Creator:

Gałach, Magda

Contributor:

Kimmel, Marek - red. ; Lachowicz, Mirosław - red. ; Świerniak, Andrzej - red.

Title:

Dynamics of the tumor - immune system competition - the effect of time delay

Subtitle:

Cancer Growth and Progression, Mathematical Problems and Computer Simulations

Group publication title:

AMCS, volume 13 (2003)

Subject and Keywords:

mathematical model ; tumor growth ; differential equation ; time delay

Abstract:

The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinear term) is studied. On the other hand, the effect of time delay is taken into account in order to achieve a better compatibility with reality.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2003

Resource Type:

artykuł

Pages:

395-406

Source:

AMCS, volume 13, number 3 (2003) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego