Syukriah, Fadilla (2014) Analisis Dinamik Model Pertumbuhan Tumorsistem Imun Dengan Kemoterapi. Sarjana thesis, Universitas Brawijaya.
Abstract
Pada skripsi ini dibahas model pertumbuhan sel tumor yang dikendalikan oleh sistem imun dan kemoterapi. Komponen imun yang dimaksud dalam skripsi ini yaitu sel CTL aktif dan sel Thelper. Pertumbuhan sel tumor dimodelkan sebagai sistem autonomous empat dimensi. Perilaku solusi sistem autonomous tersebut dianalisa melalui eksistensi titik kesetimbangan dan kestabilannya melalui proses linearisasi. Sebelum dilakukan analisis pada sistem dengan kemoterapi, dilakukan terlebih dahulu analisis pada sistem tanpa kemoterapi. Kedua sistem mempunyai enam titik kesetimbangan. Sistem tanpa kemoterapi mempunyai tiga titik kesetimbangan stabil jika memenuhi syarat tertentu, sedangkan sistem dengan kemoterapi semua titik kesetimbangan stabil jika memenuhi syarat tertentu. Hasil analisis diuji dan diilustrasikan melalui simulasi numerik. Hasil simulasi menunjukkan bahwa kemoterapi dapat membantu sel imun untuk menghancurkan sel tumor, tetapi sel imun masih dapat dipertahankan.
English Abstract
This final project concerns with a tumor growth model which is controlled by immune system and chemotherapy. Immune components considered in this project are active CTL cells and helper T-cells. The growth of tumor cells is modelled as a four dimension autonomous system. Dynamical behaviour of the system is investigated by analyzing the existence condition of equilibrium points and its stability through linearization process. Before analyzing the system with chemotherapy, the system without chemotherapy is considered. Both sistems have six equilibrium points. System without chemotherapy has three equibrium points that can be stable under certain conditions, while all of equilibrium points of system with chemotherapy can be stable under certain conditions. Analysis result is also verified and illustrated by conducting some numerical simulations. It can be shown that chemotherapy can help immune cells in destroying tumor cells while immune cells keep exist.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2014/407/05500195 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Budi Wahyono Wahyono |
| Date Deposited: | 16 Jan 2015 07:25 |
| Last Modified: | 21 Oct 2021 06:51 |
| URI: | http://repository.ub.ac.id/id/eprint/154049 |
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