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ABSTRACT |
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The use of esophageal and gastric balloons limits measurement of
the tension-time index of inspiratory muscles (TTI) during exercise. The aim of this study was to assess whether a noninvasive tension-time index, TT0.1, given by P0.1/PImax × TI/Ttot (where P0.1
is mouth occlusion pressure, PImax is maximal inspiratory pressure,
and TI/Ttot is duty cycle) could reliably assess TTI during exercise.
In seven healthy young men and nine patients with COPD we
measured TT0.1 and TTI (i.e.,
/Pesmax × TI/Ttot where
is
mean esophageal pressure and Pesmax is maximal static Pes) at rest
and during an incremental exercise test. A significant linear correlation (p < 0.02) was found between TT0.1 and TTI in all normal
subjects and patients with COPD. An equation for estimating TTI
from TT0.1 was established for each group. In the normal subjects
there was good agreement between estimated and observed data.
In five additional normal males studied prospectively, the agreement was also satisfactory and reproducible. In the COPD patients
the agreement was poor. In conclusion, in young healthy subjects
the changes in TT0.1 during exercise reflect the changes in TTI, allowing satisfactory estimation of TTI from noninvasive measurements of TT0.1.
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INTRODUCTION |
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Inspiratory muscle function during exercise has been extensively studied in normal subjects and patients with cardiorespiratory diseases. The tension-time index of the diaphragm, introduced by Bellemare and Grassino (1, 2), has been assessed
during exercise in normal subjects with or without supplemental oxygen administration (3) and with or without restrictive
loads (4), as well as in patients with chronic heart failure (5).
During exercise, normal subjects and patients with chronic obstructive pulmonary disease (COPD) preferentially increase
rib cage muscle pressure contribution to meet the ventilatory
demands (6). In this case the global activity of the inspiratory
muscles can be assessed by a tension-time index of inspiratory muscles (TTI), given by the equation
/Pesmax × TI/Ttot,
where
is mean inspiratory esophageal pressure,
max is
maximal static Pes, TI is inspiratory time, and Ttot is total duration of the breathing cycle. Such a tension-time index, based
on esophageal pressure, has also been used in normal subjects
and patients with COPD (7). These two indices have been
used to assess not only the risk of inspiratory muscle fatigue
(3), but also the inspiratory muscle effort (5, 7, 8), and they
may therefore provide useful information on mechanisms involved in exertional dyspnea (8, 9). Since such studies are invasive because they require the use of a gastric or esophageal
balloon, or both, they cannot be used in a large number of subjects and thus are not used routinely in clinical assessment.
Our group has validated a noninvasive index of inspiratory
muscle activity (TTMUS) based on measurement of mouth pressure in resting healthy subjects and patients with COPD (10).
In this index, the mean inspiratory pressure (PI) is derived
from measurement of the mouth occlusion pressure (P0.1) according to an equation proposed by Gaultier and coworkers:
PI = 5 P0.1 × TI (11). In this equation the rise in pressure during inspiration is approximated by a single power function of
time, assuming a linearly increasing pressure profile. In resting
conditions this method has been shown to be useful in assessing inspiratory muscle function in healthy children and adults
and in patients with cystic fibrosis or adults with COPD (12,
13). However, during exercise in healthy subjects and patients
with COPD, the pressure-time course has been shown to exhibit an upward convexity (14, 15). When the inspiration driving pressure increases nonlinearly with respect to time, the PI
is overestimated by extrapolating the P0.1 over the entire TI.
The use of this initial method (10) during exercise may thus
lead to a marked overestimation of the actual mean pressure
developed by the inspiratory muscles. The continuing need for
a noninvasive approach thus led us to modify this method. We
previously reported a significant correlation at rest between
P0.1 and
in normal subjects and patients with COPD (10).
Hussain and coworkers (16) showed in healthy subjects during
exercise that P0.1 accurately reflects the changes in activity of
the major inspiratory muscles. Therefore, in the present study we investigated whether a noninvasive tension-time index, in
which changes in P0.1 alone are used to assess changes in
,
would be reliable to assess the overall inspiratory muscle activity during exercise. This index, labeled TT0.1, is given by P0.1/ PImax × TI/Ttot, where PImax is the maximal inspiratory pressure. The aim of this study was to assess the validity of TT0.1
during exercise in normal subjects and patients with COPD.
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METHODS |
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Subjects
We first studied nine male patients with COPD and seven male normal volunteers whose anthropometric characteristics and lung function data are given in Table 1. The diagnosis of COPD was made according to the American Thoracic Society guidelines (17). The patients were free from other cardiopulmonary disease, and at the time of the study all were in a clinically stable state without exacerbation for at least 1 mo. Predictability and reproducibility of our method were evaluated in another group of five normal males having characteristics similar to those described in Table 1. The study was approved by the local ethics committee, and each subject gave informed consent.
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Measurements
In the patients with COPD the TLC and the FRC were measured with the helium dilution method (Pulmonet III; SensorMedics, Anaheim, CA). FEV1 and FVC were measured in all subjects according to standard spirographic technique and procedures (18). The predicted values were those of the European Community for Steel and Coal (18).
Subjects were studied while breathing through a one-way low-resistance valve (0.9 cm H2O · L
1 · s; dead space: 50 ml; Warren E. Collins Inc., Braintree, MA). Flow was measured with a pneumotachograph (No. 3; Fleisch, Lausanne, Switzerland) placed on the inspiratory line of the valve connected to a differential pressure transducer (Model MP45, ± 2 cm H2O; Validyne Corp., Northridge, CA).
Tidal volume (VT) was obtained by integration of the flow signal. A
noncommercial silent electromagnetic valve, made in the laboratory
of Dr. J. Milic-Emili (Meakins-Christie Laboratories, Montreal, QC,
Canada), was used to perform mouth occlusions. The valve was
placed on the inspiratory line of the one-way valve, and was closed
during expiration and opened automatically ~ 150 ms after the onset
of the occluded inspiration. The pressure during occluded inspirations
was measured with a MP45 (± 35 cm H2O) Validyne differential pressure transducer and a model CD 15 carrier demodulator (Validyne
Corp., Northridge, CA).
Esophageal pressure was measured with an 8-cm-long, thin-walled latex balloon attached to a polyethylene catheter (1.4 mm interior diameter, Marquat, Boissy-St-Leger, France) positioned in the lower third of the esophagus (19). The catheter was connected to one side of a MP45 (± 150 cm H2O) Validyne differential pressure transducer, with the other side open to the atmosphere. Gastric pressure (Pgas) was also measured in the patients with COPD using an 8-cm-long thin-walled latex balloon positioned in the stomach. With this equipment, flow and pressure measurements were not affected by phase shift or alteration in amplitude up to 20 Hz.
The PImax and Pesmax pressure were measured at FRC in the sitting position with a MP45 (± 300 cm H2O) Validyne differential pressure transducer, using the technique of Black and Hyatt (20). All normal subjects but one and all patients with COPD had no previous experience of these maneuvers. Therefore, great care was taken to fully explain the procedures. This was facilitated by the use of an oscilloscope (Gould Inc., Cleveland, OH) which provided a visual feedback to the subjects during the explanations and during the maneuvers. The subjects were asked to perform a maximal inspiratory effort against an occluded airway and to maintain the maximal pressure for at least 1 s. Repeated measurements were made until 3 technically satisfactory and reproducible measurements were obtained (variation < 10%). The reported data represent the best values.
The exercise test was performed on a bicycle ergometer (Ergometer 990; Bodyguard Jones AS, Sandnes, Norway). During the test, the
subjects wore a nose clip and breathed through the valve, which was
connected to a breath-by-breath automated exercise metabolic system
by the expiratory circuit (CPX; Medical Graphics Corp., St. Paul,
MN). Oxygen uptake (
O2), carbon dioxide output, and respiratory
ratio were continuously measured using the CPX. Before each test,
the gas analyzers were calibrated with two gas mixtures of known oxygen and carbon dioxide concentration. The data were averaged during
the last 20 s of each load over an integral number of breaths. The electrocardiogram was monitored with a cardioscope (Personal 120; Esaote-Biomedica, Florence, Italy).
Protocol
After the lung function measurements, the normal subjects and patients with COPD underwent tests with pressure measurements. After insertion of gastric or esophageal balloons, or both they were studied at rest seated on a chair. After they had been accustomed to the experimental equipment (mouthpiece and nose clips), and the respiratory ratio was stable, ventilatory and pressure parameters were recorded for 5 min. At least 10 occlusions were then performed in each subject, at the rate of 2 to 3 per min. During another 5-min period the measurements were repeated. The subjects performed the PImax and Pesmax maneuvers after a 5-min period.
The subjects next performed an incremental exercise test on a cycle ergometer. Measurements at rest were obtained after a 5-min resting period on the cycle, after a stable respiratory ratio was attained. This was followed by a 3-min 20-W warm-up period for the patients with COPD and 30 W for the control subjects. The workload was then increased in steps of 10 W every 90 s for the patients with COPD and 30 W every 90 s for the control subjects, until exhaustion. All subjects were encouraged to exercise until they felt unable to continue. At each level of exercise, a 90-s period was needed to obtain the measurements of respiratory gas exchange, breathing pattern, mouth and esophageal pressure, and P0.1.
Analysis
All signals were displayed on a Gould ES1000 recorder (Gould Inc.,
Cleveland, OH) with a paper speed of 10 to 25 mm · s
1 for measurements of ventilatory and pressure parameters, and of 100 mm · s
1 for
measurements of mouth occlusions.
At rest, VT, respiratory frequency (f), minute ventilation (
E), TI,
Ttot TI/Ttot, and
were determined from an average of 10 respiratory cycles before and after the mouth occlusion measurements. TI
and Ttot were obtained from the flow signal. The P0.1 value at rest corresponds to the average of all measurements.
During exercise, the ventilatory and esophageal pressure parameters were determined from an average of 10 respiratory cycles during the last minute of each workload. The exercise P0.1 represents the average of 3 to 5 measurements made during this period.
The
was obtained by averaging the pressure at intervals of 200 ms during the inspiratory phase, after the point of zero flow. The
mean inspiratory transpulmonary pressure (PItp) was also calculated,
by subtraction of the mean inspiratory mouth pressure from
during the inspiration.
In the patients with COPD we also estimated the threshold pressure imposed by the dynamic intrinsic positive end-expiratory pressure (PEEPidyn). However, this pressure may represent the combined
effects of dynamic pulmonary hyperinflation and abdominal muscle
activity (21). The latter is reflected by a rise of Pgas during expiration
followed by a fall at the beginning of the inspiratory effort (21).
Therefore PEEPidyn was measured as the amount of negative deflection of
preceding the start of inspiratory flow, i.e., the point of the
zero flow. Although the accurate method to correct PEEPidyn is still
debated (21), we corrected PEEPidyn for the expiratory muscle activity, if necessary, using a method in line with previous investigators
(21) by subtracting from its value the fall of Pgas during the time
interval from the onset of inspiratory effort to the point of zero flow.
From the above data, we obtained P0.1/PImax and
/Pesmax. From
these, we computed the tension-time index based on the esophageal pressure, TTI (
/Pesmax × TI/Ttot), where PImax and Pesmax represent the values obtained at rest before the exercise test. From the P0.1/PImax
ratio we also calculated an index labeled TT0.1, which is given by P0.1/
PImax × TI/Ttot.
Estimation of TTI from TT0.1
In both groups we determined the individual linear regression equation of TT0.1 to TTI. This was done for each subject by using the data
obtained at rest and at each exercise workload. The mean intercepts
and slopes of these linear correlations were calculated for each group.
We used these mean values to establish in each group an equation of
TTI from TT0.1. Using this equation we calculated for each subject the
estimated TTI (TTIestim) using the actual TT0.1 value at rest, at a workload corresponding to approximately 50% of maximum (0.5
max)
and at maximal exercise (
max). The second group of five young
normal subjects underwent a similar incremental exercise test. In this
group we estimated TTI prospectively using the estimating equations
determined on the first group of normal subjects, and compared these
estimates to the corresponding experimental values. In four of these
subjects a second exercise test was made within a 1-wk period to assess the reproducibility of the results.
Statistics
Values are expressed as mean ± SD. The Students t test for unpaired
observations was used for between-group comparisons after confirmation of the normality distribution (Kolmogorov-Smirnov test) and
the equality of variance (Levene median test). When these conditions
were not met, a Mann-Whitney rank-sum test was used. Linear regression analysis was used to study the relationship between the different noninvasive and invasive pressure parameters (i.e., P0.1 versus
, P0.1 versus PItp, P0.1 versus
+ PEEPidyn, P0.1/PImax versus
/
Pesmax, and TT0.1 versus TTI). Comparison between observed and estimated TTI values was performed by means of the limits of agreement
(24). Values of p < 0.05 were considered significant.
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RESULTS |
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Respiratory variables at rest, 0.5
max, and
max obtained
in the normal subjects and patients with COPD are shown in
Tables 234. In all normal subjects and patients with COPD
there was a significant linear correlation (p < 0.02, Table 5) of
P0.1 to
and PItp, of P0.1/PImax to
/Pesmax, and of TT0.1 to TTI. The individual P0.1 versus
+ PEEPidyn correlation was also significant in all patients with COPD. Figure 1 shows the relationship between P0.1 and Pes, and between TT0.1 and TTI, of a representative normal subject and a patient with COPD.
Figure 2 shows the corresponding individual regression lines
in all normal subjects and patients with COPD. In the normal
subjects the individual regression lines were close to each
other. This was also the case for all but one patient with
COPD. In this patient the linear correlations of P0.1 to
and
of TT0.1 to TTI were, however, significant (p < 0.01). Therefore, the intersubject slope variability was relatively low in
normal subjects compared to patients with COPD. Using all
subjects of each group, we calculated the mean intercepts and
slopes of the aforementioned linear correlations for the normal and the COPD groups (Table 5). For each group we used
these mean values to establish an equation of TTI from TT0.1.
Figure 3 shows in both groups the plot of the difference against
the average of estimated and observed TTI values at rest, 0.5
max, and
max. The limits of agreement are represented
by dotted lines. The mean difference of TTIestim versus TTI was
0.004 ± 0.01 for the normal group and 0.01 ± 0.02 for the
COPD group. The limits of agreement of TTIestim versus TTI
ranged from
0.02 to 0.01 for the normal group and from
0.03
to 0.05 for the COPD group. When the aforementioned patient
with COPD was removed from the analysis, the patient limits of
agreement were tighter (TTIestim versus TTI, range:
0.03 to 0.03).
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The additional group of five normal subjects also showed
significant linear correlations for all of the previously mentioned parameters (i.e., P0.1 versus
, P0.1 versus PItp, P0.1/
PImax versus
/Pesmax, and TT0.1 versus TTI; all p < 0.01). In
this group, the values of TTIestim were calculated at rest and at
all exercise workloads, using the equations derived from the
first group of normal subjects. The limits of agreement ranged
from
0.019 to 0.014 for TTIestim versus TTI. The reproducibility of these results was assessed in four of these normal subjects who performed a second exercise test. Figure 4 shows the
individual TT0.1 versus TTI regression lines obtained during the
two tests. Figure 5 shows the limits of agreement for TTIestim
versus TTI obtained during the second test (range:
0.018 to
0.012, Figure 5B), which were similar to those of the first test
(Figure 5A), and to those of the first group of normal subjects
(Figure 3A).
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DISCUSSION |
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The aim of this study was to establish a noninvasive approach
to assess the TTI during exercise. In all normal subjects and patients with COPD, P0.1 was linearly related to
during exercise. In each normal subject and each patient with COPD, we
showed that a noninvasive tension-time index (TT0.1) determined from P0.1, which uses the P0.1/PImax ratio as the "tension"
component, was also linearly correlated to TTI. On seven normal subjects and nine patients with COPD, we established an
equation for estimating TTI from TT0.1. The limits of agreement between estimated and observed values were wide in the
COPD group but tighter in the normal group. In five additional normal subjects, the limits of agreement between observed and prospectively estimated TTI values were also tight.
Furthermore, the results from two repeated tests in normal
subjects were found to be reproducible.
A noninvasive tension time index of overall inspiratory
muscle activity (TTMUS) has been previously validated by Ramonatxo and coworkers (10) in resting healthy subjects and patients with COPD. In this study, PI was obtained from the
measurement of P0.1 according to the equation proposed by
Gaultier and coworkers (11). The pressure needed to inspire a
breath, P, is equal to a × tb where a is a constant corresponding to the value of P at 1 s (cm H2O), t is time, and b a dimensionless constant representing the shape of the pressure profile. If inspiratory pressure increases linearly with time, b = 1 and PI = a TI/2. For a = 10 P0.1, PI = 5 P0.1 × TI (10). However, during exercise, in both healthy subjects and patients
with COPD the shape of the inspiratory pressure profile is not
linear (14, 15). Indeed, while the pressure-time course has
been shown to be almost linear at rest, it exhibits an upward
convexity during exercise (14, 15). Assuming that the shape of
the pressure profile is linear during exercise and using the
equation 5 P0.1 × TI, the error between PI and
would be
markedly accentuated over the entire inspiratory time. However, in the present study we found a linear relationship between P0.1 and
, and hence between TT0.1 and TTI. This reflects the fact that, at least in normal subjects, both P0.1 and
increase proportionately during exercise. Based on a complex but comprehensive model analysis that took into account
most of the mechanical and neural factors involved in the control of breathing, Younes (25) computed the increase in
that would reproduce the average ventilatory output observed
in normal subjects at different levels of exercise. According to
his computations,
/Pesmax should increase curvilinearly
with increasing exercise level. Our measurements of noninvasive
in the normal subjects closely fit this prediction. In
our subjects, the relationship of P0.1 and P0.1/PImax to
was
also curvilinear with augmenting
. Our values of P0.1 during exercise were superimposed on the relationship previously reported by Hussain and coworkers for normal subjects during
exercise (16). Because in normal subjects P0.1 and
increase
proportionately with increasing
, a linear relationship of P0.1
to
is found. Accordingly, at least in normal subjects, TTI
can be assessed noninvasively based on measurements of the
mouth occlusion pressure. In this connection it should be
noted that Hussain and coworkers (16) have also shown that
in healthy subjects during exercise P0.1 reflects the changes in
activity of the major inspiratory muscles.
In each normal subject, we found a significant linear correlation between P0.1 and
during exercise (Figure 1, Table 5). All the parameters derived from P0.1 were also significantly correlated to the corresponding invasive parameter. A good agreement without systematic bias was found between estimated and
measured TTI in the seven normal subjects (Figure 3) when we
used the estimating equations established on the same subjects
(Table 5). Similar results were obtained when the aforementioned analysis was made prospectively on a limited sample of
five additional normal subjects (Figure 5). These results are in
line with several studies that have assessed the ability of mouth
pressure to reflect esophageal pressure in healthy subjects.
Hamnegard and coworkers (26) showed that P0.1 is closely related to the maximal rate of change in esophageal pressure in
normal subjects during CO2 rebreathing. Yan and coworkers
(27) demonstrated the accuracy of twitch mouth pressure
(Pawtw) to predict twitch esophageal pressure (Pestw) after electrical phrenic stimulation. Using magnetic bilateral phrenic
stimulation (28) or cervical magnetic stimulation (29), it has
also been shown that Pestw can accurately be predicted from
Pawtw during inspiratory maneuvers, i.e., when the diaphragm is
not relaxed. As will be discussed subsequently, in all these studies the main explanation is that normal subjects show a sufficiently short time constant to allow equilibration between alveolar and mouth pressure. This is unlike patients with COPD,
who present impaired respiratory mechanics (i.e., airway obstruction, dynamic hyperinflation, slow and imperfect equilibration of mouth with esophageal pressure).
In a small group of normal males we found a reproducible relationship between noninvasive and invasive measurements of TTI (Figure 4), and a close agreement for the estimation of TTI on repeated tests (Figure 5). Although based on a limited sample, our results are encouraging, suggesting that our noninvasive method for measuring TTI can be used to assess inspiratory muscle activity repeatedly over time, at least in young healthy subjects. However, for this method to be generalized to the whole normal population, the accuracy of our estimating equations should be verified with respect to age, sex, and weight. Finally, it has been recently pointed out that there is a need for noninvasive methods to study inspiratory muscle fatigue after high-intensity exercise (30). The usefulness of our method could therefore be assessed in this context.
In patients with COPD, however, we found a wider variability in the relationship between invasive and noninvasive parameters (Figure 2 and Table 5). As a consequence, the estimating equation of TTI from TT0.1 resulted in weak agreement
between estimated and observed data in the COPD group
(Figure 3). This variability in the
versus P0.1 slope among
patients means that for a given P0.1 value,
may differ
among patients with COPD. It is possible from several studies
to explain these results. Indeed, several investigators have reported differences between mouth occlusion pressure and iso-time esophageal pressure in patients with COPD (31). This
has been attributed to slow and imperfect equilibration of
mouth with esophageal pressure (31, 32) as a result of airways
obstruction and upper airways compliance (32). Marazzini and
coworkers (31) attributed this difference to a delay in equilibration of pressure within the airways, because of lung units
with differing time constants. Murciano and coworkers (32) argued that this difference was likely to be due to compliance of
the upper airways in severe intubated patients with COPD. Elliott and coworkers (33) also argued that the time delay in the
fall of esophageal pressure from end-expiratory esophageal
pressure is variable among patients with COPD, and therefore
P0.1 is measured at different times after the activation of inspiratory muscles. The P0.1 can also be partially produced by
the relaxation of expiratory muscles (34). The difference between inspiratory muscle contraction and expiratory muscle relaxation cannot be inferred from mouth pressure changes, and
this therefore represents a potential additional factor influencing the
versus P0.1 relationship. In addition to these factors
linked to impaired respiratory mechanics, Elliott and coworkers (33), who found P0.1 to be higher than Pes0.1 in some patients with severe COPD, proposed a glottis closure while patients exerted a negative pressure with pharyngeal or cheek
muscles, which may have explained this difference.
Other researchers have also examined the relationship between mouth and esophageal pressure in patients with COPD.
Using electrical or magnetic phrenic stimulation in patients
with severe COPD, two studies have been able to assess the
ability of Pawtw to predict Pestw. Similowski and coworkers (35)
showed that by superimposing bilateral nerve stimulation upon
inspiratory muscle efforts, i.e., when the diaphragm is not relaxed, there was a good correlation between Pawtw and Pestw.
They concluded that it is possible to record at the mouth an index closely reflecting the effect of diaphragmatic contraction
on pleural pressure. Recently, however, Topeli and coworkers
(36) reported more conflicting results in a group of patients
with severe COPD in whom magnetic stimulation of the
phrenic nerves was delivered during gentle inspiratory efforts.
They found a strong correlation between Pawtw and Pestw, but
wide limits of agreement, and concluded that making predictions of Pestw from Pawtw was unreliable. Nevertheless, by
looking at their results (see Figure 4 in Reference 36) it is possible to distinguish in their patients two different subgroups. For
one subgroup (11 patients) the mean difference between Pawtw
and Pestw appears to be close to zero (cm H2O), and the limits
of agreement seem to be tight. For the second subgroup of two
patients, it is possible to deduce a strong correlation between
Pawtw and Pestw but a mean difference of approximately 5 cm
H2O. Interestingly, our results are in line with the latter study.
Indeed, the estimating equation from noninvasive data was not
reliable to predict the index given by the invasive method when
we considered the entire COPD group. However, from individual
versus P0.1 or TTI versus TT0.1 relationships, shown in
Figure 2, it can easily be seen that one of the nine patients had
a clearly different slope compared with the other patients. For
this patient with COPD, we did not find a clear explanation for
this difference. He had no other disease such as abdominal
obesity, kyphoscoliosis, or pachypleuritis that would have explained his particular pattern of pressure, and the severity of
his airway obstruction was not different from the mean group
value. In fact this patient showed a
versus P0.1 relationship
closer to that of the normal group. When we removed this subject from the calculations, we had narrower limits of agreement
and, therefore, a more reliable estimation. In their discussion,
Topeli and coworkers (36) suggested that in some patients with
COPD, inefficient inspiratory action of the diaphragm, variability in rib cage distortion and variable recruitment of rib
cage muscles may explain the different relationships of mouth to esophageal and transdiaphragmatic pressure. Therefore,
from the present study and from the study of Topeli and coworkers (36), it appears that in patients with COPD a single
equation cannot be used to estimate invasive parameters from
mouth pressure.
In conclusion, this study presents a noninvasive TTI during exercise, based on the measurement of P0.1. In the patients with COPD the agreement was too poor to allow satisfactory estimation of TTI based on TT0.1. In contrast, in young healthy subjects the changes in TT0.1 during exercise reflect the changes in TTI. Accordingly, TTI, which requires invasive measurements, may be estimated from mouth pressure measurements in such a population.
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Footnotes |
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Correspondence and requests for reprints should be addressed to Maurice Hayot, M.D., Laboratoire de Physiologie des Interactions, Service Central de Physiologie Clinique, Hôpital Arnaud de Villeneuve, 371 Avenue du Doyen Giraud, 34295 Montpellier cedex 5, France. E-mail: physio34{at}aol.com
(Received in original form December 13, 1999 and in revised form August 11, 2000).
Acknowledgments:
The authors thank Dr. L. Safont and A. S. Comtois for
their helpful assistance during this study.
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