Sarah L Waters
Affiliation: University of Oxford
- Ureteric stents: investigating flow and encrustationS 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...
- Theoretical models for coronary vascular biomechanics: progress & challengesSarah 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....
- A strategy to determine operating parameters in tissue engineering hollow fiber bioreactorsR 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...
- The effect of ureteric stents on urine flow: refluxL 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...
- Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical modelGreg 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...
- T-cell motility in the early stages of the immune response modeled as a random walk amongst targetsS 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...
- Tissue growth in a rotating bioreactor. Part II: fluid flow and nutrient transport problemsL 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...
- In situ monitoring of 3D in vitro cell aggregation using an optical imaging systemN 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...
- Tissue growth in a rotating bioreactor. Part I: mechanical stabilityS L Waters
Division of Applied Mathematics, University of Nottingham, Nottingham, NG7 2RD, UK
Math Med Biol 23:311-37. 2006....
- Modelling crystal aggregation and deposition in the catheterised lower urinary tractL 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...
- An integrative computational model for intestinal tissue renewalI 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...
- A mathematical model for the laser treatment of heart diseaseS 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...