Qualitative and Computational Analysis of a Mathematical Model for Tumor‐Immune Interactions

F. A. Rihan; M. Safan; M. A. Abdeen; D. Abdel Rahman

doi:10.1155/2012/475720

journal article Open Access Jan 01, 2012

Qualitative and Computational Analysis of a Mathematical Model for Tumor‐Immune Interactions

F. A. Rihan M. Safan M. A. Abdeen D. Abdel Rahman

Journal of Applied Mathematics Vol. 2012 No. 1 · Wiley

View at Publisher Save 10.1155/2012/475720

Abstract

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.

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References

Details

Published: Jan 01, 2012
Vol/Issue: 2012(1)
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Funding

Emirates Foundation

Cite This Article

F. A. Rihan, M. Safan, M. A. Abdeen, et al. (2012). Qualitative and Computational Analysis of a Mathematical Model for Tumor‐Immune Interactions. Journal of Applied Mathematics, 2012(1). https://doi.org/10.1155/2012/475720

Qualitative and Computational Analysis of a Mathematical Model for Tumor‐Immune Interactions

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