Geodesic
Dynamics of the Tumor---Immune System Competition---the Effect of Time Delay
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 3, pp. 395-406

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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.
Keywords: mathematical model, tumor growth, differential equation, time delay
Mots-clés : medycyna, matematyka 
Gałach, M. Dynamics of the Tumor---Immune System Competition---the Effect of Time Delay. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 3, pp. 395-406. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_3_a11/
@article{IJAMCS_2003_13_3_a11,
     author = {Ga{\l}ach, M.},
     title = {Dynamics of the {Tumor---Immune} {System} {Competition---the} {Effect} of {Time} {Delay}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {395--406},
     year = {2003},
     volume = {13},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_3_a11/}
}
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