- Mathematics in industry
- Tissue engineering
- Continuum Modelling
- Mathematical Biology
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I am an applied mathematician committed to cross-disciplinary research. I have applied my mathematical modelling expertise to industrial, environmental and biological problems. I like the challenge of working with people from other disciplines.
In the area of mathematical biology, my interest is in the mechanistic understanding of the various phenomena in biology - this extends from a cellular level, or groups of cells, such as multi-cell spheroids, towards a tissue level. One of the great scientific challenges is to understand the mechanisms of cell migration and cell-cell interactions. Mathematical modelling can provide testable hypotheses for experiments and resolve counter-intuitive results.
One of my current projects is in collaboration with embryologists. It focuses on mathematically modelling the development of the nervous system in the gut, and involves cell migration on an underlying growing tissue. Another project is in the field of tissue engineering, modelling vascularisation and cell migration within an engineered scaffold.
I am member of an ARC Special Research Centre with Chemical Engineering and Chemistry - Particulate Fluids Processing Centre (PFPC) . We have developed models for consolidation and filtration of suspensions to improve mineral processing.
I have worked on all sorts of things e.g. changes in red blood cell shapes, tumour growth, transport of radon gas into houses, drying of porous materials like bricks, windscreen wiper design, and the cooking of cereal grains for breakfast cereal manufacture.
For several years, I was the Director of the Mathematics-in-Industry Study Group (MISG). Much of my time was spent marketing and communicating the power and versatility of mathematics to business and industry and the wider community. Each year, eight industrial projects were presented at a problem-solving workshop, with lively brainstorming sessions between 150 mathematicians and students and industry representatives.
Past Postgraduate Supervision
||"Mathematical modelling of layering in nature"
||"Mathematical modelling of cell populations in experimental systems: migration, proliferation and differentiation"
||"Mathematical modelling of cell migration and biological systems driven by cell proliferation"
||"Mathematical approaches to the problem of pattern formation in dermatology: unifying hypothesis"
||"Numerical models of the Wnt cell-signaling pathway"
||"Modelling cell movement in multicellular systems"
||"Growing network models with an application to neurogenesis"
||"Chemical signals in interneuron migration: modelling repulsion and inhibition"
||"Reaction-diffusion models for dispersing and settling populations in biology"
Past Honours & MSc Students
||"Multiscale modelling of intestinal crypt fission"
||"Random walks in random environments with local dynamic interactions"
||"Modelling interacting cell populations"
||"Cell motility: a probabilistic modelling framework for single cell movement with explicit extracellular matrix modelling"
||"Cell Proliferation in a Scaffold"
||"Blind and myopic interacting random walkers"
||"Chemotaxis: from cells to swarms"
||"T Cell Development in the Thymus "
||"Plant Spread from a Single Source"
||"Snips and trips"
Recent Grant History
|2014 - 2016
||Building macroscale models from microscale probabilistic models (080075)
|2011 - 2013
||From single cell to collective cell migration in multicellular systems: mathematical and computational modelling of real biological systems