Open AccessA mathematical approach to optimal selection of dose values in the additive dose method of ERP dosimetry
Author(s) -
Robert B. Hayes,
E.H. Haskell,
G.H. Kenner
Publication year - 1996
Language(s) - English
Resource type - Reports
DOI - 10.2172/483344
Subject(s) - dosimetry , linearity , mathematics , range (aeronautics) , standard deviation , statistics , biological system , computational physics , mathematical optimization , nuclear medicine , materials science , physics , medicine , quantum mechanics , composite material , biology
Additive dose methods commonly used in electron paramagnetic resonance (EPR) dosimetry are time consuming and labor intensive. We have developed a mathematical approach for determining optimal spacing of applied doses and the number of spectra which should be taken at each dose level. Expected uncertainitites in the data points are assumed to be normally distributed with a fixed standard deviation and linearity of dose response is also assumed. The optimum spacing and number of points necessary for the minimal error can be estimated, as can the likely error in the resulting estimate. When low doses are being estimated for tooth enamel samples the optimal spacing is shown to be a concentration of points near the zero dose value with fewer spectra taken at a single high dose value within the range of known linearity. Optimization of the analytical process results in increased accuracy and sample throughput