Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema

 

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Autoři: Barnafi Wittwer, Nicolás Alejandro, Gómez Vargas, Bryan Andrés, Lourenço, Wesley De Jesus, Reis, Ruy Freitas, Rocha, Bernardo Martins, Lobosco, Marcelo, Ruiz Baier, Ricardo, Weber dos Santos, Rodrigo
Médium: artículo original
Datum vydání:2022
Popis:In this paper we propose a novel coupled poroelasticity-diffusion model for the formation of extracellular oedema and infectious myocarditis valid in large deformations, manifested as an interaction between interstitial flow and the immune-driven dynamics between leukocytes and pathogens. The governing partial differential equations are formulated in terms of skeleton displacement, fluid pressure, Lagrangian porosity, and the concentrations of pathogens and leukocytes. A five-field finite element scheme is proposed for the numerical approximation of the problem, and we provide the stability analysis for a simplified system emanating from linearisation. We also discuss the construction of an adequate, Schur complement based, nested preconditioner. The produced computational tests exemplify the properties of the new model and of the finite element schemes.
Země:Kérwá
Instituce:Universidad de Costa Rica
Repositorio:Kérwá
Jazyk:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/88264
On-line přístup:https://link.springer.com/article/10.1007/s10915-022-01944-2
https://hdl.handle.net/10669/88264
Klíčové slovo:Poroelasticity
Finite-strain regime
Cardiac applications
Oedema formation
Finite element discretisation
DIFFUSION
SIMULATION MODELS
CARDIOVASCULAR DISEASES