Research

 

My main interests are in the areas of mathematical biology and continuum mechanics (particularly fluid mechanics). I develop mathematical models to help understand how biological processes work. In particular, I am interested in how the arrangement of cells in tissues develops, which has applications in tissue engineering.

Current projects include:


  1. -Mathematical models of tissue development

with Saber Dini, Nigel Bean and Ben Binder (University of Adelaide)


  1. -Free surface flows in helical channels

with Yvonne Stokes and David Arnold (University of Adelaide)


  1. -Modelling collagen gel mechanics

with James Reoch, Yvonne Stokes (University of Adelaide) and Peter Kim (University of Sydney)


- The mechanics of transversely isotropic fluids

with Rosemary Dyson, David Smith, Craig Holloway, Gemma Cupples and Matt Hopwood (University of Birmingham, UK)


  1. -Modelling the growth and morphogenesis of colonic organoids

with Ben Binder, Yvonne Stokes, Hu Zhang and Daniel Worthley (University of Adelaide)



Previous projects:


- Agent-based modelling of cell aggregation in liver tissue engineering

with Ben Binder, Tom Brown and Dylan Agnew (University of Adelaide)


- Modelling cells' interaction with the extracellular matrix in tissue engineering

with Rosemary Dyson (University of Birmingham, UK), Helen Byrne and Jonathan Whiteley (University of Oxford) and Ana Soto and Carlos Sonnenschein (Tufts University, USA)


  1. -Multiphase modelling of cell aggregation

with Sarah Waters, Jim Oliver, Jonathan Whiteley and Helen Byrne (University of Oxford)


  1. -Non-local models for the formation of hepatocyte-stellate cell aggregates

with Sarah Waters, Jonathan Whiteley and Helen Byrne (University of Oxford), and Leah Edelstein-Keshet (University of British Columbia)


- Modelling oxygen transport in surgically reconstructed tissues

with Tasos Matzavinos, Chiu-Yen Kao, Alok Sutradhar, Michael Miller and Avner Friedman


- Modelling blood flow through arterio-venous malformations in the brain

with Frank Smith and Nick Ovenden, (University College London)



Potential PhD students

If you are interested in undertaking a PhD, please email me to discuss potential projects.