User profiles for Sarah L. Waters
Sarah WatersProfessor 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
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 …
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
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 …
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 …
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
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 …
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
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 …
challenging and requires a multidisciplinary approach. What has not yet been fully recognised is …
Theoretical models for coronary vascular biomechanics: progress & challenges
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 …
functional behaviour of the heart under physiological and pathophysiological conditions. Heart …
Local and global instabilities of flow in a flexible-walled channel
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 …
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?
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 …
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
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 …
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
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 …
axially uniform elliptical cross section. The tube is subject to an axial pre-stress, and the …