Logistic Equations in Tumour Growth Modelling

• Autorzy: Foryś U. , Marciniak-Czochra A.
• 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

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

PL

funkcja logistyczna; równanie różniczkowe; stateczność globalna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 3
• Strony: 317--325
• Opis fizyczny: Bibliogr. 23 poz., rys., tab., wykr.

Twórcy

autor

Foryś U.

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

autor

Marciniak-Czochra A.

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

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