Linear quadratic and tumour control probability modelling in external beam radiotherapy

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

Research output: Contribution to journalArticlepeer-review

77 Citations (Scopus)


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 languageEnglish
Pages (from-to)799-817
Number of pages19
JournalJournal of Mathematical Biology
Issue number4-5
Publication statusPublished - Apr 2009

ASJC Scopus subject areas

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


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