+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
Human sperm swimming in a high viscosity mucus analogue.
Journal of theoretical biology (17 February 2018)
Boundary element methods for particles and microswimmers in a linear viscoelastic fluid
Journal of Fluid Mechanics volume 831 page 228-251 (25 November 2017)
Ocular Pharmacokinetics of Therapeutic Antibodies Given by Intravitreal Injection: Estimation of Retinal Permeabilities Using a 3-Compartment Semi-Mechanistic Model.
Molecular pharmaceutics issue 8 volume 14 page 2690-2696 (August 2017)
Random blebbing motion: A simple model linking cell structural properties to migration characteristics.
Physical review. E issue 1-1 volume 96 page 012409- (18 July 2017)
Mathematical models of retinitis pigmentosa: The oxygen toxicity hypothesis.
Journal of theoretical biology volume 425 page 53-71 (July 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.