Predicting patient-specific radiotherapy protocols based on mathematical model choice for proliferation saturation index

DOI10.1007/s11538-017-0279-0zbMath1394.92063OpenAlexW2728173650WikidataQ38691830 ScholiaQ38691830MaRDI QIDQ1648986

Heiko Enderling, Eduardo G. Moros, Kujtim Latifi, Jan Poleszczuk, Rachel Walker, Jimmy J. Caudell

Publication date: 5 July 2018

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

Full work available at URL: https://doi.org/10.1007/s11538-017-0279-0

zbMATH Keywords

generalized logistic equationproliferation saturation indexradiation protocol

Mathematics Subject Classification ID

Medical applications (general) (92C50)

Related Items (6)

Mathematical oncology ⋮ Optimal control for a bone metastasis with radiotherapy model using a linear objective functional ⋮ Modelling radiation cancer treatment with a death-rate term in ordinary and fractional differential equations ⋮ Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling ⋮ Simulating tumor volume dynamics in response to radiotherapy: implications of model selection ⋮ A tutorial review of mathematical techniques for quantifying tumor heterogeneity

Cites Work

• The tumor growth paradox and immune system-mediated selection for cancer stem cells
• Selecting radiotherapy dose distributions by means of constrained optimization problems
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Mathematical Models of Avascular Tumor Growth
• The Importance of Spatial Distribution of Stemness and Proliferation State in Determining Tumor Radioresponse

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