On relating the generalized equivalent uniform dose formalism to the linear-quadratic model.

Journal Article (Journal Article)

Two main approaches are commonly used in the literature for computing the equivalent uniform dose (EUD) in radiotherapy. The first approach is based on the cell-survival curve as defined in the linear-quadratic model. The second approach assumes that EUD can be computed as the generalized mean of the dose distribution with an appropriate fitting parameter. We have analyzed the connection between these two formalisms by deriving explicit formulas for the EUD which are applicable to normal distributions. From these formulas we have established an explicit connection between the two formalisms. We found that the EUD parameter has strong dependence on the parameters that characterize the distribution, namely the mean dose and the standard deviation around the mean. By computing the corresponding parameters for clinical dose distributions, which in general do not follow the normal distribution, we have shown that our results are also applicable to actual dose distributions. Our analysis suggests that caution should be used in using generalized EUD approach for reporting and analyzing dose distributions.

Full Text

Duke Authors

Cited Authors

  • Djajaputra, D; Wu, Q

Published Date

  • December 2006

Published In

Volume / Issue

  • 33 / 12

Start / End Page

  • 4481 - 4489

PubMed ID

  • 17278799

International Standard Serial Number (ISSN)

  • 0094-2405

Digital Object Identifier (DOI)

  • 10.1118/1.2369469


  • eng

Conference Location

  • United States