Modeling the Mechanical Behavior of Lung Tissue at the Microlevel

Wiechert, Lena; Metzke, Robert; Wall, Wolfgang A.

doi:10.1061/(asce)0733-9399(2009)135:5(434)

Cited by 30 publications

(14 citation statements)

References 24 publications

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“…Similar 'structure-like' tensors were also discussed by Federico & Herzog (2008a) in describing anisotropy of permeability in porous media. In addition, the model (4.11) was also used to capture the mechanical properties of pulmonary alveoli, which consist of collagen of types I and III, elastin and proteoglycans (Wiechert et al 2009). In a recent paper by Haskett et al (in press) the model was also used to fit data on abdominal aortas in order to evaluate the change in stiffness and anisotropy with age.…”

Section: (I) the Influence Of The Dispersion Parameter Kmentioning

confidence: 99%

Constitutive modelling of arteries

2010

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This review article is concerned with the mathematical modelling of the mechanical properties of the soft biological tissues that constitute the walls of arteries. Many important aspects of the mechanical behaviour of arterial tissue can be treated on the basis of elasticity theory, and the focus of the article is therefore on the constitutive modelling of the anisotropic and highly nonlinear elastic properties of the artery wall. The discussion focuses primarily on developments over the last decade based on the theory of deformation invariants, in particular invariants that in part capture structural aspects of the tissue, specifically the orientation of collagen fibres, the dispersion in the orientation, and the associated anisotropy of the material properties. The main features of the relevant theory are summarized briefly and particular forms of the elastic strain-energy function are discussed and then applied to an artery considered as a thickwalled circular cylindrical tube in order to illustrate its extension-inflation behaviour. The wide range of applications of the constitutive modelling framework to artery walls in both health and disease and to the other fibrous soft tissues is discussed in detail. Since the main modelling effort in the literature has been on the passive response of arteries, this is also the concern of the major part of this article. A section is nevertheless devoted to reviewing the limited literature within the continuum mechanics framework on the active response of artery walls, i.e. the mechanical behaviour associated with the activation of smooth muscle, a very important but also very challenging topic that requires substantial further development. A final section provides a brief summary of the current state of arterial wall mechanical modelling and points to key areas that need further modelling effort in order to improve understanding of the biomechanics and mechanobiology of arteries and other soft tissues, from the molecular, to the cellular, tissue and organ levels.

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Section: (I) the Influence Of The Dispersion Parameter Kmentioning

confidence: 99%

Constitutive modelling of arteries

2010

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“…The passive material is modeled as nearly incompressible Mooney‐Rivlin material, with constants C 1 = 20 kPa and C 2 = 40 Pa where a volumetric penalization technique for the incompressibility was used, ie, κ ( J + 1/ J − 2) 2 with J the Jacobian of the deformation gradient and κ = 10 4 kPa . This lead to a volume change of 0.3 to 0.75 % from diastole to systole, depending on the atrial model.…”

Section: Methodsmentioning

confidence: 99%

Automatic mapping of atrial fiber orientations for patient‐specific modeling of cardiac electromechanics using image registration

Hoermann

Pfaller

Avena

et al. 2019

Numer Methods Biomed Eng

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Knowledge of appropriate local fiber architecture is necessary to simulate patient‐specific electromechanics in the human heart. However, it is not yet possible to reliably measure in vivo fiber directions especially in human atria. Thus, we present a method that defines the fiber architecture in arbitrarily shaped atria using image registration and reorientation methods based on atlas atria with fibers predefined from detailed histological observations. Thereby, it is possible to generate detailed fiber families in every new patient‐specific geometry in an automated, time‐efficient process. We demonstrate the good performance of the image registration and fiber definition on 10 differently shaped human atria. Additionally, we show that characteristics of the electrophysiological activation pattern that appear in the atlas atria also appear in the patients' atria. We arrive to analogous conclusions for coupled electro‐mechano‐hemodynamical computations.

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“…This four‐element Maxwell chamber has been calibrated to reproduce the mechanical behavior of the alveolar duct model in Figure 6(a), developed in . We are also able to calibrate this model with more sophisticated resolved 3D models of the alveolar region including surfactant effects as presented in . Each acinus is assumed to be filled with a tree of alveolar ducts as illustrated in Figure 6(c).…”

Section: Mathematical Modelsmentioning

confidence: 99%

A comprehensive computational human lung model incorporating inter‐acinar dependencies: Application to spontaneous breathing and mechanical ventilation

Roth

Ismail

Yoshihara

et al. 2016

Numer Methods Biomed Eng

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In this article, we propose a comprehensive computational model of the entire respiratory system, which allows simulating patient-specific lungs under different ventilation scenarios and provides a deeper insight into local straining and stressing of pulmonary acini. We include novel 0D inter-acinar linker elements to respect the interplay between neighboring alveoli, an essential feature especially in heterogeneously distended lungs. The model is applicable to healthy and diseased patient-specific lung geometries. Presented computations in this work are based on a patient-specific lung geometry obtained from computed tomography data and composed of 60,143 conducting airways, 30,072 acini, and 140,135 inter-acinar linkers. The conducting airways start at the trachea and end before the respiratory bronchioles. The acini are connected to the conducting airways via terminal airways and to each other via inter-acinar linkers forming a fully coupled anatomically based respiratory model. Presented numerical examples include simulation of breathing during a spirometry-like test, measurement of a quasi-static pressure-volume curve using a supersyringe maneuver, and volume-controlled mechanical ventilation. The simulations show that our model incorporating inter-acinar dependencies successfully reproduces physiological results in healthy and diseased states. Moreover, within these scenarios, a deeper insight into local pressure, volume, and flow rate distribution in the human lung is investigated and discussed. Copyright © 2016 John Wiley & Sons, Ltd.

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Modeling the Mechanical Behavior of Lung Tissue at the Microlevel

Cited by 30 publications

References 24 publications

Constitutive modelling of arteries

Constitutive modelling of arteries

Automatic mapping of atrial fiber orientations for patient‐specific modeling of cardiac electromechanics using image registration

A comprehensive computational human lung model incorporating inter‐acinar dependencies: Application to spontaneous breathing and mechanical ventilation

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