Qualifications & Memberships
My research is in mathematical modelling, particularly in ecology and physiology. The motivation for this research comes from real-world problems and the emphasis is on qualitative mathematical models that capture the essential behaviour of a particular phenomenon. I have research interests in a variety of applications: ecology and exploitation of fish communities; collective cell behaviour; complex ecological networks; invasive species; epidemiology; animal movement; neurovascular coupling. Some of the tools I use in my research include stochastic processes, integro and partial differential equations, dynamical systems, spatial moment dynamics, statistical modelling, and parameter inference.
- Kenny A., Plank MJ. and David T. (2019) Minimal model of calcium dynamics in two heterogeneous coupled cells. Neurocomputing 323: 128-138. http://dx.doi.org/10.1016/j.neucom.2018.09.074.
- Kenny A., Plank MJ. and David T. (2019) The effects of cerebral curvature on cortical spreading depression.. J Theor Biol 472: 11-26. http://dx.doi.org/10.1016/j.jtbi.2019.04.006.
- Lustig A., James A., Anderson D. and Plank M. (2019) Pest control at a regional scale: identifying key criteria using a spatially explicit, agent‐based model. Journal of Applied Ecology http://dx.doi.org/10.1111/1365-2664.13387.
- Browning AP., McCue SW., Binny RN., Plank MJ., Shah ET. and Simpson MJ. (2018) Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data.. Journal of Theoretical Biology 437: 251-260. http://dx.doi.org/10.1016/j.jtbi.2017.10.032.
- Kenny A., Plank MJ. and David T. (2018) Macro scale modelling of cortical spreading depression and the role of astrocytic gap junctions.. Journal of Theoretical Biology 458: 78-91. http://dx.doi.org/10.1016/j.jtbi.2018.09.006.