A mathematical model of brain tumour response to radiotherapy and chemotherapy considering radiobiological aspects

DOI10.1016/J.JTBI.2009.10.021zbMath1403.92103OpenAlexW2068316689WikidataQ43258725 ScholiaQ43258725MaRDI QIDQ1629074

Neil G. Burnet, Raj Jena, Norman F. Kirkby, Bleddyn Jones, Sarah J. Jefferies, Lara Barazzuol

Publication date: 11 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2009.10.021

zbMATH Keywords

radiotherapy glioblastoma linear quadratic model temozolomide dose escalation tumour regrowth time

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Medical applications (general) (92C50)

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Basic ingredients for mathematical modeling of tumor growth \textit{in vitro}: cooperative effects and search for space ⋮ Additive damage models for cellular pharmacodynamics of radiation-chemotherapy combinations ⋮ A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications ⋮ A stochastic control formalism for dynamic biologically conformal radiation therapy ⋮ Fractional model of brain tumor with chemo-radiotherapy treatment ⋮ Optimal radiation fractionation for low-grade gliomas: insights from a mathematical model ⋮ Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles ⋮ Mathematical and numerical analysis of low-grade gliomas model and the effects of chemotherapy ⋮ A mechanistic investigation into ischemia-driven distal recurrence of glioblastoma ⋮ Effect of combined anticancer drugs treatment on heterogeneous brain tumors ⋮ Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics

Cites Work

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