PDEs under pressure and applications in life science

Liste des Contributions

7. Micro- and macroscopic modelling of crowding and pushing in corridors

Marie-Therese Wolfram (University of Warwick)

12/10/2026 14:30

Experiments with pedestrians show that both the geometry of a corridor and individuals' motivation to reach their target quickly have a strong effect on the overall dynamic in a crowd. I will present micro- and macroscopic models capturing these two effects, discuss their analysis and how they can be calibrated against experimental data. The resulting simulations reproduce key qualitative...

9. Hypo(coerciv-elliptic)ity in a model of aligning self-propelled particles

Amic Frouvelle (Univ. Paris Dauphine & Vienne)

12/10/2026 15:15

We consider a toy model of self-propelled particles (velocities constrained on the sphere) with alignment interaction (each individual tends to align with its close neighbors) and angular noise (to explore different directions).

At the mesoscopic scale (in the limit of a large number of particles), it takes the form of a kinetic equation coupling free transport (at constant velocity) and a...

13. TBA 1/2 SH

Sophie Hecht (Sorbonne Université)

12/10/2026 16:30

14. TBA 2/2 SH

Sophie Hecht (Sorbonne Université)

13/10/2026 09:00

4. Symmetry breaking in bacterial colonies in a kinetic reaction–transport model

Maxime Estavoyer (Aix-Marseille Université)

13/10/2026 11:00

We study the emergence of symmetry breaking in expanding bacterial colonies in the presence of a localized prey. While colony expansion is typically radially symmetric, environmental interactions can induce anisotropic propagation patterns. We introduce a kinetic reaction–transport model for motile and proliferating bacteria, combining persistent motion, stochastic reorientation, and division...

20. Starvation-driven cell patterning: integrating lab experiments and mathematical modelling

Cinzia Soresina

13/10/2026 11:45

We present a reaction–diffusion model describing the interactions among cells, nutrients, and growth factors, aimed at capturing the emergence of starvation-driven cell pattern formation, a phenomenon recently observed in laboratory experiments under nutrient-limited growth conditions. Experiments and modelling were developed in parallel, enabling progressively more targeted experimental...

2. Aggregation solutions to nonlocal kinetic equations

Nadia Loy (Politecnico di Torino)

13/10/2026 14:30

Highly concentrated patterns have been observed in a spatially heterogeneous, nonlocal, kinetic model with BGK type operators implementing a velocity jump process for cell migration, directed by the nonlocal sensing of either an external signal or the cell population density itself. We describe, in an asymptotic regime, the precise profile of these concentrations which, at the macroscale, are...

1. Analytical and numerical advances on pressureless Euler systems with non-local alignment and chemotaxis

Marta Menci (Università Campus Bio-Medico di Roma)

13/10/2026 15:15

In this talk I will present recent analytical and numerical results on pressureless Euler systems which combine non-local interactions and chemotaxis. The system under investigation arises as the macroscopic counterpart of a class of hybrid discrete-continuum models for collective cell migration, in which cells interact mechanically through alignment and attraction-repulsion effects, and...

3. Strong solutions to the triangular SKT cross diffusion system

Laurent Desvillettes

13/10/2026 16:30

We present a work in collaboration with Hector Bouton and Helge Dietert, in which we prove that the solutions to the triangular SKT (Shigesada-Kawasaki-Teramoto) cross diffusion system (a system appearing in the dynamics of populations in competition) are strong in dimension 3 (it was proven in dimension 2 by Lou, Ni and Wu in the 90s). The proof uses a new approach to the Krylov-Safonov...

15. Microscopic and macroscopic crowd motion models of the granular type : is it possible to incorporate some sort of "politeness" in such mechanical models ? 1/2

Bertrand Maury

14/10/2026 09:00

26. The fully discrete JKO scheme for constrained gradient flows

Anastasia Hraivoronska

14/10/2026 11:00

We introduce a fully discrete version of the Jordan–Kinderlehrer–Otto (JKO) scheme for gradient flows subject to hard constraints. We discuss the construction of the scheme and establish its convergence toward the corresponding evolution equations. The fully discrete formulation naturally leads to computational methods based on discrete optimal transport, for which we use the network simplex...

29. TBA

Noureddine Igbida

14/10/2026 11:45

TBA

11. Modelling Interacting Particle Systems 1/2 MB

Maria Bruna (University of Oxford)

14/10/2026 14:30

In this mini-course, I will introduce some of the main ideas and techniques for modelling systems of many interacting particles. Starting from stochastic particle-based descriptions, I will discuss different scalings of the interactions, from mean-field regimes to strongly interacting systems, and show how they can be used to capture different effects at the macroscopic level. I will then...

16. Microscopic and macroscopic crowd motion models of the granular type : is it possible to incorporate some sort of "politeness" in such mechanical models ? 2/2

Bertrand Maury

15/10/2026 09:00

25. Singular limits in mechanical models of tissue growth

Noemi David

15/10/2026 11:00

Based on the mechanical viewpoint that living tissues exhibit a fluid-like behavior, PDE models inspired by fluid dynamics are now well established as one of the main mathematical tools for the macroscopic description of tissue growth. Depending on the type of tissue, these models link the pressure to the velocity field using either Brinkman’s law (viscoelastic models) or Darcy’s law (porous...

28. Interactive web simulations of cell mobility with contacts

Steffen Plunder

15/10/2026 11:45

During my PhD with Sara Merino-Aceituno, I fell in love with the Gauss-Seidel principle, which has been speeding up computations for over 200 years. In my case, using early terminated Gauss-Seidel iterations turned out useful for approximating contact forces between hard spheres in overdamped models. Using properties of prox-regular sets, we also proved convergence of the corresponding...

12. Modelling Interacting Particle Systems 2/2 MB

Maria Bruna (University of Oxford)

15/10/2026 14:30

In this mini-course, I will introduce some of the main ideas and techniques for modelling systems of many interacting particles. Starting from stochastic particle-based descriptions, I will discuss different scalings of the interactions, from mean-field regimes to strongly interacting systems, and show how they can be used to capture different effects at the macroscopic level. I will then...

5. Strong attraction-repulsion interactions and shape selection in flocking models

thierry goudon (inria)

15/10/2026 16:30

We study the collective dynamics of a population subject to self-consistent attraction-repulsion interactions and an external velocity field. We start form a Vlasov-like description of the population in the regime of strong interaction forces. We show that the population asymptotically concentrates within a domain $\Omega(t)=\Omega_0+X(t)$ whose shape $\Omega_0$ is determined by the...

23. Close interactions in immersed granular media

Aline Lefebre lepot

16/10/2026 09:00

This presentation focuses on the simulation of dense granular media composed of macroscopic particles suspended in a viscous fluid, such as mud. These systems exhibit extremely complex macroscopic behavior. At the heart of these behaviors lie the microscopic physical interactions between neighboring particles, in particular lubrication effects induced by the interstitial fluid, as well as...

34. TBA

Antoine Diez (RIKEN)

16/10/2026 09:45

TBA

8. Stability and weak strong uniqueness of weak solutions to two-component hydrodynamic systems

Ewelina Zatorska (Univ. Warwick)

16/10/2026 11:00

6. Phenotype-structured PDE models for chemotaxis self-organisation.

Kevin Painter (Politecnico di Torino)

16/10/2026 11:45

Chemotaxis is a powerful mechanism for driving the self-organisation of populations that range from cells to organisms. Recently there has been significant interest in the impact of phenotype structuring on populations, where in the context of chemotaxis this structuring could introduce variability in traits that range from their sensitivity to gradients, proliferation, or secretion of...

33. Reception & Poster session

32. Welcoming