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INVITED REVIEW
1Department of Chemical Engineering and Materials Science and 2Department of Biomedical Engineering, University of California, Irvine, California 92697-2575; 3Department of Medical Cell Biology, Uppsala University, Uppsala, Sweden; 4The Johns Hopkins Asthma and Allergy Center, Baltimore, Maryland 21224; and 5National Jewish Medical and Research Center, Denver, Colorado 80206
| ABSTRACT |
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NO; model; airways; alveoli; inflammation
Because NO exchange dynamics are significantly different from other well-studied gases such as carbon dioxide, new models and analytical methods have been developed to understand the underlying physiology and gas exchange mechanisms. A simple two-compartment model of the lungs has been described by several research groups (17, 34, 44, 48) that adequately explains many of the unique features of NO exchange dynamics, in particular the dependence on exhalation flow rate. The two-compartment model describes exhaled NO arising from two compartments, the airways and the alveolar region, using three flow-independent exchange parameters: one describing the alveolar region (the steady-state NO alveolar concentration), and two describing the airway region (airway NO diffusing capacity and either the maximum airway wall NO flux or the airway wall NO concentration). With the use of these three parameters, the two-compartment model can then predict the exhaled concentration at any desired exhalation flow rate. It is important to note that the two-compartment model does not consider the nasal compartment and the significant NO production in the paranasal sinuses (28). Thus special precautions to close the soft palate during exhalation must be made to avoid nasal contamination when model predictions are compared to experimental data.
Since the original description of the two-compartment model, research has focused on three areas: 1) the development of experimental breathing and analytical techniques to accurately and reproducibly estimate the flow-independent NO exchange parameters, 2) the estimation of the flow-independent NO parameters in health and disease, and 3) the further development and testing of the underlying assumptions in the simple two-compartment model. These research thrusts have enhanced our understanding of NO exchange mechanisms, as well as the pathophysiological interpretation of the flow-independent NO exchange parameters.
Glossary
NO
e
| TWO-COMPARTMENT MODEL |
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810 s (3, 13, 21, 4749, 52), the concentration in the alveolar region, CANO, reaches a steady-state concentration. As alveolar air is convected through the airways toward the mouth during exhalation, the gas stream is conditioned with NO diffusing from the airway wall. Briefly, the amount of NO absorbed by the airstream from the airways per unit time is referred to as the flux of NO from the airways, JawNO (pl/s), and is expressed as a linear function of the airway gas phase NO concentration, CNO, by the following (48)
![]() | (1) |
![]() | (2) |
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J'awNO is the maximum flux of NO from the airway tissue, which is approximately equal to the airway compartment flux if CNO were zero, or, alternatively, simply the product DawNO x CawNO (see DETERMINING FLOW-INDEPENDENT NO PARAMETERS). DawNO is the airway NO diffusing capacity (conductance for mass transfer or transfer factor) for radial transport of NO between the airway tissue and the gas phase.
Once the flow-independent parameters are known, the two-compartment model can be used to predict the exhaled concentration of NO, CENO (ppb) (or FENO) at any constant exhalation flow (
E) by using the relatively simple exponential expression (17, 34, 44, 48)
![]() | (3) |
| DETERMINING FLOW-INDEPENDENT NO PARAMETERS |
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Multiple constant exhalation flows. Several groups have manipulated the governing equations of the two-compartment model to arrive at analytical expressions that can be used in conjunction with multiple constant exhalation flows to estimate one or more of the flow-independent NO exchange parameters. When
E is large compared with DawNO, the exponential function of Eq. 3 approaches the first-order linear approximation [i.e., exp(-DawNO/
E) = 1 - DawNO/
E]. This approximation occurs for
E >
5 x DawNO ml/s or
50 ml/s in healthy adults (see mean values of DawNO in healthy adults in Table 1). Under this condition, Eq. 3 reduces to the following simple expression
![]() | (4) |
![]() | (5) |
E, the following expression for the elimination rate of NO,
NO (CENO·
E, ml NO/s), is derived
![]() | (6) |
NO at multiple constant exhalation flow rates. As shown in Fig. 2A, the slope and intercept of the resulting linear relationship provides an estimate of CANO and J'awNO, respectively. Note that in some disease states (e.g., cystic fibrosis, Table 2), CANO is larger than 2% of CawNO and thus the intercept should be rigorously interpreted as DawNO x (CawNO - CANO), as described earlier.
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Pietropaoli et al. ("Pietropaoli" technique) (34) followed with a similar technique to estimate J'awNO and CANO but also included the estimate of DawNO. They used Eq. 5 (rather than Eq. 6) and plotted CENO vs. 1/
E for
E > 200 ml/s and used the intercept as an estimate of CANO. Then, using this value for CANO, combined with additional flow rates as low as 6 ml/s, they used nonlinear regression techniques (steepest descent and Newton's algorithm) and Eq. 3 to estimate J'awNO and DawNO. Figure 2B demonstrates a plot of CENO vs. 1/
E where the intercept is CANO and the slope is J'awNO (Eq. 5).
Silkoff et al. ("Silkoff" 9-flow technique) (44) utilized a nonlinear regression technique using Eq. 3 and nine different flows (range 41,550 ml/s) to estimate all three flow-independent parameters. Then they demonstrated that DawNO and J'awNO (and hence CawNO) could be estimated from two low flow rates (
E < 50 ml/s, Silkoff 2-flow technique) by using the slope (-DawNO) and intercept (J'awNO/DawNO) of a plot of
NO vs. CENO (Fig. 2C).
Hogman and colleagues ("Hogman" technique) (17, 19) followed Silkoff with a slightly modified technique that combined the technique of Tsoukias and also the concepts of Pietropaoli and Silkoff. In this technique, only three exhalation flow rates are needed, one very low (5 ml/s), one medium flow around 100 ml/s, and a high flow that needs to be 300 ml/s or above but not over 500 ml/s. A line is regressed through the medium and high flow rates to determine CANO as described in the Tsoukias technique; then DawNO and J'awNO are determined from all three flows by use of an iterative technique (Fig. 2D) that uses the second-order term to minimize the error induced from the first-order linear approximation of Eq. 4. Thus three unknown parameters are determined from the minimum number of data points (i.e., three).
The advantage of the Tsoukias and Pietropaoli techniques is the use of only two exhalation flow rates, which are easily performed by most subjects, and the very simple analytical method of analysis. The primary disadvantage is that DawNO cannot be determined. The Silkoff 2-flow technique also utilizes only two exhalation flow rates, albeit lower flow rates (<50 ml/s). It may be difficult for some subjects with compromised lung function to continue exhaling long enough at these low flows. To exhale the initial airway volume of
200 ml and achieve a 3-s plateau, a subject needs to exhale for a minimum of 15 s at an exhalation flow rate of 17.2 ml/s. In addition, the Silkoff 2-flow technique does not provide data to determine CANO, but the significant advantage of the Silkoff 2-flow technique is the estimation of DawNO, which has been shown to be elevated in asthma and independent of steroid therapy (38, 44). The technique of Hogman has the obvious advantage that all of the flow-independent NO exchange parameters can be determined, at the cost of one additional low exhalation flow rate (which may be difficult for some subjects to complete as described above) and a nonlinear regression technique that is numerically more complex.
Dynamically changing flow rate. To avoid performing multiple constant exhalation flow rates, the exhalation flow rate during a single exhalation maneuver can be dynamically altered to sample essentially an infinite (depends on the sampling frequency) number of exhalation flow rates. This strategy was employed in a second technique by Tsoukias et al. ("Tsoukias SB" technique, where SB stands for "single breath") (50). To employ this strategy, the residence time,
res, of each exiting differential bolus of air must be known. Then, from Eq. 3, the exhaled concentration, CENO, is simply
![]() | (7) |
E has been replaced with Vaw/
res; hence, this technique not only requires
res, but also requires one to estimate Vaw. Tsoukias et al. (50) used backward integration of the exhalation flow rate signal to determine
res at each exhalation time point and the subjects' body weight in pounds plus age in years to estimate Vaw in units of milliliters.
As described earlier, both low (<50 ml/s) and high (>100 ml/s) exhalation flow rates must be sampled to estimate all of the flow-independent exhalation NO parameters. In a single exhalation maneuver, Tsoukias et al. (50) used a preexpiratory breath hold of 20 s followed by a decreasing exhalation maneuver (
300 to 50 ml/s for adults). The result is an exhalation profile that has a large peak early in the exhalation due to the breath hold and accumulation of NO in the airway compartment followed by a progressively increasing NO concentration in phase III. Phases I and II are sensitive to DawNO (low flow, actually a zero flow from the breath hold) and J'awNO, whereas phase III is sensitive to CANO and J'awNO. Hence, all three parameters can be uniquely determined (Fig. 3) from a nonlinear least squares algorithm. The primary advantage of this technique is that only a single breathing maneuver is needed and a precise exhalation flow rate is unnecessary (one only needs to record the exhalation flow rate). The primary disadvantages are that some subject populations (young children or those with compromised lung function) cannot perform the 20-s breath hold, the parameter estimation algorithm is numerically complex and thus less portable, and Vaw must be estimated for the analysis. A summary of the analytical techniques to estimate the flow-independent NO exchange parameters is provided in Table 1.
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| FLOW-INDEPENDENT NO PARAMETERS IN HEALTH AND DISEASE |
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In healthy adults, a range of 1.05.6 ppb for CANO has been reported, which is consistent with the direct bronchoscopic measurements of the lower airways (8, 9). Although direct measurement of the alveolar maximum flux, J'alvNO, is not possible, an estimate can be made by using reports of the alveolar diffusing capacity, DalvNO (also reported as DLNO), and the simple relationship at steady state, J'alvNO = DalvNO x CANO. Reported ranges for DLNO in healthy adults at total lung capacity (alveolar volumes of 57 liters) are 1,5802,100 pl·s-1·ppb-1 using several different techniques (4, 13, 33, 47, 52). This provides a range of 1,58011,760 pl/s for J'alvNO. For J'awNO, DawNO, and CawNO, the ranges in healthy adults are 4201,280 pl/s, 3.19.2 pl·s-1·ppb-1, and 75225 ppb, respectively. Note that DalvNO and J'alvNO are significantly larger than DawNO and J'awNO, respectively. This is likely due to the enormous surface area in the alveolar region; however, note that the tissue concentration is much larger in the airways (ratio of maximum flux and diffusing capacity).
In disease states, there are several interesting trends, many of which are consistent with our present understanding of regional inflammation in these diseases. Although asthma is a heterogeneous disease, it appears that steroid-treated subjects with asthma have an elevated DawNO, whereas subjects with asthma who are not treated with steroids have elevated DawNO, J'awNO, and possibly CANO. Subjects with allergic alveolitis and Sjogrens have elevated CANO, whereas subjects with scleroderma have an elevated CANO but a reduced J'awNO. Subjects with cystic fibrosis have an elevated DawNO but a reduced CawNO. Allergic rhinitis appears to increase DawNO. For subjects with COPD, CANO is elevated, whereas DawNO is elevated in one group and decreased in another group relative to healthy controls, suggesting distinct subpopulations in NO gas exchange dynamics. In smoking, CawNO and J'awNO are both reduced.
| FUTURE DIRECTIONS |
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The strength of the two-compartment model is its relative simplicity in characterizing NO exchange dynamics with only three flow-independent parameters. However, this simplicity comes at the cost of several major simplifying assumptions that make the governing equations tractable. Characterizing the lungs with only two compartments is obviously a gross simplification. The transition region between the bronchioles and the alveoli (terminal and respiratory bronchioles) is not described in the two-compartment model. This is evident by the abrupt change in concentration between the emptying of the airway and the alveolar compartment in the model predictions shown in Fig. 3 for the single-breath maneuver with a preexpiratory breath hold. The experimental exhaled NO tracings for a similar maneuver produce a smooth rise and fall as the airway compartment is emptied during exhalation. The analytical technique to estimate the flow-independent NO parameters compensates for this model limitation by predicting the total volume of NO exhaled in phases I and II rather than predicting the precise shape of this portion of the tracing.
Another model simplification is that axial diffusion of NO in the gas phase as a mechanism of transport of NO is neglected. It has recently been demonstrated theoretically that if a substantial source of NO arises in the small airways, neglecting axial diffusion may cause the two-compartment model to significantly underestimate the flux of NO from the airways due to back-diffusion into the alveolar region (36, 53). Future work must focus on experimental validation of such predictions and also on the progressive development and validation of the two-compartment simplifications.
One area in which the analytical methods could be substantially improved is in the analysis of exhaled NO tracings during normal tidal breathing. The expired NO concentration profile during tidal breathing has been investigated in infants (15), but partitioning the exhaled NO into airway and alveolar compartments was not accomplished. In adults, all of the techniques to date utilize a single-breath maneuver, which can be cumbersome for some subject populations such as infants or those with compromised lung function. Several challenges must be overcome with tidal breathing. Changes in lung volume for tidal breathing (400800 ml) are smaller than for single-breath maneuvers (1,5003,000 ml). A single cycle (inhalation and exhalation) occurs over a relatively short time frame (48 s), and exhalation profiles are observed in a narrow window (24 s). Over the short exhalation, there is insufficient time to accumulate appreciable amounts of NO in the airway and alveolar compartments. Hence, tidal breathing profiles are flatter and lack the easily recognizable characteristics of single-breath maneuvers. Furthermore, expired NO levels for tidal breathing are roughly fourfold lower (510 ppb) than those observed for single-breath maneuvers. Some of these obstacles can be overcome by observing a series of sequential tidal breaths, whereas others will need to be addressed with improved analytical instrumentation and data-filtering strategies to improve the signal-to-noise ratio.
New experimental methods, techniques, and protocols will also be necessary to complete our understanding of NO exchange dynamics in the lungs. Our present understanding of NO metabolism and transport within lung tissue remains in its infancy. It is clear that exhaled NO is derived from several isoforms of NO synthase in the lungs (54, 55); however, NO also undergoes many chemical reactions that both consume and secondarily produce NO. The substrates for these reactions are numerous and include and S-nitrosothiols, proteins, superoxide, and oxygen (10, 41). The models to describe NO exchange utilize a lumped first-order rate constant and distribute production and consumption uniformly throughout the airway tree. However, there is evidence that NO production is heterogeneous in the airways with a relatively larger production in the upper airways (7, 42). These simplifications will need to be addressed with more advanced experiments such as the use of inhaled agents that can potentially map NO production and consumption within the lungs (5, 6, 24, 35, 45, 56, 57).
Although there have been numerous studies that have addressed changes in the flow-independent NO parameters in disease, applications in the clinical assessment and treatment of patients will require numerous additional studies. The focus of these studies should include repeatability with different analytical techniques, controlled treatment interventions, and longitudinal analysis of the parameters. For example, it has been proposed that DawNO, which depends on physical and anatomical determinants in the airways such as gas solubility and airway surface area, may be impacted by the well-documented structural and physiological changes termed "airway remodeling" in asthma that occur over the time frame of years (38, 44). In contrast, although J'awNO and CawNO also depend on structural and physical determinants in the airways, they also depend on the production rate of NO in the airway tissue (48). Hence, they may be sensitive to more acute interventions in asthma such as corticosteroid therapy, which impacts the pathophysiology of asthma over the time frame of days to weeks (26, 44). More advanced clinical studies are needed to address these possible applications of NO exchange models.
| SUMMARY |
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| ACKNOWLEDGMENTS |
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This work was supported in part by National Heart, Lung, and Blood Institute Grant HL-60636.
| FOOTNOTES |
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| REFERENCES |
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