Analysis and Optimal Control in the Cancer Treatment Model with Combining Radio and Anti-angiogenic Therapy
Kata Kunci:
Anti-angiogenic agent, Pontryagin minimum principle, radiotherapyAbstrak
Cancer is a disease characterized by uncontrolled cell division and the ability of these cells to invade other tissues, either tissue next to them or not. Cancer treatment process is very diverse. The issue in this paper is about the treatment of cancer that processed by combining radio and anti-angiogenic therapy, which is intended to minimize the size of cancer, by adding control w (dose of radiotherapy) and u (dose of antiangiogenic). By applying Pontryagin minimum principle, the simulation results show that the size of the cancer become the most minimum if given minimum weight of anti-angiogenic (P) therapy is 0.3 and radiotherapy (Q) is 0.015. Which take big effect of this treatment is dose of anti-angiogenic therapy.
Referensi
Unknown, “Infodatin,” Pusat Data dan Informasi Kementerian Kesehatan RI, Jakarta, Tech. Rep., 2010.
K. Chudej, L. Wagner, and H. Pesch, “Numerical solution of an optimal control problem in cancer treatment: Combined radio and anti-angiogenic therapy,” IFAC-PapersOnLine, vol. 48, no. 1, pp. 665–666, 2015.
L. Perko, Differential equations and dynamical systems. Springer Science & Business Media, 2013, vol. 7.
Subiono, Matematika Sistem. Surabaya: Institut Teknologi Sepuluh Nopember, 2003.
Subiono, Sistem Linear. Surabaya: Institut Teknologi Sepuluh Nopember, 2013.
