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2003 | 13 | 3 | 407-418
Tytuł artykułu

Analysis of immunotherapy models in the context of cancer dynamics

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
Rocznik
Tom
13
Numer
3
Strony
407-418
Opis fizyczny
Daty
wydano
2003
otrzymano
2003-03-01
poprawiono
2003-06-01
Twórcy
  • Faculty of Mathematics, Informatics and Mechanics Warsaw University, ul. Banacha 2 02-097 Warsaw, Poland
Bibliografia
  • Chen Ch.-H. and Wu T.-C. (1998): Experimental vaccine strategies for cancer immunotherapy. - J. Biomed. Sci., Vol. 5, No. 4, pp. 231-252.
  • Connor M. and Ferguson-Smith M., (1997) Essential Medical Genetics. - Oxford: Blachwell Science.
  • 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.
  • Greenspan H.P. (1972): Models for the growth of a solid tumor by diffusion. - Stud. Appl. Math., Vol. 51, No. 4, pp. 317-340.
  • Hartman P.H. (1964): Ordinary Differential Equations. - New York: Wiley.
  • Jakóbisiak M. (Ed.) (1995): Immunology. - Warsaw: Polish Scientific Publishers, (in Polish).
  • Kirschner D. and Panetta J., (1998): Modeling immunotherapy ofthe tumor - immune interaction. - J. Math. Biol., Vol. 37, No. 3, pp. 235-252.
  • Kuby J. (1997): Immunology. - New York: Freeman Co.
  • 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.
  • Michałkiewicz J. (2003): Personal communication. - Department of Clinical Immunology, Children Memorial Health Institute, Warsaw.
  • Villasana M. (2001): A Delay Differential Equation Model for TumorGrowth. - Ph.D. thesis, Dept. Mathematics, Claremont University, USA.
  • Terry W. and Yamamura Y. (Ed.) (1979): Immunobiology and Immunotherapyof Cancer. - North-Holland: Elsevier.
  • Traczyk W. (1997): Human phisiology. - Warsaw: PZWL, (in Polish).
  • Turowicz A. (1967): Geometry of the zeros of the polynomials. - Warsaw: Scientific Publishers, (in Polish).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv13i3p407bwm
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