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Characterization of Spatio-Temporal Cardiac Action Potential Variability at Baseline and under beta-Adrenergic Stimulation by Combined Unscented Kalman Filter and Double Greedy Dimension Reduction

David Sampedro-Puente , Fabien Raphel , Jesus Fernandez-Bes , Pablo Laguna , Damiano Lombardi , et al.
IEEE Journal of Biomedical and Health Informatics, In press, ⟨10.1109/JBHI.2020.2984647⟩
Journal articles hal-02532554v1
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Approximated lax pairs and empirical interpolation for nonlinear parabolic partial differential equations

Jean-Frédéric Gerbeau , Damiano Lombardi , Elisa Schenone
2016
Preprints, Working Papers, ... hal-01278778v1
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A dynamical adaptive tensor method for the Vlasov-Poisson system

Virginie Ehrlacher , Damiano Lombardi
Journal of Computational Physics, 2017, 319, pp.285-306. ⟨10.1016/j.jcp.2017.03.015⟩
Journal articles hal-01335507v1
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A moment-matching method to study the variability of phenomena described by partial differential equations

Jean-Frédéric Gerbeau , Damiano Lombardi , Eliott Tixier
SIAM Journal on Scientific Computing, 2018, 40 (3)
Journal articles hal-01391254v1
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Advection Modes by Optimal Mass Transfer

Angelo Iollo , Damiano Lombardi
[Research Report] 2012, pp.33
Reports hal-00669693v1

Inverse Problems in tumor growth modeling by means of semiempirical eigenfunctions

Damiano Lombardi , Angelo Iollo , Thierry Colin , Olivier Saut
Mathematical Models and Methods in Applied Sciences, 2012, pp.1
Journal articles hal-00664723v1
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Contributions to scientific computing for data-simulation interaction in biomedical applications

Damiano Lombardi
Modeling and Simulation. Sorbonne Université, 2020
Habilitation à diriger des recherches tel-03114756v1

Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging

Felipe Galarce , Damiano Lombardi , Olga Mula
International Journal for Numerical Methods in Biomedical Engineering, 2020, ⟨10.1002/cnm.3416⟩
Journal articles hal-03037328v1

Prediction of the Evolution of Thyroidal Lung Nodules Using a Mathematical Model

Thierry Colin , Angelo Iollo , Damiano Lombardi , Olivier Saut
ERCIM News, 2012, 82, pp.37-38
Journal articles hal-01038030v1
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Eulerian models and algorithms for unbalanced optimal transport

Damiano Lombardi , Emmanuel Maitre
ESAIM: Mathematical Modelling and Numerical Analysis, 2015, Special Issue - Optimal Transport, 49 (6), pp.1717-1744. ⟨10.1051/m2an/2015025⟩
Journal articles hal-00976501v3
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Composite biomarkers derived from Micro-Electrode Array measurements and computer simulations improve the classification of drug-induced channel block

Eliott Tixier , Fabien Raphel , Damiano Lombardi , Jean-Frédéric Gerbeau
Frontiers in Physiology, 2018, 8 (1096), pp.1-30. ⟨10.3389/fphys.2017.01096⟩
Journal articles hal-01570819v3

Parametric PDEs solvers, uncertainty quantification and parameter estimation

Sébastien Riffaud , Damiano Lombardi , Miguel A Fernández
First International Conference Math 2 Product - M2P 2023, May 2023, Taormina, Italy
Conference papers hal-04012237v1
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Reduced order model in cardiac electrophysiology with approximated Lax pairs

Jean-Frédéric Gerbeau , Damiano Lombardi , Elisa Schenone
Advances in Computational Mathematics, 2015, 41 (5), pp.1103-1130. ⟨10.1007/s10444-014-9393-9⟩
Journal articles hal-01093488v2

Solving parametric PDEs via parsimonious discretizations: application to Uncertainty Quantification and Data Assimilation

Sébastien Riffaud , Damiano Lombardi , Miguel A Fernández
5th International Conference on Uncertainty Quantification in Computational Science and Engineering - UNCECOMP 2023, Jun 2023, Athens, Greece
Conference papers hal-04012274v1
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A low-rank tensor method for parameterized linear fluid-structure interaction problems

Sébastien Riffaud , Miguel Angel Fernández , Damiano Lombardi
CMBE 2022 - 7th International Conference on Computational and Mathematical Biomedical Engineering, Jun 2022, Milan, Italy
Conference papers hal-04010551v1

In vivo mathematical modeling of tumor growth from imaging data : soon to come in the future ?

Thierry Colin , Francois Cornelis , Olivier Saut , Patricio Cumsille , Damiano Lombardi , et al.
Diagnostic and Interventional Imaging, 2013, pp.571-574
Journal articles hal-01038054v1

A Lagrangian Scheme for the Solution of the Optimal Mass Transfer Problem

Damiano Lombardi , Angelo Iollo
Journal of Computational Physics, 2011, 230, pp.3430:3442
Journal articles hal-00664718v1
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SoTT: greedy approximation of a tensor as a sum of Tensor Trains

Virginie Ehrlacher , Maria Fuente-Ruiz , Damiano Lombardi
SIAM Journal on Scientific Computing, 2022, 44 (2), ⟨10.1137/20M1381472⟩
Journal articles hal-03018646v3

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

Virginie Ehrlacher , Damiano Lombardi , Olga Mula , François-Xavier Vialard
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, ⟨10.1051/m2an/2020013⟩
Journal articles hal-02290431v1
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Reducing Hypermuscularization of the Transitional Segment between Arterioles and Capillaries Protects Against Spontaneous Intracerebral Hemorrhage

Julien Ratelade , Nicholas Klug , Damiano Lombardi , Monara Kaelle Servulo Cruz Angelim , Fabrice Dabertrand , et al.
Circulation, 2020, 141 (25), pp.2078-2094. ⟨10.1161/CIRCULATIONAHA.119.040963⟩
Journal articles inserm-02511921v1
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Reduced Order Models at work

Michel Bergmann , Thierry Colin , Angelo Iollo , Damiano Lombardi , Olivier Saut , et al.
Quarteroni, Alfio. Modeling, Simulation and Applications, 9, Springer, 2013
Book sections hal-00906908v1

Some models for the prediction of tumor growth: general framework and applications to metastases in the lung

Damiano Lombardi , Thierry Colin , Angelo Iollo , Olivier Saut , Françoise Bonichon , et al.
Computational Surgery, Springer, pp.1, 2012
Book sections hal-00664725v1

Advection modes by optimal mass transfer

Angelo Iollo , Damiano Lombardi
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 89, pp.022923. ⟨10.1103/PhysRevE.89.022923⟩
Journal articles hal-00992346v1
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Reduced-Order Modeling based on Approximated Lax Pairs

Jean-Frédéric Gerbeau , Damiano Lombardi
[Research Report] RR-8137, INRIA. 2012, pp.21
Reports hal-00752810v1
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State estimation in nonlinear parametric time dependent systems using Tensor Train

Damiano Lombardi
International Journal for Numerical Methods in Engineering, 2022, ⟨10.1002/nme.7067⟩
Journal articles hal-03375811v3
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Modeling Variability in Cardiac Electrophysiology: A Moment Matching Approach

Eliott Tixier , Damiano Lombardi , Blanca Rodriguez , Jean-Frédéric Gerbeau
Journal of the Royal Society Interface, 2017, 14 (133), ⟨10.1098/rsif.2017.0238⟩
Journal articles hal-01570828v1
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Modeling autoregulation in three-dimensional simulations of retinal hemodynamics

Matteo Aletti , Jean-Frédéric Gerbeau , Damiano Lombardi
Journal for Modeling in Ophthalmology, 2015, 1
Journal articles hal-01242748v1
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A greedy dimension reduction method for classification problems

Damiano Lombardi , Fabien Raphel
2019
Preprints, Working Papers, ... hal-02280502v1
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A Reduced Order representation of the Poincaré-Steklov operator: an application to coupled multi-physics problems

Matteo Aletti , Damiano Lombardi
International Journal for Numerical Methods in Engineering, 2017
Journal articles hal-01396286v1
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An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems

Athmane Bakhta , Damiano Lombardi
2017
Preprints, Working Papers, ... hal-01584180v1