<p>Survival task for the mathematical model of glioma therapy with blood-brain barrier</p>

Kovalenko S.Yu.; Yusubalieva G.M.

Issue 1, 2018 Vol. 10

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Survival task for the mathematical model of glioma therapy with blood-brain barrier

Kovalenko S.Yu., Yusubalieva G.M.

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List of references:

P. Y. Bondiau, et al. Biocomputing: numerical simulation of glioblastoma growth using diffusion tensor imaging // Phys. Med. Biol. — 2008. — V. 53. — P. 879–893. — DOI: 10.1088/0031-9155/53/4/004.
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T. Galochkina, A. Bratus, V. M. Perez-Garcia. Optimal radiation fractionation for low-grade gliomas: Insights from a mathematical model // Mathematical Biosciences. — 2015. — V. 267. — P. 1–9. — DOI: 10.1016/j.mbs.2015.05.006. — MathSciNet: MR3378908.
J. D. Murray. Mathematical Biology. II. Spatial Models and Biomedical Applications. — Springer, 2003. — MathSciNet: MR1952568.
A. S. Bratus, S. Yu. Kovalenko, E. Fimmel. On viable therapy strategy for a mathematical spatial cancer model describing the dynamics of the malignant and healthy cells // Mathematical Biosciences and Engineering. — 2015. — V. 12, no. 1. — P. 163–183. — DOI: 10.3934/mbe.2015.12.163. — MathSciNet: MR3327918.
E. Konukoglu, et al. Extrapolating glioma invasion margin in brain magnetic resonance images: suggesting new irradiation margins // Med. Image Anal. — 2010. — V. 14. — P. 111–125. — DOI: 10.1016/j.media.2009.11.005.
R. Rockne, et al. Predicting the efficacy of radiotherapy in individual glioblastoma patients in vivo: a mathematical modeling approach // Phys. Med. Biol. — 2010. — V. 55. — P. 3271–3285. — DOI: 10.1088/0031-9155/55/12/001.
G. M. Yusubalieva, et al. Blood—Brain Barrier Permeability in Healthy Rats and Rats with Experimental C6 Glioma after Fractionated Radiotherapy of the Brain // Problems of Neurosurgery Named After N. N. Burdenko. — 2015. — V. 79, no. 3. — P. 12–23.

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International Interdisciplinary Conference "Mathematics. Computing. Education"