Dr Sarah Waters

Publications

A full list of Dr Waters' publications can be found online.

B.S Brook and S.L. Waters, ‘Mathematical challenges in integrative physiology’, J. Math. Biol., 56 (2008), 893-96
M. Heil and S.L. Waters, ‘How rapidly oscillating collapsible tubes extract energy from a viscous mean flow’, J. Fluid Mech., 601 (2008), 199-227
S.L. Waters, K. Heaton, J.H. Siggers, R. Bayston, M. Bishop, L.J. Cummings, D.M. Grant, J.M. Oliver and J.A.D. Wattis, ‘Ureteric stents: Investigating flow and encrustation’, J. Eng. Med. (in press 2008)
J.H. Siggers and S.L. Waters, ‘Unsteady flows in pipes with finite curvature’, J. Fluid Mech., 600 (2008), 133-65
N.B.E. Sawyer, L.K. Worrall, J.A. Crowe, S.L. Waters, K. M. Shakesheff, F.R.A.J. Rose and S.P. Morgan, ‘In situ monitoring of 3D in vitro cell aggregation using an optical imaging system’, Biotech. Bioeng., 100 (2008), 159-67
G. Lemon, S.L. Waters, F.R.A.J. Rose and J.R. King, ‘Mathematical modelling of human mesenchymal stem cell proliferation and differentiation inside three-dimensional artificial porous scaffolds’, J.Theor. Biol. 249 (2007), 543-53
R. Pop, G. Richardson, S.L. Waters and O.E. Jensen, ‘Shock formation and nonlinear dispersion in a microvascular capillary network’, Math. Med. Biol. 24 (2007), 379-400
M. Heil and S.L. Waters, ‘Transverse flows in rapidly oscillating, elastic cylindrical shells’, J. Fluid Mech. 547 (2006), 185–214
L.J. Cummings and S.L. Waters, ‘Tissue growth in a rotating bioreactor. Part II: Flow and nutrient transport problems’, Math. Med. Biol. 24 (2007), 169-208
S.P. Preston, S.L. Waters, OE. Jensen, P.R. Heaton and D.I. Pritchard, ‘T-cell motility in the early stages of the immune response modelled as a random walk amongst targets’, Phys. Rev. E, 74 (2006), 011910
R.D. O’Dea and S.L. Waters, ‘Flow and solute uptake in a twisting tube’, J. Fluid Mech., 562 (2006), 173-82
S.J. Weekley, S.L. Waters and O.E. Jensen, ‘Transient elastohydrodynamic drag on a particle moving near a deformable wall’, Quart. J. Mech. Appl. Math., 59 (2006), 277-300
S.L. Waters, L.J. Cumings, K.M. Shakesheff and F.R.A.J. Rose, ‘Tissue growth in a rotating bioreactor. Part I: Mechanical stability’, Math. Med. Biol., 23 (2006), 311-37
J.H. Siggers and S.L. Waters, ‘Steady flows in pipes with finite curvature’, Phys. Fluids, 17 (2005), 077102
S.L. Waters and L.J. Cummings, ‘Coriolis effects in a rotating Hele-Shaw cell’, Phys. Fluids, 17 (2005), 148101
L.J. Cummings, S.L. Waters, J.A.D. Wattis and S.J. Graham, ‘The effect of ureteric stents on urine flow: Reflux’, J. Math. Biol. 49 (2004), 56-82
S.L. Waters, ‘A mathematical model for the laser treatment of heart disease’, J. Biomech. 37 (2004), 281-88
H.H. Wei, S.L. Waters, S.Q. Lui and J.B. Grotberg, ‘Flow in a wavy-walled channel lined with a poroelastic layer’, J. Fluid Mech. 492 (2003), 23-45

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