The focus of my research is on the formulation, analysis, and numerical simulation of mathematical models of spatial and temporal phenomena in Mathematical Cell Biology.
The mathematical tools I use include partial differential equations (PDEs), ordinary differential equations (ODEs) and stochastic models to understand how biological systems organize to perform various functions. If you are a graduate or undergraduate student interested in working on these problems, please contact me.
My specific research interests include:
- Mathematical modelling of cell lineages and optimal division patterns for delaying cancer
- Modelling stem cell renewal and differentiation
- Cell fate determination
- Spatiotemporal behaviour of biochemical circuits
- Modelling of cell polarization