Using parametric model order reduction for inverse analysis of large nonlinear cardiac simulations

Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

(2018) Stefano Pagani et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Efficient estimation of personalized biventricular mechanical function employing gradient-based optimization

(2018) Henrik Finsberg et al.   International Journal for Numerical Methods in Biomedical Engineering

Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization

(2018) Benjamin Peherstorfer et al.   SIAM REVIEW

The importance of the pericardium for cardiac biomechanics: from physiology to computational modeling

(2018) Martin R. Pfaller et al.   Biomechanics and Modeling in Mechanobiology

A monolithic 3D-0D coupled closed-loop model of the heart and the vascular system: Experiment-based parameter estimation for patient-specific cardiac mechanics

(2017) Marc Hirschvogel et al.   International Journal for Numerical Methods in Biomedical Engineering

Simulation of Left Ventricular Dynamics Using a Low-Order Mathematical Model

(2017) Michael J. Moulton et al.   Cardiovascular Engineering and Technology

An orthotropic viscoelastic model for the passive myocardium: continuum basis and numerical treatment

(2016) Osman Gültekin et al.   COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING

Multiphysics and multiscale modelling, data–model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics

(2016) Radomir Chabiniok et al.   Interface Focus

Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models

(2015) Charbel Farhat et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Identification of weakly coupled multiphysics problems. Application to the inverse problem of electrocardiography

(2015) Cesare Corrado et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

(2015) Peter Benner et al.   SIAM REVIEW

Reduced order model in cardiac electrophysiology with approximated Lax pairs

(2014) Jean-Frédéric Gerbeau et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Towards efficient uncertainty quantification in complex and large-scale biomechanical problems based on a Bayesian multi-fidelity scheme

(2014) Jonas Biehler et al.   Biomechanics and Modeling in Mechanobiology

Approximated Lax pairs for the reduced order integration of nonlinear evolution equations

(2014) Jean-Frédéric Gerbeau et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Dimensional reductions of a cardiac model for effective validation and calibration

(2013) M. Caruel et al.   Biomechanics and Modeling in Mechanobiology

A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation

(2013) D. Chapelle et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A reduced computational and geometrical framework for inverse problems in hemodynamics

(2013) Toni Lassila et al.   International Journal for Numerical Methods in Biomedical Engineering

Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells

(2013) A. Laadhari et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Accelerating Optimization of Parametric Linear Systems by Model Order Reduction

(2013) Yao Yue et al.   SIAM JOURNAL ON OPTIMIZATION

Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data

(2012) P. Moireau et al.   Biomechanics and Modeling in Mechanobiology

Reduced-order modeling for cardiac electrophysiology. Application to parameter identification

(2012) M. Boulakia et al.   International Journal for Numerical Methods in Biomedical Engineering

Estimation of tissue contractility from cardiac cine-MRI using a biomechanical heart model

(2011) R. Chabiniok et al.   Biomechanics and Modeling in Mechanobiology

Sequential parameter estimation for fluid-structure problems: Application to hemodynamics

(2011) Cristóbal Bertoglio et al.   International Journal for Numerical Methods in Biomedical Engineering

Nonlinear Model Reduction via Discrete Empirical Interpolation

(2010) Saifon Chaturantabut et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Three-Wall Segment (TriSeg) Model Describing Mechanics and Hemodynamics of Ventricular Interaction

(2009) Joost Lumens et al.   ANNALS OF BIOMEDICAL ENGINEERING

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

(2009) Christophe Geuzaine et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Constitutive modelling of passive myocardium: a structurally based framework for material characterization

(2009) G. A. Holzapfel et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Coupling multi-physics models to cardiac mechanics

(2009) D.A. Nordsletten et al.   PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY

Interpolation Method for Adapting Reduced-Order Models and Application to Aeroelasticity

(2008) D. Amsallem et al.   AIAA JOURNAL

Reduced basis method for linear elasticity problems with many parameters

(2008) Roberto Milani et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

The arterial Windkessel

(2008) Nico Westerhof et al.   MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING