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David Kay

Personal photo - David Kay
Dr David Kay
University Lecturer
Governing Body Fellow, Green Templeton College
+44 (0)1865 610814
+44 (0)1865 273839 (fax)

Room 364, Wolfson Building, Parks Road, Oxford OX1 3QD


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.

D. Phil. Funding available:  If you are interested in postgraduate research within my field of research, 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 for details.

Past D. Phil. 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 Dr. B. Rodriguez (Oxford, 2011)

- Matthew McCormick jointly supervised with Prof N. Smith (Oxford, 2012)

- Aaron Smith jointly supervised with Dr. 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 Dr. B. Rodriguez and Prof K. Burrage (Oxford, 2012)

- Chris Arthurs jointly supervised with Dr M. Bishop (Oxford, 2013)

- Jean-Charles Seguis jointly supervised with Dr R. Erban and Prof K. Burrage (Oxford, 2013)

- Liya Asner jointly supervised with Prof D. Gavaghan and Prof S. Tavener (Oxford 2014)


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.

Selected Publications

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Fourier spectral methods for fractional−in−space reaction−diffusion equations

A. Bueno−Orovio‚ D. Kay and K. Burrage

In BIT Numerical Methods. To Appear.

Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization

A. Bueno−Orovio‚ D. Kay‚ V. Grau‚ B. Rodriguez and K. Burrage

In Journal of the Royal Society Interface. Vol. 11. Pages 20140352. 2014.

Fourier spectral methods for fractional−in−space reaction−diffusion equations

A. Bueno−Orovio‚ D. Kay and K. Burrage

In BIT Numerical Mathematics. 2014.





Completed Projects

Current Students

Past Student

Personal photo - Liya Asner
Liya Asner