Logistic equations in tumour growth modelling

• Verfasst von: Marciniak-Czochra, Anna [VerfasserIn]
• Titel: Logistic equations in tumour growth modelling
• Verf.angabe: Anna Marciniak-Czochra
• Umfang: 9 S.
• Titel Quelle: Enthalten in: Applied mathematics and computer science
• Jahr Quelle: 2003
• Band/Heft Quelle: 13(2003), 3, S. 317-325
• ISSN Quelle: 0867-857X
• Sprache: eng
• K10plus-PPN: 1643322877

Abstract

The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As a first approach a well-known ordinary differential equation is used to model the Ehrlich ascities tumour 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.