title: The Hug-Kellerer equation as the universal cell survival curve.
abstract: The Hug-Kellerer (H-K) equation is one of the earliest proposed radiation cell survival curves. We examine this equation in view of the recent perceived need for a universal cell survival curve which would be applicable to single radiation fractions at high doses. We derive relationships between the three parameters of the H-K equation and the parameters alpha and beta of the linear-quadratic equation. Using these relationships we show how the H-K equation can be used to determine single-fraction doses which are equivalent in theory to the dose in a conventional multi-fraction course of radiation therapy.
authors.affiliation: Department of Radiation Oncology, Wake Forest University School of Medicine, Winston-Salem, NC 27157, USA.
authors.forename: Kenneth E
authors.initials: KE
authors.lastname: Ekstrand
mesh_terms: D002460:Cell Line; D002470:Cell Survival / Q000528:radiation effects; D019583:Dose Fractionation, Radiation; D004307:Dose-Response Relationship, Radiation; D008954:Models, Biological