Publications related to Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods

Related publications (10)

Riemannian acceleration with preconditioning for symmetric eigenvalue problems

The analysis of the acceleration behavior of gradient-based eigensolvers with preconditioning presents a substantial theoretical challenge. In this work, we present a novel framework for preconditioning on Riemannian manifolds and introduce a metric, the l ...

Springer2025

S-R2D2: a spherical extension of the R2D2 deep neural network series paradigm for wide-field radio-interferometric imaging

Ayoub Tajja, Jean-Philippe Thiran, Jean-Paul Richard Kneib, Emma Elizabeth Tolley

Recently, the R2D2 paradigm, standing for ‘Residual-to-Residual DNN series for high-Dynamic-range imaging’, was introduced for image formation in Radio Interferometry (RI) as a learned version of the traditional algorithm CLEAN. The first incarnations of R ...

Oxford University Press (OUP)2025

Individually optimized dynamic parallel transmit pulses for 3D high‐resolution SPACE imaging at 7T

Emilie Claire Sleight, Natalia Pato Montemayor, Bénédicte Marie Maréchal, Tom Hilbert, Thomas Yu, Tommaso Di Noto, Jocelyn Philippe, Lina Bacha

Purpose: Although clinical 7T MRI offers various advantages compared to lower field strengths, achieving spatially uniform flip angle distributions remains a challenge. Sampling Perfection with Application optimized Contrast using different flip angle Evol ...

Wiley2025

A matrix-free high-order solver for the numerical solution of cardiac electrophysiology

Alfio Quarteroni

We propose a matrix-free solver for the numerical solution of the cardiac electrophysiology model consisting of the monodomain nonlinear reaction-diffusion equation coupled with a system of ordinary differential equations for the ionic species. Our numeric ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2023

A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction

Alfio Quarteroni

We present a loosely coupled scheme for the numerical simulation of the cardiac electrofluid-structure interaction problem, whose solution is typically computationally intensive due to the need to suitably treat the coupling of the different submodels. Our ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2023

Scattering from Time-Modulated Transmission-Line Loads: Theory and Experiments in Acoustics

Romain Christophe Rémy Fleury, Matthieu Francis Malléjac

Scattering wave systems that are periodically modulated in time offer many new degrees of freedom to control waves in both the spatial and frequency domains. Such systems, albeit linear, do not conserve frequency and require the adaptation of the usual the ...

American Physical Society (APS)2023

Universal Solution Manifold Networks (USM-Nets): Non-Intrusive Mesh-Free Surrogate Models for Problems in Variable Domains

Alfio Quarteroni

We introduce universal solution manifold network (USM-Net), a novel surrogate model, based on artificial neural networks (ANNs), which applies to differential problems whose solution depends on physical and geometrical parameters. We employ a mesh-less arc ...

ASME2022

Fluid and White Matter Suppression New Sensitive 3 T Magnetic Resonance Imaging Contrasts for Cortical Lesion Detection in Multiple Sclerosis

Meritxell Bach Cuadra, Francesco La Rosa

Objective Cortical lesions are common in multiple sclerosis (MS), but their visualization is challenging on conventional magnetic resonance imaging. The uniform image derived from magnetization prepared 2 rapid acquisition gradient echoes (MP2RAGE(uni)) de ...

LIPPINCOTT WILLIAMS & WILKINS2022

Deterministic particle approximation of aggregation-diffusion equations on unbounded domains

Emanuela Radici

We consider a one-dimensional aggregation-diffusion equation, which is the gradient flow in the Wasserstein space of a functional with competing attractive-repulsive interactions. We prove that the fully deterministic particle approximations with piecewise ...

2022

Cortical lesions, central vein sign, and paramagnetic rim lesions in multiple sclerosis: Emerging machine learning techniques and future avenues

Jean-Philippe Thiran, Tobias Kober, Meritxell Bach Cuadra, Cristina Granziera, Francesco La Rosa

The current diagnostic criteria for multiple sclerosis (MS) lack specificity, and this may lead to misdiagnosis, which remains an issue in present-day clinical practice. In addition, conventional biomarkers only moderately correlate with MS disease progres ...

ELSEVIER SCI LTD2022