Kontrol Optimal Pada Model Tumor Anti Angiogenesis

Putri, Wilis Diyah Rosari (2009) Kontrol Optimal Pada Model Tumor Anti Angiogenesis. Other thesis, Institut Teknologi Sepuluh Nopember Surabaya.

Text 1205100019-Undergraduate_Thesis.pdf - Accepted Version Download (5MB)

Abstract

Terapi anti angiogenesis mengusung satu konsep bahwa pertumbuhan tumor ganas atau anker dapat dihambat dan dijinakkan ke tahap dormant melalui pemblokiran proses angiogenesisnya (proses pembentukan pembuluh darah baru). Pada tugas akhir ini dibahas masalah optimal control dari model tumor anti angiogenesis. Model tumor anti angiogenesis didasarkan pada penurunan volume tumor dengan pemberian sejumlah penghambat angiogenesis sebagai obyek dari kontrol. Tujuan dari kontrol adalah memodelkan pemberian dosis penghambat angiogenesis yang efektif sehingga terjadi penurunan volume tumor yang maksimal. Dalam penelitian ini dilakukan proses pengoptimalan dosis yang lebih mengutamakan kesetimbangan dosis penghambat angiogenesis yang diberikan dengan pengurangan volume tumor yang terjadi pada keseluruhan interval perawatan. Proses pengoptimalan diselesaikan dengan menggunakan Pontryagin Minimum principle secara analisis. Dengan melakukan pendekatan Homotopyc (Continuation) diperoleh persamaan optimal control yang tunggal dan kontinu. Optimal control yang didapatkan dari perhitungan ana/isis kemudian disimulasikan untuk melihat pengaruh dari kontrol obat yang diberikan adalah maksimal. Hasil analisis menunjukkan bahwa akan tercapai kesetimbangan antara jumlah penghambat yang diberikan dengan penurunan volume tumor yang terjadi dengan pemilihan faktor bobot k >0
===================================================================================================================================
Anti-angiogenesis therapy carries a concept that the growth of malignant tumors or cancers can be inhibited and tamed to the dormant stage by blocking the angiogenesis process (the process of forming new blood vessels). This final project discusses the problem of optimal control of the anti-angiogenesis tumor model. The anti-angiogenesis tumor model is based on reducing tumor volume by administering a number of angiogenesis inhibitors as the object of control. The purpose of control is to model the administration of an effective dose of angiogenesis inhibitors so that there is a maximum reduction in tumor volume. In this study, a dose optimization process was carried out which prioritizes the balance of the dose of angiogenesis inhibitors given with the reduction in tumor volume that occurs during the entire treatment interval. The optimization process was completed using the Pontryagin Minimum principle analytically. By using the Homotopyc (Continuation) approach, a single and continuous optimal control equation was obtained. The optimal control obtained from the analysis calculation was then simulated to see the effect of the control of the drug given was maximal. The results of the analysis showed that an equilibrium would be achieved between the amount of inhibitor given and the reduction in tumor volume that occurred by selecting a weighting factor k> 0

Item Type:	Thesis (Other)
Uncontrolled Keywords:	kontrol optimal, Pontryagin Minimum principle, bang-bang control dan singular control, pendekatan Homotopyc, penghambat angiogenesis; Optimal controls, Rontryagin Minimum principle, bang-bang controls, singular controls, Homotopic approach, angiogenic inhibitors
Subjects:	Q Science > QA Mathematics > QA401 Mathematical models.
Divisions:	Faculty of Mathematics and Science > Mathematics > 44201-(S1) Undergraduate Thesis
Depositing User:	EKO BUDI RAHARJO
Date Deposited:	02 Oct 2024 03:21
Last Modified:	02 Oct 2024 03:21
URI:	http://repository.its.ac.id/id/eprint/115722

Actions (login required)

View Item