Math. Model. Nat. Phenom.
Volume 6, Number 7, 2011Mathematical modeling in biomedical applications
|Page(s)||27 - 38|
|Published online||15 June 2011|
Autowaves in the Model of Infiltrative Tumour Growth with Migration-Proliferation Dichotomy
Department of Theoretical Physics, P.N. Lebedev Physical
Institute, Leninskij prosp.
⋆ Corresponding author. E-mail: email@example.com
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 the tumour growth rate depends on the tissue oxygen level in a threshold manner.
Mathematics Subject Classification: 92B05 / 35K40
Key words: tumor growth / proliferation and migration dichotomy / oxygen
© EDP Sciences, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.