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.
- 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.
- Edwards AM., Robinson JPW., Plank MJ., Baum JK. and Blanchard JL. (2017) Testing and recommending methods for fitting size spectra to data. Methods in Ecology and Evolution 8(1): 57-67. http://dx.doi.org/10.1111/2041-210X.12641.
- Johny JP., Plank MJ. and David T. (2017) Importance of Altered Levels of SERCA, IP3R, and RyR in Vascular Smooth Muscle Cell. Biophysical Journal 112(2): 265-287. http://dx.doi.org/10.1016/j.bpj.2016.11.3206.
- Kenny A., Zakkaroff C., Plank M. and David T. (2017) Massively parallel simulations of neurovascular coupling with extracellular diffusion. Journal of Computational Science Early access online http://dx.doi.org/10.1016/j.jocs.2017.07.001.
- Mathias EJ., Plank MJ. and David T. (2017) A model of neurovascular coupling and the BOLD response PART II. Computer Methods in Biomechanics and Biomedical Engineering 20(5): 519-529. http://dx.doi.org/10.1080/10255842.2016.1255733.