title: Calculation of the biological effective dose for piecewise defined dose-rate fits.
abstract: An algorithmic solution to the biological effective dose (BED) calculation from the Lea-Catcheside formula for a piecewise defined function is presented. Data from patients treated for metastatic thyroid cancer were used to illustrate the solution. The Lea-Catcheside formula for the G-factor of the BED is integrated numerically using a large number of small trapezoidal fits to each integral. The algorithmically calculated BED is compatible with an analytic calculation for a similarly valued exponentially fitted dose-rate plot and is the only resolution for piecewise defined dose-rate functions.
authors.affiliation: Department of Radiology, Johns Hopkins University, Baltimore, Maryland 21231, USA. rhobbs3@jhmi.edu
authors.forename: Robert F
authors.initials: RF
authors.lastname: Hobbs
authors.forename: George
authors.initials: G
authors.lastname: Sgouros
mesh_terms: D000465:Algorithms; D055592:Biophysical Phenomena; D006801:Humans; D007457:Iodine Radioisotopes; D049268:Positron-Emission Tomography / Q000706:statistics & numerical data; D011874:Radiometry / Q000706:statistics & numerical data*; D011880:Radiotherapy Planning, Computer-Assisted / Q000706:statistics & numerical data; D012469:Salivary Glands / Q000000981:diagnostic imaging; D013964:Thyroid Neoplasms / Q000532:radiotherapy / Q000556:secondary
chemical_list: D007457:Iodine Radioisotopes