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J Appl Physiol 97: 286-292, 2004. First published March 19, 2004; doi:10.1152/japplphysiol.00821.2003
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Unrestrained plethysmography is an unreliable measure of airway responsiveness in BALB/c and C57BL/6 mice

Andy Adler,1 Greg Cieslewicz,2 and Charles G. Irvin3

1School of Information Technology and Engineering, University of Ottawa, Ontario, Canada K1N 6N5; 2Critical Care Medicine Department, National Institutes of Health, Bethesda, Maryland 20892; and 3Vermont Lung Center, University of Vermont, Burlington, Vermont 05405

Submitted 4 August 2003 ; accepted in final form 16 March 2004


    ABSTRACT
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
There has been significant utilization of the technique described by Hamelmann et al. (Am J Respir Crit Care Med 156: 766–775, 1997) in which a parameter, enhanced pause (Penh), related to airways responsiveness is noninvasively measured by unrestrained plethysmography (UP). Investigating this technique, we sought to answer these questions: 1) How do changes in Penh compare with changes in traditional plethysmographic and lung mechanical parameters? 2) How do UP parameters perform in two different mouse strains? Awake immunized and control BALB/c (n = 16) and C57BL/6 (n = 14) mice were placed in the UP chamber and exposed to doses of aerosolized methacholine while the following parameters were measured at each concentration: inspiratory time (TI), expiratory time (TE), total time (Ttot), TI/Ttot, peak inspiratory pressure, peak expiratory pressure, Pause, Penh, tidal volume (VT), VT/TI, VT/TE, and VT/Ttot. The next day, lung resistance (RL) and compliance (CL) were invasively measured in the same animals. For the BALB/c, the parameters with the highest magnitude of correlation coefficient vs. RL are (in order) 1) CL, 2) Pause and Penh, 3) parameters of breathing frequency (TE, Ttot, TI), and 4) parameters related to VT (inspiratory pressure, expiratory pressure). Flow parameters (VT/Ttot, VT/TE, VT/TI) and duty cycle parameters (TI/Ttot) had insignificant correlations. This ordering is significantly different in C57BL/6 mice, in which the parameters with the largest correlations are 1) CL, 2) parameters of breathing frequency, and 3) flow parameters. Pause, Penh, VT, and duty cycle parameters had insignificant correlations. These data show that Penh is problematic in the sense that it is strain specific; it behaves very differently in BALB/c and C57BL/6 mice. We suggest that UP parameters largely originate as part of reflex control of breathing processes, rather than in the lung mechanics and conclude that it is inappropriate to use UP parameters in general, and Penh specifically, as substitute variables for invasive mechanical indexes such as RL.

enhanced pause; airway resistance; lung mechanics


AN ANIMAL BREATHING IN A CLOSED CHAMBER induces breathing-related changes in chamber air pressure. This observation has subsequently been used in many experimental setups to noninvasively monitor breathing frequency and tidal volume (VT) (5, 7, 9, 10, 13, 17, 18). Recently, Hamelmann et al. (14) have suggested use of unrestrained plethysmography (UP) as a measure of bronchoconstrictive response to inhaled agonist in mice. This work described an heuristic parameter, enhanced pause (Penh), calculated from the chamber pressure (Pb) signal. BALB/c mice were exposed to doses of aerosolized methacholine (MCh), and the measured Penh was shown to correlate with the subsequently measured lung resistance (RL). The present popularity of this technique is clearly due to its ease of use (because the animals are unanesthetized) and ability to obtain data rapidly and noninvasively.

However, recent studies suggest there are serious problems with this approach. Albertine et al. (1) and Petak et al. (27) have shown an inconsistent relationship between Penh and invasive measurements, especially in C57BL/6 mice. Mitzner and colleagues (21, 22), Lundblad et al. (19), and Enhorning et al. (8) have shown that the relationship between Pb and airway mechanics is limited. Pb changes are caused by the heating and humidification, and compression and decompression, of inspired gas. Although only compression is physically related to bronchoconstriction, the signal is largely dominated by the heating and humidification effect. Although these theoretical and experimental problems are significant, we believed that the potential usefulness of this technique warranted further investigation. After all, many times in the past, parameters without solid theoretical support have been shown to be very useful (e.g., forced expiratory volume in 1 s). In this study, we began our consideration with the premise that barometric plethysmographical parameters are related to mechanical ones, even though these theoretical studies (19, 22) suggest the link is tenuous. We sought to answer these questions: 1) How do the changes in Penh compare with changes in traditional UP and lung mechanical parameters? 2) How well do UP parameters perform in two different but widely used mouse strains?


    METHODS
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
Animals.   All experimental protocols were reviewed and approved by the institutional animal care and use committee. Female BALB/c and C57BL/6 mice (Jackson Laboratories, Bar Harbor, ME) were separated into immunized (BALB/c, n = 9, 26.5 ± 4.1 g; C57BL/6, n = 7, 21.1 ± 1.2 g) and control (BALB/c, n = 7, 29.3 ± 2.6 g; C57BL/6, n = 7, 18.0 ± 1.4 g) treatment groups. The sensitization and challenge protocol was as previously described (14); the immunized group received a sensitization treatment of intraperitoneal ovalbumin (OVA)/alum on days 1 and 14 and a challenge treatment of aerosolized OVA (1% for 30 min) on days 28–30. The experimental protocol began on day 32. The control group received the same treatment schedule but was sensitized and treated with saline. This protocol was chosen to maximize the difference between treatment and control groups.

UP measurements were made using a 181-ml cylindrical Plexiglas chamber. The chamber had a small controlled leak with a time constant of 1.8 s and a port into which aerosolized MCh could be pumped. Pb was measured with a pressure transducer (Validyne, Northridge, CA) and recorded with an analog-to-digital converter (NB-MIO16x, National Instruments, Austin, TX) at a sampling frequency of 100 Hz after filtering with an appropriate antialiasing filter.

Mice were placed into the chamber and allowed to move freely. Saline and MCh solutions were aerosolized (Aerosonic Nebulizer, DeVilbiss Heath Care, Somerset, PA) and pumped into the chamber at a flow of 1.9 l/min for 2 min. The pump was then stopped, its connecting tube was occluded, and Pb was recorded continuously for 2 min. Measurements were made at concentrations of 0 (saline), 1.6, 3.1, 6.2, 12.5, 25, and 50 mg/ml MCh.

Twenty-four hours after the UP measurements, RL and compliance (CL) were measured in the same mice. The measurements were made under anesthesia while the animals were mechanically ventilated with a previously described plethysmographic method (20). RL and CL were determined after challenge with 10 breaths of MCh aerosol at concentrations of 0 (saline), 1.6, 3.1, 6.2, 12.5, 25, and 50 mg/ml. At the end of this protocol, bronchoalveolar lavage fluid (BAL) was collected to verify the inflammatory status of the animal. One control and one immunized C57BL/6 mouse and one control and four immunized BALB/c mice did not survive to the end of this protocol.

Data analysis.   The 2-min Pb records obtained after each MCh exposure were analyzed to extract candidate end-expiration and end-inspiration points. Each breath was tested against acceptance criteria (see below), and the average plethysmography parameters were calculated for the first 30 s after each exposure. Signals were processed with the following algorithm. Low-frequency drift was removed by a Butterworth digital high-pass filter (cutoff frequency of 1.5 Hz). Candidate breath start points were identified from a low-pass-filtered signal (cutoff frequency of 15 Hz) at points where the slope began to exceed a threshold, which was selected to be 20% of the median slope magnitude. Candidate start points were then corrected with respect to the original, unfiltered signal. For each breath start point, the corresponding inspiratory and expiratory segments were identified, and the breath was compared with the following acceptance criterion: 1) inspiratory (TI) and expiratory times (TE) within 0.3–3.0 times the median times, 2) inspiratory and expiratory change in Pb within 0.3–3.0 times the median value, 3) spurious signal noise within the breath below a threshold, and 4) Pb below the candidate end-inspiratory point. For each accepted breath, TI, TE, pressure change during inspiration (PI), and pressure change during expiration were directly calculated. The parameter values for each dose level were calculated to be the average value for all accepted breaths.

VT was calculated from Pb with the approach of Epstein and Epstein (9) according to the equation

(1)
where PValv and PVbox are water partial pressure (in kPa) at alveolar and chamber conditions, respectively; Patm is absolute atmospheric pressure (in kPa); Talv is the alveolar temperature (in K); and Tbox is the chamber temperature (in K). K is a box-calibration constant (VK/PK) calculated by measuring the increase in box pressure (PK) due to a calibration volume (VK) injected into the chamber. PIcorr is the PI corrected by taking into account the pressure drift in the chamber. We use the approach of Epstein et al. (10), using average chamber temperature and humidity values obtained by our laboratory in previous experiments (19), as well as the nasal and alveolar temperature data from Jacky (18).

We analyzed our records of Pb following the scheme outlined by Hamelmann et al. (14), even though their algorithm is proprietary, so its precise details were not given. Hamelmann et al. used a plethysmographic chamber with a large leak and thus an extremely low time constant (0.02 s). We simulated the effects of their apparatus by subjecting our measurements of Pb to a frequency-domain digital filter with a pole at frequency = 1/0.02 s and a zero at a frequency of 1/1.8 s. The following values were calculated from the filtered Pb (Fig. 1): the maximum change in Pb during expiration (PEP), the maximum change in Pb during inspiration (PIP), and the time interval that encompasses 63% of the integrated expiratory pressure signal (TR). Linear interpolation was used to estimate TR values that did not occur on sample boundaries. We also calculated the following additional parameters for each breath: TI + TE (Ttot), TI/Ttot, VT/TI, VT/TE, VT/Ttot, Pause, and Penh. Following Ref. 14, Pause and Penh are defined as

(2)

(3)



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Fig. 1. Sample chamber pressure waveforms for an immunized BALB/c mouse (A) and C57BL/6 mouse (B) after exposure to 25 mg/ml methacholine (MCh). Maximum change in chamber pressure (Pb) during expiration (PEP), maximum change in Pb during inspiration (PIP), and the time interval that encompasses 63% of the integrated expiratory pressure signal (TR; dashed line) are shown. Any errors in estimation of the end-expiratory point dramatically affect TR. For example, an erroneous estimate of 10 ms too early results in the calculation shown by the dotted line.

 
Statistical analysis.   For each experimental group, the mean and SE of each parameter at each MCh concentration level was calculated. For each mouse strain, the Pearson correlation coefficient (r) was calculated for each parameter with respect to RL and CL. Correlations with magnitudes of >0.427 for BALB/c mice (with n = 16) and 0.459 for C57BL/6 mice (with n = 14) were determined to be significant at P < 0.05 using the Fisher Z transformation. To analyze the effect of treatment (immunized vs. control) and strain on parameters values, a two-way ANOVA test was calculated for each parameter. ANOVA yields the effect of treatment, strain, and the interaction between treatment and strain, and a result was considered significant at P < 0.01.


    RESULTS
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
BAL was analyzed to determine the total cell and eosinophil counts. Mean ± SE total cell counts were 187,000 ± 12,300 (control) and 344,000 ± 29,800 (immunized) in BALB/c mice and 319,000 ± 27,000 (control) and 448,000 ± 45,300 (immunized) in C57BL/6 mice. The percentage ± SE of eosinophils was 0 (control) and 34.8 ± 3.2% (immunized) in BALB/c mice and 0 (control) and 53.7 ± 3.3% (immunized) in C57BL/6 mice. This indicates the presence of a substantial inflammatory response in the lungs of the antigen-immunized and -challenged mice at the time of assessment and is similar to previous reports (14, 31).

Figure 1 shows representative Pb signals for immunized BALB/c (A) and C57BL/6 (B) mice at a MCh concentration of 25 mg/ml. The expiratory signal in the BALB/c mice shows a delay between the end of one expiration and the beginning of the next, whereas the C57BL/6 mice do not show any clear delay. As the MCh concentration increased, the ratio between TR and TE decreased, resulting in an increase in Pause (Eq. 2). This example shows how sensitive TR is to any variability in the identification of the end-expiratory point. If this point is erroneously identified 10 ms too early (B, dotted line), the baseline level is dramatically reduced with a commensurate increase in TR.

Figure 2 shows RL and CL as a function of inhaled MCh concentration. The BALB/c mouse shows large changes in both parameters with concentration, whereas the C57BL/6 mouse has relatively little response. Because not all BALB/c mice survived to the highest concentration (9 of 16 animals survived), the contribution from the most responsive animals is not seen at this concentration level.



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Fig. 2. Lung resistance (RL; B) and lung compliance (CL; A) (logarithmic scale) as a function of MCh concentration. Values are means ± SE. {circ}, Control BALB/c mice; {bullet}, immunized BALB/c mice; {square}, control C57BL/6 mice; {blacksquare}, immunized C57BL/6 mice. *Significant difference (P < 0.05) between control and immunized animals at each dose.

 
Table 1 shows the correlation coefficients for each parameter vs. RL and CL, as well as the percent difference in baseline values between the immunized and the control group. For the BALB/c mice, the parameters with the highest magnitude of correlation coefficient vs. RL are (in rank order) 1) CL, 2) Pause and Penh, 3) parameters of breathing frequency (TE, Ttot, TI), and 4) parameters related to VT (PI, expiratory pressure). Flow parameters (VT/Ttot, VT/TE, VT/TI) and duty cycle parameters (TI/Ttot) do not have significant correlations. This ordering is quite different in the C57BL/6, in which the rank order of the parameters is 1) CL, 2) parameters of breathing frequency, and 3) flow parameters. Pause, Penh, VT, and duty cycle parameters do not have significant correlations. All correlation coefficients are lower in the C57BL/6 mice.


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Table 1. Correlation coefficients and percent differences in baseline values in BALB/c and C57BL/6 mice

 
ANOVA analysis showed a significant effect of strain for all parameters except TI, TE, Ttot, and TI/Ttot, and a significant effect of treatment for all parameters except RL, CL, TR, TI/Ttot, VT/TI, VT/TE, and VT/Ttot. The interaction between treatment and strain was not significant for any parameters except RL, CL, VT/TI, VT/TE, and VT/Ttot. These results are broadly consistent with the correlation coefficients in Table 1. For example, Ttot does not have a significant correlation for either strain and does not show a significant effect of strain or treatment (ANOVA). The lack of significant effect of strain on breathing frequency parameter responses is consistent with the results of Fig. 4. The paradoxical lack of treatment effect for this last group of parameters (RL, CL, VT/TI, VT/TE, and VT/Ttot) is explained by the interaction between treatment and strain; the changes in parameter values due to immunization are in opposite directions for each strain, as is shown for RL and CL in Fig. 2.



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Fig. 4. Penh (A) and TE (B) values vs. RL (both axes logarithmic) measured the next day in the same animals. {circ}, BALB/c mice (dashed line); +, C57BL/6 mice (solid line). The best-fit line is shown for each strain group. For both parameters, the fit vs. RL is better for the BALB/c mice than for the C57BL/6 mice.

 
Figures 3 and 4 show Penh and TE, the parameters with the highest correlation coefficients in the BALB/c mice. Figure 3 shows the response in these parameters vs. MCh concentration, whereas Fig. 4 shows their relationship to RL. Penh is significantly different between control and immunized BALB/c mice at MCh concentrations of 3.1 mg/ml and above, whereas for C57BL/6 mice Penh is not significantly different between treatment groups at any concentration. TE, on the other hand, shows a significant difference for both strains. Both Penh and TE are clearly correlated with RL for the BALB/c mice (Fig. 4), whereas a similar relationship for the C57BL/6 mice does not appear to exist.



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Fig. 3. Enhanced pause (Penh; A) and expiratory time (TE; B) (logarithmic scale) as a function of MCh concentration. Values are means ± SE. {circ}, Control BALB/c mice; {bullet}, immunized BALB/c mice; {square}, control C57BL/6 mice; {blacksquare}, immunized C57BL/6 mice. *Significant difference (P < 0.05) between control and immunized animals at each dose. Penh is significantly different between treatment groups for BALB/c mice but not for C57BL/6 mice. TE shows significant differences between treatment groups for both strains.

 

    DISCUSSION
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
Hamelmann et al. (14) introduced a parameter, Penh, as a noninvasive measurement related to lung mechanics. A mouse is placed into a closed chamber and allowed to move freely while aerosolized agonist is introduced, and Penh is calculated from the measured Pb. The advantage of this technique is its simplicity and noninvasive nature. However, recent studies (1, 8, 12, 15, 19, 21, 22, 24, 27) have shown theoretical and practical problems with this approach. Albertine et al. (1) showed that UP measurements in C57BL/6 mice correlate with invasive measurements at the beginning (days 1 and 2) of the OVA challenge protocol but not later (days 5 and 9). Petak et al. (27) studied C57BL/6 mice with hyperoxia-induced lung damage and showed an inconsistent relationship between UP measurements and low-frequency forced-oscillation measurements. Mitzner and colleagues (21, 22), Lundblad et al. (19), and Enhorning et al. (8) showed that, whereas Pb reflects both conditioning of inspired air (proportional to lung volume) and thoracic gas compression (proportional to alveolar pressure), only the latter is related to lung mechanics. Furthermore, the former process generally dominates Pb to an extent that depends on the absolute lung volume, which can vary significantly with agonist concentration (19). Anecdotal observations also indicate that Penh does not appear to "work" as well in the C57BL/6 as in the BALB/c strain. Interestingly, a large species dependence of UP had been noted as early as 1868 (3); Pb was large in the duck, dog, cat, guinea pig, and tortoise and was small in the rabbit, pigeon, snake, and frog. Despite these issues, however, we considered that the virtues of UP, in terms of noninvasiveness and ease of use, were such that further investigation was warranted.

The purpose of our study was to determine how changes in Penh relate to changes in traditional invasive measures of lung mechanics and whether the nature of this relationship varies between mouse strains. We chose to study BALB/c and C57BL/6 mice because both strains are commonly used as models of lung disease; the BALB/c strain mounts a strong immune response with high IgE levels (16), whereas the C57BL/6 strain is largely used for environmental exposure and production of some types of transgenic animals, such as knockout and constitutive overproducers of cytokines. We chose to compare the parameters of UP to independent measurements of RL because this parameter has been widely used to characterize lung mechanical function in laboratory animals. The robustness of RL as a general measure of mechanics is supported by the fact that CL, another widely used index of lung mechanical function, exhibited a very similar relationship to the UP parameters (Table 1).

VT is calculated from Pb using the approach of Epstein et al. (10) (equation 1), which adds corrections for signal drift to the equations of Drorbough and Fenn (7). This approach assumes that Pb originates solely from heating and humidification of inspired gas. These formulas are widely used (9, 13, 17, 18, 22, 32), although they have been shown to be inaccurate under conditions of increased RL, where compressive changes in Pb may be significant (10, 19, 22, 30). This compressive contribution to Pb depends on alveolar pressure and absolute lung volume, variables we were unable to measure noninvasively. Thus, in our calculations, no correction has been made for compressive contributions to Pb, so VT may be overestimated at higher MCh concentrations. The contribution from this effect is small (19, 21, 22) and is commonly ignored (26, 32). Another potential inaccuracy in our calculation stems from the assumed values [from Jacky (18)] for nasal and alveolar temperature and humidity. These formulas assume complete heating and humidification of inspired air, which has been shown to be inaccurate for humans (25, 26), although it is probably a valid assumption in mice because of their much smaller lung volumes. Thus, although our estimated values of VT may be somewhat inaccurate, the observed trends are unlikely to be artifacts.

Figure 3 shows the response of TE and Penh to increasing concentrations of MCh. TE is significantly different for treatment groups for both strains, although the difference is reduced at the higher concentrations. Penh, on the other hand, is significantly different between treatment groups in the BALB/c but not in the C57BL/6 mice. These results are similar to those of Table 1, where Penh is the UP parameter with the highest correlation to lung mechanics in the BALB/c mouse but does not correlate to lung mechanics in the C57BL/6 mouse. On the other hand, other UP parameters, such as TE, have similar correlations in both strains. This strain difference in behavior of Penh has also been observed by other workers (S. Sur, J. Lee, and L. Lundblad, personal communications). The sensitivity of Penh at low MCh concentration originates largely in its dependence on TR, which shows a marked early response to agonist but returns to baseline values at the highest concentration (Fig. 5). TR also behaves very differently in the different strains and appears to account for most of the differences in Penh response between the C57BL/6 and BALB/c mice. The calculated value of Penh is sensitive to the value of TR, because TR is in the denominator of the Penh equation (Eq. 2), which becomes very small at the highest concentrations of MCh. TR is itself very sensitive to the value estimated for TE. For example, as shown in Fig. 1, if the end of expiration is identified to be 10 ms too early, the resulting increase in TR reduces Penh by a factor of four. Thus Penh shows important experimental problems, in addition to the theoretical ones mentioned previously, which indicate that it cannot be considered as a valid measure of airway mechanics.



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Fig. 5. TR (logarithmic scale) as a function of MCh concentration. Values are means ± SE. {circ}, Control BALB/c mice; {bullet}, immunized BALB/c mice; {square}, control C57BL/6 mice; {blacksquare}, immunized C57BL/6 mice. *Significant differences (P < 0.05) between control and immunized animals at each dose. TR responds differently between treatment groups at middle concentrations but not at the highest concentrations.

 
To explain these observations, we hypothesize [as suggested by Petak et al. (27) and Morris et al. (23)] that Penh largely reflects factors related to control of breathing rather than to airway mechanics. This is supported by the following arguments.

First, differences in UP parameters correspond to differences in physiology. VT parameters (and Penh) correlate well in BALB/c but not in C57BL/6 mice, whereas flow parameters show the reverse effect. This observation corresponds closely with known physiological differences between these strains, as Takeda et al. (31) showed that eophinophils are distributed in peribronchial and peripheral lung tissue in BALB/c mice but were distributed diffusely in peripheral lung tissue in C57BL/6 mice. This suggests that BALB/c mice largely have an airway response, and an adaptive response to the bronchoconstriction is to take slower and deeper breaths, as seen in the data (Fig. 3). In contrast, C57BL/6 mice largely have a tissue response to MCh and so change flow with little decrease in VT. The apparent decrease in responsiveness in the immunized C57BL/6 mouse (Fig. 2) may be reflective of this peripheral response, possibly due to the strain-dependent spectrum of inflammatory mediators such as IL-6 (6). Also, if our data are interpreted in terms of the change with respect to baseline value (such as in Ref. 31), then there is no decrease of responsiveness with immunization.

Second, it is known that, at least in larger mammals, part of the breathing pattern response to agonists such as MCh is due to reflex mechanisms. Phillipson and coworkers (11, 28, 29) have shown the importance of the vagal reflexes in the control of breathing pattern in dogs. For example, elimination of the stretch and vagal reflexes uncouples the mechanical response from the neural response and produces independent reductions in Ttot (28). In unsedated exercising dogs, inhalation of histamine increases RL, decreases CL, and induces rapid shallow breathing, whereas cooling the vagus nerve abolishes these responses (4). Sectioning the parasymphatic vagal pathway in the cat increases the response in RL to aerosolized MCh compared with sham, symathectomy, or section of both vagal pathways (2), demonstrating that MCh elicits a vagal reflex. Recently, Wagner and Jacoby (33) showed that MCh also causes reflex bronchoconstriction in sheep.

Third, UP parameters begin to diverge between treatment groups at lower concentrations of MCh than mechanical variables. RL shows a significant difference in response between treatment groups beginning at 6.2 mg/ml (Fig. 2), whereas Penh shows a significant difference at 3.1 mg/ml (Fig. 3). This is consistent with a nonmechanical (i.e., reflex) origin for the response at very low MCh concentrations.

In summary, although the technique of UP promises an easy-to-use, noninvasive index of lung mechanics in mice, there has been considerable concern over its validity. Theoretical studies (8, 21, 22, 24) have shown that only a small fraction of the Pb changes measured by UP reflects lung mechanics, and practical problems (1, 23, 27) in the interpretation of UP parameters have also been described. Our study supports these concerns. We show that, although Penh correlates with RL in the BALB/c mouse, there is no significant correlation in the C57BL/6 strain. Our data also suggest that Penh largely reflects effects from irritant receptors affecting the control of breathing. Furthermore, Penh does not even appear to be the most useful parameter that can be calculated from the UP signal. For example, TE correlates almost as well with RL as Penh does in the BALB/c mice and performs significantly better in the C57BL/6 strain. Additionally, the TE vs. RL relationship is similar for both strains, whereas the Penh vs. RL relationship is more variable between strains. We conclude, therefore, that Penh is not special compared with other more easily interpretable quantities derivable from Pb and that it is inappropriate to use UP parameters in general, and Penh specifically, as substitute variables for traditional, valid measures of lung mechanics.


    GRANTS
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
We acknowledge the financial support of the National Sciences and Engineering Research Council Canada, and National Institutes of Health Grants HL-56638, HL-60793, and P20 RR-15557.


    ACKNOWLEDGMENTS
 TOP
 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 
The authors thank J. H. T. Bates for insightful comments and criticism.


    FOOTNOTES
 

Address for reprint requests and other correspondence: A. Adler, School of Information Technology and Engineering (SITE), Univ. of Ottawa, 800 King Edward Ave., Ottawa, Ontario, Canada K1N 6N5 (E-mail: aadler{at}uottawa.ca).

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.


    REFERENCES
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 ABSTRACT
 METHODS
 RESULTS
 DISCUSSION
 GRANTS
 ACKNOWLEDGMENTS
 REFERENCES
 

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