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.
Citation
International Journal of Education and Research, Vol. 1 No. 5 May 2013Publisher
University of Nairobi
Collections
- Faculty of Education (FEd) [1039]