Putri, Sinta Armadi (2018) Analisis dan Kontrol Optimal pada Model Penyebaran Virus HIV dengan peran Respon Imun dan Terapi Antiretroviral. Undergraduate thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Human Immunodeficiency Virus (HIV) merupakan salah satu virus yang menyebabkan penyakit AIDS, suatu kondisi pada manusia di mana sistem kekebalan tubuh mulai menurun dan menyebabkan infeksi oportunistik. Virus ini menyerang sel 〖CD4〗^+ T dalam tubuh, semakin berkurangnya jumlah sel 〖CD4〗^+ T dalam tubuh maka akan semakin cepat virus ini berkembang menjadi penyakit AIDS. Tidak ada obat yang benar-benar menyembuhkan, yang dapat dilakukan hanyalah menghambat penyebaran virus sehingga dapat meningkatkan masa hidup orang yang terinfeksi. Dan untuk mengatasi permasalahan tersebut, pada penelitian ini akan dilakukan pemberian kendali optimal berupa terapi antiretroviral yaitu Reverse transcriptase inhibitor (η_r) dan protease inhibitor (η_p) pada model penyebaran virus HIV. Dengan menerapkan prinsip maksimum pontryagin, hasil simulasi menunjukkan bahwa jumlah sel 〖CD4〗^+ T meningkat hingga 20% dimana efisiensi sebuah pengontrol berupa terapi antiretoviral (η_r) adalah 99% dalam memblokir infeksi baru dan (η_p) adalah 100% dalam menghambat produksi virus baru. ===================================================================================================
Human Immunodeficiency Virus (HIV) is one of virus that caused AIDS disease, a condition in humans where the immunity system begins to decline and caused opportunistic infection. This virus attacks 〖CD4〗^+ T cells, and the decrease in the number of 〖CD4〗^+ T cells in the body, the faster the virus will develop into AIDS disease. There is no cure that really cures, all that can be done is to inhibit the spread of the virus so as to increase the life span of an infected person. And to overcome this problem, this research will give optimal control in the form of antiretroviral therapy that is Reverse transcriptase inhibitor (η_r) and protease inhibitor (η_p) in model of HIV virus spread. By applying the maximum principle of pontryagin, the simulation results show that the number of 〖CD4〗^+ T cells increases to 20% where the efficiency of a controller in the form of antiretoviral therapy (η_r) is 99% in blocking new infections and (η_p) is 100% inhibiting viral production new.
| Item Type: | Thesis (Undergraduate) |
|---|---|
| Uncontrolled Keywords: | HIV, sel 〖CD4〗^+ T, Reverse transcriptase inhibitor, protease inhibitor. |
| Subjects: | Q Science > Q Science (General) Q Science > Q Science (General) > Q180.55.M38 Mathematical models Q Science > QA Mathematics > QA402 System analysis. |
| Divisions: | Faculty of Mathematics, Computation, and Data Science > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | Sinta armadi putri |
| Date Deposited: | 04 Aug 2021 23:33 |
| Last Modified: | 04 Aug 2021 23:33 |
| URI: | http://repository.its.ac.id/id/eprint/58427 |
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