Efficient estimation of cardiac conductivities: a proper generalized decomposition approach

A fast computational model for the electrophysiology of the whole human heart ⋮ Graph-based homogenisation for modelling cardiac fibrosis ⋮ Reconstruction of flow domain boundaries from velocity data via multi-step optimization of distributed resistance ⋮ A curvilinear isogeometric framework for the electromechanical activation of thin muscular tissues ⋮ Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias

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Optimal control approach to termination of re-entry waves in cardiac electrophysiology
Optimal control of the bidomain system. II: Uniqueness and regularity theorems for weak solutions
Efficient estimation of cardiac conductivities via POD-DEIM model order reduction
A sensitivity study of conductivity values in the passive bidomain equation
On the deterministic solution of multidimensional parametric models using the proper generalized decomposition
The LATIN multiscale computational method and the proper generalized decomposition
An a posteriori error estimator for model adaptivity in electrocardiology
Reduced order model in cardiac electrophysiology with approximated Lax pairs
An efficient generalization of the Rush--Larsen method for solving electro-physiology membrane equations
A model-based block-triangular preconditioner for the bidomain system in electrocardiology
A modeling framework for electro-mechanical interaction between excitable deformable cells
Theory and practice of finite elements.
Optimal control of the bidomain system (I): the monodomain approximation with the Rogers-McCulloch model
Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method
Experimental validation of a variational data assimilation procedure for estimating space-dependent cardiac conductivities
Propagating uncertainties in large-scale hemodynamics models via network uncertainty quantification and reduced-order modeling
Non-conforming finite-element formulation for cardiac electrophysiology: an effective approach to reduce the computation time of heart simulations without compromising accuracy
Model reduction by separation of variables: a comparison between hierarchical model reduction and proper generalized decomposition
Multi-fidelity classification using Gaussian processes: accelerating the prediction of large-scale computational models
Mathematical physiology. I: Cellular physiology
The proper generalized decomposition for advanced numerical simulations. A primer
Optimized Schwarz coupling of Bidomain and Monodomain models in electrocardiology
Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Data Assimilation in Cardiovascular Fluid–Structure Interaction Problems: An Introduction
Nonlinear model order reduction based on local reduced-order bases
Parallel Multilevel Schwarz and Block Preconditioners for the Bidomain Parabolic-Parabolic and Parabolic-Elliptic Formulations
Estimation of cardiac conductivities in ventricular tissue by a variational approach
Numerical solution of the bidomain equations
Constitutive modelling of passive myocardium: a structurally based framework for material characterization
Numerical sensitivity analysis of a variational data assimilation procedure for cardiac conductivities
Hierarchically reduced models for the Stokes problem in patient-specific artery segments
Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System
Data Assimilation
A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
Chapter 1: Introduction to data assimilation and inverse problems