Analysis of anticancer efficiency of combined fractionated radiotherapy and antiangiogenic therapy via mathematical modelling

DOI10.1515/rnam-2018-0019zbMath1396.92035OpenAlexW2885314662WikidataQ129436362 ScholiaQ129436362MaRDI QIDQ1669287

Maxim B. Kuznetsov, Vladimir V. Gubernov, Andrey V. Kolobov

Publication date: 30 August 2018

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2018-0019

zbMATH Keywords

radiotherapyantiangiogenic therapytumor modellingnormalization window

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)

Related Items (3)

Mathematical modelling for spatial optimization of irradiation during proton radiotherapy with nanosensitizers ⋮ Investigation of solid tumor progression with account of proliferation/migration dichotomy via Darwinian mathematical model ⋮ Optimization of antitumor radiotherapy fractionation via mathematical modeling with account of 4 R's of radiobiology

Uses Software

• SHASTA

Cites Work

• Unnamed Item
• Optimal scheduling of radiotherapy and angiogenic inhibitors
• The study of antitumor efficacy of bevacizumab antiangiogenic therapy using a mathematical model
• Transient alleviation of tumor hypoxia during first days of antiangiogenic therapy as a result of therapy-induced alterations in nutrient supply and tumor metabolism -- analysis by mathematical modeling
• Mathematical modelling of chemotherapy combined with bevacizumab
• New insights into vascular collapse and growth dynamics in solid tumors
• How tumour-induced vascular changes alter angiogenesis: insights from a computational model
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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