Derivation of the tumour control probability (TCP) from a cell cycle model
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Publication:883749
DOI10.1080/10273660600968937zbMath1111.92029OpenAlexW2077768973MaRDI QIDQ883749
Publication date: 12 June 2007
Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/222924
birth-death processordinary differential equations modelcell cycleradiation treatmenttumor control probability
Applications of branching processes (60J85) Medical applications (general) (92C50) Cell biology (92C37)
Related Items (12)
Analysis of an integro-differential system modeling tumor growth ⋮ Tumor growth modeling based on cell and tumor lifespans ⋮ The universal growth rate behavior and regime transition in adherent cell colonies ⋮ An Îto stochastic differential equations model for the dynamics of the MCF-7 breast cancer cell line treated by radiotherapy ⋮ Mathematical modeling of the role of \textit{survivin} on dedifferentiation and radioresistance in cancer ⋮ The impact of random microenvironmental fluctuations on tumor control probability ⋮ A branching process model of heterogeneous DNA damages caused by radiotherapy in \textit{in vitro} cell cultures ⋮ Some Classes of Stochastic Differential Equations as an Alternative Modeling Approach to Biomedical Problems ⋮ Multinomial model-based formulations of TCP and NTCP for radiotherapy treatment planning ⋮ A mathematical study of the impact of cell plasticity on tumour control probability ⋮ An Extension of the Target Theory in Biology Applied to System Reliability ⋮ Linear quadratic and tumour control probability modelling in external beam radiotherapy
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