Overview
Topic status: We're looking for students to study this topic.
Incorporating realistic cell-cell interactions in a model of cell motility and proliferation is critical when developing a mathematical model of cell and tissue behavior. Most previous interacting particle models have been developed using a lattice-based random walk model. One reason for this is that the lattice structure makes implementing cell-cell interactions straightforward. The disadvantage of this approach is that the movement of real cells is not restricted to a lattice structure. In this project we will use the theory of lattice free random walks to develop new models of cell motility and cell proliferation where the individual motility and proliferation events are not confined to any underlying lattice. New methods to incorporate cell-cell interactions will be proposed, and averaging techniques will be used to derive the governing partial differential equation description. This project involves computation, symbolic manipulation and analysis.
- Study level
- Honours
- Supervisors
- QUT
- Organisational unit
Science and Engineering Faculty
- Research area
- Contact
- Please contact the supervisor.
Dr Matthew Simpson
