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Departments of 1 Mechanical Engineering and 2 Biomedical Engineering, Northwestern University, Evanston, Illinois 60208; 3 Marquette University and Medical College of Wisconsin, Milwaukee 53201; 4 Zablocki Veterans Affairs Medical Center, Milwaukee, Wisconsin 53295; 5 Department of Surgery, University of Michigan Medical Center, Ann Arbor, Michigan 48109; 6 Department of Physiology, Technion, Israel Institute of Technology, Haifa, Israel, and 7 Department of Biomedical Engineering, University of Michigan, Ann Arbor, Michigan 48109
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ABSTRACT |
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When a liquid is instilled in the pulmonary airways during medical therapy, the method of instillation affects the liquid distribution throughout the lung. To investigate the fluid transport dynamics, exogenous surfactant (Survanta) mixed with a radiopaque tracer is instilled into tracheae of vertical, excised rat lungs (ventilation 40 breaths/min, 4 ml tidal volume). Two methods are compared: For case A, the liquid drains by gravity into the upper airways followed by inspiration; for case B, the liquid initially forms a plug in the trachea, followed by inspiration. Experiments are continuously recorded using a microfocal X-ray source and an image-intensifier, charge-coupled device image train. Video images recorded at 30 images/s are digitized and analyzed. Transport dynamics during the first few breaths are quantified statistically and follow trends for liquid plug propagation theory. A plug of liquid driven by forced air can reach alveolar regions within the first few breaths. Homogeneity of distribution measured at end inspiration for several breaths demonstrates that case B is twice as homogeneous as case A. The formation of a liquid plug in the trachea, before inspiration, is important in creating a more uniform liquid distribution throughout the lungs.
surfactant replacement therapy; respiratory distress syndrome; liquid ventilation; drug delivery; exogenous lung surfactant; liquid bolus
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INTRODUCTION |
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LIQUID MAY BE INSTILLED into the pulmonary airways during medical treatments such as surfactant replacement therapy (SRT), partial liquid ventilation (PLV), and drug delivery. SRT is a common treatment for respiratory distress syndrome (RDS), particularly in premature infants. Typically, liquid is instilled into the trachea, and ventilation assists in propagating the liquid toward the alveoli, coating airways along the way. Studies show that SRT can decrease infant mortality by up to 50% of infant RDS patients (15). Surfactant can be instilled as a preventative measure soon after birth or as a rescue measure within the first 24 h (11) and may treat meconium aspiration syndrome (27). In adults, SRT is a therapy for RDS and for lung damage due to smoke inhalation (20) and sepsis (19, 26). During PLV, a perfluorochemical liquid is instilled into the airways, which has been shown to improve respiratory function in RDS cases (1, 12, 13). Some forms of drug delivery involve piggybacking drugs or genetic material with instilled surfactant (9, 10, 16, 22) or perfluorochemical liquid (14).
Several studies have used an animal lung model to evaluate the distribution of liquid instilled into the pulmonary airways. In some experiments modeling SRT, the instilled surfactant-lipid may be radiolabeled and mixed with a suspension of dye-labeled microspheres (17, 25). After the surfactant treatment, the lung is flash frozen and then cut into many (50) horizontal slices and analyzed for surfactant content. Several animal studies have been conducted to measure the effects of varying surfactant type (5), size and number of doses (25), lung lobes targeted (17, 25), instillation techniques (17, 23, 25), and ventilation methods (18, 21). Although measurement using this type of imaging quantifies the final liquid distribution in the lung regions, it does not provide information about the local fluid transport in the airways, which affects the final distribution through the lungs. Does instilled liquid distribute via gravitational drainage, propagate as a liquid plug, or become aerosolized? The fluid dynamic process is key in determining how and when the material reaches its destination. Knowledge of the transport dynamics will enable the treatment method to be chosen to suit the needs of the patient.
When a liquid or surfactant is instilled into the pulmonary airways, a sequence of transport phenomena occurs that determines its path and ultimately its distribution. For the clinician, the strategy of liquid instillation may be governed by the mode of therapy or the type of lung injury. Optimal delivery may require homogeneous distribution through the airways, or it may be advantageous to target specific lung lobes, airways, or alveoli. Some physical parameters that may affect the resulting distribution include gravity, liquid viscosity, liquid density, surface tension, surface activity, airflow speed, airway geometry, lung compliance, liquid bolus size, respiratory rate, tidal volume, and previous treatments.
Recently, theoretical studies have investigated the transport of
instilled liquid through the airways as a model of SRT (3, 7). Halpern et al. (7) predict that surfactant
delivery can be divided into four distinct transport regimes. The first regime is the propagation and distribution of an instilled liquid plug,
driven mainly by gravity and forced air due to mechanical ventilation.
As the plug propagates, it leaves a liquid coating on the walls of the
airway. The second regime is gravitational drainage of the liquid film,
which is significant mainly in the larger airways. A third regime is
surfactant flow in the small airways, and a fourth regime is surfactant
uptake in the alveoli. For the first regime, the ratio of deposited
film thickness to airway radius, h/a, is
predicted as a function of the capillary number, Ca = µU/
, where µ and
are the exogenous surfactant viscosity and surface tension, respectively, and U is the
trailing meniscus velocity of the instilled liquid plug. Given the plug volume and Ca in the trachea, they predict the plug volume at each
airway generation n through rupture. Espinosa and Kamm
(3) also predict a similar first regime; their results
predict the local Ca and h/a for a range of
surfactant viscosities and accumulated film volume as a function of
airway generation n. These models (3, 7) assume
a symmetric, dichotomous system and therefore do not include the local
fluid dynamics through a bifurcation that may be sensitive to
asymmetric geometry, downstream conditions, or asymmetric tilt with
respect to gravity.
There remains a need to connect the theoretical predictions of liquid transport and distribution in the lungs to experiments in actual airways. To facilitate investigation of the dynamics of liquid plug flow in the airways, it is essential to employ an improved imaging technique over those previously utilized. The current experimental studies involve imaging methods that allow for real-time detection of liquid transport dynamics in the pulmonary airways. The goal of this study is to determine how the distribution of instilled liquid is affected by the delivery method. In particular, the objective is to identify differences in flow dynamics and the resultant fluid distribution when a plug either does or does not exist in the upper airways.
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METHODS |
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Experimental Methods
Two experimental methods are investigated for liquid transport and distribution in rat lungs. For each, a surfactant mixture is instilled by constant infusion into the trachea during continuous ventilation. Case A involves liquid that is inserted into the trachea and rapidly falls into the airways. The instilled liquid drains briefly from gravity and then is driven through the lungs by an inspired breath. Case B involves instilling liquid that forms a plug in the trachea tube before the inspired air propagates the liquid through the airways. Natural exogenous surfactant is mixed with a radiopaque material and instilled into the tracheae of excised rat lungs during continuous ventilation. The imaging technique involves recording X-ray images of the experiment in real time, enabling the viewer to observe and evaluate large-scale liquid dynamics in the airways. The images are then transferred to digital image format for data analysis.Surfactant material. The surfactant used in this study is a natural surfactant preparation made from bovine lung surfactant, Survanta (Ross Laboratories, Columbus, OH). The liquid surfactant is mixed with a radiopaque tracer, meglumine diatrizoate (Sigma Chemical, St. Louis, MO). The tracer is available as a powder and is mixed with the surfactant in the quantity 0.6 g/ml. Hereafter the surfactant + meglumine diatrizoate mixture is referred to as SMD. We measure the viscosity of the surfactant as 45 cStokes, and the viscosity of SMD is 10 cStokes. Both are measured by use of an Oswald bulb viscometer at room temperature. Using a platinum-iridium ring tensiometer, we measure the surface tension of the surfactant at room temperature to be 48 dyn/cm, and SMD is 54 dyn/cm. The density of SMD is measured to be 1.22 g/cm3. The SMD is removed from refrigeration ~30 min before usage, as the experiments are conducted at room temperature.
Matching dimensionless parameters between experimental and
clinical values.
In order for experiments on liquid plug transport in animal lungs to
model accurately the treatments in infant and adult lungs, the
experimental systems are designed such that the relevant dimensionless parameters will match typical clinical values. First examine the dimensional parameters for SRT and PLV in infants and adults. Halpern
et al. (7) estimate typical clinical values for the velocity of an inspired surfactant bolus in the trachea of an infant
and adult; values are listed in Table 1.
During PLV in infants, the ventilatory frequency can be up to 50 breaths/min (4). The perfluorocarbon Peflubron (Alliance
Pharmaceutical, San Diego, CA) has a density of 1.93 g/cm3,
viscosity of 1.10 cStokes, and surface tension of 18 dyn/cm (8). Assuming an inspiratory-to-expiratory ratio near 1:1
at this higher frequency, we estimate the typical clinical values for
PLV in infants, also shown in Table 1.
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, quantifies the ratio of viscous forces to surface
tension forces. Again, µ and
are the exogenous surfactant
viscosity and surface tension, respectively, and U is the velocity of
the trailing meniscus of the air-blown liquid plug. The Bond number,
Bo =
ga2/
, quantifies the ratio of
gravitational forces to surface tension forces; g is
acceleration due to gravity. Here,
is the exogenous surfactant density and a is the tracheal radius. The
Reynolds number, Re = Ua/
where
is the kinematic
viscosity, quantifies inertial forces to viscous forces. A
dimensionless tidal volume can be calculated as
VT/a3, where VT is the
dimensional tidal volume and a is the tracheal radius. The
Strouhal number is Str =
a/U, where
is the frequency of ventilation.
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Animal preparation. All of the animals used in this study are handled in accordance with the Animal Welfare Act. Ten healthy adult male Wistar rats, with an average mass ~500 g (494 ± 39) and lungs ~3 cm in length, are used. The animals are anesthetized with 40 mg/kg of Demutol, then the heart and lungs are removed via a thoracotomy, and the heart is completely dissected out to eliminate any cardiogenic motion during imaging. A flared polyethylene tube (PE 240) with 0.2-cm OD is inserted into the proximal end of the trachea and tightly secured. The lungs are suspended vertically from this tracheal cannula. Ventilation is established at 40 breaths/min before liquid instillation is begun. The experiments are performed on the freshly isolated rat lungs immediately after the thoracotomy so that the endogenous surfactant layer is essentially intact.
Experimental setup and procedure.
The imaging system used in this experimental setup consists of a
microfocal X-ray source capable of producing focal spots as small as
three microns, coupled with a precision
X-Y-Z-theta stage and an
image-intensified digital detector (see Fig.
1). Projected images of radiopaque liquid
motion in excised lungs are captured at video rates of 30 frames/s.
This system has been used to image the pulmonary circulation down to
the arteriolar and venular level (30-µm diameter) and track the time
course of a vascular bolus (K. Cassidy and J. B. Grotberg, unpublished
results). The X-ray images are acquired by a high-resolution camera
(Sony AI-01-CCD) and recorded to SVHS video format and later digitized on a Mac computer using Fusion Recorder and Adobe Premier software.
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Analytical Methods
Two analytical studies are used to quantify the liquid transport and distribution through the airways. The first study explores the liquid dose transport dynamics during the first few inspired breaths after the onset of liquid instillation. The experimental results are quantified through statistical measures and then compared with a simple theoretical model of liquid plug propagation. The second study assesses an index of homogeneity to quantify liquid distribution throughout the lungs at end inspiration for the first 10 breaths. The homogeneity index results are compared for case A and case B.The transport of the SMD is visible in the two-dimensional image as the liquid spreads through the lung. The digitized images are raw 640- by 480-pixel bitmap files in which a numerical intensity value I(x,y) is assigned to each of the pixels, ranging from 0 (black) to 255 (white) with a gray scale level between. Areas of the lung containing the radiopaque SMD exhibit a greater intensity than lung regions without it. A separate image of the lung is captured before any liquid has been instilled, where I0(x,y) represents the intensity at each pixel. For both of the studies, the image of a lung with liquid is compared with the image of the lung without liquid to track the liquid location.
Liquid dose dynamics. The liquid transport during a single dynamic breath is quantified by statistical methods. As liquid travels from the trachea toward smaller airways, quantities for the liquid location change with time, including the leading edge, the center of liquid mass, and the standard deviation, skewness, and kurtosis of spatial distribution. Each image of the lung containing liquid (sampled at 6/s) is loaded into Matlab (MathWorks) and converted to a double-precision matrix, as is a similar matrix corresponding to the lung before liquid instillation. Let IL(x,y) be the intensity at each pixel (matrix element) of the image of the lung containing liquid, and IT(x,y) is the intensity at each pixel for the image of lung tissue without liquid.
Beer's law (24) quantifies the illumination of radiopaque material in an X-ray
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(1) |
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(2) |
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(3) |
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(4) |
. The distribution of the liquid mass can be
characterized by its probability density function,
P(x0,y0),
where x0 and y0 are dummy
variables in the x and y directions, respectively
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(5) |
)
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(6) |
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(7) |
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(8) |
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(9) |
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Homogeneity index of distribution. The time-varying distribution of liquid is evaluated for the first 10 breaths after the onset of liquid instillation for case A and case B. Data are measured at end inspiration (after breath 1, after breath 2, etc.) when the lung volume is a maximum and the liquid motion is quasi-static. For each successive breath, the liquid mass in the lung increases and the distribution of the liquid changes. The lungs are divided into four main quadrants, and liquid deposition between these quadrants is compared to assess the homogeneity of distribution.
The preinstillation image is digitally subtracted, pixel by pixel, from each of the subsequent images in Sigmascan (Jandel Scientific) so that only the radiopaque shadow remains visible, removing background lung structures. This method also compensates for differences in beam intensity and attenuation and lung position between experiments. This processed image then is a map of the distribution path of the instilled liquid. A digital window is placed over the outer regions of the image, covering the border of the image, the time/date stamp from the video recorder, and any regions with no lung, so that these pixels are ignored. A thresholding method is used, in which pixels having a numeric intensity above a threshold value are marked, so that portions of a lung region containing the liquid can be identified and measured. Figure 3A shows a sample digital image in raw pixel form, lightened here for clarity to the reader. Figure 3B is the same image processed via image subtraction and thresholding. Dark lines define the four lung quadrants, and the window covers nonlung regions that are ignored during analysis.
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RESULTS |
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Liquid Dose Dynamics
Images of liquid transport during inspiration are shown in Fig. 4. This sample corresponds to case A but demonstrates both gravitational drainage and liquid plug propagation. The images are cropped and lightened for clarity to the viewer. During the first breath, instilled liquid begins to drain into the trachea, and we designate t = 0 as the point at which liquid passes the (x,y) origin, which occurs about midway through inspiration. Figure 4A is taken at 0.43 s after the liquid instillation began, at the end of inspiration (EI) for the first breath (abbreviated as EI-1). The liquid (dark) begins to drain from the trachea into the first bifurcation. Gravitational drainage continues through expiration. Figure 4B is taken at 1.33 s, at the end of expiration (EE) for the first breath (EE-1). A liquid plug is visible in the large airway branching in the positive x direction, and liquid travels rapidly toward the periphery of the lung. Figure 4C is taken at 1.5 s, during the next inspiration. The liquid plug moves distally and branches into the entrance of several more generations of airways. Figure 4D corresponds to 1.7 s, at EI-2, when liquid reaches smaller airways and alveoli, mainly in the UR and LL lung regions.
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A statistical evaluation is performed on the first few breaths after
the onset of liquid instillation for the animal shown in Fig. 4. The
statistical results for liquid distribution include center of mass,
standard deviation, skewness, and kurtosis. The leading edge of liquid
is also traced as a function of time in the x direction and
in the positive and negative y directions. The leading edges
are shown in Fig. 5A
scaled on the lung length. For the first 1.3 s, the vertical leading edge moves under gravitational drainage. The
horizontal leading edges demonstrate little branching, which can be
expected because the liquid appears to drain down the right side of the
trachea (see Fig. 4, A and B). The average vertical plug velocity Uvert = 0.28 cm/s
for 0.4 < t < 1.2 s. During the second
inspiration, 1.3 < t < 1.7 s, the leading
edges move more quickly in both the vertical and horizontal directions, as rapid liquid transport disperses liquid to multiple branches of
smaller airways (see Fig. 4, C and D). Here, the
average vertical plug velocity is Uvert = 4.0 cm/s corresponding to Ca = 9 × 10
3. At the
end of inspiration, t
1.7 s, the leading
edges have reached a local maximum. The time course of the leading edge
positions increase at a slower rate for the remainder of the
experiment.
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Figure 5B shows the time-dependence of
,

x, and
y for these first three breaths. For this
sample, there is slightly more lung tissue in the right lung (negative y) than the left. Although the width of the lung is
typically smaller than the lung length, the mean and standard deviation in both directions are scaled on the lung length. Here the span of y is ~90% of the lung length, so mean value and
standard deviation are expected to be smaller in the y
direction than the x direction.
During the first breath, the vertical center of mass increases from
= 10% to 22% during inspiration and then decreases to 16% during expiration. During the second breath,
rapidly increases to 42% during inspiration and then decreases to 25% during expiration. The cycle continues for the third breath, in which
returns to 42% during inspiration and then
decreases to 34% during expiration. The cyclic pattern is due to the
dynamics of inspiration and expiration, although lung shape and liquid reflux may also be a factor. The statistical values are scaled on a
single value of the maximum lung length, but the actual lung increases
in size on inspiration and decreases during expiration that may amplify
the cyclic behavior. The horizontal center of mass stays near the
negative side of 
The skewness and kurtosis in the x and y
directions are shown in Fig. 5C. The
skewx is positive at t = 0 (asymmetric tail pointing away from origin) as the liquid is mainly in
the trachea. The skewy is also positive at
t = 0, demonstrating the offset of the trachea from y =
0. During gravitational drainage (t < 1.3 s),
skewx and skewy decrease
slightly. Rapid liquid transport (1.3 < t < 1.7 s)
causes the skewness in both directions to drop rapidly toward zero,
where they remain. The kurtx is strongly
positive, and the kurty is also positive,
at t = 0, representing a peaked distribution that accurately
represents the liquid mass localized in the first few generations. For
the remainder of the first breath, the x and y
kurtosis decrease in magnitude but remain positive in value, and
increases somewhat during the end of expiration. During the first part
of the rapid liquid transport, kurtx and
kurty decrease rapidly toward zero for 1.3 < t < 1.5 s. Because a negative kurtosis represent a
more flat distribution than normal, negative values for kurtosis are
desirable for a homogeneous distribution in the lung. For t
1.4 s, kurtx remains negative.
There is little kurtosis in the y direction except at the
end of expiration (t
2.8 s) where it becomes
positive and then drops again to zero.
To evaluate the relevance of the statistical measures, consider a
simple theoretical one-dimensional model for liquid plug flow through a
straight tube. Let a plug with initial length L0 propagate at constant velocity U through a tube with radius
a (see Fig. 6A). At
time t, the trailing meniscus of a liquid plug is located at
position xT (where T is time), the plug length
is L, and the leading meniscus is located at position
xT + L (see Fig. 6B).
The trailing film has thickness h and
h/a is a function of Ca, or h/a
= f (Ca). As the plug propagates, the length decreases as film is transferred onto the tube wall until finally the plug will
rupture at TF = L0/2fU. For liquid plug propagation,
Halpern et al. (7) estimate
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(10) |
(x), or volume per unit length, is
approximately
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(11) |
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(12) |
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T
1. The first, second, third,
and fourth moments can be used to calculate the center of mass,
standard deviation, skewness, and kurtosis of the progressing plug. The
leading edge,
, of the liquid progression is the same as the leading
meniscus position and can be scaled on L0 and
T, yielding an equation for the dimensionless leading edge
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(13) |
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Consider the portion of the second inspired breath in Fig. 5
consisting mainly of liquid plug propagation, i.e., 1.3 < t
< 1.7 s. Figure 7A
displays the experimental vertical leading edge, center of mass, and
standard deviation for this time period, scaled on the maximum value of
the leading edge. The corresponding skewness and kurtosis in the
vertical direction are shown in Fig. 7B, each scaled on
their own maximum value. Both Fig. 7A and Fig. 7B
are plotted against the time T, which is the time in seconds
scaled on the final time. In comparison, the dimensionless theoretical leading edge, center of mass, and standard deviation in one dimension are shown in Fig. 7C, and the corresponding skewness and
kurtosis are shown in Fig. 7D, calculated for Ca = 9 × 10
3. The trends in statistical behavior can be
compared for the experimental results and the theoretical predictions.
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The experimentally determined positions of the leading edge, mean
value, and standard deviation support the theoretical predictions. The
leading edge has a greater magnitude than the mean value, as well as a
steeper slope. The standard deviation is the smallest of the three,
both in magnitude and in slope. The experimental skewness and kurtosis
follow the theoretical trends for T > 0.1, where the
slopes are negative. Note in Fig. 5C that the data just before this exploded section have a positive slope as predicted for the
skewness and kurtosis. In experiments, the skewness approaches zero as
T
1, and the kurtosis becomes negative for
T > 0.3. The negative kurtosis demonstrates that the
liquid is distributed to more distal regions than a normal
distribution. For this application, this indicates that liquid is
dispersed from a single plug of liquid to many smaller airways
throughout the lung.
Homogeneity Index of Distribution
Images of the lungs captured at end-inspiration are shown in Fig. 8. Case A is shown in Fig. 8A for EI-1. Figure 8B corresponds to EI-3, Fig. 8C shows EI-6, and Fig. 8D shows EI-10. For this sample, the liquid begins to drain down the trachea and into the main bronchi. At EI-1, liquid pools in a main bronchus on the left side. At EI-3, the pooled liquid is blown into some of the smaller airways, mainly delivering liquid to the LL region. At EI-6, liquid continues to distribute well into the LL lung, and some liquid has reached into some of the UL and UR lung as well. Draining liquid in the central right region is visible in a main bronchus, and liquid begins to drain into the LR quadrant. Case B is shown in Fig. 8E at EI-1, in Fig. 8F at EI-3, in Fig. 8G at EI-6, and in Fig. 8H at EI-10. At EI-1, some liquid has reached into the main bronchi on both the left and right sides. At EI-3, the first few generations have liquid on the airway walls, and a light distribution of liquid has branched into a few of the smaller airways. At EI-6, the liquid has reached many of the smaller airways of the LL, LR, and UR regions. At EI-10, liquid has distributed to smaller airways in all four lung quadrants.
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Using the thresholding method, the amount (area) of each lung region
coated with liquid is measured at end inspiration for each breath and
compared with the area of the region. A sample graph is presented for
each case, corresponding to the same lung samples shown in Fig. 8. The
area reached by the advancing liquid within each lung quadrant is
displayed as a function of the breath number in Fig.
9. The lung regions represented are the
LL (
), LR (
), UR (
), and the UL (
) quadrants. Case
A results are shown in Fig. 9A. At EI-1 most of the
liquid is in the UL lung. After EI-10 the least amount of liquid is in
the LR region, with only 10% of the area reached, and the greatest
amount is in the LL region (63%). Therefore, this case A
sample has a homogeneity index of 15% at EI-10. Note that these
quantitative results accurately reflect the visual results shown in
Fig. 8, A-D. This sample is chosen with the
worst distribution results to emphasize the inhomogeneity of case
A. Case B results are shown in Fig. 9B.
Throughout the 10 breaths, the liquid distributes fairly evenly to each
quadrant, which is visible in Fig. 8, E-H.
After EI-10, the least amount of liquid (lowest AR) is in the LR region
(43%), and the greatest amount is in the UR region (49%). This
case B sample, with HI = 88% at EI-10, is chosen to
emphasize the improvement in homogeneity of case B.
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The homogeneity index values from each experiment in case A
and also case B are combined and averaged. Figure
10 displays the average homogeneity
index as a percent. The open circles represent case A and
the filled circles represent case B. The vertical error bars
represent experimental scatter. For every aliquot, HI is higher for
case B than for case A and is, on average, 2.4 times higher. After EI-10, HI for case B is 65% whereas HI
for case A is only 35%. Overall this indicates a
significant improvement in homogeneity of the liquid distribution for
case B over case A.
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DISCUSSION |
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On first viewing the experiments, we notice that the motion of a liquid plug, propagated by inspiration, is very rapid and liquid can reach the periphery of the lung within a few video frames. The plug of liquid appears to explode in a spray toward distal airways. The transport occurs so quickly that the imaging sampling rate of 30 frames/s is not sufficient to resolve the issue of whether the plug in fact becomes an aerosol. However, the current study of liquid dose dynamics reveals that the propagation behavior follows trends of liquid plug flow statistics. Therefore, it is believed that the plug does not aerosolize but behaves as a rapidly progressing, air-blown liquid plug.
Figure 4, B and D, demonstrates liquid traveling
from the first few generations to very small airways within the first
few breaths. If we assume that all of the airways are parallel to the
two-dimensional image, the distance tracked from the leading edge of
the liquid in Fig. 4B to the small airways of Fig.
4D is ~1.5 cm. Airways with tilt would have a longer path
than projected onto the two-dimensional image, but the velocity is
estimated as upward of 4 cm/s. Closure also occurs rapidly, on the
order of 1-2 video frames (

The motion of the gravitational drainage occurs on a much slower time scale. In Fig. 8, C and D, it is visible in a large airway in the central right lung. Between these two images, or over seven breaths (12 s), the draining liquid moves ~0.8 cm (assuming the airway is parallel to the two-dimensional image). The velocity is therefore measured as ~0.07 cm/s, or slower by a factor of 50 than the fast air-blown liquid plug velocity shown in Fig. 4. The opportunity of an airway to receive liquid is also governed by gravitational configuration. Therefore airflow more effectively distributes liquid through the airways when the air is propagating a liquid plug rather than flowing over a draining stream of liquid. When draining pools into liquid plugs, in an area which blocks the cross section of a branch, transport of liquid via air-blown liquid plugs occurs. A relatively uniform distribution is observed distal to pooled regions.
When liquid travels from a parent to daughter branch, it may divide unevenly between the daughters for reasons including size, branch angle, and gravitational direction. For liquid that distributes primarily by gravitational drainage, the liquid travels into bifurcations that are "lower" than the parent branch, or in the direction of gravity, at each generation. However, for liquid that is driven by a propagating liquid plug, the liquid can be seen visibly to move upward, or opposing the direction of gravity, both during experiments and via the experimental results. Therefore plug formation is key in distributing liquid to many airways in the upper lung regions, which is visible in both cases.
One of the relevant issues regarding surfactant dosing is the possibility that repeated surfactant doses tend to deliver liquid through the same path as previous doses. On the basis of our previous work (K. Cassidy and J. B. Grotberg, unpublished results) with a liquid plug passing through a symmetric bifurcation that has a liquid plug blocking one of the daughters, the test plug shows preference to delivering liquid into the unblocked daughter, because there is less resistance to flow than in the blocked daughter. The results in the current study show that, for case A experiments, repeat aliquots (via ventilated breaths) often prefer to deliver to the same pathway (see Fig. 8, A-D). The gravitational configuration strongly affects the liquid distribution for these types of experiments.
In conclusion, to achieve homogeneous distribution of liquid distribution throughout the entire lung, the method of plug formation (case B) shows superior results to gravitational insertion (case A). Average results indicate that the homogeneity of case B is nearly twice the homogeneity of case A. Statistical results for rapid liquid transport in the lungs follow similar trends to theoretical predictions for liquid plug propagation in a tube. A plug of liquid driven by forced air can reach alveolar regions within the first few breaths. The key to even distribution of liquid in any lobe or region of the lung is plug formation in the airway that supplies liquid to that lobe or region. A liquid plug propagated by forced air tends to coat distal airways rather evenly provided that enough liquid is present. Even in a lung that receives instilled liquid by means of gravitational drainage, liquid can pool in an airway and form a plug or may reflux into an airway that previously did not contain liquid. That plug is then subject to the same means to distribute evenly to distal airways. If the objective of therapy is to target liquid delivery to a certain pulmonary lobe, it appears that this may be achieved by inserting liquid plugs in the airway branch proximal to the target lobe.
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ACKNOWLEDGEMENTS |
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Special thanks to the Department of Veterans Affairs and the W. M. Keck Foundation and to Ross Laboratories for donation of the surfactant.
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FOOTNOTES |
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This research is funded by grant NAG3-2196 from the National Aeronautics and Space Administration, grant HL-41126 from the National Heart, Lung, and Blood Institute, and grant CTS-9412523 from the National Science Foundation.
Address for reprint requests and other correspondence: J. B. Grotberg, Univ. of Michigan, Dept. of Biomedical Engineering, 3304 G. G. Brown Bldg., 2350 Hayward St., Ann Arbor, MI 48109-2125 (E-mail: grotberg{at}umich.edu).
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.
Received 24 February 2000; accepted in final form 12 December 2000.
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