Reoxygenation and split-dose response to radiation in a tumour model with Krogh-type vascular geometry

DOI10.1007/s11538-007-9287-9zbMath1144.92021OpenAlexW2022708012WikidataQ51893080 ScholiaQ51893080MaRDI QIDQ942907

Alberto Gandolfi, Fasano, Antonio, Alessandro Bertuzzi, Carmela Sinisgalli

Publication date: 8 September 2008

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-007-9287-9

zbMATH Keywords

radiotherapyreoxygenationdose splittingKrogh modeltumour cords

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35)

Related Items (6)

Optimal solution for a cancer radiotherapy problem ⋮ Selecting radiotherapy dose distributions by means of constrained optimization problems ⋮ Response of tumor spheroids to radiation: Modeling and parameter estimation ⋮ A review of mathematical models for the formation of vascular networks ⋮ A mechanistic compartmental model for total antibody uptake in tumors ⋮ Optimal weekly scheduling in fractionated radiotherapy: effect of an upper bound on the dose fraction size

Cites Work

• Regression and regrowth of tumour cords following single-dose anticancer treatment
• Influence of time-dependent stochastic heterogeneity on the radiation response of a cell population
• A Free Boundary Problem with Unilateral Constraints Describing the Evolution of a Tumor Cord Under the Influence of Cell Killing Agents
• Modelling solid tumour growth using the theory of mixtures

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