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 LD 50 for humans in total body irradiation. The death rate equation der ived from the “probacent” - probability equation of survival probability was employed in the author’s previous study to construct the general formula of LD 50 as a function of dose rate and duration of exposure, using an analytical method of least maximum dif ference 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 LD 50 . There is a remarkable agreement among values of computer - program - of - linear - regression - derive d, least - maximum - difference - derived and reported LD 50 . 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 o f LD 50 is better fitting the reported data on LD 50 in total body irradiation in humans. The computer program of linear regression described in this study may be helpful in biomedical research. Keywords: Computer Program; Linear Regression; Total Body Irradiation; Let h al Radiation Dose; Formula of LD 50 ; Formula of Mortality; Safety in Radiotherapy; Radiation Hazard and Injury; Global Safety.