Dynamics of tumor interaction with the host immune system
type: Item
instance of: scholarly article
title: Dynamics of tumor interaction with the host immune system
zbMATH Open document ID: 0811.92014
DOI: 10.1016/0895-7177(94)90223-2
author: G. Forni
author: N. Bellomo
published in: Mathematical and Computer Modelling
publication date: 1994-09-22T00:00:00Z
review text: 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.
reviewed by: R.Repges
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 643739
zbMATH Keywords: tumor growth
zbMATH Keywords: mutation
zbMATH Keywords: biochemical control mechanisms of cell division
zbMATH Keywords: necessary and sufficient condition
zbMATH Keywords: existence of travelling wave solutions
zbMATH Keywords: critical level of immune response
zbMATH Keywords: immune system
MaRDI profile type: Publication
full work available at URL: 0895-7177(94)90223-2
OpenAlex ID: W2027024939
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description: scientific article; zbMATH DE number 643739