Local and global instabilities of flow in a flexible-walled channel. Zbl 1167.76329
Stewart, Peter S.; Waters, Sarah L.; Jensen, Oliver E. |
|
2009
|
Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038
Pitt-Francis, Joe; Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Fletcher, Alexander G.; Mirams, Gary R.; Murray, Philip; Osborne, James M.; Walter, Alex; Chapman, S. Jon; Garny, Alan; Van Leeuwen, Ingeborg M. M.; Maini, Philip K.; Rodríguez, Blanca; Waters, Sarah L.; Whiteley, Jonathan P.; Byrne, Helen M.; Gavaghan, David J. |
|
2009
|
A multiphase model for tissue construct growth in a perfusion bioreactor. Zbl 1190.92008
O’Dea, R. D.; Waters, S. L.; Byrne, H. M. |
|
2010
|
A two-fluid model for tissue growth within a dynamic flow environment. Zbl 1256.92015
O’Dea, R. D.; Waters, S. L.; Byrne, H. M. |
|
2008
|
A multiscale analysis of nutrient transport and biological tissue growth in vitro. Zbl 1325.92061
O’Dea, R. D.; Nelson, M. R.; El Haj, A. J.; Waters, S. L.; Byrne, H. M. |
|
2015
|
Sloshing and slamming oscillations in a collapsible channel flow. Zbl 1205.76077
Stewart, Peter S.; Heil, Matthias; Waters, Sarah L.; Jensen, Oliver E. |
|
2010
|
Flow in a wavy-walled channel lined with a poroelastic layer. Zbl 1063.76689
Wei, H. H.; Waters, S. L.; Liu, S. Q.; Grotberg, J. B. |
|
2003
|
Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes. Zbl 1211.74119
Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L. |
|
2010
|
Non-local models for the formation of hepatocyte-stellate cell aggregates. Zbl 1410.92025
Green, J. E. F.; Waters, S. L.; Whiteley, J. P.; Edelstein-Keshet, L.; Shakesheff, K. M.; Byrne, H. M. |
|
2010
|
The energetics of flow through a rapidly oscillating tube. I: General theory. Zbl 1189.76133
Whittaker, Robert J.; Waters, Sarah L.; Jensen, Oliver E.; Boyle, Jonathan; Heil, Matthias |
|
2010
|
Unsteady flows in pipes with finite curvature. Zbl 1151.76644
Siggers, J. H.; Waters, S. L. |
|
2008
|
Steady flows in pipes with finite curvature. Zbl 1187.76489
Siggers, J. H.; Waters, S. L. |
|
2005
|
A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor. Zbl 1318.92013
Shakeel, Muhammad; Matthews, Paul C.; Graham, Richard S.; Waters, Sarah L. |
|
2013
|
The propagation of a liquid bolus along a liquid-lined flexible tube. Zbl 0984.76100
Howell, P. D.; Waters, S. L.; Grotberg, J. B. |
|
2000
|
Transient elastohydrodynamic drag on a particle moving near a deformable wall. Zbl 1105.76019
Weekley, S. J.; Waters, S. L.; Jensen, O. E. |
|
2006
|
The energetics of flow through a rapidly oscillating tube. II: Application to an elliptical tube. Zbl 1189.76132
Whittaker, Robert J.; Heil, Matthias; Boyle, Jonathan; Jensen, Oliver E.; Waters, Sarah L. |
|
2010
|
A rational derivation of a tube law from shell theory. Zbl 1256.74017
Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L. |
|
2010
|
How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. Zbl 1151.76418
Heil, Matthias; Waters, Sarah L. |
|
2008
|
Transverse flows in rapidly oscillating elastic cylindrical shells. Zbl 1082.74015
Heil, Matthias; Waters, Sarah L. |
|
2006
|
Oscillatory flow in a tube of time-dependent curvature. I: Perturbation to flow in a stationary curved tube. Zbl 0932.76099
Waters, S. L.; Pedley, T. J. |
|
1999
|
Shock formation and non-linear dispersion in a microvascular capillary network. Zbl 1146.92014
Pop, S. R.; Richardson, G.; Waters, S. L.; Jensen, O. E. |
|
2007
|
The propagation of a surfactant laden liquid plug in a capillary tube. Zbl 1184.76586
Waters, S. L.; Grotberg, J. B. |
|
2002
|
Multiphase modelling of the influence of fluid flow and chemical concentration on tissue growth in a hollow fibre membrane bioreactor. Zbl 1345.92095
Pearson, Natalie C.; Shipley, Rebecca J.; Waters, Sarah L.; Oliver, James M. |
|
2014
|
Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor. Zbl 1400.92205
Whittaker, Robert J.; Booth, Richard; Dyson, Rosemary; Bailey, Clare; Parsons Chini, Louise; Naire, Shailesh; Payvandi, Sevil; Rong, Zimei; Woollard, Hannah; Cummings, Linda J.; Waters, Sarah L.; Mawasse, Lina; Chaudhuri, Julian B.; Ellis, Marianne J.; Michael, Vipin; Kuiper, Nicola J.; Cartmell, Sarah |
|
2009
|
Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications. Zbl 1252.92019
Shipley, Rebecca J.; Waters, Sarah L. |
|
2012
|
Tissue growth in a rotating bioreactor. I: Mechanical stability. Zbl 1117.92020
Waters, S. L.; Cummings, L. J.; Shakesheff, K. M.; Rose, F. R. A. J. |
|
2006
|
Solute uptake through the walls of a pulsating channel. Zbl 0985.76083
Waters, S. L. |
|
2001
|
Multiple travelling-wave solutions in a minimal model for cell motility. Zbl 1272.92005
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; King, J. R.; Oliver, J. M. |
|
2013
|
A mathematical framework for developing freezing protocols in the cryopreservation of cells. Zbl 1437.80003
Dalwadi, Mohit P.; Waters, Sarah L.; Byrne, Helen M.; Hewitt, Ian J. |
|
2020
|
Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering. Zbl 1503.74027
Chen, M. J.; Kimpton, L. S.; Whiteley, J. P.; Castilho, M.; Malda, J.; Please, C. P.; Waters, S. L.; Byrne, H. M. |
|
2020
|
Local instabilities of flow in a flexible channel: asymmetric flutter driven by a weak critical layer. Zbl 1188.76152
Stewart, Peter S.; Waters, Sarah L.; Jensen, Oliver E. |
|
2010
|
Mathematical modelling of human mesenchymal stem cell proliferation and differentiation inside artificial porous scaffolds. Zbl 1453.92044
Lemon, Greg; Waters, Sarah L.; Rose, Felicity R. A. J.; King, John R. |
|
2007
|
A mathematical model of liver cell aggregation in vitro. Zbl 1163.92013
Green, J. E. F.; Waters, S. L.; Shakesheff, K. M.; Byrne, H. M. |
|
2009
|
The effect of ureteric stents of urine flow. Reflux. Zbl 1060.92028
Cummings, L. J.; Waters, S. L.; Wattis, J. A. D.; Graham, S. J. |
|
2004
|
On the liquid lining in fluid-conveying curved tubes. Zbl 1250.76193
Hazel, Andrew L.; Heil, Matthias; Waters, Sarah L.; Oliver, James M. |
|
2012
|
Tissue growth in a rotating bioreactor. II: Fluid flow and nutrient transport problems. Zbl 1149.92013
Cummings, L. J.; Waters, S. L. |
|
2007
|
Coriolis effects in a rotating Hele-Shaw cell. Zbl 1187.76553
Waters, S. L.; Cummings, L. J. |
|
2005
|
Effects of geometry on resistance in elliptical pipe flows. Zbl 1460.76961
Williams, J. G.; Turney, B. W.; Moulton, D. E.; Waters, S. L. |
|
2020
|
Coupling Stokes flow with inhomogeneous poroelasticity. Zbl 1507.76210
Taffetani, Matteo; Ruiz-Baier, Ricardo; Waters, Sarah |
|
2021
|
Mathematical challenges in integrative physiology. Zbl 1180.92018
Brook, B. S.; Waters, S. L. |
|
2008
|
Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034
Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain |
|
2017
|
The interplay between tissue growth and scaffold degradation in engineered tissue constructs. Zbl 1278.92021
O’Dea, R. D.; Osborne, J. M.; El Haj, A. J.; Byrne, H. M.; Waters, S. L. |
|
2013
|
Annular thin-film flows driven by azimuthal variations in interfacial tension. Zbl 1197.76018
Band, L. R.; Riley, D. S.; Matthews, P. C.; Oliver, J. M.; Waters, S. L. |
|
2009
|
On the boundary layer structure near a highly permeable porous interface. Zbl 1422.76050
Dalwadi, Mohit P.; Chapman, S. Jonathan; Waters, Sarah L.; Oliver, James M. |
|
2016
|
Pattern formation in multiphase models of chemotactic cell aggregation. Zbl 1404.92035
Green, J. E. F.; Whiteley, J. P.; Oliver, J. M.; Byrne, H. M.; Waters, S. L. |
|
2018
|
On a poroviscoelastic model for cell crawling. Zbl 1309.92028
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; Oliver, J. M. |
|
2015
|
Flow dynamics in a stented ureter. Zbl 1157.92315
Siggers, Jennifer H.; Waters, Sarah; Wattis, Jonathan; Cummings, Linda |
|
2009
|
Flow and solute uptake in a twisting tube. Zbl 1098.76020
O’Dea, R. D.; Waters, S. L. |
|
2006
|
Flow in an elastic tube subject to prescribed forcing: A model of umbilical venous flow. Zbl 0994.92017
Waters, S. L.; Guiot, C. |
|
2001
|
Numerical computation of the steady secondary flow in a tube with time-dependent curvature. Zbl 0997.76103
van Meerveld, J.; Waters, S. L. |
|
2001
|
Mathematical modelling of tissue-engineered angiogenesis. Zbl 1175.92028
Lemon, Greg; Howard, Daniel; Tomlinson, Matthew J.; Buttery, Lee D.; Rose, Felicity R. A. J.; Waters, Sarah L.; King, John R. |
|
2009
|
Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold. Zbl 1308.92033
Pohlmeyer, J. V.; Waters, S. L.; Cummings, L. J. |
|
2013
|
Three mechanical models for blebbing and multi-blebbing. Zbl 1330.92020
Woolley, Thomas E.; Gaffney, Eamonn A.; Waters, Sarah L.; Oliver, James M.; Baker, Ruth E.; Goriely, Alain |
|
2014
|
The effect of weak inertia in rotating high-aspect-ratio vessel bioreactors. Zbl 1421.76278
Dalwadi, Mohit P.; Chapman, S. Jonathan; Oliver, James M.; Waters, Sarah L. |
|
2018
|
Approaches to myosin modelling in a two-phase flow model for cell motility. Zbl 1373.92022
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; Oliver, J. M. |
|
2016
|
Shape optimisation for faster washout in recirculating flows. Zbl 1461.76583
Williams, J. G.; Wechsung, F.; Turney, B. W.; Waters, S. L.; Moulton, D. E. |
|
2021
|
The energetics of flow through a rapidly oscillating tube with slowly varying amplitude. Zbl 1228.76061
Whittaker, Robert J.; Heil, Matthias; Waters, Sarah L. |
|
2011
|
Steady symmetric low-Reynolds-number flow past a film-coated cylinder. Zbl 1322.76009
Band, L. R.; Oliver, J. M.; Waters, S. L.; Riley, D. S. |
|
2013
|
Computation of two-dimensional Stokes flows via lightning and AAA rational approximation. Zbl 1535.76029
Xue, Yidan; Waters, Sarah L.; Trefethen, Lloyd N. |
|
2024
|
Global contraction or local growth, bleb shape depends on more than just cell structure. Zbl 1343.92140
Woolley, Thomas E.; Gaffney, Eamonn A.; Oliver, James M.; Waters, Sarah L.; Baker, Ruth E.; Goriely, Alain |
|
2015
|
The influence of hydrostatic pressure on tissue engineered bone development. Zbl 1343.92038
Neßler, K. H. L.; Henstock, J. R.; El Haj, A. J.; Waters, S. L.; Whiteley, J. P.; Osborne, J. M. |
|
2016
|
Inducing chondrogenesis in MSC/chondrocyte co-cultures using exogenous TGF-\(\beta\): a mathematical model. Zbl 1397.92079
Chen, Michael J.; Whiteley, Jonathan P.; Please, Colin P.; Schwab, Andrea; Ehlicke, Franziska; Waters, Sarah L.; Byrne, Helen M. |
|
2018
|
Dispersion-enhanced solute transport in a cell-seeded hollow fibre membrane bioreactor. Zbl 1360.76363
Pearson, Natalie C.; Shipley, Rebecca J.; Waters, Sarah L.; Oliver, James M. |
|
2016
|
Mathematical modelling of cell layer growth in a hollow fibre bioreactor. Zbl 1369.92029
Chapman, Lloyd A. C.; Whiteley, Jonathan P.; Byrne, Helen M.; Waters, Sarah L.; Shipley, Rebecca J. |
|
2017
|
The effect of membrane-regulated actin polymerization on a two-phase flow model for cell motility. Zbl 1328.92025
Kimpton, Laura S.; Whiteley, Jonathan P.; Waters, Sarah L.; Oliver, James M. |
|
2014
|
Bifurcations and dynamics emergent from lattice and continuum models of bioactive porous media. Zbl 1402.35285
Krause, Andrew L.; Beliaev, Dmitry; Van Gorder, Robert A.; Waters, Sarah L. |
|
2018
|
Axonal buckling following stretch injury. Zbl 1375.92009
Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain |
|
2017
|
Flow in a tube with non-uniform, time-dependent curvature: Governing equations and simple examples. Zbl 0889.76099
Lynch, D. G.; Waters, S. L.; Pedley, T. J. |
|
1996
|
A lumped-parameter model for kidney pressure during stone removal. Zbl 1457.92083
Williams, J. G.; Rouse, L.; Turney, B. W.; Waters, S. L.; Moulton, D. E. |
|
2020
|
Cavity flow characteristics and applications to kidney stone removal. Zbl 1460.76960
Williams, J. G.; Castrejón-Pita, A. A.; Turney, B. W.; Farrell, P. E.; Tavener, S. J.; Moulton, D. E.; Waters, S. L. |
|
2020
|
An asymptotic theory for the re-equilibration of a micellar surfactant solution. Zbl 1246.82090
Griffiths, I. M.; Bain, C. D.; Breward, C. J. W.; Chapman, S. J.; Howell, P. D.; Waters, S. L. |
|
2012
|
Computation of two-dimensional Stokes flows via lightning and AAA rational approximation. Zbl 1535.76029
Xue, Yidan; Waters, Sarah L.; Trefethen, Lloyd N. |
|
2024
|
Coupling Stokes flow with inhomogeneous poroelasticity. Zbl 1507.76210
Taffetani, Matteo; Ruiz-Baier, Ricardo; Waters, Sarah |
|
2021
|
Shape optimisation for faster washout in recirculating flows. Zbl 1461.76583
Williams, J. G.; Wechsung, F.; Turney, B. W.; Waters, S. L.; Moulton, D. E. |
|
2021
|
A mathematical framework for developing freezing protocols in the cryopreservation of cells. Zbl 1437.80003
Dalwadi, Mohit P.; Waters, Sarah L.; Byrne, Helen M.; Hewitt, Ian J. |
|
2020
|
Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering. Zbl 1503.74027
Chen, M. J.; Kimpton, L. S.; Whiteley, J. P.; Castilho, M.; Malda, J.; Please, C. P.; Waters, S. L.; Byrne, H. M. |
|
2020
|
Effects of geometry on resistance in elliptical pipe flows. Zbl 1460.76961
Williams, J. G.; Turney, B. W.; Moulton, D. E.; Waters, S. L. |
|
2020
|
A lumped-parameter model for kidney pressure during stone removal. Zbl 1457.92083
Williams, J. G.; Rouse, L.; Turney, B. W.; Waters, S. L.; Moulton, D. E. |
|
2020
|
Cavity flow characteristics and applications to kidney stone removal. Zbl 1460.76960
Williams, J. G.; Castrejón-Pita, A. A.; Turney, B. W.; Farrell, P. E.; Tavener, S. J.; Moulton, D. E.; Waters, S. L. |
|
2020
|
Pattern formation in multiphase models of chemotactic cell aggregation. Zbl 1404.92035
Green, J. E. F.; Whiteley, J. P.; Oliver, J. M.; Byrne, H. M.; Waters, S. L. |
|
2018
|
The effect of weak inertia in rotating high-aspect-ratio vessel bioreactors. Zbl 1421.76278
Dalwadi, Mohit P.; Chapman, S. Jonathan; Oliver, James M.; Waters, Sarah L. |
|
2018
|
Inducing chondrogenesis in MSC/chondrocyte co-cultures using exogenous TGF-\(\beta\): a mathematical model. Zbl 1397.92079
Chen, Michael J.; Whiteley, Jonathan P.; Please, Colin P.; Schwab, Andrea; Ehlicke, Franziska; Waters, Sarah L.; Byrne, Helen M. |
|
2018
|
Bifurcations and dynamics emergent from lattice and continuum models of bioactive porous media. Zbl 1402.35285
Krause, Andrew L.; Beliaev, Dmitry; Van Gorder, Robert A.; Waters, Sarah L. |
|
2018
|
Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034
Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain |
|
2017
|
Mathematical modelling of cell layer growth in a hollow fibre bioreactor. Zbl 1369.92029
Chapman, Lloyd A. C.; Whiteley, Jonathan P.; Byrne, Helen M.; Waters, Sarah L.; Shipley, Rebecca J. |
|
2017
|
Axonal buckling following stretch injury. Zbl 1375.92009
Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain |
|
2017
|
On the boundary layer structure near a highly permeable porous interface. Zbl 1422.76050
Dalwadi, Mohit P.; Chapman, S. Jonathan; Waters, Sarah L.; Oliver, James M. |
|
2016
|
Approaches to myosin modelling in a two-phase flow model for cell motility. Zbl 1373.92022
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; Oliver, J. M. |
|
2016
|
The influence of hydrostatic pressure on tissue engineered bone development. Zbl 1343.92038
Neßler, K. H. L.; Henstock, J. R.; El Haj, A. J.; Waters, S. L.; Whiteley, J. P.; Osborne, J. M. |
|
2016
|
Dispersion-enhanced solute transport in a cell-seeded hollow fibre membrane bioreactor. Zbl 1360.76363
Pearson, Natalie C.; Shipley, Rebecca J.; Waters, Sarah L.; Oliver, James M. |
|
2016
|
A multiscale analysis of nutrient transport and biological tissue growth in vitro. Zbl 1325.92061
O’Dea, R. D.; Nelson, M. R.; El Haj, A. J.; Waters, S. L.; Byrne, H. M. |
|
2015
|
On a poroviscoelastic model for cell crawling. Zbl 1309.92028
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; Oliver, J. M. |
|
2015
|
Global contraction or local growth, bleb shape depends on more than just cell structure. Zbl 1343.92140
Woolley, Thomas E.; Gaffney, Eamonn A.; Oliver, James M.; Waters, Sarah L.; Baker, Ruth E.; Goriely, Alain |
|
2015
|
Multiphase modelling of the influence of fluid flow and chemical concentration on tissue growth in a hollow fibre membrane bioreactor. Zbl 1345.92095
Pearson, Natalie C.; Shipley, Rebecca J.; Waters, Sarah L.; Oliver, James M. |
|
2014
|
Three mechanical models for blebbing and multi-blebbing. Zbl 1330.92020
Woolley, Thomas E.; Gaffney, Eamonn A.; Waters, Sarah L.; Oliver, James M.; Baker, Ruth E.; Goriely, Alain |
|
2014
|
The effect of membrane-regulated actin polymerization on a two-phase flow model for cell motility. Zbl 1328.92025
Kimpton, Laura S.; Whiteley, Jonathan P.; Waters, Sarah L.; Oliver, James M. |
|
2014
|
A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor. Zbl 1318.92013
Shakeel, Muhammad; Matthews, Paul C.; Graham, Richard S.; Waters, Sarah L. |
|
2013
|
Multiple travelling-wave solutions in a minimal model for cell motility. Zbl 1272.92005
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; King, J. R.; Oliver, J. M. |
|
2013
|
The interplay between tissue growth and scaffold degradation in engineered tissue constructs. Zbl 1278.92021
O’Dea, R. D.; Osborne, J. M.; El Haj, A. J.; Byrne, H. M.; Waters, S. L. |
|
2013
|
Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold. Zbl 1308.92033
Pohlmeyer, J. V.; Waters, S. L.; Cummings, L. J. |
|
2013
|
Steady symmetric low-Reynolds-number flow past a film-coated cylinder. Zbl 1322.76009
Band, L. R.; Oliver, J. M.; Waters, S. L.; Riley, D. S. |
|
2013
|
Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications. Zbl 1252.92019
Shipley, Rebecca J.; Waters, Sarah L. |
|
2012
|
On the liquid lining in fluid-conveying curved tubes. Zbl 1250.76193
Hazel, Andrew L.; Heil, Matthias; Waters, Sarah L.; Oliver, James M. |
|
2012
|
An asymptotic theory for the re-equilibration of a micellar surfactant solution. Zbl 1246.82090
Griffiths, I. M.; Bain, C. D.; Breward, C. J. W.; Chapman, S. J.; Howell, P. D.; Waters, S. L. |
|
2012
|
The energetics of flow through a rapidly oscillating tube with slowly varying amplitude. Zbl 1228.76061
Whittaker, Robert J.; Heil, Matthias; Waters, Sarah L. |
|
2011
|
A multiphase model for tissue construct growth in a perfusion bioreactor. Zbl 1190.92008
O’Dea, R. D.; Waters, S. L.; Byrne, H. M. |
|
2010
|
Sloshing and slamming oscillations in a collapsible channel flow. Zbl 1205.76077
Stewart, Peter S.; Heil, Matthias; Waters, Sarah L.; Jensen, Oliver E. |
|
2010
|
Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes. Zbl 1211.74119
Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L. |
|
2010
|
Non-local models for the formation of hepatocyte-stellate cell aggregates. Zbl 1410.92025
Green, J. E. F.; Waters, S. L.; Whiteley, J. P.; Edelstein-Keshet, L.; Shakesheff, K. M.; Byrne, H. M. |
|
2010
|
The energetics of flow through a rapidly oscillating tube. I: General theory. Zbl 1189.76133
Whittaker, Robert J.; Waters, Sarah L.; Jensen, Oliver E.; Boyle, Jonathan; Heil, Matthias |
|
2010
|
The energetics of flow through a rapidly oscillating tube. II: Application to an elliptical tube. Zbl 1189.76132
Whittaker, Robert J.; Heil, Matthias; Boyle, Jonathan; Jensen, Oliver E.; Waters, Sarah L. |
|
2010
|
A rational derivation of a tube law from shell theory. Zbl 1256.74017
Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L. |
|
2010
|
Local instabilities of flow in a flexible channel: asymmetric flutter driven by a weak critical layer. Zbl 1188.76152
Stewart, Peter S.; Waters, Sarah L.; Jensen, Oliver E. |
|
2010
|
Local and global instabilities of flow in a flexible-walled channel. Zbl 1167.76329
Stewart, Peter S.; Waters, Sarah L.; Jensen, Oliver E. |
|
2009
|
Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038
Pitt-Francis, Joe; Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Fletcher, Alexander G.; Mirams, Gary R.; Murray, Philip; Osborne, James M.; Walter, Alex; Chapman, S. Jon; Garny, Alan; Van Leeuwen, Ingeborg M. M.; Maini, Philip K.; Rodríguez, Blanca; Waters, Sarah L.; Whiteley, Jonathan P.; Byrne, Helen M.; Gavaghan, David J. |
|
2009
|
Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor. Zbl 1400.92205
Whittaker, Robert J.; Booth, Richard; Dyson, Rosemary; Bailey, Clare; Parsons Chini, Louise; Naire, Shailesh; Payvandi, Sevil; Rong, Zimei; Woollard, Hannah; Cummings, Linda J.; Waters, Sarah L.; Mawasse, Lina; Chaudhuri, Julian B.; Ellis, Marianne J.; Michael, Vipin; Kuiper, Nicola J.; Cartmell, Sarah |
|
2009
|
A mathematical model of liver cell aggregation in vitro. Zbl 1163.92013
Green, J. E. F.; Waters, S. L.; Shakesheff, K. M.; Byrne, H. M. |
|
2009
|
Annular thin-film flows driven by azimuthal variations in interfacial tension. Zbl 1197.76018
Band, L. R.; Riley, D. S.; Matthews, P. C.; Oliver, J. M.; Waters, S. L. |
|
2009
|
Flow dynamics in a stented ureter. Zbl 1157.92315
Siggers, Jennifer H.; Waters, Sarah; Wattis, Jonathan; Cummings, Linda |
|
2009
|
Mathematical modelling of tissue-engineered angiogenesis. Zbl 1175.92028
Lemon, Greg; Howard, Daniel; Tomlinson, Matthew J.; Buttery, Lee D.; Rose, Felicity R. A. J.; Waters, Sarah L.; King, John R. |
|
2009
|
A two-fluid model for tissue growth within a dynamic flow environment. Zbl 1256.92015
O’Dea, R. D.; Waters, S. L.; Byrne, H. M. |
|
2008
|
Unsteady flows in pipes with finite curvature. Zbl 1151.76644
Siggers, J. H.; Waters, S. L. |
|
2008
|
How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. Zbl 1151.76418
Heil, Matthias; Waters, Sarah L. |
|
2008
|
Mathematical challenges in integrative physiology. Zbl 1180.92018
Brook, B. S.; Waters, S. L. |
|
2008
|
Shock formation and non-linear dispersion in a microvascular capillary network. Zbl 1146.92014
Pop, S. R.; Richardson, G.; Waters, S. L.; Jensen, O. E. |
|
2007
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Mathematical modelling of human mesenchymal stem cell proliferation and differentiation inside artificial porous scaffolds. Zbl 1453.92044
Lemon, Greg; Waters, Sarah L.; Rose, Felicity R. A. J.; King, John R. |
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2007
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Tissue growth in a rotating bioreactor. II: Fluid flow and nutrient transport problems. Zbl 1149.92013
Cummings, L. J.; Waters, S. L. |
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2007
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Transient elastohydrodynamic drag on a particle moving near a deformable wall. Zbl 1105.76019
Weekley, S. J.; Waters, S. L.; Jensen, O. E. |
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2006
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Transverse flows in rapidly oscillating elastic cylindrical shells. Zbl 1082.74015
Heil, Matthias; Waters, Sarah L. |
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2006
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Tissue growth in a rotating bioreactor. I: Mechanical stability. Zbl 1117.92020
Waters, S. L.; Cummings, L. J.; Shakesheff, K. M.; Rose, F. R. A. J. |
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2006
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Flow and solute uptake in a twisting tube. Zbl 1098.76020
O’Dea, R. D.; Waters, S. L. |
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2006
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Steady flows in pipes with finite curvature. Zbl 1187.76489
Siggers, J. H.; Waters, S. L. |
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2005
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Coriolis effects in a rotating Hele-Shaw cell. Zbl 1187.76553
Waters, S. L.; Cummings, L. J. |
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2005
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The effect of ureteric stents of urine flow. Reflux. Zbl 1060.92028
Cummings, L. J.; Waters, S. L.; Wattis, J. A. D.; Graham, S. J. |
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2004
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Flow in a wavy-walled channel lined with a poroelastic layer. Zbl 1063.76689
Wei, H. H.; Waters, S. L.; Liu, S. Q.; Grotberg, J. B. |
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2003
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The propagation of a surfactant laden liquid plug in a capillary tube. Zbl 1184.76586
Waters, S. L.; Grotberg, J. B. |
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2002
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Solute uptake through the walls of a pulsating channel. Zbl 0985.76083
Waters, S. L. |
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2001
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Flow in an elastic tube subject to prescribed forcing: A model of umbilical venous flow. Zbl 0994.92017
Waters, S. L.; Guiot, C. |
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2001
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Numerical computation of the steady secondary flow in a tube with time-dependent curvature. Zbl 0997.76103
van Meerveld, J.; Waters, S. L. |
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2001
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The propagation of a liquid bolus along a liquid-lined flexible tube. Zbl 0984.76100
Howell, P. D.; Waters, S. L.; Grotberg, J. B. |
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2000
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Oscillatory flow in a tube of time-dependent curvature. I: Perturbation to flow in a stationary curved tube. Zbl 0932.76099
Waters, S. L.; Pedley, T. J. |
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1999
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Flow in a tube with non-uniform, time-dependent curvature: Governing equations and simple examples. Zbl 0889.76099
Lynch, D. G.; Waters, S. L.; Pedley, T. J. |
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1996
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