A combined fluid–structure interaction and multi–field scalar transport model for simulating mass transport in biomechanics

Yoshihara, Lena; Coroneo, Mirella; Comerford, Andrew; Bauer, G.; Kloppel, Thomas M.; Wall, Wolfgang A.

doi:10.1002/nme.4735

Cited by 13 publications

(13 citation statements)

References 38 publications

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“…We model the ALE field as quasi-elastostatic structure on the domain Ω G 0 [108]. Its interface deformation is governed by the structure's interface displacement field reading d G = d S on Γ G FS3I .…”

Section: Ale Mesh Movementmentioning

confidence: 99%

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A multiphysics approach for modeling early atherosclerosis

Thon

Hemmler

Glinzer

et al. 2017

Biomech Model Mechanobiol

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This work is devoted to the development of a mathematical model of the early stages of atherosclerosis incorporating processes of all time scales of the disease and to show their interactions. The cardiovascular mechanics is modeled by a fluid-structure interaction approach coupling a non-Newtonian fluid to a hyperelastic solid undergoing anisotropic growth and a change of its constitutive equation. Additionally, the transport of low-density lipoproteins and its penetration through the endothelium is considered by a coupled set of advection-diffusion-reaction equations. Thereby, the permeability of the endothelium is wall-shear stress modulated resulting in a locally varying accumulation of foam cells triggering a novel growth and remodeling formulation. The model is calibrated and applied to an murine-specific case study, and a qualitative validation of the computational results is performed. The model is utilized to further investigate the influence of the pulsatile blood flow and the compliance of the artery wall to the atherosclerotic process. The computational results imply that the pulsatile blood flow is crucial, whereas the compliance of the aorta has only a minor influence on atherosclerosis. Further, it is shown that the novel model is capable to produce a narrowing of the vessel lumen inducing an adaption of the endothelial permeability pattern.

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Section: Ale Mesh Movementmentioning

confidence: 99%

“…Thereby, ( , ) Ω ( ) and ( , ) Γ ( ) denote the usual L 2 inner products on Ω ( ) and Γ ( ) , respectively. The overall weak subproblem of the SSI model for the scalar concentrations of species reads: Find c F S i ∈ S c F S and c SS i ∈ S c SS such that [108]:…”

Section: Weak Formmentioning

confidence: 99%

A multiphysics approach for modeling early atherosclerosis

Thon

Hemmler

Glinzer

et al. 2017

Biomech Model Mechanobiol

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“…Fluid dynamics and scalar transport equations are solved via stabilised finite elements 24 in our in-house code, which has been used successfully in several biomedical flow and transport applications (see e.g. 25 – 28 ). For validation of the presented computational methods in the course of HFOV, an available benchmark test setup is simulated and results are verified against available literature data in the supplementary material S3.…”

Section: Methodsmentioning

confidence: 99%

Gas exchange mechanisms in preterm infants on HFOV – a computational approach

Roth

Förster

Hilgendorff

et al. 2018

Sci Rep

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High-frequency oscillatory ventilation (HFOV) is a commonly used therapy applied to neonates requiring ventilatory support during their first weeks of life. Despite its wide application, the underlying gas exchange mechanisms promoting the success of HVOF in neonatal care are not fully understood until today. In this work, a highly resolved computational lung model, derived from Magnetic Resonance Imaging (MRI) and Infant Lung Function Testing (ILFT), is used to reveal the reason for highly efficient gas exchange during HFOV, in the preterm infant. In total we detected six mechanisms that facilitate gas exchange during HFOV: (i) turbulent vortices in large airways; (ii) asymmetric in- and expiratory flow profiles; (iii) radial mixing in main bronchi; (iv) laminar flow in higher generations of the respiratory tract; (v) pendelluft; (vi) direct ventilation of central alveoli. The illustration of six specific gas transport phenomena during HFOV in preterm infants advances general knowledge on protective ventilation in neonatal care and can support decisions on various modes of ventilatory therapy at high frequencies.

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“…[1][2][3] The present work can be considered as a first step towards modeling biological FSFI applications in future, especially the biofilm detachment phenomenon 4,5 due to fluid loads. Specifically, when the cracks are initiated from the structure's boundary that is in contact with the fluid, the surrounding fluid medium fills the resulting crack opening.…”

Section: Objective and Motivationmentioning

confidence: 99%

“…To be more precise, the aims here are to develop a method that allows to One of the motivations of the present work is our interest in characterizing the fluid dynamic behavior and detachment/fracture characteristics of biofilm streamers. [1][2][3] The present work can be considered as a first step towards modeling biological FSFI applications in future, especially the biofilm detachment phenomenon 4,5 due to fluid loads.…”

Section: Objective and Motivationmentioning

confidence: 99%

A strongly coupled partitioned approach for fluid‐structure‐fracture interaction

Sudhakar

Wall

2018

Numerical Methods in Fluids

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Summary We present a novel method to model large deformation fluid‐structure‐fracture interaction, which is characterized by the fact that the fluid‐induced loads lead to fracture of the structure and the fluid medium fills the resulting crack opening; the mutual interaction between the crack faces and the surrounding fluid contributes substantially to the overall dynamics. A mesh refitting approach is used to model the quasi‐static fracture of the structure, and a robust embedded interface formulation is used to solve the fluid flow equations. The proposed method uses a strongly coupled partitioned scheme with Aitken's Δ2 method as convergence accelerator. Selected numerical examples of increasing complexity are presented to evaluate the performance of the proposed fluid‐structure‐fracture coupling algorithm. The most difficult simulation of the reported examples involves a number of complex phenomena: mixed‐mode crack propagation through the structure, fluid starts to fill the crack opening, complete fracture of the structure into two pieces of which one is carried away by the flow.

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A combined fluid–structure interaction and multi–field scalar transport model for simulating mass transport in biomechanics

Cited by 13 publications

References 38 publications

A multiphysics approach for modeling early atherosclerosis

A multiphysics approach for modeling early atherosclerosis

Gas exchange mechanisms in preterm infants on HFOV – a computational approach

A strongly coupled partitioned approach for fluid‐structure‐fracture interaction

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