PMID: 8947535Nov 1, 1996Paper

Improved models of tumour cure

International Journal of Radiation Biology
S L Tucker, J M Taylor

Abstract

The standard mechanistic model for the probability of tumour cure (the "Poisson model') is based on the assumption that the number of surviving clonogens at the end of treatment follows a Poisson distribution from tumour to tumour. This assumption is not correct, however, if proliferation of tumour clonogens occurs during treatment, as would be expected in general during a fractionated course of radiotherapy. In the present study, the possible magnitude of the error in the Poisson model was investigated for tumours treated with either conventional fractionation or split-course therapy. An example is presented in which the Poisson model has an absolute error of nearly 100%, predicting a cure rate of 0% when in fact the cure rate was close to 100%. The largest errors in the Poisson model found in this study were for very small tumours (approximately 100 clonogens), but for larger tumours (> or = 10(6) clonogens), the Poisson model may still be highly inaccurate, predicting a cure rate that differs from the actual cure rate by as much as 40%. Three new tumour-cure models are proposed (the GS, PS, and GS+ models), and their accuracy is also investigated. Two of these (the GS and PS models) are better than the Poisson model for the ...Continue Reading

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Citations

Jun 4, 2010·Lifetime Data Analysis·Yu GuSudipto Banerjee
Nov 8, 2007·Medical Physics·Robert D Stewart, X Allen Li
Apr 2, 2011·Medical Physics·Marco Zaider, Leonid Hanin
May 1, 1997·International Journal of Radiation Biology·S M Bentzen, S L Tucker
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Sep 11, 2002·Breast Cancer Research and Treatment·Damian R Beil, Lawrence M Wein
Nov 1, 2001·Physics in Medicine and Biology·M ZaiderS A Leibel
Aug 5, 2006·Statistical Methods in Medical Research·Freda CoonerA Marshall McBean
Jan 4, 2001·Mathematical Biosciences·L G Hanin

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