Phenotype-Structured PDE Models for Chemotaxis Self-Organisation

Explore phenotype-structured partial differential equation models for chemotaxis self-organisation in this 31-minute lecture from the Erwin Schrödinger International Institute for Mathematics and Physics. Discover how chemotaxis serves as a powerful mechanism driving self-organisation across populations ranging from cells to organisms, with particular focus on the impact of phenotype structuring that introduces variability in traits such as gradient sensitivity, proliferation, and autoattractant secretion. Learn about a nonlocal PDE framework that incorporates continuous phenotype structuring for chemotactic populations and examine how this structuring influences two classic phenomena of chemotactic systems: wave propagation and aggregation behavior. Gain insights from collaborative research with Tommaso Lorenzi, Fiona Macfarlane, and Chiara Villa, presented as part of the Workshop on "Modelling Diffusive Systems: Theory & Biological Applications (MoDiS)" held at ESI.