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1 Department of Medicine, University of Birmingham, Selly Oak Hospital, Birmingham B29 6JD, UK; and 2 Department of Environmental and Occupational Medicine, University of Aarhus, DK-8000 Aarhus C, Denmark
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ABSTRACT |
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Previous studies have shown that the added resistance of a mini-Wright peak expiratory flow (PEF) meter reduced PEF by ~8% in normal subjects because of gas compression reducing thoracic gas volume at PEF and thus driving elastic recoil pressure. We undertook a body plethysmographic study in 15 patients with chronic obstructive pulmonary disease (COPD), age 65.9 ± 6.3 yr (mean ± SD, range 53-75 yr), to examine whether their recorded PEF was also limited by the added resistance of a PEF meter. The PEF meter increased alveolar pressure at PEF (Ppeak) from 3.7 ± 1.4 to 4.7 ± 1.5 kPa (P = 0.01), and PEF was reduced from 3.6 ± 1.3 l/s to 3.2 ± 0.9 l/s (P = 0.01). The influence of flow limitation on PEF and Ppeak was evaluated by a simple four-parameter model based on the wave-speed concept. We conclude that added external resistance in patients with COPD reduced PEF by the same mechanisms as in healthy subjects. Furthermore, the much lower Ppeak in COPD patients is a consequence of more severe flow limitation than in healthy subjects and not of deficient muscle strength.
peak flow determining factors; thoracic gas compression; added expiratory resistance; chronic obstructive pulmonary disease; peak expiratory flow
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INTRODUCTION |
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IT HAS RECENTLY BEEN
SHOWN that the added resistance of a mini-Wright peak flowmeter
decreases the achieved peak expiratory flow (PEF) by ~8% compared
with the PEF measured by a pneumotachograph (PT) (10).
Furthermore, there is evidence that PEF is determined by the wave-speed
flow (
ws)-limiting mechanism in most healthy subjects and
possibly in asthmatic subjects (9). Fry and Hyatt (5) observed that an added resistance shifts the isovolume pressure-flow curves to the right. The alveolar pressure at PEF (Ppeak)
must therefore be increased by the added pressure drop across the PEF
meter. The total pressure necessary to reach a given PEF may therefore
be so large that it cannot be achieved even with maximum effort. This
possibility has already been explored in 10 healthy men studied in a
body plethysmograph with facilities to measure Ppeak as well as mouth
flow vs. expired volume and displaced thoracic gas volume (TGV)
(10). It was found that PEF in healthy subjects obtained
with an added resistance such as a mini-Wright meter was wave-speed
determined, but the added resistance caused gas compression, and the
resulting lower TGV at PEF was the reason that the PEF was lower. In
patients with severe airway obstruction and emphysema, however, the
situation may be different. They have a low Ppeak (1) and
a large TGV. The lower Ppeak will lead to less gas compression in the
lungs of the emphysematous patients, but this may be counterbalanced by
the larger TGV, which would allow a greater absolute change in volume
due to compression. Furthermore, due to destruction of lung tissue, the
elastic recoil pressure of the lungs (Pel) is smaller for a given lung
volume than in healthy subjects, and the relationship between TGV and
Pel is different. Because Pel is a main determinant of maximum flow
(
max) (8), we cannot immediately predict how gas
compression in the lungs will affect PEF in these patients. The aim of
this study, therefore, is to examine how added resistance influences
PEF in patients with obstructive lung disease and how the resistance of
a mini-Wright peak flowmeter influences PEF.
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MATERIALS AND METHODS |
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Equipment. We used a slightly modified pressure-corrected flow body plethysmograph with a 650-liter constant volume (Morgan Medical, Gillingham, UK). Box pressure was measured across a 64-cm2 single-layer 400-mesh screen in the wall of the plethysmograph by use of a Validyne MP45 transducer with a ±0.2-kPa membrane to provide flow in and out of the box. Mouth flow was measured by use of an unheated Fleisch-type PT with a diameter of 5 cm, normally used by Vitalograph Compact spirometer (Buckingham, UK). The pressure across the PT head was measured by a similar Validyne transducer. The PT head was provided with a conical inlet containing a wire screen and was tested as described previously (12) with steady and dynamic flows. It was linear up to 16 l/s [R2 = 0.9994, residual standard deviation (RSD) from regression line through the origin = 0.11 l/s]. The signals from the transducers were low-pass filtered at 40 Hz (18 dB per octave), fed to a computer via an analog-to-digital conversion board (Dash-16, Metrabyte, Taunton, MA) with the data acquisition and calculation being performed by Asyst software (version 1.56, McMillan). The sampling rate was 200 Hz with a total sampling time of 5 s.
Calibration was performed by using an explosive decompression device able to deliver 7.79 liters (11), with a PEF of ~12 l/s and a 10-90% PEF rise time of ~40 ms. Gas flow from the decompression device entered the box via the mouth PT, which during calibration was inverted so that the flow was in the expiratory direction. The delivered flow continued through the box and out of the screen. Mouth flow was calibrated from volume and time. Damping of the box flow due to the capacitance of the air in the box was corrected for by adding a signal proportional to the first derivative of box pressure vs. time to the pressure signal used in the box flow recording (15). Box flow was displayed against mouth flow, and the correction was adjusted so that a closed loop was obtained. Box flow was matched to mouth flow by using a third-degree polynomial, making the reading of the box flow identical to that of the mouth flow during the calibration procedure. Electronic and thermal drifts were carefully corrected before each measurement.Determination of alveolar pressure.
Because of the compression of alveolar gas during a forced expiration,
the amount of air leaving the box from the mouth via the PT will be
less than the amount entering the box via the screen. This difference
between the expired mouth volume and the volume entering the box (
V)
changes throughout expiration, being zero at the start of the blow and
at the finish when the subject relaxes. With isothermal conditions
assumed, alveolar pressure (PA) can be determined by
application of Boyle's law
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(1) |
Validation of pressure measurements.
The validity of such pressure calculations was examined in our previous
study (10). A servo-controlled calibration pump recently
developed at the University of Birmingham was placed in the
plethysmograph. An artificial flow profile was delivered by the pump
with 9.99 l/s PEF, 30 ms time from 10 to 90% PEF, and 20 ms duration
of flow above 90% PEF. The pump expired through stiff tubing (3.5 cm
internal diameter) that was connected to a slide valve with orifices of
different sizes, which in turn was connected to the mouth PT. With no
extra resistance, the pressure drop across the mouthpiece assembly
depended on flow (
) as described by the equation pressure = 0.0148(
)1.57 kPa (R2 = 0.9996, RSD = 2.1%). In place of the slide valve, a mini-Wright PEF meter was also used as an added resistance. The meter was enclosed
in a Perspex holder so that the air passing through the variable-orifice meter was collected and directed through the PT
measuring mouth flow (12). This configuration increased
the pressure across the mouthpiece assembly to
0.189(
)1.11 kPa (R2 = 0.9996, RSD = 1.4%).
Subjects and measurements.
Nineteen subjects with chronic obstructive pulmonary disease (COPD),
who were attending the outpatient clinic of the University Hospital of
Birmingham, gave informed consent according to the Helsinki declaration
to participate in the study. Because of technical problems, curves from
two of the patients were incorrectly recorded and could not be used.
Two other subjects were not able to complete all the recordings. Data
from the remaining 15 subjects who completed the study are presented.
Baseline lung function data for these subjects, 5 women and 10 men,
aged 65.9 ± 6.3 yr (mean ± SD, range 53-75 yr), were
obtained before the study and are described in Table
1. PEF and forced expiratory volume in
1 s were all >2 standardized residuals (SR) below predicted
values (14), i.e., below the lower 98% confidence limit,
and so were clearly decreased for all subjects. This was true for
forced vital capacity (FVC) only in six subjects. TLC was increased in
all but one subject and by >2 SR in six (mean ± SD increase was
1.66 ± 1.48 SR). Transfer factor for carbon monoxide (diffusing
capacity) was decreased in all subjects and by >2 SR in 11 subjects.
It is clear from Table 1 that all the subjects had airflow limitation
and most of them had changes consistent with emphysema.
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Statistics.
The on-line calculated data were evaluated by use of the SPSS/PC
statistical package (SPSS, Chicago, IL). Values are given as means ± SD. Because of the effect of gas compression on the flow-volume
curve obtained at the mouth (7), we decided to use the
mean values from the three satisfactory blows (replications) from each
subject instead of applying any special selection criteria (14). Mean flow-volume curves and pressure-volume curves
for all subjects were constructed for blows with the different added resistances by averaging the flows at identical percentages of FVC
(%FVC). In these curves were incorporated mean peak flows plotted vs.
mean %FVC. Paired differences were analyzed by a nonparametric test
(Wilcoxon), and the overall differences between orifices were analyzed
by ANOVA including the effects of orifice, replication, and subject.
P
0.05 was considered significant.
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RESULTS |
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Test of calibration. PEF for the calibration mouth flow was 12.4 ± 0.2 l/s (n = 8); for the simultaneously measured box flow, it was ~4% lower at 11.9 ± 0.2 l/s. The rise time from 10 to 90% PEFm was 41 ± 2 ms, and that of the corrected box flow was 54 ± 4 ms. The fact that the loop could be closed and that the rise times recorded are close to the lower fifth percentile of rise times in a population study (11) indicate that the frequency response of the system was adequate.
Flow-volume and pressure-volume curves.
Figure 1 shows mean mouth flows for all
15 subjects through the different added resistances, plotted against
expired volume in %FVCm. The PEF points obtained with the
added resistances occur within the perimeter of the flow-volume curves
and are almost at the same expired volume.
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DISCUSSION |
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We have found that the PEF recorded with a mini-Wright PEF meter was reduced by an average of ~10% in patients with airflow limitation due to COPD compared with PEF recorded with a PT. This difference was due to the effect of gas compression in the lungs secondary to the imposed additional resistance and was not because the subjects' ability to generate sufficient driving pressure was exceeded. These results have been derived from demanding plethysmographic procedures, and the validity of these experiments must first be explored.
The initial calibration and tuning of the box was undertaken by sudden decompression delivering gas flow up to 12 l/s, which is larger than the mean PEFb from our subjects (Table 2). The rise time of the calibration signal was also comparable to the mean for our subjects, as shown in Table 2. As the mouth PT previously has been found to be linear up to at least 16 l/s, we believe that linearity, frequency response, and calibration procedure of the system were adequate for the study performed. It is important that box flow during calibration was identical to mouth flow, and this was ensured by matching the two flows by use of a third-degree polynomial.
The algorithm for calculation of PA was thoroughly tested in the previous paper (10) and found to be adequate for normal subjects. Given that the subjects presented here did not produce results outside the range in which the equipment had been tested, we believe that the measurements are satisfactory for them also.
We have found that the PA continued to increase as flow
fell after PEFm was reached (Fig. 3), as we had also found
in the normal subjects (10). This indicates that
PEFm with most of the added resistors was achieved when
ws limitation occurred somewhere in the airway (2).
This is supported by the finding that PEF with added resistances
appeared to occur when flow reached the perimeter of the curves
for mouth flow vs. the volume determined by thoracic gas displacement.
Measurement of the dwell times at 90, 95, and 97.5% PEFm
(DT90, DT95, and DT97, respectively), however, showed that DT90
was not influenced by the mini-Wright PEF meter (Table 2), but larger
resistances increased DT90, indicating a blunting of the peak. Blunting
was less pronounced for DT95 and DT97 (not shown in Table 2). The
increased blunting of the peaks with larger added resistance parallels
the decrease in PEF variability, and the two phenomena may be related.
The results from the present study fail to confirm the previous finding
from a larger study (12) that an added external
resistance, such as a mini-Wright PEF meter, reduced PEF variability.
The most marked finding compared with the healthy subjects (10) was the considerably smaller PEFm (3.6 vs. 11.4 l/s) and smaller Ppeak (3.7 vs. 6.7 kPa). One might argue that the smaller PEFm was due to a smaller effort, but this is not true. Studies of isovolume pressure-flow curves in normal subjects and in patients with COPD indicate that PEFm and Ppeak will both decrease with increasing obstruction, and this decrease is independent of the muscle strength (13). The maximal PA in the emphysema subjects (read from Fig. 3) was ~9 kPa, whereas in the healthy subjects it was previously found to be ~15 kPa (10). This discrepancy could be due either to the higher mean age of the patients compared with the healthy subjects (66 vs. 43 yr) or to the chronic pulmonary disease (3).
In the present study, we did not let the patients do complete FVC maneuvers during the repeated blows because that would have been physically very demanding for them. Instead, we asked the patients to relax after 4 to 5 s of maximum effort. The average total volume expired, measured at the mouth with and without added resistances, was only 1.41 ± 0.59 liters, and as expected this was much smaller than the pretest values in Table 1 (2.35 ± 0.73 liters).
One of the key questions initiating this investigation was
whether a lower Ppeak would diminish gas compression in the lungs of
COPD patients and whether this might be counterbalanced by the
increased TGV. The increase in PA caused TGV at
PEFm to decrease by 0.08 ± 0.10 liters
(n = 15). In the previously studied healthy subjects
(10), the decrease was 0.24 ± 0.09 liters
(n = 10). However, the absolute TLCs were not
significantly different between the two groups (6.9 ± 1.6 vs.
7.2 ± 0.9 liters), despite the TLC of the patients being
significantly higher than predicted (+1.7 ± 1.5 SR for the
patients vs.
0.5 ± 0.6 SR for the healthy subjects). The degree
of compression, therefore, is smaller in the patients than in the
healthy subjects only because the PA is smaller. It is
remarkable, however, that a decrease of TGV by only 80 ml can cause PEF
to decrease significantly from 3.6 to 3.2 l/s, i.e., by ~10%.
Our results are in perfect agreement with those of Campbell et al. (1), who in 1957 examined five emphysematous subjects with a mean PEF of 2.3 l/s and a corresponding transpulmonary pressure of 1.8 kPa. They explained this in terms of critical narrowing occurring at lower pressures and more peripherally in patients with emphysema than in normal subjects.
Application of the wave-speed theory of flow limitation
(2) to the data from the patients here and the healthy
subjects (10) offers a possibility to explore the
mechanisms behind the findings. In the APPENDIX, a
four-constant parameteric model is described with upstream frictional
resistance (Rfr), downstream resistance (Rd), airway compliance (Caw),
and airway cross-sectional area at zero transmural pressure
(A0) as independent variables, with the
assumption of the simplest possible relationship, a straight line,
between airway cross-sectional area (A) and transmural
pressure (Ptm). Applying a range of Ptm as input, it is
possible to calculate corresponding values for the maximum expiratory
flow or
ws, Pel, and PA, as described in the
APPENDIX regarding the equations shown in Fig. 5. On the
other hand, knowing related values of
ws and PA, and
assuming values of Pel and Ptm, then Caw, A0, and Rd can be calculated for a range of values of Rfr. Table
3 shows values that satisfy the
wave-speed conditions and are in accordance with the model. For the
healthy subjects not blowing through a peak flowmeter, the values for
Caw, A0, and Rd calculated from the model are in
close agreement with values measured in healthy young subjects
(9). Blowing through the PEF meter is assumed to reduce
Pel from 2.0 to 1.7 kPa because of gas compression in the lungs but not
to change Ptm at the choke point (CP). For the patients with no PEF
meter, it is assumed that Pel is 0.3 kPa (4), that Ptm is
1 kPa, and that blowing through the PEF meter reduced Pel to 0.2 kPa.
It is likely that the patient airways are narrower than those of
healthy subjects, and because of a more peripheral CP in the patients
we assume that Rfr is the same as in the healthy subjects. In that
case, Caw becomes considerably larger, A0
becomes slightly smaller, and Rd becomes larger than in healthy
subjects, consistent with a more peripheral location of the CP. For
each choice of Rfr, Pel, and Ptm, there is one solution for Caw,
A0, and Rd. Smaller chosen values of Rfr imply smaller values of Caw and A0 in this model. The
Rfr value with the PEF meter was chosen so that both Caw and
A0 at CP were minimally changed, and in that
case only a minimal increase in Rfr was seen.
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The model correctly predicts an increase in Rd, and this increase is
not statistically different from the increase in total resistance
actually caused by the PEF meter. It should be noted that Rfr is not
identical to the upstream resistance in the terminology of
Fessler and Permutt (4), because the latter includes
resistance due to convective acceleration of the air in the narrowing
airway. Furthermore, their critical transmural pressure (Ptm) is an
extrapolated value defining the Ptm when the airway is just closed, and
this is not the Ptm at CP. In our model, the relationship between Ptm and cross-sectional area (the "tube law") is described by a
straight line and is only valid for the situation at PEF. Therefore,
extrapolation to other flow values should be done with caution. Figure
4 shows the individual relationships
between PEFm and corresponding PA for the
patients and the previously described healthy subjects (10) with and without PEF meter added as resistance. The
means for the two groups and conditions are plotted separately. The curves describing the relationships between
max and
PA according to the model in the APPENDIX were
calculated from Table 3 and seem to fit the experimental data fairly
well, especially for the patients, but similar good fits could be
obtained with other combinations of values.
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From the wave-speed theory of flow limitation (2) used in
our model, it can be predicted that the
max will decrease with 1) lower elastic recoil of the lung, 2) smaller
cross-sectional area at the CP, 3) increased Caw at this
point, and 4) increased pressure loss upstream of this point.
We conclude that, from among these factors, the lower PEF recorded with
the added resistance of a mini-Wright PEF meter found in both patients
and healthy subjects is most likely caused by decreased Pel, which is
consequent from compression of the TGV and leads to PEF being achieved
at a lower lung volume. Although a concomitant increase in
peripheral pressure loss due to volume dependence of the airway size is
a further possible explanation, this could not be reconciled in the
present model. The best explanation seems to be that the decreased Pel
leads to a smaller
ws and accordingly a smaller PEF. Therefore,
PEF meters should have as low a resistance as possible to avoid this
reduction in PEF reading.
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APPENDIX |
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A Four-Parameter Model Describing Flow Limitation During Maximal Forced Expiration
It follows from the wave-speed theory of flow limitation (2) that there are three main factors that determine maximum expiratory flow. These are the Pel, the Pfr upstream of the CP, and the tube law, which relates the distending Ptm to the A at the CP. It is assumed that the tube law is known in terms of a mathematical relationship between Ptm and A, and the simplest relationship is a straight line (see Eq. 1 in Fig. 5). The four parameters in the model are Rfr, Caw at the CP, A0, and Rd. Studies in humans (9) have shown that these can be derived from measurements of
at the mouth, the esophageal pressure which is
taken to represent pleural pressure (Ppl), and bronchial pressures as
shown in the upper part of Fig. 5, with PT being the
impaction pressure and Plat the lateral airway pressure.
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The straight-line tube law (Fig. 5, bottom; Eq. 1) is defined by the Caw and the A0.
Equation 2 in Fig. 5 defines the relationship between the
ws and the tube law (Eq. 1) where
is the gas
density. Equations 3 and 4 define the pressure
losses due to Rfr and Rd. The pressure drop due to convective
acceleration (Pca) is defined in the Bernoulli equation (Eq.
5). Equations 6 and 7 are derived from the
pressure diagram in the upper part of Fig. 5, by applying Kirchoff's
law, and Eqs. 8 and 9 follow directly from this diagram.
The parameters in boldface are those that define the model. By solving
a number of equations for a series of possible Ptm values, it is
possible to calculate relationships among
max and Pel, Ppl, Ptm,
Pfr, PA, the pressure head (J) at the CP, and the pressure
loss (Pd) due to Rd. In this way the relationships between
ws
(i.e.,
max) and PA shown in Fig. 4 were calculated. The model is always valid for the Ptm at which the parameters are
derived, but the model can to a certain extent be applied to explain
flow limitation under different circumstances.
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ACKNOWLEDGEMENTS |
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We thank Dr. Sue Hill for use of the facilities of the Lung Resource Unit at the University Hospitals Trust, Birmingham, UK, and Joanna Harrison and Jodie Carter for technical assistance. We furthermore thank Thorkild F. Pedersen for help with the data acquisition and calculation software.
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FOOTNOTES |
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The study was supported by the European Economic Community (agreement MAT1-CT 93032).
Address for reprint requests and other correspondence: O. F. Pedersen, Dept. of Environmental and Occupational Medicine, Bldg. 260, Univ. of Aarhus, DK-8000 Aarhus C, Denmark (E-mail: ofp{at}mil.au.dk).
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. §1734 solely to indicate this fact.
Received 16 June 1999; accepted in final form 29 February 2000.
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