System Dynamics and Model Analysis
My main area of expertise and interest is in understanding system dynamics in an array of applications. I use modelling methods ranging from stochastic simulations (simulation algorithms and agent-based models), analytic and semi-analytic methods (such as Groebner bases), and deterministic numerical methods. Whilst much of my research is centred around studying and comparing the dynamics across alternate modelling frameworks, I also have a love for data fitting and parameter uncertainty.
Cellular Systems
The core of my research to date has been in applications of cellular biology with a focus on signalling networks. A majority of this has been on ultrasensitivity - a steeply sigmoidal switching response - in enzyme mediated modification cycles. In contrast to the continuous nature which is at the basis of ultrasensitivity, I have also investigated bistability where the switch occurs discontinously - much like an electronic light switch. In juxtaposition to the rapid changes of switches, I also have a deep interest in studying signalling responses in which the output always returns to some basal level following a perturbation. This behaviour is referred to as robust perfect adpation, and occurs in a tremendous range of systems - from hungry bacteria, up to calcium-producing bovine.
Ecology
I also have a growing passion for applications in ecological systems with a focus on assisting conservation projects. I have been lucky enough to work with some incredible people at the Department of Biodiversity, Conservation, and Attraction on projects such as Dirk Hartog Island's Return to 1616, and a project concerning the sustainable translocation of boodies on Bernier and Dorre Islands. With my strong background in cellular biology and robust perfect adaptation, I have a particular interest in understanding how this highly beneficial behaviour may be obtained in an ecological framework.