I work on the application and analysis of numerical/computational schemes for partial differential equations. Of major interest is the development of reliable, practical and efficient finite element schemes for modelling mathematical models arising from physical and biological phenomena. Current fields of interest include:
- Multiphysics interaction within the heart and lungs.
- Numerical solvers for cardiac bidomian equations.
- Computational multiscale lung models.
- Stochastic differential equations for ion channel dynamics.
- Numerical models for cell movement.
- Numerical analysis and finite element analysis.
My Google scholar page is here.
D. Phil. Funding available: If you are interested in postgraduate research within my field of research please contact me. Funding and scholarship opportunities available within the department can be found at this web page. Alternative funding opportunities can be found at the DTC website www.dtc.ox.ac.uk for details.
- Richard Welford (Sussex, 2006).
- Alex Tomasi (Sussex, 2008).
- Matthew McCormick jointly supervised with Prof N. Smith (Oxford, 2012).
- James Mbewu jointly supervised with Dr Rafel Bordas.
- Quentin Parsons jointly supervised with Prof A. Muench.
- Brody Foy jointly supervised with Dr Rafel Bordas.
I obtained a first class degree in Mathematics and a PhD in Numerical Analysis from Leicester University in 1992 and 1997, respectively. During 1996-1998 I worked as a postdoctoral researcher at UMIST. This was followed by a Postdoctoral position at Oxford University until 1999. In 1999 I became a University Lecturer in Mathematics at the University of Sussex. In the summer of 2007 I was appointed to my current position of University Lecturer in Computational Biology at Oxford University.
Stabilized Lowest−Order Finite Element Approximation for Linear Three−Field Poroelasticity
Lorenz Berger‚ Rafel Bordas‚ David Kay and Simon Tavener
In Siam Journal on Scientific Computing. Vol. 37(5). Pages 2222–2245. 2015.
Neural crest migration is driven by a few trailblazer cells with a unique molecular signature narrowly confined to the invasive front
Paul M Kulesa Rebecca McLennan Linus J Schumacher Jason A Morrison Jessica M Teddy Dennis A Ridenour Andrew C Box Craig L Semerad Hua Li William McDowell David Kay Philip K Maini Ruth E Baker
In Development. 2015.
A poroelastic model coupled to a fluid network with applications in lung modelling
Lorenz Berger‚ Rafel Bordas‚ Kelly Burrowes‚ Vicente Grau‚ Simon Tavener and David Kay
In International journal for numerical methods in biomedical engineering. 2015.