International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

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The Analysis of the Effects of an Adoptive T - Cells Therapy on the Growth of Chronic Lymphocytic and Acute Myeloid Leukemia Coexistence Using Caputo’s Fractional Differential Sense

Author(s) Anthony Kwarteng, Eric Neebo Wiah, Henry Otoo
Country Ghana
Abstract A malignant disease that affects the blood's lymphoid and myeloid components is termed as a leukemia. It is a cancer that poses serious problems for individuals, families and the healthcare systems around the world. The study sought to examine how the immunotherapy of adoptive T cells affects the growth of coexistence of chronic lymphocytic leukemia (CLL) and acute myeloid leukemia (AML) cells. The compartmental system of ordinary differential equations and Caputo’s fractional differential sense were developed to analyze the coexistence of CLL and AML in a single patient. The study showed that disease free and endemic equilibrium points were proved to be globally asymptotically stable. Numerical simulations were also performed to support the analyses. The studies showed that the concentration levels of both types of leukemia cells were very high before the introduction of immunotherapy of the adoptive T cells.
Keywords Lymphocytic, Myeloid, Leukemia, Reproduction Number, immunotherapy
Field Mathematics
Published In Volume 6, Issue 5, September-October 2024
Published On 2024-09-24
Cite This The Analysis of the Effects of an Adoptive T - Cells Therapy on the Growth of Chronic Lymphocytic and Acute Myeloid Leukemia Coexistence Using Caputo’s Fractional Differential Sense - Anthony Kwarteng, Eric Neebo Wiah, Henry Otoo - IJFMR Volume 6, Issue 5, September-October 2024. DOI 10.36948/ijfmr.2024.v06i05.27556
DOI https://doi.org/10.36948/ijfmr.2024.v06i05.27556
Short DOI https://doi.org/g5knvp
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