IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i4p564-d344300.html
   My bibliography  Save this article

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

Author

Listed:
  • Asad Ur Rehman Anjum

    (Department of Mathematics, University of Engineering and Technology, Lahore 54890, Pakistan
    Department of Mathematics, Minhaj University, Lahore 54770, Pakistan)

  • Qasim Ali Chaudhry

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
    KTH Royal Institute of Technology, 10044 Stockholm, Sweden)

  • A. Othman Almatroud

    (Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia)

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.

Suggested Citation

  • Asad Ur Rehman Anjum & Qasim Ali Chaudhry & A. Othman Almatroud, 2020. "Sensitivity Analysis of Mathematical Model to Study the Effect of T Cells Infusion in Treatment of CLL," Mathematics, MDPI, vol. 8(4), pages 1-19, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:564-:d:344300
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/4/564/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/4/564/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yueying Zhu & Qiuping Alexandre Wang & Wei Li & Xu Cai, 2017. "Uncertainty and sensitivity analysis to complex systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(08), pages 1-16, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ibok, Otu W. & Osbahr, Henny & Srinivasan, Chittur, 2019. "Advancing a new index for measuring household vulnerability to food insecurity," Food Policy, Elsevier, vol. 84(C), pages 10-20.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:564-:d:344300. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.