Diffusion theory and modelling of non-linear phenomena in physics and biophysics.

Modelling of biophysical systems e.g. ion channels.

Application of modern techniques for analysis of conditional opening times to distinguish between membrane and mitochondrial channels.

Finding quantitative measures of structure and morphology from electron microscopy or visible light images

Characterisation of transport properties of membranes used in pervaporation. 

Investigating the structural properties of membranes from analysis of microscopic images and simulation modelling.