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. My research uses methods from a range of areas in mathematics including: dynamical systems; partial differential equations; perturbation theory; stochastic processes; and data science.
- 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) The role of astrocytic calcium and TRPV4 channels in neurovascular coupling. Journal of Computational Neuroscience 44(1): 97-114. http://dx.doi.org/10.1007/s10827-017-0671-7.
- Kenny A., Zakkaroff C., Plank M. and David T. (2018) Massively parallel simulations of neurovascular coupling with extracellular diffusion. Journal of Computational Science 24: 116-124. http://dx.doi.org/10.1016/j.jocs.2017.07.001.
- Mathias EJ., Kenny A., Plank MJ. and David T. (2018) Integrated models of neurovascular coupling and BOLD signals: Responses for varying neural activations. NeuroImage 174: 69-86. http://dx.doi.org/10.1016/j.neuroimage.2018.03.010.
- Mohd MH., Murray R., Plank MJ. and Godsoe W. (2018) Effects of different dispersal patterns on the presence-absence of multiple species. Communications in Nonlinear Science and Numerical Simulation 56: 115-130. http://dx.doi.org/10.1016/j.cnsns.2017.07.029.