Wolfson Building, Parks Road, Oxford OX1 3QD
Poromechanics is a simplified mixture theory where a complex fluid-structure interaction problem is replaced by a superposition
of both fluid and solid components, each of which represents a fraction of the complete material at every point. It has been
successfully used to model various multiphasic systems, particularly within the field of bioengineering. The relative simplicity
of its underlying assumptions make it a powerful tool for the modelling of suitable complex systems, and its treatment of
fluid-structure interaction makes it an ideal candidate to model coronary perfusion. However, poroelastic cardiac models are
extremely difficult to parameterise. In fact, there has never been, to our knowledge, a creditable attempt at characterising
one critical parameter in particular -- the permeability tensor field.
The representation of the permeability within current poroelastic cardiac models has been poorly justified and grossly oversimplified. It is the aim of my thesis to robustly derive a permeability based on anatomically accurate vascular data, to embed this permeability within a poroelastic domain. In addition, I am interested in the validation and transferral of mathematical models into useful clinical tools.
BSc (Hons) in Mathematical Sciences, University College Cork, 2008.
Parameterisation of multi−scale continuum perfusion models from discrete vascular networks
Eoin R Hyde‚ Christian Michler‚ Jack Lee‚ Andrew N Cookson‚ Radek Chabiniok‚ David A Nordsletten and Nicolas P Smith
In Medical & biological engineering & computing. Pages 1–14. 2013.
A computationally efficient framework for the simulation of cardiac perfusion using a multi−compartment Darcy porous−media flow model
C Michler‚ AN Cookson‚ R Chabiniok‚ E Hyde‚ J Lee‚ M Sinclair‚ T Sochi‚ A Goyal‚ G Vigueras‚ DA Nordsletten and others
In International journal for numerical methods in biomedical engineering. 2012.
A novel porous mechanical framework for modelling the interaction between coronary perfusion and myocardial mechanics
AN Cookson‚ J Lee‚ C Michler‚ R Chabiniok‚ E Hyde‚ DA Nordsletten‚ M Sinclair‚ M Siebes and NP Smith
In Journal of biomechanics. 2011.