Job offer

The PhD project will focus on the development and analysis of multi-tissue mathematical models of embryogenesis, based in particular on systems of partial differential equations arising from fluid mechanics.

The main objectives will be:

• Develop and analyze mathematical models describing the dynamics and interactions between multiple tissues during embryonic development
• Investigate analytical questions associated with these models, including their qualitative behavior and the influence of model parameters
• Implement numerical methods adapted to the systems under consideration
• Develop methods to connect the models with experimental data and estimate relevant model parameters
• Compare theoretical and numerical results with imaging data, using image-processing and machine-learning tools when appropriate, The PhD is part of the interdisciplinary PREMMOVE project (2025-2031), funded by the PEPR Maths-Vives program. It will be co-supervised by Michèle Romanos (CR CNRS) and Simon Masnou (Professor, Université Claude Bernard Lyon 1).

Keywords: morphogenesis, mathematical modeling, partial differential equations (PDEs), PDE analysis, numerical simulation, artificial intelligence, image analysis.

Master’s degree in mathematics or applied mathematics, with a strong background in analysis, partial differential equations, and numerical methods

• Good skills in scientific computing and programming, particularly in Python, Julia, or Matlab
• Strong interest in mathematical modeling and interdisciplinary research, particularly at the interface with biology
• Previous experience in mathematical modeling, as well as knowledge of continuum mechanics or machine learning, would be appreciated