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A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction

Modern approaches to modelling cardiac perfusion now commonly describe the myocardium using the framework of poroelasticity. Cardiac tissue can be described as a saturated porous medium composed of the pore fluid (blood) and the skeleton (myocytes and collagen scaffold). In previous studies fluid–st...

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Autores principales: Richardson, Scott I. Heath, Gao, Hao, Cox, Jennifer, Janiczek, Rob, Griffith, Boyce E., Berry, Colin, Luo, Xiaoyu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8274593/
https://www.ncbi.nlm.nih.gov/pubmed/33559359
http://dx.doi.org/10.1002/cnm.3446
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author Richardson, Scott I. Heath
Gao, Hao
Cox, Jennifer
Janiczek, Rob
Griffith, Boyce E.
Berry, Colin
Luo, Xiaoyu
author_facet Richardson, Scott I. Heath
Gao, Hao
Cox, Jennifer
Janiczek, Rob
Griffith, Boyce E.
Berry, Colin
Luo, Xiaoyu
author_sort Richardson, Scott I. Heath
collection PubMed
description Modern approaches to modelling cardiac perfusion now commonly describe the myocardium using the framework of poroelasticity. Cardiac tissue can be described as a saturated porous medium composed of the pore fluid (blood) and the skeleton (myocytes and collagen scaffold). In previous studies fluid–structure interaction in the heart has been treated in a variety of ways, but in most cases, the myocardium is assumed to be a hyperelastic fibre-reinforced material. Conversely, models that treat the myocardium as a poroelastic material typically neglect interactions between the myocardium and intracardiac blood flow. This work presents a poroelastic immersed finite element framework to model left ventricular dynamics in a three-phase poroelastic system composed of the pore blood fluid, the skeleton, and the chamber fluid. We benchmark our approach by examining a pair of prototypical poroelastic formations using a simple cubic geometry considered in the prior work by Chapelle et al (2010). This cubic model also enables us to compare the differences between system behaviour when using isotropic and anisotropic material models for the skeleton. With this framework, we also simulate the poroelastic dynamics of a three-dimensional left ventricle, in which the myocardium is described by the Holzapfel–Ogden law. Results obtained using the poroelastic model are compared to those of a corresponding hyperelastic model studied previously. We find that the poroelastic LV behaves differently from the hyper-elastic LV model. For example, accounting for perfusion results in a smaller diastolic chamber volume, agreeing well with the well-known wall-stiffening effect under perfusion reported previously. Meanwhile differences in systolic function, such as fibre strain in the basal and middle ventricle, are found to be comparatively minor.
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spelling pubmed-82745932021-07-12 A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction Richardson, Scott I. Heath Gao, Hao Cox, Jennifer Janiczek, Rob Griffith, Boyce E. Berry, Colin Luo, Xiaoyu Int J Numer Method Biomed Eng Article Modern approaches to modelling cardiac perfusion now commonly describe the myocardium using the framework of poroelasticity. Cardiac tissue can be described as a saturated porous medium composed of the pore fluid (blood) and the skeleton (myocytes and collagen scaffold). In previous studies fluid–structure interaction in the heart has been treated in a variety of ways, but in most cases, the myocardium is assumed to be a hyperelastic fibre-reinforced material. Conversely, models that treat the myocardium as a poroelastic material typically neglect interactions between the myocardium and intracardiac blood flow. This work presents a poroelastic immersed finite element framework to model left ventricular dynamics in a three-phase poroelastic system composed of the pore blood fluid, the skeleton, and the chamber fluid. We benchmark our approach by examining a pair of prototypical poroelastic formations using a simple cubic geometry considered in the prior work by Chapelle et al (2010). This cubic model also enables us to compare the differences between system behaviour when using isotropic and anisotropic material models for the skeleton. With this framework, we also simulate the poroelastic dynamics of a three-dimensional left ventricle, in which the myocardium is described by the Holzapfel–Ogden law. Results obtained using the poroelastic model are compared to those of a corresponding hyperelastic model studied previously. We find that the poroelastic LV behaves differently from the hyper-elastic LV model. For example, accounting for perfusion results in a smaller diastolic chamber volume, agreeing well with the well-known wall-stiffening effect under perfusion reported previously. Meanwhile differences in systolic function, such as fibre strain in the basal and middle ventricle, are found to be comparatively minor. 2021-02-28 2021-05 /pmc/articles/PMC8274593/ /pubmed/33559359 http://dx.doi.org/10.1002/cnm.3446 Text en https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
spellingShingle Article
Richardson, Scott I. Heath
Gao, Hao
Cox, Jennifer
Janiczek, Rob
Griffith, Boyce E.
Berry, Colin
Luo, Xiaoyu
A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction
title A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction
title_full A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction
title_fullStr A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction
title_full_unstemmed A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction
title_short A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction
title_sort poroelastic immersed finite element framework for modelling cardiac perfusion and fluid–structure interaction
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8274593/
https://www.ncbi.nlm.nih.gov/pubmed/33559359
http://dx.doi.org/10.1002/cnm.3446
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