Institut de Mathématiques de Toulouse

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GdT Mathématiques pour la biologie

par Fanny Delebecque, Sabine Mercier, Sepideh Mirrahimi - publié le , mis à jour le

Organisateurs Patrick CATTIAUX et Sepideh MIRRAHIMI
Horaire habituel Jeudi 15h30
Lieu habituel Salle de conférence MIP, (bâtiment 1R3, 1er étage)

  • Jeudi 5 octobre 15:30-16:30 - Marina Amado Ferreira - Imperial college London

    The dynamics of a packed cell tissue

    Résumé : In a packed tissue neighboring cells exert high pressure on each other at all times. Such mechanical interactions are believed to play an important role on the dynamics of the tissue. However, their contribution to the tissue shape is not yet fully understood. In this talk I will first present a framework to model this type of systems based on a geometric representation of individual cells. The cells interact with each other aiming at minimizing a local potential energy, subjected to non-overlapping constraints. Mathematically, the problem is formulated as a non-convex minimization problem, which will be tackled with the recently proposed damped Arrow-Hurwicz algorithm. I then apply this framework to the study of a pseudo-stratified epithelial tissue. Some preliminary numerical results will be presented to show how the tissue may be deformed when simple defects on individual cells are introduced.