2008
DOI: 10.1051/proc:082306
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Multiscale modeling of the acoustic properties of lung parenchyma

Abstract: Lung parenchyma is a foam-like material consisting of millions of alveoli. Sound transmission through parenchyma plays an important role in the non-invasive diagnosis of many lung diseases. We model the parenchyma as a porous solid with air-filled pores and consider the Biot equations as a model for its acoustic properties. The Biot equations govern small-amplitude wave propagation in fluid-saturated porous solids, and include the effects of relative motion between the fluid and the solid frame. The Biot equat… Show more

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Cited by 14 publications
(20 citation statements)
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“…[24][25][26] More recently, there has been an interest in applying Biot's theory of poroelasticity to the lung parychyma. 27,28 Application of Biot theory leads to a more complex theoretical model that predicts more wave types as compared to the effective medium theory.…”
Section: B Literature Reviewmentioning
confidence: 99%
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“…[24][25][26] More recently, there has been an interest in applying Biot's theory of poroelasticity to the lung parychyma. 27,28 Application of Biot theory leads to a more complex theoretical model that predicts more wave types as compared to the effective medium theory.…”
Section: B Literature Reviewmentioning
confidence: 99%
“…A partial diagram of the lung airway tree based on this model down to n ¼ 11 can be found in Fredburg et al 23 For the purpose of developing a tractable set of equations for predicting small-amplitude mechanical wave motion in the parenchyma for wavelengths larger than the microscopic heterogeneous features of the lung, macroscopic homogenized representations of the lung's physical properties have been proposed. [24][25][26][27][28] Based on this homogenous or stochastic spatially averaged view, two different models for wave propagation have been put forth. One is sometimes referred to as the "effective medium" or "bubble swarm" theory.…”
Section: B Literature Reviewmentioning
confidence: 99%
“…Clearly, it is not possible to solve (1.5) on a realistic geometry for more than a small number of alveoli, and certainly not for the millions that are contained in the parenchyma. To derive effective equations, the two-scale method of homogenization is a widely used tool that has previously been heuristically applied to different models of the lung parenchyma by Owen and Lewis [28] as well as Siklosi et al [35] for example. The approach consists in modeling the parenchyma as an array of periodically repeating cells, representing individual alveoli, and obtain equations governing the behavior of spatially averaged relevant quantities such as deformation and pressure by separating the variations at the micro-scale and macro-scale.…”
Section: The Mathematical Homogenization Methodsmentioning
confidence: 99%
“…However, this results from a very particular choice of microstructure model, and there is no equivalent result in 3D. In [28], the homogenized coefficients were averaged directly under an assumption of macroscopic isotropy of the homogenized material, while in [35], the authors used experimental values of Young's modulus and Poisson's ratio for the elastic part of their homogenized parenchyma model. We propose here another approach which does not involve an arbitrary modification of the homogenized parameters prior to the numerical simulations.…”
Section: Orthotropic and Isotropic Behaviormentioning
confidence: 99%
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