PMID: 9191898May 1, 1997Paper

Quantifying the position and steepness of radiation dose-response curves

International Journal of Radiation Biology
S M Bentzen, S L Tucker

Abstract

Radiation dose-response curves are of fundamental importance both in practical radiotherapy and as the basis of more theoretical considerations concerning the potential benefit to be gained from modified dose-fractionation schedules or of the effects of dosimetric and biological variability. The steepness of the dose-response curve is a key parameter and quantitative measures of steepness derived from clinical data are strongly needed. Unfortunately, there are many ambiguities associated with quantifying the steepness of radiation dose-response curves and these are identified and discussed in the present paper. The following problems are reviewed. (1) In the literature, various descriptors of 'steepness' are reported. We focus on the normalized dose-response gradient, gamma, and the dose-response slope, theta. The mathematical properties and the relationship between these are discussed. (2) Steepness estimates depend on the mathematical model used to describe the dose response relationship. Three standard formulations are considered: the Poisson, the logistic and the probit dose-response model. The magnitude of the model dependence is influenced by the range of the empirical dose-response data available, and is most pronounced ...Continue Reading

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Citations

Aug 10, 2013·Medical Physics·Ivan R VogeliusSøren M Bentzen
Dec 17, 2010·Medical Physics·Bo ZhaoJay Burmeister
Aug 21, 2013·International Journal of Radiation Oncology, Biology, Physics·Minna Wedenberg
Aug 6, 2013·International Journal of Radiation Oncology, Biology, Physics·N Patrik BrodinSøren M Bentzen
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