Mathematical Model of Leukemia Treatment with Chimeric Antigen Receptor (CAR) T Cell Therapy

Leukemia, a type of blood cancer that originates in the bone marrow, is characterized by uncontrolled growth abnormal cells, which disrupt normal functioning cells. Chimeric antigen receptor (CAR) T-cell treatment, form immunotherapy, utilizes genetically modified T cells to specifically target and eliminate This treatment has shown promising results for leukemia patients who are unresponsive chemotherapy or other therapies, as well those experience relapses. In this study, we develop mathematical model incorporates chimeric therapy. The takes into account logistic intrinsic rate gradually declines over time due limited resources within body. There four compartments model: susceptible infected immune We have analyzed equilibrium points their local stability, determined basic reproduction number, conducted sensitivity analysis. Through numerical simulations, observed prior number escalated rapidly towards endemic conditions. However, after receiving CAR therapy through external infusion, either became extinct took significant amount reach levels blood. Sensitivity analysis revealed (r) death (significantly contribute increase (.