Jurnal Riset Mahasiswa Matematika
Vol 1, No 3 (2022): Jurnal Riset Mahasiswa Matematika

Analisis Dinamik Model Penyebaran Tumor Otak dengan Respon Sel Imun

Resti Dwi Anggraini (Universitas Islam Negeri Maulana Malik Ibrahim Malang)
Usman Pagalay (Universitas Islam Negeri Maulana Malik Ibrahim Malang)
Achmad Nashichuddin (Universitas Islam Negeri Maulana Malik Ibrahim Malang)



Article Info

Publish Date
28 Feb 2022

Abstract

The brain tumor distribution model with immune cell response is in the form of a non-linear system of ordinary differential equations with five equations. Each equation describes how immune cells in the brain, namely macrophages ( ), CD8+ T cells ( ), TGF-  cytokines ( ) and IFN-  ( ) cytokines interact with tumor cells, namely glioma cells ( ). From the calculation of the equilibrium point, the tumor cell-free conditions (DFE) and the endemic conditions (END) were obtained, in which tumor cells in long-term conditions were always present in the patient's brain. By using certain parameter values, it can be illustrated that the END condition is locally asymptotically stable while the DFE condition is locally unstable. This indicates that brain tumor cells, namely glioma cells ( ) will increase to their maximum value of 882650 cells and remain at that number from day 1000 onwards.

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Journal Info

Abbrev

jrmm

Publisher

Subject

Mathematics

Description

Jurnal Riset Mahasiswa Matematika (JRMM) publishes current research articles in any area of Mathematics Research such as graph labelings, modeling, statistics, actuaria, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. JRMM is published six ...