The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in the paper. The results are illustrated using computer simulations.
@article{bwmeta1.element.bwnjournal-article-amcv13i3p317bwm,
author = {Fory\'s, Urszula and Marciniak-Czochra, Anna},
title = {Logistic equations in tumour growth modelling},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {13},
year = {2003},
pages = {317-325},
zbl = {1035.92017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv13i3p317bwm}
}
Foryś, Urszula; Marciniak-Czochra, Anna. Logistic equations in tumour growth modelling. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) pp. 317-325. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv13i3p317bwm/
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