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Linear quadratic and tumour control probability modelling in external beam radiotherapy

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Abstract

The standard linear-quadratic (LQ) survival model for external beam radiotherapy is reviewed with particular emphasis on studying how different schedules of radiation treatment planning may be affected by different tumour repopulation kinetics. The LQ model is further examined in the context of tumour control probability (TCP) models. The application of the Zaider and Minerbo non-Poissonian TCP model incorporating the effect of cellular repopulation is reviewed. In particular the recent development of a cell cycle model within the original Zaider and Minerbo TCP formalism is highlighted. Application of this TCP cell-cycle model in clinical treatment plans is explored and analysed.

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Authors and Affiliations

  1. School of Mathematics and Physics, Queen’s University Belfast, Belfast, BT7 1NN, UK

    S. F. C. O’Rourke & H. McAneney

  2. Centre for Cancer Research and Cell Biology, School of Biomedical Sciences, Queen’s University Belfast, Belfast, BT9 7AB, UK

    S. F. C. O’Rourke

  3. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    T. Hillen

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O’Rourke, S.F.C., McAneney, H. & Hillen, T. Linear quadratic and tumour control probability modelling in external beam radiotherapy. J. Math. Biol. 58, 799–817 (2009). https://doi.org/10.1007/s00285-008-0222-y

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