Sarah L Waters

Summary

Affiliation: University of Oxford
Country: UK

Publications

  1. doi request reprint Theoretical models for coronary vascular biomechanics: progress & challenges
    Sarah L Waters
    Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24 29 St Giles, Oxford, OX1 3LB, UK
    Prog Biophys Mol Biol 104:49-76. 2011
  2. ncbi request reprint Ureteric stents: investigating flow and encrustation
    S L Waters
    Division of Applied Mathematics, University of Nottingham, Nottingham, UK
    Proc Inst Mech Eng H 222:551-61. 2008
  3. doi request reprint A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor
    Muhammad Shakeel
    School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK
    Math Med Biol 30:21-44. 2013
  4. pmc A strategy to determine operating parameters in tissue engineering hollow fiber bioreactors
    R J Shipley
    Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24 29 St Giles, Oxford OX1 3LB, UK
    Biotechnol Bioeng 108:1450-61. 2011
  5. ncbi request reprint The effect of ureteric stents on urine flow: reflux
    L J Cummings
    School of Mathematical Sciences, University of Nottingham, NG7 2RD Nottingham, UK
    J Math Biol 49:56-82. 2004
  6. doi request reprint Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications
    Rebecca J Shipley
    Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24 29 St Giles, Oxford OX1 3LB, UK
    Math Med Biol 29:329-59. 2012
  7. doi request reprint Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model
    Greg Lemon
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, UK
    Biomech Model Mechanobiol 10:539-58. 2011
  8. doi request reprint An integrative computational model for intestinal tissue renewal
    I M M van Leeuwen
    School of Mathematical Sciences, University of Nottingham, Nottingham, UK
    Cell Prolif 42:617-36. 2009
  9. doi request reprint Modelling crystal aggregation and deposition in the catheterised lower urinary tract
    L R Band
    School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK
    J Math Biol 59:809-40. 2009
  10. ncbi request reprint In situ monitoring of 3D in vitro cell aggregation using an optical imaging system
    N B E Sawyer
    Applied Optics Group, School of Electrical and Electronic Engineering, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Biotechnol Bioeng 100:159-67. 2008

Collaborators

Detail Information

Publications14

  1. doi request reprint Theoretical models for coronary vascular biomechanics: progress & challenges
    Sarah L Waters
    Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24 29 St Giles, Oxford, OX1 3LB, UK
    Prog Biophys Mol Biol 104:49-76. 2011
    ....
  2. ncbi request reprint Ureteric stents: investigating flow and encrustation
    S L Waters
    Division of Applied Mathematics, University of Nottingham, Nottingham, UK
    Proc Inst Mech Eng H 222:551-61. 2008
    ..An interdisciplinary approach is adopted, involving a combination of theoretical investigations and novel experiments...
  3. doi request reprint A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor
    Muhammad Shakeel
    School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK
    Math Med Biol 30:21-44. 2013
    ..We suggest various seeding strategies and scaffold designs to improve the cell distribution and total cell yield in the engineered tissue construct...
  4. pmc A strategy to determine operating parameters in tissue engineering hollow fiber bioreactors
    R J Shipley
    Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24 29 St Giles, Oxford OX1 3LB, UK
    Biotechnol Bioeng 108:1450-61. 2011
    ..The strategy presented utilizes both analytical and numerical approaches and can be applied to any cell type with known oxygen transport properties and uptake kinetics...
  5. ncbi request reprint The effect of ureteric stents on urine flow: reflux
    L J Cummings
    School of Mathematical Sciences, University of Nottingham, NG7 2RD Nottingham, UK
    J Math Biol 49:56-82. 2004
    ..We find that, in the scenarios we consider, the highly-permeable stent gives rise to less total reflux than the impermeable one...
  6. doi request reprint Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications
    Rebecca J Shipley
    Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24 29 St Giles, Oxford OX1 3LB, UK
    Math Med Biol 29:329-59. 2012
    ..Finally, results for chondrocyte and cardiomyocyte cell populations are presented, typifying two extremes of oxygen uptake rates...
  7. doi request reprint Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model
    Greg Lemon
    School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, UK
    Biomech Model Mechanobiol 10:539-58. 2011
    ..The model predictions are compared against measurements of the extent of membrane growth through the pores as a function of time for pores with different dimensions...
  8. doi request reprint An integrative computational model for intestinal tissue renewal
    I M M van Leeuwen
    School of Mathematical Sciences, University of Nottingham, Nottingham, UK
    Cell Prolif 42:617-36. 2009
    ..Here we propose a new multiscale model for crypt dynamics that links phenomena occurring at the subcellular, cellular and tissue levels of organisation...
  9. doi request reprint Modelling crystal aggregation and deposition in the catheterised lower urinary tract
    L R Band
    School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK
    J Math Biol 59:809-40. 2009
    ..We investigate the effect of inhibitor particles on the amount of deposition. For all parameter values, we find that crystals deposit along the full length of the channel, with maximum deposition close to the channel's entrance...
  10. ncbi request reprint In situ monitoring of 3D in vitro cell aggregation using an optical imaging system
    N B E Sawyer
    Applied Optics Group, School of Electrical and Electronic Engineering, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Biotechnol Bioeng 100:159-67. 2008
    ..These results provide the basis for the development of an automated feedback system to control the growth of 3D cell cultures for repeatable, reliable, and quality controlled experimentation...
  11. ncbi request reprint Tissue growth in a rotating bioreactor. Part II: fluid flow and nutrient transport problems
    L J Cummings
    School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK
    Math Med Biol 24:169-208. 2007
    ..Finally, we discuss our results in the light of possible experimental bioreactor set-ups. We note the present model's limitations, and consider how our work could be extended and improved to inform experimental protocols in future...
  12. ncbi request reprint T-cell motility in the early stages of the immune response modeled as a random walk amongst targets
    S P Preston
    Centre for Mathematical Medicine, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
    Phys Rev E Stat Nonlin Soft Matter Phys 74:011910. 2006
    ..We also use simulations to compare a T cell which re-orients isotropically with a T cell which turns according to an experimentally observed distribution and find that the effects of anisotropy on the solution are small...
  13. ncbi request reprint Tissue growth in a rotating bioreactor. Part I: mechanical stability
    S L Waters
    Division of Applied Mathematics, University of Nottingham, Nottingham, NG7 2RD, UK
    Math Med Biol 23:311-37. 2006
    ....
  14. ncbi request reprint A mathematical model for the laser treatment of heart disease
    S L Waters
    Section of Theoretical Mechanics, Division of Applied Mathematics, School of Mathematical Sciences, University Park, University of Nottingham, NG7 2RD, UK
    J Biomech 37:281-8. 2004
    ..Our results indicate that the tunnel radius has a significant effect on the degree of tissue reperfusion and predictions for the optimum tunnel spacing are made...