User profiles for Sarah L. Waters

Sarah Waters

Professor of Applied Mathematics, University of Oxford
Verified email at maths.ox.ac.uk
Cited by 4645

Chaste: a test-driven approach to software development for biological modelling

…, PK Maini, B Rodríguez, SL Waters… - Computer Physics …, 2009 - Elsevier
Chaste (‘Cancer, heart and soft-tissue environment’) is a software library and a set of test
suites for computational simulations in the domain of biology. Current functionality has arisen …

Curvature in biological systems: its quantification, emergence, and implications across the scales

…, A Tagua, C Tomba, X Trepat, SL Waters… - advanced …, 2023 - Wiley Online Library
Surface curvature both emerges from, and influences the behavior of, living objects at length
scales ranging from cell membranes to single cells to tissues and organs. The relevance of …

Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?

…, JM Oliver, NC Pearson, RJ Shipley, SL Waters… - Advances in Water …, 2013 - Elsevier
A wide variety of techniques have been developed to homogenize transport equations in
multiscale and multiphase systems. This has yielded a rich and diverse field, but has also …

[HTML][HTML] Mathematical modelling reveals cellular dynamics within tumour spheroids

JA Bull, F Mech, T Quaiser, SL Waters… - PLoS computational …, 2020 - journals.plos.org
Tumour spheroids are widely used as an in vitro assay for characterising the dynamics and
response to treatment of different cancer cell lines. Their popularity is largely due to the …

[HTML][HTML] Regenerative medicine meets mathematical modelling: developing symbiotic relationships

SL Waters, LJ Schumacher, AJ El Haj - npj Regenerative Medicine, 2021 - nature.com
Successful progression from bench to bedside for regenerative medicine products is
challenging and requires a multidisciplinary approach. What has not yet been fully recognised is …

Theoretical models for coronary vascular biomechanics: progress & challenges

SL Waters, J Alastruey, DA Beard… - Progress in biophysics …, 2011 - Elsevier
A key aim of the cardiac Physiome Project is to develop theoretical models to simulate the
functional behaviour of the heart under physiological and pathophysiological conditions. Heart …

Local and global instabilities of flow in a flexible-walled channel

PS Stewart, SL Waters, OE Jensen - European Journal of Mechanics-B …, 2009 - Elsevier
We consider laminar high-Reynolds-number flow through a long finite-length planar channel,
where a segment of one wall is replaced by a massless membrane held under longitudinal …

Is the Donnan effect sufficient to explain swelling in brain tissue slices?

…, PS Stewart, D Vella, SL Waters… - Journal of the …, 2014 - royalsocietypublishing.org
Brain tissue swelling is a dangerous consequence of traumatic injury and is associated with
raised intracranial pressure and restricted blood flow. We consider the mechanical effects …

Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes

…, M Heil, OE Jensen, SL Waters - Proceedings of the …, 2010 - royalsocietypublishing.org
We present a theoretical description of flow-induced self-excited oscillations in the Starling
resistor—a pre-stretched thin-walled elastic tube that is mounted on two rigid tubes and …

A rational derivation of a tube law from shell theory

…, M Heil, OE Jensen, SL Waters - Quarterly journal of …, 2010 - ieeexplore.ieee.org
We consider small-amplitude deformations of a long thin-walled elastic tube having an initially
axially uniform elliptical cross section. The tube is subject to an axial pre-stress, and the …