Prof. Sarah Waters
Status
Academic Faculty
Professor of Applied Mathematics Tutorial Fellow of St Anne's college
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted publications
The energetics of flow through a rapidly oscillating tube with slowly varying amplitude.
Whittaker, R Heil, M Waters, S Philos Trans A Math Phys Eng Sci volume 369 issue 1947 2989-3006 (28 Jul 2011) https://www.ncbi.nlm.nih.gov/pubmed/21690145 Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes
Whittaker, R Heil, M Jensen, O Waters, S Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 466 issue 2124 3635-3657 (08 Dec 2010) A multiphase model for tissue construct growth in a perfusion bioreactor.
O'Dea, R Waters, S Byrne, H Math Med Biol volume 27 issue 2 95-127 (Jun 2010) https://www.ncbi.nlm.nih.gov/pubmed/19805485 The energetics of flow through a rapidly oscillating tube. Part 1. General theory
Whittaker, R Waters, S Jensen, O Boyle, J Heil, M Journal of Fluid Mechanics volume 648 83-121 (10 Apr 2010) The energetics of flow through a rapidly oscillating tube. Part 2. Application to an elliptical tube
Whittaker, R Heil, M Boyle, J Jensen, O Waters, S Journal of Fluid Mechanics volume 648 123-153 (10 Apr 2010) Research interests
Physiological fluid mechanics; Tissue engineering; Biomechanics; Mathematical modelling in medicine and biology
Recent publications
A kinetic model of a polyelectrolyte gel undergoing phase separation
Celora, G Hennessy, M Muench, A Wagner, B Waters, S Journal of the Mechanics and Physics of Solids volume 160 (18 Jan 2022) Coupling stokes flow with inhomogeneous poroelasticity
Taffetani, M Ruiz-Baier, R Waters, S Quarterly Journal of Mechanics and Applied Mathematics volume 74 issue 4 411-439 (19 Nov 2021) A systematically reduced mathematical model for organoid expansion
Ellis, M Dalwadi, M Byrne, H Waters, S Frontiers in Bioengineering and Biotechnology volume 9 (10 Jun 2021) A temperature model for laser lithotripsy.
Williams, J Goldsmith, L Moulton, D Waters, S Turney, B World journal of urology volume 39 issue 6 1707-1716 (Jun 2021) A kinetic model of a polyelectrolyte gel undergoing phase separation
Celora, G Hennessy, M Münch, A Wagner, B Waters, S (28 May 2021) http://arxiv.org/abs/2105.13689v1