Dynamics of the Tumor-Immune System Competition-the Effect of Time Delay

• Autorzy: Gałach M.
• 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; tumor growth; differential equation; time delay

PL

model matematyczny; równanie różniczkowe; opóźnienie czasowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 3
• Strony: 395--406
• Opis fizyczny: Bibliogr. 14 poz., tab., wykr.

Twórcy

autor

Gałach M.

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

Bibliografia

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