Adawiyah, AuliaRobiatul (2015) Kontrol Optimal Model Kanker dengan Imunoterapi, Kemoterapi, dan Biokemoterapi. Sarjana thesis, Universitas Brawijaya.
Abstract
Skripsi ini membahas tentang kontrol optimal model kanker dengan imunoterapi, kemoterapi, dan biokemoterapi. Prinsip Pontryagin digunakan dalam penyelesaian masalah kontrol optimal. Tujuannya yaitu untuk menunjukkan pengobatan yang lebih efektif antara pengobatan dengan imunoterapi, pengobatan dengan kemoterapi, dan pengobatan dengan biokemoterapi. Selanjutnya masalah kontrol optimal diselesaikan secara numerik dengan metode Sweep Maju-Mundur dan metode Runga Kutta orde 4. Simulasi numerik menunjukkan keefektifan biokemoterapi dalam mengontrol pertumbuhan sel kanker sehingga dapat meminimumkan jumlah sel kanker.
English Abstract
This final project studies the optimal control on the model of cancer with immunotherapy, chemotherapy, and biochemotherapy. Pontryagin principle is used on problem solving optimal control. The goal is to demonstrate a more effective treatment between treatment with immunotherapy, treatment with chemotherapy, and with biochemotherapy treatment. Furthermore, the optimal control problem is solve numerically with Forward Backward Sweep method and fourth order of Runga Kutta method. Numerical simulation show the effectiveness of the biochemotherapy treatment of controlling the growth of cancer cells. It means that biochemotheraphy can reduce the number of cancer cells.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2015/93/051501564 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Endang Susworini |
| Date Deposited: | 24 Feb 2015 15:43 |
| Last Modified: | 24 Feb 2015 15:43 |
| URI: | http://repository.ub.ac.id/id/eprint/154589 |
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