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

• Autorzy: Magda Galach
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

mathematical model; differential equation; time delay; tumor growth

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 3
• Strony: 395-406

Daty

wydano

2003

otrzymano

2003-03-01

poprawiono

2003-06-01

Twórcy

autor

Magda Galach

• Institute of Biocybernetics and Biomedical Engineering, Polish Academy of Sciences, ul. Trojdena 4, 02-109 Warsaw, Poland

Bibliografia

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