Logistic equations in tumour growth modelling
Urszula Foryś; Anna Marciniak-Czochra
International Journal of Applied Mathematics and Computer Science (2003)
- Volume: 13, Issue: 3, page 317-325
- ISSN: 1641-876X
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topForyś, Urszula, and Marciniak-Czochra, Anna. "Logistic equations in tumour growth modelling." International Journal of Applied Mathematics and Computer Science 13.3 (2003): 317-325. <http://eudml.org/doc/207646>.
@article{Foryś2003,
abstract = {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.},
author = {Foryś, Urszula, Marciniak-Czochra, Anna},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {global stability; Ehrlich ascities tumour; reaction-diffusion equation; logistic equation; Hopf bifurcation; delay differential equation; spatial pattern; stability},
language = {eng},
number = {3},
pages = {317-325},
title = {Logistic equations in tumour growth modelling},
url = {http://eudml.org/doc/207646},
volume = {13},
year = {2003},
}
TY - JOUR
AU - Foryś, Urszula
AU - Marciniak-Czochra, Anna
TI - Logistic equations in tumour growth modelling
JO - International Journal of Applied Mathematics and Computer Science
PY - 2003
VL - 13
IS - 3
SP - 317
EP - 325
AB - 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.
LA - eng
KW - global stability; Ehrlich ascities tumour; reaction-diffusion equation; logistic equation; Hopf bifurcation; delay differential equation; spatial pattern; stability
UR - http://eudml.org/doc/207646
ER -
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