Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment

DOI10.1016/j.jtbi.2015.01.006zbMath1405.92129OpenAlexW2098533923WikidataQ48372529 ScholiaQ48372529MaRDI QIDQ1664562

Fernando S. Borges, Regiane A. N. Siqueira, Murilo S. Baptista, Kelly C. Iarosz, Ricardo L. Viana, Sérgio Roberto Lopes, Antônio M. Batista

Publication date: 27 August 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2015.01.006

zbMATH Keywords

brainchemotherapyglioma

Mathematics Subject Classification ID

Neural biology (92C20) Nonlinear ordinary differential equations and systems (34A34) Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

Chaos in a Discrete Cancer Model ⋮ The effect of time ordering and concurrency in a mathematical model of chemoradiotherapy ⋮ Neimark-Sacker bifurcation of a chemotherapy treatment of glioblastoma multiform (GBM) ⋮ Modeling and analysis of nonlinear tumor‐immune interaction under chemotherapy and radiotherapy ⋮ Stability analysis of a mathematical model for glioma-immune interaction under optimal therapy ⋮ Fractional model of brain tumor with chemo-radiotherapy treatment ⋮ A mathematical model of brain tumor ⋮ Multiple bifurcations in a mathematical model of glioma-immune interaction ⋮ An imaging-informed mechanical framework to provide a quantitative description of brain tumour growth and the subsequent deformation of white matter tracts ⋮ The dose-dense principle in chemotherapy ⋮ Mathematical model of brain tumour growth with drug resistance ⋮ Modeling the dynamics of glioma-immune surveillance ⋮ A mathematical model of chromosome recombination-induced drug resistance in cancer therapy ⋮ A mathematical model that combines chemotherapy and oncolytic virotherapy as an alternative treatment against a glioma

Cites Work

• Unnamed Item
• Qualitative analysis of second-order models of tumor-immune system competition
• A chemotherapy model for the treatment of cancer with metastasis
• A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy
• A cellular automaton model for tumour growth in inhomogeneous environment
• Extinction and permanence of one-prey multi-predators of Holling type II function response system with impulsive biological control
• Tumor growth and chemotherapy: Mathematical methods, computer simulations, and experimental foundations

This page was built for publication: Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment