Edit Profile (opens in new tab) Waters, Sarah Louise Co-Author Distance Author ID: waters.sarah-l Published as: Waters, S. L.; Waters, Sarah L.; Waters, Sarah more...less Homepage: https://people.maths.ox.ac.uk/waters/Waters/Dr_Sarah_Waters.html External Links: MGP · ORCID · Wikidata · Google Scholar · Twitter · dblp · GND Documents Indexed: 80 Publications since 1996, including 2 Additional arXiv Preprints Biographic References: 1 Publication Co-Authors: 114 Co-Authors with 79 Joint Publications 2,040 Co-Co-Authors all top 5 Co-Authors 1 single-authored 15 Byrne, Helen Mary 13 Whiteley, Jonathan P. 12 Oliver, James M. 9 Heil, Matthias 9 Jensen, Oliver E. 8 Cummings, Linda J. 6 Chapman, Stephen Jonathan 6 Kimpton, Laura S. 6 Whittaker, Robert James 5 Moulton, Derek E. 5 O’Dea, Reuben D. 4 Goriely, Alain 4 Shipley, Rebecca J. 4 Turney, B. W. 3 Baker, Ruth Elizabeth 3 Band, Leah R. 3 Dalwadi, Mohit P. 3 El Haj, A. J. 3 Green, J. Edward F. 3 Grotberg, James B. 3 King, John Robert 3 Osborne, James M. 3 Please, Colin Peter 3 Rose, Felicity R. A. J. 3 Shakesheff, Kevin M. 3 Siggers, Jennifer H. 3 Stewart, Peter S. 3 Wattis, Jonathan A. D. 2 Beliaev, Dmitri B. 2 Boyle, Jonathan W. 2 Chen, Michael J. 2 Ehlicke, Franziska 2 Gaffney, Eamonn A. 2 Howell, Peter D. 2 Krause, Andrew L. 2 Lang, Georgina E. 2 Lemon, Greg 2 Matthews, Paul Charles 2 Pearson, Natalie C. 2 Pedley, Timothy J. 2 Riley, David S. 2 Schwab, Andrea 2 van Gorder, Robert Ashton 2 Vella, Dominic 2 Woolley, Thomas E. 1 Apodaca, G. 1 Bailey, Clare 1 Bain, Colin D. 1 Bell, Christopher G. 1 Bernabeu, Miguel O. 1 Booth, Richard F. 1 Bordas, Rafel 1 Brook, Bindi S. 1 Buttery, Lee D. 1 Cartmell, Sarah 1 Castilho, Marcos Alexandre 1 Castrejón-Pita, Alfonso A. 1 Celora, Giulia L. 1 Chapman, Lloyd A. C. 1 Chaudhuri, Julian B. 1 Cooper, Jonathan E. 1 Dyson, Rosemary J. 1 Edelstein-Keshet, Leah 1 Ellis, Marianne J. 1 Fletcher, Alexander G. 1 Garny, Alan 1 Gavaghan, David J. 1 Graham, Richard S. 1 Graham, Simon J. 1 Griffiths, Ian M. 1 Guiot, Caterina 1 Hazel, Andrew L. 1 Hennessy, Matthew G. 1 Henstock, J. R. 1 Hewitt, Ian J. 1 Kuiper, Nicola J. 1 Lynch, D. G. 1 Maini, Philip Kumar 1 Malda, J. 1 Mawasse, Lina 1 Michael, Vipin 1 Mirams, Gary R. 1 Münch, Andreas 1 Murray, Philip J. 1 Naire, Shailesh 1 Neßler, Katherine H. L. 1 Parsons Chini, Louise 1 Pathmanathan, Pras 1 Payvandi, Sevil 1 Pitt-Francis, Joe M. 1 Pohlmeyer, J. V. 1 Polonchuk, Liudmila 1 Pop, Şerban Rareş 1 Richardson, Giles W. 1 Rodríguez, Blanca 1 Rong, Zimei 1 Rouse, L. 1 Ruiz-Baier, Ricardo 1 Shakeel, Muhammad 1 Sulzer, Valentin ...and 14 more Co-Authors all top 5 Serials 18 Journal of Fluid Mechanics 13 Mathematical Medicine and Biology 9 Journal of Theoretical Biology 5 Journal of Mathematical Biology 5 Quarterly Journal of Mechanics and Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Physics of Fluids 3 IMA Journal of Applied Mathematics 3 European Journal of Applied Mathematics 2 Mathematical Biosciences 2 Bulletin of Mathematical Biology 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Physica D 1 Applied Mathematics Letters 1 Journal of Elasticity 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Theoretical Medicine 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids all top 5 Fields 48 Biology and other natural sciences (92-XX) 40 Fluid mechanics (76-XX) 20 Partial differential equations (35-XX) 16 Mechanics of deformable solids (74-XX) 7 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 387 times in 261 Documents Cited by ▼ Year ▼ Local and global instabilities of flow in a flexible-walled channel. Zbl 1167.76329 Stewart, Peter S.; Waters, Sarah L.; Jensen, Oliver E. 29 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. 22 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. 16 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. 15 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. 14 2015 Sloshing and slamming oscillations in a collapsible channel flow. Zbl 1205.76077 Stewart, Peter S.; Heil, Matthias; Waters, Sarah L.; Jensen, Oliver E. 13 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. 12 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. 11 2003 Steady flows in pipes with finite curvature. Zbl 1187.76489 Siggers, J. H.; Waters, S. L. 10 2005 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 10 2010 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. 10 2013 Unsteady flows in pipes with finite curvature. Zbl 1151.76644 Siggers, J. H.; Waters, S. L. 9 2008 The propagation of a liquid bolus along a liquid-lined flexible tube. Zbl 0984.76100 Howell, P. D.; Waters, S. L.; Grotberg, J. B. 9 2000 Transient elastohydrodynamic drag on a particle moving near a deformable wall. Zbl 1105.76019 Weekley, S. J.; Waters, S. L.; Jensen, O. E. 9 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. 9 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. 9 2010 How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. Zbl 1151.76418 Heil, Matthias; Waters, Sarah L. 8 2008 A rational derivation of a tube law from shell theory. Zbl 1256.74017 Whittaker, Robert J.; Heil, Matthias; Jensen, Oliver E.; Waters, Sarah L. 8 2010 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. 8 1999 Transverse flows in rapidly oscillating elastic cylindrical shells. Zbl 1082.74015 Heil, Matthias; Waters, Sarah L. 8 2006 The propagation of a surfactant laden liquid plug in a capillary tube. Zbl 1184.76586 Waters, S. L.; Grotberg, J. B. 7 2002 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. 7 2007 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 7 2009 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. 6 2006 Solute uptake through the walls of a pulsating channel. Zbl 0985.76083 Waters, S. L. 6 2001 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. 6 2010 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. 6 2014 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. 6 2020 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. 6 2012 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. 5 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. 5 2004 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. 5 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. 5 2020 Coriolis effects in a rotating Hele-Shaw cell. Zbl 1187.76553 Waters, S. L.; Cummings, L. J. 4 2005 Tissue growth in a rotating bioreactor. II: Fluid flow and nutrient transport problems. Zbl 1149.92013 Cummings, L. J.; Waters, S. L. 4 2007 On the liquid lining in fluid-conveying curved tubes. Zbl 1250.76193 Hazel, Andrew L.; Heil, Matthias; Waters, Sarah L.; Oliver, James M. 4 2012 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. 3 2009 Mathematical challenges in integrative physiology. Zbl 1180.92018 Brook, B. S.; Waters, S. L. 3 2008 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. 3 2016 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. 3 2013 Effects of geometry on resistance in elliptical pipe flows. Zbl 1460.76961 Williams, J. G.; Turney, B. W.; Moulton, D. E.; Waters, S. L. 3 2020 Coupling Stokes flow with inhomogeneous poroelasticity. Zbl 1507.76210 Taffetani, Matteo; Ruiz-Baier, Ricardo; Waters, Sarah 3 2021 Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034 Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain 3 2017 The energetics of flow through a rapidly oscillating tube with slowly varying amplitude. Zbl 1228.76061 Whittaker, Robert J.; Heil, Matthias; Waters, Sarah L. 2 2011 Numerical computation of the steady secondary flow in a tube with time-dependent curvature. Zbl 0997.76103 van Meerveld, J.; Waters, S. L. 2 2001 Flow in an elastic tube subject to prescribed forcing: A model of umbilical venous flow. Zbl 0994.92017 Waters, S. L.; Guiot, C. 2 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. 2 2009 Flow and solute uptake in a twisting tube. Zbl 1098.76020 O’Dea, R. D.; Waters, S. L. 2 2006 Flow dynamics in a stented ureter. Zbl 1157.92315 Siggers, Jennifer H.; Waters, Sarah; Wattis, Jonathan; Cummings, Linda 2 2009 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 2 2014 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. 2 2016 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. 2 2007 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. 2 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. 2 2013 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. 2 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. 1 2018 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. 1 2012 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. 1 1996 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. 1 2014 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 1 2015 Axonal buckling following stretch injury. Zbl 1375.92009 Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain 1 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. 1 2017 On a poroviscoelastic model for cell crawling. Zbl 1309.92028 Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; Oliver, J. M. 1 2015 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. 1 2020 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. 1 2016 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. 1 2020 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. 1 2021 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. 1 2018 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. 1 2018 Coupling Stokes flow with inhomogeneous poroelasticity. Zbl 1507.76210 Taffetani, Matteo; Ruiz-Baier, Ricardo; Waters, Sarah 3 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. 1 2021 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. 6 2020 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. 5 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. 3 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. 1 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. 1 2020 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. 2 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. 1 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. 1 2018 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. 1 2018 Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034 Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain 3 2017 Axonal buckling following stretch injury. Zbl 1375.92009 Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain 1 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. 1 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. 3 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. 2 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. 1 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. 14 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 1 2015 On a poroviscoelastic model for cell crawling. Zbl 1309.92028 Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; Oliver, J. M. 1 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. 6 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 2 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. 1 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. 10 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. 5 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. 3 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. 2 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. 2 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. 6 2012 On the liquid lining in fluid-conveying curved tubes. Zbl 1250.76193 Hazel, Andrew L.; Heil, Matthias; Waters, Sarah L.; Oliver, James M. 4 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. 1 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. 2 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. 16 2010 Sloshing and slamming oscillations in a collapsible channel flow. Zbl 1205.76077 Stewart, Peter S.; Heil, Matthias; Waters, Sarah L.; Jensen, Oliver E. 13 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. 12 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 10 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. 9 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. 9 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. 8 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. 6 2010 Local and global instabilities of flow in a flexible-walled channel. Zbl 1167.76329 Stewart, Peter S.; Waters, Sarah L.; Jensen, Oliver E. 29 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. 22 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 7 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. 5 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. 3 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. 2 2009 Flow dynamics in a stented ureter. Zbl 1157.92315 Siggers, Jennifer H.; Waters, Sarah; Wattis, Jonathan; Cummings, Linda 2 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. 15 2008 Unsteady flows in pipes with finite curvature. Zbl 1151.76644 Siggers, J. H.; Waters, S. L. 9 2008 How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. Zbl 1151.76418 Heil, Matthias; Waters, Sarah L. 8 2008 Mathematical challenges in integrative physiology. Zbl 1180.92018 Brook, B. S.; Waters, S. L. 3 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. 7 2007 Tissue growth in a rotating bioreactor. II: Fluid flow and nutrient transport problems. Zbl 1149.92013 Cummings, L. J.; Waters, S. L. 4 2007 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. 2 2007 Transient elastohydrodynamic drag on a particle moving near a deformable wall. Zbl 1105.76019 Weekley, S. J.; Waters, S. L.; Jensen, O. E. 9 2006 Transverse flows in rapidly oscillating elastic cylindrical shells. Zbl 1082.74015 Heil, Matthias; Waters, Sarah L. 8 2006 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. 6 2006 Flow and solute uptake in a twisting tube. Zbl 1098.76020 O’Dea, R. D.; Waters, S. L. 2 2006 Steady flows in pipes with finite curvature. Zbl 1187.76489 Siggers, J. H.; Waters, S. L. 10 2005 Coriolis effects in a rotating Hele-Shaw cell. Zbl 1187.76553 Waters, S. L.; Cummings, L. J. 4 2005 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. 5 2004 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. 11 2003 The propagation of a surfactant laden liquid plug in a capillary tube. Zbl 1184.76586 Waters, S. L.; Grotberg, J. B. 7 2002 Solute uptake through the walls of a pulsating channel. Zbl 0985.76083 Waters, S. L. 6 2001 Numerical computation of the steady secondary flow in a tube with time-dependent curvature. Zbl 0997.76103 van Meerveld, J.; Waters, S. L. 2 2001 Flow in an elastic tube subject to prescribed forcing: A model of umbilical venous flow. Zbl 0994.92017 Waters, S. L.; Guiot, C. 2 2001 The propagation of a liquid bolus along a liquid-lined flexible tube. Zbl 0984.76100 Howell, P. D.; Waters, S. L.; Grotberg, J. B. 9 2000 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. 8 1999 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. 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 535 Authors 30 Waters, Sarah Louise 13 Byrne, Helen Mary 12 Heil, Matthias 10 Whiteley, Jonathan P. 9 Simpson, Matthew J. 8 Grotberg, James B. 8 Jensen, Oliver E. 8 O’Dea, Reuben D. 7 Osborne, James M. 7 Stewart, Peter S. 6 Dalwadi, Mohit P. 6 Green, J. Edward F. 6 McCue, Scott William 6 Oliver, James M. 5 Fujioka, Hideki 5 Kimpton, Laura S. 5 Pedley, Timothy J. 5 Ruiz-Baier, Ricardo 5 Sekhar, G. P. Raja 5 Shipley, Rebecca J. 5 Whittaker, Robert James 4 Chapman, Stephen Jonathan 4 Collis, Joe 4 Cummings, Linda J. 4 Dey, Bibaswan 4 Fletcher, Alexander G. 4 Geddes, John B. 4 Griffiths, Ian M. 4 Hazel, Andrew L. 4 Hubbard, Matthew E. 4 Maini, Philip Kumar 4 Penta, Raimondo 4 Please, Colin Peter 4 Tam, Alexander K. Y. 3 Baker, Ruth Elizabeth 3 Boyle, Jonathan W. 3 Christov, Ivan C. 3 Clarke, Richard J. 3 Denier, James P. 3 Dyson, Rosemary J. 3 Gaffney, Eamonn A. 3 Karmakar, Timir 3 Miller, Laura A. 3 Morganti, Simone 3 Ovenden, Nicholas C. 3 Putkaradze, Vakhtang 3 Smith, Frank T. 3 Takayama, Shuichi 2 Arthurs, Christopher J. 2 Bagchi, Prosenjit 2 Balmforth, Neil J. 2 Band, Leah R. 2 Bergemann, Nico 2 Bertram, Christopher D. 2 Billingham, John 2 Binder, Benjamin James 2 Bishop, Martin J. 2 Bouchnita, Anass 2 Brook, Bindi S. 2 Cappelletti, Daniele 2 Carr, Russell T. 2 Dalal, D. C. 2 de Tullio, Marco Donato 2 Ebrahimi, Saman 2 Edelstein-Keshet, Leah 2 Edwards, Madeline M. 2 El-Hachem, Maud 2 El Haj, A. J. 2 Gay-Balmaz, François 2 Gómez-Vargas, Bryan 2 Grasselli, Maurizio 2 Graudenzi, Alex 2 Hellander, Andreas 2 Hewitt, Richard E. 2 Holden, E. C. 2 Ishimoto, Kenta 2 Juel, Anne 2 Karst, Nathaniel J. 2 King, John Robert 2 Krause, Andrew L. 2 Logvenkov, S. A. 2 Long, D. S. 2 Macaskill, Charlie 2 Malda, J. 2 Mardal, Kent-Andre 2 Meirmanov, Anvarbek Mukatovich 2 Mirams, Gary R. 2 Moreau, Clément 2 Moulton, Derek E. 2 Myerscough, Mary R. 2 Nitti, Alessandro 2 Pasqualini, Francesco S. 2 Pihler-Puzović, Draga 2 Pohlmeyer, J. V. 2 Reali, Alessandro 2 Salez, Thomas 2 Shubov, Marianna A. 2 Stone, Howard Alvin 2 Storey, Brian D. 2 Torre, Michele ...and 435 more Authors all top 5 Cited in 62 Serials 69 Journal of Fluid Mechanics 22 Journal of Theoretical Biology 20 Bulletin of Mathematical Biology 14 Physics of Fluids 9 Physica D 8 Journal of Mathematical Biology 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Computational Physics 5 Journal of Engineering Mathematics 4 Acta Mechanica 4 European Journal of Applied Mathematics 4 European Journal of Mechanics. B. Fluids 4 The ANZIAM Journal 3 Fluid Dynamics 3 Mathematical Biosciences 3 Meccanica 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Applied Mathematical Modelling 3 SIAM Journal on Scientific Computing 2 Computers & Mathematics with Applications 2 International Journal of Engineering Science 2 International Journal for Numerical Methods in Fluids 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 2 Communications in Numerical Methods in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computational & Mathematical Methods in Medicine 2 Mathematical Modelling of Natural Phenomena 1 Applicable Analysis 1 Nonlinearity 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Applied Mathematics and Optimization 1 International Journal of Mathematics and Mathematical Sciences 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Journal of Scientific Computing 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Chaos 1 European Journal of Mechanics. A. Solids 1 Journal of Applied Mathematics 1 Sādhanā 1 SIAM Journal on Applied Dynamical Systems 1 Mathematical Biosciences and Engineering 1 Proceedings of the Steklov Institute of Mathematics 1 International Journal of Biomathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Evolution Equations and Control Theory 1 Journal of Mathematical Modeling all top 5 Cited in 20 Fields 157 Fluid mechanics (76-XX) 139 Biology and other natural sciences (92-XX) 71 Mechanics of deformable solids (74-XX) 54 Partial differential equations (35-XX) 18 Numerical analysis (65-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Computer science (68-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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