Displacement and Pressure Reconstruction from Magnetic Resonance Elastography Images: Application to an In Silico Brain Model

DOI10.1137/22m149363xzbMath1519.35340arXiv2204.12445OpenAlexW4379881474MaRDI QIDQ6113275

Unnamed Author, Jörg Polzehl, Ingolf Sack, Alfonso Caiazzo, Unnamed Author, Felipe Galarce, Karsten Tabelow, Vasileios Vavourakis

Publication date: 8 August 2023

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.12445

zbMATH Keywords

finite element methodstate estimationdata assimilationelastographyporoelasticityreduced-order modeling

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Cell biology (92C37) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Computational methods for problems pertaining to biology (92-08)

Cites Work

• Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
• Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models
• Modeling the porous and viscous responses of human brain tissue behavior
• A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: Diffusion-dominated regime
• Stability and monotonicity for some discretizations of the Biot's consolidation model
• A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics
• A New Look at Proper Orthogonal Decomposition
• State Estimation with Model Reduction and Shape Variability. Application to biomedical problems
• Data Assimilation in Reduced Modeling
• A hydroelastic model of hydrocephalus

This page was built for publication: Displacement and Pressure Reconstruction from Magnetic Resonance Elastography Images: Application to an In Silico Brain Model