Linear quadratic and tumour control probability modelling in external beam radiotherapy

Francesca (SFC) Shearer (Nee O'Rourke); Helen McAneney; T. Hillen

doi:10.1007/s00285-008-0222-y

Linear quadratic and tumour control probability modelling in external beam radiotherapy

Francesca (SFC) Shearer (Nee O'Rourke), Helen McAneney, T. Hillen

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

60 Citations (Scopus)

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.

Original language	English
Pages (from-to)	799-817
Number of pages	19
Journal	Journal of Mathematical Biology
Volume	58
Issue number	4-5
DOIs	https://doi.org/10.1007/s00285-008-0222-y
Publication status	Published - Apr 2009

ASJC Scopus subject areas

Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics
Modelling and Simulation

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10.1007/s00285-008-0222-y

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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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AB - 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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DO - 10.1007/s00285-008-0222-y

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JO - Journal of Mathematical Biology

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Linear quadratic and tumour control probability modelling in external beam radiotherapy

Abstract

ASJC Scopus subject areas

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