- MMATH, Mathematics, 2013
- University of Oxford, St. Peter's College
- Dissertation: "Investigating multiple length scales in exclusion processes"
- FHS Dissertation Prize
I am interested in investigating the mechanisms which govern embryonic and early development. In particular, I am interested in mathematical models which respect both the biology of the system, and the means by which experimental data might be gathered.
Models investigating the robustness of development in vertebrates are particularly interesting.
I am interested at investigating the extent to which continuum models in elastics and plastics are able to model real world biological solids and gels. Cell-cell interactions and
cell-matrix interactions form a very interesting interface between experimental data, computation and theory. In particular, the comparison between data
and existing models, and the ability to investigate new mechanical models numerically, provides a fascinating insight into the cellular landscape and environment.
Towards a first mathematical model of filopodia-mediated morphogenesis
Recent experiments have confirmed that the
presence of long, specialized filopodia are required for the establishment of a normal
morphogen gradient in some contexts. The scarcity of mathematical models describing specialized filopodia in morphogenesis makes
quantitative comparison between filopodia-mediated morphogenesis and other mechanisms difficult. Working with Dr. Ruth Baker
and Dr. Christian Yates
, we developed one- and two-dimensional descriptions of filopodia mediating morphogen transport. We developed a mathematical framework
to describe the random-walk of a filopodial tip and the retraction of the filopodial body. We found some biologically relevant relations
between model parameters and the time or positional arrival of a filopodial tip at some signalling centre.
Please feel free to contact me with any questions about my work.