Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions
Joint Authors
Safan, M.
Abdelrahman, D. H.
Rihan, Fathalla A.
Abdeen, M. A.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-08
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Rihan, Fathalla A.& Safan, M.& Abdeen, M. A.& Abdelrahman, D. H.. 2012. Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028896
Modern Language Association (MLA)
Rihan, Fathalla A.…[et al.]. Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-1028896
American Medical Association (AMA)
Rihan, Fathalla A.& Safan, M.& Abdeen, M. A.& Abdelrahman, D. H.. Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028896
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028896