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Photograph of Bartholomew Price writing at a desk

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. 

Mon, 20 Nov 2023
15:45
L5

OXPDE-WCMB seminar: From individual-based models to continuum descriptions: Modelling and analysis of interactions between different populations.

Mariya Ptashnyk
(Heriot-Watt University, Edinburgh)
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. 

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