Analysis of Immunotherapy Models in the Context of Cancer Dynamics
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 3, pp. 407-418
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A basic mathematical model of the immune response when cancer cells are recognized is proposed. The model consists of six ordinary differential equations. It is extended by taking into account two types of immunotherapy: active immunotherapy and adoptive immunotherapy. An analysis of the corresponding models is made to answer the question which of the presented methods of immunotherapy is better. The analysis is completed by numerical simulations which show that the method of adoptive immunotherapy seems better for the patient at least in some cases.
Keywords:
dynamic systems, immune system, cancer, vaccination
Mots-clés : medycyna, matematyka
Mots-clés : medycyna, matematyka
@article{IJAMCS_2003_13_3_a12,
author = {Szyma\'nska, Z.},
title = {Analysis of {Immunotherapy} {Models} in the {Context} of {Cancer} {Dynamics}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {407--418},
publisher = {mathdoc},
volume = {13},
number = {3},
year = {2003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_3_a12/}
}
TY - JOUR AU - Szymańska, Z. TI - Analysis of Immunotherapy Models in the Context of Cancer Dynamics JO - International Journal of Applied Mathematics and Computer Science PY - 2003 SP - 407 EP - 418 VL - 13 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_3_a12/ LA - en ID - IJAMCS_2003_13_3_a12 ER -
%0 Journal Article %A Szymańska, Z. %T Analysis of Immunotherapy Models in the Context of Cancer Dynamics %J International Journal of Applied Mathematics and Computer Science %D 2003 %P 407-418 %V 13 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_3_a12/ %G en %F IJAMCS_2003_13_3_a12
Szymańska, Z. Analysis of Immunotherapy Models in the Context of Cancer Dynamics. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 3, pp. 407-418. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_3_a12/