Dynamics of tumor interaction with the host immune system (Q1334747)
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scientific article; zbMATH DE number 643739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamics of tumor interaction with the host immune system |
scientific article; zbMATH DE number 643739 |
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Dynamics of tumor interaction with the host immune system (English)
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22 September 1994
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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.
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tumor growth
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mutation
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biochemical control mechanisms of cell division
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necessary and sufficient condition
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existence of travelling wave solutions
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critical level of immune response
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immune system
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