Solid tumour growth analysis of necrotic core formation*

https://doi.org/10.1016/j.mcm.2004.06.022Get rights and content
Under an Elsevier user license
open archive

Abstract

This paper deals with the analysis of simple model of an avascular solid tumour growth dynamics with a necrotic core. The analysis is focused to the conditions which guarantee existence and stability of a stationary solution to the model. The second part of the paper deals with the analysis of effects of an external source of nutrient on the process of necrotic core formation. This influence is visualised by numerical simulations.

Keywords

Solid avascular tumour
Proliferation
Apoptosis
Necrosis
Necrotic core
Reaction-diffusion equation
Implicit function

Cited by (0)

*

This paper was prepared in the framework of RTN “Using Mathematical Modelling and Computer Simulation to Improve Cancer Therapy” (CT-2000-00105).