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Zbl 0902.92012
Kirschner, Denise; Panetta, John Carl
Modeling immunotherapy of the tumor -- immune interaction.
(English)
[J] J. Math. Biol. 37, No.3, 235-252 (1998). ISSN 0303-6812; ISSN 1432-1416/e

Summary: A number of lines of evidence suggest that immunotherapy with the cytokine interleukin-2 (IL-2) may boost the immune system to fight tumors. $\text{CD}4^+$ T cells, the cells that orchestrate the immune response, use these cytokines as signaling mechanisms for immune-response stimulation as well as lymphocyte stimulation, growth, and differentiation. Because tumor cells begin as `self', the immune system may not respond in an effective way to eradicate them. Adoptive cellular immunotherapy can potentially restore or enhance these effects. \par We illustrate through mathematical modeling the dynamics between tumor cells, immune-effector cells, and IL-2. These efforts are able to explain both short tumor oscillations in tumor sizes as well as long-term tumor relapse. We then explore the effects of adoptive cellular immunotherapy on the model and describe under what circumstances the tumor can be eliminated.
MSC 2000:
*92C50 Medical appl. of mathematical biology

Keywords: ordinary differential equations; adoptive cellular immunotherapy; cytokine interleukin-2; immune system

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