Louis Fostier
PhD student
INRAE, INRIA
About Me
My research interests focus on the modeling, analysis, identification, and calibration of dynamical systems, mainly motivated by biological questions.
I am currently looking for a postdoctoral position where I can continue exploring the interface between mathematics, biology, and machine learning, and contribute to interdisciplinary research with real-world impact.
Interests
- Mathematical 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
📚 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. I am also interested in equation discovery methods inspired by SINDy to identify governing equations directly 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.
(2024).
Generalizing the SINDy approach with nested neural networks.
arXiv.
(2022).
A Multi-Skilled Mathematical Model of Bacterial Attachment in Initiation of Biofilms.
Microorganisms.