For the first several centuries of its existence, an education at the University of Oxford entailed a basic grounding in a range of different subjects, rather than the specialised study of a single discipline. The goal was to turn out well-rounded individuals rather than narrow experts. Nevertheless, the university often tried, wherever possible, to provide advanced instruction in specific areas for those students who were interested.
15:45
OXPDE-WCMB seminar: From individual-based models to continuum descriptions: Modelling and analysis of interactions between different populations.
Abstract
First we will show that the continuum counterpart of the discrete individual-based mechanical model that describes the dynamics of two contiguous cell populations is given by a free-boundary problem for the cell densities. Then, in addition to interactions, we will consider the microscopic movement of cells and derive a fractional cross-diffusion system as the many-particle limit of a multi-species system of moderately interacting particles.