Computer Program of Linear Regression for “Probacent” Model Predicting Human Tolerance to Total Body Irradiation

Abstract

A clear and exact quantitative relationship between dose of radiation and mortality in humans is still not known because of lack of human data thatwould enable to determine LD50 for humans in total body irradiation. The death rate equation derived from the “probacent”-probability equation of survival probability was employed in the author’s previous study to construct the general formula of LD50 as a function of dose rate and duration of exposure, using an analytical method of least maximum difference principle. In this study, a computer program of least sum of squares described in the author’s previous publication is used to construct a formula of LD50. There is a remarkable agreement among values of computer-program-of-linear-regressionderived, least-maximum-difference-derived and reported LD50. The results suggest that the computer program of linear regression seems to be simple, accurate, convenient and preferable than the previously used least maximum difference principle, and the formula of LD50 is better fitting the reported data on LD50 in total body irradiation in humans. The computer program of linear regression described in this study may be helpful in biomedical research.