Influence of time-dependent stochastic heterogeneity on the radiation response of a cell population

DOI10.1016/0025-5564(94)90058-2zbMath0802.92009OpenAlexW1967250410WikidataQ52373438 ScholiaQ52373438MaRDI QIDQ1336351

Rainer K. Sachs, Philip Hahnfeldt, Lynn R. Hlatky

Publication date: 11 December 1994

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(94)90058-2

zbMATH Keywords

Ornstein-Uhlenbeck processreaction-diffusion equationsolid tumorcellular heterogeneitytumor treatmentexplicit analytic solutionscell-cycle redistributionDNA double-strand breakshypoxic radioresistanceinverse dose-rate effectmulticellular populationresistance to radiationresponse diversityresponse to ionizing radiationtime-dependent stochastic radiosensitivity

Mathematics Subject Classification ID

Medical applications (general) (92C50) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Dose timing in tumor radiotherapy: Considerations of cell number stochasticity ⋮ Optimal solution for a cancer radiotherapy problem ⋮ Reoxygenation and split-dose response to radiation in a tumour model with Krogh-type vascular geometry ⋮ Response of tumor spheroids to radiation: Modeling and parameter estimation ⋮ Ionizing radiation damage to cells: Effects of cell cycle redistribution ⋮ Linear quadratic and tumour control probability modelling in external beam radiotherapy ⋮ Optimal weekly scheduling in fractionated radiotherapy: effect of an upper bound on the dose fraction size

Cites Work

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• A nonlinear structured population model of tumor growth with quiescence
• Evolution of DNA damage in irradiated cells
• DNA damage caused by ionizing radiation
• Stochastic models for subpopulation emergence in heterogeneous tumors

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