Mathematical Models in Biology and Related Applications of Partial Differential Equations

The school aims at presenting some of the current approaches in PDE modelling and mathematical analysis of biological phenomena or related domains. It aims at allowing the researchers and the students of Master’s degree level and talented undergraduate students to acquire a basic training in that field and to have an overview of what is the current research status of these types of problems.

This school will cover a wide class of models and applications including dynamics of intracellular and extracellular phenomena, neuronal networks, pattern formation, chemotaxis, and their implications in developmental biology, epidemiology and neurosciences. The main mathematical methods will concern the study of evolutionary partial differential equations, such as their large time behaviour, their links with microscopic or stochastic models, as well as numerical methods to approximate their solutions.