Damiano Lombardi

Damiano Lombardi

IMGP0552

Contact me: Damiano Lombardi, INRIA Paris, 2 rue Simone Iff, 75012 Paris

Email: damiano.lombardi@inria.fr

Current PositionInria Research Scientist, (Chargé de Recherche Inria, CR).

Scientific InterestsMy research focuses on two main axes: one is methodological, studying numerical methods for model reduction and inverse problems, the other oriented on realistic applications, in particular cardiac electrophysiology, safety pharmacology, flow reconstruction from medical imaging and micro-circulation in arterioles.

Current projects:

  • Model Reduction:
  1. with J.-F. Gerbeau, O. Mula, Felipe Galarce, we are currently working on optimal reconstruction of 3D flows from ultrasound Doppler imaging.
  2. with V. Ehrlacher, O. Mula, L. Grigori and Maria Fuente we are currently working on tensor methods for high-dimensional problems (ANR ADAPT).
  3. with V.Ehrlacher, O.Mula and F.X. Vialard we are working on a model reduction framework in metric spaces.
  • Uncertainty Quantification:
  1. with J.-F. Gerbeau, E. Tixier, F. Raphel we are investigating how simulations can be integrated to experimental data to classify molecules action on ionic channels.
  2. with F.Raphel, M. Fernandez, C. Grandmont, M. Boulakia, S. Costa, H. Liu we are working on applications to safety pharmacology. (Inspire)
  • Identifiability and Inverse Problems:
  1. with S. Pant (Swansea University) we are investigating how information theoretic quantities can be used to assess identifiability and to setup better parameter estimation methods.
  2. with M.Fernandez and M. Agbalessi we are working on fluid-structure interaction calibration using PC-MRI data.

Past projects:

  • Model Reduction:
  1. with J.-F. Gerbeau: method based on Approximated Lax Pairs, a database-free, time evolving basis approach to model reduction.
  2. with J.-F. Gerbeau and E. Schenone: application of ALP to electrophysiology.
  3. with A. Iollo: setting up of an approximated principal component analysis for the Wasserstein distance, leading to the definition of advection modes. Application of existing techniques, such as POD to the model reduction of tumor growth models.
  4. External collaboration with Inria Matherials (https://www.rocq.inria.fr/matherials/ ) : working with  E. Cances, V. Ehrlacher, D. Gontier, A. Levitt on approaches to compute electronic bands.
  • Uncertainty Quantification:
  1. with J.-F. Gerbeau and E. Tixier: we’ve been developing numerical methods for the Backward Uncertainty Quantification problem. The application that motivated our work is the determination of the variability of the physiological properties of human cardiac cells.
  2. with J.-F. Gerbeau and E. Tixier we’ve studied how to define composite biomarkers in view of parameter estimation and statistical learning tasks in biomedical applications.
  • Inverse Problems:
  1. Arterial stiffness estimation on complex vascular networks by using sequential techniques based on Kalman filtering
  2. with. A. Iollo, T. Colin, O. Saut: parameter estimation in tumor growth modeling using data coming from medical images. Collaboration with Institut Bergonié (J. Palussière). Application of a variational approach to deterministic inverse problems. Regularization by means of POD (Proper Orthogonal Decomposition). Setting up of simplified continuous models to deal with realistic applications (tumors in lungs).
  • Optimal Transport:
  1. with A.Iollo: setting up a lagrangian 3D method to approximate the solution of Monge-Kantorovich Problem. The problem is discretized by means of a particle method, exploiting the exact solution of the Hamilton-Jacobi equation associated.
  2. with E.Maitre (LJK Grenoble): definition of eulerian models and methods to deal with unbalanced optimal transportation. Applications in interpolation of real data (medical images)
  • Retinal Micro-circulation:
  1. with M. Aletti, J.-F.Gerbeau: setting up of a 3D model accounting for fluid-structure interaction and active control (myogenic response)
  • Arterioles simulation:
  1. with J.-F. Gerbeau we are investigating the fluid-structure interaction in arterioles, starting by the work done with Matteo Aletti on retinal haemodynamics.
  • Other:
  1. Hydrodynamic stability: transient growth and sub-critical stability of shear flows
  2. Complex flows for the simulation of bio-physical systems

Publications: click here 

External Collaborations:

  • Inria Matherials  (https://team.inria.fr/matherials/)
  • E. Maitre (LJK Grenoble, http://www-ljk.imag.fr/membres/Emmanuel.Maitre/)
  • Inria ALPINE (https://team.inria.fr/alpines/)
  • Sanjay Pant (Swansea University, http://www.swansea.ac.uk/staff/engineering/s.pant/)

Phd students:

  • Haibo Liu, started on 09/2020, working on data assimilation for safety pharmacology applications.
  • Sara Costa, started on 09/2020, working on the mathematical modelling of the drugs impact on the haemodynamics.
  • Maria Fuente, started on 03/2020, working on tensor methods for high-dimensional problems.
  • Mocia Agbalessi, started on 04/2019, working on fluid-structure interaction and 4D-MRI.
  • Fabien Raphel, started on 03/2019, working on inverse problems for cardiac electro-physiology and safety pharmacology.
  • Felipe Galarce: started on 12-2017. We are currently working on 3D reconstruction of flows from Doppler imaging.
  • Matteo Aletti:  defended in 05-2017. With Matteo, we  worked on retinal micro-circulation modeling, fluid structure interactions and model reduction.
  • Eliott Tixier: defended in 12-2017. With Eliott we worked in Uncertainty Quantification applied to the electro-physiology of the heart.

Teaching:

  • TD, linear algebra, physics and chemistry, U-PSUD, 03/2014
  • Lectures and TP, Numerical Methods, Robotics Engineering, M1, Paris Polytech, UPMC, 10/2014
  • Lectures and TP, Numerical Methods, Robotics Engineering, L3, Paris Polytech, UPMC, 10/2015
  • Lectures and TP, Numerical Methods, Robotics Engineering, L3, Paris Polytech, UPMC, 10/2016
  • Lectures and TP, Numerical Methods, Robotics Engineering, L3, Paris Polytech, UPMC, 10/2017
  • Lectures, Analysis and Scientific Computing, L3, ENPC, 10/2017
  • Lectures, Analysis and Scientific Computing, L3, ENPC, 10/2018

Short CV:

  • Born: 22-04-1984, Brescia, Italia.
  • 2006: B.Sc. Aerospace Engineering, Università degli Studi di Pisa. “Numerical stabilization of Burgers turbulence“, mark: 110/110, cum laude.
  • 2007: B.Sc. Industrial Engineering, Scuola Superiore Sant’Anna di Studi Universitari e di Perfezionamento. “Modeling a new class of piezo-electric micro-actuators“, mark: 100/100, cum laude.
  • 2008: M.Sc. Aerospace Engineering, Università degli studi di Pisa, “Numerical study of subcritical stability in shear flows“, mark: 110/110, cum laude.
  • 2009: M.Sc. Industrial Engineering, Scuola Superiore Sant’Anna di Studi Universitari e di Perfezionamento. “Model Reduction to describe cellular population dynamics“, mark: 100/100, cum laude.
  • 2011: Ph.D. under the supervision of A.Iollo and T.Colin, Université Bordeaux 1, IMB. “Problèmes inverses pour les modèles de croissance tumorale“. Defended in Bordeaux, 09-09-2011. mention: très honorable.
  • 2011-2013: Post-Doc, Inria Paris Rocquencourt, Reo team. Work on inverse problems for 1D hemodynamics and model reduction by approximated Lax pairs
  • 2013-present: Research Scientist, Chargé de Recherche, Inria.

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