Open AccessAnalisis Dinamik Model Penyebaran Tumor Otak dengan Respon Sel Imun
Author(s) -
Resti Dwi Anggraini,
Usman Pagalay,
Achmad Nashichuddin
Publication year - 2022
Publication title -
jurnal riset mahasiswa matematika
Language(s) - English
Resource type - Journals
eISSN - 2808-4926
pISSN - 2808-1552
DOI - 10.18860/jrmm.v1i3.14339
Subject(s) - cd8 , immune system , glioma , tumor cells , cytotoxic t cell , neuroscience , biology , microbiology and biotechnology , cancer research , immunology , biochemistry , in vitro
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.