MODEL MATEMATIKA INTERAKSI SEL DARAH PADA LEUKEMIA MIELOID AKUT DENGAN ADANYA KEMOTERAPI
Abstrak
Acute Myeloid Leukemia (LMA) is a type of leukemia caused by changes in genetic material in myeloid stem cells. This causes the leukemia cells to develop uncontrollably and interferes with the growth of other blood cells. The presence of leukemia cells in the body will trigger the body to activate the immune system. The immune system consists of a group of cells, such as T cells and Natural Killer cells, whose job is to fight and destroy leukemia cells. The resistance of leukemia cells can also be helped from outside the body, namely by using chemotherapy treatment methods. The model was analyzed and eight equilibrium points were obtained which would be asymptotically stable if they met the conditions. Furthermore, numerical simulations were carried out to see the effect of chemotherapy drug doses on the growth of healthy blood cells, leukemia cells, and immune cells. The numerical simulation results at the coexistence equilibrium point show that a chemotherapy drug dose of 0.3 mg per day is assumed to be quite appropriate, because in a long period of time the number of leukemia cell populations is lower than the number of healthy blood cell populations and immune cells
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