Logistic equations in tumour growth modelling

• Autorzy: Urszula Foryś , Anna Marciniak-Czochra
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

global stability; Ehrlich ascities tumour; reaction-diffusion equation; logistic equation; Hopf bifurcation; delay differential equation; spatial pattern; stability

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 3
• Strony: 317-325

Daty

wydano

2003

otrzymano

2003-03-01

poprawiono

2003-06-01

Twórcy

autor

Urszula Foryś

• Faculty of Mathematics, Informatics and Mechanics,Institute of Applied Mathematics and Mechanics Warsaw University, ul. Banacha 2, 02-097 Warsaw, Poland

autor

Anna Marciniak-Czochra

• Institute of Applied Mathematics, University of Heidelberg, INF 294, 69120 Heidelberg, Germany

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