Numerical Solution Model of Brain Tumors Glioblastoma multiforme with Treatment Effect Using Runge Kutta Fehlberg Methods
- DOI
- 10.2991/assehr.k.210421.111How to use a DOI?
- Keywords
- Glioblastoma multiforme (GBM), treatment effect, numerical solution using Runge Kutta Fehlberg method
- Abstract
The mathematical model of glioblastoma multiforme brain tumor (GBM) consists of a population of tumor cells that are sensitive x(t) and the pupulation of cells susceptible to tumor y(t). The effect of treatment on sensitive cells is given by Chemoresistant and pleotropic (d1), whereas the effect of treatment on susceptible cells is a precursor to prevention in tumor patients (d2). This article aims to solve the equation of GBM brain tumor model with the effect of treatment using Runge Kutta Fehlberg method. The result of Runge Kutta Fehlberg method has high accuracy and has fulfilled the given error tolerance of 10–7. Numerical solutions show that both populations have met the error tolerance when it reaches 200 days with Δt = 1. Based on these results, the numerical solution to the effect of treatment using the Runge Kutta Fehlberg method has a good accuracy in solving nonlinear common differential equations of GBM brain tumor mode.
- 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/).
Cite this article
TY - CONF AU - Usman Pagalay AU - Juhari AU - Ahmad Syamsuadi AU - Marwan Desky Ismansyah PY - 2021 DA - 2021/04/22 TI - Numerical Solution Model of Brain Tumors Glioblastoma multiforme with Treatment Effect Using Runge Kutta Fehlberg Methods BT - Proceedings of the International Conference on Engineering, Technology and Social Science (ICONETOS 2020) PB - Atlantis Press SP - 767 EP - 776 SN - 2352-5398 UR - https://doi.org/10.2991/assehr.k.210421.111 DO - 10.2991/assehr.k.210421.111 ID - Pagalay2021 ER -