Ph.D. student in Applied Mathematics, LJLL – UPMC (Paris)
Co-supervised by Jean-Frédéric Gerbeau, Damiano Lombardi and Olga Mula
- Project: Interaction between ultrasound images and mathematical modeling.
- CV
I am currently working as a Ph.D. student under the light of the Centre de Recherche INRIA de Paris & Laboratoire Jacques-Louis Lions, where I focus on the enhancing of Doppler velocity measures via Navier-Stokes equations. The study bifurcates in many sub-paths, namely: algorithms for patient-specific anatomical flexible velocity estimation, computation of quantities of interest for the clinical diagnosis, and model reduction techniques.
Contact
- Address:
Felipe Galarce Marin
Bureau A316
Centre de Recherche Inria de Paris
2 rue Simone Iff
CS 42112
75589 Paris Cedex 12
FRANCE - Phone: +33 768 78 25 97
- E-mail: felipe.galarce.m@gmail.com
Publications
- Felipe Galarce, Jean-Frèdèric Gerbeau, Damiano Lombardi, and Olga Mula. State estimation with nonlinear reduced models. Application to the reconstruction of blood flows with Doppler ultrasound images. (In review). The article in Arxiv.
- Cristóbal Bertoglio, Rodolfo Núñez, Felipe Galarce, David Nordsletten, and Axel Osses. Relative
pressure estimation from velocity measurements in blood flows: state-of-the-art and new
approaches. Numerical Methods in Biomedical Engineering. 2018. The article in IJNBE. The article in HAL.
Conferences
- CSMA 2019 – 14ème colloque national en calcul des structures. Giens, France. Reconstruction of flows from Doppler measurements. Summary
- 6th European conference on computational mechanics and 7th European conference on computational fluid dynamics, United Kingdom. Optimal reconstruction of flows from Doppler measurements. Abstract
- Poster presentation of Ph.D. thesis partial results at Model reduction and parametrized systems IV MoRePas, Nantes. Poster
Scientific interest
- Mathematical Modeling.
- Numerical methods.
- Scientific computing.
- Hemodynamics.
- Data Assimilation.
- Fluid mechanics.
- 3D flow reconstruction from Doppler images.
Education
- Master Degree in Applied Mathematics, mention “Analyse, Modélisation et Simulation”. Université Paris-Saclay, 2016-2017.
- Civil Engineer Diploma. Pontificia Universidad Católica de Valparaiso, Chile, 2014-2016.
- Litentiate in Engineering Sciences. Pontificia Universidad Católica de Valparaiso, Chile, 2011-2014.