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Journal : Jurnal Fourier

Model Matematika Penjadwalan Obat Kemoterapi Kanker secara Optimal Menggunakan Non-dominated Sorting Genetic Algorithm-II (NSGA-II) Ashilah Azmii, Yusyifa; Yulianti, Kartika; Sispiyati, Ririn
Jurnal Fourier Vol. 14 No. 1 (2025)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2025.141.45-55

Abstract

In this study, a mathematical model for cancer chemotherapy drug scheduling was developed, which is the problem of scheduling drugs given to patients. The mathematical model developed has an objective function of reducing cancer cells while reducing toxicity in the patient's body, with constraints in the form of limits for the number of healthy cells, cancer cells, drug concentration, and patient toxicity. The influential and interrelated variables are arranged in a system of differential equations consisting of the number of healthy cells, number of cancer cells, drug dose, drug concentration, patient toxicity and drug effect, which describes the chemotherapy of non-specific cancer cell cycles. Optimal solution was obtain numerically using Runge-Kutta Method and Non-dominated Sorting Genetic Algorithm-II (NSGA-II). The results showed that this algorithm was able to produce a solution with an optimal dosing schedule every 8 days for 106 days with 14 drug doses. Doses ranged from 20.00 to 29.55 mg/m² with an average of 24.28 mg/m² and a standard deviation of 3.64 mg/m² so as to minimize the number of cancer cells and damage to healthy cells.
Co-Authors Aan Hasanah Abdul Latip Abdul Latip Abolla, Gloria Angelica Agus Y. Gunawan Agus Yodi Gunawan Aini, Siti Aisy, Khansa Salsabila Rohadatul Al Jupri Alfitri, Putri Armania Agustina Alivia Alivia Alvira Firjan Humaira Ambalegin, Ambalegin Ashilah Azmii, Yusyifa Asmarani, Mustika Asyifa Rahmawati Azzahra, Yasmine Bill Chairy Rizki Bustaren Cece Kustiawan Dadang Juandi Darhim Darhim Dian Usdiyana Edy Soewono Eha Harningsih Elisabet Ivanna Grace Handayani Elisya, Nur Encum Sumiaty, Encum Enmufida Enmufida Entit puspita Erman Suherman Eyus Sudihartinih Fakhrana Nadhilah Fanny Febryani Fatimatuz Zahro Octavia Fery Ferdiansyah Fitri Rahmawati Fitri Rokhmatillah Fitri, Azela Fitria, Nida Hamdan Anshory Martanegara Husty Serviana Husain Ika Zulhidayati Iskandar, Idris Isnie Yusnitha, Isnie Jarnawi Afgani Dahlan Khusnul Novianingsih Kurniati, Nurdiyah Kurniawan, Surya Kusnandi Kusnandi Kusnandi, Kusnandi Lafita Rahmi LUKMAN, LUKMAN M Akbar Gulvara M. Rizqi Ramadhan Mulyaning A, Endang Cahya Mulyaning Asih, Endang Cahya Mutiara Pertiwi N. Nurjanah Nanang Priatna Nasution, Muhammad Awaludin Noor Annisah Sholehah Nur Aidah, Anisa Nur Hidayatullah Romadhon Nur Rofi'ah Nurmala Setianing Putri Pangestu, Herny Wulandari Pangestu, Herny Wulandari Rini Marwati Ririn Sispiyati Rokhmatillah, Fitri Sadiyyah, Fitriani Halimatus Salman, Gelar Saragih, Martin Valerian Amadeus Siti Aisah, Lusi Siti Fatimah Siti Fatimah Suci Permata Hati Sufyani Prabawanto, Sufyani Sulaiman, Faris Hasby Surya Kurniawan Syahbudin, Fauzan Syahraini, Alfi Syarifuddin Syarifuddin Taqiya, Farah Ayyun Tia Purniati Tia Purniati Turmudi Ulfa, Nadia Ulfah Nur Azizah Utari Wijayanti Wijaya, Muhammad Lutfi Wijaya, Muhammad Lutfi Lutfi Wildy Ardan Yaya S. Kusumah Yaya S. Kusumah Yaya Sukjaya Kusumah Yusuf Adhitya