Analisis Model Matematika Penyakit Leukemia Limfositik

Fajri Anas Yuliono (2020) Analisis Model Matematika Penyakit Leukemia Limfositik. Skripsi thesis, UNIVERSITAS AIRLANGGA.

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Official URL: http://www.lib.unair.ac.id

Abstract

Chronic lymphocytic leukemia is a blood cancer due to disorders of the bone marrow. Several methods that can be used to treat Chronic Lymphocytic Leukemia (CLL) are targeted drug therapy, bone marrow transplantation, and chemotherapy. Chemotherapy is done by administering special drugs, either by injection or orally, which function to kill cancer cells. This thesis presents a mathematical model that is used to predict the dynamics of the spread of the risk of lymphocytic leukemia cancer cells in the body. This mathematical model assumes the chemotherapy infusion flux and the immunotherapy infusion flux as the time-dependent recruitment rate for immune cells and chemotherapy agents. Besides that, the epsilon parameter is also added as the rate of interaction between chemotherapy agents and the cells in the body. This mathematical model has three equilibrium points, namely the extinction of cancer cells and chemotherapy agents point, the extinction of chemotherapy agents point, and the coexistence point which is conditionally stable asymptotically. The numerical simulation results state that the value of the cancer cell population with the interaction between chemotherapy agents and cells in the body tends to be lower than without chemotherapy agent interactions because the interaction of chemotherapy agents can inhibit the growth of cancer cells.

Item Type: Thesis (Skripsi)
Additional Information: KKC KK MPM. 08-21 Yul a
Uncontrolled Keywords: Mathematical Model, Lymphocytic leukemia, Chemotherapy agent, Equilibrium point, Stability.
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: 08. Fakultas Sains dan Teknologi > Matematika
Creators:
CreatorsNIM
Fajri Anas YulionoNIM081611233087
Contributors:
ContributionNameNIDN / NIDK
Thesis advisorFatmawati, -NIDN0007047306
Thesis advisorWindarto, -NIDN0004117702
Depositing User: Tatik Poedjijarti
Date Deposited: 26 Mar 2021 00:13
Last Modified: 26 Mar 2021 00:13
URI: http://repository.unair.ac.id/id/eprint/105088
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