Correction of stereological parameters from biased samples on nucleated particle phases

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Abstract
General formulations for correcting component-biased S/V estimates on poly-dispersed phases of nucleated particles are set out. Direct application of these corrections to monodispersed phases where nucleus and cell are spheroids, yield explicit corrections. As a rule, the corrected specific surface area of the containing bodies equals the product of the nuclear-biased estimate times a correction coefficient, which is bigger than one, and depends upon the shape of the components and the relative volume of nucleus-in-cell. Reference curves which allow a rapid obtention of the correction factor, are provided. Simple formulae for correcting biased surface density and surface-to-volume ratio estimates other than the specific surface area, are also given, together with the standard errors of the corrected parameters.