Louis Fostier
Post doctoral researcher
INRIA, LJLL
About Me
My research interests focus on the modeling, analysis, identification, and calibration of dynamical systems, motivated by biological questions.
I am currently a postdoctoral researcher in the INRIA MUSCLEES team, working with Diane Peurichard on mathematical models of adipose tissue morphogenesis that integrate mechanical and metabolic cues, and contributing to interdisciplinary research at the crossroads of mathematics, biology, and machine learning.
Interests
- Mathematical biology
- Computational biology
- Partial Differential Equations
- Computational Science
- Machine Learning
Education
PhD in Applied Mathematics for Biology
INRAE Centre Val de Loire / INRIA Saclay
Master's degree Scientific Computing and Modelling
University of Rennes 1
Bachelor's degree Mathematics
University of Rennes 1
đź“š My work
During my PhD, I developed and analyzed mathematical PDE models describing cell population dynamics, from germinal cells in fish ovaries to fat cells in adipose tissue, and explored their long term behavior. Additionnaly, I developed a Physics-Informed Neural Networks (PINNs) method to solve inverse problems for such models. More broadly, I am interested in equation discovery methods, included SINDy-like methods to identify governing equations starting from data.
Publications and Pre-Prints
(2025).
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle.
SIAM Journal on Applied Dynamical Systems.
(2025).
Rapid cell turnover to model adipocyte size distribution.
Journal of Theoretical Biology.
(2024).
Generalizing the SINDy approach with nested neural networks.
ESAIM: Proceedings and Surveys.
(2022).
A Multi-Skilled Mathematical Model of Bacterial Attachment in Initiation of Biofilms.
Microorganisms.