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The buckling of capillaries in tumours

Abstract:

Capillaries in tumours are often severely buckled (in a plane perpendicular to the axis) and / or chaotic in their direction. We develop a model of these phenomena using nonlinear solid mechanics. Our model focusses on the immediate surrounding of a capillary. The vessel and surrounding tissue are modelled as concentric annulii. The growth is dependent on the concentration of a nutrient (oxygen) diffusing from the vessel into the tumour interstitium. The stress is modelled using a multipli...

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

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Supervisor
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Supervisor
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Funding agency for:
MacLaurin, J
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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