Qualitative and computational analysis of a mathematical model for tumor-immune interactions
type: Item
instance of: scholarly article
title: Qualitative and computational analysis of a mathematical model for tumor-immune interactions
zbMATH Open document ID: 1235.92030
DOI: 10.1155/2012/475720
author: D. Abdel Rahman
author: F. A. Rihan
author: M. Safan
author: M. A. Abdeen
published in: Journal of Applied Mathematics
publication date: 2012-04-04T00:00:00Z
review text: Summary: We provide a family of ordinary and delay differential equations to model the dynamics of tumor-growth and immunotherapy interactions. We explore the effects of adoptive cellular immunotherapy on the model and describe under what circumstances the tumor can be eliminated. The possibility of clearing the tumor, with a strategy, is based on two parameters in the model: the rate of influx of the effector cells and the rate of influx of IL-2. The critical tumor-growth rate, below which endemic tumor does not exist, has been found. One can use the model to make predictions about tumor dormancy.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 6021694
Wikidata QID: Q58905948
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/475720
OpenAlex ID: W2037254487
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DBLP publication ID: journals/jam/RihanSAR12
description: scientific article; zbMATH DE number 6021694