A5062037573- Cardiac electrophysiology and arrhythmias
- Advanced Numerical Methods in Computational Mathematics
- Advanced MRI Techniques and Applications
- ECG Monitoring and Analysis
- Cardiovascular Function and Risk Factors
- Advanced Mathematical Modeling in Engineering
- Cardiac Arrhythmias and Treatments
- Numerical methods for differential equations
- Computational Fluid Dynamics and Aerodynamics
- Electrical and Bioimpedance Tomography
- Differential Equations and Numerical Methods
- Neuroscience and Neural Engineering
- Elasticity and Material Modeling
- Nonlinear Dynamics and Pattern Formation
- Model Reduction and Neural Networks
- Fault Detection and Control Systems
- Analog and Mixed-Signal Circuit Design
- Electron Spin Resonance Studies
- Atrial Fibrillation Management and Outcomes
- Cardiac Imaging and Diagnostics
- Ultrasonics and Acoustic Wave Propagation
- Probabilistic and Robust Engineering Design
- Low-power high-performance VLSI design
- Composite Material Mechanics
- NMR spectroscopy and applications
Laboratoire CarMeN
2015-2024
Electrophysiology and Heart Modeling Institute
2015-2024
Institut de Mathématiques de Bordeaux
2015-2024
Hôpital Cardiologique du Haut-Lévêque
2013-2024
Centre Hospitalier Universitaire de Bordeaux
2013-2024
Université de Bordeaux
2015-2024
Centre National de la Recherche Scientifique
2005-2023
Institut Polytechnique de Bordeaux
2018-2023
Centre de Recherche Inria Bordeaux - Sud-Ouest
2015-2020
Institut national de recherche en informatique et en automatique
1997-2019
In this paper, a class of cell centered finite volume schemes, on general unstructured meshes, for linear convection-diffusion problem, is studied. The convection and the diffusion are respectively approximated by means an upwind scheme so called diamond method [4]. Our main result error estimate order h, assuming only W2,p (for p>2) regularity continuous solution, mesh quadrangles. proof based extension ideas developed in [12]. Some new difficulties arise here, due to weak necessity...
Atrial numerical modelling has generally represented the organ as either a surface or tissue with thickness. While models have significant computational advantages over models, they cannot fully capture propagation patterns seen in vivo, such dissociation of activity between endo- and epicardium. We introduce an intermediate representation, bilayer model human atria, which is capable recreating recorded activation patterns. simultaneously solved two monodomain problems by formalizing...
In this paper we extend the discrete duality finite volume (DDFV) formulation to steady convection-diffusion equation. The gradients defined in DDFV are used define a cell-based gradient for control volumes of both primal and dual meshes, order achieve higher-order accurate numerical flux convection term. A priori analysis is carried out show convergence approximation, global first-order rate derived. theoretical results confirmed by some experiments.
Discrete duality finite volume (DDFV) schemes have recently been developed in two dimensions to approximate nonlinear diffusion problems on general meshes. In this paper, a three-dimensional extension of these is proposed. The construction detailed and its main properties are proved: priori bounds, well-posedness, error estimates. practical implementation scheme easy. Numerical experiments presented illustrate good behavior.
The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and deduce Lp error estimates on the approximate solutions convection diffusion equations by finite volume schemes.
We study a finite volume method, used to approximate the solution of linear two dimensional convection diffusion equation, with mixed Dirichlet and Neumann boundary conditions, on Cartesian meshes refined by an automatic technique (which leads hanging nodes). propose analysis through discrete variational approach, in H1 space. actually prove convergence scheme norm, error estimate order O(h) (on size h).
This paper is devoted to the construction of a mathematical model His-Purkinje tree and Purkinje-Muscle Junctions (PMJ). A simple numerical scheme proposed in order perform some experiments.
Multi electrodes arrays (MEAs) combined with cardiomyocytes derived from human-induced pluripotent stem cells (hiPSC-CMs) can enable high- or medium-throughput drug screening in safety pharmacology. This technology has recently attracted a lot of attention, particular an international initiative named CiPA. But it is currently limited by the difficulty to analyze measured signals. We propose strategy signals acquired MEA and automatically deduce channels affected drug.Our method based on...
The electrocardiographic imaging (ECGI) inverse problem highly relies on adding constraints, a process called regularization, as the is ill-posed. When there not prior information provided about unknown epicardial potentials, Tikhonov regularization method seems to be most commonly used technique. In approach weight of constraints determined by parameter. However, parameter very and data dependent, meaning that different numerical models or clinical may require parameters. Then, we need have...
The wave equation model, originally developed to solve the advection–diffusion equation, is extended multidimensional transport in which advection velocities vary space and time. size of term with respect diffusion arbitrary. An operator-splitting method adopted equation. equations are solved separate ly at each time step. During phase using model. Consistency first-order second-order established. A finite element mass lumping employed calculate three-dimensional both a Gaussian cylinder...
The effect of torso conductivity heterogeneities on the electrocardiographic imaging (ECGI) inverse problem solution is still subject debate. In this study we present a method to assess these heterogeneities. We use an anatomical model containing heart lungs bones and surfaces. bidomain solve it using finite element methods in order generate silico data taking into account add different noise levels body surface potentials for both homogenous heterogeneous conductivities. analyse...
Background: Non-invasive electrocardiographic imaging (ECGI) is a promising tool to provide high-resolution panoramic of cardiac electrical activity noninvasively from body surface potential measurements. Current experimental methods for ECGI validation are limited comparison with unipolar electrograms and the relatively low spatial resolution mapping arrays. We aim develop novel set up combining human shaped torso tank optical allowing reconstructions. Methods: Langendorff-perfused pig...