Evidence map›Paper›PMID 37600475›Full record

ArticleComputer methods in applied mechanics and engineering2023

A stabilized linear finite element method for anisotropic poroelastodynamics with application to cardiac perfusion.

Namshad Thekkethil, Simone Rossi, Hao Gao, Scott I Heath Richardson, Boyce E Griffith, Xiaoyu Luo

Abstract read
In one paragraph

Article in Computer methods in applied mechanics and engineering, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

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1citing papers in PubMed
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1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

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3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

6 authors.

Namshad ThekkethilSchool of Mathematics and Statistics, University of Glasgow, Glasgow, UK.
Simone RossiDepartment of Mathematics, University of North Carolina, Chapel Hill, NC, USA.
Hao GaoSchool of Mathematics and Statistics, University of Glasgow, Glasgow, UK.
Scott I Heath RichardsonSchool of Mathematics and Statistics, University of Glasgow, Glasgow, UK.
Boyce E GriffithDepartments of Mathematics, Applied Physical Sciences, and Biomedical Engineering, University of North Carolina, Chapel Hill, NC, USA.
Xiaoyu LuoSchool of Mathematics and Statistics, University of Glasgow, Glasgow, UK.

Funding

Multiscale Modeling of Clotting Risk in Atrial FibrillationU01HL143336 · NHLBI · UNIV OF NORTH CAROLINA CHAPEL HILL · PI GRIFFITH, BOYCE EUGENE · 2018 to 2022
$2.8M
NHLBI NIH HHS U01 HL143336
6 · The paper itself

Abstract

We propose a variational multiscale method stabilization of a linear finite element method for nonlinear poroelasticity. Our approach is suitable for the implicit time integration of poroelastic formulations in which the solid skeleton is anisotropic and incompressible. A detailed numerical methodology is presented for a monolithic formulation that includes both structural dynamics and Darcy flow. Our implementation of this methodology is verified using several hyperelastic and poroelastic benchmark cases, and excellent agreement is obtained with the literature. Grid convergence studies for both anisotropic hyperelastodynamics and poroelastodynamics demonstrate that the method is second-order accurate. The capabilities of our approach are demonstrated using a model of the left ventricle (LV) of the heart derived from human imaging data. Simulations using this model indicate that the anisotropicity of the myocardium has a substantial influence on the pore pressure. Furthermore, the temporal variations of the various components of the pore pressure (hydrostatic pressure and pressure resulting from changes in the volume of the pore fluid) are correlated with the variation of the added mass and dynamics of the LV, with maximum pore pressure being obtained at peak systole. The order of magnitude and the temporal variation of the pore pressure are in good agreement with the literature.

Indexed as

Finite element methodLeft ventriclePerfusionPoroelasticityVariational multiscale stabilization

Identifiers

PMID37600475
PMCPMC10438829

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