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David Kay

Personal photo - David Kay
Dr David Kay
University Lecturer
+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.

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 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 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 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)

Current Students:

Lorenz Berger jointly supervised with Dr Rafel Bordas, Dr K. Burrowes and Prof V. Grau

Linus Schumacher jointly supervised with Dr R. E. Baker and Prof P. K. Maini 

James Mbewu jointly supervised with Dr Rafel Bordas 

Quentin Parsons jointly supervised with Prof A. Munch


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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Manage publications

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.

Dynamic flow characteristics in normal and asthmatic lungs

Minsuok Kim‚ Rafel Bordas‚ Wim Vos‚ Ruth A Hartley‚ Chris E Brightling‚ David Kay‚ Vicente Grau and Kelly S Burrowes

In International journal for numerical methods in biomedical engineering. 2015.

Neural crest migration is driven by a few trailblazer cells with a unique molecular signature narrowly confined to the invasive front

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 and others

In Development. Vol. 142. No. 11. Pages 2014–2025. 2015.





Completed Projects

Current Students

Past Student

Personal photo - Liya Asner
Liya Asner