+44 1865 283876
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation.
Bull Math Biol issue 4 volume 74 page 935-957 (April 2012) Full text available
Nonlinear instability in flagellar dynamics: a novel modulation mechanism in sperm migration?
J R Soc Interface issue 53 volume 7 page 1689-1697 (6 December 2010) Full text available
Modelling bacterial behaviour close to a no-slip plane boundary: The influence of bacterial geometry
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences issue 2118 volume 466 page 1725-1748 (8 June 2010)
Human sperm accumulation near surfaces: A simulation study
Journal of Fluid Mechanics volume 621 page 289-320 (26 May 2009)
A mass action model of a Fibroblast Growth Factor signaling pathway and its simplification.
Bull Math Biol issue 8 volume 70 page 2229-2263 (November 2008) Full text available
Osmotic and electroosmotic fluid transport across the retinal pigment epithelium: A mathematical model.
Journal of theoretical biology volume 456 page 233-248 (November 2018)
An elastohydrodynamical simulation study of filament and spermatozoan swimming driven by internal couples
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) issue 4 volume 83 page 655-679 (25 July 2018)
Theoretical Insights into the Retinal Dynamics of Vascular Endothelial Growth Factor in Patients Treated with Ranibizumab, Based on an Ocular Pharmacokinetic/Pharmacodynamic Model.
Molecular pharmaceutics issue 7 volume 15 page 2770-2784 (July 2018)
Changes in the retreatment radiation tolerance of the spinal cord with time after the initial treatment.
International journal of radiation biology issue 6 volume 94 page 515-531 (June 2018)
Human sperm swimming in a high viscosity mucus analogue.
Journal of theoretical biology volume 446 page 1-10 (June 2018)
My research objectives are typically to extract the macroscale consequences of mechanisms operating at much smaller scales, usually the microbiological level, for instance how cells interact and signal, together with the associated biophysics of reaction, diffusion, deformation and flow. This requires detailed mathematical modelling, combined with mathematical analyses, asymptotics, computation and model interpretation within numerous application areas of the life and biomedical sciences. The application areas include cell motility, especially flagellated cell swimming, bacterial dynamics, ecological invasions and mechanisms of biological self-organisation together with the modelling of select processes in physiological transport and solid tumour development.