+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
Mathematical models of retinitis pigmentosa: The oxygen toxicity hypothesis.
J Theor Biol volume 425 page 53-71 (21 July 2017) Full text available
Reply to Baveye and Darnault: Useful models are simple and extendable.
Proc Natl Acad Sci U S A issue 14 volume 114 page E2804-E2805 (4 April 2017) Full text available
Speeding up the simulation of population spread models
Methods in Ecology and Evolution issue 4 volume 8 page 501-510 (1 April 2017)
Coarse-Graining the Fluid Flow around a Human Sperm.
Phys Rev Lett issue 12 volume 118 page 124501- (24 March 2017) Full text available
The bifurcation analysis of turing pattern formation induced by delay and diffusion in the Schnakenberg system
Discrete and Continuous Dynamical Systems - Series B issue 2 volume 22 page 647-668 (1 March 2017)
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.