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40 oracic ultrasound
Fluid
Consolidated
parenchyma
Only when the pleural fluid interposed exceeds the size of the axial discrimination of the exploring frequency, parietal and visceral pleural interfaces are separated. is visual gap is produced by impedance gradients between the wall and the pleural fluid and between the fluid and the aer­ated (or non aerated) lung parenchima (Fig. 11).
Lung cortex
Figure 11 – Small effusion that separates the visceral from the parietal pleura (arrows). The subpleural lung parenchyma is consolidated. 10 MHz linear probe.
In the next pages we will use the term “cortex” to indicate the subpleural lung that, in the absence of a full consolida­tion with complete deaeration, produces
artifactual images. “Lung cortex” is the most peripheral, superficial volume of the organ, with functional capability for gas exchange. Anatomically the cortex represents a thickness of about 2 cm. It is anatomically identified in the distal airways beyond the terminal bronchioles, i.e. beyond the 15 bronchial generation (the so-called transitional bronchioles)1 (Fig. 12).
Trachea
Bronchial tubes
Bronchioles
Terminal
bronchioles
Transitional
bronchioles
Respiratory bronchioles
Conducting
airways
Acinar
airways
Alveolar
ducts
Alveolar
sacs
Figure 12 – Subdivisions of the human respiratory tree, with their respective levels. Distally, airways decrease their diameter, but increase in number, until, peripherally, the gas exchanging surface increases enormously.
Anatomy of chest ultrasound 41
In normal lungs, cortical air spaces are prevailing and interstitium is thin. It can be classified as interlobular interstitium, with a maximum thickness of 100 microns, intralobular interstitium and interalveolar septa (with thickness of a few microns). Associated with the alveolar interstitium is the vascular bed, fed by the centrilobular arteries, whose essential constituent is the capillary network of the alveolar walls2. e venous and lymphatic vessels are located in the perilobular interstitium. Anatomically and functionally the cortical respiratory airways (acinar airways) feed alveolar spaces and are named respiratory bronchioles, alveolar ducts and alveolar sacs3.
To understand the role of ultrasound in pulmonary diseases, it is appropriate to consider the superficial anatomy of the lung in terms of spatial and physical properties. e spatial proper­ties are the dimensional and connective characteristics of subpleural airspaces and interstice. ese parameters can simply be represented as linear or planimetric dimensions, and through the ratio between “full” and “empty” tissue. e physical properties refer to the “roughness” of the superficial pleural plane able to generate acoustic backscatter but not specular reflection.
Superficial lung parenchyma can be represented as a dynamic foam that periodically inflates and deflates. At this level, about 30,000 terminal bronchioles nourish the pulmonary acini, functionally identifying the greater unity of the airways (terminal respiratory unit) (Fig. 13).
Acinus
Terminal
bronchioles
Acinus
Respiratory bronchioles
Figure 13 – The periphery of the respiratory tree consists of the pulmonary acini (terminal respiratory unit). 3-24 acini constitute the secondary pulmonary lobule.
From another point of view, the association of 24 acini anatomically identify the morphologi­cal superficial unit of the lungs, which is the secondary pulmonary lobule, clearly demarcated by interlobular septa, and with linear dimensions of about 1-2.5 cm4 on the pleura (Fig. 14).
A pleural/subpleural scan plane interacts with pulmonary acini, grouped (discretized) in secondary lobules, separated by the thickest peripheral interstitium of the organ (interlobular septa, about 100 microns).
To identify a prevalent geometry of the normal cortex, it must be considered that airways have a luminal diameter decreasing as the generations increase toward the periphery5, but the overall surface of section greatly increases.
42 oracic ultrasound
From the morphometric point of view the terminal bronchioles show an internal diameter ranging between 1 mm and 300 microns while acini have an average volume of 0.187 ml. Respiratory bronchioles, alveolar sacs and ducts shows diameters between 500 and 270 microns. Finally alveoli are on average 250 microns and they form a honeycomb structure almost space filling, with extremely low density (<0.1 g/ml)
6,7
, but with a gas exchanging
surface of about 104 cm2.
Interlobular septum
Centrilobular bronchial tube
Centrilobular artery
Acinus
Pulmonary vein
Interlobular septum
Figure 14 – Schematic representation of the pulmonary lobule. Pulmonary lobules are separated by interlobular septa which contain the pulmonary veins. The afferent arteries and bronchi are centrally located.
In contrast with the common sense, the alveolar periphery of the pulmonary acini, rather than as a geometry similar to “grapes”, is represented with more accuracy as a dry foam, in which the alveolar faces (extremely thin) are flattened (hexagonal or pentagonal), while the individual alveoli have a polyhedral shape8.
During a physiological respiratory cycle, this three-dimensional “tessellation” possesses walls with dimensions, varying according to physiological lung volumes, between few microns and 20-30 microns. is geometry is incorporated in a three-dimensional “tessellation” of a higher level, represented by secondary pulmonary lobules whose “walls” (interlobular septa) reach 100 microns9. For physical reasons (see below), a foamy tissue with these dimensions, can not be rep­resented by the frequencies of normal use in ultrasound (up to 20 MHz). e healthy lung cortex, therefore, has no anatomical evidence to the ultrasound and behaves as a near specular reflector.
Geometry/topology of the lung cortex and lung acoustics
Most of the technical considerations expressed in the previous paragraph and in this one are derived from a series of physical studies that have not had proper attention. Nevertheless it is useful to discuss about this, in order to understand the physical basis underlying the production and interpretation of ultrasound images of the normal and pathologic lung.
e lung cortex can be thought as a three-dimensional space (volume), but CT and ultrasound, for their cross sectional characteristics, explore this space in two-dimensions terms.
Anatomy of chest ultrasound 43
A two-dimensional modeling of the lung cortex can be achieved with various modes and has already been implemented. We cite for example the method of Voronoi10, applied to the lung by Burrowes11, the final result of which, relatively to the acinar spaces of the lung, is represented in Figure 15, since it is very intuitive and explanatory12.
Pulmonary lobule
Pulmonary acinus
Respiratory bronchioles/alveolar ducts
Interlobular septum
Figure 15 – Modelling of the lung cortex according to the method of Voronoi. The peripheral hexagonal cells represent the alveoli. The system of respiratory bronchioles/alveolar ducts creates an interconnection through all the distal spaces (acinar units), grouped in the secondary lobules and separated from each other by interlobular septa (the largest subpleural connective interstitial afferents).
Pulmonary lobule
Pulmonary acinus
If we model this planar representation into a three-dimensional volume, we get a kind of sponge with full and empty (of air) components. Progressively limiting the volume of the solid part of the sponge, it tends more and more to resemble a foam, whose boundary is just a dry foam (Fig. 16).
Respiratory
bronchiole
Alveolar duct
Figure 16 – Scanning microscopic image (190 X) of normal lung parenchyma (pulmonary acinus). The high porosity of the tissue determines a low specific weight (like a dry foam).
44 oracic ultrasound
A foam and a sponge (with closed spaces) are similar because constituted by an air compo­nent distributed in cells and a solid component. rough compressions or distensions, the aerial part can be variable (in inverse relation to the solid one). is variability explains the characteristics of the foams, in particular it separates a dry foam (less dense) from a wet foam (more dense). If a porous tissue is constricted or dilated, without obliterating the empty spaces, it still remain a sponge (or a foams), but with different density. In simple terms these are the concepts of geometry and topology to be applied to the normal, deflated or inflated, or pathological lung.
In lung sonography the interaction of the ultrasound beam faces these characteristics. Within certain limits related to the frequencies used, when the lung is comparable to a dry foam (Fig. 16) it behaves in a way, when it is more like a wet foam, in a different way (Fig. 17), finally, when the cavities are substantially obliterated it behaves differently.
In Figure 15, the thick vertical line represents an interlobular septum located between two adjacent secondary lobules. e thin vertical line exemplifies the border between two acini, and is therefore an intralobular septum. If the septa represented, are below a certain size threshold in relation to the frequencies used, they are irrelevant.
Such a subpleural two-dimensional space, explored by echography, is therefore character­ized by its own geometry and topology, which are measureable
13,14
and comparable with the
exploring frequencies. In the actual lung the behavior is obviously much more complex (Table 3), because the ge-
ometry of the air spaces can vary with breathing. During the physiological respiratory cycle, the sponge-like configuration (Table 4) remains relatively preserved, as simple continuous plastic strains, do not alter the topology of an object, in spite of its geometric variations.
However, in cases of marked deflation the lung behaves as an anisotropic sponge, and express sequential closing of peripheral air spaces (derecruitment). erefore an health but unphysi­ologically deflated lung behaves as a pathologic lung.
Table 3 – Normal pulmonary geometry
Tree with 23 dichotomous generations
The conducting portion includes generations 0-16
The respiratory portion is divided into 30,000 acini, including 3 x 108 alveoli
The diameter of the branches decreases progressively with the generations
The total area of the section increases progressively with the subdivision generations
The length / diameter ratio is > 3 in the totality of generations
Average size of the subpleural air spaces 250 microns
Thickness interalveolar septa 8-20 microns
Thickness interlobular septa 50-100 microns
Modified from: Mauroy B, Filoche M, Andrade JS, Sapoval B. Interplay between geometry and flow distribution in an airway tree.
Phys Rev Lett
2003; 90.
e passage of the lung cortex from normal to pathological, is characterized by different aspects depending on whether one considers the interstitial lung disease rather than alveolar syndomes, or destructive patterns (emphysema).
Anatomy of chest ultrasound 45
In interstitial pathologies, the cortical geometry always changes and this is expressed by variations of weight/volume relationships. e organ’s density complaints the dimensional changes of the septa (enlarged) and air spaces (collapsed).
In pure interstitial diseases, from a physical point of view, the lung resembles a strongly deflated organ where numerous derecruited peripheral air spaces are present. If the lung is a foam, in interstitial disease the foam is wet or, in other words, the lung is a more dense sponge (Figs. 17 and 18).
In consolidating pathologies emerging on the pleura, the ultrasound interact with permissive holes along a more or less specular plane. e effect is related to the size of consolidations in relationship with the insonanting wavelenght. If the consolidation is very large compared to the wavelenght, it is represented as a solid tissue. erefore a consolidation is a real picture.
In conclusion, lung ultrasound interprets changes of the physical properties of the pleural reflector in terms of variable compositions of full and empty spaces (Fig. 19).
Respiratory
bronchiole
Alveolar duct
Figure 17 – Structurally the peripheral lung is a spongy tissue (A: anatomical image of lung 190X), that in the modeling, can be assimilated to a variously contiguous set of air bubbles (a more or less hydrated foam) (B). The white arrows indicate the “interstitium” of a wet foam.
Figure 18 – A layer of air microbubbles in a fluid assuming a wet configuration (left) is physically and topologically similar to a lung with interstitial disease (diffuse alveolar damage, right), and as such it loses its ability of specular reflection producing vertical artifacts.
46 oracic ultrasound
Figure 19 – Schematic representation of the ultrasonic interactions on two-dimensionally modeled patterns as full (black) and empty (white). A: normal lung pattern and massive reflection. B: total consolidation and massive permeability. F and G: full/empty geometries capable of producing B Lines. The arrows indicate acoustic microholes. Pattern H is physically equivalent to A (Modified from Soldati G
et al. UMB
2011).
Table 4 – Pulmonary topology
The modeling of the lung cortex can be assimilated to a foam-like space (wet or dry).
The sectional (tomographic) feature of ultrasound on subpleural space allows a two­dimensional modeling.
However carried out, modeling can be studied in terms of full/empty.
The distribution on a (two-dimensional) plane of full and empties affects the production of ultrasound images.
Artifactual images (B Lines and white lung) are relevant to a topological homeomorphism with normal lung, i.e. the foam-like pattern, even if dimensionally (geometrically) varied, must be present.
“Tissue” images are produced by structural (not homeomorphic) changes and lost (obliteration) of empties.
The frequency used probably defines the “scale” of visibility of acoustic phenomena.
Anatomy of chest ultrasound 47
Recommended readings
Block B. Colour atlas of ultrasound anatomy. ieme, Stuttgart-New York, 2004. Crystal RG, West JB, Weibel ER, Barnes PJ. e lung: scientific foundations. Lippincott-Raven, Philadelphia,
1997. Hartwig WC. Fundamental anatomy. Lippincott Wlliam & Wilkins, Philadelphia, 2008. Hutzler S, Weaire D. Physics of foams. Oxford University Press, Oxford, 1999. Sapoval B, Filoche M, Weibel ER. In: Branching in nature (Fleury V, Gouyet JF, Leonetti M, eds.). ED
Science, Paris, 2001. Weibel ER. Morphometry of the human lung. Academic Press, New York, 1963. Weibel ER. e pathway for oxygen. Harvard Univ. Press, Cambridge, 1984.
Bibliography
1. Berend N, Rynell AC, Ward HE. Structure of a human pulmonary acinus. orax 1991; 46: 117-121.
2. Tawhai M, Burrowes KS, Hoffman EA. Computational models of structure function relationship in the pulmonary circulation and their validation. Exp Physiol 2006; 91: 285-293.
3. Haefeli Bleuer B, Weibel ER. Morphometry of the human pulmonary acinus. Anat Rec 1988; 220: 401-414.
4. Hansen JE, Ampaya EP. Human air space shape, sizes, areas and volumes. J Appl Physiol 1975; 38: 990-995.
5. Tawhai M, Burrowes KS. Developing integrative computational models of pulmonary structure. Anat Rec (Part B: New Anat) 2003; 275B: 207-218.
6. Kitaoka H, Tamura S, Takaki R. A three dimensional model of the human pulmonary acinus. J Appl Physiol 2000; 88: 2260-2268.
7. Weibel ER. How to make an alveolus. Eur Respir J 2008; 31: 483-485.
8. Grebenkow DS, Guillot G, Sapoval B. Restricted diffusion in a model acinar labyrinth by NMR: eoretical and numerical results. J Magnetic Res 2006; 184: 143-156.
9. Leeming A, Schroter R. A model morphology of the pulmonary acinus. Proc Inst Mech Eng 2008; 222: 429-437.
10. Voronoi G. Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Journal für die Reine und Angewandte Mathematik 1908; 133: 97-178.
11. Burrowes KS, Tawhai MH, Hunter PJ. Modeling RBC and neutrophil distribution through an anatomi­cally based pulmonary capillary network. Ann Biomed Eng 2004; 32, 585-595.
12. Denny E, Schroter RC. A mathematical model for the morphology of the pulmonary acinus. J Biomech Eng 1996; 118: 210-215.
13. Michielsen K, De Raedt H. Integral geometry morphological image analysis. Physics Reports 2001; 347: 461-538.
14. Quilliet C, Ataei Talebi S, Rabaud D et al. Topological and geometric disorders correlate robustly in two dimensional foams. Philos Mag Lett 2008; 88: 651-660.
3
Physics of chest ultrasound
Introduction
In this discussion, we will not explore the physics of ultrasound present in dedicated textbooks and already treated. Moreover, those who use chest ultrasound probably know at least the basics of general sonography and its physics. In this chapter we will highlight some concepts related to the ultrasound interaction with tissues containing variable air volume, important for the study of lungs.
Many planes interact with ultrasound during a chest scan. ese structures are impedant interfaces with variable dimensions acting as reflectors (more or less specular) or scatterers. eir effects can be simply summarized in reflections, reverberations (defined as multiple repetitive reflections within a critical volume), backscattering, wave interferences and acoustic shadowing/enhancement. eir importance lies in the fact that they are at the base of the artifactual component of the lung1.
When speaking about “artifacts”, it is important to understand some concepts. In ultrasound imaging terminology, an artifact is an error of perception or representation of an acoustic information, introduced by the equipment and induced by interaction phenomena between energy and tissue2. In practical terms, it is the interpretation of a signal from the ultrasound machine, not represented in terms of real anatomy. Consequently, the common sense would indicate lung artifactual images as electronic wrong acquisitions.
However, it is necessary to recognize that in physical sense and according to the information processing of the machine, lung artifacts (A Lines, B Lines and white lung) are real radio­frequency signals, which identify real interactions and/or interference between acoustic waves and tissue structures explored. erefore, the visual representation of lung artifacts is only a surrogate of a real message coming back from the geometry of a frothy substrate. For an optimal lung sonography this message must be decrypted.
With this background in mind, we recognize normal (or physiological) artifactual component in the subpleural plane, represented by the repetitive horizontal images, called transducer reverberations or A lines (Fig. 1). In certain pathologies the normal pattern changes, and an artifactual component, consisting of vertical images appears. ese B Lines are arranged with a variable density (number/cm) along the pleural plane until their coalescence. Otherwise, the subpleural field changes from horizontal reverberations (A Lines) to a diffuse echogenicity erasing A Lines (white lung)
When the ultrasound passes through different contiguous “tissues”, with a “stiffness” or a significant resistance to molecular motion (tissue density), characteristically bright interfaces (echoic)6 are observed.
An intercostal scan is a superposition of layers of tissue (subcutaneous tissue, muscle, pleural plane) separated by echogenic surfaces, represented by the interfaces of the fascial planes and
3-5
(Figs. 2, 3).
49