Mathematical Modelling of Collective Cell Migration in Wound Healing

This project models collective cell migration and differentiation as part of a wound healing process. The hybrid mathematical model used in this project consists of an agent-based model for the cells combined with a system of coupled partial differential equations for two forms of the growth factor molecule TGF-beta. The model is implemented in...

Isogeometric Analysis of a Reaction-Diffusion Model for Human Brain Development

In my thesis I present a numerical scheme to tackle the Gray-Scott Reaction-Diffusion Model for Human Brain Development. The numerical scheme is based on the principles of Isogeometric Analysis and a number of simulations are given in the report.