Some mathematical models for cell migration

by Florence Hubert

Tuesday May 13, 2025, 2:00 PM → 3:00 PM Europe/Paris

Fokko du Cloux (Bâtiment Braconnier, La Doua)

Cell migration is a complex biological phenomenon playing an important
role in many processes such as embryogenesis, but also in the development of pathologies such as cancer. The main driver of the motility is the actin network, the dynamics of which is regulated by many proteins. Mathematical models have been developped in the last decades to better understand this complexity. One of the difficulty leads on the representation of this moving domain. Several approaches have been proposed: Lagrangian Markers Cells [Edelstein-Kechet et al. (2011)], Level-set methods [Tesson et al. (2020)] or phase fields models [Ziebert-Aronson (2011)]. We propose in this talk to illustrate these methods with two biological issues. In the first one, we will model the impact of the microtubules on the process using the level set method. In the second one, we will use phase field models to explain atypical cases of adhesive haptotaxis [Luo et al (2020)], [Seveau Phd (2022)].