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List of works by Sarah L. Waters

A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor

scientific article published on 11 October 2011

A kinetic model of a polyelectrolyte gel undergoing phase separation

scientific article published in 2022

A mathematical model for the laser treatment of heart disease.

scientific article published in March 2004

A mathematical model of liver cell aggregation in vitro.

scientific article published on 18 December 2008

A multiphase model for chemically- and mechanically- induced cell differentiation in a hollow fibre membrane bioreactor: minimising growth factor consumption

scientific article published on 15 August 2015

A multiphase model for tissue construct growth in a perfusion bioreactor.

scientific article published on 5 October 2009

A multiscale analysis of nutrient transport and biological tissue growth in vitro.

scientific article published on 15 October 2014

An integrative computational model for intestinal tissue renewal.

scientific article published on 20 July 2009

Cellular blebs: pressure-driven, axisymmetric, membrane protrusions.

scientific article published on 16 July 2013

Curvature in Biological Systems: Its Quantification, Emergence, and Implications across the Scales

scientific article published in 2023

Definition and validation of operating equations for poly(vinyl alcohol)-poly(lactide-co-glycolide) microfiltration membrane-scaffold bioreactors.

scientific article published on October 2010

Evaluation of the growth environment of a hydrostatic force bioreactor for preconditioning of tissue-engineered constructs

scientific article

Experimental and theoretical modelling of blind-ended vessels within a developing angiogenic plexus.

scientific article published on 15 July 2008

Flow dynamics in a stented ureter

scientific article

Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications

scientific article

Global contraction or local growth, bleb shape depends on more than just cell structure.

scientific article published on 29 April 2015

Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model.

scientific article published on 5 October 2010

Growth-induced buckling of an epithelial layer.

scientific article published on 30 December 2010

In situ monitoring of 3D in vitro cell aggregation using an optical imaging system.

scientific article published on May 2008

Is the Donnan effect sufficient to explain swelling in brain tissue slices?

scientific article

Mathematical challenges in integrative physiology.

scientific article published in June 2008

Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold

scientific article published on 29 January 2013

Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor

scientific article published on 25 October 2008

Mathematical modelling of human mesenchymal stem cell proliferation and differentiation inside artificial porous scaffolds

scientific article published on 28 August 2007

Mathematical modelling of tissue-engineered angiogenesis.

scientific article published on 18 July 2009

Mathematical modelling reveals cellular dynamics within tumour spheroids

scientific article published on 18 August 2020

Mechanics of the brain: perspectives, challenges, and opportunities

scientific article

Modelling crystal aggregation and deposition in the catheterised lower urinary tract.

scientific article published on 27 February 2009

Multiphase modelling of the effect of fluid shear stress on cell yield and distribution in a hollow fibre membrane bioreactor

scientific article published on 12 September 2014

Multiphase modelling of the influence of fluid flow and chemical concentration on tissue growth in a hollow fibre membrane bioreactor

scientific article published on 13 September 2013

Multiple travelling-wave solutions in a minimal model for cell motility

scientific article published on 11 July 2012

Non-local models for the formation of hepatocyte-stellate cell aggregates

scientific article published on 13 August 2010

On a poroviscoelastic model for cell crawling

scientific article published on 8 February 2014

On the predictions and limitations of the Becker-Döring model for reaction kinetics in micellar surfactant solutions.

scientific article published on 27 April 2011

Optimising cell aggregate expansion in a perfused hollow fibre bioreactor via mathematical modelling.

scientific article

Propagation of damage in brain tissue: coupling the mechanics of oedema and oxygen delivery

scientific article

Shock formation and non-linear dispersion in a microvascular capillary network.

scientific article published on 17 October 2007

T-cell motility in the early stages of the immune response modeled as a random walk amongst targets.

scientific article published on 17 July 2006

The EuroPhysiome, STEP and a roadmap for the virtual physiological human

scientific article

The effect of ureteric stents on urine flow: reflux.

scientific article published on 2 January 2004

The energetics of flow through a rapidly oscillating tube with slowly varying amplitude

scientific article published in July 2011

The influence of bioreactor geometry and the mechanical environment on engineered tissues.

scientific article published in May 2010

The influence of hydrostatic pressure on tissue engineered bone development

scientific article

The interplay between tissue growth and scaffold degradation in engineered tissue constructs.

scientific article published on 18 September 2012

Theoretical models for coronary vascular biomechanics: progress & challenges

scientific article (publication date: 2011)

Tissue growth in a rotating bioreactor. Part I: mechanical stability

scientific article

Tissue growth in a rotating bioreactor. Part II: fluid flow and nutrient transport problems.

scientific article published on 16 October 2006

Tracking large solid constructs suspended in a rotating bioreactor: A combined experimental and theoretical study

scientific article published in December 2009

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