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Anesth Analg 2006;103:650-657
© 2006 International Anesthesia Research Society
doi: 10.1213/01.ane.0000229777.80271.4a


CRITICAL CARE AND TRAUMA

Jukka Takala

Change in Expiratory Flow Detects Partial Endotracheal Tube Obstruction in Pressure-Controlled Ventilation

Rafael Kawati, MD, PhD*, Laszlo Vimlati, MD*, Josef Guttmann, PhD{ddagger}, Göran Hedenstierna, MD, PhD{dagger}, Ulf Sjöstrand, MD, PhD*, Stefan Schumann, PhD{ddagger}, and Michael Lichtwarck-Aschoff, MD, PhD*§

From the Departments of *Surgical, and {dagger}Medical Sciences, University Hospital, Uppsala, Sweden; {ddagger}Department of Anesthesiology and Critical Care Medicine, University Hospital, Freiburg, Germany; §Department of Anesthesiology and Critical Care Medicine, Klinikum Augsburg, Augsburg, Germany.

Address correspondence and reprint requests to Rafael Kawati, MD, Department of Surgical Sciences/Anesthesiology & Intensive Care, Uppsala University Hospital, SE-751 85 Uppsala, Sweden. Address e-mail to r.kawati{at}comhem.se.


    Abstract
 Top
 Abstract
 Introduction
 METHODS
 RESULTS
 DISCUSSION
 APPENDIX
 REFERENCES
 
Only extreme degrees of endotracheal tube (ETT) narrowing can be detected with monitoring of tidal volume (VT) during pressure-controlled ventilation (PCV). To assess the degree of ETT obstruction in PCV and to compare it to VT monitoring, we produced 3 levels of partial ETT obstruction in 11 healthy anesthetized piglets using ETTs of 4 different inner diameters (IDs 9.0, 8.0, 7.0, and 6.0 mm). An expiratory flow over volume (Ve–V) curve was plotted and the time constant ({tau}e) at 15% of expiration time (Te) was calculated. We also calculated the fractional volume expired during the first 15% of Te (Vex fract,15) and compared those variables to full expiratory VT for each of the 3 obstructions. VT monitoring failed to detect ETT narrowing. By contrast, Vex fract,15 decreased and {tau}e increased significantly with increasing ETT narrowing (for IDs 9.0, 8.0, 7.0, and 6.0, mean Vex fract,15 was 195, 180, 146, and 134 mL respectively and mean {tau}e was 380, 491, 635, 794 ms for IDs 9.0, 8.0, 7.0, and 6.0 respectively). We conclude that when the elastic recoil that drives Ve is appropriately considered, analysis of Ve and Vex fract,15 detects partial ETT obstruction during PCV.


    Introduction
 Top
 Abstract
 Introduction
 METHODS
 RESULTS
 DISCUSSION
 APPENDIX
 REFERENCES
 
With pressure-controlled ventilation (PCV), the ventilator delivers flow in a characteristic way: Starting with high initial rates, flow (V) decelerates rapidly and, depending on the set tidal volume (VT), frequency and inspiration-to-expiration (I:E) ratio, reaches zero or near zero level after 30% to 50% of inspiratory time has elapsed. In the case of a partial obstruction of the endotracheal tube (ETT), initial V cannot increase to the same level as with an unobstructed ETT, but full VT continues to be delivered because there is inspiratory no-flow time available that is now used for delivering V. To be able to continue delivering the full VT, a ventilator in PCV mode compensates for a partial ETT obstruction by extending the delivery time of V, if necessary until the end of the inspiratory phase that, with the unobstructed ETT, had previously been partially a no-flow phase. This compensatory mechanism is effective until inspiratory time becomes too short for the V required for full VT. VT will not decrease until this compensatory mechanism is exhausted, thus there will be no indication of ETT obstruction.

In other words, ventilators are not constructed to monitor the patency of the ETT and the breathing circuit. Monitoring VT implies integrating V during its entire delivery time. In contrast, monitoring for ETT patency implies analyzing how the V profile changes with obstruction, and this analysis is not implemented in modern respirators. This explains why VT monitoring is so poor at detecting ETT obstruction (1). Because partial ETT obstruction causes added work of breathing for a patient on assisted spontaneous breathing (2,3), the importance of reliably monitoring ETT patency is only now becoming more obvious.

Tung and Morgan (1) demonstrated that in PCV, VT does not decrease until the cross-sectional area of the ETT is reduced by almost 70%. In volume-controlled ventilation, Ppeak does not increase until the cross-sectional area of the ETT is reduced by 20%–60%, depending on the inspiratory V rate (4). An alternative to monitoring ETT patency with VT is monitoring the V signal of passive expiration.

In anesthetized piglets receiving PCV, we produced different levels of concentric narrowing along the length of the ETT (simulating partial ETT obstruction) by replacing the initially applied ETT of 9.0 mm inner diameter (ID) with 3 ETTs of smaller IDs (8.0, 7.0, and 6.0 mm). A volume-over-flow curve was plotted, and the expiratory time constant {tau}e (which is the first derivative of that curve or equivalent to resistance x compliance) was calculated at 15% of expiration time (Te). We also calculated the fractional volume expired during the first 15% of Te (Vex fract,15). We hypothesized that VT would not detect ETT narrowing, whereas an increase in {tau}e and a decrease in Vex fract,15 would. Because changes in compliance of the respiratory system (Crs) also affect the expiratory flow signal, we studied the impact of Crs on the expiratory flow rate in a physical model.


    METHODS
 Top
 Abstract
 Introduction
 METHODS
 RESULTS
 DISCUSSION
 APPENDIX
 REFERENCES
 
The study was conducted in accordance with the Helsinki convention for the use and care of laboratory animals. The local Ethics Committee for Animal Experimentation reviewed and approved the study. We studied 11 healthy male and female piglets of Swedish Landrace breed (mean ± sd body mass, 24.5 kg ± 1.0).

After premedication (tiletamine 3 mg/kg and zolazepam 3 mg/kg; xylazine 2.2 mg/kg; atropin 0.04 mg/kg IM), anesthesia was induced with 100–200 mg ketamine and 1 mg/kg morphine and maintained with ketamine infusion (30 mg · kg–1 · h–1) plus morphine infusion (2 mg · kg–1 · h–1). Neuromuscular block was produced by continuous infusion of pancuronium bromide at a rate of 0.25 mg · kg–1 · h–1. Animals received sodium chloride 4.5 g/L with glucose 25 g/L at 10 mL · kg–1 · h–1 and a 5 mL/kg bolus of dextran-70 (Macrodex 70; Pharmacia Infusion AB, Uppsala, Sweden) to insure normovolemia.

The trachea of the anesthetized piglets was first intubated with an ETT of 9.0 mm ID (Mallinckrodt, Athlone, Ireland). Subsequently, the 9.0 mm ID ETT was removed and replaced by an ETT of 8.0 mm ID, then 7.0 mm ID and, finally, 6.0 mm ID (corresponding to 26%, 43%, and 55% decreases in cross-sectional area compared with an ETT of 9.0 mm ID, respectively). In this way, 3 standardized levels of a pure concentric "obstruction" over the whole length of the ETT were produced stepwise. Pressure difference to ZEEP (zero end-expiratory pressure) was set constant throughout, and VT, as well as the volume expired within the first 15% of Te, was calculated by flow integration. The animals were placed in the supine position and their lungs ventilated by a Servo 300 ventilator (Siemens-Elema, Solna, Sweden) in the PCV mode with a PEEP (positive end-expiratory pressure) of 0 cm H2O, Fio2 of 0.4, and a ventilatory frequency of 18/min. Paco2 was 3.8 kPa ± 0.5 (mean ± sd), and there was an I:E ratio of 1:1.

The expiratory volume-flow (V–V) curve was analyzed as follows: the first derivative of the expiratory volume-flow relation (dV/dV) was calculated for each of the data points. The resulting curve has the dimension of time, and each data point equals the expiratory time constant {tau}e (compliance x resistance) at that particular lung volume. Any obstruction acts as a brake on expiratory V, increasing the time needed to empty the lung and thus increasing {tau}e, for which higher values are read from the expiratory dV/dV. The higher the V, the more pronounced the "brake" effect of an ETT obstruction, which makes early expiration, with its high flow, the appropriate segment of the dV/dV plot for detecting obstruction.

We decided to identify obstruction (i.e., the different IDs of the ETTs) by reading the value for {tau}e after 250 ms of Te (which, at the frequency and I:E ratio chosen, corresponded to 15% of Te). The choice of 15% of expiratory time or 250 ms was based on the following: 50% of the expiratory VT in ETT with ID 9.0 mm was exhaled in the first 15% of Te. We decided to use this somewhat arbitrary value of 15% of Te as the cut-off point to define obstruction. To eliminate the effects of inertia and of the opening and closing of the ventilator valves on the {tau}e analysis, we excluded the first 5% of the data points (corresponding to 80 ms of Te). The raw flow and volume data were smoothed in an Excel worksheet with a moving average of 20 data points.

Intrinsic PEEP was estimated from the difference between set PEEP and the pressure after a 5-s end-expiratory hold, and end-inspiratory pause pressure was also determined after a 5-s hold. Crs was calculated from VT divided by the end-inspiratory/end-expiratory pressure difference (intrinsic PEEP considered). Resistance of the respiratory system (Rrs), including the ETT, was calculated using the least squares fit technique (5,6).

Airway pressure was measured with a side-port at the site of the pneumotachograph and fed to a pressure transducer. V was measured with a heated Fleisch pneumotachograph (Pneumotach Amplifier Series 1110; Hans Rudolph Inc, Wyandotte, MO) placed between the ETT and the Y-piece. We also collected the flow signal from the ventilator and compared it to the pneumotachograph signal. Signals were sampled at 2000 Hz and fed to a data acquisition system (Acqknowledge, version 3.2.7, BioPac Systems, Inc, Goleta, CA) and then exported to an MS Excel worksheet for offline data analysis.

The impact of Crs on {tau}e was studied in a physical model described in the Appendix.

All values are expressed as mean ± sd. P values for difference in time-related variables were assessed using the paired Student’s t-test. Significance between variables was decided according to the false discovery rate procedure (FDR) (7).


    RESULTS
 Top
 Abstract
 Introduction
 METHODS
 RESULTS
 DISCUSSION
 APPENDIX
 REFERENCES
 
There was a significant increase in {tau}e at 15% of Te for ETT IDs 6.0 (794 ± 166 ms), 7.0 (635 ± 248 ms), and 8.0 (491 ± 125 ms) compared with ID 9.0 (380 ± 87 ms) (Table 1). There was no significant decrease of VT for the 3 steps of ETT narrowing (392 ± 45 mL for ID 6.0, 399 ± 41 mL for ID 7.0, and 398 ± 29 mL for ID 8.0, compared with 392 ± 31 mL for ID 9.0) (Table 1). On the other hand, there was a significant decrease of Vex fract,15 for ID 6.0 (134 ± 9 mL), ID 7.0 (146 ± 10 mL) and ID 8.0 (180 ± 14 mL) compared with ID 9.0(195 ± 17 mL) (Table 1). With ETT ID 9.0, 50% of VT was exhaled in the first 15% of Te, whereas with ID 6.0 it was only 34% of VT. Crs did not change significantly, whereas Rrs increased significantly with each step of ETT narrowing (Table 2).


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Table 1. {tau}e, VT and Vex fract,15 with ETT ID 9.0–6.0 mm

 

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Table 2. Parameters of Lung Mechanics

 

There was good agreement between the flow signal from the pneumotachograph and the flow signal obtained from the ventilator (Fig. 1).


Figure 123
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Figure 1. Expiratory flow signal obtained from the pneumotachograph (black line) compared with expiratory flow signal from the Servo 300 ventilator (dotted gray line) in a representative animal.

 


    DISCUSSION
 Top
 Abstract
 Introduction
 METHODS
 RESULTS
 DISCUSSION
 APPENDIX
 REFERENCES
 
The main finding of this study was that {tau}e of early expiration increased and Vex fract,15 decreased with each of the 3 steps of ETT obstruction. In contrast, VT did not decrease with decreasing ETT ID, although Rrs increased by 260% for ID 6.0 compared with ID 9.0 (Fig. 2).


Figure 223
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Figure 2. Relative changes (ETT ID 9.0 = 100%) in airway resistance (Rrs) (gray boxes); expiratory time constant ({tau}e) (diamonds) and tidal volume (VT) (filled circles) with decreasing inner diameter (ID) of endotracheal tube (ETT). Values are mean ± sd.

 

Higher degrees of sudden ETT obstruction caused by kinking or blocking of the ETT represent a medical emergency and should be treated immediately. These situations are almost always detected by the traditional warning signs of ETT obstruction (i.e., decreased or zero volume delivered with PCV). In contrast, lower grades of obstruction caused by formation of biofilm or adherence of secretions to the inner surface of the tube may go unrecognized (1,4,8). It is important that simple tools be developed to identify these situations at the bedside so that patients can be treated promptly, thus reducing morbidity (9,10).

Recently, Visaria and Westenskow (11) presented a model-based method for detecting partial ETT obstruction. Conceptually, this method distinguishes between tube obstruction and acute bronchial constriction. The method is appealing because it is noninvasive and works in real time. However, it is first necessary to confirm that the rules for detecting tube obstruction, which are empirically derived from a pattern of parameter changes of the five-element lumped model of Eyles and Pimmel (12), are fulfilled under a broad range of clinical conditions. The latter model has been challenged by other researchers, however (13).

In previous research, we divided the expiratory volume-flow (V–V) curve into 5 slices and calculated {tau}e values for each of the 5 slices, detecting partial ETT obstruction by an increase of {tau}e in the early expiration and no or a lesser degree of increase towards the end of expiration (4,14,15). Compared with the "SLICE" approach, the model presented here avoids the assumption that {tau}e is linear for narrow slice segments of the V–V curve. One single value ({tau}e at 15% of Te) instead of {tau}e for 5 slices is indicated. Alternatively, the obstruction-induced deceleration of expiratory flow can be described by the finding that with ETT ID 9.0, 50% of VT was exhaled during the first 250 ms of expiration (15% of Te), whereas with ETT obstruction (ID 6.0) only one third of VT was exhaled in the same amount of time (Fig. 3).


Figure 323
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Figure 3. ETT ID, endotracheal tube inner diameter. Expiratory time divided into 6 segments of 250 ms each for ETT ID 9.0 (gray squares) and ETT ID 6.0 (black triangles). With ETT ID 9.0, 195 mL were exhaled after 250 ms, whereas with ETT ID 6.0 only 134 mL were exhaled after 250 ms. ETT ID 9.0, n = 8; ETT ID 6.0, n = 10. Values are mean ± sd.

 

The approach can be simplified even further: because V must be the same throughout the whole system (in the absence of major leakage), good agreement between the ventilator’s and the pneumotachograph’s V signal (Fig. 1) is to be expected. This suggests that the V signal obtained from the ventilator could be as reliable for monitoring ETT patency as the pneumotachograph V signal.

Limitations
The elastic recoil of the respiratory system, expressed as V/Crs, drives Ve. Increasing Crs decreases Ve, to which any decelerating effect of an ETT obstruction would be added. As a consequence, {tau}e (Rtot x Crs) increases, too. Decreasing Crs, by contrast, decreases {tau}e. An obstruction effect could thus either be intensified or masked by changes in Crs, which we studied in more detail using a physical lung model (see Appendix). Indeed, a Crs change (both with Crs being constant during VT and with Crs changing with volume in a nonlinear fashion) obtunded the obstruction effect on Ve (for details, see the Appendix)). Because secretions will produce a local asymmetrical obstruction rather than a symmetrical obstruction across the entire length of the tube, this difference was also studied. We found that a local obstruction, if it is pronounced enough, has the same impact on the pressure–flow relation as a symmetrical obstruction across the entire length of the ETT. This justifies the use of ETT with different IDs as an obstruction model.

In discussing the limitations of the approach presented, we would like to emphasize that we do not know of any simple breath-by-breath tool for monitoring ETT patency. Analysis of the Ve signal provides a hint at ETT obstruction, and not even this hint is available at present with the methods falsely assumed to detect ETT narrowing (increase in peak pressure with volume-controlled ventilation or decrease in VT with PCV) (1,4). Second, we would like to emphasize that detection of ETT narrowing is in no way a single snapshot inspection of {tau}e (and Ve,max) alone. Rather, it is one of many steps required to integrate the {tau}e analysis into the broader framework of continuous, breath-by-breath monitoring of dynamic respiratory mechanics. Narrowing will be detected by comparing a series of subsequent {tau}e values to a starting point, which makes differences detectable by analyzing the trend. Third, we certainly do not claim that ETT narrowing can be detected solely based on information about Ve. For a complete analysis, all other factors determining the course of Ve must be known. This includes, most importantly, Crs, but airway resistance and inertance will also have an impact that remains to be studied in detail. However, using the information on changes in elastic recoil (V/Crs) combined with the information on {tau}e, a simple scheme (Table 3) can be set up.


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Table 3. Potential Combinations of Changes in {tau}e and Elastic Recoil (Reflected by V/Crs)

 

Disregarding simultaneous changes in airway resistance and inertance, 9 combinations of Ve and elastic recoil changes are possible. With the first combination there is obviously no change. Combinations #2, #4, and #5 strongly suggest ETT narrowing, and combinations #3, #7 and #9 exclude ETT narrowing. In combinations #6 and #8, ETT narrowing is likely but additional information is required.

The simple scheme (Table 3) could serve as a starting point for a pattern recognition program for ETT narrowing. Such a program can be easily incorporated in a ventilator.

We conclude that with the elastic recoil of the respiratory system being appropriately considered, analysis of the expiratory flow signal and Vex fract,15 detects partial ETT obstruction during PCV, whereas VT monitoring does not.


    APPENDIX
 Top
 Abstract
 Introduction
 METHODS
 RESULTS
 DISCUSSION
 APPENDIX
 REFERENCES
 
Below, we discuss conditions other than symmetrical ETT obstruction that have an impact on {tau}e: a) Crs change with intratidal Crs assumed to be constant; b) Crs change with intratidal Crs assumed to be volume-dependent in a nonlinear way; c) local asymmetric ETT obstruction; d) local asymmetric ETT obstruction plus nonlinear intratidal Crs change.

a) Crs Change With Intratidal Crs Assumed To Be Constant

A high Ve rate is equivalent to a small {tau}e. Because fewer steps are required to model the impact of Crs on Ve compared with the Crs{tau}e relationship, we here approximate the Crs effect by calculating maximal Ve (Ve,max) as follows.

Ve is decelerated by the resistance of the respiratory system (Rrs), the resistance of the ETT (RETT), and the resistance of the breathing circuit (Re). At onset of expiration, the elastic recoil pressure (VT/Crs) is at its maximal volume charge, thus making the elastic recoil pressure maximal and hence generating the maximal expiratory flow rate (Ve,max). This can be modeled with the linear RCRETT-model of the respiratory system, on which Ve,max is calculated according to the equation of motion (equation 1):



Formula 1

Assuming a VT of 250 mL, inserting the resistance values determined in this study for ETTs with ID 9.0 through 6.0 mm in equation 1, and plotting Ve,max over Crs (Fig. 4), we find that down to a level of around 40 mL · cm H2O–1 Crs has little impact on Ve,max, whereas with Crs decreasing still further, Ve,max sharply increases. This implies that at low levels of Crs, its exact determination becomes even more important, as any further decrease in Crs considerably affects Ve.


Figure 423
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Figure 4. Maximal expiratory flow rate (Ve,max) as a function of respiratory system compliance (Crs) for ETTs with (from top to bottom) ID 9.0 mm to 6.0 mm. A Crs of 35 mL · cm H2O–1 allows for a Ve,max of 1000 mL/s with ID 9.0 mm (point B), whereas an obstruction to ID 6.0 mm reduces Ve,max to 400 mL/s (point A). However, the same Ve,max of 1000 mL/s would continue flowing through the obstructed ETT if only Crs simultaneously decreased to one third of its initial value (12 mL · cm H2O–1) (B -> C), thus masking the ETT obstruction.

 

b) Crs Change With Intratidal Crs Assumed To Be Nonlinear

We modeled the effect of a nonlinear intratidal change in Crs using a physical lung model consisting of two connected chambers (Fig. 5a). Mechanical insufflation displaces water from chamber 1 to chamber 2 (16). Placing a wedge in chamber 2 (Fig. 5b) simulates a Crs decrease with increasing volume, the course of which was determined by measuring the pressure corresponding to stepwise displacements of 100-mL volume aliquots (up to 1000 mL) from chamber 1 to chamber 2 (Fig. 5c).


Figure 523
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Figure 5. Panel a, top left: Two-chamber lung model. Insufflating gas through the ETT into chamber 1 displaces water to chamber 2, increasing hydrostatic pressure there; compliance of the lung model = insufflated volume/hydrostatic pressure. b: Placing a wedge in chamber 2 models volume-dependent nonlinear compliance, the course of which over volume (at 100-mL volume steps) is shown in panel c. d: Local asymmetric ETT obstruction by a steel ball kept in position by a strong Neodym permanent magnet. Patent area (Apat) is the minimal effective cross-sectional area that renders the pressure–flow relationship of the asymmetrically obstructed ETT equivalent to that of a symmetrically obstructed ETT.

 

The lung model was ventilated in its linear and nonlinear configuration using ETTs with ID from 6.0 mm to 9.0 mm in both configurations, and {tau}e was determined between 10% and 35% expiratory time. Inserting the wedge produces a lower mean compliance, thus with nonlinear volume-dependent compliance {tau}e was smaller compared with linear compliance (Table 4) but significantly increased with decreasing ID, irrespective of the intratidal compliance course (Table 4). Assuming a nonlinear course of Crs being essentially unchanged while at the same time ETT becomes narrower, the obstruction could be inferred from increasing {tau}e.


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Table 4. Comprehensive Table for the Different Types of ETT Obstruction, Showing Resistive Pressure Decrease (Pres) and Expiratory Time Constants ({tau}e) for Symmetric and Asymmetric ETT Obstruction with Linear and Nonlinear Intratidal Compliance

 

c) Local Asymmetric ETT Obstruction

To model local asymmetrical ETT narrowing, standard steel balls of different size were placed and kept in a mid-axial position in the ETT by a strong Neodym permanent magnet (Fig. 5d). As expected, effects were more pronounced with the obstruction acting symmetrically and along the entire length of the ETT (i.e., when changing the ID of the ETT) compared to an asymmetrical steel ball-induced obstruction that reduced the patent area (Apat) at a very small segment of the ETT only. We found that a 6.5 mm ball obstructing an ETT of ID 9.0 mm produced a pressure–flow (P–V) curve similar to that of an ETT of ID 8.0 mm (Apat 30.4 mm2), a 7.5 mm ball (Apat 19.4 mm2) simulated a 7.0 mm ETT, and an 8.0 mm ball (Apat 13.4 mm2) simulated a 6.0-mm ETT. The 6.5 mm diameter steel ball created a resistive pressure decrease (according to the Rohrer equation: Pres = V · k1 + V^2 · k2, equivalent to the airflow resistance at 1 L/s), which is similar to the symmetrical obstruction with ID 8.0 mm (Fig. 6). The 7.5-mm and 8.0-mm diameter steel balls created a higher resistive pressure decrease than their corresponding IDs of 7.0 and 6.0 mm, respectively, which is entirely attributable to the fact that the size of the commercially available steel balls increases in rather big steps, making it impossible to create exactly the same asymmetrical local ID reduction as produced by the symmetrical obstruction. However, these results show that a local obstruction, if pronounced enough, will have an impact on the P–V relation that is identical to a symmetrical obstruction across the entire length of the ETT, justifying the use of different ETT IDs as an obstruction model.


Figure 623
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Figure 6. ETT ID, endotracheal tube inner diameter. Pressure–flow (P–V) relation for an unobstructed ETT ID 9.0 mm (solid line), an unobstructed ETT ID 8.0 mm (dotted line, middle) and an ETT ID 9.0 mm with a local steel ball obstruction (diameter of steel ball, 6.5 mm). Note: With the appropriate size of the steel ball, a local asymmetrical obstruction of the ID 9.0 mm ETT yields a P–V relation that is very close to the symmetrical obstruction (produced by changing the ETT 9.0 mm ID to 8.0 mm ID).

 

d) Local Asymmetric ETT Obstruction Plus Nonlinear Intratidal Crs

The asymmetric obstruction was combined with a nonlinear volume-dependent Crs and the expiratory time constants were determined. Again, {tau}e was lower compared with linear Crs (Table 4) but significantly increased with decreasing ID, irrespective of the intratidal Crs (Table 4).


    Footnotes
 
Supported, in part, by grants from the Swedish Heart and Lung Foundation (grant number 20030601) and the Laerdal Foundation for Acute Medicine, Stavanger, Norway.

Accepted for publication April 25, 2006.


    REFERENCES
 Top
 Abstract
 Introduction
 METHODS
 RESULTS
 DISCUSSION
 APPENDIX
 REFERENCES
 

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Lippincott, Williams & Wilkins Anesthesia & Analgesia® is published for the International Anesthesia Research Society® by Lippincott Williams & Wilkins and Stanford University Libraries' HighWire Press®. Copyright 2006 by the International Anesthesia Research Society. Online ISSN: 1526-7598   Print ISSN: 0003-2999 HighWire Press