The non-uniform spatial development of a micrometastasis.

Bloor, Malcolm I.G.; Wilson, Michael J.

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A mathematical model of a micrometastasis.

Bloor, Malcolm I.G., Wilson, Michael J. (1997)

Journal of Theoretical Medicine

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Necrosis and apoptosis: Distinct cell loss mechanisms in a mathematical model of avascular tumour growth.

Byrne, H.M., Chaplain, M.A.J. (1998)

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Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy.

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Autowaves in the Model of Infiltrative Tumour Growth with Migration-Proliferation Dichotomy

A.V. Kolobov, V.V. Gubernov, A.A. Polezhaev (2011)

Mathematical Modelling of Natural Phenomena

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A mathematical model of infiltrative tumour growth is investigated taking into account transitions between two possible states of malignant cells: proliferation and migration. These transitions are considered to depend on oxygen level in a threshold manner where high oxygen concentration allows cell proliferation, while concentration below a certain critical value induces cell migration. The infiltrative tumour spreading rate dependence on model parameters is obtained. It is shown that...