Multiscale Coupling of One-dimensional Vascular Models and Elastic Tissues
| Autor: | Luca Heltai, Lucas O. Müller, Alfonso Caiazzo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Finite element methods
Discretization 74Q99 Quantitative Biology::Tissues and Organs Finite Element Analysis Physics::Medical Physics Biomedical Engineering 74G15 010103 numerical & computational mathematics 030204 cardiovascular system & hematology 01 natural sciences Finite volume methods Quantitative Biology::Cell Behavior Settore MAT/08 - Analisi Numerica 03 medical and health sciences Matrix (mathematics) 0302 clinical medicine Vascularized tissues Computer Simulation 0101 mathematics Elasticity (economics) Microscale chemistry Complex fluid Physics Finite volume method Immersed methods Linear elasticity Hemodynamics Models Cardiovascular Mechanics Elastic Tissue Finite element method Virtual Physiological Human 74F10 74S05 |
| Zdroj: | Annals of Biomedical Engineering |
| DOI: | 10.34657/7044 |
| Popis: | We present a computational multiscale model for the efficient simulation of vascularized tissues, composed of an elastic three-dimensional matrix and a vascular network. The effect of blood vessel pressure on the elastic tissue is surrogated via hyper-singular forcing terms in the elasticity equations, which depend on the fluid pressure. In turn, the blood flow in vessels is treated as a one-dimensional network. Intravascular pressure and velocity are simulated using a high-order finite volume scheme, while the elasticity equations for the tissue are solved using a finite element method. This work addresses the feasibility and the potential of the proposed coupled multiscale model. In particular, we assess whether the multiscale model is able to reproduce the tissue response at the effective scale (of the order of millimeters) while modeling the vasculature at the microscale. We validate the multiscale method against a full scale (three-dimensional) model, where the fluid/tissue interface is fully discretized and treated as a Neumann boundary for the elasticity equation. Next, we present simulation results obtained with the proposed approach in a realistic scenario, demonstrating that the method can robustly and efficiently handle the one-way coupling between complex fluid microstructures and the elastic matrix. Supplementary Information The online version contains supplementary material available at 10.1007/s10439-021-02804-0. |
| Databáze: | OpenAIRE |
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