Sensitivity Analysis of Mathematical Model to Study the Effect of T Cells Infusion in Treatment of CLL

Asad Ur Rehman Anjum, Qasim Ali Chaudhry and A. Othman Almatroud
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Asad Ur Rehman Anjum: Department of Mathematics, University of Engineering and Technology, Lahore 54890, Pakistan
Qasim Ali Chaudhry: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
A. Othman Almatroud: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

Mathematics, 2020, vol. 8, issue 4, 1-19

Abstract: In this paper, we considered a mathematical model concerned with the treatment of Chronic Lymphocytic Leukemia (CLL) taking into account the effect of superficially infused T cells in this particular type of tumor. The model is described thoroughly by the system of non-linear differential equations explaining the interaction of naïve, infected, cancer and immune cell population. The detailed sensitivity analysis with the application is the major part of this paper. The basic objective is to provide insight to how parameters’ behavior varies model results by elaborating the results obtained from the application of sensitivity analysis. The sensitivity of the model was evaluated not only theoretically, but also with the help of a numerical approach, producing graphs providing better imminent of results. We argue that the application of the sensitivity analysis method endows an insight into how and which parameters are of primary significance in controlling the spread of leukemia.

Keywords: sensitivity analysis; chronic lymphocytic leukemia; immune response; mathematical modeling; T cells (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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