Tumour angiogenesis model with variable vessels' effectiveness

• Autorzy: Jan Poleszczuk , Iwona Skrzypczak
• Języki publikacji: EN

Abstrakty

EN

We propose a model of vascular tumour growth, which generalises the well recognised model formulated by Hahnfeldt et al. in 1999. Our model is based on the same idea that the carrying capacity for any solid tumour depends on its vessel density but it also incorporates vasculature quality which may be lost during angiogenesis as recognised by Jain in 2005. In the model we assume that the loss of vessel quality affects the diffusion coefficient inside the tumour. We analyse basic mathematical properties of the proposed model and present some numerical simulations.

Kategorie tematyczne

• 92C50: Medical applications (general)
• 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 1
• Strony: 33-49

Daty

wydano

2011

Twórcy

autor

Jan Poleszczuk

• Institute Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, 02-097 Warszawa, Poland

autor

Iwona Skrzypczak

• College of Inter-faculty Individual Studies, in Mathematics and Natural Sciences, University of Warsaw, 02-089 Warszawa, Poland

Identyfikatory

DOI

10.4064/am38-1-3