A Luenberger observer for reaction-diffusion models with front position data
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Publication:2374696
DOI10.1016/j.jcp.2015.07.044zbMath1349.76445OpenAlexW1767397276MaRDI QIDQ2374696
Dominique Chapelle, Annabelle Collin, Philippe Moireau
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2015.07.044
image processingreaction-diffusion modelfront propagationeikonal equationdata assimilationcardiac electrophysiology
Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods applied to problems in fluid mechanics (76M20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Semilinear parabolic equations (35K58)
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Cites Work
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- A two-current model for the dynamics of cardiac membrane
- Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
- Discretization of Dirac delta functions in level set methods
- Recovering the initial state of an infinite-dimensional system using observers
- Infinite-dimensional Luenberger-like observers for a rotating body-beam system
- Identification of weakly coupled multiphysics problems. application to the inverse problem of electrocardiography
- Wavefront propagation in an activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations
- Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field
- Joint state and parameter estimation for distributed mechanical systems
- Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
- An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effects
- A wildland fire model with data assimilation
- Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
- An eikonal-curvature equation for action potential propagation in myocardium
- Qualitative theory of the Fitz Hugh-Nagumo equations
- Multidimensional nonlinear diffusion arising in population genetics
- Mathematical physiology
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional
- Incorporating topological derivatives into level set methods.
- Dynamically adapted mesh refinement for combustion front tracking.
- A multiphase level set framework for image segmentation using the Mumford and Shah model
- Computational cardiology. Modeling of anatomy, electrophysiology, and mechanics.
- A variational level set approach to multiphase motion
- Exponential convergence of an observer based on partial field measurements for the wave equation
- Data assimilation for hyperbolic conservation laws: a Luenberger observer approach based on a kinetic description
- Approximation of single layer distributions by Dirac masses in finite element computations
- Back and forth nudging algorithm for data assimilation problems
- Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
- A SURFACE-BASED ELECTROPHYSIOLOGY MODEL RELYING ON ASYMPTOTIC ANALYSIS AND MOTIVATED BY CARDIAC ATRIA MODELING
- Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems
- Erratum of article “Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems”
- Shapes and Geometries
- Computational modeling of cardiac electrophysiology: A novel finite element approach
- Filtering for distributed mechanical systems using position measurements: perspectives in medical imaging
- Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
- Analysis of a One-Dimensional Model for the Immersed Boundary Method
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, I
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, II
- Active contours without edges
- On a wildland fire model with radiation
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- MODELLING THREE-DIMENSIONAL GROWTH OF BRAIN TUMOURS FROM TIME SERIES OF SCANS
- Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems
- A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
- A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation
- Coefficient determination via asymptotic spreading speeds
- Computing the Electrical Activity in the Heart
- Data Assimilation
- TheKolmogorov Legacy in Physics
