title: Biological effects and equivalent doses in radiotherapy: A software solution.
abstract: BACKGROUND
  The limits of TDF (time, dose, and fractionation) and linear quadratic models have been known for a long time. Medical physicists and physicians are required to provide fast and reliable interpretations regarding delivered doses or any future prescriptions relating to treatment changes.
  
  
  OBJECTIVE
  We, therefore, propose a calculation interface under the GNU license to be used for equivalent doses, biological doses, and normal tumor complication probability (Lyman model).
  
  
  METHODS
  THE METHODOLOGY USED DRAWS FROM SEVERAL SOURCES: the linear-quadratic-linear model of Astrahan, the repopulation effects of Dale, and the prediction of multi-fractionated treatments of Thames.
  
  
  CONCLUSIONS
  The results are obtained from an algorithm that minimizes an ad-hoc cost function, and then compared to an equivalent dose computed using standard calculators in seven French radiotherapy centers.
authors.affiliation: University of Corsica, CNRS UMR SPE 6134, Campus Grimaldi, 20250 Corte, France ; Hospital of Castelluccio, Radiotherapy Unit, BP 85, 20177 Ajaccio, France.
authors.forename: Cyril
authors.initials: C
authors.lastname: Voyant
authors.affiliation: Joseph Fourier University, 38000 Grenoble, France.
authors.forename: Daniel
authors.initials: D
authors.lastname: Julian
authors.affiliation: Centre de la république, Radiotherapy Unit, 63000 Clermont-Ferrand, France.
authors.forename: Rudy
authors.initials: R
authors.lastname: Roustit
authors.affiliation: Hospital of Castelluccio, Radiotherapy Unit, BP 85, 20177 Ajaccio, France.
authors.forename: Katia
authors.initials: K
authors.lastname: Biffi
authors.affiliation: Hospital of Castelluccio, Radiotherapy Unit, BP 85, 20177 Ajaccio, France.
authors.forename: Céline
authors.initials: C
authors.lastname: Lantieri
keywords: Fractionation; Linear quadratic; Radiobiology; Repopulation; Time effect