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Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods.
- Source :
- Mathematical Models & Methods in Applied Sciences; Jul2023, Vol. 33 Issue 8, p1577-1609, 33p
- Publication Year :
- 2023
-
Abstract
- We introduce and analyze a discontinuous Galerkin method for the numerical modeling of the equations of Multiple-Network Poroelastic Theory (MPET) in the dynamic formulation. The MPET model can comprehensively describe functional changes in the brain considering multiple scales of fluids. Concerning the spatial discretization, we employ a high-order discontinuous Galerkin method on polygonal and polyhedral grids and we derive stability and a priori error estimates. The temporal discretization is based on a coupling between a Newmark β -method for the momentum equation and a -method for the pressure equations. After the presentation of some verification numerical tests, we perform a convergence analysis using an agglomerated mesh of a geometry of a brain slice. Finally, we present a simulation in a three-dimensional patient-specific brain reconstructed from magnetic resonance images. The model presented in this paper can be regarded as a preliminary attempt to model the perfusion in the brain. [ABSTRACT FROM AUTHOR]
- Subjects :
- MAGNETIC resonance imaging
GALERKIN methods
ENTORHINAL cortex
POROELASTICITY
Subjects
Details
- Language :
- English
- ISSN :
- 02182025
- Volume :
- 33
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Mathematical Models & Methods in Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 164628974
- Full Text :
- https://doi.org/10.1142/S0218202523500367