Sarah L. Waters
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Sarah L. Waterscomputer-science Degrees
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Sarah L. Watersengineering Degrees
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Electrical Engineering
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Computer Science Engineering
Sarah L. Waters's Degrees
- PhD Computer Science Stanford University
- Masters Electrical Engineering University of California, Berkeley
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Why Is Sarah L. Waters Influential?
(Suggest an Edit or Addition)According to Wikipedia, Sarah Louise Waters is a British applied mathematician whose research interests include biological fluid mechanics, tissue engineering, and their applications in medicine. She is a professor of applied mathematics in the Mathematical Institute at the University of Oxford, a Fellow of St Anne's College, Oxford, and a Leverhulme Trust Senior Research Fellow of the Royal Society.
Sarah L. Waters's Published Works
Published Works
- Mechanics of the brain: perspectives, challenges, and opportunities (2015) (276)
- Chaste: A test-driven approach to software development for biological modelling (2009) (265)
- An integrative computational model for intestinal tissue renewal (2009) (162)
- Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare? (2013) (119)
- The EuroPhysiome, STEP and a roadmap for the virtual physiological human (2008) (118)
- Theoretical models for coronary vascular biomechanics: progress & challenges. (2011) (73)
- Steady flows in pipes with finite curvature (2005) (67)
- Local and global instabilities of flow in a flexible-walled channel (2009) (66)
- The propagation of a liquid bolus along a liquid-lined flexible tube (2000) (65)
- A multiphase model for tissue construct growth in a perfusion bioreactor. (2010) (57)
- The effect of ureteric stents on urine flow: Reflux (2004) (51)
- Continuum Modelling of In Vitro Tissue Engineering: A Review (2012) (50)
- Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor. (2009) (46)
- Mathematical modelling reveals cellular dynamics within tumour spheroids (2020) (45)
- A Rational Derivation of a Tube Law from Shell Theory (2010) (45)
- The propagation of a surfactant laden liquid plug in a capillary tube (2002) (45)
- Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes (2010) (45)
- Is the Donnan effect sufficient to explain swelling in brain tissue slices? (2014) (43)
- Non-local models for the formation of hepatocyte-stellate cell aggregates. (2010) (43)
- Unsteady flows in pipes with finite curvature (2008) (42)
- A two-fluid model for tissue growth within a dynamic flow environment (2008) (39)
- A multiscale analysis of nutrient transport and biological tissue growth in vitro. (2015) (38)
- Growth-induced buckling of an epithelial layer (2011) (38)
- Tissue growth in a rotating bioreactor. Part II: fluid flow and nutrient transport problems. (2007) (37)
- A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor. (2013) (37)
- Sloshing and slamming oscillations in a collapsible channel flow (2010) (36)
- Flow dynamics in a stented ureter. (2008) (36)
- The energetics of flow through a rapidly oscillating tube. Part 1. General theory (2010) (36)
- Flow in a tube with non-uniform, time-dependent curvature: governing equations and simple examples (1996) (36)
- The influence of bioreactor geometry and the mechanical environment on engineered tissues. (2010) (36)
- Mathematical modelling of human mesenchymal stem cell proliferation and differentiation inside artificial porous scaffolds. (2007) (35)
- Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications. (2011) (34)
- Flow in a wavy-walled channel lined with a poroelastic layer (2003) (33)
- Ureteric stents: Investigating flow and encrustation (2008) (31)
- Oscillatory flow in a tube of time-dependent curvature. Part 1. Perturbation to flow in a stationary curved tube (1999) (31)
- A Mathematical Model of Liver Cell Aggregation In Vitro (2009) (30)
- Multiphase modelling of the influence of fluid flow and chemical concentration on tissue growth in a hollow fibre membrane bioreactor. (2014) (30)
- Tissue growth in a rotating bioreactor. Part I: mechanical stability. (2006) (30)
- How rapidly oscillating collapsible tubes extract energy from a viscous mean flow (2008) (30)
- The energetics of flow through a rapidly oscillating tube. Part 2. Application to an elliptical tube (2010) (29)
- The interplay between tissue growth and scaffold degradation in engineered tissue constructs (2013) (29)
- Mathematical modelling of tissue-engineered angiogenesis. (2009) (29)
- Solute uptake through the walls of a pulsating channel (2001) (28)
- Transient elastohydrodynamic drag on a particle moving near a deformable wall (2006) (28)
- Optimising Cell Aggregate Expansion in a Perfused Hollow Fibre Bioreactor via Mathematical Modelling (2014) (27)
- Coriolis effects in a rotating Hele-Shaw cell (2005) (25)
- Cellular blebs: pressure-driven, axisymmetric, membrane protrusions (2014) (25)
- A mathematical model of cytotoxic and helper T cell interactions in a tumour microenvironment (2018) (24)
- On the predictions and limitations of the Becker-Döring model for reaction kinetics in micellar surfactant solutions. (2011) (24)
- Inducing chondrogenesis in MSC/chondrocyte co-cultures using exogenous TGF-β: a mathematical model (2017) (24)
- Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix (2013) (22)
- Multiphase modelling of the effect of fluid shear stress on cell yield and distribution in a hollow fibre membrane bioreactor (2014) (22)
- Evaluation of the growth environment of a hydrostatic force bioreactor for preconditioning of tissue-engineered constructs. (2015) (21)
- Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering (2017) (21)
- Multiple travelling-wave solutions in a minimal model for cell motility. (2013) (20)
- Three mechanical models for blebbing and multi-blebbing (2014) (18)
- Global contraction or local growth, bleb shape depends on more than just cell structure. (2015) (18)
- Regenerative medicine meets mathematical modelling: developing symbiotic relationships (2021) (17)
- Experimental and theoretical modelling of blind-ended vessels within a developing angiogenic plexus. (2008) (17)
- Mathematical modelling of blood-brain barrier failure and oedema. (2015) (17)
- Transverse flows in rapidly oscillating elastic cylindrical shells (2006) (17)
- Shock formation and non-linear dispersion in a microvascular capillary network. (2007) (16)
- Propagation of damage in brain tissue: coupling the mechanics of oedema and oxygen delivery (2015) (16)
- Curvature- and fluid-stress-driven tissue growth in a tissue-engineering scaffold pore (2018) (16)
- Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer (2010) (14)
- Digital Human Modelling: A Global Vision and a European Perspective (2007) (13)
- The Fluid Mechanics of Ureteroscope Irrigation (2019) (13)
- Combining multiple spatial statistics enhances the description of immune cell localisation within tumours (2020) (13)
- Wrinkling, creasing, and folding in fiber-reinforced soft tissues (2016) (13)
- Atherosclerotic plaque rupture (2002) (12)
- Flow dynamics in a stented ureter (2006) (12)
- A kinetic model of a polyelectrolyte gel undergoing phase separation (2021) (12)
- Identifying chondrogenesis strategies for tissue engineering of articular cartilage (2019) (11)
- Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold (2013) (11)
- A mathematical model for the laser treatment of heart disease. (2004) (11)
- On a poroviscoelastic model for cell crawling (2015) (11)
- An Asymptotic Theory for the Re-Equilibration of a Micellar Surfactant Solution (2012) (10)
- Heat or mass transfer at low Péclet number for Brinkman and Darcy flow round a sphere (2014) (10)
- Flow and solute uptake in a twisting tube (2006) (10)
- Mathematical modelling of cell layer growth in a hollow fibre bioreactor. (2017) (10)
- On the liquid lining in fluid-conveying curved tubes (2011) (10)
- On the boundary layer structure near a highly permeable porous interface (2015) (9)
- A Mathematical Framework for Developing Freezing Protocols in the Cryopreservation of Cells (2020) (9)
- The energetics of flow through a rapidly oscillating tube with slowly varying amplitude (2011) (8)
- A temperature model for laser lithotripsy (2020) (8)
- Axonal Buckling Following Stretch Injury (2017) (8)
- Modelling crystal aggregation and deposition in the catheterised lower urinary tract (2009) (8)
- Steady symmetric low-Reynolds-number flow past a film-coated cylinder (2012) (8)
- Dispersion-enhanced solute transport in a cell-seeded hollow fibre membrane bioreactor (2016) (8)
- Fluid mechanical modeling of the upper urinary tract. (2021) (8)
- The cardiac physiome: foundations and future prospects for mathematical modelling of the heart. (2011) (8)
- The influence of hydrostatic pressure on tissue engineered bone development. (2016) (8)
- Mathematical modelling of stretch-induced membrane traffic in bladder umbrella cells. (2016) (7)
- Numerical Computation of the Steady Secondary Flow in a Tube with Time‐Dependent Curvature (2001) (6)
- Spatially localised growth within global instabilities of flexible channel flows (2010) (6)
- Effects of geometry on resistance in elliptical pipe flows (2020) (6)
- Cavity flow characteristics and applications to kidney stone removal (2020) (6)
- Lattice and continuum modelling of a bioactive porous tissue scaffold. (2017) (6)
- Mathematical challenges in integrative physiology (2008) (5)
- Pattern formation in multiphase models of chemotactic cell aggregation. (2018) (4)
- A multiphase model for chemically- and mechanically- induced cell differentiation in a hollow fibre membrane bioreactor: minimising growth factor consumption (2016) (4)
- Modelling fluid and nutrient transport to determine the influence of cell seeding on the growth of cell aggregates on a permeable membrane (2012) (4)
- Approaches to myosin modelling in a two-phase flow model for cell motility (2016) (3)
- Experimental and mathematical modelling of magnetically labelled mesenchymal stromal cell delivery (2020) (3)
- Heat or mass transfer from a sphere in Stokes flow at low Péclet number (2013) (3)
- The dynamics of a collapsing polyelectrolyte gel (2021) (3)
- Shape optimisation for faster washout in recirculating flows (2021) (3)
- Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model (2011) (3)
- The effect of weak inertia in rotating high-aspect-ratio vessel bioreactors (2017) (3)
- A lumped-parameter model for kidney pressure during stone removal (2020) (3)
- Mathematical modelling of autoimmune myocarditis and the effects of immune checkpoint inhibitors. (2022) (3)
- Coupling Stokes flow with inhomogeneous poroelasticity (2021) (3)
- The effect of membrane-regulated actin polymerization on a two-phase flow model for cell motility (2014) (2)
- Combining Mathematical Modelling with Experimental Data to Characterize Fluid and Protein Transport Properties in Hollow Fibre Scaffolds (2009) (2)
- Curvature in Biological Systems: Its Quantification, Emergence, and Implications across the Scales (2022) (2)
- oscillations in elastic-walled tubes Predicting the onset of high-frequency self-excited (2010) (2)
- Co-culture bioreactor design for skeletal tissue engineering (2007) (2)
- Model-based iterative reconstruction for spectral-domain optical coherence tomography (2019) (2)
- A mathematical model for cell infiltration and proliferation in a chondral defect. (2017) (2)
- Spinodal decomposition and collapse of a polyelectrolyte gel (2020) (2)
- Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media (2017) (2)
- Shock formation and nonlinear dispersion in a microvascular network (2007) (2)
- Analysis of Lattice and Continuum Models of Bioactive Porous Media (2017) (2)
- A Systematically Reduced Mathematical Model for Organoid Expansion (2021) (2)
- Influence of soluble surfactant on liquid plug propagation in a rigid tube (1999) (1)
- Remedi: A research consortium applying engineering strategies to establish regenerative medicine as a new industry (2009) (1)
- Bioreactor design for osteochondral tissue (2007) (1)
- Predicting bone formation in MSC seeded hydrogels using experiment based mathematical modelling. (2020) (1)
- Simultaneous reconstruction and displacement estimation for spectral-domain optical coherence elastography (2019) (1)
- A model-informed approach to assess the risk of immune checkpoint inhibitor-induced autoimmune myocarditis (2022) (1)
- Mathematical modelling of autoimmune myocarditis and the effects of immune checkpoint inhibitors (2021) (1)
- A mathematical model of renal temperatures during laser lithotripsy (2020) (1)
- Propagation of damage in brain tissue: coupling the mechanics of oedema and oxygen delivery (2015) (1)
- Asymptotic study of the electric double layer at the interface of a polyelectrolyte gel and solvent bath (2020) (1)
- Flow in an Elastic Tube Subject to Prescribed Forcing: A Model of Umbilical Venous Flow (2001) (1)
- Dispersion-enhanced solute transport in a cell-seeded hollow fibre membrane bioreactor (2015) (0)
- Mathematical models of capillary sprouts in developing microvascular networks (2006) (0)
- Mathematical modelling of flow and transport processes in tissue engineering bioreactors (2014) (0)
- High-frequency self-excited oscillations in collapsible tube flows (2009) (0)
- O'Dea, Reuben D. and Nelson, Martin, R. and El Haj, A. and Waters, Sarah L. and Byrne, Helen M. (2014) A multiscale analysis of nutrient transport and biological tissue growth in vitro. Mathematical Medicine and Biology . ISSN 1477-8599 (2017) (0)
- Multiphase Modelling of Tissue Growth in a Hollow Fibre Membrane Bioreactor (2012) (0)
- Estimating lung volume during high frequency ventilation (2000) (0)
- 4 Atherosclerotic plaque rupture (2002) (0)
- Role of Kidney Stones in Renal Pelvis Flow. (2022) (0)
- Flow in a cavity: fluid mechanics of kidney stone removal (2019) (0)
- Flow through a free-moving porous cylinder within a rotating cylindrical vessel (2012) (0)
- Mathematical modelling in tissue engineering (2003) (0)
- Integral constraints in multiple scales problems with a slowly varying microstructure (2023) (0)
- Mathematical modelling of coronary artery blood flow (2006) (0)
- A mathematical model for single-cell cryopreservation (2020) (0)
- Axonal Buckling Following Stretch Injury (2017) (0)
- Influence of Cell Seeding and Fluid Flow on Cell Aggregate Growth in Hollow Fibre Bioreactors (2013) (0)
- A mathematical framework for developing freezing protocols in cryopreservation (2019) (0)
- Mathematical modelling of blood flow in curved arteries (2006) (0)
- A multi-phase model for the growth of a bone tissue construct subject to dynamic culture conditions (2006) (0)
- Cellular blebs: pressure-driven, axisymmetric, membrane protrusions (2013) (0)
- Transitioning from a single-phase fluid to a porous medium: a boundary layer approach (2014) (0)
- The Effect of Scaffold Morphology on Tissue Growth (2018) (0)
- Mathematical modelling of oncolytic virotherapy (2013) (0)
- O'Dea, Reuben D. and Waters, Sarah L. and Byrne, Helen M. (2010) A multiphase model for tissue construct growth in a perfusion bioreactor. Mathematical Medicine (2017) (0)
- Biofilm and encrustation development on stents and catheters (2006) (0)
- The electric double layer at the interface between a polyelectrolyte gel and salt bath (2022) (0)
- XXI ICTAM, 15–21 August 2004, Warsaw, Poland TRANSVERSE FLOWS IN RAPIDLY OSCILLATING CYLINDRICAL TUBES (0)
- A note on heat and mass transfer from a sphere in Stokesflow at low Péclet number (2012) (0)
- Nonuniqueness in a minimal model for cell motility (2011) (0)
- Mathematical Modelling of Nanoparticle Delivery to Vascular Tumours (2009) (0)
- On a poroviscoelastic model for cell crawling (2014) (0)
- The Influence of Wall Flexibility and Surfactant on Liquid Bolus Propagation Along a Liquid-Lined Tube (1998) (0)
- Development of a biologically inspired in-vitro platform for long-term assessment of commercial and innovative ureteral stents (2019) (0)
- A multiphase model for chemically- and mechanically- induced cell differentiation in a hollow fibre membrane bioreactor: minimising growth factor consumption (2015) (0)
- Multiphase modelling of the effect of fluid shear stress on cell yield and distribution in a hollow fibre membrane bioreactor (2014) (0)
- Magnetically Driven Aggregation of Cells in a Channel (2019) (0)
- The effect of geometry on resistance in elliptical coaxial pipe flows (2020) (0)
- The Venous Haemodynamics of Feto-Placental Circulation: A Lumped-Model Approach (2003) (0)
- TRANSVERSE FLOWS IN RAPIDLY OSCILLATING CYLINDRICAL TUBES (2004) (0)
- A Homogenised Model of Fluid-String Interaction (2022) (0)
- Remote spatially variant debiased profiling of cell and tissue mechanical properties (2021) (0)
- Annular thin-film flows driven by azimuthal membrane tension variations. (2005) (0)
- A Mathematical Model of a Valve-Controlled Bioreactor for Platelet Production (2022) (0)
- In vivo delivery of gene therapy to tumours (2005) (0)
- Three-dimensional flows in rapidly oscillating vessels (2006) (0)
- Number 11 / 10 On the predictions and limitations of the BeckerDoring model for reaction kinetics in micellar surfactant solutions by (2011) (0)
- Fibre-reinforced hydrogels for tissue engineering (2017) (0)
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