IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v32y2024i02ns0218348x24400127.html
   My bibliography  Save this article

Fractional Dynamics Of Chronic Lymphocytic Leukemia With The Effect Of Chemoimmunotherapy Treatment

Author

Listed:
  • RASHID JAN

    (Department of Civil Engineering, Institute of Energy Infrastructure (IEI), College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan Ikram-Uniten, 43000 Kajang, Selangor, Malaysia)

  • NORMY NORFIZA ABDUL RAZAK

    (Department of Civil Engineering, Institute of Energy Infrastructure (IEI), College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan Ikram-Uniten, 43000 Kajang, Selangor, Malaysia)

  • SULTAN ALYOBI

    (Department of Mathematics, College of Science and Arts, King Abdulaziz University, Rabigh, Saudi Arabia)

  • ZARYAB KHAN

    (Department of Mathematics, University of Swabi, Swabi 23561, KPK Pakistan)

  • KAMYAR HOSSEINI

    (Department of Mathematics, Near East University TRNC, Mersin 10, Turkey5Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon)

  • CHOONKIL PARK

    (Research Institute for Natural Sciences, Hanyang University, Seoul 04763, South Korea)

  • SOHEIL SALAHSHOUR

    (Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey8Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey9Faculty of Science and Letters, Piri Reis University, Tuzla, Istanbul, Turkey)

  • SIRILUK PAOKANTA

    (0School of Science, University of Phayao, Phayao 56000, Thailand)

Abstract

Currently, immunotherapy is seen to be the most effective cancer treatment. This is especially true while treating chronic lymphocytic leukemia (CLL), a slow-growing B-lymphocyte neoplasm that gradually compromises the immune system. Mathematical modeling is acknowledged as a key technique for analyzing theoretical and practical challenges in this field of cancer research and others. We were inspired to develop a mathematical model because of its dearth in investigations of chemotherapy-induced immunotherapy for CLL. This study effort formulates the dynamics of lymphocytic leukemia utilizing fractional calculus to conceptualize the complex processes of this viral illness. The basic idea of fractional calculus has been shown using the Atangana–Baleanu framework. For the suggested model’s chaotic and dynamic behavior, a new numerical approach is described. We inspect the stability and convergence of the suggested numerical technique in our work. The fluctuation of various system input elements has demonstrated the oscillatory and chaotic behavior of the system. Moreover, we have demonstrated how the suggested mechanism of lymphocytic leukemia infection is affected by fractional order. Through numerical simulations, the most important input parameters are emphasized, and the policymakers are given control intervention suggestions.

Suggested Citation

  • Rashid Jan & Normy Norfiza Abdul Razak & Sultan Alyobi & Zaryab Khan & Kamyar Hosseini & Choonkil Park & Soheil Salahshour & Siriluk Paokanta, 2024. "Fractional Dynamics Of Chronic Lymphocytic Leukemia With The Effect Of Chemoimmunotherapy Treatment," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-16.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24400127
    DOI: 10.1142/S0218348X24400127
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X24400127
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X24400127?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24400127. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.