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Simulation of tumour growth and angiogenesis

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Published on Oct 27, 2010

Simulation of tumour growth model (Macklin and Lowengrub) coupled with an adaptive angiogenesis model (Chaplain, McDougall, Anderson).

Hypoxic tumour regions (blue regions in upper left panel) release angiogenesis-promoting factors (lower right panel) that promote angiogenesis (curves in all panels). The dynamic vasculature transports blood (haematocrit: top middle panel) that releases oxygen (top right panel). The new oxygen distribution affects the spatial patterning of growth and pressure (lower left panel) which can disrupt flow in the vessels and create new regions of hypoxia.

Tumour growth method: Sharp interface tumour model, level set method, ghost fluid method, nonlinear elliptic equation solver.

Angiogenesis method: DATIA (dynamic adaptive tumour-induced angiogenesis), a discrete model that response to TAF and ECM gradients.

Source: Macklin et al. 2009
http://www.MathCancer.org/Publication...

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