Ms Rebecca Shipley
Qualifications
MMath, DPhil (pending)
Role or Position
Junior Research Fellow
Email address
Academic Background
I came up to Oxford in 2001 as an Undergraduate studying Mathematics at St. Hugh's College. During my MMath, I completed two research Summer placements. The first was with Prof. Michael Giles at Oxford University Computing Laboratories and concerned numerical analysisof an implicit discretisation of the 1D convection/diffusion equation with Dirac initial data. The second was with Dr Tiina Roose at the Oxford Centre for Industrial and Applied Mathematics (OCIAM) and was funded by the Royal Society. It involved a collaboration with Great Ormond Street Hospital, London to develop mathematical models of lung mucus clearance during manual physiotherapy. In October 2005 I began a DPhil at OCIAM with the title 'Multiscale Modelling of Fluid, Drug and Oxygen Transport in Vascular Tumours' and am soon to submit my thesis. In October 2008 I began a Junior Research Fellowship at Christ Church.
Undergraduate Teaching
Applied Mathematics (fluid dynamics, viscous flow, perturbation methods etc)
Research Interests
Mathematical modelling of fluid dynamical and medical problems. In particular the development and application of homogenization techniques to model tissues, specifically for tumour growth and treatment, and for tissue engineered systems.
Publications include
(maiden name is R Carter)
RJ Shipley, MB Bonsall, DJ Allwright & CF Graham. Theoretical Exploration
of Blastocyst Morphgenesis, accepted for publication in International
Journal of Developmental Biology (May 2008)
SJ Chapman, RJ Shipley & R Jawad. Multiscale Modelling of Fluid Transport
in Tumours, Bulletin of Mathematical Biology (Online First, October 2008)
R Carter, L Geris & S Rebous. Regenerative Medicine Using ORgan Printing
Technologies. Proceedings of the 7th Mathematics in Medicine Study Group
(September 2007)
MB Giles & R Carter. Sharp Error Estimates for Discretisations of the 1D
Convection/Diffusion Equation with Dirac Initial Data. IMA Journal of
Numerical Analysis (April 2007)
R Carter, J Evans & G Richardson. Wax Deposition in Oil Pipelines, Norsk
Hydro. Proceedings of the 56th European Study Group in Industry (2006)
MB Giles & R Carter. Convergence Analysis of Crank-Nicolson and Rannacher
Time-Marching. Journal of Computational Finance, 9(4) (Summer 2006)
Hobbies
music (oboe and piano)
Links