Overview
Topic status: We're looking for students to study this topic.
Cell motility is a multiscale phenomenon and mathematical models of cell motility should represent both population-level and individual-level properties of the system. To achieve this, a class of lattice-based discrete random walk models called exclusion processes are often used to represent cell motility. Exclusion processes allow us to propose realistic discrete motility mechanisms which can be averaged to a partial differential equation model. Previous studies of cell motility using exclusion processes have focused on the simple case where cells are uniform in size and shape. In this project we will relax this assumption and allow the cell size and cell shape to vary. We will study the corresponding partial differential equation describing a population of variably sized and shaped cells. 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
