidized to nitrate, with an initial slow lag phase exhibiting a half time on the order of hours followed by a rapid autocatalytic phase (27). However, under the conditions of the present studies (nitrite concentration less than half that of hemoglobin), it is reasonable to assume, on the basis of previous reports (33), that the nitrite-HbO2 reaction never entered the rapid autocatalytic phase. As a result, the predominant pathway of nitrite disappearance was likely its reduction to NO by deoxyhemoglobin, a reaction that exhibits a nitrite half time on the order of minutes, rather than hours (17, 23). The resulting intraerythrocytic NO is then presumed to react with HbO2 and deoxyhemoglobin at the diffusion-limited rate of 2–8 x 107 M–1·s–1 (2, 9, 11, 35), resulting in one additional MetHb.
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10% HbO2) at 1:1 concentration ratio with nitrite (17). There are a number of possible explanations for this discrepancy. One possibility is that nitrite is lost during our sampling-and-assay procedure, resulting in underestimation of true nitrite concentrations. However, this does not seem likely, given the stability of nitrite in the stop solution (8) and because the calculated volume of distribution for the in vitro experiments was nearly identical to the actual blood volume in the flask, which would not have occurred if nitrite were lost. Also, the kinetics of nitrite disappearance were not altered in lysed blood, ruling out an accumulation of nitrite within the red blood cells that would have been missed with measurements of plasma only. Another possible explanation would be the disappearance of nitrite as a result of reactions that do not produce MetHb. Nitrite can be reduced to NO by the intraerythrocytic enzyme xanthine oxidase (30), although this does not appear to play a role in nitrite-mediated dilation of pulmonary arteries (7). In addition, we found no significant effect of allopurinol, a xanthine oxidase inhibitor, on MetHb production in vitro (data not shown). Interestingly, although nitrite metabolism was not affected by hemolysis, significantly more MetHb was produced hemolyzed blood under the low-oxygenation condition than in whole blood (Fig. 6C), suggesting that erythrocyte membrane integrity is important to the low MetHb-per-nitrite yield at low O2 saturations.
Perhaps a more likely possibility is that MetHb is reduced at a rate that is much faster than the rate we have accounted for. Indeed, consideration of the present data within the framework of reductive nitrosylation as discussed by Fernandez et al. (13) lends credibility to this possibility. The model is based on a reaction termed reductive nitrosylation, wherein ferriheme centers such as MetHb are reduced nonenzymatically by reaction with NO to produce iron-HbNO (Fig. 7), a reaction observed in purified MetHb and whole blood (16, 21). There is recent evidence that nitrite catalyzes this reaction by reacting with the ferric-HbNO complex, resulting in reduction of MetHb to hemoglobin and combination of NO and nitrite to form the NO adduct nitrous anhydride (N2O3) (12). N2O3 is capable of rapidly S-nitrosating proteins such as hemoglobin to form S-nitrosohemoglobin (44), or it can rapidly homolyze into NO and the nitrite radical (31). N2O3 has a half time of
1 ms (14), which is 100 times greater than that of intraerythrocytic NO; therefore, it is a more plausible carrier of NO activity from the interior of the erythrocyte to vascular smooth muscle (20).
Effect of O2 saturation on the rate of nitrite metabolism in vitro.
As demonstrated by the initial rates of reaction for the three different oxygenation levels (Table 4), as well as the time course of nitrite disappearance (Fig. 4A), nitrite metabolism and MetHb production were greatest under mid-oxygenation conditions and slowest under low- and high-oxygenation conditions. These findings are in close agreement with those previously reported (5, 17, 18), which suggest a component of allosteric control of the reaction rate by hemoglobin. This effect is thought to consist of a balance between the mass action effect of deoxyhemoglobin concentrations and the greater reductive potential of fully or three-fourths-O2-saturated hemoglobin. According to this model, the rate of nitrite reduction by deoxyhemoglobin, as a function of O2 saturation, is maximal at
50% saturation (for review see Ref. 15).
It is important to note the often overlooked fact that the chemiluminescence assay used in the present experiments may not be specific to nitrite. As has been noted previously (36), the reductive chemiluminescence method detects NO released from proteins and heme moieties, in addition to the signal generated from nitrite. Therefore, if nitrite were reduced and the resulting NO preserved as S-nitrosated or iron-nitrosylated proteins, the present experiments would underestimate the true rate of nitrite metabolism, particularly under the low-oxygenation condition, in which NO may be preserved as iron-HbNO.
Effects of hypoxia on nitrite pharmacokinetics in vivo.
We hypothesized that nitrite would disappear at a faster rate in hypoxic animals in which arterial HbO2 saturations approached 50%, a range more favorable for the nitrite-hemoglobin reaction (5, 17, 18). Instead, we observed no effect of hypoxia for any of the parameters measured (Table 2, Figs. 3 and 5). The initial disappearance of nitrite from the plasma and the large volume of distribution (
2-fold greater than blood volume) suggest a rapid movement of nitrite from the blood into extracellular fluid, rather than nitrite metabolism. However, even after the rapid phase of nitrite disappearance, the slow phase of disappearance was still not altered by hypoxia. One possible explanation is that reactions in blood are overshadowed by nitrite reactions in peripheral tissues, which do not vary with O2 concentrations. However, this seems contrary to evidence that nitrite is reduced at a faster rate in hypoxic tissues (39). It is also possible that mechanisms responsible for in vivo loss of supraphysiological concentrations of nitrite, such as those administered in the present study, are different from those mediating nitrite concentrations at physiological concentrations. Therefore, the O2-sensitive nitrite-hemoglobin reaction may have been masked by other reactions influencing metabolism of the large dose of nitrite administered in the present studies.
Physiological effects of nitrite during hypoxia. On the basis of recent findings suggesting an important role for nitrite in red blood cell-mediated hypoxic vasodilation, this study was initiated with the hypothesis that the hypotensive effects of nitrite infusion on systemic blood pressure would be more pronounced in hypoxic than in normoxic animals (4, 19). Indeed, the hypotensive effects of nitrite were potentiated by hypoxia (Fig. 3A). These findings are in agreement with previous observations in the lungs and exercising forearm (4, 5, 19) and support the idea that the vasodilating effects of nitrite are O2 sensitive.
We previously reported that inhalation of aerosolized nitrite (nebulization of 300 mg over a 20-min period) selectively lowers hypoxic pulmonary hypertension, with vasodilating effects lasting up to 1 h after the end of the inhalation period (19). The pulmonary vasodilating effect was proposed to be due to nitrite reduction to NO by deoxyhemoglobin in the pulmonary circulation, as evidenced in part by increases of NO in exhaled air. In the present study, intravenous boluses of nitrite during hypoxia also significantly lowered pulmonary arterial pressures for up to 15 min, whereas similar boluses had no effect in normoxic lambs. The lack of decrease during normoxia does not appear to be due to a lack of basal vasodilating capacity, because inhaled NO (80 ppm) resulted in a rapid significant decrease in pulmonary arterial pressure (Fig. 3B). Therefore, although the mechanisms regulating pulmonary vascular tone of normoxic lambs are certainly different from those of hypoxic lambs, the fact that nitrite infusion resulted in pulmonary vasodilation of hypoxic, but not normoxic, lambs supports the O2-sensitive mechanisms of nitrite reduction.
In contrast to previous findings with inhaled nitrite aerosol, measurable (>5 ppb) increases in exhaled NO gas were not observed in the present studies after intravenous nitrite infusion. These results are in agreement with the recent work of Deem et al. (7), who found that perfusion of isolated ventilated rat lungs with 1 mM nitrite in cell-free solution resulted in increased exhaled NO, an effect abolished by addition of red blood cells to the perfusate. Taken together, these findings suggest that exhaled NO measured during nitrite inhalation in the previous study (19) may have been formed extravascularly and is not necessarily evidence of hemoglobin-mediated nitrite reduction.
Recent studies of the role of nitrite during hypoxia-ischemia suggest that it may be of therapeutic benefit in the treatment of pulmonary hypertension (19), posthemorrhagic cerebral vasospasm (37), and myocardial infarction (42). Thus it is worth noting from the present work in lambs that nitrite administered to final plasma concentrations
1,000-fold above physiological levels was well tolerated in terms of methemoglobinemia, one of the clinical concerns of nitrite poisoning. Moderate hypotension was observed and tended to resolve over a matter of 1 h after the bolus infusion. Finally, systemic hypoxia did not appear to exacerbate these effects.
Conclusions. Recent observations that nitrite can potently induce vasodilation in the hypoxic forearm, pulmonary vasculature, heart, and intestine (4, 19, 29, 42), together with observations of the O2-sensitive reduction of nitrite to NO by hemoglobin (5, 17, 18), have led to intense study of the theory that nitrite serves as a circulating NO metabolite capable of releasing bioactive NO in hypoxic tissues. The present observed stoichiometry of nitrite metabolism in whole blood at low levels of oxygenation indicates that reductive nitrosylation may play an important role in the handling of nitrite. In addition, although the nitrite-hemoglobin reaction is O2 sensitive, the kinetic handling of pharmacological doses of nitrite in vivo, as well as effects on arterial blood pressure, is not affected by moderate hypoxia. Further work is necessary to integrate the nitrite-hemoglobin reaction in the complex chemistry of NO and its adducts in vivo.
| GRANTS |
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| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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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.
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