Cell–cell adhesion is a key organiser of tissue structure, in both healthy and cancerous environments, and plays a crucial role in regulating cancer cell migration. In this talk, we introduce a multiscale modelling framework for the dynamics of a moving self‑adhesive cell population \cite{ZR}. The approach links a detailed microscopic description of deterministic adhesion‑driven motion with a...
Motivated by the modeling of bacteria microcolony morphogenesis across multiple scales, we explore in this talk models for a spatial population of interacting, growing and dividing particles. Starting from a microscopic stochastic model, we first write the corresponding stochastic differential equation satisfied by the empirical measure, and rigorously derive its mesoscopic (mean-field) limit....
I will present the result of a collaboration with Pierre Degond and Sara Merino-Aceituno. We study the emergence of band patterns in the Vicsek model, a minimal agent-based model of alignment dynamics with noise. Agent-based simulations on periodic domains display coexisting ordered (high-density, aligned) bands and disordered (low-density, non-aligned) regions, a phenomenon not explained by...
Collective cell invasion in many biological systems emerges from the complex interplay between individual cell behaviour and environmental heterogeneity, mediated by processes acting across multiple spatial and temporal scales. Cells continuously sense and respond to external cues, such as chemical gradients or physical constraints, while undergoing intrinsic dynamics including proliferation,...
Collective behaviour in biological systems often manifests through large-scale, observable patterns. These macroscopic phenomena, however, typically arise from interactions and dynamics of numerous particles occurring at much smaller spatial and temporal scales. Mathematical modelling provides a rigorous framework for elucidating how microscopic interactions within complex, heterogeneous...
