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J Appl Physiol 90: 538-544, 2001;
8750-7587/01 $5.00
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Vol. 90, Issue 2, 538-544, February 2001

Steady-state measurement of NO and CO lung diffusing capacity on moderate exercise in men

Colin Borland1, Bryan Mist2, Mariella Zammit3, and Alain Vuylsteke3

1 Department of Medicine, Hinchingbrooke Hospital, Huntingdon, Cambridgeshire PE18 8NT; 2 Department of Cardiological Sciences, St George's Hospital Medical School, Cranmer Terrace, Tooting, London SW17 0RE; and 3 Anaesthetic Department, Papworth Hospital, Papworth Everard, Cambridge CB3 8RE, United Kingdom


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Using a rapidly responding nitric oxide (NO) analyzer, we measured the steady-state NO diffusing capacity (DLNO) from end-tidal NO. The diffusing capacity of the alveolar capillary membrane and pulmonary capillary blood volume were calculated from the steady-state diffusing capacity for CO (measured simultaneously) and the specific transfer conductance of blood per milliliter for NO and for CO. Nine men were studied bicycling at an average O2 consumption of 1.3 ± 0.2 l/min (mean ± SD). DLNO was 202.7 ± 71.2 ml · min-1 · Torr-1 and steady-state diffusing capacity for CO, calculated from end-tidal (assumed alveolar) CO2, mixed expired CO2, and mixed expired CO, was 46.9 ± 12.8 ml · min-1 · Torr-1. NO dead space = (VT × FENO - VT × FANO)/(FINO - FANO) = 209 ± 88 ml, where VT is tidal volume and FENO, FINO, and FANO are mixed exhaled, inhaled, and alveolar NO concentrations, respectively. We used the Bohr equation to estimate CO2 dead space from mixed exhaled and end-tidal (assumed alveolar) CO2 = 430 ± 136 ml. Predicted anatomic dead space = 199 ± 22 ml. Membrane diffusing capacity was 333 and 166 ml · min-1 · Torr-1 for NO and CO, respectively, and pulmonary capillary blood volume was 140 ml. Inhalation of repeated breaths of NO over 80 s did not alter DLNO at the concentrations used.

alveolar capillary gas diffusion; dead space; membrane diffusing capacity; lung capillary blood volume


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

THEORETICALLY, nitric oxide (NO) is the ideal gas to study lung diffusion because it is poorly soluble in water and, because of its very rapid and virtually irreversible reaction with Hb, its uptake is independent of pulmonary capillary blood flow and rate of chemical reaction (6). Our laboratory (4) originally developed a single-breath method for measuring lung NO diffusion (DLNOSB) during breath holding at rest. By including CO in the inspired mixture, it is possible to simultaneously measure the DLCOSB. From knowledge of the water solubility and molecular weight of the two gases and by assuming that Roughton and Forster's model also applies to NO lung transfer, our laboratory (3) and others (8) have estimated the Dm and Vc from a single breath. The availability of rapidly responding and sensitive NO analyzers now allows estimation of alveolar NO concentrations from end-expiratory samples and hence measurement of steady-state DLNO (DLNOSS) during tidal breathing using safe and stable NO concentrations.

These measurements are important for several reasons. NO is produced in high concentration (11) in the nose and taken up in the lung, so steady-state NO gas transfer takes place during everyday life and knowledge of DLNO is essential for understanding normal NO metabolism. Measuring diffusing capacity in animals and on maximal exercise in humans is easier using a steady-state method compared with a single-breath technique. Using Roughton and Forster's method for obtaining Dm and Vc from DLCO during steady-state breathing at two or more O2 tensions is likely to overestimate the O2-dependent resistance (1/theta CO Vc) due to hyperoxia increasing regional inhomogeneity in diffusing capacity. Using DLNO and DLCO at a single, physiological value for PcO2 obviates this problem. Exhaled NO is being investigated as a test for inflammatory markers in lung disease. An increase in FENO could result from increased NO production or from reduced DLNO (10). Ill or ventilated patients will be unable to perform single exhalations from total lung capacity, so knowing DLNOSS is important in interpreting values for FENO derived from tidal breathing measurements. Finally, inhaled NO is being used therapeutically to treat acute respiratory distress syndrome and pulmonary hypertension. NO causes ultrastructural oxidant lung injury when inhaled in concentrations of 6 ppm for 6 wk (12), and its safety depends on its fast removal into the pulmonary capillary blood before oxidation to nitrogen dioxide or other toxic products can occur. If patients have reduced DLNOSS, then toxicity may be enhanced and the inhaled NO concentration may need to be reduced.

For these reasons, we have made combined DLNOSS and DLCOSS measurements in healthy volunteers by adapting the method of Bates et al. (1).

Glossary


NO   Nitric oxide [parts per billion (ppb)]
DL   Lung diffusing capacity
DLNO   Diffusing capacity for NO
DLCO   Diffusing capacity for CO
DLCOSS   Steady-state diffusing capacity for CO (ml · min-1 · Torr-1)
DLNOSS   Steady-state diffusing capacity for nitric oxide (ml · min-1 · Torr-1)
DLCOSB   Single-breath diffusing capacity for CO (ml · min-1 · Torr-1)
DLNOSB   Single-breath diffusing capacity for NO (ml · min-1 · Torr-1)
VT   Tidal volume (liters)
VA   Alveolar volume (liters)
RR   Respiratory rate (min-1)
PB   Barometric pressure (Torr)
 theta NO   Specific transfer conductance of blood per milliliter for NO (ml · min-1 · Torr-1 · ml-1)
 theta CO   Specific transfer conductance of blood per milliliter for CO (ml · min-1 · Torr-1 · ml-1)
FACO2   Alveolar CO2 concentration (%)
FECO2   Mixed exhaled CO2 concentration (%)
FECO   Mixed exhaled CO concentration (%)
FICO   Inhaled CO concentration (%)
FINO   Inhaled NO concentration (ppb)
FENO   Mixed exhaled NO concentration (ppb)
FANO   Alveolar NO concentration (ppb)
VD   Dead space (ml)
Dm   Diffusing capacity of alveolar capillary membrane (ml · min-1 · Torr-1)
Vc   Pulmonary capillary blood volume (ml)
PcO2   Partial pressure of O2 in pulmonary capillaries (Torr)
 VO2   O2 uptake (l/min)
Hb   Concentration of hemoglobin in venous blood (g/dl)
COHb   Concentration of carboxyhemoglobin venous blood (%)
metHb   Concentration of methemoglobin in venous blood (%)


    METHODS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Subjects

Nine nonsmoking male subjects with no history of lung disease volunteered for the study. All signed consent forms approved by the Huntingdon district ethics committee, who also gave approval for this study. Their characteristics and DLCOSB measured by the standard technique at rest (6) are listed in Table 1. All subjects pursued a moderately active lifestyle.

                              
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Table 1.   Physical characteristics of subjects

General Method

On a daily basis, temperature and PB were measured by use of a metabolic cart (2900Z, Sensor Medics EME, Brighton, Sussex, England) calibrated against a mercury thermometer and the local meteorological office, respectively. PB was corrected for saturated vapor pressure by reference to a table (6). Each subject performed one complete maneuver. Background atmospheric NO, CO2, and CO were measured. Each subject sat breathing air on an electronically braked bicycle ergometer (Sensor Medics 800S) and started to cycle, gradually building up speed until he achieved the desired level of moderate exercise (~1 l/min VO2). Once steady state was achieved, exhaled air was collected for a 2-min period to measure NO and CO back tension, and an 80-s record was also taken of intrabreath NO and CO2 recording at the lips by arranging a fine-bore cannula within the mouthpiece to ensure zero dead space. They were then switched to a mixture of ~5,000 ppb NO and 0.1% CO in air stored in a 200-liter Douglas bag (PK Morgan, Gillingham, Kent, UK) prepared immediately before each replicate. A continuous 2-min collection of exhaled air was made from a similar Douglas bag attached to the exhaled port of the metabolic cart. VT on a breath-by-breath basis, RR, and VO2 were recorded during this time from the metabolic cart. Volume was calibrated by using a 3-liter syringe. The O2 analyzer of the metabolic cart was calibrated using three different O2 concentrations (16%, 21%, and 26%). Immediately before and immediately after the period of exercise, the inspirate bag was analyzed for NO and CO.

Gas Analyses

NO and CO2 were analyzed by using a rapidly responding instrument (Logan Research LR 2000, Rochester, UK) that directs the sample through a rapidly reacting infrared CO2 analyzer to a chemiluminescent NO analyzer with a small (<10 ml) reaction chamber. The NO analyzer has four separate analysis modes for quantifying endogenous NO produced 1) through the nose, 2) during tidal breathing, and 3) during a maximal single exhalation and, finally, 4) a mode for analyzing inhaled concentrations during therapeutic use of NO. For this study, the instrument was set in "therapeutic" mode and calibrated using NO-free compressed air and 4,000 ppb and 80,000 ppb NO (manufacturer's certificate of analysis; BOC gases, Worsley, Manchester, UK). The CO2 analyzer was calibrated using O2 (CO2 free), 5% and 6% CO2. To ensure linearity of these two analyzers, a serial dilution of a mix of NO and CO2 over the working range was performed. To measure the response time, a rubber balloon containing 2,660 ppb NO and 2.7% CO2 was burst by pinprick.

CO was analyzed by using the infrared analyzer of a standard gas transfer apparatus (Transfertest, PK Morgan, Chatham, Kent, UK). Linearity was tested by serially diluting a standard CO-He mix of 6% He and 0.1% CO in air to generate a 25-point plot of CO vs. He.

Blood Analyses

Venous blood was sampled immediately before each experiment and analyzed within 2 h for Hb, metHb, and COHb using an automated spectrophotometer (IL282, Instrument Laboratories, Cupertino, CA).

Safety Precautions

The exercise laboratory was kept well ventilated at all times. The stock NO cylinder (1,000 ppm in nitrogen) was kept securely fastened to the purpose-built trolley at all times. The inspired NO concentration in the Douglas bag was checked before inhalation and was continuously monitored breath by breath during the experiment.

Calculations

Alveolar NO and CO2. The NO, CO2, and time (in s) readings were downloaded as Excel spreadsheet files (Microsoft) from the Logan analyzer using the "datadump facility." For each individual, four files were created: mixed exhaled (breathing air on exercise), mixed exhaled (breathing NO and CO on exercise), inhaled (breathing NO and CO on exercise), and breath by breath (breathing NO and CO on exercise.) For the inhaled file, the concentrations were derived as the mean of the column of readings. For the breath-by-breath files, X-Y plots of NO as a function of time and CO2 as a function of time were drawn using a spreadsheet charting program (Works 3.1, Microsoft). The FACO2 was taken as one-third of the way along the alveolar plateau (Fig. 1) (5). For NO, the alveolar phase was identified visually as a stepwise reduction in the rate of fall of NO concentration with time (Fig. 2), a line of best fit was drawn, and the concentration one-third of the way along was taken as FANO. FECO and FENO were taken as the mean of the column of readings from the exhaled bag.


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Fig. 1.   Change in exhaled NO concentration with time over 2 breaths. On the second curve, the method of fitting a straight line to the estimated NO alveolar plateau is shown. The value of 500 ppb is the estimated alveolar concentration one-third of the way along the plateau. For clarity, the figure has been drawn by using the line chart option of the Microsoft Excel chart wizard to simulate an analog output from the NO analyzer.



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Fig. 2.   Change in exhaled CO2 concentration with time over 2 breaths. On the second curve, the method of fitting a straight line to the estimated alveolar CO2 plateau is shown. The value of 6.5% is the estimated alveolar concentration one-third of the way along the plateau. For clarity, the figure has been drawn by using the line chart option of the Microsoft Excel chart wizard to simulate an analog output from the CO2 analyzer.

Dead space calculations. Anatomic dead space was estimated as 2.2 × weight (kg) + age in yr (6). CO2 dead space (6) was calculated from
V<SC>d</SC><IT>/</IT>V<SC>t</SC><IT>=</IT>(F<SC>a</SC><SUB>CO<SUB>2</SUB></SUB><IT>−</IT>F<SC>e</SC><SUB>CO<SUB>2</SUB></SUB>)<IT>/</IT>F<SC>a</SC><SUB>CO<SUB>2</SUB></SUB> (1)
NO dead space was calculated as follows
Volume of NO gas exhaled breathing NO mixture 

= V<SC>t</SC>·F<SC>e</SC><SUB>NO</SUB><IT>=</IT>V<SC>d</SC>F<SC>i</SC><SUB>NO</SUB><IT>+</IT>F<SC>a</SC><SUB>NO</SUB>(V<SC>t</SC><IT>−</IT>V<SC>d</SC>)
This rearranges to yield
V<SC>d</SC><IT>=</IT>(V<SC>t</SC><IT>·</IT>F<SC>e</SC><SUB>NO</SUB><IT>−</IT>V<SC>t</SC>F<SC>a</SC><SUB>NO</SUB>)<IT>/</IT>(F<SC>i</SC><SUB>NO</SUB><IT>−</IT>F<SC>a</SC><SUB>NO</SUB>) (2)

Diffusing capacity calculations. We calculated DLCO and DLNO by using estimated anatomic dead space [(a) DCO I in Bates et al. (1)] and also DLCO using CO2 dead space [(e) in Ref. 1]
D<SC>l</SC><IT>=</IT>V<SC>t</SC><IT>×</IT>(V<SC>t</SC><IT>−</IT>V<SC>d</SC>)<IT>×</IT>RR (3)

<IT>×</IT>(F<SC>i</SC><IT>−</IT>F<SC>e</SC>)<IT>/</IT>(F<SC>e</SC><IT>×</IT>V<SC>t</SC><IT>−</IT>F<SC>i</SC><IT>×</IT>V<SC>d</SC>)<IT>×</IT>(P<SC>b</SC><IT>−47</IT>)
Equation 3 was calculated using the predicted anatomic dead space for both gases and, for CO, the CO2 dead space (Eq. 1).

In addition, for NO, because we had a rapidly reacting NO analyzer, we adapted Bates et al.'s method using end-tidal concentrations [(c) DCO II in their paper] for NO and used end-tidal FENO from the expired NO curve (Fig. 2) as an estimate of FANO
D<SC>l</SC><IT>=</IT>V<SC>t</SC><IT>×</IT>RR<IT>×</IT>(F<SC>i</SC><SUB>NO</SUB><IT>−</IT>F<SC>e</SC><SUB>NO</SUB>)<IT>/</IT>(F<SC>a</SC><IT>×</IT>(P<SC>b</SC><IT>−47</IT>) (4)
There were thus two estimates of DLCO and DLNO per subject.

For dead space and DL calculations, the respiratory quotient was assumed to be 1 (see RESULTS).

Calculation of Dm and Vc. Calculations were made as follows
Dm<SUB>NO</SUB><IT>=</IT>(<IT>&thgr;</IT><SC>no</SC><IT>−2·&thgr;</IT><SC>co</SC>)<IT>/</IT>(<IT>&thgr;</IT><SC>no</SC><IT>/</IT>D<SC>l</SC><SUB>NO</SUB><IT>−&thgr;</IT><SC>co</SC><IT>/</IT>D<SC>l</SC><SUB>CO</SUB>) (5)

Dm<SUB>CO</SUB><IT>=</IT>Dm<SUB>NO</SUB><IT>/2</IT> (6)

Vc<IT>=1/</IT>(<IT>&thgr;</IT><SC>co</SC><IT>/</IT>D<SC>l</SC><SUB>CO</SUB><IT>−&thgr;</IT><SC>co</SC><IT>/</IT>Dm<SUB>CO</SUB>) (7)
For derivation of these equations, see Ref. 4. The value of theta NO (5) was taken as 4.5 ml · min-1 · Torr-1 · ml-1 (1,500 mmol · min-1 · kPa-1 · l-1) and theta CO (7) calculated from 1/theta CO = 1.3 × 10-3 + 4.1 × 10-3 (PcO2) min · Torr. PcO2 was taken as 100 Torr. For both CO and NO, correction for Hb was made by multiplying theta  by Hb × (1 - COHb - metHb)/14.6.

For calculation of DmCO, the assumption (8) is made that theta NO is infinity
Dm<SUB>CO</SUB><IT>=</IT>D<SC>l</SC><SUB>NO</SUB><IT>/2</IT> (8)
and Vc was obtained by inserting this value for DmCO into Eq. 7.

Statistical Analysis

The paired t-test was used to compare the calculated NO dead space to the predicted anatomic dead space and to the CO2 dead space and to compare DLNO calculated from FANO and predicted anatomical dead space. Values are given as means ± SD.


    RESULTS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Performance of Analyzers

The NO-CO2 analyzer was linear to serial dilution over the working range down to NO concentrations below 250 ppb and CO2 below 0.55% when departure from linearity occurred; these were well below the alveolar and mixed expired concentrations. The minimum detectable concentration of NO was 60 ppb and CO2 0.3% in therapeutic mode. The response time to half signal after balloon burst was 160 ms for CO2 and 400 ms for NO; the CO2 column was therefore "cut and pasted" down by 240 ms in the spreadsheet to synchronize concentration data for the two gases. A plot of CO and He was linear with intercept zero over the working CO range.

Subject Data

Table 1 illustrates the nine subjects' physical characteristics.

Measured and Derived Variables

Mean VO2 was 1.3 ± 0.2 l/min. Mean respiratory quotient (RQ) was 0.96 ± 0.06. No loss of NO or CO occurred from the inspired bag. There was no detectable (i.e., <60 ppb) background NO in the laboratory atmosphere or in the exhaled breath sample for any subject with the instrument in the therapeutic mode. The breath-by-breath X-Y plots of exhaled concentration and time are shown in Fig. 1 for CO2 and Fig. 2 for NO. The NO plot comprises a peak of inhaled NO, a steep fall representing dead space, and then a shallower alveolar slope. The mean inhaled, mean mixed exhaled, and alveolar NO were 5,218 ± 1,675, 1,402 ± 381, and 942 ± 250 ppb, respectively.

The calculated CO2 and NO dead spaces are shown in Table 2. The NO dead space is significantly different (P < 0.001) from the CO2 dead space but not from the anatomic dead space. Calculated DLCO and DLNO together with Dm and Vc are shown in Tables 2 and 3. There are no significant differences between the two estimates of DLNO. DLNO appears constant over 30 s of observation (Fig. 3).

                              
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Table 2.   Dead space and DL estimates


                              
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Table 3.   DmCO and Vc estimates



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Fig. 3.   Ratio of steady-state diffusing capacity for NO (DLNO) to mean DLNO for the 9 subjects over ~30 s. DLNO was calculated by using mixed exhaled NO and breath-by-breath alveolar CO2 concentration.


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Major Findings

Estimates of dead space. The NO dead space is strikingly similar to the predicted anatomical dead space but significantly lower, on average about one-half, than the CO2 dead space. However, the estimate of NO dead space is less precise because the alveolar slope for NO is steeper. Clearly, NO uptake is occurring within the alveolar dead space. NO is a reactive gas particularly in solution, and this reaction could be with groups other than Hb in the lining of unperfused alveoli. Heller and Schuster (9), however, discounted a chemical reaction of NO with lung tissue during single-breath DLNO measurements in rabbits because there was no variation in DLNO either with duration of breath hold or with FINO. Their results are in agreement with our single-breath observations of a semilog decline in FANO with intercept 1 in two human subjects (4) and identical values of DLNOSB at FINO of 0.75 ppm and 60 ppm (Borland C and Cox Y, unpublished observations). A more plausible explanation is as follows: the physiological dead space exceeds the anatomic dead space because some alveoli have a ventilation-perfusion ratio approaching infinity. Such alveoli and their associated capillaries will secrete minimal CO2. On the other hand, DLNO is diffusion limited, independent of capillary blood flow, and (if theta NO approaches infinity) independent of capillary blood volume. Uptake of NO would therefore occur even in these alveoli, and the NO dead space would correspond to the anatomic dead space.

Values for DLNO. The values for DLNO using the predicted anatomic dead space and the dead space calculated from FANO are similar (Table 2). The higher mean value for DLNO calculated from FANO is largely due to subject 3, who had wide between-breath variation in VT and FANO. The average DLNOSS of ~200 ml · min-1 · Torr-1 measured here on moderate exercise exceeds the single-breath value measured at rest (125 ml · min-1 · Torr-1) by ~70 ml · min-1 · Torr-1 (4). This is at first surprising because steady-state measurements are made at VT rather than total lung capacity and DLNOSB is highly lung volume dependent (4), falling by 45 ml · min-1 · Torr-1 with a reduction in VA from 7 to 4 liters. It is to be noted that it is the volume that the inhaled NO is distributed into rather than the inhaled volume that is important here. During steady-state breathing, the NO will be distributed into a volume of functional residual capacity plus VT, whereas during a single breath it will be distributed into VA. The difference between these volumes is perhaps only 1-2 liters. However, we also noted a rise in DLNOSB with exercise to 210 ml · min-1 · Torr-1 at 1-2 l/min VO2, so the overall value could be little changed. These average values therefore may be used to interpret values for alveolar partial pressure of NO in models of NO production (10).

Values for DLCO, Dm, and Vc. The mean DLCOSS on moderate exercise exceeds DLCOSB measured at rest by ~5-10 ml · min-1 · Torr-1. Our previous mean value for DLCOSB at 1.4 l/min VO2 in three individuals was 48 ml · min-1 · Torr-1, so again it is possible that the discrepancy is due to exercise. Other workers have found DLCOSS to be less than DLCOSB (13). DmCOSS is close to our previous value for DmCOSB (316 ml · min-1 · Torr-1). However, Vc is about three times as large (56 ml single breath) (3). It is possible to use Eq. 7 to calculate Vc on exercise from our previous combined single-breath data (4), and a figure of 101 ml is obtained. In contrast, DmCOSB is 343 ml · min-1 · Torr-1. It would appear that during tidal breathing on exercise Vc is one to two times that which is measured during apnea at total lung capacity on exercise. One explanation is that the capillaries are flattened when the alveoli are fully inflated and stretched. Alternatively, maximal inspiration recruits alveoli that are normally less well ventilated, less well perfused, and hence of lower Vc. The increased cardiac output of exercise dilates capillaries and recruits capillaries, hence increasing Vc. All these processes have little effect on Dm because it is probable that NO uptake is largely independent of Vc.

Variation in DLNO between breaths. It was not possible to perform a complete breath-by-breath analysis for DLNOSS. Although we could measure FANO on a breath-by-breath basis and inhaled NO would not have varied between breaths, it was not possible to calculate the mixed exhaled NO on a breath-by-breath basis. To do so would have needed exhaled flow or volume averaging of the exhaled NO signal, which is not possible with the analyzer in therapeutic mode. However, calculating DLNOSS by using FENO and breath-by-breath FANO does not show any alteration of DLNOSS with duration of inhalation or number of breaths (Fig. 3). Despite NO being vasoactive, there appears to be no evidence that breathing it alters the measurement of DLNOSS.

Critique of Method

As with DLCOSS, DLNOSS suffers from the inherent inaccuracy of estimating FANO. We found a steep alveolar phase for exhaled NO (Fig. 2), and the place on the curve chosen as a representative value for FANO inevitably influenced DLNOSS to a great extent. DLNOSB measurements are therefore more reproducible (4). DLNOSS is more practical for exercise measurements, and indeed we studied DLNOSS on exercise because at rest DLCOSS is greatly affected by regional inhomogeneity in diffusing capacity, and we anticipated similar problems with DLNOSS. It would have been of interest to monitor DLNOSS continuously during increasing exercise and to have several replicates per subject. However, this would have involved exposure to 5,000 ppb NO for many minutes over several days, and we thought that this could be unsafe given that there is uncertainty regarding the safe exposure concentrations for NO. This concentration was chosen because it is stable in air but sufficiently high for interference from endogenous NO not to be a problem. The steady-state method is more applicable to use during artificial ventilation in patients and for animal work.

Comparison With Other Work

All three groups who have made DLNO measurements have applied the classic Roughton and Forster model (1/DL = 1/Dm +1/theta Vc) originally derived for CO transfer to NO transfer, although each group has made different assumptions, leading to differing values for Dm and Vc. Guenard et al. (8) assumed that, because the rate of reaction of NO with Hb is extremely rapid compared with the membrane conductance (Dm), DLNO approximates to DmNO and is therefore twice DmCO because the ratio of water solubility to the square root of molecular weight for NO is twice that for CO. This value for DmCO is entered into the equation. By their reasoning, DLNO is entirely independent of capillary blood volume. Using this approach yields lower figures for Dm and higher values for Vc than we have obtained (see Table 3). Their method and ours use upper and lower limits for theta  and give correspondingly lower and upper limits for Dm and Vc. All the groups have assumed that theta NO is independent of alveolar PO2, although there is no in vitro evidence for this given the technical difficulties due to the rapid reaction of NO and O2. However, our laboratory (3) has previously found some O2 variability of DLNO over the physiological PO2 range and presumed this to be due to alteration in Dm or Vc.

Values for DLNO-to-DLCO ratio and the reaction resistance. The ratio of DLNO to DLCO varies between 3.9 and 4.8, depending on which estimates of DL are used. These estimates are rather lower than those made using single-breath estimates (4, 7), perhaps because of the exercise-induced increase in DLCO.

Schuster and Heller (9) extended Guenard's formula and obtained the reaction resistance/total transfer resistance = DLCO/theta COVc = 1-2/(DLNO/DLCO). With the use of Heller and Schuster's formula (9), which assumes that theta NO is infinity, the reaction resistance to CO uptake from our data of 1-2/(DLNO/DLCO) gives a figure of 0.48, which is close to their estimate (0.4). However, if the reaction resistance is calculated as DLCO/(theta CO × Vc) using our value for Vc (Table 3) and using the O2-dependent term for theta CO (see calculation of Dm and Vc above), then a figure of 45.6/(158 × 4.1 × 10-3 × 100) = 0.7 is obtained. It is clearly crucial to know the in vivo value of theta NO to correctly calculate the reaction resistance to CO uptake.

Directions for Further Work

It would be important to confirm our observations by making measurements at rest, increasing levels of exercise and varying PO2. A simultaneous rapidly responding flow or volume channel would allow breath-by-breath measurement and also the study of within-breath variation of DLNO with VA. The interpretation of DLNO and indeed DLCO crucially depends on how values for theta  obtained in the laboratory relate to the situation in the pulmonary capillary. One approach would be to measure DLNO and DLCO simultaneously while varying the hematocrit. If 1/DL is plotted as a function of 1/Hb for both gases, then the ratio of slopes is theta NO/theta CO. These experiments would be best performed in an isolated lung preparation. Studies of DLNO/DLCO in anemia in humans have given conflicting results, no doubt because chronic anemia affects other aspects of gas transfer than hematocrit (2). In an isolated lung model, it should be possible to keep these factors constant.


    APPENDIX
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Worked Example Using Data for Subject 1

Subject 1 was 45 yr old and weighed 80 kg. The experiment was performed on a day when the laboratory temperature was 24°C and PB was 752 Torr. Saturated vapor pressure at 37°C was assumed to be 47 Torr.

VT = 2,200 ml, RR = 20.3, FECO2 = 4.8%, FACO2 = 5.7%, FICO = 0.106%, FECO = 0.067%, FINO = 5,260 ppb, FENO = 1,467 ppb, FANO = 1,200 ppb, Hb = 15.3 g/dl, COHb = 1%, metHb = 0.3%.

Dead space calculations. Anatomical dead space was estimated as 2.2 × [weight (kg) + age (yr)] (6)
=<IT>2.2×</IT>(<IT>80+45</IT>)<IT>=</IT><UNL><IT>221 </IT>ml</UNL>
CO2 dead space (6) was calculated from
V<SC>d</SC><IT>=</IT>V<SC>t</SC>(F<SC>a</SC><SUB>CO<SUB>2</SUB></SUB><IT>−</IT>F<SC>e</SC><SUB>CO<SUB>2</SUB></SUB>)<IT>/</IT>F<SC>a</SC><SUB>CO<SUB>2</SUB></SUB><IT>=2,200</IT> (A1)

<IT>×</IT>(<IT>5.7−4.8</IT>)<IT>/5.7=</IT><UNL><IT>347 </IT>ml</UNL>
NO dead space was calculated from
V<SC>d</SC><IT>=</IT>V<SC>t</SC>(F<SC>e</SC><SUB>NO</SUB><IT>−</IT>F<SC>a</SC><SUB>NO</SUB>)<IT>/</IT>(F<SC>i</SC><SUB>NO</SUB><IT>−</IT>F<SC>a</SC><SUB>NO</SUB>)<IT>=2,200</IT> (A2)

<IT>×</IT>(<IT>1,467−1,200</IT>)<IT>/</IT>(<IT>5,260−1,200</IT>)<IT>=</IT><UNL><IT>145 </IT>ml</UNL>

Diffusing capacity calculation for DLCO. Using predicted anatomic dead space (a DCO 1 in Bates et al.)
D<SC>l</SC><SUB>CO</SUB><IT>=</IT>V<SC>t</SC><IT>×</IT>RR<IT>×</IT>(V<SC>t</SC><IT>−</IT>V<SC>d</SC>)<IT>×273/</IT>(<IT>273+24</IT>)<IT>×</IT>(F<SC>i</SC><IT>−</IT>F<SC>e</SC>)<IT>/</IT>(F<SC>e</SC><IT>×</IT>V<SC>t</SC><IT>−</IT>F<SC>i</SC><IT>×</IT>V<SC>d</SC>)<IT>×</IT>(P<SC>b</SC><IT>−47</IT>)<IT>=2,200×20.3×</IT>(<IT>2,200−221</IT>)

×273/(273+24)×(0.0106−0.00067)/(0.00067×2,200−0.000106×221)×(752−47)<UNL>=36.2 ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP></UNL> (A3)
Using CO2 dead space [(e) in Bates et al.]
D<SC>l</SC><SUB>CO</SUB><IT>=</IT>V<SC>t</SC><IT>×</IT>RR<IT>×</IT>(V<SC>t</SC><IT>−</IT>V<SC>d</SC>)<IT>×273/</IT>(<IT>273+24</IT>)<IT>×</IT>(F<SC>i</SC><IT>−</IT>F<SC>e</SC>)<IT>/</IT>(F<SC>e</SC><IT>×</IT>V<SC>t</SC><IT>−</IT>F<SC>i</SC><IT>×</IT>V<SC>d</SC>)<IT>×</IT>(P<SC>b</SC><IT>−47</IT>)<IT>=2,200×20.3×</IT>(<IT>2,200−347</IT>)

×273/(273+24)×(0.0106−0.00067)/(0.00067×2,200−0.000106×347)×(752−47)<UNL>=38.0 ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP></UNL>

Diffusing capacity calculation for DLNO. Using the predicted anatomic dead space for NO


D<SC>l</SC><SUB>NO</SUB><IT>=</IT>V<SC>t</SC><IT>×</IT>RR<IT>×</IT>(V<SC>t</SC><IT>−</IT>V<SC>d</SC>)<IT>×</IT>(F<SC>i</SC><IT>−</IT>F<SC>e</SC>)<IT>/</IT>(F<SC>e</SC><IT>×</IT>V<SC>t</SC><IT>−</IT>F<SC>i</SC><IT>×</IT>V<SC>d</SC>)<IT>×</IT>(P<SC>b</SC><IT>−47</IT>)<IT>=2,200×20.3×273/</IT>(<IT>273+24</IT>)<IT>×</IT>(<IT>2,200−221</IT>)<IT>×</IT>(<IT>5,260−1,467</IT>)<IT>×10<SUP>−9</SUP>/</IT>(<IT>2,200×1,467−5,260×221</IT>)<IT>×</IT>(<IT>752−47</IT>)<IT>×10<SUP>−9</SUP></IT><UNL><IT>=211.9 </IT>ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP></UNL>
Using end-tidal FENO from the expired NO curve (Fig. 2) as an estimate of FANO


D<SC>l</SC><SUB>NO</SUB><IT>=</IT>V<SC>t</SC><IT>×</IT>RR<IT>×</IT>(F<SC>i</SC><SUB>NO</SUB><IT>−</IT>F<SC>e</SC><SUB>NO</SUB>)<IT>/</IT>[F<SC>a</SC><IT>×</IT>(P<SC>b</SC><IT>−47</IT>)]<IT>=2,200×20.3×273/</IT>(<IT>273+24</IT>)<IT>×</IT>(<IT>5,260−1,467</IT>) (A4)

<IT>×10<SUP>−9</SUP>/1,200×</IT>(<IT>752−47</IT>)<IT>×10<SUP>−9</SUP></IT><UNL><IT>=184.1 </IT>ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP></UNL>
For dead space and DL calculations, the respiratory quotient was assumed to be 1 (see RESULTS).

Calculation of Dm and Vc. Calculations were made as follows
Dm<SUB>NO</SUB><IT>=</IT>(<IT>&thgr;</IT><SC>no</SC><IT>−2·&thgr;</IT><SC>co</SC>)<IT>/</IT>(<IT>&thgr;</IT><SC>no</SC><IT>/</IT>D<SC>l</SC><SUB>NO</SUB><IT>−&thgr;</IT><SC>co</SC><IT>/</IT>D<SC>l</SC><SUB>CO</SUB>) (A5)

Dm<SUB>CO</SUB><IT>=</IT>Dm<SUB>NO</SUB><IT>/2</IT> (A6)

Vc<IT>=1/</IT>(<IT>&thgr;</IT><SC>co</SC><IT>/</IT>D<SC>l</SC><SUB>CO</SUB><IT>−&thgr;</IT><SC>co</SC><IT>/</IT>Dm<SUB>CO</SUB>) (A7)
For derivation of these equations, see Ref. 3. The value of theta NO (5) was taken as 4.5 ml · min-1 · Torr-1 · ml-1 (1,500 mmol · min-1 · kPa-1 · l-1) and theta CO (7) calculated from 1/theta CO = 1.3 × 10-3 + 4.1 × 10-3 (PcO2) min · Torr/ml-1. PcO2 was taken as 100 Torr. For both CO and NO, correction for Hb was made by multiplying theta  by Hb × (1 - COHb - metHb)/14.6.

For subject 1, we used the estimate of DLCO using the CO2 dead space and DLNO using end-tidal NO as an estimate of alveolar NO
&thgr;<SC>co</SC><IT>=1/</IT>[<IT>1.3+4.1×10<SUP>−3</SUP></IT>(<IT>100</IT>)]

×(15.3−0.3−1)/14.6=0.6 ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP><IT>·</IT>ml<SUP><IT>−1</IT></SUP>

&thgr;<SC>no</SC><IT>=4.5×</IT>(<IT>15.3−0.3−1</IT>)<IT>/14.6</IT>

=4.6 ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP><IT>·</IT>ml<SUP><IT>−1</IT></SUP>

Dm<SUB>NO</SUB><IT>=</IT>(<IT>4.6−2×0.6</IT>)<IT>/</IT>(<IT>4.6/184.1−0.6/38</IT>)

=<UNL>369.7 ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP></UNL> 

Dm<SUB>CO</SUB><IT>=369.7/2=</IT><UNL><IT>184.9 </IT>ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP></UNL>

Vc<IT>=1/</IT>[<IT>0.6/29.3−0.6/</IT>(<IT>0.5×517</IT>)]<IT>=</IT><UNL><IT>80.0 </IT>ml</UNL>
For calculation of DmCO, the assumption (8) is made that theta NO is infinity
Dm<SUB>CO</SUB><IT>=</IT>D<SC>l</SC><SUB>NO</SUB><IT>/2=</IT><UNL><IT>92 </IT>ml<IT>·</IT>min<SUP><IT>−1</IT></SUP><IT>·</IT>Torr<SUP><IT>−1</IT></SUP></UNL>
and Vc was obtained by inserting this value for DmCO into Eq. 7
=1/[0.6/38−0.6/(92)]

=<UNL>108 ml</UNL>


    FOOTNOTES

Address for reprint requests and other correspondence: C. Borland, Dept. of Medicine, Hinchingbrooke Hospital, Huntingdon, Cambs. PE18 8NT, UK (E-mail: colin.borland{at}hbhc-tr.anglox.nhs.uk).

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 12 April 2000; accepted in final form 5 September 2000.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

1.   Bates, DV, Boucot NG, and Dormer AE. The pulmonary diffusing capacity in normal subjects. J Physiol (Lond) 129: 237-252, 1955.

2.   Borland, C. NO and CO transfer. Eur Respir J 3: 977-978, 1990[Web of Science][Medline].

3.   Borland, CDR, and Cox Y. Effect of varying alveolar oxygen partial pressure on diffusing capacity for nitric oxide and carbon monoxide, membrane diffusing capacity and lung capillary blood volume. Clin Sci (Colch) 81: 759-765, 1991[Medline].

4.   Borland, CDR, and Higenbottam TW. A simultaneous single breath measurement of pulmonary diffusing capacity with nitric oxide and carbon monoxide. Eur Respir J 2: 56-63, 1989[Abstract].

5.   Carlsen, E, and Comroe JH. The rate of uptake of carbon monoxide and of nitric oxide by normal human erythrocytes and experimentally produced spherocytes. J Gen Physiol 42: 83-107, 1958[Abstract/Free Full Text].

6.   Cotes, JE. Lung Function: Assessment and Application in Medicine. Oxford, UK: Blackwell Scientific, 1993, p. 297, 301-311.

7.   Forster, RE. Diffusion of gases across the alveolar membrane. In: Handbook of Physiology. The Respiratory System. Gas Exchange. Bethesda, MD: Am. Physiol. Soc, 1987, sect. 3, vol. IV, chapt. 5, p. 71-88.

8.   Guenard, H, Varene N, and Vaida P. Determination of lung capillary blood volume and membrane diffusing capacity in man by the measurements of NO and CO transfer. Respir Physiol 70: 113-120, 1987[Web of Science][Medline].

9.   Heller, H, and Schuster KD. Role of reaction resistance in limiting carbon monoxide uptake in rabbit lungs. J Appl Physiol 84: 2066-2069, 1998[Abstract/Free Full Text].

10.   Hyde, RW, Geigel EJ, Olsszowska AJ, Krasney JA, Forster RE, II, Utell MJ, and Frampton MW. Determination of production of nitric oxide by lower airways of humans: theory. J Appl Physiol 82: 1290-1296, 1997[Abstract/Free Full Text].

11.   Lundberg, JON, Weitzberg E, Lundberg JM, and Alving K. Nitric oxide in exhaled air. Eur Respir J 9: 2671-2680, 1996[Abstract].

12.   Mercer, RR. Morphometric analysis of alveolar responses of F344 rats to subchronic inhalation of nitric oxide. Res Rep Health Eff Inst 88: 1-15, 1999.

13.   Sackner, MA, Raskin MM, Julien PJ, and Avery WG. Effect of lung volume on steady-state pulmonary membrane diffusing capacity and pulmonary capillary blood volume. Am Rev Respir Dis 104: 408-417, 1971[Medline].


J APPL PHYSIOL 90(2):538-544
8750-7587/01 $5.00 Copyright © 2001 the American Physiological Society



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