David Kay
Professor David Kay
Room 364, Wolfson Building, Parks Road, Oxford OX1 3QD
Interests
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.
Past Students:
- Muhammad Sagheer jointly supervised with Dr Q. Tang (Sussex, 2005).
- Richard Welford (Sussex, 2006).
- Alex Tomasi (Sussex, 2008).
- David Nordsletten jointly supervised with Prof N. Smith (Oxford, 2009).
- Miguel Bernabeu jointly supervised with Dr J. Pitt-Francis and Prof B. Rodriguez (Oxford, 2011).
- Matthew McCormick jointly supervised with Prof N. Smith (Oxford, 2012).
- Aaron Smith jointly supervised with Prof R. E. Baker and Prof P. K. Maini (Oxford, 2012).
- Timothy Squires jointly supervised with Prof J. Chapman and Prof A. Noble (Oxford, 2012).
- Ciara Dangerfield jointly supervised with Prof B. Rodriguez and Prof K. Burrage (Oxford, 2012).
- Chris Arthurs jointly supervised with Dr M. Bishop (Oxford, 2013).
- Jean-Charles Seguis jointly supervised with Prof R. Erban and Prof K. Burrage (Oxford, 2013).
- Liya Asner jointly supervised with Prof D. Gavaghan and Prof S. Tavener (Oxford 2014).
- Lorenz Berger jointly supervised with Dr Rafel Bordas, Dr K. Burrowes and Prof V. Grau (Oxford, 2015).
- Linus Schumacher jointly supervised with Prof R. E. Baker and Prof P. K. Maini (Oxford, 2015).
Current Students:
- James Mbewu jointly supervised with Dr Rafel Bordas.
- Quentin Parsons jointly supervised with Prof A. Muench.
- Brody Foy jointly supervised with Dr Rafel Bordas.
Biography
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.
Away from academic live I enjoy playing and coaching football. I am currently a coach at Mansfield Road Junior Football Club.
Selected Publications
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A computational comparison of the multiple−breath washout and forced oscillation technique as markers of bronchoconstriction
Brody H Foy and David Kay
In Respiratory Physiology & Neurobiology. Vol. 240. Pages 61–69. 2017.
Details about A computational comparison of the multiple−breath washout and forced oscillation technique as markers of bronchoconstriction | BibTeX data for A computational comparison of the multiple−breath washout and forced oscillation technique as markers of bronchoconstriction
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A stabilized finite element method for finite−strain three−field poroelasticity
Lorenz Berger‚ Rafel Bordas‚ David Kay and Simon Tavener
In Computational Mechanics. Pages 1–18. 2017.
Details about A stabilized finite element method for finite−strain three−field poroelasticity | BibTeX data for A stabilized finite element method for finite−strain three−field poroelasticity
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On reflecting boundary conditions for space−fractional equations on a finite interval: Proof of the matrix transfer technique
N Cusimano‚ K Burrage‚ I Turner and D Kay
In Applied Mathematical Modelling. Vol. 42. Pages 554–565. 2017.
Details about On reflecting boundary conditions for space−fractional equations on a finite interval: Proof of the matrix transfer technique | BibTeX data for On reflecting boundary conditions for space−fractional equations on a finite interval: Proof of the matrix transfer technique
