Biological tissue growth occurs mostly at or near the tissue's surface, where spatial interactions between the tissue and its surroundings can have strong influences onto the local rate of growth.
This project will investigate how collisions between molecules or cells with an evolving tissue are dependent on the tissue shape and how these collisions may control tissue growth rate and tissue composition.
This project will derive general equations for the co-evolution of impact density and interface movement. You will investigate conditions leading to quasi-steady states (travelling waves) and simulate these equations numerically.
The model will be applied to relevant situations such as bone remodelling, wound closure, scratch assays or bioscaffold tissue growth to understand the specific influence of interface geometry.
Results from the mathematical models will be compared with experimental data available through collaboration or from literature as well as previous mathematical models of bioscaffold tissue growth.
Skills and experience
We expect you to have some proficiency in differential equations and computer modelling.
You may be able to apply for a research scholarship in our annual scholarship round.
Contact the supervisor for more information.