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Języki publikacji
Abstrakty
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.
Rocznik
Tom
Strony
407--418
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
- Faculty of Mathematics, Informatics and Mechanics Warsaw University, ul. Banacha 2, 02-097 Warsaw, Poland, z.szymanska@zodiac.mimuw.edu.pl
Bibliografia
- [1] Chen Ch.-H. and Wu T.-C. (1998): Experimental vaccine strategies for cancer immunotherapy.—J. Biomed. Sci., Vol. 5, No. 4, pp. 231–252.
- [2] Connor M. and Ferguson-Smith M., (1997) Essential Medical Genetics. — Oxford: Blachwell Science.
- [3] Foryś U. (2002): Marchuk’s model of immune system dynamics with application to tumour growth. — J. Theoret. Med., Vol. 4, No. 1, pp. 85–93.
- [4] Greenspan H.P. (1972): Models for the growth of a solid tumor by diffusion.—Stud. Appl. Math., Vol. 51, No. 4, pp. 317–340.
- [5] Hartman P.H. (1964): Ordinary Differential Equations. — New York: Wiley.
- [6] Jakóbisiak M. (Ed.) (1995): Immunology. — Warsaw: Polish Scientific Publishers, (in Polish).
- [7] Kirschner D. and Panetta J., (1998): Modeling immunotherapy of the tumor - immune interaction. — J. Math. Biol., Vol. 37, No. 3, pp. 235–252.
- [8] Kuby J. (1997): Immunology.—New York: Freeman Co.
- [9] Mayer H., Zaenker K.S. and an der Heiden U. (1995): A basic mathematical model of the immune response. — Chaos, Vol. 5, No. 1, pp. 155–161.
- [10] Michałkiewicz J. (2003): Personal communication. — Department of Clinical Immunology, Children Memorial Health Institute, Warsaw.
- [11] Villasana M. (2001): A Delay Differential Equation Model for Tumor Growth.—Ph.D. thesis, Dept. Mathematics, Claremont University, USA.
- [12] Terry W. and Yamamura Y. (Ed.) (1979): Immunobiology and Immunotherapy of Cancer.—North-Holland: Elsevier.
- [13] Traczyk W. (1997): Human phisiology. — Warsaw: PZWL, (in Polish).
- [14] Turowicz A. (1967): Geometry of the zeros of the polynomials. —Warsaw: Scientific Publishers, (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0002-0037