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Aspects of modelling solid tumours

Abstract:

This thesis considers aspects of modelling solid tumours. We begin by considering the common assumption that nutrient or drug concentrations in avascular tumour spheroids are radially symmetric. We derive a simple Poisson equation for biomolecular diffusion into an avascular tumour, but with highly oscillatory boundary conditions due to the surrounding capillary network. We find that the assumption of radial symmetry is legitimate for biomolecules that are taken up in sufficient quantities...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Centre for Mathematical Biology
Oxford college:
Balliol College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2010
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:b7c50880-ed03-451e-9841-209f2de6a982
Local pid:
ora:12145
Deposit date:
2015-08-13

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