Modeling and Simulation of the Effect of Radiotherapy on Nasopharyngeal Tumor Volume with the Fourth Order Runge-Kutta Method

DOI

10.2991/assehr.k.210421.062How to use a DOI?

Keywords

Cancer, Tumor, Radiotherapy, Runge Kutta Order-4, Dose

Abstract

Cancer that is benign is often known as a tumor. Currently cancer is a disease that causes death in the world. Cancer can attack all human organs including the nasopharynx. Nasopharyngeal cancer occupies the top 10 most cancers in Indonesia. Various methods have been used to treat cancer, one of which is radiotherapy. The dose of radiotherapy using a fractionated dose and a dose fraction for nasopharyngeal cancer of 1.6 Gy-2.2 Gy. The dosing must consider many things, such as the patient’s condition, the duration of treatment and the dose of therapy. Due to the complexity of the metabolic processes of tumor cells, so far it has not been able to reveal the changes in detail. In this research, using mathematical modeling for clinical treatment including cancer treatment. In this study, the modeling used was Gompertz tumor growth and Linear Quadratic (LQ) radiotherapy model. Modeling uses the Rungge-Kutta Order 4 method to solve differential equations and has a higher accuracy than the Heun method. The model was applied to 13 clinical data of nasopharyngeal cancer patients. The results of this study indicate validation with a high level of accuracy using the analysis of the Root Mean Square Error (RMSE) and Mean Absolute Percentage Error (MAPE). RMSE and MAPE were best in 12 patients with values of 0.96 and 2.31%. All models of the 13 patients were consistent with clinical data. Therefore, this mathematical model can be used as a reference for radiotherapy planning models in hospitals.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Devi Kartika
AU  - Farid Samsu
AU  - Khusnul Yakin
PY  - 2021
DA  - 2021/04/22
TI  - Modeling and Simulation of the Effect of Radiotherapy on Nasopharyngeal Tumor Volume with the Fourth Order Runge-Kutta Method
BT  - Proceedings of the International Conference on Engineering, Technology and Social Science (ICONETOS 2020)
PB  - Atlantis Press
SP  - 431
EP  - 439
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210421.062
DO  - 10.2991/assehr.k.210421.062
ID  - Kartika2021
ER  -