| Literature DB >> 28461156 |
Subhas Khajanchi1, Sandip Banerjee2.
Abstract
The paper describes a mathematical model with synergistic interaction between the malignant glioma cells and the immune system, namely, macrophages, activated Cytotoxic T-Lymphocytes (CTLs), the immunosuppressive cytokine Transforming Growth Factor - β (TGF-β) and the immuno-stimulatory cytokine Interferon - γ (IFN-γ), using a system of coupled non-linear ordinary differential equations (ODEs). We have introduced a new immunotherapeutic drug T11 Target structure (T11TS) into the model, which boosts the macrophages and CTLs to kill the glioma cells. In our analysis, we have established a criteria for the threshold level of immunotherapeutic drug T11TS for which the system will be gliomas free or tumor free. The analytical findings are supported by numerical simulations using parameters estimated from experimental data.Entities:
Keywords: Global stability; Lyapunov function; Malignant gliomas; Sotomayor’s theorem; T11 target structure; Transcritical and saddle-node bifurcations
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Year: 2017 PMID: 28461156 DOI: 10.1016/j.mbs.2017.04.006
Source DB: PubMed Journal: Math Biosci ISSN: 0025-5564 Impact factor: 2.144