Matthew Simpson is a Professor of Mathematics at Queensland University of Technology.  His primary area of expertise is the use of computational techniques for solving differential equations and studying interacting random walk models. Using computation, together with a range of techniques from applied mathematics, he studies several physical and biological processes. Previous research has involved studying flow and transport processes in porous media, salt water intrusion, the design and analysis of efficient methods for solving reaction diffusion equations and the implementation of high performance shock capturing schemes to study chemotactic travelling waves.

More recent research interests include the study of collective cell migration, adhesive cell migration, moment dynamics models of cell population behaviour and lattice free random walk models. Studying problems from a wide range of fields has given me the opportunity to interact with several collaborators including applied mathematicians, statisticians, experimental cell biologists and civil engineers.