Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells

DOI10.1007/s00285-022-01819-yzbMath1501.92055OpenAlexW4304989443MaRDI QIDQ2088009

Cameron Meaney, Arian Novruzi, Mohammad Kohandel

Publication date: 21 October 2022

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

Full work available at URL: https://doi.org/10.1007/s00285-022-01819-y

zbMATH Keywords

optimizationradiation therapyapplied mathematicscancer heterogeneitymathematical oncology

Mathematics Subject Classification ID

Medical applications (general) (92C50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Numerical methods in optimal control (49M99)

Cites Work

• A class of optimization problems in radiotherapy dosimetry planning
• Selecting radiotherapy dose distributions by means of constrained optimization problems
• On the convergence properties of the projected gradient method for convex optimization
• Global existence in reaction-diffusion systems with control of mass: a survey
• Optimal radiation fractionation for low-grade gliomas: insights from a mathematical model
• Optimization models for radiotherapy patient scheduling
• Mathematical modeling of the effects of tumor heterogeneity on the efficiency of radiation treatment schedule
• Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation
• Diffusive logistic equations with indefinite weights: population models in disrupted environments

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