Mathematical model of brain tumour growth with drug resistance

DOI10.1016/J.CNSNS.2021.106013zbMath1475.92090arXiv2012.08252OpenAlexW3198341747MaRDI QIDQ2247011

P. R. Protachevicz, José Trobia, Hai-Peng Ren, Moises S. Santos, Iberê L. Caldas, Antônio M. Batista, Ricardo L. Viana, Kelly C. Iarosz, Celso Grebogi, Kun Tian, José D. jun. Szezech, Fernando S. Borges

Publication date: 16 November 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08252

zbMATH Keywords

brainchemotherapydrug resistancetumourglia-neuron interaction

Mathematics Subject Classification ID

Neural biology (92C20) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Pathology, pathophysiology (92C32)

Related Items (5)

Fractional model of brain tumor with chemo-radiotherapy treatment ⋮ Optimal dosing strategy and sensitivity analysis of a within-host drug resistance model with continuous and impulsive drug treatment ⋮ Stochastic dynamics of nonlinear tumor-immune system with chemotherapy ⋮ Multiple bifurcations in a mathematical model of glioma-immune interaction ⋮ Chaotic transitions in a tumor-Immune model under chemotherapy treatment

Cites Work

• Quantifying the parameter dependent basin of the unsafe regime of asymmetric Lévy-noise-induced critical transitions
• A chemotherapy model for the treatment of cancer with metastasis
• Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment
• The dose-dense principle in chemotherapy
• A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy
• A mathematical model of cancer treatment by immunotherapy
• Chimera states in coupled Hindmarsh-Rose neurons with \(\alpha\)-stable noise
• The role of dose density in combination cancer chemotherapy
• A mathematical model for brain tumor response to radiation therapy
• Tumour chemotherapy strategy based on impulse control theory
• α-stable noise-induced coherence on a spatially extended Fitzhugh–Nagumo system

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