Department of Mathematics and Statistics Professor Kerry Landman

Student projects

Mathematical biology is an exciting new area of application of mathematics. I have established several collaborations with experimentalists to work on joint projects. Students have the opportunity to work in this exciting multi-disciplinary area.

Recently we have been modelling cell migration and invasion processes in developmental biology and tissue engineering. We have made significant advances in understanding the key roles of cell migration and proliferation in the movement of a cell invasion wave. We are developing multi-scale models, using both continuum population-level and discrete individual cell-level techniques, to simulate and understand several experimental systems. We are also devising new experiments to test our models. These systems include the development of the nervous system in the gut, a wound healing assay as a model for tissue engineering and interneuron migration in the developing brain.

Student projects will build on knowledge learned in undergraduate subjects. Deterministic models (involving ordinary and partial differential equations) and discrete models (using individual based model) with stochasticity will be explored. Modelling, simulation and analysis will form the basis of the projects. Students will have the opportunity to work with postdoctoral research fellows and other students.

Recent Honours students have obtained a publication in an international refereed journal, resulting from their honours projects too!

My recent publications in mathematical biology are listed here

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