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Dynamics of tumor interaction with the host immune system. (English) Zbl 0811.92014
The author develops a reaction-diffusion model for the initial growth of a tumor following a mutation that affects the biochemical control mechanisms of cell division. He derives a necessary and sufficient condition for the existence of travelling wave solutions. The results suggest, biologically, that for certain types of mutation growing tumors can initially contain a significant portion of normal cells. Moreover, the model predicts that there is a critical level of immune response, above which the immune system will prevent the initial growth of the tumor.
Reviewer: R.Repges (Aachen)

MSC:
92C50 Medical applications (general)
35K57 Reaction-diffusion equations
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