Multiscale Modelling of Fluid and Drug Transport in Vascular Tumours
- R. Shipley, S. Chapman
- PhysicsBulletin of Mathematical Biology
- 23 January 2010
A model for fluid and drug transport through the leaky neovasculature and porous interstitium of a solid tumour is developed and the dependence of the transport coefficients on the vascular geometry is determined by solving micro-scale cell problems.
Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?
- Y. Davit, C. G. Bell, M. Quintard
- 1 December 2013
Effective governing equations for poroelastic growing media
- R. Penta, D. Ambrosi, R. Shipley
- 1 February 2014
A new mathematical model is developed for the macroscopic behaviour of a porous, linear elastic solid, saturated with a slowly flowing incompressible, viscous fluid, with surface accretion of the…
Control and optimization of solute transport in a thin porous tube
- I. Griffiths, P. Howell, R. Shipley
- Engineering, Biology
- 26 March 2013
A radially averaged model for fluid and solute transport in a tube with thin porous walls is derived by developing the classical ideas of Taylor dispersion, applied to the specific example of a hollow fibre membrane bioreactor where a uniform delivery of nutrient across the membrane walls to the extra-capillary space is required to promote spatially uniform cell growth.
Computational fluid dynamics with imaging of cleared tissue and of in vivo perfusion predicts drug uptake and treatment responses in tumours
- Angela M. d’Esposito, P. Sweeney, S. Walker-Samuel
- Biology, MedicineNature Biomedical Engineering
- 1 October 2018
The combination of mathematical modelling of tumour tissue, high-resolution optical imaging of intact and optically cleared tumours from animal models, and in vivo imaging of vascular perfusion in tumours predicts the tumour uptake and distribution of specific therapeutic agents.
Multiscale Modeling of Fluid Transport in Tumors
- S. Chapman, R. Shipley, Rossa Jawad
- EngineeringBulletin of Mathematical Biology
- 26 September 2008
A model for fluid flow through the leaky neovasculature and porous interstitium of a solid tumor is developed and the resulting equations comprise a double porous medium with coupled Darcy flowthrough the interst itium and vasculature.
A Validated Multiscale In-Silico Model for Mechano-sensitive Tumour Angiogenesis and Growth
- V. Vavourakis, P. Wijeratne, R. Shipley, M. Loizidou, T. Stylianopoulos, D. Hawkes
- BiologyPLoS Comput. Biol.
- 1 January 2017
Two novel features are introduced: the effects of hapto- and mechanotaxis on vessel sprouting, and mechano-sensitive dynamic vascular remodelling, which are necessary to recapitulate observed time-varying spatial distributions of angiogenic vasculature.
High-speed camera characterization of voluntary eye blinking kinematics
- Kyung‐Ah Kwon, R. Shipley, R. Cameron
- PsychologyJournal of the Royal Society Interface
- 6 August 2013
The advantages of the high-speed camera method over the others are discussed, thereby supporting the high potential usefulness of the method in clinical research.
Regulation of O2 consumption by the PI3K and mTOR pathways contributes to tumor hypoxia
- C. Kelly, K. Hussien, R. Muschel
- Biology, MedicineRadiotherapy and Oncology
- 1 April 2014
Quantifying the correlation between spatially defined oxygen gradients and cell fate in an engineered three-dimensional culture model
- A. Ardakani, U. Cheema, Robert A. Brown, R. Shipley
- BiologyJournal of the Royal Society Interface
- 6 September 2014
Novel spatially resolved and simultaneous data on tissue oxygenation, cellular proliferation, viability and chemotaxis in three-dimensional spiralled, cellular collagen constructs is extracted and insights into the natural cell mechanism for adapting cell number and activity to a prevailing oxygen regime are provided.