Seminar series
Date
Mon, 20 Nov 2023
15:45
15:45
Location
L5
Speaker
Mariya Ptashnyk
Organisation
Heriot-Watt University, Edinburgh
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.