SUATU MODEL MATEMATIKA INTERAKSI SEL KANKER NASOFARING DENGAN VIRUS EPSTEIN-BARR (EBV) DENGAN INTERVENSI KEMOTERAPI
DOI:
https://doi.org/10.25077/jmu.10.4.499-509.2021Abstract
Kanker nasofaring (KNF) merupakan kanker yang berasal dari sel epitel nasofaring yang berada di rongga belakang hidung dan di belakang langit-langit rongga mulut. Karsinoma nasofaring sangat erat kaitannya dengan infeksi Epstein Barr Virus (EBV). Pengobatan kanker nasofaring dapat ditempuh memlaui berbagai cara, seperti operasi atau pembedahan, radioterapi, kemoterapi, terapi hormon, dan imunoterapi. Pada makalah ini disusun model matematika perkembangan sel nasofaring akibat infeksi virus EBV dengan intervensi kemoterapi. Model berbentuk sistem persamaan diferensial biasa berdimensi empat yang mendeskripsikan interaksi sel sehat, virus, sel terinfeksi, dan sel karsinoma invasif. Selanjutnya dibahas eksistensi dan analisis kestabilan lokal dari titik ekuilibrium yang menunjukkan bahwa tingkat infeksi dan intervensi pengobatan merupakan faktor penting dalam perkembangan kanker nasofaring. Simulasi numerik diberikan untuk memverifikasi teorema yang diperoleh.
Kata Kunci: Kanker nasofaring, model matematika, kestabilan lokal
Downloads
References
Rahman, S., Budiman, B.J., Subroto, H., 2015, Faktor Risiko Non Viral Pada Karsinoma Nasofaring, Jurnal Kesehatan Andalas, Vol. 4, no.3, hal: 988 – 994
Komite Penanggulangan Kanker Nasional Kemenkes RI, 2021.,Panduan Penatalaksanaan Kanker Nasofaring, https://www.kanker.kemkes.go.id/guidelines/PPKNasofaring.pdf, ditemukenali 30 Mei 2021.
Kartikasari, Y., Murniati, Sakur, M., 2021, Prosedur Pemeriksaan MRI Leher Pada Kasus Karsinoma Nasofaring Di Instalasi Radiologi RS Ken Saras Kabu-paten Semarang, Jurnal Imejing Diagnostik (JImeD), Vol 7, hal: 48 – 58
Dewi,S.P., Handoko, Yudharto, M.A., Gondhowiardjo, S.S., 2020, Kadar Plasma Epstein-Barr Virus DNA sebagai Parameter Prognosis pada Kanker Nasofaring Tidak Berkeratin, Radioterapi dan Onkologi Indonesia, Vol 11, no. 1, hal: 17 – 23
Susworo, R., 2004, Kanker Nasofaring Epidemiologi dan Pengobatan Mutakhir, CDK, PT. Kalbe Farma, hal: 16 – 19
Faiza, S.,Rahman, S., Asri, A., 2016, Faktor Risiko Non Viral Pada Karsinoma Nasofaring Karakteristik Klinis dan Patologis Karsinoma Nasofaring di Bagian
THT-KL RSUP Dr. M. Djamil Padang, Jurnal Kesehatan Andalas, Vol. 5, no.1, hal: 90 – 96
Sugiyanto, 2016, A Stability Mathematical Model of Nasopharyngeal Carcinoma on Cellular Level, Biology, Medicine, Natural Product Chemistry, Vol 5, no. 2,
hal: 61 – 64
Sudiono, J., Hassan, I., 2013, DNA Epstein-Barr virus (EBV) sebagai biomaker diagnosis karsinoma nasofaring, Dental Journal, vol 46, no. 3, hal: 140 – 147
Sugiyanto, Ndii, M. Z., 2019, Mathematical Modeling with T Cell in Nasofaringeal Carcinoma, Kaunia, vol 15, no. 2, hal: 43 – 47
Sugiyanto, Aryati, L., Adi-Kusumo, F., Hardianti, M.S., 2018, Link of Nasopharyngeal Carcinoma and Epstein-Barr Virus, Biology, Medicine, Natural Product Chemistry, Vol 7, no. 2, hal: 51 – 55
Perko, L. 2001, Differential equations and dynamical systems, Springer-Verlag, New York.
Downloads
Published
How to Cite
Issue
Section
License
All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0). This license allows published content to be freely accessed, shared, redistributed, and adapted for any purpose, including commercial use, provided that the applicable license conditions are followed.
Copyright Holder
The copyright of articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND), in accordance with the journal's stated copyright policy.
Author Rights
Under the CC BY-SA 4.0 license, authors may share, distribute, and reuse their published articles, subject to the applicable license conditions. These rights include:
-
Self-Archiving: Authors may deposit their published articles in institutional repositories, personal websites, or academic platforms.
-
Reuse: Authors may reuse their published work in subsequent publications, research, teaching materials, or other lawful purposes, provided that appropriate attribution is maintained.
-
Distribution: Authors may share and distribute their published articles without requiring additional permission under the terms of the license.
Creative Commons License (CC BY-SA 4.0)
Under the CC BY-SA 4.0 license, users are free to:
-
Share: Copy and redistribute the material in any medium or format.
-
Adapt: Remix, transform, and build upon the material for any purpose, including commercial purposes.
These permissions are subject to the following conditions:
-
Attribution: Users must give appropriate credit to the original author(s), retain relevant copyright notices, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author(s), copyright holder, or journal.
-
ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same CC BY-SA 4.0 license or a compatible license.
-
No Additional Restrictions: Users may not apply legal terms or technological measures that legally restrict others from exercising the rights granted by the license.
For more information about the CC BY-SA 4.0 license, please visit:
https://creativecommons.org/licenses/by-sa/4.0/
Third-Party Content
Third-party materials, including figures, tables, photographs, and illustrations, are covered by the article's CC BY-SA 4.0 license only when their inclusion under that license is authorized.
Materials excluded from the license must be clearly identified with appropriate copyright notices and attribution. Authors are responsible for obtaining any necessary permissions, while users must comply with the applicable licensing terms or permissions when reusing excluded materials.
Copyright and Licensing Information
Copyright and licensing information should be clearly displayed on each published article's landing page and included in the full-text versions (HTML and PDF), where applicable, to ensure transparency regarding copyright ownership and permitted reuse.



