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/).

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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  -